03_1

comments

theta_c = theta_0 for all c between 3 and 97, as computed with khoca, calculation #118

metadata

torus=2,3

author

Claudius Zibrowius

ϑ_0=3

program	khoca
calculation #	0
input	braid [1,1,1]

ϑ_2=4

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1]

ϑ_3=3

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1]

ϑ_5=3

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1]

ϑ_7=3

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1]

program	khoca
calculation #	75
input	braid [1,1,1]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1]

program	khoca
calculation #	75
input	braid [1,1,1]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1]

program	khoca
calculation #	75
input	braid [1,1,1]

s_2(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1]

s_3(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1]

s_5(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1]

s_2=2

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.y0.y0.x1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=3

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=3/1

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

04_1

metadata

ϑ_0=0

program	khoca
calculation #	0
input	braid [1,-2,1,-2]

ϑ_2=0

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.y0.x1.y0.y0.u1,1

program	khoca
calculation #	0
input	braid [1,-2,1,-2]

ϑ_3=0

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.y0.x1.y0.y0.u1,1

program	khoca
calculation #	0
input	braid [1,-2,1,-2]

ϑ_5=0

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.y0.x1.y0.y0.u1,1

program	khoca
calculation #	0
input	braid [1,-2,1,-2]

ϑ_7=0

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.y0.x1.y0.y0.u1,1

program	khoca
calculation #	0
input	braid [1,-2,1,-2]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [1,-2,1,-2]

program	khoca
calculation #	75
input	braid [1,-2,1,-2]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [1,-2,1,-2]

program	khoca
calculation #	75
input	braid [1,-2,1,-2]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [1,-2,1,-2]

program	khoca
calculation #	75
input	braid [1,-2,1,-2]

s_2(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,-2,1,-2]

s_3(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,-2,1,-2]

s_5(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,-2,1,-2]

s_2=0

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.y0.x1.y0.y0.u1,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=5

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=5/2

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

05_1

metadata

torus=2,5

author

Claudius Zibrowius

ϑ_0=6

program	khoca
calculation #	0
input	braid [1,1,1,1,1]

ϑ_2=8

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r0.x1.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1]

ϑ_3=6

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r0.x1.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1]

ϑ_5=6

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r0.x1.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1]

ϑ_7=6

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r0.x1.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1]

program	khoca
calculation #	75
input	braid [1,1,1,1,1]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1]

program	khoca
calculation #	75
input	braid [1,1,1,1,1]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1]

program	khoca
calculation #	75
input	braid [1,1,1,1,1]

s_2(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,1]

s_3(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,1]

s_5(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,1]

s_2=4

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r0.x1.y0.y0.y0.x1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=5

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=5/1

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

05_2

metadata

ϑ_0=3

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2]

ϑ_2=4

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.y0.y0.x1.x1.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2]

ϑ_3=3

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.y0.y0.x1.x1.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2]

ϑ_5=3

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.y0.y0.x1.x1.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2]

ϑ_7=3

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.y0.y0.x1.x1.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2]

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2]

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2]

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2]

s_2(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,2,-1,2]

s_3(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,2,-1,2]

s_5(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,2,-1,2]

s_2=2

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.y0.y0.x1.x1.x1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=7

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=7/3

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

06_1

metadata

ϑ_0=0

program	khoca
calculation #	0
input	braid [1,1,2,-1,-3,2,-3]

ϑ_2=0

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.r2.x1.y2.y2.y1.y3.y2.x3.y2.u1.u0,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,-3,2,-3]

ϑ_3=0

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.r2.x1.y2.y2.y1.y3.y2.x3.y2.u1.u0,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,-3,2,-3]

ϑ_5=0

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.r2.x1.y2.y2.y1.y3.y2.x3.y2.u1.u0,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,-3,2,-3]

ϑ_7=0

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.r2.x1.y2.y2.y1.y3.y2.x3.y2.u1.u0,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,-3,2,-3]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [1,1,2,-1,-3,2,-3]

program	khoca
calculation #	75
input	braid [1,1,2,-1,-3,2,-3]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [1,1,2,-1,-3,2,-3]

program	khoca
calculation #	75
input	braid [1,1,2,-1,-3,2,-3]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [1,1,2,-1,-3,2,-3]

program	khoca
calculation #	75
input	braid [1,1,2,-1,-3,2,-3]

s_2(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,2,-1,-3,2,-3]

s_3(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,2,-1,-3,2,-3]

s_5(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,2,-1,-3,2,-3]

s_2=0

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.r2.x1.y2.y2.y1.y3.y2.x3.y2.u1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=9

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=9/7

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

06_2

metadata

ϑ_0=3

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,-2]

ϑ_2=4

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r0.x1.r2.x3.y2.y0.x1.u0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,-2]

ϑ_3=3

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r0.x1.r2.x3.y2.y0.x1.u0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,-2]

ϑ_5=3

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r0.x1.r2.x3.y2.y0.x1.u0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,-2]

ϑ_7=3

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r0.x1.r2.x3.y2.y0.x1.u0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,-2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,-2]

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,-2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,-2]

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,-2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,-2]

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,-2]

s_2(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,-2,1,-2]

s_3(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,-2,1,-2]

s_5(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,-2,1,-2]

s_2=2

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r0.x1.r2.x3.y2.y0.x1.u0.x1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=11

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=11/4

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

06_3

metadata

ϑ_0=0

program	khoca
calculation #	0
input	braid [1,1,-2,1,-2,-2]

ϑ_2=0

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.r2.x1.y0.y0.x1.y0.x3.u2.u1,1

program	khoca
calculation #	0
input	braid [1,1,-2,1,-2,-2]

ϑ_3=0

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.r2.x1.y0.y0.x1.y0.x3.u2.u1,1

program	khoca
calculation #	0
input	braid [1,1,-2,1,-2,-2]

ϑ_5=0

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.r2.x1.y0.y0.x1.y0.x3.u2.u1,1

program	khoca
calculation #	0
input	braid [1,1,-2,1,-2,-2]

ϑ_7=0

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.r2.x1.y0.y0.x1.y0.x3.u2.u1,1

program	khoca
calculation #	0
input	braid [1,1,-2,1,-2,-2]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,-2]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,-2]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,-2]

s_2(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,-2,1,-2,-2]

s_3(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,-2,1,-2,-2]

s_5(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,-2,1,-2,-2]

s_2=0

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.r2.x1.y0.y0.x1.y0.x3.u2.u1,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=13

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=13/5

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

07_1

metadata

ϑ_0=9

program	khoca
calculation #	0
input	braid [1,1,1,1,1,1,1]

ϑ_2=12

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r0.x1.y0.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,1,1]

ϑ_3=9

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r0.x1.y0.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,1,1]

ϑ_5=9

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r0.x1.y0.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,1,1]

ϑ_7=9

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r0.x1.y0.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,1,1]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,1]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,1]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,1]

s_2(2,1-cable)=12

program	khoca
calculation #	143
input	braid [1,1,1,1,1,1,1]

s_3(2,1-cable)=12

program	khoca
calculation #	143
input	braid [1,1,1,1,1,1,1]

s_5(2,1-cable)=12

program	khoca
calculation #	143
input	braid [1,1,1,1,1,1,1]

s_2=6

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r0.x1.y0.y0.y0.y0.y0.x1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=7

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=7/1

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

07_2

metadata

ϑ_0=3

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2,3,-2,3]

ϑ_2=4

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r0.x1.y0.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2,3,-2,3]

ϑ_3=3

program	kht++ v0.1-53-g46e86f4
options	-c3
input	r0.x1.y0.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2,3,-2,3]

ϑ_5=3

program	kht++ v0.1-53-g46e86f4
options	-c5
input	r0.x1.y0.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2,3,-2,3]

ϑ_7=3

program	kht++ v0.1-53-g46e86f4
options	-c7
input	r0.x1.y0.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2,3,-2,3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2,3,-2,3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2,3,-2,3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2,3,-2,3]

s_2(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,2,-1,2,3,-2,3]

s_3(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,2,-1,2,3,-2,3]

s_5(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,2,-1,2,3,-2,3]

s_2=2

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r0.x1.y0.y0.y0.y0.y0.x1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=11

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=11/5

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

07_3

metadata

ϑ_0=6

program	khoca
calculation #	0
input	braid [1,1,1,1,1,2,-1,2]

ϑ_2=8

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.y0.y0.y0.y0.x1.x1.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,2,-1,2]

ϑ_3=6

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.y0.y0.y0.y0.x1.x1.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,2,-1,2]

ϑ_5=6

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.y0.y0.y0.y0.x1.x1.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,2,-1,2]

ϑ_7=6

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.y0.y0.y0.y0.x1.x1.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,2,-1,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,-1,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,-1,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,-1,2]

s_2(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,1,2,-1,2]

s_3(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,1,2,-1,2]

s_5(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,1,2,-1,2]

s_2=4

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.y0.y0.y0.y0.x1.x1.x1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=13

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=13/9

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

07_4

metadata

ϑ_0=3

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,2,3,-2,3]

ϑ_2=4

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.y0.r3.x2.x2.x2.x1.y3.y3.u2.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,2,3,-2,3]

ϑ_3=3

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.y0.r3.x2.x2.x2.x1.y3.y3.u2.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,2,3,-2,3]

ϑ_5=3

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.y0.r3.x2.x2.x2.x1.y3.y3.u2.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,2,3,-2,3]

ϑ_7=3

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.y0.r3.x2.x2.x2.x1.y3.y3.u2.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,2,3,-2,3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,3,-2,3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,3,-2,3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,3,-2,3]

s_2(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,2,-1,2,2,3,-2,3]

s_3(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,2,-1,2,2,3,-2,3]

s_5(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,2,-1,2,2,3,-2,3]

s_2=2

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.y0.r3.x2.x2.x2.x1.y3.y3.u2.x1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=15

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=15/11

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

07_5

metadata

ϑ_0=6

program	khoca
calculation #	0
input	braid [1,1,1,1,2,-1,2,2]

ϑ_2=8

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.y0.y0.y0.y0.r2.y3.y3.y1.u2.y1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,2,-1,2,2]

ϑ_3=6

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.y0.y0.y0.y0.r2.y3.y3.y1.u2.y1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,2,-1,2,2]

ϑ_5=6

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.y0.y0.y0.y0.r2.y3.y3.y1.u2.y1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,2,-1,2,2]

ϑ_7=6

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.y0.y0.y0.y0.r2.y3.y3.y1.u2.y1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,2,-1,2,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,2,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,2,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,2,2]

s_2(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,2,-1,2,2]

s_3(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,2,-1,2,2]

s_5(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,2,-1,2,2]

s_2=4

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.y0.y0.y0.y0.r2.y3.y3.y1.u2.y1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=17

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=17/7

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

07_6

metadata

ϑ_0=3

program	khoca
calculation #	0
input	braid [1,1,-2,1,3,-2,3]

ϑ_2=4

program	khoca
calculation #	0
input	braid [1,1,-2,1,3,-2,3]

ϑ_3=3

program	khoca
calculation #	0
input	braid [1,1,-2,1,3,-2,3]

ϑ_5=3

program	khoca
calculation #	0
input	braid [1,1,-2,1,3,-2,3]

ϑ_7=3

program	khoca
calculation #	0
input	braid [1,1,-2,1,3,-2,3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,3,-2,3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,3,-2,3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,3,-2,3]

s_2(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,-2,1,3,-2,3]

s_3(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,-2,1,3,-2,3]

s_5(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,-2,1,3,-2,3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=19

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=19/7

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

07_7

metadata

ϑ_0=0

program	khoca
calculation #	0
input	braid [-1,2,-1,2,-3,2,-3]

ϑ_2=0

program	khoca
calculation #	0
input	braid [-1,2,-1,2,-3,2,-3]

ϑ_3=0

program	khoca
calculation #	0
input	braid [-1,2,-1,2,-3,2,-3]

ϑ_5=0

program	khoca
calculation #	0
input	braid [-1,2,-1,2,-3,2,-3]

ϑ_7=0

program	khoca
calculation #	0
input	braid [-1,2,-1,2,-3,2,-3]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [-1,2,-1,2,-3,2,-3]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [-1,2,-1,2,-3,2,-3]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [-1,2,-1,2,-3,2,-3]

s_2(2,1-cable)=0

program	khoca
calculation #	143
input	braid [-1,2,-1,2,-3,2,-3]

s_3(2,1-cable)=0

program	khoca
calculation #	143
input	braid [-1,2,-1,2,-3,2,-3]

s_5(2,1-cable)=0

program	khoca
calculation #	143
input	braid [-1,2,-1,2,-3,2,-3]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=21

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=21/8

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_01

metadata

ϑ_0=0

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

ϑ_2=0

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.r3.y2.y2.x1.x1.x3.x0.x1.u2.x0.x0.u1,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

ϑ_3=0

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.r3.y2.y2.x1.x1.x3.x0.x1.u2.x0.x0.u1,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

ϑ_5=0

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.r3.y2.y2.x1.x1.x3.x0.x1.u2.x0.x0.u1,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

ϑ_7=0

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.r3.y2.y2.x1.x1.x3.x0.x1.u2.x0.x0.u1,1

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

s_2(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

s_3(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

s_5(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,2,-1,2,3,-2,-4,3,-4]

s_2=0

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.r3.y2.y2.x1.x1.x3.x0.x1.u2.x0.x0.u1,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=13

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=13/11

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_02

metadata

ϑ_0=6

program	khoca
calculation #	0
input	braid [1,1,1,1,1,-2,1,-2]

ϑ_2=8

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	l0.x1.y0.x1.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,-2,1,-2]

ϑ_3=6

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	l0.x1.y0.x1.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,-2,1,-2]

ϑ_5=6

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	l0.x1.y0.x1.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,-2,1,-2]

ϑ_7=6

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	l0.x1.y0.x1.y0.y0.y0.y0.x1.u0,1

program	khoca
calculation #	0
input	braid [1,1,1,1,1,-2,1,-2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,-2,1,-2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,-2,1,-2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,-2,1,-2]

s_2(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,1,-2,1,-2]

s_3(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,1,-2,1,-2]

s_5(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,1,1,-2,1,-2]

s_2=4

program	kht++ v0.1-53-g46e86f4
options	-c2
input	l0.x1.y0.x1.y0.y0.y0.y0.x1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=17

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=17/6

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_03

metadata

ϑ_0=0

program	khoca
calculation #	69
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

program	khoca
calculation #	0
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_2=0

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	l0.x1.x1.x1.x1.y0.y0.y0.y0.u1,1

program	khoca
calculation #	69
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

program	khoca
calculation #	0
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_3=0

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	l0.x1.x1.x1.x1.y0.y0.y0.y0.u1,1

program	khoca
calculation #	69
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

program	khoca
calculation #	0
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_5=0

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	l0.x1.x1.x1.x1.y0.y0.y0.y0.u1,1

program	khoca
calculation #	69
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

program	khoca
calculation #	0
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_7=0

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	l0.x1.x1.x1.x1.y0.y0.y0.y0.u1,1

program	khoca
calculation #	69
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

program	khoca
calculation #	0
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [1,1,2,-1,-3,2,-3,-4,3,-4]

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

program	kht++ v0.1-53-g46e86f4
options	-c2
input	l0.x1.x1.x1.x1.y0.y0.y0.y0.u1,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=17

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=17/4

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_04

metadata

ϑ_0=-3

program	khoca
calculation #	0
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

ϑ_2=-4

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.x0.x0.x0.r2.y1.x2.x2.y3.u2.y1.u0,1

program	khoca
calculation #	0
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

ϑ_3=-3

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.x0.x0.x0.r2.y1.x2.x2.y3.u2.y1.u0,1

program	khoca
calculation #	0
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

ϑ_5=-3

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.x0.x0.x0.r2.y1.x2.x2.y3.u2.y1.u0,1

program	khoca
calculation #	0
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

ϑ_7=-3

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.x0.x0.x0.r2.y1.x2.x2.y3.u2.y1.u0,1

program	khoca
calculation #	0
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

s_2(2,1-cable)=-2

program	khoca
calculation #	143
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

s_3(2,1-cable)=-2

program	khoca
calculation #	143
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

s_5(2,1-cable)=-2

program	khoca
calculation #	143
input	braid [-1,-1,-1,2,-1,2,3,-2,3]

s_2=-2

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.x0.x0.x0.r2.y1.x2.x2.y3.u2.y1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=19

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=19/14

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_05

metadata

ϑ_0=6

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,1,1,-2]

ϑ_2=8

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,1,1,-2]

ϑ_3=6

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,1,1,-2]

ϑ_5=6

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,1,1,-2]

ϑ_7=6

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,1,1,-2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,1,1,-2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,1,1,-2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,1,1,-2]

s_2(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,-2,1,1,1,-2]

s_3(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,-2,1,1,1,-2]

s_5(2,1-cable)=8

program	khoca
calculation #	143
input	braid [1,1,1,-2,1,1,1,-2]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=21

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_06

metadata

ϑ_0=3

program	khoca
calculation #	0
input	braid [1,1,1,1,2,-1,-3,2,-3]

ϑ_2=4

program	khoca
calculation #	0
input	braid [1,1,1,1,2,-1,-3,2,-3]

ϑ_3=3

program	kht++ v0.1-54-g7493255
options	-c3-d
input	l0.y1.y1.y1.x0.x0.x0.y1.y1.u0,1
run time cobcomplex	1h44min45s
run time clean-up	57h42min10s

program	khoca
calculation #	0
input	braid [1,1,1,1,2,-1,-3,2,-3]

ϑ_5=3

program	khoca
calculation #	0
input	braid [1,1,1,1,2,-1,-3,2,-3]

ϑ_7=3

program	khoca
calculation #	0
input	braid [1,1,1,1,2,-1,-3,2,-3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,-3,2,-3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,-3,2,-3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,-3,2,-3]

s_2(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,1,2,-1,-3,2,-3]

s_3(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,1,2,-1,-3,2,-3]

s_5(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,1,2,-1,-3,2,-3]

s_2=2

program	kht++ v0.1-54-g7493255
options	-c2
input	l0.y1.y1.y1.x0.x0.x0.y1.y1.u0,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=23

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=23/10

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_07

metadata

ϑ_0=-3

program	khoca
calculation #	0
input	braid [-1,-1,-1,-1,2,-1,2,2]

ϑ_2=-4

program	khoca
calculation #	0
input	braid [-1,-1,-1,-1,2,-1,2,2]

ϑ_3=-3

program	khoca
calculation #	0
input	braid [-1,-1,-1,-1,2,-1,2,2]

ϑ_5=-3

program	khoca
calculation #	0
input	braid [-1,-1,-1,-1,2,-1,2,2]

ϑ_7=-3

program	khoca
calculation #	0
input	braid [-1,-1,-1,-1,2,-1,2,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-1,2,-1,2,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-1,2,-1,2,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-1,2,-1,2,2]

s_2(2,1-cable)=-2

program	khoca
calculation #	143
input	braid [-1,-1,-1,-1,2,-1,2,2]

s_3(2,1-cable)=-2

program	khoca
calculation #	143
input	braid [-1,-1,-1,-1,2,-1,2,2]

s_5(2,1-cable)=-2

program	khoca
calculation #	143
input	braid [-1,-1,-1,-1,2,-1,2,2]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=23

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=23/9

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_08

metadata

ϑ_0=0

program	khoca
calculation #	69
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

program	khoca
calculation #	0
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

ϑ_2=0

program	khoca
calculation #	69
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

program	khoca
calculation #	0
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

ϑ_3=0

program	khoca
calculation #	69
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

program	khoca
calculation #	0
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

ϑ_5=0

program	khoca
calculation #	69
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

program	khoca
calculation #	0
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

ϑ_7=0

program	khoca
calculation #	69
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

program	khoca
calculation #	0
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

program	khoca
calculation #	143
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

program	khoca
calculation #	143
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

program	khoca
calculation #	143
input	braid [-1,-1,-1,-2,1,3,-2,3,3]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=25

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=25/9

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_09

metadata

ϑ_0=0

program	khoca
calculation #	69
input	braid [1,1,1,-2,1,-2,-2,-2]

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,-2,-2,-2]

ϑ_2=0

program	khoca
calculation #	69
input	braid [1,1,1,-2,1,-2,-2,-2]

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,-2,-2,-2]

ϑ_3=0

program	khoca
calculation #	69
input	braid [1,1,1,-2,1,-2,-2,-2]

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,-2,-2,-2]

ϑ_5=0

program	khoca
calculation #	69
input	braid [1,1,1,-2,1,-2,-2,-2]

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,-2,-2,-2]

ϑ_7=0

program	khoca
calculation #	69
input	braid [1,1,1,-2,1,-2,-2,-2]

program	khoca
calculation #	0
input	braid [1,1,1,-2,1,-2,-2,-2]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,-2,-2,-2]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,-2,-2,-2]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [1,1,1,-2,1,-2,-2,-2]

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=25

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=25/7

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_10

metadata

ϑ_0=-3

program	khoca
calculation #	0
input	braid [-1,-1,-1,2,-1,-1,2,2]

ϑ_2=-4

program	khoca
calculation #	0
input	braid [-1,-1,-1,2,-1,-1,2,2]

ϑ_3=-3

program	khoca
calculation #	0
input	braid [-1,-1,-1,2,-1,-1,2,2]

ϑ_5=-3

program	khoca
calculation #	0
input	braid [-1,-1,-1,2,-1,-1,2,2]

ϑ_7=-3

program	khoca
calculation #	0
input	braid [-1,-1,-1,2,-1,-1,2,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,2,-1,-1,2,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,2,-1,-1,2,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,2,-1,-1,2,2]

s_2(2,1-cable)=-2

program	khoca
calculation #	143
input	braid [-1,-1,-1,2,-1,-1,2,2]

s_3(2,1-cable)=-2

program	khoca
calculation #	143
input	braid [-1,-1,-1,2,-1,-1,2,2]

s_5(2,1-cable)=-2

program	khoca
calculation #	143
input	braid [-1,-1,-1,2,-1,-1,2,2]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=27

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_11

metadata

ϑ_0=3

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,2,-3,2,-3]

ϑ_2=4

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,2,-3,2,-3]

ϑ_3=3

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,2,-3,2,-3]

ϑ_5=3

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,2,-3,2,-3]

ϑ_7=3

program	khoca
calculation #	0
input	braid [1,1,2,-1,2,2,-3,2,-3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,-3,2,-3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,-3,2,-3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,-3,2,-3]

s_2(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,2,-1,2,2,-3,2,-3]

s_3(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,2,-1,2,2,-3,2,-3]

s_5(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,2,-1,2,2,-3,2,-3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=27

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=27/10

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_12

metadata

ϑ_0=0

program	khoca
calculation #	69
input	braid [1,-2,1,3,-2,-4,3,-4]

program	khoca
calculation #	0
input	braid [1,-2,1,3,-2,-4,3,-4]

ϑ_2=0

program	khoca
calculation #	69
input	braid [1,-2,1,3,-2,-4,3,-4]

program	khoca
calculation #	0
input	braid [1,-2,1,3,-2,-4,3,-4]

ϑ_3=0

program	khoca
calculation #	69
input	braid [1,-2,1,3,-2,-4,3,-4]

program	khoca
calculation #	0
input	braid [1,-2,1,3,-2,-4,3,-4]

ϑ_5=0

program	khoca
calculation #	69
input	braid [1,-2,1,3,-2,-4,3,-4]

program	khoca
calculation #	0
input	braid [1,-2,1,3,-2,-4,3,-4]

ϑ_7=0

program	khoca
calculation #	69
input	braid [1,-2,1,3,-2,-4,3,-4]

program	khoca
calculation #	0
input	braid [1,-2,1,3,-2,-4,3,-4]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [1,-2,1,3,-2,-4,3,-4]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [1,-2,1,3,-2,-4,3,-4]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [1,-2,1,3,-2,-4,3,-4]

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=29

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=29/12

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_13

metadata

ϑ_0=0

program	khoca
calculation #	0
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

ϑ_2=0

program	khoca
calculation #	0
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

ϑ_3=0

program	khoca
calculation #	0
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

ϑ_5=0

program	khoca
calculation #	0
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

ϑ_7=0

program	khoca
calculation #	0
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

s_2(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

s_3(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

s_5(2,1-cable)=0

program	khoca
calculation #	143
input	braid [1,1,-2,1,-2,-2,-3,2,-3]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=29

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=29/11

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_14

metadata

ϑ_0=3

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2,-3,2,-3]

ϑ_2=4

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2,-3,2,-3]

ϑ_3=3

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2,-3,2,-3]

ϑ_5=3

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2,-3,2,-3]

ϑ_7=3

program	khoca
calculation #	0
input	braid [1,1,1,2,-1,2,-3,2,-3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2,-3,2,-3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2,-3,2,-3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2,-3,2,-3]

s_2(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,2,-1,2,-3,2,-3]

s_3(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,2,-1,2,-3,2,-3]

s_5(2,1-cable)=4

program	khoca
calculation #	143
input	braid [1,1,1,2,-1,2,-3,2,-3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=31

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=31/12

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_15

metadata

ϑ_0=6

program	khoca
calculation #	119
input	braid [1,1,-2,1,3,2,2,2,3]

ϑ_2=8

program	khoca
calculation #	119
input	braid [1,1,-2,1,3,2,2,2,3]

ϑ_3=6

program	khoca
calculation #	119
input	braid [1,1,-2,1,3,2,2,2,3]

ϑ_5=6

program	khoca
calculation #	119
input	braid [1,1,-2,1,3,2,2,2,3]

ϑ_7=6

program	khoca
calculation #	119
input	braid [1,1,-2,1,3,2,2,2,3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,3,2,2,2,3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,3,2,2,2,3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,3,2,2,2,3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=33

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_16

metadata

ϑ_0=-3

program	khoca
calculation #	400
input	braid [-1,-1,2,-1,-1,2,-1,2]

ϑ_2=-4

program	khoca
calculation #	400
input	braid [-1,-1,2,-1,-1,2,-1,2]

ϑ_3=-3

program	khoca
calculation #	400
input	braid [-1,-1,2,-1,-1,2,-1,2]

ϑ_5=-3

program	khoca
calculation #	400
input	braid [-1,-1,2,-1,-1,2,-1,2]

ϑ_7=-3

program	khoca
calculation #	400
input	braid [-1,-1,2,-1,-1,2,-1,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,2,-1,-1,2,-1,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,2,-1,-1,2,-1,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,2,-1,-1,2,-1,2]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=35

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_17

metadata

ϑ_0=0

program	khoca
calculation #	309
input	braid [1,1,-2,1,-2,1,-2,-2]

ϑ_2=0

program	khoca
calculation #	309
input	braid [1,1,-2,1,-2,1,-2,-2]

ϑ_3=0

program	khoca
calculation #	309
input	braid [1,1,-2,1,-2,1,-2,-2]

ϑ_5=0

program	khoca
calculation #	309
input	braid [1,1,-2,1,-2,1,-2,-2]

ϑ_7=0

program	khoca
calculation #	309
input	braid [1,1,-2,1,-2,1,-2,-2]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,1,-2,-2]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,1,-2,-2]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,1,-2,-2]

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=37

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_18

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

program	khoca
calculation #	73
input	braid [1,-2,1,-2,1,-2,1,-2]

ϑ_3=0

program	khoca
calculation #	69
input	braid [1,-2,1,-2,1,-2,1,-2]

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=45

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_19

comments

theta_c = theta_0 for all c≠3 between 2 and 97, as computed with khoca, calculation #118

metadata

pretzel=3,3,-2

author

Lukas Lewark

torus=3,4

author

Lukas Lewark

ϑ_0=8

program	khoca
calculation #	63
input	morse r1.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1,1

ϑ_2=8

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.y0.r3.x2.y0.y0.y1.u2.y0.y0.y0.u1,1

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1,1

ϑ_3=9

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.y0.r3.x2.y0.y0.y1.u2.y0.y0.y0.u1,1

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1,1

ϑ_5=8

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.y0.r3.x2.y0.y0.y1.u2.y0.y0.y0.u1,1

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1,1

ϑ_7=8

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.y0.r3.x2.y0.y0.y1.u2.y0.y0.y0.u1,1

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1,1

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,1,1,1,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,1,1,1,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,1,1,1,2]

s_2(2,1-cable)=12

program	khoca
calculation #	144
input	braid [1,2,1,2,1,2,1,2]

s_3(2,1-cable)=12

program	khoca
calculation #	144
input	braid [1,2,1,2,1,2,1,2]

s_2=6

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.y0.r3.x2.y0.y0.y1.u2.y0.y0.y0.u1,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=3

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_20

metadata

ϑ_0=0

program	khoca
calculation #	71
input	braid [1,1,1,-2,-1,-1,-1,-2]

ϑ_2=0

program	khoca
calculation #	71
input	braid [1,1,1,-2,-1,-1,-1,-2]

ϑ_3=0

program	khoca
calculation #	71
input	braid [1,1,1,-2,-1,-1,-1,-2]

ϑ_5=0

program	khoca
calculation #	71
input	braid [1,1,1,-2,-1,-1,-1,-2]

ϑ_7=0

program	khoca
calculation #	71
input	braid [1,1,1,-2,-1,-1,-1,-2]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [1,1,1,-2,-1,-1,-1,-2]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [1,1,1,-2,-1,-1,-1,-2]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [1,1,1,-2,-1,-1,-1,-2]

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=9

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

08_21

metadata

ϑ_0=3

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,-1,2,2]

ϑ_2=4

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,-1,2,2]

ϑ_3=3

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,-1,2,2]

ϑ_5=3

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,-1,2,2]

ϑ_7=3

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,-1,2,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,-1,2,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,-1,2,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,-1,2,2]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=15

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_01

metadata

ϑ_0=12

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,1,1,1]

ϑ_2=16

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,1,1,1]

ϑ_3=12

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,1,1,1]

ϑ_5=12

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,1,1,1]

ϑ_7=12

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,1,1,1]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,1,1,1]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,1,1,1]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,1,1,1]

s_2=8

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-8

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=4

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=9

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=9/1

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=4

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_02

metadata

ϑ_0=3

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,2,3,-2,3,4,-3,4]

ϑ_2=4

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,2,3,-2,3,4,-3,4]

ϑ_3=3

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,2,3,-2,3,4,-3,4]

ϑ_5=3

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,2,3,-2,3,4,-3,4]

ϑ_7=3

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,2,3,-2,3,4,-3,4]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2,3,-2,3,4,-3,4]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2,3,-2,3,4,-3,4]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,2,-1,2,3,-2,3,4,-3,4]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=15

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=15/7

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_03

metadata

ϑ_0=9

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,1,2,-1,2]

ϑ_2=12

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,1,2,-1,2]

ϑ_3=9

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,1,2,-1,2]

ϑ_5=9

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,1,2,-1,2]

ϑ_7=9

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,1,2,-1,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,1,2,-1,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,1,2,-1,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,1,2,-1,2]

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=19

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=19/13

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_04

metadata

ϑ_0=6

program	khoca
calculation #	400
input	braid [1,1,1,1,1,2,-1,2,3,-2,3]

ϑ_2=8

program	khoca
calculation #	400
input	braid [1,1,1,1,1,2,-1,2,3,-2,3]

ϑ_3=6

program	khoca
calculation #	400
input	braid [1,1,1,1,1,2,-1,2,3,-2,3]

ϑ_5=6

program	khoca
calculation #	400
input	braid [1,1,1,1,1,2,-1,2,3,-2,3]

ϑ_7=6

program	khoca
calculation #	400
input	braid [1,1,1,1,1,2,-1,2,3,-2,3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,-1,2,3,-2,3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,-1,2,3,-2,3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,-1,2,3,-2,3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=21

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=21/5

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_05

metadata

ϑ_0=3

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,2,3,-2,3,4,-3,4]

ϑ_2=4

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,2,3,-2,3,4,-3,4]

ϑ_3=3

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,2,3,-2,3,4,-3,4]

ϑ_5=3

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,2,3,-2,3,4,-3,4]

ϑ_7=3

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,2,3,-2,3,4,-3,4]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,3,-2,3,4,-3,4]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,3,-2,3,4,-3,4]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,3,-2,3,4,-3,4]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=23

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=23/17

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_06

metadata

ϑ_0=9

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,2,-1,2,2]

ϑ_2=12

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,2,-1,2,2]

ϑ_3=9

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,2,-1,2,2]

ϑ_5=9

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,2,-1,2,2]

ϑ_7=9

program	khoca
calculation #	400
input	braid [1,1,1,1,1,1,2,-1,2,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,2,-1,2,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,2,-1,2,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,1,2,-1,2,2]

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=27

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=27/5

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_07

metadata

ϑ_0=6

program	khoca
calculation #	400
input	braid [1,1,1,1,2,-1,2,3,-2,3,3]

ϑ_2=8

program	khoca
calculation #	400
input	braid [1,1,1,1,2,-1,2,3,-2,3,3]

ϑ_3=6

program	khoca
calculation #	400
input	braid [1,1,1,1,2,-1,2,3,-2,3,3]

ϑ_5=6

program	khoca
calculation #	120
input	braid [1,1,1,1,2,-1,2,3,-2,3,3]

program	khoca
calculation #	400
input	braid [1,1,1,1,2,-1,2,3,-2,3,3]

ϑ_7=6

program	khoca
calculation #	120
input	braid [1,1,1,1,2,-1,2,3,-2,3,3]

program	khoca
calculation #	400
input	braid [1,1,1,1,2,-1,2,3,-2,3,3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,2,3,-2,3,3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,2,3,-2,3,3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,2,3,-2,3,3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=29

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=29/13

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_08

metadata

ϑ_0=3

program	khoca
calculation #	120
input	braid [1,1,-2,1,-2,-3,2,4,-3,4]

ϑ_2=4

program	khoca
calculation #	120
input	braid [1,1,-2,1,-2,-3,2,4,-3,4]

ϑ_3=3

program	khoca
calculation #	120
input	braid [1,1,-2,1,-2,-3,2,4,-3,4]

ϑ_5=3

program	khoca
calculation #	120
input	braid [1,1,-2,1,-2,-3,2,4,-3,4]

ϑ_7=3

program	khoca
calculation #	120
input	braid [1,1,-2,1,-2,-3,2,4,-3,4]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,-3,2,4,-3,4]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,-3,2,4,-3,4]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,-2,-3,2,4,-3,4]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=31

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=31/11

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_09

metadata

ϑ_0=9

program	khoca
calculation #	120
input	braid [1,1,1,1,1,2,-1,2,2,2]

program	khoca
calculation #	400
input	braid [1,1,1,1,1,2,-1,2,2,2]

ϑ_2=12

program	khoca
calculation #	120
input	braid [1,1,1,1,1,2,-1,2,2,2]

program	khoca
calculation #	400
input	braid [1,1,1,1,1,2,-1,2,2,2]

ϑ_3=9

program	khoca
calculation #	120
input	braid [1,1,1,1,1,2,-1,2,2,2]

program	khoca
calculation #	400
input	braid [1,1,1,1,1,2,-1,2,2,2]

ϑ_5=9

program	khoca
calculation #	120
input	braid [1,1,1,1,1,2,-1,2,2,2]

program	khoca
calculation #	400
input	braid [1,1,1,1,1,2,-1,2,2,2]

ϑ_7=9

program	khoca
calculation #	400
input	braid [1,1,1,1,1,2,-1,2,2,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,-1,2,2,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,-1,2,2,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,-1,2,2,2]

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=31

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=31/9

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_10

metadata

ϑ_0=6

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,2,2,2,3,-2,3]

ϑ_2=8

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,2,2,2,3,-2,3]

ϑ_3=6

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,2,2,2,3,-2,3]

ϑ_5=6

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,2,2,2,3,-2,3]

ϑ_7=6

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,2,2,2,3,-2,3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,2,2,3,-2,3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,2,2,3,-2,3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,2,-1,2,2,2,2,3,-2,3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=33

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=33/23

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_11

metadata

ϑ_0=-6

program	khoca
calculation #	400
input	braid [-1,-1,-1,-1,2,-1,-3,2,-3]

ϑ_2=-8

program	khoca
calculation #	400
input	braid [-1,-1,-1,-1,2,-1,-3,2,-3]

ϑ_3=-6

program	khoca
calculation #	400
input	braid [-1,-1,-1,-1,2,-1,-3,2,-3]

ϑ_5=-6

program	khoca
calculation #	400
input	braid [-1,-1,-1,-1,2,-1,-3,2,-3]

ϑ_7=-6

program	khoca
calculation #	400
input	braid [-1,-1,-1,-1,2,-1,-3,2,-3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-1,2,-1,-3,2,-3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-1,2,-1,-3,2,-3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-1,2,-1,-3,2,-3]

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=33

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=33/14

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_12

metadata

ϑ_0=3

program	khoca
calculation #	400
input	braid [1,1,-2,1,3,-2,3,4,-3,4]

ϑ_2=4

program	khoca
calculation #	400
input	braid [1,1,-2,1,3,-2,3,4,-3,4]

ϑ_3=3

program	khoca
calculation #	400
input	braid [1,1,-2,1,3,-2,3,4,-3,4]

ϑ_5=3

program	khoca
calculation #	400
input	braid [1,1,-2,1,3,-2,3,4,-3,4]

ϑ_7=3

program	khoca
calculation #	400
input	braid [1,1,-2,1,3,-2,3,4,-3,4]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,3,-2,3,4,-3,4]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,3,-2,3,4,-3,4]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,-2,1,3,-2,3,4,-3,4]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=35

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=35/13

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_13

metadata

ϑ_0=6

program	khoca
calculation #	400
input	braid [1,1,1,1,2,-1,2,2,3,-2,3]

ϑ_2=8

program	khoca
calculation #	400
input	braid [1,1,1,1,2,-1,2,2,3,-2,3]

ϑ_3=6

program	khoca
calculation #	400
input	braid [1,1,1,1,2,-1,2,2,3,-2,3]

ϑ_5=6

program	khoca
calculation #	400
input	braid [1,1,1,1,2,-1,2,2,3,-2,3]

ϑ_7=6

program	khoca
calculation #	400
input	braid [1,1,1,1,2,-1,2,2,3,-2,3]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,2,2,3,-2,3]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,2,2,3,-2,3]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,2,-1,2,2,3,-2,3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=37

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=37/27

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_14

metadata

ϑ_0=0

program	khoca
calculation #	301
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

ϑ_2=0

program	khoca
calculation #	20
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

program	khoca
calculation #	301
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

ϑ_3=0

program	khoca
calculation #	20
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

program	khoca
calculation #	301
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

ϑ_5=0

program	khoca
calculation #	20
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

program	khoca
calculation #	301
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

ϑ_7=0

program	khoca
calculation #	129
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

ϑ_2-rat=1

program	khoca
calculation #	75
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

ϑ_3-rat=1

program	khoca
calculation #	75
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

ϑ_5-rat=1

program	khoca
calculation #	75
input	braid [-1,-1,-2,1,3,-2,3,-4,3,-4]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=37

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=37/14

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_15

metadata

ϑ_0=-3

program	khoca
calculation #	301
input	braid [-1,-1,-1,-2,1,3,-2,-4,3,-4]

ϑ_2=-4

program	khoca
calculation #	301
input	braid [-1,-1,-1,-2,1,3,-2,-4,3,-4]

ϑ_3=-3

program	khoca
calculation #	301
input	braid [-1,-1,-1,-2,1,3,-2,-4,3,-4]

ϑ_5=-3

program	khoca
calculation #	301
input	braid [-1,-1,-1,-2,1,3,-2,-4,3,-4]

ϑ_7=-3

program	khoca
calculation #	301
input	braid [-1,-1,-1,-2,1,3,-2,-4,3,-4]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-2,1,3,-2,-4,3,-4]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-2,1,3,-2,-4,3,-4]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-2,1,3,-2,-4,3,-4]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=39

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=39/16

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_16

metadata

ϑ_0=9

program	khoca
calculation #	301
input	braid [1,1,1,1,2,2,-1,2,2,2]

ϑ_2=12

program	khoca
calculation #	301
input	braid [1,1,1,1,2,2,-1,2,2,2]

ϑ_3=9

program	khoca
calculation #	301
input	braid [1,1,1,1,2,2,-1,2,2,2]

ϑ_5=9

program	khoca
calculation #	301
input	braid [1,1,1,1,2,2,-1,2,2,2]

ϑ_7=9

program	khoca
calculation #	301
input	braid [1,1,1,1,2,2,-1,2,2,2]

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=39

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_17

metadata

ϑ_0=3

program	khoca
calculation #	301
input	braid [-1,2,-1,2,2,2,-3,2,-3]

ϑ_2=4

program	khoca
calculation #	301
input	braid [-1,2,-1,2,2,2,-3,2,-3]

ϑ_3=3

program	khoca
calculation #	301
input	braid [-1,2,-1,2,2,2,-3,2,-3]

ϑ_5=3

program	khoca
calculation #	301
input	braid [-1,2,-1,2,2,2,-3,2,-3]

ϑ_7=3

program	khoca
calculation #	301
input	braid [-1,2,-1,2,2,2,-3,2,-3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=39

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=39/14

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_18

metadata

ϑ_0=6

program	khoca
calculation #	301
input	braid [1,1,1,2,-1,2,2,2,3,-2,3]

ϑ_2=8

program	khoca
calculation #	301
input	braid [1,1,1,2,-1,2,2,2,3,-2,3]

ϑ_3=6

program	khoca
calculation #	301
input	braid [1,1,1,2,-1,2,2,2,3,-2,3]

ϑ_5=6

program	khoca
calculation #	301
input	braid [1,1,1,2,-1,2,2,2,3,-2,3]

ϑ_7=6

program	khoca
calculation #	301
input	braid [1,1,1,2,-1,2,2,2,3,-2,3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=41

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=41/17

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_19

metadata

ϑ_0=0

program	khoca
calculation #	301
input	braid [-1,2,-1,2,2,3,-2,-4,3,-4]

ϑ_2=0

program	khoca
calculation #	301
input	braid [-1,2,-1,2,2,3,-2,-4,3,-4]

ϑ_3=0

program	khoca
calculation #	301
input	braid [-1,2,-1,2,2,3,-2,-4,3,-4]

ϑ_5=0

program	khoca
calculation #	301
input	braid [-1,2,-1,2,2,3,-2,-4,3,-4]

ϑ_7=0

program	khoca
calculation #	301
input	braid [-1,2,-1,2,2,3,-2,-4,3,-4]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=41

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=41/16

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_20

metadata

ϑ_0=6

program	khoca
calculation #	301
input	braid [1,1,1,-2,1,3,-2,3,3]

ϑ_2=8

program	khoca
calculation #	301
input	braid [1,1,1,-2,1,3,-2,3,3]

ϑ_3=6

program	khoca
calculation #	301
input	braid [1,1,1,-2,1,3,-2,3,3]

ϑ_5=6

program	khoca
calculation #	301
input	braid [1,1,1,-2,1,3,-2,3,3]

ϑ_7=6

program	khoca
calculation #	301
input	braid [1,1,1,-2,1,3,-2,3,3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=41

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=41/15

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_21

metadata

ϑ_0=-3

program	khoca
calculation #	301
input	braid [-1,-1,-2,1,-2,3,-2,-4,3,-4]

ϑ_2=-4

program	khoca
calculation #	20
input	braid [-1,-1,-2,1,-2,3,-2,-4,3,-4]

program	khoca
calculation #	301
input	braid [-1,-1,-2,1,-2,3,-2,-4,3,-4]

ϑ_3=-3

program	khoca
calculation #	20
input	braid [-1,-1,-2,1,-2,3,-2,-4,3,-4]

program	khoca
calculation #	301
input	braid [-1,-1,-2,1,-2,3,-2,-4,3,-4]

ϑ_5=-3

program	khoca
calculation #	20
input	braid [-1,-1,-2,1,-2,3,-2,-4,3,-4]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=43

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=43/18

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_22

metadata

ϑ_0=3

program	khoca
calculation #	301
input	braid [-1,2,-1,2,-3,2,2,2,-3]

ϑ_2=4

program	khoca
calculation #	20
input	braid [-1,2,-1,2,-3,2,2,2,-3]

program	khoca
calculation #	301
input	braid [-1,2,-1,2,-3,2,2,2,-3]

ϑ_3=3

program	khoca
calculation #	20
input	braid [-1,2,-1,2,-3,2,2,2,-3]

program	khoca
calculation #	301
input	braid [-1,2,-1,2,-3,2,2,2,-3]

ϑ_5=3

program	khoca
calculation #	20
input	braid [-1,2,-1,2,-3,2,2,2,-3]

program	khoca
calculation #	301
input	braid [-1,2,-1,2,-3,2,2,2,-3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=43

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_23

metadata

ϑ_2=8

program	khoca
calculation #	301
input	braid [1,1,1,2,-1,2,2,3,-2,3,3]

ϑ_3=6

program	khoca
calculation #	301
input	braid [1,1,1,2,-1,2,2,3,-2,3,3]

ϑ_5=6

program	khoca
calculation #	301
input	braid [1,1,1,2,-1,2,2,3,-2,3,3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=45

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=45/19

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_24

metadata

ϑ_2=0

program	khoca
calculation #	301
input	braid [1,1,-2,1,3,-2,-2,-2,3]

ϑ_3=0

program	khoca
calculation #	301
input	braid [1,1,-2,1,3,-2,-2,-2,3]

ϑ_5=0

program	khoca
calculation #	301
input	braid [1,1,-2,1,3,-2,-2,-2,3]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=45

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_25

metadata

ϑ_2=4

program	khoca
calculation #	301
input	braid [1,1,-2,1,3,2,2,-4,3,-4]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=47

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_26

metadata

ϑ_0=-3

program	khoca
calculation #	302
input	braid [-1,-1,-1,2,-1,2,-3,2,-3]

ϑ_2=-4

program	khoca
calculation #	302
input	braid [-1,-1,-1,2,-1,2,-3,2,-3]

ϑ_3=-3

program	khoca
calculation #	302
input	braid [-1,-1,-1,2,-1,2,-3,2,-3]

ϑ_5=-3

program	khoca
calculation #	302
input	braid [-1,-1,-1,2,-1,2,-3,2,-3]

ϑ_7=-3

program	khoca
calculation #	302
input	braid [-1,-1,-1,2,-1,2,-3,2,-3]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=47

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=47/18

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_27

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=49

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=49/19

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_28

metadata

ϑ_2=4

program	khoca
calculation #	302
input	braid [1,1,-2,1,3,-2,-2,3,3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=51

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_29

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=51

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_30

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=53

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_31

metadata

ϑ_2=4

program	khoca
calculation #	135
input	braid [1,1,-2,1,-2,3,-2,3,3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=55

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=55/21

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_32

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=59

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_33

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=61

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_34

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=69

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_35

metadata

ϑ_0=3

program	khoca
calculation #	302
input	braid [1,1,2,-1,2,2,3,-2,-2,4,-3,2,4,3]

ϑ_2=4

program	khoca
calculation #	302
input	braid [1,1,2,-1,2,2,3,-2,-2,4,-3,2,4,3]

ϑ_3=3

program	khoca
calculation #	302
input	braid [1,1,2,-1,2,2,3,-2,-2,4,-3,2,4,3]

ϑ_5=3

program	khoca
calculation #	302
input	braid [1,1,2,-1,2,2,3,-2,-2,4,-3,2,4,3]

ϑ_7=3

program	khoca
calculation #	302
input	braid [1,1,2,-1,2,2,3,-2,-2,4,-3,2,4,3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=27

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_36

metadata

ϑ_0=-6

program	khoca
calculation #	302
input	braid [-1,-1,-1,2,-1,-1,-3,2,-3]

ϑ_2=-8

program	khoca
calculation #	302
input	braid [-1,-1,-1,2,-1,-1,-3,2,-3]

ϑ_3=-6

program	khoca
calculation #	302
input	braid [-1,-1,-1,2,-1,-1,-3,2,-3]

ϑ_5=-6

program	khoca
calculation #	302
input	braid [-1,-1,-1,2,-1,-1,-3,2,-3]

ϑ_7=-6

program	khoca
calculation #	302
input	braid [-1,-1,-1,2,-1,-1,-3,2,-3]

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=37

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_37

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=45

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_38

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=57

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_39

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=55

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_40

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=75

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_41

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=49

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_42

metadata

ϑ_0=0

program	khoca
calculation #	400
input	braid [-1,-1,-1,2,1,1,-3,2,-3]

ϑ_2=0

program	khoca
calculation #	400
input	braid [-1,-1,-1,2,1,1,-3,2,-3]

ϑ_3=0

program	khoca
calculation #	400
input	braid [-1,-1,-1,2,1,1,-3,2,-3]

ϑ_5=0

program	khoca
calculation #	400
input	braid [-1,-1,-1,2,1,1,-3,2,-3]

ϑ_7=0

program	khoca
calculation #	121
input	braid [-1,-1,-1,2,1,1,-3,2,-3]

program	khoca
calculation #	400
input	braid [-1,-1,-1,2,1,1,-3,2,-3]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=7

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_43

metadata

ϑ_0=6

program	khoca
calculation #	121
input	braid [1,1,1,2,1,1,-3,2,-3]

ϑ_2=8

program	khoca
calculation #	121
input	braid [1,1,1,2,1,1,-3,2,-3]

ϑ_3=6

program	khoca
calculation #	121
input	braid [1,1,1,2,1,1,-3,2,-3]

ϑ_5=6

program	khoca
calculation #	121
input	braid [1,1,1,2,1,1,-3,2,-3]

ϑ_7=6

program	khoca
calculation #	121
input	braid [1,1,1,2,1,1,-3,2,-3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=13

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_44

metadata

ϑ_0=0

program	khoca
calculation #	121
input	braid [1,1,1,2,-1,-1,-3,2,-3]

ϑ_2=0

program	khoca
calculation #	121
input	braid [1,1,1,2,-1,-1,-3,2,-3]

ϑ_3=0

program	khoca
calculation #	121
input	braid [1,1,1,2,-1,-1,-3,2,-3]

ϑ_5=0

program	khoca
calculation #	121
input	braid [1,1,1,2,-1,-1,-3,2,-3]

ϑ_7=0

program	khoca
calculation #	121
input	braid [1,1,1,2,-1,-1,-3,2,-3]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=17

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_45

metadata

ϑ_0=-3

program	khoca
calculation #	121
input	braid [-1,-1,-2,1,-2,-1,-3,2,-3]

program	khoca
calculation #	400
input	braid [-1,-1,-2,1,-2,-1,-3,2,-3]

ϑ_2=-4

program	khoca
calculation #	121
input	braid [-1,-1,-2,1,-2,-1,-3,2,-3]

program	khoca
calculation #	400
input	braid [-1,-1,-2,1,-2,-1,-3,2,-3]

ϑ_3=-3

program	khoca
calculation #	121
input	braid [-1,-1,-2,1,-2,-1,-3,2,-3]

program	khoca
calculation #	400
input	braid [-1,-1,-2,1,-2,-1,-3,2,-3]

ϑ_5=-3

program	khoca
calculation #	121
input	braid [-1,-1,-2,1,-2,-1,-3,2,-3]

program	khoca
calculation #	400
input	braid [-1,-1,-2,1,-2,-1,-3,2,-3]

ϑ_7=-3

program	khoca
calculation #	400
input	braid [-1,-1,-2,1,-2,-1,-3,2,-3]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=23

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_46

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=9

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_47

metadata

ϑ_0=3

program	khoca
calculation #	400
input	braid [-1,2,-1,2,3,2,-1,2,3]

ϑ_2=4

program	khoca
calculation #	400
input	braid [-1,2,-1,2,3,2,-1,2,3]

ϑ_3=3

program	khoca
calculation #	400
input	braid [-1,2,-1,2,3,2,-1,2,3]

ϑ_5=3

program	khoca
calculation #	400
input	braid [-1,2,-1,2,3,2,-1,2,3]

ϑ_7=3

program	khoca
calculation #	400
input	braid [-1,2,-1,2,3,2,-1,2,3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=27

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_48

metadata

ϑ_3=-3

program	khoca
calculation #	137
input	braid [-1,-1,-2,1,-2,-1,3,-2,1,-2,3]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=27

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

09_49

metadata

ϑ_2=8

program	khoca
calculation #	22
input	braid [1,1,2,1,1,-3,2,-1,2,3,3]

ϑ_3=6

program	khoca
calculation #	22
input	braid [1,1,2,1,1,-3,2,-1,2,3,3]

ϑ_5=6

program	khoca
calculation #	22
input	braid [1,1,2,1,1,-3,2,-1,2,3,3]

ϑ_7=6

program	khoca
calculation #	137
input	braid [1,1,2,1,1,-3,2,-1,2,3,3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=25

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_001

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=17

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=17/15

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_002

metadata

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=23

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=23/8

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_003

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=25

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=25/6

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=1

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_004

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=27

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=27/20

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_005

metadata

ϑ_0=-6

program	khoca
calculation #	303
input	braid [-1,-1,-1,-1,-1,-1,2,-1,2,2]

ϑ_2=-8

program	khoca
calculation #	303
input	braid [-1,-1,-1,-1,-1,-1,2,-1,2,2]

ϑ_3=-6

program	khoca
calculation #	303
input	braid [-1,-1,-1,-1,-1,-1,2,-1,2,2]

ϑ_5=-6

program	khoca
calculation #	303
input	braid [-1,-1,-1,-1,-1,-1,2,-1,2,2]

ϑ_7=-6

program	khoca
calculation #	303
input	braid [-1,-1,-1,-1,-1,-1,2,-1,2,2]

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=33

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=33/13

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_006

metadata

ϑ_0=6

program	khoca
calculation #	303
input	braid [1,1,1,1,1,1,2,-1,-3,2,-3]

ϑ_2=8

program	khoca
calculation #	303
input	braid [1,1,1,1,1,1,2,-1,-3,2,-3]

ϑ_3=6

program	khoca
calculation #	303
input	braid [1,1,1,1,1,1,2,-1,-3,2,-3]

ϑ_5=6

program	khoca
calculation #	303
input	braid [1,1,1,1,1,1,2,-1,-3,2,-3]

ϑ_7=6

program	khoca
calculation #	303
input	braid [1,1,1,1,1,1,2,-1,-3,2,-3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=37

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=37/16

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_007

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=43

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=43/16

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_008

metadata

ϑ_0=6

program	khoca
calculation #	303
input	braid [1,1,1,1,1,-2,1,-2,-3,2,-3]

ϑ_2=8

program	khoca
calculation #	303
input	braid [1,1,1,1,1,-2,1,-2,-3,2,-3]

ϑ_3=6

program	khoca
calculation #	303
input	braid [1,1,1,1,1,-2,1,-2,-3,2,-3]

ϑ_5=6

program	khoca
calculation #	303
input	braid [1,1,1,1,1,-2,1,-2,-3,2,-3]

ϑ_7=6

program	khoca
calculation #	303
input	braid [1,1,1,1,1,-2,1,-2,-3,2,-3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=29

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=29/6

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_009

metadata

ϑ_0=3

program	khoca
calculation #	303
input	braid [1,1,1,1,1,-2,1,-2,-2,-2]

ϑ_2=4

program	khoca
calculation #	303
input	braid [1,1,1,1,1,-2,1,-2,-2,-2]

ϑ_3=3

program	khoca
calculation #	303
input	braid [1,1,1,1,1,-2,1,-2,-2,-2]

ϑ_5=3

program	khoca
calculation #	303
input	braid [1,1,1,1,1,-2,1,-2,-2,-2]

ϑ_7=3

program	khoca
calculation #	303
input	braid [1,1,1,1,1,-2,1,-2,-2,-2]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=39

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=39/28

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_010

metadata

ϑ_0=0

program	khoca
calculation #	303
input	braid [1,1,-2,1,-2,-2,-3,2,-3,-4,3,-4]

ϑ_2=0

program	khoca
calculation #	303
input	braid [1,1,-2,1,-2,-2,-3,2,-3,-4,3,-4]

ϑ_3=0

program	khoca
calculation #	303
input	braid [1,1,-2,1,-2,-2,-3,2,-3,-4,3,-4]

ϑ_5=0

program	khoca
calculation #	303
input	braid [1,1,-2,1,-2,-2,-3,2,-3,-4,3,-4]

ϑ_7=0

program	khoca
calculation #	303
input	braid [1,1,-2,1,-2,-2,-3,2,-3,-4,3,-4]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=45

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=45/17

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_011

metadata

ϑ_0=3

program	khoca
calculation #	303
input	braid [1,1,1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_2=4

program	khoca
calculation #	303
input	braid [1,1,1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_3=3

program	khoca
calculation #	303
input	braid [1,1,1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_5=3

program	khoca
calculation #	303
input	braid [1,1,1,1,2,-1,-3,2,-3,-4,3,-4]

ϑ_7=3

program	khoca
calculation #	303
input	braid [1,1,1,1,2,-1,-3,2,-3,-4,3,-4]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=43

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=43/13

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_012

metadata

ϑ_0=-3

program	khoca
calculation #	303
input	braid [-1,-1,-1,-1,-1,-2,1,3,-2,3,3]

ϑ_2=-4

program	khoca
calculation #	303
input	braid [-1,-1,-1,-1,-1,-2,1,3,-2,3,3]

ϑ_3=-3

program	khoca
calculation #	303
input	braid [-1,-1,-1,-1,-1,-2,1,3,-2,3,3]

ϑ_5=-3

program	khoca
calculation #	303
input	braid [-1,-1,-1,-1,-1,-2,1,3,-2,3,3]

ϑ_7=-3

program	khoca
calculation #	303
input	braid [-1,-1,-1,-1,-1,-2,1,3,-2,3,3]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=47

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=47/17

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_013

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=53

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=53/22

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_014

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=57

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=57/22

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_015

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=43

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=43/19

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_016

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=47

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=47/33

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_017

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=41

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=41/9

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_018

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=55

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=55/23

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_019

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=51

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=51/14

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_020

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=35

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=35/16

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_021

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=45

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=45/16

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_022

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=49

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=49/36

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_023

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=59

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=59/23

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_024

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=55

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=55/24

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_025

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=65

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=65/24

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_026

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=61

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=61/44

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_027

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=71

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=71/27

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_028

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=53

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=53/19

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_029

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=63

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=63/26

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_030

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=67

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=67/26

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_031

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=57

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=57/25

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_032

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=69

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=69/29

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_033

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=65

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=65/18

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_034

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=37

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=37/13

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_035

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=49

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=49/20

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_036

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=51

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=51/20

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_037

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=53

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=53/23

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_038

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=59

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=59/25

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_039

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=61

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=61/22

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_040

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=75

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=75/29

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_041

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=71

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=71/26

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_042

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=81

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=81/31

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_043

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=73

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=73/27

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_044

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=79

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=79/30

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_045

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=89

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=89/34

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_046

metadata

ϑ_0=9

program	khoca
calculation #	305
input	braid [1,1,1,1,1,-2,1,1,1,-2]

ϑ_2=12

program	khoca
calculation #	305
input	braid [1,1,1,1,1,-2,1,1,1,-2]

ϑ_3=9

program	khoca
calculation #	305
input	braid [1,1,1,1,1,-2,1,1,1,-2]

ϑ_5=9

program	khoca
calculation #	305
input	braid [1,1,1,1,1,-2,1,1,1,-2]

ϑ_7=9

program	khoca
calculation #	305
input	braid [1,1,1,1,1,-2,1,1,1,-2]

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=31

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_047

metadata

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=41

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_048

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=49

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_049

metadata

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=59

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_050

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=53

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_051

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=67

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_052

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=59

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_053

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=73

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_054

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=47

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_055

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=61

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_056

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=65

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_057

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=79

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_058

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=65

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_059

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=75

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_060

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=85

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_061

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=33

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_062

metadata

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=45

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_063

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=57

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_064

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=51

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_065

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=63

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_066

metadata

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=75

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_067

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=63

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_068

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=57

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_069

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=87

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_070

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=67

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_071

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=77

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_072

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=73

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_073

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=83

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_074

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=63

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_075

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=81

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_076

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=57

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_077

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=63

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_078

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=69

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_079

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=61

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_080

metadata

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=71

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_081

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=85

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_082

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=63

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_083

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=83

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_084

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=87

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_085

metadata

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=57

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_086

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=85

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_087

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=81

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_088

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=101

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_089

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=99

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_090

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=77

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_091

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=73

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_092

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=89

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_093

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=67

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_094

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=71

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_095

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=91

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_096

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=93

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_097

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=87

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_098

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=81

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_099

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=81

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_100

metadata

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=65

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_101

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=85

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_102

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=73

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_103

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=75

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_104

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=77

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_105

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=91

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_106

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=75

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_107

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=93

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_108

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=63

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_109

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=85

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_110

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=83

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_111

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=77

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_112

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=87

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_113

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=111

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_114

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=93

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_115

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=109

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_116

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=95

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_117

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=103

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_118

metadata

ϑ_0=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_7=0

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=97

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_119

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=101

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_120

metadata

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=105

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_121

metadata

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=115

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_122

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=105

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_123

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	amphicheiral
date	25 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	amphicheiral
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=121

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_124

metadata

pretzel=5,3,-2

author

Lukas Lewark

torus=3,5

author

Lukas Lewark

ϑ_0=11

program	khoca
calculation #	71
input	braid [1,1,1,1,1,2,1,1,1,2]

ϑ_2=12

program	kht++ v0.1-53-g46e86f4
options	-c2-d
input	r1.y0.r2.y0.y0.y0.y1.y3.y0.x2.u1.y0.y0.u1,1

program	khoca
calculation #	23
input	braid [1,1,1,1,1,2,1,1,1,2]

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1.u0,1

program	khoca
calculation #	71
input	braid [1,1,1,1,1,2,1,1,1,2]

ϑ_3=12

program	kht++ v0.1-53-g46e86f4
options	-c3-d
input	r1.y0.r2.y0.y0.y0.y1.y3.y0.x2.u1.y0.y0.u1,1

program	khoca
calculation #	23
input	braid [1,1,1,1,1,2,1,1,1,2]

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1.u0,1

program	khoca
calculation #	71
input	braid [1,1,1,1,1,2,1,1,1,2]

ϑ_5=11

program	kht++ v0.1-53-g46e86f4
options	-c5-d
input	r1.y0.r2.y0.y0.y0.y1.y3.y0.x2.u1.y0.y0.u1,1

program	khoca
calculation #	23
input	braid [1,1,1,1,1,2,1,1,1,2]

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1.u0,1

program	khoca
calculation #	71
input	braid [1,1,1,1,1,2,1,1,1,2]

ϑ_7=11

program	kht++ v0.1-53-g46e86f4
options	-c7-d
input	r1.y0.r2.y0.y0.y0.y1.y3.y0.x2.u1.y0.y0.u1,1

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1.u0,1

program	khoca
calculation #	71
input	braid [1,1,1,1,1,2,1,1,1,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,1,1,1,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,1,1,1,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [1,1,1,1,1,2,1,1,1,2]

s_2=8

program	kht++ v0.1-53-g46e86f4
options	-c2
input	r1.y0.r2.y0.y0.y0.y1.y3.y0.x2.u1.y0.y0.u1,1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-8

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=4

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=4

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_125

metadata

pretzel=3,-2,-5

author

Lukas Lewark

ϑ_0=-2

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-1,2,1,1,1,2]

ϑ_2=-4

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.x0.x0.u1.u0,1

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-1,2,1,1,1,2]

ϑ_3=-2

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.x0.x0.u1.u0,1

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-1,2,1,1,1,2]

ϑ_5=-2

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.x0.x0.u1.u0,1

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-1,2,1,1,1,2]

ϑ_7=-2

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.x0.x0.u1.u0,1

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-1,2,1,1,1,2]

ϑ_2-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-1,-1,2,1,1,1,2]

ϑ_3-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-1,-1,2,1,1,1,2]

ϑ_5-rat=0

program	khoca
calculation #	75
input	braid [-1,-1,-1,-1,-1,2,1,1,1,2]

s_2(2,1-cable)=-2

program	khoca
calculation #	145
input	braid [1,1,1,1,1,-2,-1,-1,-1,-2]

s_3(2,1-cable)=-2

program	khoca
calculation #	145
input	braid [1,1,1,1,1,-2,-1,-1,-1,-2]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=11

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_126

metadata

pretzel=3,2,-5

author

Lukas Lewark

ϑ_0=-3

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-1,-2,1,1,1,-2]

ϑ_2=-4

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.y0.y0.u1.u0,1

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-1,-2,1,1,1,-2]

ϑ_3=-3

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.y0.y0.u1.u0,1

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-1,-2,1,1,1,-2]

ϑ_5=-3

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.y0.y0.u1.u0,1

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-1,-2,1,1,1,-2]

ϑ_7=-3

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.y0.y0.u1.u0,1

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-1,-2,1,1,1,-2]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [-1,-1,-1,-1,-1,-2,1,1,1,-2]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [-1,-1,-1,-1,-1,-2,1,1,1,-2]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [-1,-1,-1,-1,-1,-2,1,1,1,-2]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=19

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_127

metadata

ϑ_0=6

program	khoca
calculation #	309
input	braid [1,1,1,1,1,2,-1,-1,2,2]

ϑ_2=8

program	khoca
calculation #	309
input	braid [1,1,1,1,1,2,-1,-1,2,2]

ϑ_3=6

program	khoca
calculation #	309
input	braid [1,1,1,1,1,2,-1,-1,2,2]

ϑ_5=6

program	khoca
calculation #	309
input	braid [1,1,1,1,1,2,-1,-1,2,2]

ϑ_7=6

program	khoca
calculation #	309
input	braid [1,1,1,1,1,2,-1,-1,2,2]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,1,1,2,-1,-1,2,2]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,1,1,2,-1,-1,2,2]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,1,1,2,-1,-1,2,2]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=29

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_128

metadata

ϑ_0=8

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,2,2,3,-2,3]

ϑ_2=8

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,2,2,3,-2,3]

ϑ_3=9

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,2,2,3,-2,3]

ϑ_5=8

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,2,2,3,-2,3]

ϑ_7=8

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,2,2,3,-2,3]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,1,1,2,2,3,-2,3]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,1,1,2,2,3,-2,3]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,1,1,2,2,3,-2,3]

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=11

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_129

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,2,1,1,-3,2,1,-3,2]

ϑ_3-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,2,1,1,-3,2,1,-3,2]

ϑ_5-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,2,1,1,-3,2,1,-3,2]

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=25

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_130

metadata

ϑ_0=0

program	khoca
calculation #	309
input	braid [1,1,1,-2,-1,-1,-2,-2,-3,2,-3]

ϑ_2=0

program	khoca
calculation #	309
input	braid [1,1,1,-2,-1,-1,-2,-2,-3,2,-3]

ϑ_3=0

program	khoca
calculation #	309
input	braid [1,1,1,-2,-1,-1,-2,-2,-3,2,-3]

ϑ_5=0

program	khoca
calculation #	309
input	braid [1,1,1,-2,-1,-1,-2,-2,-3,2,-3]

ϑ_7=0

program	khoca
calculation #	309
input	braid [1,1,1,-2,-1,-1,-2,-2,-3,2,-3]

ϑ_2-rat=1

program	khoca
calculation #	76
input	braid [1,1,1,-2,-1,-1,-2,-2,-3,2,-3]

ϑ_3-rat=1

program	khoca
calculation #	76
input	braid [1,1,1,-2,-1,-1,-2,-2,-3,2,-3]

ϑ_5-rat=1

program	khoca
calculation #	76
input	braid [1,1,1,-2,-1,-1,-2,-2,-3,2,-3]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=17

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_131

metadata

ϑ_0=3

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,-1,2,2,3,-2,3]

ϑ_2=4

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,-1,2,2,3,-2,3]

ϑ_3=3

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,-1,2,2,3,-2,3]

ϑ_5=3

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,-1,2,2,3,-2,3]

ϑ_7=3

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,-1,2,2,3,-2,3]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,-1,-1,2,2,3,-2,3]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,-1,-1,2,2,3,-2,3]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,-1,-1,2,2,3,-2,3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=31

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_132

metadata

ϑ_0=-3

program	khoca
calculation #	309
input	braid [1,1,1,-2,-1,-1,-2,-3,2,-3,-3]

ϑ_2=-4

program	khoca
calculation #	309
input	braid [1,1,1,-2,-1,-1,-2,-3,2,-3,-3]

ϑ_3=-3

program	khoca
calculation #	309
input	braid [1,1,1,-2,-1,-1,-2,-3,2,-3,-3]

ϑ_5=-3

program	khoca
calculation #	309
input	braid [1,1,1,-2,-1,-1,-2,-3,2,-3,-3]

ϑ_7=-3

program	khoca
calculation #	309
input	braid [1,1,1,-2,-1,-1,-2,-3,2,-3,-3]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,-2,-1,-1,-2,-3,2,-3,-3]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,-2,-1,-1,-2,-3,2,-3,-3]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,-2,-1,-1,-2,-3,2,-3,-3]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=5

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_133

metadata

ϑ_0=3

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,-1,2,3,-2,3,3]

ϑ_2=4

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,-1,2,3,-2,3,3]

ϑ_3=3

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,-1,2,3,-2,3,3]

ϑ_5=3

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,-1,2,3,-2,3,3]

ϑ_7=3

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,-1,2,3,-2,3,3]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,-1,-1,2,3,-2,3,3]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,-1,-1,2,3,-2,3,3]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,-1,-1,2,3,-2,3,3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=19

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_134

metadata

ϑ_0=9

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,2,3,-2,3,3]

ϑ_2=12

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,2,3,-2,3,3]

ϑ_3=9

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,2,3,-2,3,3]

ϑ_5=9

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,2,3,-2,3,3]

ϑ_7=9

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,2,3,-2,3,3]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,1,1,2,3,-2,3,3]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,1,1,2,3,-2,3,3]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,1,1,2,3,-2,3,3]

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=23

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_135

metadata

ϑ_0=0

program	khoca
calculation #	309
input	braid [-1,-1,-1,-2,1,-2,3,2,2,2,3]

ϑ_2=0

program	khoca
calculation #	309
input	braid [-1,-1,-1,-2,1,-2,3,2,2,2,3]

ϑ_3=0

program	khoca
calculation #	309
input	braid [-1,-1,-1,-2,1,-2,3,2,2,2,3]

ϑ_5=0

program	khoca
calculation #	309
input	braid [-1,-1,-1,-2,1,-2,3,2,2,2,3]

ϑ_7=0

program	khoca
calculation #	309
input	braid [-1,-1,-1,-2,1,-2,3,2,2,2,3]

ϑ_2-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,-2,1,-2,3,2,2,2,3]

ϑ_3-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,-2,1,-2,3,2,2,2,3]

ϑ_5-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,-2,1,-2,3,2,2,2,3]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=37

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_136

metadata

ϑ_0=0

program	khoca
calculation #	309
input	braid [-1,-1,-2,3,-2,1,-2,-2,3,2,2]

ϑ_2=0

program	khoca
calculation #	309
input	braid [-1,-1,-2,3,-2,1,-2,-2,3,2,2]

ϑ_3=0

program	khoca
calculation #	309
input	braid [-1,-1,-2,3,-2,1,-2,-2,3,2,2]

ϑ_5=0

program	khoca
calculation #	309
input	braid [-1,-1,-2,3,-2,1,-2,-2,3,2,2]

ϑ_7=0

program	khoca
calculation #	309
input	braid [-1,-1,-2,3,-2,1,-2,-2,3,2,2]

ϑ_2-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-2,3,-2,1,-2,-2,3,2,2]

ϑ_3-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-2,3,-2,1,-2,-2,3,2,2]

ϑ_5-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-2,3,-2,1,-2,-2,3,2,2]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=15

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_137

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

program	khoca
calculation #	76
input	braid [1,-2,1,-2,3,2,2,-4,3,-4]

ϑ_3-rat=1

program	khoca
calculation #	76
input	braid [1,-2,1,-2,3,2,2,-4,3,-4]

ϑ_5-rat=1

program	khoca
calculation #	76
input	braid [1,-2,1,-2,3,2,2,-4,3,-4]

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=25

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_138

metadata

ϑ_0=3

program	khoca
calculation #	309
input	braid [-1,2,-1,2,3,2,2,-4,3,-4]

ϑ_2=4

program	khoca
calculation #	309
input	braid [-1,2,-1,2,3,2,2,-4,3,-4]

ϑ_3=3

program	khoca
calculation #	309
input	braid [-1,2,-1,2,3,2,2,-4,3,-4]

ϑ_5=3

program	khoca
calculation #	309
input	braid [-1,2,-1,2,3,2,2,-4,3,-4]

ϑ_7=3

program	khoca
calculation #	309
input	braid [-1,2,-1,2,3,2,2,-4,3,-4]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [-1,2,-1,2,3,2,2,-4,3,-4]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [-1,2,-1,2,3,2,2,-4,3,-4]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [-1,2,-1,2,3,2,2,-4,3,-4]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=35

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_139

metadata

ϑ_0=11

program	khoca
calculation #	309
input	braid [1,1,1,1,2,1,1,1,2,2]

ϑ_2=12

program	khoca
calculation #	309
input	braid [1,1,1,1,2,1,1,1,2,2]

ϑ_3=12

program	khoca
calculation #	309
input	braid [1,1,1,1,2,1,1,1,2,2]

ϑ_5=11

program	khoca
calculation #	309
input	braid [1,1,1,1,2,1,1,1,2,2]

ϑ_7=11

program	khoca
calculation #	309
input	braid [1,1,1,1,2,1,1,1,2,2]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,1,2,1,1,1,2,2]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,1,2,1,1,1,2,2]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,1,2,1,1,1,2,2]

s_2=8

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=4

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=3

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=4

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_140

metadata

pretzel=3,-3,-4

author

Lukas Lewark

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,1

reason

slice knots have theta_c = 0

ϑ_3=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,1

reason

slice knots have theta_c = 0

ϑ_5=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,1

reason

slice knots have theta_c = 0

ϑ_7=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,1

reason

slice knots have theta_c = 0

ϑ_2-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,2,1,1,1,2,3,-2,3]

ϑ_3-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,2,1,1,1,2,3,-2,3]

ϑ_5-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,2,1,1,1,2,3,-2,3]

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=9

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_141

metadata

ϑ_0=0

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,2,1,1,1,2,2]

ϑ_2=0

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,2,1,1,1,2,2]

ϑ_3=0

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,2,1,1,1,2,2]

ϑ_5=0

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,2,1,1,1,2,2]

ϑ_7=0

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,2,1,1,1,2,2]

ϑ_2-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,-1,2,1,1,1,2,2]

ϑ_3-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,-1,2,1,1,1,2,2]

ϑ_5-rat=1

program	khoca
calculation #	76
input	braid [-1,-1,-1,-1,2,1,1,1,2,2]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=21

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_142

metadata

pretzel=3,3,-4

author

Lukas Lewark

ϑ_0=9

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,1,2,3,-2,3]

ϑ_2=12

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,1

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,1,2,3,-2,3]

ϑ_3=9

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,1

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,1,2,3,-2,3]

ϑ_5=9

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,1

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,1,2,3,-2,3]

ϑ_7=9

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,1

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,1,2,3,-2,3]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,1,1,1,2,3,-2,3]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,1,1,1,2,3,-2,3]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,2,1,1,1,2,3,-2,3]

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=15

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_143

metadata

ϑ_0=-3

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-2,1,1,1,-2,-2]

ϑ_2=-4

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-2,1,1,1,-2,-2]

ϑ_3=-3

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-2,1,1,1,-2,-2]

ϑ_5=-3

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-2,1,1,1,-2,-2]

ϑ_7=-3

program	khoca
calculation #	309
input	braid [-1,-1,-1,-1,-2,1,1,1,-2,-2]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [-1,-1,-1,-1,-2,1,1,1,-2,-2]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [-1,-1,-1,-1,-2,1,1,1,-2,-2]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [-1,-1,-1,-1,-2,1,1,1,-2,-2]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=27

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_144

metadata

ϑ_2=4

program	khoca
calculation #	22
input	braid [1,1,2,-1,2,1,-3,2,1,-3,-2]

program	khoca
calculation #	71
input	braid [1,1,2,-1,2,1,-3,2,1,-3,-2]

ϑ_3=3

program	khoca
calculation #	22
input	braid [1,1,2,-1,2,1,-3,2,1,-3,-2]

program	khoca
calculation #	71
input	braid [1,1,2,-1,2,1,-3,2,1,-3,-2]

ϑ_5=3

program	khoca
calculation #	22
input	braid [1,1,2,-1,2,1,-3,2,1,-3,-2]

program	khoca
calculation #	71
input	braid [1,1,2,-1,2,1,-3,2,1,-3,-2]

ϑ_7=3

program	khoca
calculation #	71
input	braid [1,1,2,-1,2,1,-3,2,1,-3,-2]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [1,1,2,-1,2,1,-3,2,1,-3,-2]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [1,1,2,-1,2,1,-3,2,1,-3,-2]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [1,1,2,-1,2,1,-3,2,1,-3,-2]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=39

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_145

metadata

ϑ_0=-6

program	khoca
calculation #	310
input	braid [-1,-1,-2,1,-2,-1,-3,-2,1,-2,-3]

ϑ_2=-8

program	khoca
calculation #	310
input	braid [-1,-1,-2,1,-2,-1,-3,-2,1,-2,-3]

ϑ_3=-6

program	khoca
calculation #	310
input	braid [-1,-1,-2,1,-2,-1,-3,-2,1,-2,-3]

ϑ_5=-6

program	khoca
calculation #	310
input	braid [-1,-1,-2,1,-2,-1,-3,-2,1,-2,-3]

ϑ_7=-6

program	khoca
calculation #	310
input	braid [-1,-1,-2,1,-2,-1,-3,-2,1,-2,-3]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [-1,-1,-2,1,-2,-1,-3,-2,1,-2,-3]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [-1,-1,-2,1,-2,-1,-3,-2,1,-2,-3]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [-1,-1,-2,1,-2,-1,-3,-2,1,-2,-3]

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=3

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_146

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=33

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_147

metadata

ϑ_0=3

program	khoca
calculation #	310
input	braid [1,1,1,-2,1,-2,-3,2,-1,2,-3]

ϑ_2=4

program	khoca
calculation #	310
input	braid [1,1,1,-2,1,-2,-3,2,-1,2,-3]

ϑ_3=3

program	khoca
calculation #	310
input	braid [1,1,1,-2,1,-2,-3,2,-1,2,-3]

ϑ_5=3

program	khoca
calculation #	310
input	braid [1,1,1,-2,1,-2,-3,2,-1,2,-3]

ϑ_7=3

program	khoca
calculation #	310
input	braid [1,1,1,-2,1,-2,-3,2,-1,2,-3]

ϑ_2-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,-2,1,-2,-3,2,-1,2,-3]

ϑ_3-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,-2,1,-2,-3,2,-1,2,-3]

ϑ_5-rat=0

program	khoca
calculation #	76
input	braid [1,1,1,-2,1,-2,-3,2,-1,2,-3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=27

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_148

metadata

ϑ_0=-3

program	khoca
calculation #	310
input	braid [-1,-1,-1,-1,-2,1,1,-2,1,-2]

ϑ_2=-4

program	khoca
calculation #	310
input	braid [-1,-1,-1,-1,-2,1,1,-2,1,-2]

ϑ_3=-3

program	khoca
calculation #	310
input	braid [-1,-1,-1,-1,-2,1,1,-2,1,-2]

ϑ_5=-3

program	khoca
calculation #	310
input	braid [-1,-1,-1,-1,-2,1,1,-2,1,-2]

ϑ_7=-3

program	khoca
calculation #	310
input	braid [-1,-1,-1,-1,-2,1,1,-2,1,-2]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=31

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_149

metadata

ϑ_0=6

program	khoca
calculation #	310
input	braid [1,1,1,1,2,-1,2,-1,2,2]

program	khoca
calculation #	310
input	braid [1,1,1,1,2,-1,2,-1,2,2]

ϑ_2=8

program	khoca
calculation #	310
input	braid [1,1,1,1,2,-1,2,-1,2,2]

ϑ_3=6

program	khoca
calculation #	310
input	braid [1,1,1,1,2,-1,2,-1,2,2]

ϑ_5=6

program	khoca
calculation #	310
input	braid [1,1,1,1,2,-1,2,-1,2,2]

ϑ_7=6

program	khoca
calculation #	310
input	braid [1,1,1,1,2,-1,2,-1,2,2]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=41

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_150

metadata

ϑ_0=6

program	khoca
calculation #	310
input	braid [1,1,1,-2,1,1,3,-2,-1,3,2]

ϑ_2=8

program	khoca
calculation #	310
input	braid [1,1,1,-2,1,1,3,-2,-1,3,2]

ϑ_3=6

program	khoca
calculation #	310
input	braid [1,1,1,-2,1,1,3,-2,-1,3,2]

ϑ_5=6

program	khoca
calculation #	310
input	braid [1,1,1,-2,1,1,3,-2,-1,3,2]

ϑ_7=6

program	khoca
calculation #	310
input	braid [1,1,1,-2,1,1,3,-2,-1,3,2]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=29

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_151

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=43

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_152

metadata

ϑ_0=11

program	khoca
calculation #	310
input	braid [1,1,1,2,2,1,1,2,2,2]

ϑ_2=12

program	khoca
calculation #	310
input	braid [1,1,1,2,2,1,1,2,2,2]

ϑ_3=12

program	khoca
calculation #	310
input	braid [1,1,1,2,2,1,1,2,2,2]

ϑ_5=11

program	khoca
calculation #	310
input	braid [1,1,1,2,2,1,1,2,2,2]

ϑ_7=11

program	khoca
calculation #	310
input	braid [1,1,1,2,2,1,1,2,2,2]

s_2=8

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=4

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=11

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=4

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=4

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_153

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_154

metadata

ϑ_0=8

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,1,3,2,2,2,3]

ϑ_2=8

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,1,3,2,2,2,3]

ϑ_3=9

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,1,3,2,2,2,3]

ϑ_5=8

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,1,3,2,2,2,3]

ϑ_7=8

program	khoca
calculation #	400
input	braid [1,1,2,-1,2,1,3,2,2,2,3]

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=13

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_155

metadata

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

reason

slice knots have theta_c = 0

ϑ_3=0

reason

slice knots have theta_c = 0

ϑ_5=0

reason

slice knots have theta_c = 0

ϑ_7=0

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=25

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_156

metadata

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=35

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_157

metadata

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=49

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_158

metadata

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=45

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_159

metadata

ϑ_2=4

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,2,-1,-1,2,2]

ϑ_3=3

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,2,-1,-1,2,2]

ϑ_5=3

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,2,-1,-1,2,2]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=39

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_160

metadata

ϑ_0=6

program	khoca
calculation #	400
input	braid [1,1,1,2,1,1,-3,2,-1,2,-3]

ϑ_2=8

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,-3,2,-1,2,-3]

program	khoca
calculation #	400
input	braid [1,1,1,2,1,1,-3,2,-1,2,-3]

ϑ_3=6

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,-3,2,-1,2,-3]

program	khoca
calculation #	400
input	braid [1,1,1,2,1,1,-3,2,-1,2,-3]

ϑ_5=6

program	khoca
calculation #	309
input	braid [1,1,1,2,1,1,-3,2,-1,2,-3]

program	khoca
calculation #	400
input	braid [1,1,1,2,1,1,-3,2,-1,2,-3]

ϑ_7=6

program	khoca
calculation #	400
input	braid [1,1,1,2,1,1,-3,2,-1,2,-3]

s_2=4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=21

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_161

metadata

ϑ_0=8

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,2,1,1,2,2]

ϑ_2=8

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,2,1,1,2,2]

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,2,1,1,2,2]

ϑ_3=9

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,2,1,1,2,2]

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,2,1,1,2,2]

ϑ_5=8

program	khoca
calculation #	309
input	braid [1,1,1,2,-1,2,1,1,2,2]

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,2,1,1,2,2]

ϑ_7=8

program	khoca
calculation #	400
input	braid [1,1,1,2,-1,2,1,1,2,2]

s_2=6

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=5

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=3

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_162

metadata

ϑ_2=-4

program	khoca
calculation #	309
input	braid [-1,-1,-2,1,1,-2,-2,-1,3,-2,3]

program	khoca
calculation #	309
input	braid [-1,-1,-2,1,1,-2,-2,-1,3,-2,3]

program	khoca
calculation #	400
input	braid [-1,-1,-2,1,1,-2,-2,-1,3,-2,3]

ϑ_3=-3

program	khoca
calculation #	309
input	braid [-1,-1,-2,1,1,-2,-2,-1,3,-2,3]

program	khoca
calculation #	309
input	braid [-1,-1,-2,1,1,-2,-2,-1,3,-2,3]

program	khoca
calculation #	400
input	braid [-1,-1,-2,1,1,-2,-2,-1,3,-2,3]

ϑ_5=-3

program	khoca
calculation #	309
input	braid [-1,-1,-2,1,1,-2,-2,-1,3,-2,3]

program	khoca
calculation #	400
input	braid [-1,-1,-2,1,1,-2,-2,-1,3,-2,3]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=35

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_163

metadata

ϑ_2=4

program	khoca
calculation #	400
input	braid [1,1,-2,-1,-1,3,2,-1,2,2,3]

ϑ_3=3

program	khoca
calculation #	400
input	braid [1,1,-2,-1,-1,3,2,-1,2,2,3]

ϑ_5=3

program	khoca
calculation #	400
input	braid [1,1,-2,-1,-1,3,2,-1,2,2,3]

s_2=2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=51

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=3

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_164

metadata

ϑ_2=0

program	khoca
calculation #	400
input	braid [1,1,-2,1,-2,-2,-3,2,-1,2,-3]

ϑ_3=0

program	khoca
calculation #	400
input	braid [1,1,-2,1,-2,-2,-3,2,-1,2,-3]

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=0

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=0

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=45

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

10_165

metadata

ϑ_2=-4

program	khoca
calculation #	400
input	braid [-1,-1,-2,1,3,-2,1,-2,-3,-3,-2]

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

ε=-1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

det=39

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	5 June 2022
scraped by	Claudius Zibrowius

Genus-3D=2

source	knotinfo
date	9 June 2025
scraped by	Claudius Zibrowius

11a_367

metadata

torus=2,11

author

Lukas Lewark

ϑ_0=15

program	khoca
calculation #	141
input	braid [1,1,1,1,1,1,1,1,1,1,1]

s_2=10

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

σ=-10

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

τ=10

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

ε=1

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

det=11

program	snappy
date	25 August 2022
added by	Lukas Lewark

2bridge=11/1

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=5

source	knotinfo
date	25 August 2022
scraped by	Lukas Lewark

11n_077

metadata

ϑ_2=12

program	khoca
calculation #	122
input	braid [1,1,2,2,1,3,2,2,2,3,3]

ϑ_3=12

program	khoca
calculation #	122
input	braid [1,1,2,2,1,3,2,2,2,3,3]

ϑ_5=11

program	khoca
calculation #	122
input	braid [1,1,2,2,1,3,2,2,2,3,3]

ϑ_7=11

program	khoca
calculation #	126
input	braid [1,1,2,2,1,3,2,2,2,3,3]

s_2=8

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

σ=-6

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

ε=1

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	23 June 2022
scraped by	Lukas Lewark

det=27

program	snappy
date	25 August 2022
added by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

12n_0233

metadata

pretzel=3,2,-7

author

Lukas Lewark

ϑ_2=-8

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.x2.x2.u1.y0.y0.u1.u0,

ϑ_3=-6

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.x2.x2.u1.y0.y0.u1.u0,

ϑ_5=-6

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.x2.x2.u1.y0.y0.u1.u0,

ϑ_7=-6

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.x2.x2.u1.y0.y0.u1.u0,

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

ε=-1

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

det=29

program	snappy
date	25 August 2022
added by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

12n_0235

metadata

pretzel=3,-2,-7

author

Lukas Lewark

ϑ_2=-8

program	khoca
calculation #	51
input	braid [2,2,2,1,-2,-2,-2,-2,-2,-2,-2,1]

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.x2.x2.u1.x0.x0.u1.u0,

ϑ_3=-5

program	khoca
calculation #	51
input	braid [2,2,2,1,-2,-2,-2,-2,-2,-2,-2,1]

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.x2.x2.u1.x0.x0.u1.u0,

ϑ_5=-5

program	khoca
calculation #	51
input	braid [2,2,2,1,-2,-2,-2,-2,-2,-2,-2,1]

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.x2.x2.u1.x0.x0.u1.u0,

ϑ_7=-5

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.x2.x2.u1.x0.x0.u1.u0,

s_2=-4

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=4

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-2

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

ε=-1

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

det=13

program	snappy
date	25 August 2022
added by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=2

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

12n_0242

metadata

pretzel=7,3,-2

author

Lukas Lewark

ϑ_2=16

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_3=15

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_5=14

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_7=14

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

s_2=10

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-8

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=5

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

ε=1

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

det=1

program	snappy
date	25 August 2022
added by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=5

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

12n_0474

metadata

pretzel=5,3,-4

author

Lukas Lewark

ϑ_2=16

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,

ϑ_3=12

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,

ϑ_5=12

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,

ϑ_7=12

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,

s_2=8

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-8

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=4

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

ε=1

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

det=17

program	snappy
date	25 August 2022
added by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=4

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

12n_0475

metadata

pretzel=3,-4,-5

author

Lukas Lewark

ϑ_2=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,

ϑ_3=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,

ϑ_5=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,

ϑ_7=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,

s_2=0

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=0

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

ε=0

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

det=7

program	snappy
date	25 August 2022
added by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

12n_0522

metadata

pretzel=4,3,-5

author

Lukas Lewark

ϑ_2=-4

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.y0.y0.y0.y0.u1.u0,

ϑ_3=-3

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.y0.y0.y0.y0.u1.u0,

ϑ_5=-3

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.y0.y0.y0.y0.u1.u0,

ϑ_7=-3

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.y0.y0.y0.y0.u1.u0,

s_2=-2

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=2

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=-1

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

ε=-1

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

det=23

program	snappy
date	25 August 2022
added by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=1

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

12n_0725

metadata

pretzel=5,5,-2

author

Lukas Lewark

ϑ_2=16

program	khoca
calculation #	51
input	braid [2,2,2,2,2,1,2,2,2,2,2,1]

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_3=15

program	khoca
calculation #	51
input	braid [2,2,2,2,2,1,2,2,2,2,2,1]

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_5=14

program	khoca
calculation #	51
input	braid [2,2,2,2,2,1,2,2,2,2,2,1]

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_7=14

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

s_2=10

source	knotinfo (using s_0=s_2 up to 13 crossings)
date	21 June 2022
scraped by	Lukas Lewark

σ=-8

source	knotinfo
date	23 June 2022
scraped by	Lukas Lewark

τ=5

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

ε=1

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

det=5

program	snappy
date	25 August 2022
added by	Lukas Lewark

2bridge=no

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

source	knotinfo
date	18 October 2022
scraped by	Claudius Zibrowius

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=5

source	knotinfo
date	21 June 2022
scraped by	Lukas Lewark

14n_06004

metadata

pretzel=3,2,-9

author

Lukas Lewark

ϑ_2=-12

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.y0.y0.u1.u0,

ϑ_3=-9

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.y0.y0.u1.u0,

ϑ_5=-9

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.y0.y0.u1.u0,

ϑ_7=-9

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.y0.y0.u1.u0,

s_2=-6

program	khoca
input	PD[X[27,5,0,4],X[3,27,4,26],X[25,3,26,2],X[16,5,17,6],X[6,17,7,18],X[18,7,19,8],X[8,19,9,20],X[20,9,21,10],X[10,21,11,22],X[22,11,23,12],X[12,23,13,24],X[24,13,25,14],X[1,14,2,15],X[15,0,16,1]]

σ=6

program

snappy

τ=-3

program	computehfk
input	prime 2,PD[X[27,5,0,4],X[3,27,4,26],X[25,3,26,2],X[16,5,17,6],X[6,17,7,18],X[18,7,19,8],X[8,19,9,20],X[20,9,21,10],X[10,21,11,22],X[22,11,23,12],X[12,23,13,24],X[24,13,25,14],X[1,14,2,15],X[15,0,16,1]]

ε=-1

program	computehfk
input	prime 2,PD[X[27,5,0,4],X[3,27,4,26],X[25,3,26,2],X[16,5,17,6],X[6,17,7,18],X[18,7,19,8],X[8,19,9,20],X[20,9,21,10],X[10,21,11,22],X[22,11,23,12],X[12,23,13,24],X[24,13,25,14],X[1,14,2,15],X[15,0,16,1]]

det=39

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=3

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

14n_06006

metadata

pretzel=3,-2,-9

author

Lukas Lewark

ϑ_2=-12

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_3=-8

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_5=-8

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_7=-8

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.u1.x0.x0.u1.u0,

s_2=-6

program	khoca
input	PD[X[27,5,0,4],X[3,27,4,26],X[25,3,26,2],X[16,5,17,6],X[6,17,7,18],X[18,7,19,8],X[8,19,9,20],X[20,9,21,10],X[10,21,11,22],X[22,11,23,12],X[12,23,13,24],X[24,13,25,14],X[14,2,15,1],X[0,16,1,15]]

σ=6

program

snappy

τ=-3

program	computehfk
input	prime 2,PD[X[27,5,0,4],X[3,27,4,26],X[25,3,26,2],X[16,5,17,6],X[6,17,7,18],X[18,7,19,8],X[8,19,9,20],X[20,9,21,10],X[10,21,11,22],X[22,11,23,12],X[12,23,13,24],X[24,13,25,14],X[14,2,15,1],X[0,16,1,15]]

ε=-1

program	computehfk
input	prime 2,PD[X[27,5,0,4],X[3,27,4,26],X[25,3,26,2],X[16,5,17,6],X[6,17,7,18],X[18,7,19,8],X[8,19,9,20],X[20,9,21,10],X[10,21,11,22],X[22,11,23,12],X[12,23,13,24],X[24,13,25,14],X[14,2,15,1],X[0,16,1,15]]

det=15

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=3

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

14n_06022

metadata

pretzel=9,3,-2

author

Lukas Lewark

ϑ_2=20

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_3=18

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_5=17

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_7=17

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.u1.x0.x0.u1.u0,

s_2=12

program	khoca
input	PD[X[27,11,0,10],X[9,27,10,26],X[25,9,26,8],X[7,25,8,24],X[23,7,24,6],X[5,23,6,22],X[21,5,22,4],X[3,21,4,20],X[19,3,20,2],X[11,17,12,16],X[17,13,18,12],X[13,19,14,18],X[14,2,15,1],X[0,16,1,15]]

σ=-10

program

snappy

τ=6

program	computehfk
input	prime 2,PD[X[27,11,0,10],X[9,27,10,26],X[25,9,26,8],X[7,25,8,24],X[23,7,24,6],X[5,23,6,22],X[21,5,22,4],X[3,21,4,20],X[19,3,20,2],X[11,17,12,16],X[17,13,18,12],X[13,19,14,18],X[14,2,15,1],X[0,16,1,15]]

ε=1

program	computehfk
input	prime 2,PD[X[27,11,0,10],X[9,27,10,26],X[25,9,26,8],X[7,25,8,24],X[23,7,24,6],X[5,23,6,22],X[21,5,22,4],X[3,21,4,20],X[19,3,20,2],X[11,17,12,16],X[17,13,18,12],X[13,19,14,18],X[14,2,15,1],X[0,16,1,15]]

det=3

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=6

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

14n_21316

metadata

pretzel=5,2,-7

author

Lukas Lewark

ϑ_2=-4

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.y2.y2.u1.y0.y0.u1.u0,

ϑ_3=-3

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.y2.y2.u1.y0.y0.u1.u0,

ϑ_5=-3

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.y2.y2.u1.y0.y0.u1.u0,

ϑ_7=-3

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.y2.y2.u1.y0.y0.u1.u0,

s_2=-2

program	khoca
input	PD[X[27,7,0,6],X[5,27,6,26],X[25,5,26,4],X[3,25,4,24],X[23,3,24,2],X[16,7,17,8],X[8,17,9,18],X[18,9,19,10],X[10,19,11,20],X[20,11,21,12],X[12,21,13,22],X[22,13,23,14],X[1,14,2,15],X[15,0,16,1]]

σ=2

program

snappy

τ=-1

program	computehfk
input	prime 2,PD[X[27,7,0,6],X[5,27,6,26],X[25,5,26,4],X[3,25,4,24],X[23,3,24,2],X[16,7,17,8],X[8,17,9,18],X[18,9,19,10],X[10,19,11,20],X[20,11,21,12],X[12,21,13,22],X[22,13,23,14],X[1,14,2,15],X[15,0,16,1]]

ε=-1

program	computehfk
input	prime 2,PD[X[27,7,0,6],X[5,27,6,26],X[25,5,26,4],X[3,25,4,24],X[23,3,24,2],X[16,7,17,8],X[8,17,9,18],X[18,9,19,10],X[10,19,11,20],X[20,11,21,12],X[12,21,13,22],X[22,13,23,14],X[1,14,2,15],X[15,0,16,1]]

det=39

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=1

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

14n_21318

metadata

pretzel=5,-2,-7

author

Lukas Lewark

ϑ_2=-4

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_3=-2

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_5=-2

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_7=-2

program	khoca
calculation #	56
input	morse r0.r1.x0.x0.x0.x0.x0.x0.x0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

s_2=-2

program	khoca
input	PD[X[27,7,0,6],X[5,27,6,26],X[25,5,26,4],X[3,25,4,24],X[23,3,24,2],X[16,7,17,8],X[8,17,9,18],X[18,9,19,10],X[10,19,11,20],X[20,11,21,12],X[12,21,13,22],X[22,13,23,14],X[14,2,15,1],X[0,16,1,15]]

σ=2

program

snappy

τ=-1

program	computehfk
input	prime 2,PD[X[27,7,0,6],X[5,27,6,26],X[25,5,26,4],X[3,25,4,24],X[23,3,24,2],X[16,7,17,8],X[8,17,9,18],X[18,9,19,10],X[10,19,11,20],X[20,11,21,12],X[12,21,13,22],X[22,13,23,14],X[14,2,15,1],X[0,16,1,15]]

ε=-1

program	computehfk
input	prime 2,PD[X[27,7,0,6],X[5,27,6,26],X[25,5,26,4],X[3,25,4,24],X[23,3,24,2],X[16,7,17,8],X[8,17,9,18],X[18,9,19,10],X[10,19,11,20],X[20,11,21,12],X[12,21,13,22],X[22,13,23,14],X[14,2,15,1],X[0,16,1,15]]

det=31

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=1

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

14n_21324

metadata

pretzel=7,5,-2

author

Lukas Lewark

ϑ_2=20

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_3=18

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_5=17

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

ϑ_7=17

program	khoca
calculation #	56
input	morse r0.r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.u1.u0,

s_2=12

program	khoca
input	PD[X[27,9,0,8],X[7,27,8,26],X[25,7,26,6],X[5,25,6,24],X[23,5,24,4],X[3,23,4,22],X[21,3,22,2],X[9,17,10,16],X[17,11,18,10],X[11,19,12,18],X[19,13,20,12],X[13,21,14,20],X[14,2,15,1],X[0,16,1,15]]

σ=-10

program

snappy

τ=6

program	computehfk
input	prime 2,PD[X[27,9,0,8],X[7,27,8,26],X[25,7,26,6],X[5,25,6,24],X[23,5,24,4],X[3,23,4,22],X[21,3,22,2],X[9,17,10,16],X[17,11,18,10],X[11,19,12,18],X[19,13,20,12],X[13,21,14,20],X[14,2,15,1],X[0,16,1,15]]

ε=1

program	computehfk
input	prime 2,PD[X[27,9,0,8],X[7,27,8,26],X[25,7,26,6],X[5,25,6,24],X[23,5,24,4],X[3,23,4,22],X[21,3,22,2],X[9,17,10,16],X[17,11,18,10],X[11,19,12,18],X[19,13,20,12],X[13,21,14,20],X[14,2,15,1],X[0,16,1,15]]

det=11

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=6

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

14n_21881

metadata

torus=3,7

author

Lukas Lewark

ϑ_2=16

program	khoca
calculation #	101
input	braid [1,2,1,2,1,2,1,2,1,2,1,2,1,2]

ϑ_3=18

program	khoca
calculation #	101
input	braid [1,2,1,2,1,2,1,2,1,2,1,2,1,2]

ϑ_5=16

program	khoca
calculation #	101
input	braid [1,2,1,2,1,2,1,2,1,2,1,2,1,2]

s_2=12

reason

s_2 of T(p,q) equals (p-1)(q-1)

σ=-8

program

snappy

τ=6

reason

tau of T(p,q) equals (p-1)(q-1)/2

ε=1

reason

epsilon of T(p,q) equals 1

det=1

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=6

reason

slice genus of T(p,q) equals (p-1)(q-1)/2

14n_24552

metadata

pretzel=5,5,-4

author

Lukas Lewark

ϑ_0=15

program	khoca
calculation #	63
input	morse r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1,1

ϑ_2=16

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,

ϑ_3=15

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,

ϑ_5=15

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,

ϑ_7=15

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1.u0,

s_2=10

program	khoca
input	PD[X[27,9,0,8],X[7,27,8,26],X[25,7,26,6],X[5,25,6,24],X[23,5,24,4],X[9,19,10,18],X[19,11,20,10],X[11,21,12,20],X[21,13,22,12],X[13,23,14,22],X[14,4,15,3],X[2,16,3,15],X[16,2,17,1],X[0,18,1,17]]

σ=-10

program

snappy

τ=5

program	computehfk
input	prime 2,PD[X[27,9,0,8],X[7,27,8,26],X[25,7,26,6],X[5,25,6,24],X[23,5,24,4],X[9,19,10,18],X[19,11,20,10],X[11,21,12,20],X[21,13,22,12],X[13,23,14,22],X[14,4,15,3],X[2,16,3,15],X[16,2,17,1],X[0,18,1,17]]

ε=1

program	computehfk
input	prime 2,PD[X[27,9,0,8],X[7,27,8,26],X[25,7,26,6],X[5,25,6,24],X[23,5,24,4],X[9,19,10,18],X[19,11,20,10],X[11,21,12,20],X[21,13,22,12],X[13,23,14,22],X[14,4,15,3],X[2,16,3,15],X[16,2,17,1],X[0,18,1,17]]

det=15

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=5

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

14n_24553

metadata

pretzel=5,-4,-5

author

Lukas Lewark

ϑ_0=0

reason

slice knots have theta_c = 0

ϑ_2=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,

reason

slice knots have theta_c = 0

ϑ_3=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,

reason

slice knots have theta_c = 0

ϑ_5=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,

reason

slice knots have theta_c = 0

ϑ_7=0

program	khoca
calculation #	54
input	morse r0.r1.y0.y0.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.u1.u0,

reason

slice knots have theta_c = 0

ϑ_2-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_3-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

ϑ_5-rat=1

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_3(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_5(2,1-cable)=0

reason	slice
date	26 August 2022
added by	Lukas Lewark

s_2=0

program	khoca
input	PD[X[27,9,0,8],X[7,27,8,26],X[25,7,26,6],X[5,25,6,24],X[23,5,24,4],X[18,9,19,10],X[10,19,11,20],X[20,11,21,12],X[12,21,13,22],X[22,13,23,14],X[14,4,15,3],X[2,16,3,15],X[16,2,17,1],X[0,18,1,17]]

σ=0

program

snappy

τ=0

program	computehfk
input	prime 2,PD[X[27,9,0,8],X[7,27,8,26],X[25,7,26,6],X[5,25,6,24],X[23,5,24,4],X[18,9,19,10],X[10,19,11,20],X[20,11,21,12],X[12,21,13,22],X[22,13,23,14],X[14,4,15,3],X[2,16,3,15],X[16,2,17,1],X[0,18,1,17]]

ε=0

program	computehfk
input	prime 2,PD[X[27,9,0,8],X[7,27,8,26],X[25,7,26,6],X[5,25,6,24],X[23,5,24,4],X[18,9,19,10],X[10,19,11,20],X[20,11,21,12],X[12,21,13,22],X[22,13,23,14],X[14,4,15,3],X[2,16,3,15],X[16,2,17,1],X[0,18,1,17]]

det=25

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have symmetric Jones polynomial
date	25 August 2022
added by	Lukas Lewark

Genus-4D=0

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

15n_041185

metadata

torus=4,5

author

Lukas Lewark

ϑ_2=16

program	khoca
calculation #	118
input	braid [1,2,3,1,2,3,1,2,3,1,2,3,1,2,3]

ϑ_3=15

program	khoca
calculation #	123
input	braid [1,2,3,1,2,3,1,2,3,1,2,3,1,2,3]

ϑ_5=15

program	khoca
calculation #	127
input	braid [1,2,3,1,2,3,1,2,3,1,2,3,1,2,3]

ϑ_7=15

program	khoca
calculation #	128
input	braid [1,2,3,1,2,3,1,2,3,1,2,3,1,2,3]

s_2=12

reason

s_2 of T(p,q) equals (p-1)(q-1)

σ=-8

program

snappy

τ=6

reason

tau of T(p,q) equals (p-1)(q-1)/2

ε=1

reason

epsilon of T(p,q) equals 1

det=5

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=6

reason

slice genus of T(p,q) equals (p-1)(q-1)/2

15n_113775

metadata

pretzel=3,-5,-7

author

Lukas Lewark

ϑ_0=3

program	khoca
calculation #	91
input	morse l1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.x0.x0.x0.u1,1

ϑ_2=4

program	khoca
calculation #	90
input	morse l1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.x0.x0.x0.u1,1

ϑ_3=3

program	khoca
calculation #	91
input	morse l1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.x0.x0.x0.u1,1

ϑ_5=3

program	khoca
calculation #	91
input	morse l1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.x0.x0.x0.u1,1

ϑ_7=3

program	khoca
calculation #	91
input	morse l1.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.x0.x0.x0.x0.x0.x0.x0.u1,1

s_2=2

program	khoca
input	PD[X[29,12,0,13],X[13,28,14,29],X[27,14,28,15],X[22,12,23,11],X[10,24,11,23],X[24,10,25,9],X[8,26,9,25],X[26,8,27,7],X[6,16,7,15],X[16,6,17,5],X[4,18,5,17],X[18,4,19,3],X[2,20,3,19],X[20,2,21,1],X[0,22,1,21]]

σ=0

program

snappy

τ=1

program	computehfk
input	prime 2,PD[X[29,12,0,13],X[13,28,14,29],X[27,14,28,15],X[22,12,23,11],X[10,24,11,23],X[24,10,25,9],X[8,26,9,25],X[26,8,27,7],X[6,16,7,15],X[16,6,17,5],X[4,18,5,17],X[18,4,19,3],X[2,20,3,19],X[20,2,21,1],X[0,22,1,21]]

ε=1

program	computehfk
input	prime 2,PD[X[29,12,0,13],X[13,28,14,29],X[27,14,28,15],X[22,12,23,11],X[10,24,11,23],X[24,10,25,9],X[8,26,9,25],X[26,8,27,7],X[6,16,7,15],X[16,6,17,5],X[4,18,5,17],X[18,4,19,3],X[2,20,3,19],X[20,2,21,1],X[0,22,1,21]]

det=1

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=1

reason

lower bound given by tau, upper bound 1 since g(P(p,q,r)) = 1 if p,q,r odd

16n_0771163

comments

unclear whether the ID and pretzel notation are the same knot, or mirror images

metadata

pretzel=9,2,-5

author

Lukas Lewark

ϑ_2=6

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.y0.y0.y0.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.y0.y0.u1,1

ϑ_3=3

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.y0.y0.y0.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.y0.y0.u1,1

ϑ_5=2

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.y0.y0.y0.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.y0.y0.u1,1

ϑ_7=2

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.y0.y0.y0.y0.y0.y0.l3.x2.x2.x2.x2.x2.u1.y0.y0.u1,1

s_2=4

program	khoca
input	PD[X[31,11,0,10],X[9,31,10,30],X[29,9,30,8],X[7,29,8,28],X[27,7,28,6],X[5,27,6,26],X[25,5,26,4],X[3,25,4,24],X[23,3,24,2],X[18,11,19,12],X[12,19,13,20],X[20,13,21,14],X[14,21,15,22],X[22,15,23,16],X[1,16,2,17],X[17,0,18,1]]

σ=-4

program

snappy

τ=2

program	computehfk
input	prime 2,PD[X[31,11,0,10],X[9,31,10,30],X[29,9,30,8],X[7,29,8,28],X[27,7,28,6],X[5,27,6,26],X[25,5,26,4],X[3,25,4,24],X[23,3,24,2],X[18,11,19,12],X[12,19,13,20],X[20,13,21,14],X[14,21,15,22],X[22,15,23,16],X[1,16,2,17],X[17,0,18,1]]

ε=1

program	computehfk
input	prime 2,PD[X[31,11,0,10],X[9,31,10,30],X[29,9,30,8],X[7,29,8,28],X[27,7,28,6],X[5,27,6,26],X[25,5,26,4],X[3,25,4,24],X[23,3,24,2],X[18,11,19,12],X[12,19,13,20],X[20,13,21,14],X[14,21,15,22],X[22,15,23,16],X[1,16,2,17],X[17,0,18,1]]

det=37

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=2

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

16n_0783154

metadata

torus=3,8

author

Lukas Lewark

ϑ_2=20

program	khoca
calculation #	101
input	braid [1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2]

ϑ_3=21

program	khoca
calculation #	101
input	braid [1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2]

ϑ_5=19

program	khoca
calculation #	101
input	braid [1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2]

s_2=14

reason

s_2 of T(p,q) equals (p-1)(q-1)

σ=-10

program

snappy

τ=7

reason

tau of T(p,q) equals (p-1)(q-1)/2

ε=1

reason

epsilon of T(p,q) equals 1

det=3

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=7

reason

slice genus of T(p,q) equals (p-1)(q-1)/2

16n_0864354

comments

unclear whether the ID and pretzel notation are the same knot, or mirror images

metadata

pretzel=7,5,-4

author

Lukas Lewark

ϑ_2=20

program	khoca
calculation #	54
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1,1

ϑ_3=18

program	khoca
calculation #	54
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1,1

ϑ_5=18

program	khoca
calculation #	54
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1,1

ϑ_7=18

program	khoca
calculation #	54
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.u1,1

s_2=12

program	khoca
input	PD[X[31,11,0,10],X[9,31,10,30],X[29,9,30,8],X[7,29,8,28],X[27,7,28,6],X[5,27,6,26],X[25,5,26,4],X[11,21,12,20],X[21,13,22,12],X[13,23,14,22],X[23,15,24,14],X[15,25,16,24],X[16,4,17,3],X[2,18,3,17],X[18,2,19,1],X[0,20,1,19]]

σ=-12

program

snappy

τ=6

program	computehfk
input	prime 2,PD[X[31,11,0,10],X[9,31,10,30],X[29,9,30,8],X[7,29,8,28],X[27,7,28,6],X[5,27,6,26],X[25,5,26,4],X[11,21,12,20],X[21,13,22,12],X[13,23,14,22],X[23,15,24,14],X[15,25,16,24],X[16,4,17,3],X[2,18,3,17],X[18,2,19,1],X[0,20,1,19]]

ε=1

program	computehfk
input	prime 2,PD[X[31,11,0,10],X[9,31,10,30],X[29,9,30,8],X[7,29,8,28],X[27,7,28,6],X[5,27,6,26],X[25,5,26,4],X[11,21,12,20],X[21,13,22,12],X[13,23,14,22],X[23,15,24,14],X[15,25,16,24],X[16,4,17,3],X[2,18,3,17],X[18,2,19,1],X[0,20,1,19]]

det=13

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=6

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

16n_0996934

comments

unclear whether the ID and pretzel notation are the same knot, or mirror images

metadata

pretzel=7,7,-2

author

Lukas Lewark

ϑ_2=24

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.u1,1

ϑ_3=21

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.u1,1

ϑ_5=20

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.u1,1

ϑ_7=20

program	khoca
calculation #	56
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.u1,1

s_2=14

program	khoca
input	PD[X[31,9,0,8],X[7,31,8,30],X[29,7,30,6],X[5,29,6,28],X[27,5,28,4],X[3,27,4,26],X[25,3,26,2],X[9,19,10,18],X[19,11,20,10],X[11,21,12,20],X[21,13,22,12],X[13,23,14,22],X[23,15,24,14],X[15,25,16,24],X[16,2,17,1],X[0,18,1,17]]

σ=-12

program

snappy

τ=7

program	computehfk
input	prime 2,PD[X[31,9,0,8],X[7,31,8,30],X[29,7,30,6],X[5,29,6,28],X[27,5,28,4],X[3,27,4,26],X[25,3,26,2],X[9,19,10,18],X[19,11,20,10],X[11,21,12,20],X[21,13,22,12],X[13,23,14,22],X[23,15,24,14],X[15,25,16,24],X[16,2,17,1],X[0,18,1,17]]

ε=1

program	computehfk
input	prime 2,PD[X[31,9,0,8],X[7,31,8,30],X[29,7,30,6],X[5,29,6,28],X[27,5,28,4],X[3,27,4,26],X[25,3,26,2],X[9,19,10,18],X[19,11,20,10],X[11,21,12,20],X[21,13,22,12],X[13,23,14,22],X[23,15,24,14],X[15,25,16,24],X[16,2,17,1],X[0,18,1,17]]

det=21

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=7

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

P(11,9,-5)

metadata

pretzel=11,9,-5

author

Lukas Lewark

ϑ_2=4

program	khoca
calculation #	92,106

s_2=-2

program	khoca
input	PD[X[49,14,0,15],X[15,48,16,49],X[47,16,48,17],X[17,46,18,47],X[45,18,46,19],X[19,44,20,45],X[43,20,44,21],X[21,42,22,43],X[41,22,42,23],X[23,40,24,41],X[39,24,40,25],X[13,30,14,31],X[31,12,32,13],X[11,32,12,33],X[33,10,34,11],X[9,34,10,35],X[35,8,36,9],X[7,36,8,37],X[37,6,38,7],X[5,38,6,39],X[4,26,5,25],X[26,4,27,3],X[2,28,3,27],X[28,2,29,1],X[0,30,1,29]]

σ=0

program

snappy

τ=-1

program	computehfk
input	prime 2,PD[X[49,14,0,15],X[15,48,16,49],X[47,16,48,17],X[17,46,18,47],X[45,18,46,19],X[19,44,20,45],X[43,20,44,21],X[21,42,22,43],X[41,22,42,23],X[23,40,24,41],X[39,24,40,25],X[13,30,14,31],X[31,12,32,13],X[11,32,12,33],X[33,10,34,11],X[9,34,10,35],X[35,8,36,9],X[7,36,8,37],X[37,6,38,7],X[5,38,6,39],X[4,26,5,25],X[26,4,27,3],X[2,28,3,27],X[28,2,29,1],X[0,30,1,29]]

ε=-1

program	computehfk
input	prime 2,PD[X[49,14,0,15],X[15,48,16,49],X[47,16,48,17],X[17,46,18,47],X[45,18,46,19],X[19,44,20,45],X[43,20,44,21],X[21,42,22,43],X[41,22,42,23],X[23,40,24,41],X[39,24,40,25],X[13,30,14,31],X[31,12,32,13],X[11,32,12,33],X[33,10,34,11],X[9,34,10,35],X[35,8,36,9],X[7,36,8,37],X[37,6,38,7],X[5,38,6,39],X[4,26,5,25],X[26,4,27,3],X[2,28,3,27],X[28,2,29,1],X[0,30,1,29]]

det=1

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=1

reason

lower bound given by tau, upper bound 1 since g(P(p,q,r)) = 1 if p,q,r odd

P(7,7,-6)

metadata

pretzel=7,7,-6

author

Lukas Lewark

ϑ_3=21

program	khoca
calculation #	65
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.x0.x0.u1,1

ϑ_5=21

program	khoca
calculation #	66
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.x0.x0.u1,1

ϑ_7=21

program	khoca
calculation #	67
input	morse r1.y0.y0.y0.y0.y0.y0.y0.l3.y2.y2.y2.y2.y2.y2.y2.u1.x0.x0.x0.x0.x0.x0.u1,1

s_2=14

program	khoca
input	PD[X[39,13,0,12],X[11,39,12,38],X[37,11,38,10],X[9,37,10,36],X[35,9,36,8],X[7,35,8,34],X[33,7,34,6],X[13,27,14,26],X[27,15,28,14],X[15,29,16,28],X[29,17,30,16],X[17,31,18,30],X[31,19,32,18],X[19,33,20,32],X[20,6,21,5],X[4,22,5,21],X[22,4,23,3],X[2,24,3,23],X[24,2,25,1],X[0,26,1,25]]

σ=-14

program

snappy

τ=7

program	computehfk
input	prime 2,PD[X[39,13,0,12],X[11,39,12,38],X[37,11,38,10],X[9,37,10,36],X[35,9,36,8],X[7,35,8,34],X[33,7,34,6],X[13,27,14,26],X[27,15,28,14],X[15,29,16,28],X[29,17,30,16],X[17,31,18,30],X[31,19,32,18],X[19,33,20,32],X[20,6,21,5],X[4,22,5,21],X[22,4,23,3],X[2,24,3,23],X[24,2,25,1],X[0,26,1,25]]

ε=1

program	computehfk
input	prime 2,PD[X[39,13,0,12],X[11,39,12,38],X[37,11,38,10],X[9,37,10,36],X[35,9,36,8],X[7,35,8,34],X[33,7,34,6],X[13,27,14,26],X[27,15,28,14],X[15,29,16,28],X[29,17,30,16],X[17,31,18,30],X[31,19,32,18],X[19,33,20,32],X[20,6,21,5],X[4,22,5,21],X[22,4,23,3],X[2,24,3,23],X[24,2,25,1],X[0,26,1,25]]

det=35

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=7

reason

lower bound given by tau, upper bound for g_4(P(p,q,2r)) with p,q odd given by |p+q|

T(3,10)

metadata

torus=3,10

author

Lukas Lewark

ϑ_2=24

program	khoca
calculation #	101
input	braid [1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2]

ϑ_3=27

program	khoca
calculation #	103
input	braid [1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2]

s_2=18

reason

s_2 of T(p,q) equals (p-1)(q-1)

σ=-14

program

snappy

τ=9

reason

tau of T(p,q) equals (p-1)(q-1)/2

ε=1

reason

epsilon of T(p,q) equals 1

det=3

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=9

reason

slice genus of T(p,q) equals (p-1)(q-1)/2

T(3,11)

metadata

torus=3,11

author

Lukas Lewark

ϑ_2=28

program	khoca
calculation #	105
input	braid [1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1,2]

s_2=20

reason

s_2 of T(p,q) equals (p-1)(q-1)

σ=-16

program

snappy

τ=10

reason

tau of T(p,q) equals (p-1)(q-1)/2

ε=1

reason

epsilon of T(p,q) equals 1

det=1

program	snappy
date	25 August 2022
added by	Lukas Lewark

amphicheiral=0

reason	amphicheiral knots have s_2=0
date	25 August 2022
added by	Lukas Lewark

Genus-4D=10

reason

slice genus of T(p,q) equals (p-1)(q-1)/2

Name	pretzel	torus	\(\boldsymbol{\vartheta_{0}}\)	\(\boldsymbol{\vartheta_{2}}\)	\(\boldsymbol{\vartheta_{3}}\)	\(\boldsymbol{\vartheta_{5}}\)	\(\boldsymbol{\vartheta_{7}}\)	\(\boldsymbol{\vartheta_{2}}\)-rat	\(\boldsymbol{\vartheta_{3}}\)-rat	\(\boldsymbol{\vartheta_{5}}\)-rat	\(\boldsymbol{s_{2}}\)(2,1-cable)	\(\boldsymbol{s_{3}}\)(2,1-cable)	\(\boldsymbol{s_{5}}\)(2,1-cable)	\(\boldsymbol{s_{2}}\)	\(\boldsymbol{\sigma}\)	\(\boldsymbol{\tau}\)	\(\boldsymbol{\varepsilon}\)	det	2bridge	amphicheiral	Genus-4D	Genus-3D
03_1ᶜ		2,3	3	4	3	3	3	0	0	0	4	4	4	2	-2	1	1	3	3/1	0	1	1
04_1			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	5	5/2	1	1	1
05_1		2,5	6	8	6	6	6	0	0	0	8	8	8	4	-4	2	1	5	5/1	0	2	2
05_2			3	4	3	3	3	0	0	0	4	4	4	2	-2	1	1	7	7/3	0	1	1
06_1			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	9	9/7	0	0	1
06_2			3	4	3	3	3	0	0	0	4	4	4	2	-2	1	1	11	11/4	0	1	2
06_3			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	13	13/5	1	1	2
07_1			9	12	9	9	9	0	0	0	12	12	12	6	-6	3	1	7	7/1	0	3	3
07_2			3	4	3	3	3	0	0	0	4	4	4	2	-2	1	1	11	11/5	0	1	1
07_3			6	8	6	6	6	0	0	0	8	8	8	4	-4	2	1	13	13/9	0	2	2
07_4			3	4	3	3	3	0	0	0	4	4	4	2	-2	1	1	15	15/11	0	1	1
07_5			6	8	6	6	6	0	0	0	8	8	8	4	-4	2	1	17	17/7	0	2	2
07_6			3	4	3	3	3	0	0	0	4	4	4	2	-2	1	1	19	19/7	0	1	2
07_7			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	21	21/8	0	1	2
08_01			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	13	13/11	0	1	1
08_02			6	8	6	6	6	0	0	0	8	8	8	4	-4	2	1	17	17/6	0	2	3
08_03			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	17	17/4	1	1	1
08_04			-3	-4	-3	-3	-3	0	0	0	-2	-2	-2	-2	2	-1	-1	19	19/14	0	1	2
08_05			6	8	6	6	6	0	0	0	8	8	8	4	-4	2	1	21	no	0	2	3
08_06			3	4	3	3	3	0	0	0	4	4	4	2	-2	1	1	23	23/10	0	1	2
08_07			-3	-4	-3	-3	-3	0	0	0	-2	-2	-2	-2	2	-1	-1	23	23/9	0	1	3
08_08			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	25	25/9	0	0	2
08_09			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	25	25/7	1	0	3
08_10			-3	-4	-3	-3	-3	0	0	0	-2	-2	-2	-2	2	-1	-1	27	no	0	1	3
08_11			3	4	3	3	3	0	0	0	4	4	4	2	-2	1	1	27	27/10	0	1	2
08_12			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	29	29/12	1	1	2
08_13			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	29	29/11	0	1	2
08_14			3	4	3	3	3	0	0	0	4	4	4	2	-2	1	1	31	31/12	0	1	2
08_15			6	8	6	6	6	0	0	0				4	-4	2	1	33	no	0	2	2
08_16			-3	-4	-3	-3	-3	0	0	0				-2	2	-1	-1	35	no	0	1	3
08_17			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	37	no	1	1	3
08_18			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	45	no	1	1	3
08_19ᶜ	3,3,-2	3,4	8	8	9	8	8	0	0	0	12	12		6	-6	3	1	3	no	0	3	3
08_20			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	9	no	0	0	2
08_21			3	4	3	3	3	0	0	0				2	-2	1	1	15	no	0	1	2
09_01			12	16	12	12	12	0	0	0				8	-8	4	1	9	9/1	0	4	4
09_02			3	4	3	3	3	0	0	0				2	-2	1	1	15	15/7	0	1	1
09_03			9	12	9	9	9	0	0	0				6	-6	3	1	19	19/13	0	3	3
09_04			6	8	6	6	6	0	0	0				4	-4	2	1	21	21/5	0	2	2
09_05			3	4	3	3	3	0	0	0				2	-2	1	1	23	23/17	0	1	1
09_06			9	12	9	9	9	0	0	0				6	-6	3	1	27	27/5	0	3	3
09_07			6	8	6	6	6	0	0	0				4	-4	2	1	29	29/13	0	2	2
09_08			3	4	3	3	3	0	0	0				2	-2	1	1	31	31/11	0	1	2
09_09			9	12	9	9	9	0	0	0				6	-6	3	1	31	31/9	0	3	3
09_10			6	8	6	6	6	0	0	0				4	-4	2	1	33	33/23	0	2	2
09_11			-6	-8	-6	-6	-6	0	0	0				-4	4	-2	-1	33	33/14	0	2	3
09_12			3	4	3	3	3	0	0	0				2	-2	1	1	35	35/13	0	1	2
09_13			6	8	6	6	6	0	0	0				4	-4	2	1	37	37/27	0	2	2
09_14			0	0	0	0	0	1	1	1				0	0	0	0	37	37/14	0	1	2
09_15			-3	-4	-3	-3	-3	0	0	0				-2	2	-1	-1	39	39/16	0	1	2
09_16			9	12	9	9	9							6	-6	3	1	39	no	0	3	3
09_17			3	4	3	3	3							2	-2	1	1	39	39/14	0	1	3
09_18			6	8	6	6	6							4	-4	2	1	41	41/17	0	2	2
09_19			0	0	0	0	0							0	0	0	0	41	41/16	0	1	2
09_20			6	8	6	6	6							4	-4	2	1	41	41/15	0	2	3
09_21			-3	-4	-3	-3								-2	2	-1	-1	43	43/18	0	1	2
09_22			3	4	3	3								2	-2	1	1	43	no	0	1	3
09_23				8	6	6								4	-4	2	1	45	45/19	0	2	2
09_24				0	0	0								0	0	0	0	45	no	0	1	3
09_25				4										2	-2	1	1	47	no	0	1	2
09_26			-3	-4	-3	-3	-3							-2	2	-1	-1	47	47/18	0	1	3
09_27			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	49	49/19	0	0	3
09_28				4										2	-2	1	1	51	no	0	1	3
09_29														-2	2	-1	-1	51	no	0	1	3
09_30														0	0	0	0	53	no	0	1	3
09_31				4										2	-2	1	1	55	55/21	0	1	3
09_32														-2	2	-1	-1	59	no	0	1	3
09_33														0	0	0	0	61	no	0	1	3
09_34														0	0	0	0	69	no	0	1	3
09_35			3	4	3	3	3							2	-2	1	1	27	no	0	1	1
09_36			-6	-8	-6	-6	-6							-4	4	-2	-1	37	no	0	2	3
09_37														0	0	0	0	45	no	0	1	2
09_38														4	-4	2	1	57	no	0	2	2
09_39														-2	2	-1	-1	55	no	0	1	2
09_40														2	-2	1	1	75	no	0	1	3
09_41			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	49	no	0	0	2
09_42			0	0	0	0	0							0	2	0	0	7	no	0	1	2
09_43			6	8	6	6	6							4	-4	2	1	13	no	0	2	3
09_44			0	0	0	0	0							0	0	0	0	17	no	0	1	2
09_45			-3	-4	-3	-3	-3							-2	2	-1	-1	23	no	0	1	2
09_46			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	9	no	0	0	1
09_47			3	4	3	3	3							2	-2	1	1	27	no	0	1	3
09_48					-3									-2	2	-1	-1	27	no	0	1	2
09_49				8	6	6	6							4	-4	2	1	25	no	0	2	2
10_001														0	0	0	0	17	17/15	0	1	1
10_002														6	-6	3	1	23	23/8	0	3	4
10_003			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	25	25/6	0	0	1
10_004														-2	2	-1	-1	27	27/20	0	1	2
10_005			-6	-8	-6	-6	-6							-4	4	-2	-1	33	33/13	0	2	4
10_006			6	8	6	6	6							4	-4	2	1	37	37/16	0	2	3
10_007														2	-2	1	1	43	43/16	0	1	2
10_008			6	8	6	6	6							4	-4	2	1	29	29/6	0	2	3
10_009			3	4	3	3	3							2	-2	1	1	39	39/28	0	1	4
10_010			0	0	0	0	0							0	0	0	0	45	45/17	0	1	2
10_011			3	4	3	3	3							2	-2	1	1	43	43/13	0	1	2
10_012			-3	-4	-3	-3	-3							-2	2	-1	-1	47	47/17	0	1	3
10_013														0	0	0	0	53	53/22	0	1	2
10_014														4	-4	2	1	57	57/22	0	2	3
10_015														-2	2	-1	-1	43	43/19	0	1	3
10_016														2	-2	1	1	47	47/33	0	1	2
10_017			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	41	41/9	1	1	4
10_018														2	-2	1	1	55	55/23	0	1	2
10_019														2	-2	1	1	51	51/14	0	1	3
10_020														2	-2	1	1	35	35/16	0	1	2
10_021														4	-4	2	1	45	45/16	0	2	3
10_022			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	49	49/36	0	0	3
10_023														-2	2	-1	-1	59	59/23	0	1	3
10_024														2	-2	1	1	55	55/24	0	1	2
10_025														4	-4	2	1	65	65/24	0	2	3
10_026														0	0	0	0	61	61/44	0	1	3
10_027														-2	2	-1	-1	71	71/27	0	1	3
10_028														0	0	0	0	53	53/19	0	1	2
10_029														2	-2	1	1	63	63/26	0	1	3
10_030														2	-2	1	1	67	67/26	0	1	2
10_031														0	0	0	0	57	57/25	0	1	2
10_032														0	0	0	0	69	69/29	0	1	3
10_033			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	65	65/18	1	1	2
10_034														0	0	0	0	37	37/13	0	1	2
10_035			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	49	49/20	0	0	2
10_036														2	-2	1	1	51	51/20	0	1	2
10_037			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	53	53/23	1	1	2
10_038														2	-2	1	1	59	59/25	0	1	2
10_039														4	-4	2	1	61	61/22	0	2	3
10_040														-2	2	-1	-1	75	75/29	0	1	3
10_041														2	-2	1	1	71	71/26	0	1	3
10_042			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	81	81/31	0	0	3
10_043			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	73	73/27	1	1	3
10_044														2	-2	1	1	79	79/30	0	1	3
10_045			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	89	89/34	1	1	3
10_046			9	12	9	9	9							6	-6	3	1	31	no	0	3	4
10_047														-4	4	-2	-1	41	no	0	2	4
10_048			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	49	no	0	0	4
10_049														6	-6	3	1	59	no	0	3	3
10_050														4	-4	2	1	53	no	0	2	3
10_051														-2	2	-1	-1	67	no	0	1	3
10_052														2	-2	1	1	59	no	0	1	3
10_053														4	-4	2	1	73	no	0	2	2
10_054														-2	2	-1	-1	47	no	0	1	3
10_055														4	-4	2	1	61	no	0	2	2
10_056														4	-4	2	1	65	no	0	2	3
10_057														-2	2	-1	-1	79	no	0	1	3
10_058														0	0	0	0	65	no	0	1	2
10_059														2	-2	1	1	75	no	0	1	3
10_060														0	0	0	0	85	no	0	1	3
10_061														4	-4	2	1	33	no	0	2	3
10_062														-4	4	-2	-1	45	no	0	2	4
10_063														4	-4	2	1	57	no	0	2	2
10_064														2	-2	1	1	51	no	0	1	4
10_065														-2	2	-1	-1	63	no	0	1	3
10_066														6	-6	3	1	75	no	0	3	3
10_067														2	-2	1	1	63	no	0	1	2
10_068														0	0	0	0	57	no	0	1	2
10_069														-2	2	-1	-1	87	no	0	1	3
10_070														-2	2	-1	-1	67	no	0	1	3
10_071														0	0	0	0	77	no	0	1	3
10_072														4	-4	2	1	73	no	0	2	3
10_073														-2	2	-1	-1	83	no	0	1	3
10_074														2	-2	1	1	63	no	0	1	2
10_075			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	81	no	0	0	3
10_076														4	-4	2	1	57	no	0	2	3
10_077														-2	2	-1	-1	63	no	0	1	3
10_078														4	-4	2	1	69	no	0	2	3
10_079			0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	61	no	1	1	4
10_080														6	-6	3	1	71	no	0	3	3
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10_165				-4										-2	2	-1	-1	39	no	0	1	2
11a_367		2,11	15											10	-10	10	1	11	11/1	0	5
11n_077				12	12	11	11							8	-6	4	1	27	no	0	4
12n_0233	3,2,-7			-8	-6	-6	-6							-4	4	-2	-1	29	no	0	2
12n_0235	3,-2,-7			-8	-5	-5	-5							-4	4	-2	-1	13	no	0	2
12n_0242	7,3,-2			16	15	14	14							10	-8	5	1	1	no	0	5
12n_0474	5,3,-4			16	12	12	12							8	-8	4	1	17	no	0	4
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12n_0522	4,3,-5			-4	-3	-3	-3							-2	2	-1	-1	23	no	0	1
12n_0725	5,5,-2			16	15	14	14							10	-8	5	1	5	no	0	5
14n_06004	3,2,-9			-12	-9	-9	-9							-6	6	-3	-1	39		0	3
14n_06006	3,-2,-9			-12	-8	-8	-8							-6	6	-3	-1	15		0	3
14n_06022	9,3,-2			20	18	17	17							12	-10	6	1	3		0	6
14n_21316	5,2,-7			-4	-3	-3	-3							-2	2	-1	-1	39		0	1
14n_21318	5,-2,-7			-4	-2	-2	-2							-2	2	-1	-1	31		0	1
14n_21324	7,5,-2			20	18	17	17							12	-10	6	1	11		0	6
14n_21881		3,7		16	18	16								12	-8	6	1	1		0	6
14n_24552	5,5,-4		15	16	15	15	15							10	-10	5	1	15		0	5
14n_24553	5,-4,-5		0	0	0	0	0	1	1	1	0	0	0	0	0	0	0	25		0	0
15n_041185		4,5		16	15	15	15							12	-8	6	1	5		0	6
15n_113775	3,-5,-7		3	4	3	3	3							2	0	1	1	1		0	1
16n_0771163ᶜ	9,2,-5			6	3	2	2							4	-4	2	1	37		0	2
16n_0783154		3,8		20	21	19								14	-10	7	1	3		0	7
16n_0864354ᶜ	7,5,-4			20	18	18	18							12	-12	6	1	13		0	6
16n_0996934ᶜ	7,7,-2			24	21	20	20							14	-12	7	1	21		0	7
P(11,9,-5)	11,9,-5			4										-2	0	-1	-1	1		0	1
P(7,7,-6)	7,7,-6				21	21	21							14	-14	7	1	35		0	7
T(3,10)		3,10		24	27									18	-14	9	1	3		0	9
T(3,11)		3,11		28										20	-16	10	1	1		0	10