12a
1262
(K12a
1262
)
A knot diagram
1
Linearized knot diagam
5 7 9 10 12 11 3 1 4 2 6 8
Solving Sequence
3,9
4 10
1,5
8 7 2 11 6 12
c
3
c
9
c
4
c
8
c
7
c
2
c
10
c
6
c
12
c
1
, c
5
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.70194 × 10
188
u
96
+ 3.19613 × 10
188
u
95
+ ··· + 2.54218 × 10
187
b + 3.85233 × 10
188
,
2.54426 × 10
188
u
96
− 1.10013 × 10
188
u
95
+ ··· + 2.54218 × 10
187
a − 8.55554 × 10
188
, u
97
− 50u
95
+ ··· − 4u − 1i
I
u
2
= h−592u
24
− 394u
23
+ ··· + 559b − 776, −25u
24
+ 684u
23
+ ··· + 559a + 564,
u
25
− 14u
23
+ ··· + 2u
2
− 1i
I
u
3
= hb, a − 1, u + 1i
* 3 irreducible components of dim
C
= 0, with total 123 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
= h−2.70 × 10
188
u
96
+ 3.20 × 10
188
u
95
+ · · · + 2.54 × 10
187
b + 3.85 ×
10
188
, 2.54 × 10
188
u
96
− 1.10 × 10
188
u
95
+ · · · + 2.54 × 10
187
a − 8.56 ×
10
188
, u
97
− 50u
95
+ · · · − 4u − 1i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
10
=
u
−u
3
+ u
a
1
=
−10.0082u
96
+ 4.32750u
95
+ ··· + 48.6803u + 33.6544
10.6285u
96
− 12.5724u
95
+ ··· − 17.7846u − 15.1536
a
5
=
−u
2
+ 1
u
4
− 2u
2
a
8
=
12.5922u
96
− 1.77202u
95
+ ··· + 14.2481u − 46.7205
4.63659u
96
− 4.60135u
95
+ ··· − 6.79228u − 8.49313
a
7
=
7.95562u
96
+ 2.82932u
95
+ ··· + 21.0403u − 38.2274
4.63659u
96
− 4.60135u
95
+ ··· − 6.79228u − 8.49313
a
2
=
−16.6625u
96
+ 13.0338u
95
+ ··· + 57.8871u + 41.2971
9.78142u
96
− 11.3527u
95
+ ··· − 14.9995u − 14.6073
a
11
=
9.03230u
96
− 6.50457u
95
+ ··· + 2.34776u − 16.4773
−1.79403u
96
+ 3.98873u
95
+ ··· + 18.6428u − 5.18379
a
6
=
−1.45738u
96
+ 13.6162u
95
+ ··· + 10.2044u − 23.8542
0.372455u
96
− 4.69082u
95
+ ··· + 3.81710u + 9.83895
a
12
=
−3.88855u
96
+ 12.2474u
95
+ ··· − 4.60422u − 15.8760
2.97130u
96
− 1.96134u
95
+ ··· + 0.369519u − 9.54574
(ii) Obstruction class = −1
(iii) Cusp Shapes = 6.91455u
96
− 6.40239u
95
+ ··· − 108.420u + 0.833440
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
97
+ 8u
96
+ ··· + 12842088u − 1859089
c
2
, c
7
u
97
+ u
96
+ ··· − 10909u − 1781
c
3
, c
4
, c
9
u
97
− 50u
95
+ ··· − 4u + 1
c
5
, c
6
, c
11
u
97
− u
96
+ ··· + 44u − 1
c
8
, c
12
u
97
+ u
96
+ ··· + 231u − 43
c
10
u
97
− 6u
96
+ ··· − 51370688u + 9617432
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
97
+ 32y
96
+ ··· − 39674367994840y −3456211909921
c
2
, c
7
y
97
− 85y
96
+ ··· + 551971y −3171961
c
3
, c
4
, c
9
y
97
− 100y
96
+ ··· + 80y −1
c
5
, c
6
, c
11
y
97
+ 103y
96
+ ··· + 2246y −1
c
8
, c
12
y
97
− 47y
96
+ ··· + 27905y −1849
c
10
y
97
− 54y
96
+ ··· + 2993028924913184y −92494998274624
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.392511 + 0.929569I
a = −0.119570 − 1.045380I
b = −0.80861 − 1.61190I
1.66027 + 2.03268I 0
u = 0.392511 − 0.929569I
a = −0.119570 + 1.045380I
b = −0.80861 + 1.61190I
1.66027 − 2.03268I 0
u = 0.517075 + 0.869044I
a = −0.003713 − 1.342650I
b = −0.76665 − 1.62978I
8.2073 + 12.3283I 0
u = 0.517075 − 0.869044I
a = −0.003713 + 1.342650I
b = −0.76665 + 1.62978I
8.2073 − 12.3283I 0
u = −0.495647 + 0.905002I
a = 0.002226 + 1.194820I
b = −0.79748 + 1.60970I
1.27001 − 7.95601I 0
u = −0.495647 − 0.905002I
a = 0.002226 − 1.194820I
b = −0.79748 − 1.60970I
1.27001 + 7.95601I 0
u = −0.956296
a = 0.992260
b = 0.0790206
1.64464 0
u = 0.877270 + 0.316407I
a = 1.263720 + 0.169632I
b = 0.380432 − 0.262755I
6.91275 + 0.04134I 0
u = 0.877270 − 0.316407I
a = 1.263720 − 0.169632I
b = 0.380432 + 0.262755I
6.91275 − 0.04134I 0
u = 0.683668 + 0.839515I
a = −1.001000 + 0.353649I
b = −0.093482 + 1.226850I
8.65876 − 6.63877I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.683668 − 0.839515I
a = −1.001000 − 0.353649I
b = −0.093482 − 1.226850I
8.65876 + 6.63877I 0
u = −1.046750 + 0.387787I
a = 0.830817 + 0.465873I
b = −1.275660 + 0.578401I
1.30768 − 4.06870I 0
u = −1.046750 − 0.387787I
a = 0.830817 − 0.465873I
b = −1.275660 − 0.578401I
1.30768 + 4.06870I 0
u = −0.803486 + 0.809664I
a = −0.799371 − 0.188894I
b = 0.102850 − 1.189290I
2.11438 + 2.11101I 0
u = −0.803486 − 0.809664I
a = −0.799371 + 0.188894I
b = 0.102850 + 1.189290I
2.11438 − 2.11101I 0
u = 0.716315 + 0.458579I
a = −0.678169 − 0.485281I
b = 0.189753 + 0.681947I
3.34504 + 3.10873I 0
u = 0.716315 − 0.458579I
a = −0.678169 + 0.485281I
b = 0.189753 − 0.681947I
3.34504 − 3.10873I 0
u = −0.325366 + 0.768932I
a = −0.347414 + 1.034470I
b = −0.88331 + 1.57712I
9.59958 + 1.86764I 0
u = −0.325366 − 0.768932I
a = −0.347414 − 1.034470I
b = −0.88331 − 1.57712I
9.59958 − 1.86764I 0
u = −0.550305 + 0.584327I
a = −1.308720 + 0.502260I
b = −0.111757 − 0.693519I
10.46470 − 6.14501I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.550305 − 0.584327I
a = −1.308720 − 0.502260I
b = −0.111757 + 0.693519I
10.46470 + 6.14501I 0
u = 1.100200 + 0.482089I
a = −0.416480 + 0.017263I
b = 0.574249 + 1.010610I
3.52627 + 3.19540I 0
u = 1.100200 − 0.482089I
a = −0.416480 − 0.017263I
b = 0.574249 − 1.010610I
3.52627 − 3.19540I 0
u = −0.243053 + 0.760250I
a = −0.243045 − 1.030570I
b = −0.251134 − 1.287460I
−1.015240 − 0.183094I 0
u = −0.243053 − 0.760250I
a = −0.243045 + 1.030570I
b = −0.251134 + 1.287460I
−1.015240 + 0.183094I 0
u = −0.791904
a = 0.492993
b = 0.408603
1.76659 4.39970
u = 1.201880 + 0.204437I
a = 1.081130 − 0.254004I
b = −0.088372 − 0.657946I
6.14799 − 0.06988I 0
u = 1.201880 − 0.204437I
a = 1.081130 + 0.254004I
b = −0.088372 + 0.657946I
6.14799 + 0.06988I 0
u = −0.513924 + 0.546832I
a = −0.66835 − 1.56434I
b = 0.06080 − 1.53310I
2.59000 − 6.18410I 0. + 7.72471I
u = −0.513924 − 0.546832I
a = −0.66835 + 1.56434I
b = 0.06080 + 1.53310I
2.59000 + 6.18410I 0. − 7.72471I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.401661 + 0.627624I
a = −0.44051 + 1.41922I
b = −0.005207 + 1.397150I
−2.91966 + 3.56075I −4.59067 − 7.53774I
u = 0.401661 − 0.627624I
a = −0.44051 − 1.41922I
b = −0.005207 − 1.397150I
−2.91966 − 3.56075I −4.59067 + 7.53774I
u = 0.150843 + 0.673891I
a = 0.93490 + 1.77588I
b = 0.404953 + 1.053890I
4.56787 + 3.56494I 2.44341 − 4.16831I
u = 0.150843 − 0.673891I
a = 0.93490 − 1.77588I
b = 0.404953 − 1.053890I
4.56787 − 3.56494I 2.44341 + 4.16831I
u = −1.338310 + 0.105917I
a = 0.169241 − 0.234126I
b = 0.68393 − 2.15273I
11.86780 − 4.11142I 0
u = −1.338310 − 0.105917I
a = 0.169241 + 0.234126I
b = 0.68393 + 2.15273I
11.86780 + 4.11142I 0
u = −1.332670 + 0.225256I
a = −0.515937 − 0.983329I
b = 0.72756 − 1.49575I
9.19442 − 6.78558I 0
u = −1.332670 − 0.225256I
a = −0.515937 + 0.983329I
b = 0.72756 + 1.49575I
9.19442 + 6.78558I 0
u = 0.610795 + 0.215697I
a = 1.62885 − 0.54028I
b = −0.476611 − 0.383178I
−2.13893 − 0.04002I −4.97568 − 0.42696I
u = 0.610795 − 0.215697I
a = 1.62885 + 0.54028I
b = −0.476611 + 0.383178I
−2.13893 + 0.04002I −4.97568 + 0.42696I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.388169 + 0.507048I
a = 1.068570 + 0.795802I
b = 0.349033 + 0.384938I
6.17606 + 1.67369I 5.38929 − 3.79656I
u = 0.388169 − 0.507048I
a = 1.068570 − 0.795802I
b = 0.349033 − 0.384938I
6.17606 − 1.67369I 5.38929 + 3.79656I
u = 1.362710 + 0.041017I
a = 0.457730 + 0.323553I
b = −0.196610 + 1.390290I
4.56809 + 2.43963I 0
u = 1.362710 − 0.041017I
a = 0.457730 − 0.323553I
b = −0.196610 − 1.390290I
4.56809 − 2.43963I 0
u = 1.361750 + 0.174491I
a = −0.649756 + 0.791631I
b = 0.81332 + 1.43734I
3.74574 + 5.39311I 0
u = 1.361750 − 0.174491I
a = −0.649756 − 0.791631I
b = 0.81332 − 1.43734I
3.74574 − 5.39311I 0
u = −1.382410 + 0.042738I
a = −1.129430 − 0.437054I
b = 1.28519 − 0.75019I
5.93004 − 3.76358I 0
u = −1.382410 − 0.042738I
a = −1.129430 + 0.437054I
b = 1.28519 + 0.75019I
5.93004 + 3.76358I 0
u = −1.384110 + 0.043348I
a = 0.650415 + 0.487842I
b = −0.201190 + 0.900288I
3.14340 − 0.85093I 0
u = −1.384110 − 0.043348I
a = 0.650415 − 0.487842I
b = −0.201190 − 0.900288I
3.14340 + 0.85093I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.39037
a = −1.23778
b = 1.46125
2.49868 0
u = −1.391980 + 0.158735I
a = 0.100387 − 0.485388I
b = 0.72084 − 1.52107I
11.85160 − 4.06119I 0
u = −1.391980 − 0.158735I
a = 0.100387 + 0.485388I
b = 0.72084 + 1.52107I
11.85160 + 4.06119I 0
u = −1.404570 + 0.076611I
a = −0.898301 − 0.494541I
b = 1.35458 − 1.22527I
6.02793 − 3.69113I 0
u = −1.404570 − 0.076611I
a = −0.898301 + 0.494541I
b = 1.35458 + 1.22527I
6.02793 + 3.69113I 0
u = −0.132997 + 0.573960I
a = 0.65531 − 1.97402I
b = 0.321499 − 1.085960I
−0.97351 − 2.75732I −4.82575 + 8.33321I
u = −0.132997 − 0.573960I
a = 0.65531 + 1.97402I
b = 0.321499 + 1.085960I
−0.97351 + 2.75732I −4.82575 − 8.33321I
u = 1.40426 + 0.26771I
a = −0.410691 + 0.402399I
b = 0.70194 + 1.43695I
4.24241 + 3.85882I 0
u = 1.40426 − 0.26771I
a = −0.410691 − 0.402399I
b = 0.70194 − 1.43695I
4.24241 − 3.85882I 0
u = 1.44130 + 0.06652I
a = 0.627350 − 0.730719I
b = −0.114820 − 0.692209I
7.66651 + 4.00515I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.44130 − 0.06652I
a = 0.627350 + 0.730719I
b = −0.114820 + 0.692209I
7.66651 − 4.00515I 0
u = 1.46086 + 0.04805I
a = −0.706200 + 0.322554I
b = 2.23923 + 1.84773I
14.1239 + 4.2828I 0
u = 1.46086 − 0.04805I
a = −0.706200 − 0.322554I
b = 2.23923 − 1.84773I
14.1239 − 4.2828I 0
u = −0.180339 + 0.500258I
a = 1.40247 + 2.14088I
b = 0.128546 + 0.990895I
1.97762 + 2.85321I −0.200970 − 0.751746I
u = −0.180339 − 0.500258I
a = 1.40247 − 2.14088I
b = 0.128546 − 0.990895I
1.97762 − 2.85321I −0.200970 + 0.751746I
u = −1.48504 + 0.21762I
a = −0.618268 − 0.448163I
b = 0.60007 − 1.69299I
3.25478 − 6.63468I 0
u = −1.48504 − 0.21762I
a = −0.618268 + 0.448163I
b = 0.60007 + 1.69299I
3.25478 + 6.63468I 0
u = 1.48101 + 0.32726I
a = 0.578234 − 0.537626I
b = −1.90280 − 1.38057I
15.4077 + 2.2364I 0
u = 1.48101 − 0.32726I
a = 0.578234 + 0.537626I
b = −1.90280 + 1.38057I
15.4077 − 2.2364I 0
u = 1.51386 + 0.20415I
a = −0.503237 − 0.825710I
b = −0.142036 − 0.118423I
17.1935 + 9.0667I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.51386 − 0.20415I
a = −0.503237 + 0.825710I
b = −0.142036 + 0.118423I
17.1935 − 9.0667I 0
u = 1.52605 + 0.18848I
a = −0.681431 + 0.462774I
b = 0.50855 + 1.92800I
9.33767 + 8.91307I 0
u = 1.52605 − 0.18848I
a = −0.681431 − 0.462774I
b = 0.50855 − 1.92800I
9.33767 − 8.91307I 0
u = −1.53416 + 0.17186I
a = −0.341778 + 0.756979I
b = −0.0213288 + 0.1309320I
10.57890 − 5.57061I 0
u = −1.53416 − 0.17186I
a = −0.341778 − 0.756979I
b = −0.0213288 − 0.1309320I
10.57890 + 5.57061I 0
u = −1.52575 + 0.33643I
a = 0.649297 + 0.568102I
b = −1.62171 + 1.39665I
7.92678 − 6.63363I 0
u = −1.52575 − 0.33643I
a = 0.649297 − 0.568102I
b = −1.62171 − 1.39665I
7.92678 + 6.63363I 0
u = −0.182198 + 0.392200I
a = 0.710195 − 0.432768I
b = −0.059492 − 0.273027I
0.012814 − 0.936442I 0.29566 + 7.06424I
u = −0.182198 − 0.392200I
a = 0.710195 + 0.432768I
b = −0.059492 + 0.273027I
0.012814 + 0.936442I 0.29566 − 7.06424I
u = 1.53921 + 0.32022I
a = 0.682901 − 0.623110I
b = −1.45925 − 1.51069I
7.8766 + 12.4041I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.53921 − 0.32022I
a = 0.682901 + 0.623110I
b = −1.45925 + 1.51069I
7.8766 − 12.4041I 0
u = −1.54203 + 0.31217I
a = 0.684051 + 0.676400I
b = −1.38375 + 1.64674I
14.8900 − 16.6481I 0
u = −1.54203 − 0.31217I
a = 0.684051 − 0.676400I
b = −1.38375 − 1.64674I
14.8900 + 16.6481I 0
u = 1.59203 + 0.14409I
a = −0.230570 − 0.515521I
b = 0.174407 − 0.058244I
10.48800 + 1.02584I 0
u = 1.59203 − 0.14409I
a = −0.230570 + 0.515521I
b = 0.174407 + 0.058244I
10.48800 − 1.02584I 0
u = −1.62581 + 0.01418I
a = 0.419330 − 0.220629I
b = 0.843645 − 0.252449I
15.4814 − 0.8320I 0
u = −1.62581 − 0.01418I
a = 0.419330 + 0.220629I
b = 0.843645 + 0.252449I
15.4814 + 0.8320I 0
u = 1.63737
a = 0.260472
b = 0.713002
10.1799 0
u = −1.64970 + 0.21614I
a = −0.442188 + 0.321128I
b = 0.180845 − 0.244529I
16.5948 + 2.6341I 0
u = −1.64970 − 0.21614I
a = −0.442188 − 0.321128I
b = 0.180845 + 0.244529I
16.5948 − 2.6341I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.287266 + 0.021195I
a = 4.04710 + 2.33903I
b = 0.098265 − 0.156070I
1.85478 − 3.25063I 5.35640 − 3.85765I
u = −0.287266 − 0.021195I
a = 4.04710 − 2.33903I
b = 0.098265 + 0.156070I
1.85478 + 3.25063I 5.35640 + 3.85765I
u = 0.146471 + 0.216290I
a = −0.91999 + 3.68729I
b = 0.82152 + 1.15624I
0.89546 + 2.62228I 5.20511 − 7.14714I
u = 0.146471 − 0.216290I
a = −0.91999 − 3.68729I
b = 0.82152 − 1.15624I
0.89546 − 2.62228I 5.20511 + 7.14714I
u = −0.231454 + 0.076327I
a = −2.30597 − 2.27009I
b = 1.36845 − 1.85097I
8.34373 − 3.70807I 7.4954 + 13.2498I
u = −0.231454 − 0.076327I
a = −2.30597 + 2.27009I
b = 1.36845 + 1.85097I
8.34373 + 3.70807I 7.4954 − 13.2498I
u = 0.159338
a = 7.96376
b = 0.391736
−1.99953 −7.84940
14
II. I
u
2
= h−592u
24
− 394u
23
+ · · · + 559b − 776, −25u
24
+ 684u
23
+ · · · +
559a + 564, u
25
− 14u
23
+ · · · + 2u
2
− 1i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
10
=
u
−u
3
+ u
a
1
=
0.0447227u
24
− 1.22361u
23
+ ··· − 0.998211u − 1.00894
1.05903u
24
+ 0.704830u
23
+ ··· + 0.522361u + 1.38819
a
5
=
−u
2
+ 1
u
4
− 2u
2
a
8
=
−0.164580u
24
− 0.177102u
23
+ ··· − 3.48658u + 0.432916
−0.223614u
24
− 0.881932u
23
+ ··· − 0.00894454u + 0.0447227
a
7
=
0.0590340u
24
+ 0.704830u
23
+ ··· − 3.47764u + 0.388193
−0.223614u
24
− 0.881932u
23
+ ··· − 0.00894454u + 0.0447227
a
2
=
−0.132379u
24
− 1.33810u
23
+ ··· − 1.56530u − 1.17352
0.177102u
24
+ 0.114490u
23
+ ··· + 0.567084u + 1.16458
a
11
=
2.16637u
24
− 0.831843u
23
+ ··· − 3.07335u + 0.366726
0.00715564u
24
+ 0.964222u
23
+ ··· + 0.760286u + 0.198569
a
6
=
2.25760u
24
− 2.28801u
23
+ ··· − 2.62970u − 2.85152
2.01789u
24
− 0.0894454u
23
+ ··· − 2.59928u − 1.00358
a
12
=
−0.765653u
24
+ 2.82826u
23
+ ··· + 6.64937u − 0.246869
1.05903u
24
+ 0.704830u
23
+ ··· + 0.522361u + 0.388193
(ii) Obstruction class = 1
(iii) Cusp Shapes =
2287
559
u
24
+
3658
559
u
23
+ ··· +
6956
559
u +
4350
559
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
25
− u
22
+ ··· − 6u
2
+ 1
c
2
u
25
+ u
24
+ ··· + u + 1
c
3
, c
4
u
25
− 14u
23
+ ··· + 2u
2
− 1
c
5
, c
6
u
25
+ 14u
23
+ ··· + 3u
2
+ 1
c
7
u
25
− u
24
+ ··· + u − 1
c
8
u
25
− u
24
+ ··· + u − 1
c
9
u
25
− 14u
23
+ ··· − 2u
2
+ 1
c
10
u
25
− 3u
23
+ ··· − 4u
2
+ 1
c
11
u
25
+ 14u
23
+ ··· − 3u
2
− 1
c
12
u
25
+ u
24
+ ··· + u + 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
25
+ 13y
22
+ ··· + 12y −1
c
2
, c
7
y
25
− 25y
24
+ ··· + 19y −1
c
3
, c
4
, c
9
y
25
− 28y
24
+ ··· + 4y −1
c
5
, c
6
, c
11
y
25
+ 28y
24
+ ··· − 6y −1
c
8
, c
12
y
25
− 19y
24
+ ··· + 25y −1
c
10
y
25
− 6y
24
+ ··· + 8y −1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.983356 + 0.376182I
a = −0.874238 − 0.601576I
b = 1.48876 − 0.90028I
2.02550 − 4.69221I 5.96816 + 7.37435I
u = −0.983356 − 0.376182I
a = −0.874238 + 0.601576I
b = 1.48876 + 0.90028I
2.02550 + 4.69221I 5.96816 − 7.37435I
u = −0.690235 + 0.480451I
a = 0.928475 + 0.336120I
b = 0.305109 + 1.067130I
1.04640 + 1.18576I 1.13719 − 1.92017I
u = −0.690235 − 0.480451I
a = 0.928475 − 0.336120I
b = 0.305109 − 1.067130I
1.04640 − 1.18576I 1.13719 + 1.92017I
u = 1.23301
a = 1.24274
b = −0.378773
0.824916 −5.75820
u = 0.726869
a = −1.71211
b = 1.22977
−1.27651 5.36070
u = −1.283310 + 0.064854I
a = 1.269030 − 0.389074I
b = −0.456475 − 0.000433I
5.08431 + 2.48498I 3.15917 − 1.16792I
u = −1.283310 − 0.064854I
a = 1.269030 + 0.389074I
b = −0.456475 + 0.000433I
5.08431 − 2.48498I 3.15917 + 1.16792I
u = 0.103314 + 0.697814I
a = 0.42255 + 1.42950I
b = 0.393845 + 1.333890I
−0.35859 + 1.95000I 0.23183 − 2.36196I
u = 0.103314 − 0.697814I
a = 0.42255 − 1.42950I
b = 0.393845 − 1.333890I
−0.35859 − 1.95000I 0.23183 + 2.36196I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.307930 + 0.151342I
a = −0.474523 + 0.415243I
b = 1.70923 + 2.40040I
11.69700 + 4.97752I 6.33584 − 8.05036I
u = 1.307930 − 0.151342I
a = −0.474523 − 0.415243I
b = 1.70923 − 2.40040I
11.69700 − 4.97752I 6.33584 + 8.05036I
u = 1.226230 + 0.509672I
a = 0.647907 − 0.062189I
b = −0.421900 − 0.898680I
2.97522 + 2.51196I 2.82840 + 1.42374I
u = 1.226230 − 0.509672I
a = 0.647907 + 0.062189I
b = −0.421900 + 0.898680I
2.97522 − 2.51196I 2.82840 − 1.42374I
u = −1.378630 + 0.202454I
a = −0.570231 − 0.606582I
b = 0.99203 − 1.59871I
4.37328 − 4.94547I 7.69025 + 5.29639I
u = −1.378630 − 0.202454I
a = −0.570231 + 0.606582I
b = 0.99203 + 1.59871I
4.37328 + 4.94547I 7.69025 − 5.29639I
u = 1.43134 + 0.16649I
a = −0.644133 + 0.814272I
b = 0.597255 + 1.202160I
7.26434 + 5.69807I 5.91435 − 5.91144I
u = 1.43134 − 0.16649I
a = −0.644133 − 0.814272I
b = 0.597255 − 1.202160I
7.26434 − 5.69807I 5.91435 + 5.91144I
u = 0.315501 + 0.302617I
a = 1.43918 − 0.52275I
b = 0.88853 − 1.87331I
8.23308 − 3.29324I 2.38034 − 4.15634I
u = 0.315501 − 0.302617I
a = 1.43918 + 0.52275I
b = 0.88853 + 1.87331I
8.23308 + 3.29324I 2.38034 + 4.15634I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.242224 + 0.333690I
a = −0.37250 − 3.49848I
b = 0.269136 − 0.693288I
1.69740 − 3.66908I −1.30719 + 12.43028I
u = −0.242224 − 0.333690I
a = −0.37250 + 3.49848I
b = 0.269136 + 0.693288I
1.69740 + 3.66908I −1.30719 − 12.43028I
u = −1.61436 + 0.07869I
a = 0.307133 − 0.039961I
b = 0.538324 + 0.974866I
15.3193 + 1.7924I 6.39691 − 3.76121I
u = −1.61436 − 0.07869I
a = 0.307133 + 0.039961I
b = 0.538324 − 0.974866I
15.3193 − 1.7924I 6.39691 + 3.76121I
u = 1.65570
a = 0.312069
b = 0.541317
10.0420 −25.0730
20
III. I
u
3
= hb, a − 1, u + 1i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
−1
a
4
=
1
−1
a
10
=
−1
0
a
1
=
1
0
a
5
=
0
−1
a
8
=
−1
−1
a
7
=
0
−1
a
2
=
1
1
a
11
=
0
1
a
6
=
0
−1
a
12
=
0
−1
(ii) Obstruction class = −1
(iii) Cusp Shapes = 6
21
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
7
, c
8
c
9
, c
12
u − 1
c
5
, c
6
, c
11
u
c
10
u + 1
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
7
, c
8
c
9
, c
10
, c
12
y −1
c
5
, c
6
, c
11
y
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 1.00000
b = 0
1.64493 6.00000
24
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u − 1)(u
25
− u
22
+ ··· − 6u
2
+ 1)
· (u
97
+ 8u
96
+ ··· + 12842088u − 1859089)
c
2
(u − 1)(u
25
+ u
24
+ ··· + u + 1)(u
97
+ u
96
+ ··· − 10909u − 1781)
c
3
, c
4
(u − 1)(u
25
− 14u
23
+ ··· + 2u
2
− 1)(u
97
− 50u
95
+ ··· − 4u + 1)
c
5
, c
6
u(u
25
+ 14u
23
+ ··· + 3u
2
+ 1)(u
97
− u
96
+ ··· + 44u − 1)
c
7
(u − 1)(u
25
− u
24
+ ··· + u − 1)(u
97
+ u
96
+ ··· − 10909u − 1781)
c
8
(u − 1)(u
25
− u
24
+ ··· + u − 1)(u
97
+ u
96
+ ··· + 231u − 43)
c
9
(u − 1)(u
25
− 14u
23
+ ··· − 2u
2
+ 1)(u
97
− 50u
95
+ ··· − 4u + 1)
c
10
(u + 1)(u
25
− 3u
23
+ ··· − 4u
2
+ 1)
· (u
97
− 6u
96
+ ··· − 51370688u + 9617432)
c
11
u(u
25
+ 14u
23
+ ··· − 3u
2
− 1)(u
97
− u
96
+ ··· + 44u − 1)
c
12
(u − 1)(u
25
+ u
24
+ ··· + u + 1)(u
97
+ u
96
+ ··· + 231u − 43)
25
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y −1)(y
25
+ 13y
22
+ ··· + 12y −1)
· (y
97
+ 32y
96
+ ··· − 39674367994840y −3456211909921)
c
2
, c
7
(y −1)(y
25
− 25y
24
+ ··· + 19y −1)
· (y
97
− 85y
96
+ ··· + 551971y −3171961)
c
3
, c
4
, c
9
(y −1)(y
25
− 28y
24
+ ··· + 4y −1)(y
97
− 100y
96
+ ··· + 80y −1)
c
5
, c
6
, c
11
y(y
25
+ 28y
24
+ ··· − 6y −1)(y
97
+ 103y
96
+ ··· + 2246y −1)
c
8
, c
12
(y −1)(y
25
− 19y
24
+ ··· + 25y −1)
· (y
97
− 47y
96
+ ··· + 27905y −1849)
c
10
(y −1)(y
25
− 6y
24
+ ··· + 8y −1)
· (y
97
− 54y
96
+ ··· + 2993028924913184y −92494998274624)
26
