This website lists the values of the algebraic genus [FL18] and the Taylor invariant [Tay77] for all prime knots with crossing number 12 or less.
Details about how these values were computed are contained in the papers [LM19, FL19].
The Taylor invariant is the best lower bound for the topological (or smooth) slice genus that can be read off the S-equivalence class of the Seifert matrix (or equivalently, the isometry class of the Blanchfield pairing) [Tay77]. The algebraic genus is an upper bound for the topological slice genus; it may also be read off the S-equivalence class of the Seifert matrix.
The algebraic genus of a knot K is in fact equal to its ℤ-slice genus [FL19], which is the minimal genus of a topological slice surface of K whose complement has fundamental group isomorphic to ℤ.
This website has been generated with a modification of a script written by Claudius Zibrowius (link).
Use the buttons above to select which columns are included in the table below.
Click on a row to display the metadata for the invariants in that row.
Click on the column header to sort the table by the values in that column.
| Name | \(g_{alg}\) | Lower bound for \(g_{alg}\) | Upper bound for \(g_{alg}\) | Taylor invariant | Lower bound for Taylor invariant | Upper bound for Taylor invariant |
|---|---|---|---|---|---|---|
| 03_1 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 04_1 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 05_1 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 05_2 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 06_1 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 06_2 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 06_3 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 07_1 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 07_2 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 07_3 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 07_4 | 1 | Alexander polynomial non-trivial | Span of Alexander polynomial | 1 | Fox-Milnor condition | Topological slice genus |
| 07_5 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 07_6 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 07_7 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_01 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_02 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 08_03 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_04 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_05 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 08_06 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_07 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_08 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 08_09 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 08_10 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_11 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_12 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_13 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_14 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_15 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 08_16 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 08_17 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 08_18 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 08_19 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 08_20 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 08_21 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_01 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 09_02 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_03 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 09_04 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_05 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_06 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 09_07 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_08 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_09 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 09_10 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_11 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_12 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_13 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_14 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_15 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 09_16 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 09_17 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 09_18 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_19 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_20 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_21 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_22 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_23 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_24 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_25 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_26 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_27 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 09_28 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_29 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_30 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_31 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 09_32 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_33 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_34 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_35 | 1 | Alexander polynomial non-trivial | Span of Alexander polynomial | 1 | Fox-Milnor condition | Topological slice genus |
| 09_36 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_37 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_38 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_39 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_40 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 09_41 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 09_42 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_43 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 09_44 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_45 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_46 | 1 | Alexander polynomial non-trivial | Span of Alexander polynomial | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 09_47 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 09_48 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 09_49 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 10_001 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_002 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 10_003 | 1 | Alexander polynomial non-trivial | Span of Alexander polynomial | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_004 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_005 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_006 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_007 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_008 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_009 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_010 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_011 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_012 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_013 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_014 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_015 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_016 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_017 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_018 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_019 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_020 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_021 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_022 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_023 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_024 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_025 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_026 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_027 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_028 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_029 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_030 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_031 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_032 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_033 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_034 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_035 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_036 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_037 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_038 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_039 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_040 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_041 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_042 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_043 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_044 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_045 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_046 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 10_047 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_048 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_049 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 10_050 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_051 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_052 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_053 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_054 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_055 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_056 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_057 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_058 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_059 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_060 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_061 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_062 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_063 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_064 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_065 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_066 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 10_067 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_068 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_069 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_070 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_071 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_072 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_073 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_074 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_075 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_076 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_077 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_078 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_079 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_080 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 10_081 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_082 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_083 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_084 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_085 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_086 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_087 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_088 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_089 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_090 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_091 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_092 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_093 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_094 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_095 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_096 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_097 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_098 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_099 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_100 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_101 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_102 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_103 | 2 | Algebraic unknotting number >= 3 | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_104 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_105 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_106 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_107 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_108 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_109 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_110 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_111 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_112 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_113 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_114 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_115 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_116 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_117 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_118 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_119 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_120 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_121 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_122 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_123 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_124 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 10_125 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_126 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_127 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_128 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 10_129 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_130 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_131 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_132 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_133 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_134 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 10_135 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_136 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_137 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_138 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_139 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 10_140 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_141 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_142 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 10_143 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_144 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_145 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_146 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_147 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_148 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_149 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_150 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_151 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_152 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 10_153 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_154 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_155 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 10_156 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_157 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_158 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_159 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_160 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_161 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 10_162 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_163 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 10_164 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 10_165 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_001 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_002 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_003 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_004 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_005 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_006 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_007 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_008 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_009 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_010 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_011 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_012 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_013 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_014 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_015 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_016 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_017 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_018 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_019 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_020 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_021 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_022 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_023 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_024 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_025 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_026 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_027 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_028 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_029 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_030 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_031 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_032 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_033 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_034 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_035 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_036 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_037 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_038 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_039 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_040 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_041 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_042 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_043 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_044 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_045 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_046 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_047 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_048 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_049 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_050 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_051 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_052 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_053 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_054 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_055 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_056 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_057 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_058 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_059 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_060 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_061 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_062 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_063 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_064 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_065 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_066 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_067 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_068 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_069 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_070 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_071 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_072 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_073 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_074 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_075 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_076 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_077 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_078 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_079 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_080 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_081 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_082 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_083 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_084 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_085 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_086 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_087 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_088 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_089 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_090 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_091 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_092 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_093 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_094 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_095 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_096 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_097 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_098 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_099 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_100 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_101 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_102 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_103 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_104 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_105 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_106 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_107 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_108 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_109 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_110 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_111 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_112 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_113 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_114 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_115 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_116 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_117 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_118 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_119 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_120 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_121 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_122 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_123 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 11a_124 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_125 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_126 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_127 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_128 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_129 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_130 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_131 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_132 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_133 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_134 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_135 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_136 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_137 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_138 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_139 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_140 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_141 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_142 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_143 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_144 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_145 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_146 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_147 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_148 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_149 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_150 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_151 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_152 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_153 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_154 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_155 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_156 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_157 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_158 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_159 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_160 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_161 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_162 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_163 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_164 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_165 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_166 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_167 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_168 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_169 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_170 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_171 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_172 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_173 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_174 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_175 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_176 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_177 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_178 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_179 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_180 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_181 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_182 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_183 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_184 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_185 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_186 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_187 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_188 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_189 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_190 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_191 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_192 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_193 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_194 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_195 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_196 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_197 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_198 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_199 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_200 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_201 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_202 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_203 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_204 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_205 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_206 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_207 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_208 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_209 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_210 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_211 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_212 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_213 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_214 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_215 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_216 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_217 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_218 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_219 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_220 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_221 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_222 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_223 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_224 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_225 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_226 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_227 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_228 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_229 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_230 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_231 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_232 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_233 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_234 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 11a_235 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_236 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_237 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_238 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_239 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_240 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 11a_241 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_242 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_243 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_244 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_245 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_246 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_247 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_248 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_249 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_250 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_251 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_252 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_253 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_254 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_255 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_256 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_257 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_258 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_259 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_260 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_261 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_262 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_263 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 11a_264 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_265 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_266 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_267 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_268 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_269 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_270 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_271 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_272 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_273 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_274 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_275 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_276 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_277 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_278 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_279 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_280 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_281 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_282 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_283 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_284 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_285 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_286 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_287 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_288 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_289 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_290 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_291 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_292 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_293 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_294 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_295 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_296 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_297 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_298 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_299 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_300 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_301 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_302 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_303 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_304 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_305 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_306 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_307 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_308 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_309 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_310 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_311 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_312 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_313 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_314 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_315 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_316 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_317 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_318 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_319 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_320 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_321 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_322 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_323 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_324 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_325 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_326 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11a_327 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_328 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_329 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_330 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_331 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_332 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_333 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_334 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 11a_335 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_336 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_337 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_338 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 11a_339 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_340 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_341 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_342 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_343 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_344 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_345 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_346 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_347 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_348 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_349 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_350 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_351 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_352 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_353 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_354 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_355 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 11a_356 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_357 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_358 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_359 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_360 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_361 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_362 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_363 | 1 | Alexander polynomial non-trivial | Span of Alexander polynomial | 1 | Fox-Milnor condition | Topological slice genus |
| 11a_364 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 11a_365 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11a_366 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11a_367 | 5 | Signature | Algebraic unknotting number | 5 | Signature | Topological slice genus |
| 11n_001 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_002 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_003 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_004 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_005 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_006 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_007 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_008 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_009 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_010 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_011 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_012 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_013 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_014 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_015 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_016 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_017 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_018 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_019 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_020 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_021 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_022 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_023 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_024 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_025 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_026 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_027 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_028 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_029 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_030 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_031 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_032 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_033 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_034 | 0 | Algebraic genus >= 0 for all knots | Span of Alexander polynomial | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_035 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_036 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_037 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_038 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_039 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_040 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_041 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_042 | 0 | Algebraic genus >= 0 for all knots | Span of Alexander polynomial | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_043 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_044 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_045 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_046 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_047 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_048 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_049 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_050 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_051 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_052 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_053 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_054 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_055 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_056 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_057 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_058 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_059 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_060 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_061 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_062 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_063 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_064 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_065 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_066 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_067 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_068 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_069 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_070 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_071 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_072 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_073 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_074 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_075 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_076 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_077 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_078 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_079 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_080 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_081 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_082 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_083 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_084 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_085 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_086 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_087 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_088 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_089 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_090 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_091 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_092 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_093 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_094 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_095 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_096 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_097 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_098 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_099 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_100 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_101 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_102 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_103 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_104 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_105 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_106 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_107 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_108 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_109 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_110 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_111 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_112 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_113 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_114 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_115 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_116 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_117 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_118 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_119 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_120 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_121 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_122 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_123 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_124 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_125 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_126 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_127 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_128 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_129 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_130 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_131 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_132 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_133 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 11n_134 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_135 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_136 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_137 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_138 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_139 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_140 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_141 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_142 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_143 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_144 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_145 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_146 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_147 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_148 | 2 | Algebraic unknotting number >= 3 | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_149 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_150 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_151 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_152 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_153 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_154 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_155 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_156 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_157 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_158 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_159 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_160 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_161 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_162 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_163 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_164 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_165 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_166 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_167 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_168 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_169 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_170 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_171 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_172 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 11n_173 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_174 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_175 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_176 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_177 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_178 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_179 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_180 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 11n_181 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_182 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_183 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 11n_184 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 11n_185 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0001 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0002 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0003 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0004 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0005 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0006 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0007 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0008 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0009 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0010 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0011 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0012 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0013 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0014 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0015 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0016 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0017 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0018 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0019 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0020 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0021 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0022 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0023 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0024 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0025 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0026 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0027 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0028 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0029 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0030 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0031 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0032 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0033 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0034 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0035 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0036 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0037 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0038 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0039 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0040 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0041 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0042 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0043 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0044 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0045 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0046 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0047 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0048 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0049 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0050 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0051 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0052 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0053 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0054 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0055 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0056 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0057 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0058 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0059 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0060 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0061 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0062 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0063 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0064 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0065 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0066 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0067 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0068 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0069 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0070 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0071 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0072 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0073 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0074 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0075 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0076 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0077 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0078 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0079 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0080 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0081 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0082 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0083 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0084 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0085 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0086 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0087 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0088 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0089 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0090 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0091 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0092 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0093 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0094 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0095 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0096 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0097 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0098 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0099 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0100 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0101 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0102 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0103 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0104 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0105 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0106 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0107 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0108 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0109 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0110 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0111 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0112 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0113 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0114 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0115 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0116 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0117 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0118 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0119 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0120 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0121 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0122 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0123 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0124 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0125 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0126 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0127 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0128 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0129 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0130 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0131 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0132 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0133 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0134 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0135 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0136 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0137 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0138 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0139 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0140 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0141 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0142 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0143 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0144 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0145 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0146 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0147 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0148 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0149 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0150 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0151 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0152 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0153 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0154 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0155 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0156 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0157 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0158 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0159 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0160 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0161 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0162 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0163 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0164 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0165 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0166 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0167 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0168 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0169 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0170 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0171 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0172 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0173 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0174 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0175 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0176 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0177 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0178 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0179 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0180 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0181 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0182 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0183 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0184 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0185 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0186 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0187 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0188 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0189 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0190 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0191 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0192 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0193 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0194 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0195 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0196 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0197 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0198 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0199 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0200 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0201 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0202 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0203 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0204 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0205 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0206 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0207 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0208 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0209 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0210 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0211 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0212 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0213 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0214 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0215 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0216 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0217 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0218 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0219 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0220 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0221 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0222 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0223 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0224 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0225 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0226 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0227 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0228 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0229 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0230 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0231 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0232 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0233 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0234 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0235 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0236 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0237 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0238 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0239 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0240 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0241 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0242 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0243 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0244 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Explicit isotropic subgroups [LM19] |
| 12a_0245 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0246 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0247 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0248 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0249 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0250 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0251 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0252 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0253 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0254 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0255 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0256 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0257 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0258 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0259 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0260 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0261 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0262 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0263 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0264 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0265 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0266 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0267 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0268 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0269 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0270 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0271 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0272 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0273 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0274 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0275 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0276 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0277 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0278 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0279 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0280 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0281 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0282 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0283 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0284 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0285 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0286 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0287 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0288 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0289 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0290 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0291 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0292 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0293 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0294 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0295 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0296 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0297 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0298 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0299 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0300 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0301 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0302 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0303 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0304 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0305 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0306 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0307 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0308 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0309 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0310 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0311 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0312 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0313 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0314 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0315 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0316 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0317 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0318 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0319 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0320 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0321 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0322 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0323 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0324 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0325 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0326 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0327 | 2 | Algebraic unknotting number >= 3 | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0328 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0329 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0330 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0331 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0332 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0333 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0334 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0335 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0336 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0337 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0338 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0339 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0340 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0341 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0342 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0343 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0344 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0345 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0346 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0347 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0348 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0349 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0350 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0351 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0352 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0353 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0354 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0355 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0356 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0357 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0358 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0359 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0360 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0361 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0362 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0363 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0364 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0365 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0366 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0367 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0368 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0369 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0370 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0371 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0372 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0373 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0374 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0375 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0376 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0377 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0378 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0379 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0380 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0381 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0382 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0383 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0384 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0385 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0386 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0387 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0388 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0389 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0390 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0391 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0392 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0393 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0394 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0395 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0396 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0397 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0398 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0399 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0400 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0401 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0402 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0403 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0404 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0405 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0406 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0407 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0408 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0409 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0410 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0411 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0412 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0413 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0414 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0415 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0416 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0417 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0418 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0419 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0420 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0421 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0422 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0423 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0424 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0425 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0426 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0427 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0428 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0429 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0430 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0431 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0432 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0433 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0434 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0435 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0436 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0437 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0438 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0439 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0440 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0441 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0442 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0443 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0444 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0445 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0446 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0447 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0448 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0449 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0450 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0451 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0452 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0453 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0454 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0455 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0456 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0457 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0458 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0459 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0460 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0461 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0462 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0463 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0464 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0465 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0466 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0467 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0468 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0469 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0470 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0471 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0472 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0473 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0474 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0475 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0476 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0477 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0478 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0479 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0480 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0481 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0482 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0483 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0484 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0485 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0486 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0487 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0488 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0489 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0490 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0491 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0492 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0493 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0494 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0495 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0496 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0497 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0498 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0499 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0500 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0501 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0502 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0503 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0504 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0505 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0506 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0507 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0508 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0509 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0510 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0511 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0512 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0513 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0514 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0515 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0516 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0517 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0518 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0519 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0520 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0521 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0522 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0523 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0524 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0525 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0526 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0527 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0528 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0529 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0530 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0531 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0532 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0533 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0534 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0535 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0536 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0537 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0538 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0539 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0540 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0541 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0542 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0543 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0544 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0545 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0546 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0547 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0548 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0549 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0550 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0551 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0552 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0553 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0554 | 2 | # Generators of H_1(double branched covering) | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0555 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0556 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0557 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0558 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0559 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0560 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0561 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0562 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0563 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0564 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0565 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0566 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0567 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0568 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0569 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0570 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0571 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0572 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0573 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0574 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0575 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0576 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0577 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0578 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0579 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0580 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0581 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0582 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0583 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0584 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0585 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0586 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0587 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0588 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0589 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0590 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0591 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0592 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0593 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0594 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0595 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0596 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0597 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0598 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0599 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0600 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0601 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0602 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0603 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0604 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0605 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0606 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0607 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0608 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0609 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0610 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0611 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0612 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0613 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0614 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0615 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0616 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0617 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0618 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0619 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0620 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0621 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0622 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0623 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0624 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0625 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0626 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0627 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0628 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0629 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0630 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0631 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0632 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0633 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0634 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0635 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0636 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0637 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0638 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0639 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0640 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0641 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0642 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0643 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0644 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0645 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0646 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0647 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0648 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0649 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0650 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0651 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0652 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0653 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0654 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0655 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0656 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0657 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0658 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0659 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0660 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0661 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0662 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0663 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0664 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0665 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0666 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0667 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0668 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0669 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0670 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0671 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0672 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0673 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0674 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0675 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0676 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0677 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0678 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0679 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0680 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0681 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0682 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0683 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0684 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0685 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0686 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0687 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0688 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0689 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0690 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0691 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0692 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0693 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0694 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0695 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0696 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0697 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0698 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0699 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0700 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0701 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0702 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0703 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0704 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0705 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0706 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0707 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0708 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0709 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0710 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0711 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0712 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0713 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0714 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0715 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0716 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0717 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0718 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0719 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0720 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0721 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0722 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0723 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0724 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0725 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0726 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0727 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0728 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0729 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0730 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0731 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0732 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0733 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0734 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0735 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0736 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0737 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0738 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0739 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0740 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0741 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0742 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0743 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0744 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0745 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0746 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0747 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0748 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0749 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0750 | 2 | # Generators of H_1(double branched covering) | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0751 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0752 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0753 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0754 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0755 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0756 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0757 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0758 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0759 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0760 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0761 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0762 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0763 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0764 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0765 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0766 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0767 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0768 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0769 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0770 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0771 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0772 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0773 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0774 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0775 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0776 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0777 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0778 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0779 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0780 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0781 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0782 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0783 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0784 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0785 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0786 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0787 | 2 | Hasse-Taylor bound [LM19] | Algebraic unknotting number | 2 | Hasse-Taylor bound [LM19] | Topological slice genus |
| 12a_0788 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0789 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0790 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0791 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0792 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0793 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0794 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0795 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0796 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0797 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0798 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0799 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0800 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0801 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0802 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0803 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0804 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0805 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0806 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0807 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0808 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0809 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0810 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Explicit isotropic subgroups [LM19] |
| 12a_0811 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0812 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0813 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0814 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0815 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0816 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0817 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0818 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0819 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0820 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0821 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0822 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0823 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0824 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0825 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0826 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0827 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0828 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0829 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0830 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0831 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0832 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0833 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0834 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0835 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0836 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0837 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0838 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0839 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0840 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0841 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0842 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0843 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0844 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0845 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0846 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0847 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0848 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0849 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0850 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0851 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0852 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0853 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0854 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0855 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0856 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0857 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0858 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0859 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0860 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0861 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0862 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0863 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0864 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0865 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0866 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0867 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0868 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0869 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0870 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0871 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0872 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0873 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0874 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0875 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0876 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_0877 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0878 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0879 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0880 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0881 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0882 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0883 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0884 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0885 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0886 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0887 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0888 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0889 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0890 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0891 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0892 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0893 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0894 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0895 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0896 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0897 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0898 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0899 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0900 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0901 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0902 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0903 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0904 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0905 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Explicit isotropic subgroups [LM19] |
| 12a_0906 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0907 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12a_0908 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0909 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0910 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0911 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0912 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0913 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0914 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0915 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0916 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0917 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0918 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0919 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0920 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0921 | 2 | Algebraic unknotting number >= 3 | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0922 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0923 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0924 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0925 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0926 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0927 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0928 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0929 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0930 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0931 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0932 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0933 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0934 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0935 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0936 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0937 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0938 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0939 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0940 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0941 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0942 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0943 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0944 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0945 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0946 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0947 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0948 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0949 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0950 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0951 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0952 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0953 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0954 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0955 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0956 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0957 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0958 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0959 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0960 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0961 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0962 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0963 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0964 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0965 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0966 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0967 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0968 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0969 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0970 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0971 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0972 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0973 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0974 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0975 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0976 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0977 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0978 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0979 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0980 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0981 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0982 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0983 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0984 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0985 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0986 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0987 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0988 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0989 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0990 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_0991 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0992 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0993 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0994 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0995 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_0996 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_0997 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0998 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_0999 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1000 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1001 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1002 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1003 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1004 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_1005 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1006 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1007 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1008 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1009 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1010 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1011 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1012 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1013 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1014 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1015 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1016 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1017 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1018 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1019 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1020 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1021 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1022 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1023 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1024 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1025 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1026 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1027 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1028 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1029 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1030 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1031 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1032 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1033 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1034 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1035 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_1036 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_1037 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1038 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1039 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1040 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1041 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1042 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1043 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1044 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1045 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1046 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1047 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1048 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1049 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1050 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1051 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1052 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1053 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1054 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1055 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1056 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1057 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1058 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1059 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_1060 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1061 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1062 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1063 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1064 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1065 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1066 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1067 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1068 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1069 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1070 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1071 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1072 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1073 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1074 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1075 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1076 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1077 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1078 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1079 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1080 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1081 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1082 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1083 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1084 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1085 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1086 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1087 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1088 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1089 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1090 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1091 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1092 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1093 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1094 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1095 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1096 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1097 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1098 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1099 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1100 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1101 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1102 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1103 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1104 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1105 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1106 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1107 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1108 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1109 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1110 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1111 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1112 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_1113 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1114 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_1115 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1116 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1117 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1118 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1119 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1120 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1121 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1122 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1123 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1124 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1125 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1126 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1127 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1128 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1129 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1130 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1131 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1132 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1133 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1134 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1135 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1136 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1137 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1138 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1139 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1140 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1141 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1142 | 2 | Hasse-Taylor bound [LM19] | Algebraic unknotting number | 2 | Hasse-Taylor bound [LM19] | Topological slice genus |
| 12a_1143 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1144 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1145 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1146 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1147 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1148 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1149 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1150 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1151 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1152 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1153 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1154 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1155 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1156 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1157 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_1158 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1159 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1160 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1161 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1162 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1163 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1164 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1165 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1166 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1167 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1168 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1169 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1170 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1171 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1172 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1173 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1174 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1175 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1176 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1177 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1178 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1179 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1180 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1181 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1182 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1183 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1184 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1185 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1186 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1187 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1188 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1189 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1190 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1191 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1192 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1193 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1194 | 2 | Algebraic unknotting number >= 3 | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1195 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1196 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1197 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1198 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1199 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1200 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1201 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1202 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1203 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1204 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1205 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1206 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1207 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1208 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1209 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1210 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1211 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1212 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1213 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1214 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12a_1215 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1216 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1217 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1218 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1219 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1220 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_1221 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1222 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1223 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1224 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1225 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1226 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1227 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1228 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1229 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1230 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1231 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1232 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1233 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1234 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1235 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1236 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1237 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1238 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1239 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1240 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1241 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1242 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12a_1243 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1244 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1245 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1246 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1247 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1248 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1249 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1250 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1251 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1252 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1253 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1254 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1255 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1256 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1257 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1258 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1259 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1260 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1261 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1262 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1263 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1264 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1265 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1266 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1267 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1268 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1269 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1270 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1271 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1272 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1273 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1274 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1275 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1276 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1277 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1278 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1279 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1280 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1281 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1282 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1283 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12a_1284 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1285 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1286 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12a_1287 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12a_1288 | 1 | Alexander polynomial non-trivial | Crossing changes given in [FL19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_001 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_002 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_003 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_004 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_005 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_006 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_007 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_008 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_009 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_010 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_011 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_012 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_013 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_014 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_015 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_016 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_017 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_018 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_019 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_020 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_021 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_022 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_023 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_024 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_025 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_026 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_027 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_028 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_029 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_030 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_031 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_032 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_033 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_034 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_035 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_036 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_037 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_038 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_039 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_040 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_041 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_042 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_043 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_044 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_045 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_046 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_047 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_048 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_049 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_050 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_051 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_052 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_053 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_054 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_055 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_056 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_057 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_058 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_059 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_060 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_061 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_062 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_063 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_064 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_065 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_066 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_067 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_068 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_069 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_070 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_071 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_072 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_073 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_074 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_075 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_076 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_077 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_078 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_079 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_080 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_081 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_082 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_083 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_084 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_085 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_086 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_087 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_088 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_089 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_090 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_091 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_092 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_093 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_094 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_095 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_096 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_097 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_098 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_099 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_100 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_101 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_102 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_103 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_104 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_105 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_106 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_107 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_108 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_109 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_110 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_111 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_112 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_113 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_114 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_115 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_116 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_117 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_118 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_119 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_120 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_121 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_122 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_123 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_124 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_125 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_126 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_127 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_128 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_129 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_130 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_131 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_132 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_133 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_134 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_135 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_136 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_137 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_138 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_139 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_140 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_141 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_142 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_143 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_144 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_145 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_146 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_147 | 2 | Algebraic unknotting number >= 3 | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_148 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_149 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_150 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_151 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_152 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_153 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_154 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_155 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_156 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_157 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_158 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_159 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_160 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_161 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_162 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_163 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_164 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_165 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_166 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_167 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_168 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_169 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_170 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_171 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_172 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_173 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_174 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_175 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_176 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_177 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_178 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_179 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_180 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_181 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_182 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_183 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_184 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_185 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_186 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_187 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_188 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_189 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_190 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_191 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_192 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_193 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_194 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_195 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_196 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_197 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_198 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_199 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_200 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_201 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_202 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_203 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_204 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_205 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_206 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_207 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_208 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_209 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_210 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_211 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_212 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_213 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_214 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_215 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_216 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_217 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_218 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_219 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_220 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_221 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_222 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_223 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_224 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_225 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_226 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_227 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_228 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_229 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_230 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_231 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_232 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_233 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_234 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_235 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_236 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_237 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_238 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_239 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_240 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_241 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_242 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_243 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_244 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_245 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_246 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_247 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_248 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_249 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_250 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_251 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_252 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_253 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_254 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_255 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_256 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_257 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_258 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_259 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_260 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_261 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_262 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_263 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_264 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_265 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_266 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_267 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_268 | 1 | Alexander polynomial non-trivial | Span of Alexander polynomial | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_269 | 2 | Hasse-Taylor bound [LM19] | Algebraic unknotting number | 2 | Hasse-Taylor bound [LM19] | Topological slice genus |
| 12n_270 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_271 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_272 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_273 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_274 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_275 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_276 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12n_277 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_278 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_279 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_280 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_281 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_282 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_283 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_284 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_285 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_286 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_287 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_288 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_289 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_290 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_291 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_292 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_293 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_294 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_295 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_296 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_297 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_298 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_299 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_300 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_301 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_302 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_303 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_304 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_305 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_306 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_307 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_308 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_309 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_310 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_311 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_312 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_313 | 0 | Algebraic genus >= 0 for all knots | Span of Alexander polynomial | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_314 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_315 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_316 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_317 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_318 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_319 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_320 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_321 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_322 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_323 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_324 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_325 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_326 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_327 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_328 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_329 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_330 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_331 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_332 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_333 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_334 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_335 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_336 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_337 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_338 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_339 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_340 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_341 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_342 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_343 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_344 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_345 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_346 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_347 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_348 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_349 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_350 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_351 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_352 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_353 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_354 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_355 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_356 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_357 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_358 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_359 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_360 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_361 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_362 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_363 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_364 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_365 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_366 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_367 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_368 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_369 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_370 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_371 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_372 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_373 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_374 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_375 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_376 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_377 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_378 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_379 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_380 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_381 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_382 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_383 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_384 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_385 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_386 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_387 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_388 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_389 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_390 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_391 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_392 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_393 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_394 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_395 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_396 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_397 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_398 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_399 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_400 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_401 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_402 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_403 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_404 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_405 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_406 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_407 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_408 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_409 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_410 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_411 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_412 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_413 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_414 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_415 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_416 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_417 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_418 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_419 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_420 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_421 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_422 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_423 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_424 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_425 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_426 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_427 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_428 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_429 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_430 | 0 | Algebraic genus >= 0 for all knots | Span of Alexander polynomial | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_431 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_432 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_433 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_434 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_435 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_436 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_437 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_438 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_439 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_440 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_441 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_442 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_443 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_444 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_445 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_446 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_447 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_448 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_449 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_450 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_451 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_452 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_453 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_454 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_455 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_456 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_457 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_458 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_459 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_460 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_461 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_462 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_463 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_464 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_465 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_466 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_467 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_468 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_469 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_470 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_471 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_472 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_473 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_474 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_475 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_476 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_477 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_478 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_479 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_480 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_481 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_482 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_483 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_484 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_485 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_486 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_487 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_488 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_489 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_490 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_491 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_492 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_493 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_494 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12n_495 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_496 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12n_497 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_498 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_499 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_500 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_501 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_502 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_503 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_504 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_505 | 2 | Hasse-Taylor bound [LM19] | Algebraic unknotting number | 2 | Hasse-Taylor bound [LM19] | Topological slice genus |
| 12n_506 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_507 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_508 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_509 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_510 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_511 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_512 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_513 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_514 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_515 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_516 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_517 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_518 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_519 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_520 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_521 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_522 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_523 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_524 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_525 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_526 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_527 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_528 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_529 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_530 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_531 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_532 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_533 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_534 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_535 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_536 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_537 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_538 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_539 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_540 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_541 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_542 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_543 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_544 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_545 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_546 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_547 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_548 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_549 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Explicit isotropic subgroups [LM19] |
| 12n_550 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_551 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_552 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_553 | 2 | # Generators of H_1(double branched covering) | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_554 | 2 | # Generators of H_1(double branched covering) | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_555 | 2 | # Generators of H_1(double branched covering) | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Explicit isotropic subgroups [LM19] |
| 12n_556 | 2 | # Generators of H_1(double branched covering) | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_557 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_558 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_559 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_560 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_561 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_562 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_563 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_564 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_565 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_566 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_567 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_568 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_569 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_570 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_571 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_572 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_573 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_574 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_575 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_576 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_577 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_578 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_579 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_580 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_581 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_582 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_583 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_584 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_585 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_586 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_587 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_588 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_589 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_590 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_591 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_592 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_593 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_594 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_595 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_596 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_597 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_598 | 2 | Hasse-Taylor bound [LM19] | Algebraic unknotting number | 2 | Hasse-Taylor bound [LM19] | Topological slice genus |
| 12n_599 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_600 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_601 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_602 | 2 | Hasse-Taylor bound [LM19] | Algebraic unknotting number | 2 | Hasse-Taylor bound [LM19] | Topological slice genus |
| 12n_603 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_604 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_605 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_606 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_607 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_608 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_609 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_610 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_611 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_612 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_613 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_614 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_615 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_616 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_617 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_618 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_619 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_620 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_621 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_622 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_623 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_624 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_625 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_626 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12n_627 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_628 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_629 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_630 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_631 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_632 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_633 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_634 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_635 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_636 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_637 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_638 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_639 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_640 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_641 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_642 | 2 | # Generators of H_1(double branched covering) | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Explicit isotropic subgroups [LM19] |
| 12n_643 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_644 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_645 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_646 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_647 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_648 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_649 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_650 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_651 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_652 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_653 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_654 | 2 | Signature | Explicit Alex-triv subgroups [LM19] | 2 | Signature | Topological slice genus |
| 12n_655 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_656 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_657 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_658 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_659 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_660 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_661 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_662 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_663 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_664 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_665 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_666 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_667 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_668 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_669 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_670 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_671 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_672 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_673 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_674 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_675 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_676 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_677 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_678 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_679 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_680 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_681 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_682 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_683 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_684 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_685 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_686 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_687 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_688 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_689 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_690 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_691 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_692 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_693 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_694 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_695 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_696 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_697 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_698 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_699 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_700 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_701 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_702 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_703 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_704 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_705 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_706 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_707 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_708 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_709 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_710 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_711 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_712 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_713 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_714 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_715 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_716 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_717 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_718 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_719 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_720 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_721 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_722 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_723 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_724 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_725 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |
| 12n_726 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_727 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_728 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_729 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_730 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_731 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_732 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_733 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_734 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_735 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_736 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_737 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_738 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_739 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_740 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_741 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_742 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_743 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_744 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_745 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_746 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_747 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_748 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_749 | 2 | Levine-Tristram signature at a primitive third root of unity | Algebraic unknotting number | 2 | Levine-Tristram signature at a primitive third root of unity | Topological slice genus |
| 12n_750 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_751 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_752 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_753 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_754 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_755 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_756 | 2 | Hasse-Taylor bound [LM19] | Algebraic unknotting number | 2 | Hasse-Taylor bound [LM19] | Topological slice genus |
| 12n_757 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_758 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_759 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_760 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_761 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_762 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_763 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_764 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_765 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_766 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_767 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_768 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_769 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_770 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_771 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_772 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_773 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_774 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_775 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_776 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_777 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_778 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_779 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_780 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_781 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_782 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_783 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_784 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_785 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_786 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_787 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_788 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_789 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_790 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_791 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_792 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_793 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_794 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_795 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_796 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_797 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_798 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_799 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_800 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_801 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_802 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_803 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_804 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_805 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_806 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_807 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_808 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_809 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_810 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_811 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_812 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_813 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_814 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_815 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_816 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_817 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_818 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_819 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_820 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_821 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_822 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_823 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_824 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_825 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_826 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_827 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_828 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_829 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_830 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_831 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_832 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_833 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_834 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_835 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_836 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_837 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_838 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_839 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_840 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_841 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_842 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_843 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_844 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_845 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_846 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_847 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_848 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_849 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_850 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_851 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_852 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_853 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_854 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_855 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_856 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_857 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_858 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_859 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_860 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_861 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_862 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_863 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_864 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_865 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_866 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_867 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_868 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_869 | 2 | Linking pairing of double branched covering [FL19] | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_870 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_871 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_872 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_873 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_874 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_875 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_876 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 0 | Taylor invariant >= 0 for all knots | Algebraically slice |
| 12n_877 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_878 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_879 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_880 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_881 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_882 | 3 | Signature | Algebraic unknotting number | 3 | Signature | Topological slice genus |
| 12n_883 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_884 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_885 | 1 | Alexander polynomial non-trivial | Algebraic unknotting number | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_886 | 1 | Alexander polynomial non-trivial | Explicit Alex-triv subgroups [LM19] | 1 | Fox-Milnor condition | Topological slice genus |
| 12n_887 | 2 | Signature | Algebraic unknotting number | 2 | Signature | Topological slice genus |
| 12n_888 | 4 | Signature | Algebraic unknotting number | 4 | Signature | Topological slice genus |