11a
300
(K11a
300
)
A knot diagram
1
Linearized knot diagam
5 10 1 8 2 9 4 11 3 6 7
Solving Sequence
2,10 3,6
11 5 1 9 7 8 4
c
2
c
10
c
5
c
1
c
9
c
6
c
8
c
4
c
3
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.10239 × 10
271
u
95
− 1.29227 × 10
272
u
94
+ ··· + 1.23928 × 10
271
b + 2.12022 × 10
274
,
1.69259 × 10
274
u
95
− 4.36720 × 10
274
u
94
+ ··· + 2.39182 × 10
273
a + 6.71018 × 10
276
,
u
96
+ 32u
94
+ ··· − 1260u − 193i
I
u
2
= h−312425u
19
− 462214u
18
+ ··· + 208363b − 52657,
2692148u
19
+ 2660136u
18
+ ··· + 1041815a + 3674309, u
20
+ u
19
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 116 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h1.10 × 10
271
u
95
− 1.29 × 10
272
u
94
+ · · · + 1.24 × 10
271
b + 2.12 ×
10
274
, 1.69 × 10
274
u
95
− 4.37 × 10
274
u
94
+ · · · + 2.39 × 10
273
a + 6.71 ×
10
276
, u
96
+ 32u
94
+ · · · − 1260u − 193i
(i) Arc colorings
a
2
=
1
0
a
10
=
0
u
a
3
=
1
−u
2
a
6
=
−7.07659u
95
+ 18.2589u
94
+ ··· − 16539.3u − 2805.47
−0.889541u
95
+ 10.4276u
94
+ ··· − 10657.3u − 1710.84
a
11
=
−7.96908u
95
+ 10.7719u
94
+ ··· − 8088.81u − 1484.13
0.381477u
95
+ 4.65214u
94
+ ··· − 5016.46u − 782.330
a
5
=
−7.96613u
95
+ 28.6864u
94
+ ··· − 27196.6u − 4516.31
−0.889541u
95
+ 10.4276u
94
+ ··· − 10657.3u − 1710.84
a
1
=
−4.42194u
95
+ 1.59863u
94
+ ··· − 63.9621u − 122.087
−0.368419u
95
+ 1.21715u
94
+ ··· − 1301.07u − 213.070
a
9
=
−u
u
3
+ u
a
7
=
−10.1408u
95
+ 26.9593u
94
+ ··· − 24457.0u − 4141.68
0.821675u
95
+ 12.0458u
94
+ ··· − 13110.7u − 2053.80
a
8
=
24.0257u
95
− 8.64454u
94
+ ··· − 603.693u + 534.594
6.39239u
95
− 8.97364u
94
+ ··· + 6887.06u + 1253.19
a
4
=
−23.1189u
95
+ 9.51320u
94
+ ··· − 721.295u − 719.317
−6.76103u
95
+ 8.21702u
94
+ ··· − 5918.27u − 1108.98
a
4
=
−23.1189u
95
+ 9.51320u
94
+ ··· − 721.295u − 719.317
−6.76103u
95
+ 8.21702u
94
+ ··· − 5918.27u − 1108.98
(ii) Obstruction class = −1
(iii) Cusp Shapes = 7.10864u
95
+ 21.6510u
94
+ ··· − 27025.5u − 4094.60
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
96
− u
95
+ ··· + 44434u + 5239
c
2
, c
9
u
96
+ 32u
94
+ ··· − 1260u − 193
c
3
u
96
− 9u
95
+ ··· + 371u − 46
c
4
, c
7
u
96
+ u
95
+ ··· + 60u − 101
c
6
u
96
− 4u
95
+ ··· − 45u + 1
c
8
u
96
+ 10u
95
+ ··· + 3240u + 368
c
10
u
96
+ 2u
95
+ ··· − 159407u − 226723
c
11
u
96
− 6u
95
+ ··· − 14458u + 1789
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
96
− 73y
95
+ ··· + 553636226y + 27447121
c
2
, c
9
y
96
+ 64y
95
+ ··· + 1764038y + 37249
c
3
y
96
− y
95
+ ··· + 405435y + 2116
c
4
, c
7
y
96
− 53y
95
+ ··· − 127426y + 10201
c
6
y
96
− 4y
95
+ ··· − 559y + 1
c
8
y
96
− 10y
95
+ ··· + 3636544y + 135424
c
10
y
96
− 36y
95
+ ··· − 374201254849y + 51403318729
c
11
y
96
− 16y
95
+ ··· − 110849866y + 3200521
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.477710 + 0.871860I
a = −1.58702 + 0.33319I
b = 0.579139 + 0.546384I
1.89831 + 4.86756I 0
u = 0.477710 − 0.871860I
a = −1.58702 − 0.33319I
b = 0.579139 − 0.546384I
1.89831 − 4.86756I 0
u = 0.349612 + 0.927401I
a = 0.028575 + 0.982383I
b = 0.443823 − 0.618828I
−0.40537 + 1.96180I 0
u = 0.349612 − 0.927401I
a = 0.028575 − 0.982383I
b = 0.443823 + 0.618828I
−0.40537 − 1.96180I 0
u = −0.150164 + 1.021670I
a = 1.31047 + 0.62522I
b = 0.801587 − 0.111152I
0.829229 + 0.160481I 0
u = −0.150164 − 1.021670I
a = 1.31047 − 0.62522I
b = 0.801587 + 0.111152I
0.829229 − 0.160481I 0
u = −0.006380 + 0.958245I
a = −0.372426 + 0.041323I
b = −2.84025 + 2.76183I
−1.83794 + 0.18273I 0
u = −0.006380 − 0.958245I
a = −0.372426 − 0.041323I
b = −2.84025 − 2.76183I
−1.83794 − 0.18273I 0
u = 1.006110 + 0.273433I
a = 0.044883 − 0.674284I
b = −0.402873 + 0.524513I
5.03978 + 1.15243I 0
u = 1.006110 − 0.273433I
a = 0.044883 + 0.674284I
b = −0.402873 − 0.524513I
5.03978 − 1.15243I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.762249 + 0.575493I
a = 1.147770 − 0.749601I
b = −1.101860 + 0.348699I
0.74726 + 5.71599I 0
u = 0.762249 − 0.575493I
a = 1.147770 + 0.749601I
b = −1.101860 − 0.348699I
0.74726 − 5.71599I 0
u = −0.115793 + 1.054130I
a = −1.68582 + 0.13770I
b = −1.214340 − 0.076228I
−2.85619 − 3.24531I 0
u = −0.115793 − 1.054130I
a = −1.68582 − 0.13770I
b = −1.214340 + 0.076228I
−2.85619 + 3.24531I 0
u = −0.119486 + 1.065540I
a = 2.23374 + 0.04464I
b = 1.151510 + 0.250704I
−0.00337 − 7.83254I 0
u = −0.119486 − 1.065540I
a = 2.23374 − 0.04464I
b = 1.151510 − 0.250704I
−0.00337 + 7.83254I 0
u = −0.096656 + 1.073260I
a = −0.78866 + 1.19330I
b = −1.48118 − 0.18409I
−5.22833 − 2.70073I 0
u = −0.096656 − 1.073260I
a = −0.78866 − 1.19330I
b = −1.48118 + 0.18409I
−5.22833 + 2.70073I 0
u = 0.101676 + 1.075690I
a = 0.444887 + 0.616934I
b = 0.67291 − 1.62907I
−0.605747 − 0.447290I 0
u = 0.101676 − 1.075690I
a = 0.444887 − 0.616934I
b = 0.67291 + 1.62907I
−0.605747 + 0.447290I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.083330 + 1.113740I
a = 0.141414 − 1.204450I
b = 1.263970 + 0.294772I
−5.35019 + 1.42280I 0
u = −0.083330 − 1.113740I
a = 0.141414 + 1.204450I
b = 1.263970 − 0.294772I
−5.35019 − 1.42280I 0
u = −0.861117 + 0.059028I
a = −1.101960 − 0.399619I
b = 1.322520 + 0.148419I
−3.40821 − 0.60971I 0
u = −0.861117 − 0.059028I
a = −1.101960 + 0.399619I
b = 1.322520 − 0.148419I
−3.40821 + 0.60971I 0
u = 0.463157 + 0.690308I
a = 1.207050 + 0.428007I
b = −0.160459 − 0.467180I
0.39402 + 1.56177I 0
u = 0.463157 − 0.690308I
a = 1.207050 − 0.428007I
b = −0.160459 + 0.467180I
0.39402 − 1.56177I 0
u = 0.763821 + 0.888138I
a = −0.929808 + 0.763951I
b = 1.044250 − 0.014042I
−0.0489695 − 0.0733989I 0
u = 0.763821 − 0.888138I
a = −0.929808 − 0.763951I
b = 1.044250 + 0.014042I
−0.0489695 + 0.0733989I 0
u = 0.036681 + 1.172390I
a = −0.282225 − 0.846664I
b = 0.382233 + 0.654066I
−3.96883 + 1.64207I 0
u = 0.036681 − 1.172390I
a = −0.282225 + 0.846664I
b = 0.382233 − 0.654066I
−3.96883 − 1.64207I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.745178 + 0.342343I
a = −0.642571 + 0.754957I
b = −0.686324 − 0.574204I
4.50509 − 2.67262I 0
u = −0.745178 − 0.342343I
a = −0.642571 − 0.754957I
b = −0.686324 + 0.574204I
4.50509 + 2.67262I 0
u = −0.344626 + 1.155090I
a = 0.053249 + 0.640010I
b = 0.391099 − 1.075970I
1.96286 − 1.30339I 0
u = −0.344626 − 1.155090I
a = 0.053249 − 0.640010I
b = 0.391099 + 1.075970I
1.96286 + 1.30339I 0
u = −0.780859 + 0.010223I
a = 1.36580 − 0.70315I
b = −1.178590 + 0.396139I
−2.44931 + 4.41382I 0
u = −0.780859 − 0.010223I
a = 1.36580 + 0.70315I
b = −1.178590 − 0.396139I
−2.44931 − 4.41382I 0
u = −0.735809 + 0.256765I
a = −1.18724 + 0.94156I
b = −0.007951 − 0.889298I
4.54881 + 7.06507I 0
u = −0.735809 − 0.256765I
a = −1.18724 − 0.94156I
b = −0.007951 + 0.889298I
4.54881 − 7.06507I 0
u = −0.410401 + 1.157480I
a = −0.280325 + 0.925021I
b = −0.32162 − 1.39188I
1.76805 − 11.34400I 0
u = −0.410401 − 1.157480I
a = −0.280325 − 0.925021I
b = −0.32162 + 1.39188I
1.76805 + 11.34400I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.384452 + 1.169040I
a = 0.081087 − 0.951266I
b = 0.183037 + 1.035960I
−2.07883 − 6.40543I 0
u = −0.384452 − 1.169040I
a = 0.081087 + 0.951266I
b = 0.183037 − 1.035960I
−2.07883 + 6.40543I 0
u = 1.239660 + 0.026962I
a = 0.830294 + 0.423344I
b = −1.317880 − 0.400449I
0.39090 − 11.66790I 0
u = 1.239660 − 0.026962I
a = 0.830294 − 0.423344I
b = −1.317880 + 0.400449I
0.39090 + 11.66790I 0
u = 0.207707 + 0.729044I
a = 0.11883 − 1.96148I
b = −0.620878 + 0.770619I
2.49221 − 1.38820I 0
u = 0.207707 − 0.729044I
a = 0.11883 + 1.96148I
b = −0.620878 − 0.770619I
2.49221 + 1.38820I 0
u = 0.601578 + 1.098430I
a = −0.101775 − 0.387401I
b = −0.104158 + 0.634763I
2.50058 + 4.48584I 0
u = 0.601578 − 1.098430I
a = −0.101775 + 0.387401I
b = −0.104158 − 0.634763I
2.50058 − 4.48584I 0
u = −0.663968 + 0.300230I
a = −0.540867 − 1.231100I
b = 1.43619 − 0.02619I
−1.17974 − 2.82902I 0
u = −0.663968 − 0.300230I
a = −0.540867 + 1.231100I
b = 1.43619 + 0.02619I
−1.17974 + 2.82902I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.660203 + 0.299314I
a = 1.189050 − 0.630687I
b = 0.107003 + 0.433923I
0.67930 + 2.39127I 0
u = −0.660203 − 0.299314I
a = 1.189050 + 0.630687I
b = 0.107003 − 0.433923I
0.67930 − 2.39127I 0
u = −0.672213 + 1.105820I
a = −0.336516 − 0.738603I
b = 1.382600 − 0.006716I
−5.14389 + 0.01776I 0
u = −0.672213 − 1.105820I
a = −0.336516 + 0.738603I
b = 1.382600 + 0.006716I
−5.14389 − 0.01776I 0
u = 1.329830 + 0.055464I
a = −0.748294 − 0.249633I
b = 1.229010 + 0.240026I
−2.77482 − 5.11934I 0
u = 1.329830 − 0.055464I
a = −0.748294 + 0.249633I
b = 1.229010 − 0.240026I
−2.77482 + 5.11934I 0
u = 0.098167 + 1.330940I
a = 0.436888 + 0.783405I
b = 0.127516 − 0.181825I
−1.31348 + 5.11994I 0
u = 0.098167 − 1.330940I
a = 0.436888 − 0.783405I
b = 0.127516 + 0.181825I
−1.31348 − 5.11994I 0
u = −0.447115 + 1.261890I
a = 0.245321 − 1.357450I
b = 1.41900 + 0.67079I
−6.22408 − 8.95276I 0
u = −0.447115 − 1.261890I
a = 0.245321 + 1.357450I
b = 1.41900 − 0.67079I
−6.22408 + 8.95276I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.362340 + 1.308560I
a = 0.32191 − 1.48442I
b = 1.122860 + 0.174890I
−5.75032 − 4.28762I 0
u = −0.362340 − 1.308560I
a = 0.32191 + 1.48442I
b = 1.122860 − 0.174890I
−5.75032 + 4.28762I 0
u = −0.130104 + 0.628668I
a = 1.30314 − 1.51349I
b = −0.989484 + 0.601204I
1.29886 + 6.55523I 0
u = −0.130104 − 0.628668I
a = 1.30314 + 1.51349I
b = −0.989484 − 0.601204I
1.29886 − 6.55523I 0
u = −0.472576 + 1.291860I
a = −0.176604 + 1.278790I
b = −1.52018 − 0.38581I
−7.44389 − 5.44199I 0
u = −0.472576 − 1.291860I
a = −0.176604 − 1.278790I
b = −1.52018 + 0.38581I
−7.44389 + 5.44199I 0
u = 0.243938 + 1.372430I
a = 0.239432 + 0.742561I
b = 1.56261 − 0.62158I
−5.25019 + 8.77138I 0
u = 0.243938 − 1.372430I
a = 0.239432 − 0.742561I
b = 1.56261 + 0.62158I
−5.25019 − 8.77138I 0
u = −0.58908 + 1.30122I
a = −0.019208 + 0.946271I
b = −1.46087 − 0.15906I
−6.72567 − 4.75540I 0
u = −0.58908 − 1.30122I
a = −0.019208 − 0.946271I
b = −1.46087 + 0.15906I
−6.72567 + 4.75540I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.39153 + 1.37600I
a = −0.519956 + 1.309210I
b = −1.382550 − 0.176450I
−6.28639 − 6.86236I 0
u = −0.39153 − 1.37600I
a = −0.519956 − 1.309210I
b = −1.382550 + 0.176450I
−6.28639 + 6.86236I 0
u = −0.522378 + 0.207279I
a = 0.94119 + 1.52739I
b = −1.127540 + 0.337105I
−1.28698 − 0.73115I 4.34059 + 0.I
u = −0.522378 − 0.207279I
a = 0.94119 − 1.52739I
b = −1.127540 − 0.337105I
−1.28698 + 0.73115I 4.34059 + 0.I
u = −0.237413 + 0.497598I
a = −0.572508 + 1.064460I
b = 0.898613 − 0.409005I
−1.43609 + 1.70978I −3.75375 + 0.93348I
u = −0.237413 − 0.497598I
a = −0.572508 − 1.064460I
b = 0.898613 + 0.409005I
−1.43609 − 1.70978I −3.75375 − 0.93348I
u = 0.272964 + 0.408032I
a = 1.06742 + 1.26038I
b = 0.074964 − 0.469777I
0.406346 + 1.198920I 3.01437 − 6.03071I
u = 0.272964 − 0.408032I
a = 1.06742 − 1.26038I
b = 0.074964 + 0.469777I
0.406346 − 1.198920I 3.01437 + 6.03071I
u = 0.57869 + 1.39729I
a = 0.179334 + 1.178360I
b = 1.52584 − 0.54511I
−3.9614 + 17.9979I 0
u = 0.57869 − 1.39729I
a = 0.179334 − 1.178360I
b = 1.52584 + 0.54511I
−3.9614 − 17.9979I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.13051 + 1.52776I
a = −0.213567 − 0.620488I
b = −1.249880 + 0.498140I
−8.49441 + 1.95871I 0
u = 0.13051 − 1.52776I
a = −0.213567 + 0.620488I
b = −1.249880 − 0.498140I
−8.49441 − 1.95871I 0
u = 0.59416 + 1.41894I
a = −0.102988 − 1.085290I
b = −1.43066 + 0.45897I
−7.19197 + 11.75550I 0
u = 0.59416 − 1.41894I
a = −0.102988 + 1.085290I
b = −1.43066 − 0.45897I
−7.19197 − 11.75550I 0
u = 0.51898 + 1.47406I
a = 0.207200 + 0.855829I
b = 1.151320 − 0.483971I
−0.64154 + 6.80371I 0
u = 0.51898 − 1.47406I
a = 0.207200 − 0.855829I
b = 1.151320 + 0.483971I
−0.64154 − 6.80371I 0
u = 1.58555
a = 0.409866
b = −0.948820
4.87233 0
u = −0.55623 + 1.52426I
a = 0.407315 − 0.689064I
b = 1.364050 + 0.276302I
−2.24244 − 7.86585I 0
u = −0.55623 − 1.52426I
a = 0.407315 + 0.689064I
b = 1.364050 − 0.276302I
−2.24244 + 7.86585I 0
u = 0.44153 + 1.59135I
a = 0.069803 + 0.567365I
b = 1.254110 + 0.048386I
−4.94765 − 5.11148I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.44153 − 1.59135I
a = 0.069803 − 0.567365I
b = 1.254110 − 0.048386I
−4.94765 + 5.11148I 0
u = 0.37156 + 1.61313I
a = −0.122666 − 0.625527I
b = −1.224190 + 0.197566I
−8.68039 + 1.55353I 0
u = 0.37156 − 1.61313I
a = −0.122666 + 0.625527I
b = −1.224190 − 0.197566I
−8.68039 − 1.55353I 0
u = 0.075199 + 0.246020I
a = 0.41097 − 3.47500I
b = −0.499475 + 0.742524I
2.56439 − 1.51823I 3.61769 + 1.58173I
u = 0.075199 − 0.246020I
a = 0.41097 + 3.47500I
b = −0.499475 − 0.742524I
2.56439 + 1.51823I 3.61769 − 1.58173I
u = −1.83778
a = 0.265734
b = −1.18833
3.59541 0
14
II.
I
u
2
= h−3.12 × 10
5
u
19
− 4.62 × 10
5
u
18
+ · · · + 2.08 × 10
5
b − 5.27 × 10
4
, 2.69 ×
10
6
u
19
+ 2.66 × 10
6
u
18
+ · · · + 1.04 × 10
6
a + 3.67 × 10
6
, u
20
+ u
19
+ · · · + 2u − 1i
(i) Arc colorings
a
2
=
1
0
a
10
=
0
u
a
3
=
1
−u
2
a
6
=
−2.58409u
19
− 2.55337u
18
+ ··· + 6.67727u − 3.52683
1.49943u
19
+ 2.21831u
18
+ ··· − 3.14436u + 0.252718
a
11
=
2.32765u
19
+ 0.794396u
18
+ ··· − 13.9361u + 6.04702
−1.19565u
19
− 0.672767u
18
+ ··· + 7.01248u − 1.30306
a
5
=
−1.08467u
19
− 0.335056u
18
+ ··· + 3.53291u − 3.27412
1.49943u
19
+ 2.21831u
18
+ ··· − 3.14436u + 0.252718
a
1
=
−1.30306u
19
− 3.49871u
18
+ ··· + 1.38230u + 4.40635
−u
18
− u
17
+ ··· + 5u
2
− u
a
9
=
−u
u
3
+ u
a
7
=
−2.54387u
19
− 2.17673u
18
+ ··· + 8.99069u − 4.55130
1.65294u
19
+ 2.54102u
18
+ ··· − 4.82518u + 0.940775
a
8
=
−0.213805u
19
+ 2.29666u
18
+ ··· + 8.24658u − 8.45007
0.532088u
19
+ 0.0208569u
18
+ ··· − 6.86136u + 3.15695
a
4
=
1.22126u
19
+ 3.91699u
18
+ ··· + 4.94066u − 7.11246
0.912188u
19
+ 0.525510u
18
+ ··· − 6.39415u + 2.53325
a
4
=
1.22126u
19
+ 3.91699u
18
+ ··· + 4.94066u − 7.11246
0.912188u
19
+ 0.525510u
18
+ ··· − 6.39415u + 2.53325
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
1012942
208363
u
19
−
1169627
208363
u
18
+ ··· −
402660
208363
u +
907180
208363
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
20
− 2u
19
+ ··· − 2u + 1
c
2
u
20
+ u
19
+ ··· + 2u − 1
c
3
u
20
+ 2u
19
+ ··· − 6u − 1
c
4
u
20
− 2u
19
+ ··· + 4u − 1
c
5
u
20
+ 2u
19
+ ··· + 2u + 1
c
6
u
20
− 7u
19
+ ··· + 5u + 1
c
7
u
20
+ 2u
19
+ ··· − 4u − 1
c
8
u
20
+ 3u
19
+ ··· + u + 1
c
9
u
20
− u
19
+ ··· − 2u − 1
c
10
u
20
− u
19
+ ··· − 3u − 1
c
11
u
20
− 3u
19
+ ··· + 6u + 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
20
− 14y
19
+ ··· + 40y
2
+ 1
c
2
, c
9
y
20
+ 11y
19
+ ··· + 8y + 1
c
3
y
20
− 10y
19
+ ··· − 2y + 1
c
4
, c
7
y
20
− 10y
19
+ ··· − 8y + 1
c
6
y
20
− 5y
19
+ ··· − 9y + 1
c
8
y
20
− 19y
19
+ ··· − 15y + 1
c
10
y
20
− y
19
+ ··· − 19y + 1
c
11
y
20
+ 3y
19
+ ··· − 24y + 1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.403364 + 0.887964I
a = 0.935501 − 0.713016I
b = −0.072382 + 0.458417I
2.09458 − 0.02571I 6.51387 − 0.81904I
u = 0.403364 − 0.887964I
a = 0.935501 + 0.713016I
b = −0.072382 − 0.458417I
2.09458 + 0.02571I 6.51387 + 0.81904I
u = 0.013365 + 0.943643I
a = 0.539715 − 0.013239I
b = 1.89857 − 2.14435I
−1.90449 + 0.21781I −29.5538 − 14.4681I
u = 0.013365 − 0.943643I
a = 0.539715 + 0.013239I
b = 1.89857 + 2.14435I
−1.90449 − 0.21781I −29.5538 + 14.4681I
u = 0.518349 + 0.936741I
a = −0.751140 + 0.577664I
b = 0.235460 + 0.265262I
1.69553 + 3.69576I 1.77162 − 1.96947I
u = 0.518349 − 0.936741I
a = −0.751140 − 0.577664I
b = 0.235460 − 0.265262I
1.69553 − 3.69576I 1.77162 + 1.96947I
u = −0.691262 + 0.038386I
a = −1.36790 + 0.79675I
b = 1.211840 − 0.003779I
−2.35457 + 2.06275I −0.52131 − 2.65726I
u = −0.691262 − 0.038386I
a = −1.36790 − 0.79675I
b = 1.211840 + 0.003779I
−2.35457 − 2.06275I −0.52131 + 2.65726I
u = 1.35310
a = 0.156519
b = −0.722511
5.30775 14.8430
u = −0.410763 + 1.297760I
a = −0.39076 + 1.44213I
b = −1.384520 − 0.285041I
−6.31669 − 6.08976I −1.60733 + 2.73564I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.410763 − 1.297760I
a = −0.39076 − 1.44213I
b = −1.384520 + 0.285041I
−6.31669 + 6.08976I −1.60733 − 2.73564I
u = 0.167583 + 0.600695I
a = 2.63765 + 0.00921I
b = −0.848117 + 0.445501I
1.55717 + 7.34738I 4.09988 − 9.89194I
u = 0.167583 − 0.600695I
a = 2.63765 − 0.00921I
b = −0.848117 − 0.445501I
1.55717 − 7.34738I 4.09988 + 9.89194I
u = −0.34366 + 1.48085I
a = 0.545779 − 0.694608I
b = 1.280250 + 0.346035I
−3.05795 − 7.46965I −3.02238 + 6.16209I
u = −0.34366 − 1.48085I
a = 0.545779 + 0.694608I
b = 1.280250 − 0.346035I
−3.05795 + 7.46965I −3.02238 − 6.16209I
u = 0.287244 + 0.337360I
a = −1.69238 − 1.44624I
b = 0.822446 − 0.168895I
−1.03432 + 2.65731I −0.50510 − 5.09226I
u = 0.287244 − 0.337360I
a = −1.69238 + 1.44624I
b = 0.822446 + 0.168895I
−1.03432 − 2.65731I −0.50510 + 5.09226I
u = −0.19147 + 1.60515I
a = −0.190530 + 0.582994I
b = −1.187050 − 0.396760I
−8.22954 − 1.82787I 11.49994 + 0.55574I
u = −0.19147 − 1.60515I
a = −0.190530 − 0.582994I
b = −1.187050 + 0.396760I
−8.22954 + 1.82787I 11.49994 − 0.55574I
u = −1.85860
a = 0.311618
b = −1.19048
3.47385 −31.1940
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
20
− 2u
19
+ ··· − 2u + 1)(u
96
− u
95
+ ··· + 44434u + 5239)
c
2
(u
20
+ u
19
+ ··· + 2u − 1)(u
96
+ 32u
94
+ ··· − 1260u − 193)
c
3
(u
20
+ 2u
19
+ ··· − 6u − 1)(u
96
− 9u
95
+ ··· + 371u − 46)
c
4
(u
20
− 2u
19
+ ··· + 4u − 1)(u
96
+ u
95
+ ··· + 60u − 101)
c
5
(u
20
+ 2u
19
+ ··· + 2u + 1)(u
96
− u
95
+ ··· + 44434u + 5239)
c
6
(u
20
− 7u
19
+ ··· + 5u + 1)(u
96
− 4u
95
+ ··· − 45u + 1)
c
7
(u
20
+ 2u
19
+ ··· − 4u − 1)(u
96
+ u
95
+ ··· + 60u − 101)
c
8
(u
20
+ 3u
19
+ ··· + u + 1)(u
96
+ 10u
95
+ ··· + 3240u + 368)
c
9
(u
20
− u
19
+ ··· − 2u − 1)(u
96
+ 32u
94
+ ··· − 1260u − 193)
c
10
(u
20
− u
19
+ ··· − 3u − 1)(u
96
+ 2u
95
+ ··· − 159407u − 226723)
c
11
(u
20
− 3u
19
+ ··· + 6u + 1)(u
96
− 6u
95
+ ··· − 14458u + 1789)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
20
− 14y
19
+ ··· + 40y
2
+ 1)
· (y
96
− 73y
95
+ ··· + 553636226y + 27447121)
c
2
, c
9
(y
20
+ 11y
19
+ ··· + 8y + 1)(y
96
+ 64y
95
+ ··· + 1764038y + 37249)
c
3
(y
20
− 10y
19
+ ··· − 2y + 1)(y
96
− y
95
+ ··· + 405435y + 2116)
c
4
, c
7
(y
20
− 10y
19
+ ··· − 8y + 1)(y
96
− 53y
95
+ ··· − 127426y + 10201)
c
6
(y
20
− 5y
19
+ ··· − 9y + 1)(y
96
− 4y
95
+ ··· − 559y + 1)
c
8
(y
20
− 19y
19
+ ··· − 15y + 1)
· (y
96
− 10y
95
+ ··· + 3636544y + 135424)
c
10
(y
20
− y
19
+ ··· − 19y + 1)
· (y
96
− 36y
95
+ ··· − 374201254849y + 51403318729)
c
11
(y
20
+ 3y
19
+ ··· − 24y + 1)
· (y
96
− 16y
95
+ ··· − 110849866y + 3200521)
21
