11a
315
(K11a
315
)
A knot diagram
1
Linearized knot diagam
9 6 1 10 8 2 11 3 4 7 5
Solving Sequence
7,10
11
5,8
6 1 4 3 9 2
c
10
c
7
c
5
c
11
c
4
c
3
c
9
c
1
c
2
, c
6
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h8.35047 × 10
320
u
95
+ 1.44029 × 10
321
u
94
+ ··· + 5.77122 × 10
319
b + 5.39671 × 10
323
,
− 1.01480 × 10
325
u
95
− 2.15677 × 10
325
u
94
+ ··· + 6.33103 × 10
322
a − 4.64333 × 10
327
,
3u
96
+ 4u
95
+ ··· − 590u − 1097i
I
u
2
= h350076u
17
+ 452234u
16
+ ··· + 2209b − 230492,
− 350919u
17
− 309072u
16
+ ··· + 2209a + 93665, 3u
18
+ 5u
17
+ ··· − 5u − 1i
* 2 irreducible components of dim
C
= 0, with total 114 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
= h8.35 × 10
320
u
95
+ 1.44 × 10
321
u
94
+ · · · + 5.77 × 10
319
b + 5.40 ×
10
323
, −1.01 × 10
325
u
95
− 2.16 × 10
325
u
94
+ · · · + 6.33 × 10
322
a − 4.64 ×
10
327
, 3u
96
+ 4u
95
+ · · · − 590u − 1097i
(i) Arc colorings
a
7
=
0
u
a
10
=
1
0
a
11
=
1
−u
2
a
5
=
160.290u
95
+ 340.667u
94
+ ··· + 130465.u + 73342.4
−14.4692u
95
− 24.9564u
94
+ ··· − 19464.1u − 9351.07
a
8
=
u
−u
3
+ u
a
6
=
121.168u
95
+ 262.638u
94
+ ··· + 92069.5u + 53087.6
−38.4280u
95
− 76.1368u
94
+ ··· − 38467.4u − 20147.5
a
1
=
227.445u
95
+ 495.753u
94
+ ··· + 167945.u + 98005.3
103.416u
95
+ 224.825u
94
+ ··· + 76598.4u + 44698.8
a
4
=
145.821u
95
+ 315.710u
94
+ ··· + 111001.u + 63991.3
−14.4692u
95
− 24.9564u
94
+ ··· − 19464.1u − 9351.07
a
3
=
−107.797u
95
− 237.291u
94
+ ··· − 77403.3u − 45591.1
−107.406u
95
− 226.853u
94
+ ··· − 89699.9u − 49898.8
a
9
=
−126.324u
95
− 267.369u
94
+ ··· − 103887.u − 58210.5
−202.923u
95
− 460.629u
94
+ ··· − 122530.u − 78021.3
a
2
=
34.4592u
95
+ 79.3873u
94
+ ··· + 20523.0u + 13006.7
−30.5692u
95
− 75.0027u
94
+ ··· − 10427.5u − 8966.06
a
2
=
34.4592u
95
+ 79.3873u
94
+ ··· + 20523.0u + 13006.7
−30.5692u
95
− 75.0027u
94
+ ··· − 10427.5u − 8966.06
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2023.30u
95
− 4712.54u
94
+ ··· − 1.06232 × 10
6
u − 721227.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
96
− 5u
95
+ ··· − 21760u − 2097
c
2
, c
6
3(3u
96
+ 7u
95
+ ··· + 3339u − 297)
c
3
9(9u
96
− 134u
95
+ ··· − 15u + 1)
c
4
, c
9
u
96
− 6u
95
+ ··· + 6966u − 1849
c
5
u
96
+ 6u
95
+ ··· + 1962842u + 272431
c
7
, c
10
3(3u
96
+ 4u
95
+ ··· − 590u − 1097)
c
8
u
96
− u
95
+ ··· + 56419u − 24573
c
11
u
96
+ 2u
95
+ ··· + 89272u − 13803
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
96
+ 13y
95
+ ··· + 33993176y + 4397409
c
2
, c
6
9(9y
96
+ 593y
95
+ ··· + 7914915y + 88209)
c
3
81(81y
96
− 1972y
95
+ ··· + 55y + 1)
c
4
, c
9
y
96
− 58y
95
+ ··· − 92290986y + 3418801
c
5
y
96
− 30y
95
+ ··· − 473184951454y + 74218649761
c
7
, c
10
9(9y
96
− 460y
95
+ ··· − 3.09412 × 10
7
y + 1203409)
c
8
y
96
− 17y
95
+ ··· − 17758136197y + 603832329
c
11
y
96
+ 6y
95
+ ··· + 6944044184y + 190522809
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.981699 + 0.203846I
a = −0.765999 − 0.642364I
b = 0.619183 + 0.535394I
1.73174 + 0.39177I 0
u = 0.981699 − 0.203846I
a = −0.765999 + 0.642364I
b = 0.619183 − 0.535394I
1.73174 − 0.39177I 0
u = −0.871405 + 0.497037I
a = 0.61654 − 1.54991I
b = 1.226230 + 0.283662I
−1.24057 − 4.70878I 0
u = −0.871405 − 0.497037I
a = 0.61654 + 1.54991I
b = 1.226230 − 0.283662I
−1.24057 + 4.70878I 0
u = 0.090963 + 1.000610I
a = −0.489137 − 0.013925I
b = −0.125344 − 0.881334I
3.36615 + 6.57501I 0
u = 0.090963 − 1.000610I
a = −0.489137 + 0.013925I
b = −0.125344 + 0.881334I
3.36615 − 6.57501I 0
u = 0.965186 + 0.211216I
a = −1.61395 − 0.61196I
b = −1.297100 + 0.157095I
0.98928 + 7.38324I 0
u = 0.965186 − 0.211216I
a = −1.61395 + 0.61196I
b = −1.297100 − 0.157095I
0.98928 − 7.38324I 0
u = −0.914796 + 0.473612I
a = 0.48676 − 2.03126I
b = 1.197990 + 0.173924I
−1.35126 − 4.74042I 0
u = −0.914796 − 0.473612I
a = 0.48676 + 2.03126I
b = 1.197990 − 0.173924I
−1.35126 + 4.74042I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.098776 + 0.963630I
a = 0.521804 − 0.256520I
b = 1.307520 + 0.337320I
−4.14708 − 6.10322I 0
u = 0.098776 − 0.963630I
a = 0.521804 + 0.256520I
b = 1.307520 − 0.337320I
−4.14708 + 6.10322I 0
u = 1.018150 + 0.172235I
a = 0.844362 − 0.938562I
b = −1.94470 + 0.12581I
1.66864 + 3.14014I 0
u = 1.018150 − 0.172235I
a = 0.844362 + 0.938562I
b = −1.94470 − 0.12581I
1.66864 − 3.14014I 0
u = 0.842592 + 0.418933I
a = −0.533871 − 1.018780I
b = 0.081476 + 0.967865I
2.34632 + 0.52578I 0
u = 0.842592 − 0.418933I
a = −0.533871 + 1.018780I
b = 0.081476 − 0.967865I
2.34632 − 0.52578I 0
u = −1.028940 + 0.280146I
a = 0.90713 + 1.66872I
b = −1.266760 − 0.610244I
−2.08843 − 5.19122I 0
u = −1.028940 − 0.280146I
a = 0.90713 − 1.66872I
b = −1.266760 + 0.610244I
−2.08843 + 5.19122I 0
u = −0.817841 + 0.715844I
a = 1.19222 − 1.12383I
b = 0.892547 + 0.020136I
3.09922 − 2.44564I 0
u = −0.817841 − 0.715844I
a = 1.19222 + 1.12383I
b = 0.892547 − 0.020136I
3.09922 + 2.44564I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.951281 + 0.526119I
a = −0.16190 − 2.14760I
b = 1.27437 + 0.65713I
−1.23108 − 9.17111I 0
u = −0.951281 − 0.526119I
a = −0.16190 + 2.14760I
b = 1.27437 − 0.65713I
−1.23108 + 9.17111I 0
u = −0.641118 + 0.642560I
a = 0.081903 − 0.128435I
b = −1.35052 + 0.45439I
−2.17740 + 4.59275I 0
u = −0.641118 − 0.642560I
a = 0.081903 + 0.128435I
b = −1.35052 − 0.45439I
−2.17740 − 4.59275I 0
u = 1.039460 + 0.439875I
a = −0.786780 − 1.134370I
b = 0.053630 + 0.729782I
3.11184 + 1.53766I 0
u = 1.039460 − 0.439875I
a = −0.786780 + 1.134370I
b = 0.053630 − 0.729782I
3.11184 − 1.53766I 0
u = −0.536552 + 0.995291I
a = −0.376159 + 0.160481I
b = −1.284320 + 0.385123I
−3.47528 + 0.56323I 0
u = −0.536552 − 0.995291I
a = −0.376159 − 0.160481I
b = −1.284320 − 0.385123I
−3.47528 − 0.56323I 0
u = 1.091180 + 0.302734I
a = 1.03585 − 1.71671I
b = −1.039180 + 0.060714I
−2.34256 + 1.03453I 0
u = 1.091180 − 0.302734I
a = 1.03585 + 1.71671I
b = −1.039180 − 0.060714I
−2.34256 − 1.03453I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.864487 + 0.067288I
a = −1.03372 − 3.46440I
b = 0.45199 + 2.41206I
1.23627 + 2.13659I 0
u = 0.864487 − 0.067288I
a = −1.03372 + 3.46440I
b = 0.45199 − 2.41206I
1.23627 − 2.13659I 0
u = 0.851982
a = 2.42297
b = 1.30404
−4.16838 0
u = −0.768204 + 0.361730I
a = −0.24125 + 1.42284I
b = −0.913672 + 0.081730I
−1.51493 + 0.74030I 0
u = −0.768204 − 0.361730I
a = −0.24125 − 1.42284I
b = −0.913672 − 0.081730I
−1.51493 − 0.74030I 0
u = 0.802721 + 0.215010I
a = −1.52539 + 3.03816I
b = 0.958660 + 0.109699I
0.46559 − 5.39912I 0
u = 0.802721 − 0.215010I
a = −1.52539 − 3.03816I
b = 0.958660 − 0.109699I
0.46559 + 5.39912I 0
u = 0.812674 + 0.102586I
a = −1.67755 + 1.62069I
b = 1.65825 − 0.25745I
0.84537 − 1.76194I 0
u = 0.812674 − 0.102586I
a = −1.67755 − 1.62069I
b = 1.65825 + 0.25745I
0.84537 + 1.76194I 0
u = 0.014816 + 0.815458I
a = −0.091044 + 0.703341I
b = 0.922119 − 0.223860I
1.88316 + 3.59766I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.014816 − 0.815458I
a = −0.091044 − 0.703341I
b = 0.922119 + 0.223860I
1.88316 − 3.59766I 0
u = 1.126380 + 0.366436I
a = 0.591656 + 1.278550I
b = −0.695441 − 0.685522I
6.30161 + 3.91490I 0
u = 1.126380 − 0.366436I
a = 0.591656 − 1.278550I
b = −0.695441 + 0.685522I
6.30161 − 3.91490I 0
u = −0.792268 + 0.032149I
a = −0.136736 + 0.425099I
b = 1.54012 − 0.27260I
−3.57314 + 3.55716I 0
u = −0.792268 − 0.032149I
a = −0.136736 − 0.425099I
b = 1.54012 + 0.27260I
−3.57314 − 3.55716I 0
u = 0.153234 + 0.753973I
a = 0.431412 − 0.389245I
b = 1.245900 − 0.180263I
−5.56839 + 2.63653I 0
u = 0.153234 − 0.753973I
a = 0.431412 + 0.389245I
b = 1.245900 + 0.180263I
−5.56839 − 2.63653I 0
u = −0.525633 + 0.538766I
a = −1.122290 + 0.116900I
b = −1.202910 + 0.107418I
−2.40376 + 0.61006I 0
u = −0.525633 − 0.538766I
a = −1.122290 − 0.116900I
b = −1.202910 − 0.107418I
−2.40376 − 0.61006I 0
u = 0.275095 + 1.227520I
a = −0.400852 + 0.116369I
b = −1.273060 − 0.499899I
−0.21784 − 11.64570I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.275095 − 1.227520I
a = −0.400852 − 0.116369I
b = −1.273060 + 0.499899I
−0.21784 + 11.64570I 0
u = −1.203210 + 0.380922I
a = 0.38019 − 1.41752I
b = 0.100944 + 1.031110I
4.01052 − 6.12296I 0
u = −1.203210 − 0.380922I
a = 0.38019 + 1.41752I
b = 0.100944 − 1.031110I
4.01052 + 6.12296I 0
u = −1.27130
a = −0.468329
b = −0.368940
0.742678 0
u = −1.271940 + 0.150627I
a = −0.028108 + 1.368010I
b = 0.303727 − 0.826969I
8.74132 − 0.96087I 0
u = −1.271940 − 0.150627I
a = −0.028108 − 1.368010I
b = 0.303727 + 0.826969I
8.74132 + 0.96087I 0
u = 1.281880 + 0.204070I
a = 0.348534 + 1.120150I
b = −0.50519 − 1.36680I
3.57896 + 1.66051I 0
u = 1.281880 − 0.204070I
a = 0.348534 − 1.120150I
b = −0.50519 + 1.36680I
3.57896 − 1.66051I 0
u = −1.136990 + 0.633869I
a = 0.13023 − 1.61687I
b = 1.34921 + 0.52876I
−1.43906 − 6.43123I 0
u = −1.136990 − 0.633869I
a = 0.13023 + 1.61687I
b = 1.34921 − 0.52876I
−1.43906 + 6.43123I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.094980 + 0.714123I
a = −0.781399 + 1.023480I
b = −1.073050 − 0.225617I
3.99445 − 3.25658I 0
u = −1.094980 − 0.714123I
a = −0.781399 − 1.023480I
b = −1.073050 + 0.225617I
3.99445 + 3.25658I 0
u = −1.229820 + 0.466528I
a = 0.42286 + 1.80682I
b = −0.946848 − 0.403711I
5.53218 − 8.19891I 0
u = −1.229820 − 0.466528I
a = 0.42286 − 1.80682I
b = −0.946848 + 0.403711I
5.53218 + 8.19891I 0
u = 0.032764 + 0.670988I
a = 0.205854 − 0.156632I
b = −0.154795 + 0.715846I
0.38771 + 2.27012I 0
u = 0.032764 − 0.670988I
a = 0.205854 + 0.156632I
b = −0.154795 − 0.715846I
0.38771 − 2.27012I 0
u = 1.255450 + 0.478657I
a = 0.645957 + 0.272091I
b = −0.617575 − 0.245152I
5.48115 + 1.16165I 0
u = 1.255450 − 0.478657I
a = 0.645957 − 0.272091I
b = −0.617575 + 0.245152I
5.48115 − 1.16165I 0
u = −0.358213 + 1.316130I
a = 0.356172 − 0.168187I
b = 1.043400 − 0.583502I
−3.32455 + 2.39582I 0
u = −0.358213 − 1.316130I
a = 0.356172 + 0.168187I
b = 1.043400 + 0.583502I
−3.32455 − 2.39582I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.308980 + 0.475608I
a = −0.437485 + 1.226180I
b = −0.027467 − 1.315470I
7.65553 − 11.67950I 0
u = −1.308980 − 0.475608I
a = −0.437485 − 1.226180I
b = −0.027467 + 1.315470I
7.65553 + 11.67950I 0
u = 1.281380 + 0.547670I
a = 0.14355 − 1.60766I
b = −1.36818 + 0.49974I
−0.53270 + 11.56490I 0
u = 1.281380 − 0.547670I
a = 0.14355 + 1.60766I
b = −1.36818 − 0.49974I
−0.53270 − 11.56490I 0
u = −1.353450 + 0.402157I
a = 0.191361 + 0.482472I
b = 0.227166 − 0.225140I
5.73921 − 6.56546I 0
u = −1.353450 − 0.402157I
a = 0.191361 − 0.482472I
b = 0.227166 + 0.225140I
5.73921 + 6.56546I 0
u = 0.209352 + 0.539750I
a = −1.47687 + 0.49783I
b = 0.389822 + 0.587934I
0.95940 + 3.02963I −2.72169 − 3.74300I
u = 0.209352 − 0.539750I
a = −1.47687 − 0.49783I
b = 0.389822 − 0.587934I
0.95940 − 3.02963I −2.72169 + 3.74300I
u = 1.39391 + 0.36350I
a = −0.488595 + 1.282830I
b = 1.132440 − 0.443855I
6.17066 + 5.58274I 0
u = 1.39391 − 0.36350I
a = −0.488595 − 1.282830I
b = 1.132440 + 0.443855I
6.17066 − 5.58274I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.31943 + 0.66297I
a = 0.05685 + 1.49543I
b = 1.41644 − 0.60207I
3.1429 + 18.2725I 0
u = 1.31943 − 0.66297I
a = 0.05685 − 1.49543I
b = 1.41644 + 0.60207I
3.1429 − 18.2725I 0
u = −1.34265 + 0.62859I
a = −0.053295 + 1.272070I
b = −1.40190 − 0.70932I
0.20764 − 9.18905I 0
u = −1.34265 − 0.62859I
a = −0.053295 − 1.272070I
b = −1.40190 + 0.70932I
0.20764 + 9.18905I 0
u = 0.286919 + 0.412561I
a = −0.71801 + 2.01587I
b = 0.275542 − 0.539171I
3.76234 − 0.68062I 5.82964 − 1.30237I
u = 0.286919 − 0.412561I
a = −0.71801 − 2.01587I
b = 0.275542 + 0.539171I
3.76234 + 0.68062I 5.82964 + 1.30237I
u = 1.40839 + 0.51152I
a = 0.311679 + 0.966447I
b = 0.723215 − 0.913951I
7.43009 − 0.76858I 0
u = 1.40839 − 0.51152I
a = 0.311679 − 0.966447I
b = 0.723215 + 0.913951I
7.43009 + 0.76858I 0
u = −1.53936 + 0.09461I
a = −0.278084 + 0.514424I
b = 0.845658 − 0.595779I
6.82851 + 6.31553I 0
u = −1.53936 − 0.09461I
a = −0.278084 − 0.514424I
b = 0.845658 + 0.595779I
6.82851 − 6.31553I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.37356 + 0.78307I
a = 0.086482 + 0.930521I
b = 1.131460 − 0.269948I
3.06332 + 8.99488I 0
u = 1.37356 − 0.78307I
a = 0.086482 − 0.930521I
b = 1.131460 + 0.269948I
3.06332 − 8.99488I 0
u = −0.350795 + 0.165581I
a = −0.05684 − 1.65249I
b = −0.338815 − 0.249348I
−1.14552 − 0.85529I −6.99439 + 3.24657I
u = −0.350795 − 0.165581I
a = −0.05684 + 1.65249I
b = −0.338815 + 0.249348I
−1.14552 + 0.85529I −6.99439 − 3.24657I
u = −0.43903 + 1.94371I
a = −0.144411 + 0.147245I
b = −1.009720 − 0.045042I
−0.0922815 − 0.0457562I 0
u = −0.43903 − 1.94371I
a = −0.144411 − 0.147245I
b = −1.009720 + 0.045042I
−0.0922815 + 0.0457562I 0
14
II. I
u
2
= h350076u
17
+ 452234u
16
+ · · · + 2209b − 230492, −3.51 × 10
5
u
17
−
3.09 × 10
5
u
16
+ · · · + 2209a + 9.37 × 10
4
, 3u
18
+ 5u
17
+ · · · − 5u − 1i
(i) Arc colorings
a
7
=
0
u
a
10
=
1
0
a
11
=
1
−u
2
a
5
=
158.859u
17
+ 139.915u
16
+ ··· − 196.269u − 42.4015
−158.477u
17
− 204.723u
16
+ ··· + 319.438u + 104.342
a
8
=
u
−u
3
+ u
a
6
=
83.1322u
17
+ 49.3617u
16
+ ··· − 74.8253u − 4.14984
−208.029u
17
− 260.851u
16
+ ··· + 406.694u + 130.708
a
1
=
101.260u
17
+ 51.3617u
16
+ ··· − 89.6976u + 11.4246
−3u
17
− 2u
16
+ ··· + 3u + 2
a
4
=
0.381621u
17
− 64.8085u
16
+ ··· + 123.169u + 61.9407
−158.477u
17
− 204.723u
16
+ ··· + 319.438u + 104.342
a
3
=
46.9516u
17
+ 96.8298u
16
+ ··· − 144.304u − 53.2499
1.94749u
17
+ 13.4043u
16
+ ··· − 52.9461u − 25.5980
a
9
=
209.288u
17
+ 260.340u
16
+ ··· − 487.201u − 160.139
9.37211u
17
+ 3.53191u
16
+ ··· + 57.6700u + 23.4617
a
2
=
−215.627u
17
− 222.660u
16
+ ··· + 405.884u + 117.244
−85.9950u
17
− 63.7021u
16
+ ··· + 82.4518u + 0.203259
a
2
=
−215.627u
17
− 222.660u
16
+ ··· + 405.884u + 117.244
−85.9950u
17
− 63.7021u
16
+ ··· + 82.4518u + 0.203259
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
2181624
2209
u
17
−
65819
47
u
16
+ ··· +
2035122
2209
u +
698331
2209
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
18
+ 2u
16
+ ··· + 73u − 9
c
2
3(3u
18
+ 2u
17
+ ··· + 2u − 1)
c
3
9(9u
18
+ 43u
17
+ ··· + 2u + 1)
c
4
u
18
− u
17
+ ··· + u − 1
c
5
u
18
+ 5u
17
+ ··· + 5u − 1
c
6
3(3u
18
− 2u
17
+ ··· − 2u − 1)
c
7
3(3u
18
− 5u
17
+ ··· + 5u − 1)
c
8
u
18
− 2u
17
+ ··· − 16u + 3
c
9
u
18
+ u
17
+ ··· − u − 1
c
10
3(3u
18
+ 5u
17
+ ··· − 5u − 1)
c
11
u
18
+ u
17
+ ··· + u − 3
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
18
+ 4y
17
+ ··· − 1963y + 81
c
2
, c
6
9(9y
18
+ 92y
17
+ ··· + 20y + 1)
c
3
81(81y
18
− 337y
17
+ ··· + 68y + 1)
c
4
, c
9
y
18
− 7y
17
+ ··· + 7y + 1
c
5
y
18
+ 5y
17
+ ··· − 53y + 1
c
7
, c
10
9(9y
18
− 97y
17
+ ··· − 19y + 1)
c
8
y
18
+ 10y
17
+ ··· − 124y + 9
c
11
y
18
− 11y
17
+ ··· + 221y + 9
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.780995 + 0.440969I
a = −1.61273 − 1.14644I
b = 0.212915 + 0.379437I
4.36134 + 2.18737I 8.80548 − 3.19554I
u = 0.780995 − 0.440969I
a = −1.61273 + 1.14644I
b = 0.212915 − 0.379437I
4.36134 − 2.18737I 8.80548 + 3.19554I
u = −0.339102 + 1.086600I
a = −0.319782 + 0.346863I
b = −1.122480 + 0.498735I
−3.88886 + 2.12243I −8.14463 − 0.96498I
u = −0.339102 − 1.086600I
a = −0.319782 − 0.346863I
b = −1.122480 − 0.498735I
−3.88886 − 2.12243I −8.14463 + 0.96498I
u = 0.837209 + 0.048554I
a = −1.36354 − 3.19908I
b = 0.76892 + 2.11639I
1.21414 + 2.10668I −22.6892 + 85.4035I
u = 0.837209 − 0.048554I
a = −1.36354 + 3.19908I
b = 0.76892 − 2.11639I
1.21414 − 2.10668I −22.6892 − 85.4035I
u = 1.23070
a = 0.0833078
b = 0.609420
0.310540 −5.19690
u = −1.125920 + 0.547527I
a = −0.03613 − 1.67068I
b = 1.36242 + 0.64729I
−1.14935 − 7.43290I 0.39473 + 7.84303I
u = −1.125920 − 0.547527I
a = −0.03613 + 1.67068I
b = 1.36242 − 0.64729I
−1.14935 + 7.43290I 0.39473 − 7.84303I
u = −0.724029
a = −2.99527
b = −1.27402
−4.50458 −17.2590
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.191960 + 0.466111I
a = 0.567132 + 0.755264I
b = −0.157242 − 0.316666I
5.97627 + 1.80190I 7.12473 − 2.98531I
u = 1.191960 − 0.466111I
a = 0.567132 − 0.755264I
b = −0.157242 + 0.316666I
5.97627 − 1.80190I 7.12473 + 2.98531I
u = −0.581803 + 0.147990I
a = 2.71735 − 2.53340I
b = 1.167760 + 0.264907I
−0.02231 − 6.50584I −1.20256 + 7.92471I
u = −0.581803 − 0.147990I
a = 2.71735 + 2.53340I
b = 1.167760 − 0.264907I
−0.02231 + 6.50584I −1.20256 − 7.92471I
u = −1.35199 + 0.47087I
a = 0.504369 + 1.206670I
b = −0.940989 − 0.307748I
4.68551 − 7.79285I −0.53996 + 6.36550I
u = −1.35199 − 0.47087I
a = 0.504369 − 1.206670I
b = −0.940989 + 0.307748I
4.68551 + 7.79285I −0.53996 − 6.36550I
u = −0.498008 + 0.145181I
a = 0.999314 − 0.327313I
b = −1.45900 + 0.31070I
−4.14491 + 3.52032I −8.96118 − 2.06912I
u = −0.498008 − 0.145181I
a = 0.999314 + 0.327313I
b = −1.45900 − 0.31070I
−4.14491 − 3.52032I −8.96118 + 2.06912I
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
18
+ 2u
16
+ ··· + 73u − 9)(u
96
− 5u
95
+ ··· − 21760u − 2097)
c
2
9(3u
18
+ 2u
17
+ ··· + 2u − 1)(3u
96
+ 7u
95
+ ··· + 3339u − 297)
c
3
81(9u
18
+ 43u
17
+ ··· + 2u + 1)(9u
96
− 134u
95
+ ··· − 15u + 1)
c
4
(u
18
− u
17
+ ··· + u − 1)(u
96
− 6u
95
+ ··· + 6966u − 1849)
c
5
(u
18
+ 5u
17
+ ··· + 5u − 1)(u
96
+ 6u
95
+ ··· + 1962842u + 272431)
c
6
9(3u
18
− 2u
17
+ ··· − 2u − 1)(3u
96
+ 7u
95
+ ··· + 3339u − 297)
c
7
9(3u
18
− 5u
17
+ ··· + 5u − 1)(3u
96
+ 4u
95
+ ··· − 590u − 1097)
c
8
(u
18
− 2u
17
+ ··· − 16u + 3)(u
96
− u
95
+ ··· + 56419u − 24573)
c
9
(u
18
+ u
17
+ ··· − u − 1)(u
96
− 6u
95
+ ··· + 6966u − 1849)
c
10
9(3u
18
+ 5u
17
+ ··· − 5u − 1)(3u
96
+ 4u
95
+ ··· − 590u − 1097)
c
11
(u
18
+ u
17
+ ··· + u − 3)(u
96
+ 2u
95
+ ··· + 89272u − 13803)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
18
+ 4y
17
+ ··· − 1963y + 81)
· (y
96
+ 13y
95
+ ··· + 33993176y + 4397409)
c
2
, c
6
81(9y
18
+ 92y
17
+ ··· + 20y + 1)
· (9y
96
+ 593y
95
+ ··· + 7914915y + 88209)
c
3
6561(81y
18
− 337y
17
+ ··· + 68y + 1)
· (81y
96
− 1972y
95
+ ··· + 55y + 1)
c
4
, c
9
(y
18
− 7y
17
+ ··· + 7y + 1)
· (y
96
− 58y
95
+ ··· − 92290986y + 3418801)
c
5
(y
18
+ 5y
17
+ ··· − 53y + 1)
· (y
96
− 30y
95
+ ··· − 473184951454y + 74218649761)
c
7
, c
10
81(9y
18
− 97y
17
+ ··· − 19y + 1)
· (9y
96
− 460y
95
+ ··· − 30941236y + 1203409)
c
8
(y
18
+ 10y
17
+ ··· − 124y + 9)
· (y
96
− 17y
95
+ ··· − 17758136197y + 603832329)
c
11
(y
18
− 11y
17
+ ··· + 221y + 9)
· (y
96
+ 6y
95
+ ··· + 6944044184y + 190522809)
21
