11a
303
(K11a
303
)
A knot diagram
1
Linearized knot diagam
10 6 1 7 2 9 11 5 3 8 4
Solving Sequence
4,11
1
3,8
7 5 10 2 9 6
c
11
c
3
c
7
c
4
c
10
c
1
c
9
c
6
c
2
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.48808 × 10
308
u
95
+ 9.86759 × 10
308
u
94
+ ··· + 4.90698 × 10
310
b + 6.42779 × 10
310
,
− 1.38789 × 10
310
u
95
+ 6.29806 × 10
310
u
94
+ ··· + 1.55551 × 10
313
a + 4.25558 × 10
313
,
u
96
− 6u
95
+ ··· − 1182u + 317i
I
u
2
= h−1523509u
21
+ 574654u
20
+ ··· + 551059b + 558107,
477699u
21
+ 1108403u
20
+ ··· + 551059a + 2614941, u
22
− u
21
+ ··· − 7u + 1i
* 2 irreducible components of dim
C
= 0, with total 118 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−1.49 × 10
308
u
95
+ 9.87 × 10
308
u
94
+ · · · + 4.91 × 10
310
b + 6.43 ×
10
310
, −1.39 × 10
310
u
95
+ 6.30 × 10
310
u
94
+ · · · + 1.56 × 10
313
a + 4.26 ×
10
313
, u
96
− 6u
95
+ · · · − 1182u + 317i
(i) Arc colorings
a
4
=
0
u
a
11
=
1
0
a
1
=
1
u
2
a
3
=
u
u
3
+ u
a
8
=
0.000892242u
95
− 0.00404887u
94
+ ··· − 4.66373u − 2.73581
0.00303257u
95
− 0.0201093u
94
+ ··· + 1.71392u − 1.30993
a
7
=
0.00392481u
95
− 0.0241582u
94
+ ··· − 2.94981u − 4.04573
0.00303257u
95
− 0.0201093u
94
+ ··· + 1.71392u − 1.30993
a
5
=
−0.00516595u
95
+ 0.0454676u
94
+ ··· − 0.212600u − 0.834715
0.00767468u
95
− 0.0509625u
94
+ ··· + 10.9615u − 2.31606
a
10
=
0.000339483u
95
+ 0.0120803u
94
+ ··· − 28.0243u + 3.87884
0.00696670u
95
− 0.0482427u
94
+ ··· + 3.16500u − 1.55323
a
2
=
0.00900256u
95
− 0.0295883u
94
+ ··· + 11.2540u + 2.08466
−0.00505604u
95
+ 0.0152043u
94
+ ··· + 15.2711u − 3.72251
a
9
=
0.00500128u
95
− 0.0143063u
94
+ ··· − 26.3933u + 3.66559
0.00876741u
95
− 0.0603925u
94
+ ··· + 5.19063u − 2.26865
a
6
=
0.00136937u
95
− 0.0219863u
94
+ ··· − 12.9762u − 2.37391
0.00246690u
95
− 0.0106302u
94
+ ··· − 4.64789u + 0.104132
a
6
=
0.00136937u
95
− 0.0219863u
94
+ ··· − 12.9762u − 2.37391
0.00246690u
95
− 0.0106302u
94
+ ··· − 4.64789u + 0.104132
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0250992u
95
+ 0.186713u
94
+ ··· − 78.8891u + 8.37508
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
96
+ 10u
95
+ ··· + 6633u + 3041
c
2
, c
5
u
96
− 3u
95
+ ··· − 94u + 61
c
3
, c
11
u
96
− 6u
95
+ ··· − 1182u + 317
c
4
u
96
− 9u
95
+ ··· − 16879u + 53041
c
6
u
96
− 9u
95
+ ··· − 5684u + 379
c
7
, c
10
u
96
+ 4u
95
+ ··· + 632u + 589
c
8
u
96
+ 3u
95
+ ··· − 246u + 157
c
9
u
96
− 2u
95
+ ··· − 17198u + 3401
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
96
− 32y
95
+ ··· − 121986175y + 9247681
c
2
, c
5
y
96
− 59y
95
+ ··· − 111072y + 3721
c
3
, c
11
y
96
+ 82y
95
+ ··· − 4643204y + 100489
c
4
y
96
+ 37y
95
+ ··· + 73089472791y + 2813347681
c
6
y
96
+ 21y
95
+ ··· − 49650y + 143641
c
7
, c
10
y
96
+ 64y
95
+ ··· + 11074296y + 346921
c
8
y
96
+ 3y
95
+ ··· + 32428y + 24649
c
9
y
96
− 28y
95
+ ··· + 255762164y + 11566801
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.525298 + 0.768063I
a = 0.832846 + 0.127540I
b = 0.306967 + 0.674805I
0.128921 + 1.031740I 0
u = −0.525298 − 0.768063I
a = 0.832846 − 0.127540I
b = 0.306967 − 0.674805I
0.128921 − 1.031740I 0
u = −0.905763 + 0.203058I
a = 0.528701 + 0.137906I
b = −0.368997 − 1.240100I
3.35405 − 3.65742I 0
u = −0.905763 − 0.203058I
a = 0.528701 − 0.137906I
b = −0.368997 + 1.240100I
3.35405 + 3.65742I 0
u = −0.044423 + 1.100350I
a = 0.670337 − 0.111127I
b = −1.49263 + 0.17670I
0.85043 + 1.34410I 0
u = −0.044423 − 1.100350I
a = 0.670337 + 0.111127I
b = −1.49263 − 0.17670I
0.85043 − 1.34410I 0
u = 0.156095 + 1.116810I
a = 0.77783 − 1.99140I
b = −0.151729 + 1.185900I
4.33126 + 2.63781I 0
u = 0.156095 − 1.116810I
a = 0.77783 + 1.99140I
b = −0.151729 − 1.185900I
4.33126 − 2.63781I 0
u = 0.211266 + 1.131180I
a = −0.620255 + 0.772149I
b = −0.728438 − 0.962019I
3.97517 − 5.01625I 0
u = 0.211266 − 1.131180I
a = −0.620255 − 0.772149I
b = −0.728438 + 0.962019I
3.97517 + 5.01625I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.746714 + 0.400699I
a = −0.051089 − 0.427290I
b = −0.282677 + 0.880126I
−0.02117 + 1.72461I 0
u = −0.746714 − 0.400699I
a = −0.051089 + 0.427290I
b = −0.282677 − 0.880126I
−0.02117 − 1.72461I 0
u = −0.431506 + 0.716563I
a = 0.370722 − 0.216183I
b = 0.027208 + 0.363722I
0.08320 + 1.41662I 0
u = −0.431506 − 0.716563I
a = 0.370722 + 0.216183I
b = 0.027208 − 0.363722I
0.08320 − 1.41662I 0
u = −0.707791 + 0.931631I
a = 1.24064 + 0.71963I
b = 0.251316 − 1.000650I
1.15309 + 3.61333I 0
u = −0.707791 − 0.931631I
a = 1.24064 − 0.71963I
b = 0.251316 + 1.000650I
1.15309 − 3.61333I 0
u = 0.484567 + 1.065950I
a = −0.382479 − 0.495717I
b = 0.178676 − 0.553111I
4.73513 − 6.35747I 0
u = 0.484567 − 1.065950I
a = −0.382479 + 0.495717I
b = 0.178676 + 0.553111I
4.73513 + 6.35747I 0
u = −0.247030 + 1.153520I
a = 0.56682 + 2.45051I
b = 0.047546 − 1.035870I
1.37019 + 2.25364I 0
u = −0.247030 − 1.153520I
a = 0.56682 − 2.45051I
b = 0.047546 + 1.035870I
1.37019 − 2.25364I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.157639 + 1.183670I
a = 0.001084 + 0.184832I
b = −0.832195 + 0.249563I
1.92782 + 0.64289I 0
u = −0.157639 − 1.183670I
a = 0.001084 − 0.184832I
b = −0.832195 − 0.249563I
1.92782 − 0.64289I 0
u = 0.738861 + 0.273522I
a = 0.657325 + 0.379173I
b = 0.406156 + 0.380173I
2.46146 + 1.79544I −1.45895 + 0.I
u = 0.738861 − 0.273522I
a = 0.657325 − 0.379173I
b = 0.406156 − 0.380173I
2.46146 − 1.79544I −1.45895 + 0.I
u = 0.179022 + 1.204630I
a = −0.01303 − 3.15047I
b = 0.116577 + 1.093260I
6.31205 − 7.68822I 0
u = 0.179022 − 1.204630I
a = −0.01303 + 3.15047I
b = 0.116577 − 1.093260I
6.31205 + 7.68822I 0
u = −0.012622 + 1.218940I
a = 0.986741 + 0.267737I
b = −1.43710 − 0.15178I
1.37179 − 1.08663I 0
u = −0.012622 − 1.218940I
a = 0.986741 − 0.267737I
b = −1.43710 + 0.15178I
1.37179 + 1.08663I 0
u = 0.769195 + 0.076746I
a = 0.501727 + 0.959808I
b = 0.764067 − 0.172537I
1.54996 − 7.35456I −3.65767 + 5.46779I
u = 0.769195 − 0.076746I
a = 0.501727 − 0.959808I
b = 0.764067 + 0.172537I
1.54996 + 7.35456I −3.65767 − 5.46779I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.252248 + 0.723246I
a = 0.84707 + 1.47573I
b = −0.788312 − 0.504034I
0.30377 − 1.87014I 0. + 5.71715I
u = 0.252248 − 0.723246I
a = 0.84707 − 1.47573I
b = −0.788312 + 0.504034I
0.30377 + 1.87014I 0. − 5.71715I
u = −0.437620 + 0.614342I
a = 0.815012 − 0.971132I
b = −0.719713 + 0.173039I
−0.041781 + 0.377009I −1.80508 + 1.88167I
u = −0.437620 − 0.614342I
a = 0.815012 + 0.971132I
b = −0.719713 − 0.173039I
−0.041781 − 0.377009I −1.80508 − 1.88167I
u = −0.751709 + 0.055214I
a = 0.730341 − 0.926417I
b = 0.517302 + 0.265791I
−1.73313 + 1.97657I −7.36391 − 3.70859I
u = −0.751709 − 0.055214I
a = 0.730341 + 0.926417I
b = 0.517302 − 0.265791I
−1.73313 − 1.97657I −7.36391 + 3.70859I
u = 0.295341 + 1.238160I
a = −0.61300 + 1.66487I
b = −0.57741 − 1.40354I
5.09926 − 5.68444I 0
u = 0.295341 − 1.238160I
a = −0.61300 − 1.66487I
b = −0.57741 + 1.40354I
5.09926 + 5.68444I 0
u = −0.137364 + 1.273180I
a = −1.19936 − 2.23118I
b = −0.299431 + 1.353980I
10.54150 + 6.15053I 0
u = −0.137364 − 1.273180I
a = −1.19936 + 2.23118I
b = −0.299431 − 1.353980I
10.54150 − 6.15053I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.639370 + 0.250525I
a = 0.565116 + 0.474290I
b = −0.295651 + 1.043140I
1.90927 + 2.19671I 0.93082 − 1.10813I
u = 0.639370 − 0.250525I
a = 0.565116 − 0.474290I
b = −0.295651 − 1.043140I
1.90927 − 2.19671I 0.93082 + 1.10813I
u = 1.268200 + 0.341927I
a = 0.278974 − 0.564312I
b = 0.400782 + 1.210640I
4.78123 − 11.65630I 0
u = 1.268200 − 0.341927I
a = 0.278974 + 0.564312I
b = 0.400782 − 1.210640I
4.78123 + 11.65630I 0
u = −0.000655 + 1.317040I
a = 0.19536 + 1.86854I
b = 0.48808 − 1.62742I
11.30430 − 4.36654I 0
u = −0.000655 − 1.317040I
a = 0.19536 − 1.86854I
b = 0.48808 + 1.62742I
11.30430 + 4.36654I 0
u = −0.419520 + 1.263720I
a = −0.46558 − 1.70466I
b = −0.55012 + 1.56690I
6.77870 + 8.49664I 0
u = −0.419520 − 1.263720I
a = −0.46558 + 1.70466I
b = −0.55012 − 1.56690I
6.77870 − 8.49664I 0
u = 0.544115 + 0.363196I
a = 0.940669 + 0.668934I
b = −0.150654 + 0.928303I
1.92259 + 2.10317I 0.04322 − 3.10406I
u = 0.544115 − 0.363196I
a = 0.940669 − 0.668934I
b = −0.150654 − 0.928303I
1.92259 − 2.10317I 0.04322 + 3.10406I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.273818 + 1.329490I
a = 0.051546 − 0.376505I
b = 0.825894 + 0.224643I
7.43575 − 1.63405I 0
u = 0.273818 − 1.329490I
a = 0.051546 + 0.376505I
b = 0.825894 − 0.224643I
7.43575 + 1.63405I 0
u = 0.059857 + 1.359900I
a = 0.36449 − 1.63085I
b = 0.42491 + 1.36679I
7.46220 + 0.46211I 0
u = 0.059857 − 1.359900I
a = 0.36449 + 1.63085I
b = 0.42491 − 1.36679I
7.46220 − 0.46211I 0
u = −0.327054 + 1.326080I
a = −0.259748 + 0.092424I
b = 1.100500 + 0.061477I
2.65775 + 5.88966I 0
u = −0.327054 − 1.326080I
a = −0.259748 − 0.092424I
b = 1.100500 − 0.061477I
2.65775 − 5.88966I 0
u = 0.255988 + 1.341720I
a = −0.161662 − 0.954739I
b = −0.294743 + 0.280790I
5.47557 + 3.41544I 0
u = 0.255988 − 1.341720I
a = −0.161662 + 0.954739I
b = −0.294743 − 0.280790I
5.47557 − 3.41544I 0
u = 0.326599 + 1.334520I
a = −0.464224 − 0.182607I
b = 1.292860 + 0.011178I
6.01630 − 11.30650I 0
u = 0.326599 − 1.334520I
a = −0.464224 + 0.182607I
b = 1.292860 − 0.011178I
6.01630 + 11.30650I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.386100 + 0.123391I
a = 0.242081 − 0.614254I
b = 0.094174 + 1.204520I
6.84221 + 0.37747I 0
u = 1.386100 − 0.123391I
a = 0.242081 + 0.614254I
b = 0.094174 − 1.204520I
6.84221 − 0.37747I 0
u = 0.231802 + 1.386730I
a = −0.33603 + 2.14529I
b = −0.53021 − 1.50271I
7.02857 − 7.75807I 0
u = 0.231802 − 1.386730I
a = −0.33603 − 2.14529I
b = −0.53021 + 1.50271I
7.02857 + 7.75807I 0
u = 0.546250 + 0.221921I
a = −0.586107 + 0.400357I
b = −0.503916 − 1.193030I
1.88753 − 4.83574I −1.82150 + 10.28229I
u = 0.546250 − 0.221921I
a = −0.586107 − 0.400357I
b = −0.503916 + 1.193030I
1.88753 + 4.83574I −1.82150 − 10.28229I
u = −1.351470 + 0.411646I
a = 0.346166 + 0.613782I
b = 0.319758 − 1.115460I
0.80165 + 5.35661I 0
u = −1.351470 − 0.411646I
a = 0.346166 − 0.613782I
b = 0.319758 + 1.115460I
0.80165 − 5.35661I 0
u = −0.483414 + 0.287960I
a = −0.207258 − 0.799988I
b = −0.829215 + 0.552365I
−0.78991 + 2.57371I −7.44192 − 8.81611I
u = −0.483414 − 0.287960I
a = −0.207258 + 0.799988I
b = −0.829215 − 0.552365I
−0.78991 − 2.57371I −7.44192 + 8.81611I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.17575 + 1.42720I
a = 0.746124 − 1.151820I
b = 0.231196 + 0.933301I
7.67642 − 0.59175I 0
u = 0.17575 − 1.42720I
a = 0.746124 + 1.151820I
b = 0.231196 − 0.933301I
7.67642 + 0.59175I 0
u = −0.24656 + 1.42253I
a = 1.04720 + 1.40871I
b = 0.027903 − 1.128860I
8.87495 + 0.32269I 0
u = −0.24656 − 1.42253I
a = 1.04720 − 1.40871I
b = 0.027903 + 1.128860I
8.87495 − 0.32269I 0
u = 0.02044 + 1.44372I
a = 0.076974 + 1.408660I
b = 0.72037 − 1.26880I
9.94869 + 4.20442I 0
u = 0.02044 − 1.44372I
a = 0.076974 − 1.408660I
b = 0.72037 + 1.26880I
9.94869 − 4.20442I 0
u = 0.415406 + 0.361543I
a = 2.21587 + 0.61418I
b = 0.455317 − 0.923063I
3.66695 + 5.47402I 0.51268 − 6.29867I
u = 0.415406 − 0.361543I
a = 2.21587 − 0.61418I
b = 0.455317 + 0.923063I
3.66695 − 5.47402I 0.51268 + 6.29867I
u = −0.28768 + 1.44338I
a = −0.21246 − 1.79678I
b = −0.51281 + 1.38469I
5.80229 + 5.49787I 0
u = −0.28768 − 1.44338I
a = −0.21246 + 1.79678I
b = −0.51281 − 1.38469I
5.80229 − 5.49787I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.52488 + 1.47047I
a = 0.75954 − 1.52436I
b = 0.402301 + 1.326180I
12.08550 − 6.02777I 0
u = 0.52488 − 1.47047I
a = 0.75954 + 1.52436I
b = 0.402301 − 1.326180I
12.08550 + 6.02777I 0
u = 0.49192 + 1.51520I
a = 0.52792 − 1.65271I
b = 0.57582 + 1.42748I
10.6115 − 17.7790I 0
u = 0.49192 − 1.51520I
a = 0.52792 + 1.65271I
b = 0.57582 − 1.42748I
10.6115 + 17.7790I 0
u = −0.50869 + 1.52093I
a = 0.56522 + 1.55059I
b = 0.54425 − 1.34959I
6.73423 + 11.71500I 0
u = −0.50869 − 1.52093I
a = 0.56522 − 1.55059I
b = 0.54425 + 1.34959I
6.73423 − 11.71500I 0
u = 0.57035 + 1.51967I
a = −0.47162 + 1.46962I
b = −0.19365 − 1.44897I
11.70320 − 7.44211I 0
u = 0.57035 − 1.51967I
a = −0.47162 − 1.46962I
b = −0.19365 + 1.44897I
11.70320 + 7.44211I 0
u = 0.278450 + 0.071670I
a = −1.52137 + 0.64328I
b = −0.755950 − 0.092790I
−1.43035 − 0.01918I −9.48323 − 0.92177I
u = 0.278450 − 0.071670I
a = −1.52137 − 0.64328I
b = −0.755950 + 0.092790I
−1.43035 + 0.01918I −9.48323 + 0.92177I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.183899 + 0.086824I
a = −0.75076 − 4.63928I
b = 0.022216 − 1.324870I
6.79043 − 4.75561I 3.73976 + 5.73901I
u = −0.183899 − 0.086824I
a = −0.75076 + 4.63928I
b = 0.022216 + 1.324870I
6.79043 + 4.75561I 3.73976 − 5.73901I
u = −0.28859 + 1.82446I
a = −0.139870 − 1.338690I
b = −0.262443 + 1.128520I
5.90628 + 4.32377I 0
u = −0.28859 − 1.82446I
a = −0.139870 + 1.338690I
b = −0.262443 − 1.128520I
5.90628 − 4.32377I 0
u = 1.10712 + 1.84505I
a = −0.305270 + 1.010260I
b = 0.015849 − 1.136460I
7.84962 + 3.05507I 0
u = 1.10712 − 1.84505I
a = −0.305270 − 1.010260I
b = 0.015849 + 1.136460I
7.84962 − 3.05507I 0
14
II.
I
u
2
= h−1.52 × 10
6
u
21
+ 5.75 × 10
5
u
20
+ · · · + 5.51 × 10
5
b + 5.58 × 10
5
, 4.78 ×
10
5
u
21
+ 1.11 × 10
6
u
20
+ · · · + 5.51 × 10
5
a + 2.61 × 10
6
, u
22
− u
21
+ · · · − 7u + 1i
(i) Arc colorings
a
4
=
0
u
a
11
=
1
0
a
1
=
1
u
2
a
3
=
u
u
3
+ u
a
8
=
−0.866875u
21
− 2.01141u
20
+ ··· + 31.0423u − 4.74530
2.76469u
21
− 1.04282u
20
+ ··· + 7.59317u − 1.01279
a
7
=
1.89782u
21
− 3.05422u
20
+ ··· + 38.6355u − 5.75809
2.76469u
21
− 1.04282u
20
+ ··· + 7.59317u − 1.01279
a
5
=
−1.36561u
21
− 3.35513u
20
+ ··· + 29.1644u − 4.25179
0.738879u
21
− 0.454115u
20
+ ··· + 2.62218u + 0.546192
a
10
=
−2.20771u
21
+ 1.20618u
20
+ ··· − 11.3065u + 3.27600
1.66152u
21
+ 0.0788899u
20
+ ··· − 10.4549u + 3.16953
a
2
=
−4.79637u
21
+ 2.41999u
20
+ ··· − 12.0899u − 0.812203
−1.28214u
21
− 0.327382u
20
+ ··· − 6.66408u + 1.42918
a
9
=
−3.31089u
21
+ 2.32789u
20
+ ··· − 29.3545u + 6.45832
1.02103u
21
+ 1.05286u
20
+ ··· − 27.2700u + 6.33331
a
6
=
0.897819u
21
− 2.05422u
20
+ ··· + 11.6355u + 0.241909
0.817375u
21
− 0.0709815u
20
+ ··· + 8.84560u − 1.61137
a
6
=
0.897819u
21
− 2.05422u
20
+ ··· + 11.6355u + 0.241909
0.817375u
21
− 0.0709815u
20
+ ··· + 8.84560u − 1.61137
(ii) Obstruction class = 1
(iii) Cusp Shapes =
569868
551059
u
21
−
982528
551059
u
20
+ ··· −
31980159
551059
u +
3277033
551059
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
22
− 3u
21
+ ··· − 4u + 1
c
2
u
22
+ 2u
21
+ ··· + 7u + 3
c
3
u
22
+ u
21
+ ··· + 7u + 1
c
4
u
22
+ 4u
19
+ ··· − 6u + 1
c
5
u
22
− 2u
21
+ ··· − 7u + 3
c
6
u
22
− 2u
21
+ ··· − u + 1
c
7
u
22
− 9u
21
+ ··· − 23u + 3
c
8
u
22
− 2u
21
+ ··· + 3u + 1
c
9
u
22
− u
21
+ ··· − u + 1
c
10
u
22
+ 9u
21
+ ··· + 23u + 3
c
11
u
22
− u
21
+ ··· − 7u + 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
22
− 13y
21
+ ··· + 4y + 1
c
2
, c
5
y
22
− 12y
21
+ ··· − 85y + 9
c
3
, c
11
y
22
+ 21y
21
+ ··· + 7y + 1
c
4
y
22
+ 6y
20
+ ··· − 2y + 1
c
6
y
22
− 8y
21
+ ··· − 11y + 1
c
7
, c
10
y
22
+ 11y
21
+ ··· + 59y + 9
c
8
y
22
− 6y
21
+ ··· − 5y + 1
c
9
y
22
+ 3y
21
+ ··· − 9y + 1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.325722 + 0.924836I
a = −0.314978 − 1.013920I
b = 0.231197 − 0.644969I
4.63455 + 7.30143I 0.41543 − 9.60759I
u = −0.325722 − 0.924836I
a = −0.314978 + 1.013920I
b = 0.231197 + 0.644969I
4.63455 − 7.30143I 0.41543 + 9.60759I
u = 0.751922 + 0.704622I
a = −1.144800 + 0.379579I
b = −0.295783 − 1.049270I
1.32512 − 4.05365I 2.20928 + 9.99112I
u = 0.751922 − 0.704622I
a = −1.144800 − 0.379579I
b = −0.295783 + 1.049270I
1.32512 + 4.05365I 2.20928 − 9.99112I
u = 0.329954 + 0.830831I
a = 0.114259 + 0.430464I
b = −0.630595 + 0.054388I
−0.77711 − 1.51881I −7.69357 + 3.97599I
u = 0.329954 − 0.830831I
a = 0.114259 − 0.430464I
b = −0.630595 − 0.054388I
−0.77711 + 1.51881I −7.69357 − 3.97599I
u = 0.028518 + 1.221960I
a = 0.900081 − 0.223546I
b = −1.53702 + 0.22214I
1.83081 + 0.86562I 9.02771 + 1.15882I
u = 0.028518 − 1.221960I
a = 0.900081 + 0.223546I
b = −1.53702 − 0.22214I
1.83081 − 0.86562I 9.02771 − 1.15882I
u = 0.361208 + 0.645420I
a = −1.55687 + 0.56837I
b = −0.221210 + 0.639754I
−0.16641 − 1.41041I −7.38985 + 6.70652I
u = 0.361208 − 0.645420I
a = −1.55687 − 0.56837I
b = −0.221210 − 0.639754I
−0.16641 + 1.41041I −7.38985 − 6.70652I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.297298 + 1.256540I
a = −0.74638 − 2.15779I
b = −0.25149 + 1.46113I
8.91096 + 6.90073I 4.68084 − 6.27490I
u = −0.297298 − 1.256540I
a = −0.74638 + 2.15779I
b = −0.25149 − 1.46113I
8.91096 − 6.90073I 4.68084 + 6.27490I
u = 0.259751 + 1.370260I
a = −0.30722 + 1.85435I
b = −0.59274 − 1.48164I
6.44412 − 6.53950I 3.13648 + 5.18044I
u = 0.259751 − 1.370260I
a = −0.30722 − 1.85435I
b = −0.59274 + 1.48164I
6.44412 + 6.53950I 3.13648 − 5.18044I
u = 0.115142 + 0.583729I
a = 1.17843 + 0.84891I
b = −0.954267 − 0.339130I
−0.49687 − 1.33027I −8.40153 + 3.08936I
u = 0.115142 − 0.583729I
a = 1.17843 − 0.84891I
b = −0.954267 + 0.339130I
−0.49687 + 1.33027I −8.40153 − 3.08936I
u = −0.83136 + 1.32090I
a = 0.367088 + 0.859047I
b = 0.071362 − 1.159550I
7.43077 − 2.45676I 4.44661 − 0.13361I
u = −0.83136 − 1.32090I
a = 0.367088 − 0.859047I
b = 0.071362 + 1.159550I
7.43077 + 2.45676I 4.44661 + 0.13361I
u = 0.384833 + 0.166221I
a = 1.47985 + 0.70605I
b = −0.489921 + 1.129880I
2.05850 + 3.60374I −1.99861 − 4.85808I
u = 0.384833 − 0.166221I
a = 1.47985 − 0.70605I
b = −0.489921 − 1.129880I
2.05850 − 3.60374I −1.99861 + 4.85808I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.27695 + 1.72488I
a = 0.03055 − 1.49682I
b = 0.170469 + 1.002220I
6.63906 − 3.73323I 7.06721 + 4.27420I
u = −0.27695 − 1.72488I
a = 0.03055 + 1.49682I
b = 0.170469 − 1.002220I
6.63906 + 3.73323I 7.06721 − 4.27420I
20
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
22
− 3u
21
+ ··· − 4u + 1)(u
96
+ 10u
95
+ ··· + 6633u + 3041)
c
2
(u
22
+ 2u
21
+ ··· + 7u + 3)(u
96
− 3u
95
+ ··· − 94u + 61)
c
3
(u
22
+ u
21
+ ··· + 7u + 1)(u
96
− 6u
95
+ ··· − 1182u + 317)
c
4
(u
22
+ 4u
19
+ ··· − 6u + 1)(u
96
− 9u
95
+ ··· − 16879u + 53041)
c
5
(u
22
− 2u
21
+ ··· − 7u + 3)(u
96
− 3u
95
+ ··· − 94u + 61)
c
6
(u
22
− 2u
21
+ ··· − u + 1)(u
96
− 9u
95
+ ··· − 5684u + 379)
c
7
(u
22
− 9u
21
+ ··· − 23u + 3)(u
96
+ 4u
95
+ ··· + 632u + 589)
c
8
(u
22
− 2u
21
+ ··· + 3u + 1)(u
96
+ 3u
95
+ ··· − 246u + 157)
c
9
(u
22
− u
21
+ ··· − u + 1)(u
96
− 2u
95
+ ··· − 17198u + 3401)
c
10
(u
22
+ 9u
21
+ ··· + 23u + 3)(u
96
+ 4u
95
+ ··· + 632u + 589)
c
11
(u
22
− u
21
+ ··· − 7u + 1)(u
96
− 6u
95
+ ··· − 1182u + 317)
21
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
22
− 13y
21
+ ··· + 4y + 1)
· (y
96
− 32y
95
+ ··· − 121986175y + 9247681)
c
2
, c
5
(y
22
− 12y
21
+ ··· − 85y + 9)(y
96
− 59y
95
+ ··· − 111072y + 3721)
c
3
, c
11
(y
22
+ 21y
21
+ ··· + 7y + 1)(y
96
+ 82y
95
+ ··· − 4643204y + 100489)
c
4
(y
22
+ 6y
20
+ ··· − 2y + 1)
· (y
96
+ 37y
95
+ ··· + 73089472791y + 2813347681)
c
6
(y
22
− 8y
21
+ ··· − 11y + 1)(y
96
+ 21y
95
+ ··· − 49650y + 143641)
c
7
, c
10
(y
22
+ 11y
21
+ ··· + 59y + 9)
· (y
96
+ 64y
95
+ ··· + 11074296y + 346921)
c
8
(y
22
− 6y
21
+ ··· − 5y + 1)(y
96
+ 3y
95
+ ··· + 32428y + 24649)
c
9
(y
22
+ 3y
21
+ ··· − 9y + 1)
· (y
96
− 28y
95
+ ··· + 255762164y + 11566801)
22
