11a
273
(K11a
273
)
A knot diagram
1
Linearized knot diagam
8 6 1 11 2 10 3 4 7 5 9
Solving Sequence
1,4 3,9
8 2 7 11 5 6 10
c
3
c
8
c
1
c
7
c
11
c
4
c
5
c
10
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.06666 × 10
485
u
100
− 3.41235 × 10
486
u
99
+ ··· + 2.42206 × 10
486
b + 4.73084 × 10
487
,
− 3.39554 × 10
486
u
100
+ 9.74479 × 10
486
u
99
+ ··· + 2.42206 × 10
486
a − 6.95932 × 10
487
,
2u
101
− 3u
100
+ ··· + 35u − 7i
I
u
2
= h61808523107u
19
+ 536394633246u
18
+ ··· + 299510947709b + 100240238594,
68387457437u
19
+ 547043741023u
18
+ ··· + 299510947709a + 331101363754,
u
20
+ 8u
19
+ ··· + 2u
2
+ 1i
I
u
3
= hb − 2u + 1, a, 2u
2
− 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
= h1.07 × 10
485
u
100
− 3.41 × 10
486
u
99
+ · · · + 2.42 × 10
486
b + 4.73 ×
10
487
, −3.40 × 10
486
u
100
+ 9.74 × 10
486
u
99
+ · · · + 2.42 × 10
486
a − 6.96 ×
10
487
, 2u
101
− 3u
100
+ · · · + 35u − 7i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
3
=
1
−u
2
a
9
=
1.40192u
100
− 4.02334u
99
+ ··· − 94.7128u + 28.7330
−0.0440391u
100
+ 1.40886u
99
+ ··· + 98.4076u − 19.5323
a
8
=
1.35788u
100
− 2.61448u
99
+ ··· + 3.69486u + 9.20073
−0.0440391u
100
+ 1.40886u
99
+ ··· + 98.4076u − 19.5323
a
2
=
5.77692u
100
− 6.87002u
99
+ ··· − 77.9350u + 9.89514
1.01775u
100
− 0.0986016u
99
+ ··· + 65.2026u − 18.2878
a
7
=
3.21671u
100
− 5.97036u
99
+ ··· − 109.574u + 30.7548
0.231287u
100
+ 0.930191u
99
+ ··· + 81.9680u − 17.5456
a
11
=
6.07414u
100
− 8.70607u
99
+ ··· − 188.680u + 36.7620
−1.31496u
100
+ 1.93465u
99
+ ··· + 47.5422u − 8.57902
a
5
=
0.431473u
100
− 4.89396u
99
+ ··· − 178.199u + 67.0158
−0.485513u
100
+ 0.496210u
99
+ ··· + 3.24494u − 3.96348
a
6
=
−2.82245u
100
+ 0.822439u
99
+ ··· − 125.329u + 46.6321
−1.90585u
100
+ 1.04687u
99
+ ··· − 48.8140u + 12.4729
a
10
=
−6.76378u
100
+ 5.57659u
99
+ ··· + 53.5301u + 1.49940
−1.05903u
100
+ 1.81446u
99
+ ··· + 31.6066u − 3.21755
a
10
=
−6.76378u
100
+ 5.57659u
99
+ ··· + 53.5301u + 1.49940
−1.05903u
100
+ 1.81446u
99
+ ··· + 31.6066u − 3.21755
(ii) Obstruction class = −1
(iii) Cusp Shapes = −8.98950u
100
+ 8.39126u
99
+ ··· + 221.775u + 20.5080
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
101
− 3u
100
+ ··· + 4162u + 679
c
2
, c
5
u
101
+ u
100
+ ··· − 8u − 21
c
3
2(2u
101
− 3u
100
+ ··· + 35u − 7)
c
4
, c
10
2(2u
101
+ 5u
100
+ ··· − 157973u − 15557)
c
6
, c
9
u
101
− 5u
100
+ ··· + 2016u + 189
c
7
2(2u
101
− u
100
+ ··· − 16872u − 3626)
c
8
u
101
− 2u
100
+ ··· + 4109u − 922
c
11
u
101
− 7u
100
+ ··· + 278u − 48
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
101
− 3y
100
+ ··· − 13847930y −461041
c
2
, c
5
y
101
− 47y
100
+ ··· + 6868y −441
c
3
4(4y
101
− 25y
100
+ ··· − 1127y −49)
c
4
, c
10
4(4y
101
+ 263y
100
+ ··· − 2.53465 × 10
9
y −2.42020 × 10
8
)
c
6
, c
9
y
101
+ 57y
100
+ ··· + 1976562y −35721
c
7
4(4y
101
+ 11y
100
+ ··· + 6.41717 × 10
8
y −1.31479 × 10
7
)
c
8
y
101
− 18y
100
+ ··· + 29207333y −850084
c
11
y
101
− 27y
100
+ ··· + 20068y −2304
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.162573 + 0.974272I
a = −1.262170 + 0.010151I
b = 1.58037 − 0.37347I
−0.02059 + 5.96503I 0
u = −0.162573 − 0.974272I
a = −1.262170 − 0.010151I
b = 1.58037 + 0.37347I
−0.02059 − 5.96503I 0
u = 0.689567 + 0.698627I
a = −1.42173 + 0.34274I
b = 1.18445 + 1.07344I
−7.77259 − 4.99480I 0
u = 0.689567 − 0.698627I
a = −1.42173 − 0.34274I
b = 1.18445 − 1.07344I
−7.77259 + 4.99480I 0
u = −1.033140 + 0.186380I
a = 2.16423 − 0.57598I
b = −0.653951 + 0.332093I
−6.73436 − 0.42071I 0
u = −1.033140 − 0.186380I
a = 2.16423 + 0.57598I
b = −0.653951 − 0.332093I
−6.73436 + 0.42071I 0
u = 0.512645 + 0.798376I
a = −0.39113 − 1.52925I
b = −0.489031 − 0.050472I
−0.00702 − 3.32914I 0
u = 0.512645 − 0.798376I
a = −0.39113 + 1.52925I
b = −0.489031 + 0.050472I
−0.00702 + 3.32914I 0
u = −0.049526 + 0.945665I
a = 0.524331 − 0.133494I
b = −0.917642 + 0.871253I
1.30478 + 2.43791I 0
u = −0.049526 − 0.945665I
a = 0.524331 + 0.133494I
b = −0.917642 − 0.871253I
1.30478 − 2.43791I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.931942
a = −0.383437
b = 0.756687
1.94160 0
u = 0.804867 + 0.460999I
a = −1.39565 − 0.27413I
b = 1.30392 + 0.91751I
−8.17127 − 4.22535I 0
u = 0.804867 − 0.460999I
a = −1.39565 + 0.27413I
b = 1.30392 − 0.91751I
−8.17127 + 4.22535I 0
u = 0.850076 + 0.665971I
a = −0.494629 + 0.150494I
b = 0.917725 − 0.594205I
1.71389 − 0.48354I 0
u = 0.850076 − 0.665971I
a = −0.494629 − 0.150494I
b = 0.917725 + 0.594205I
1.71389 + 0.48354I 0
u = 0.736117 + 0.509772I
a = 1.23733 − 1.09341I
b = −0.699805 − 0.662314I
−1.20250 − 5.71658I 0
u = 0.736117 − 0.509772I
a = 1.23733 + 1.09341I
b = −0.699805 + 0.662314I
−1.20250 + 5.71658I 0
u = 0.453601 + 0.752795I
a = 1.337860 + 0.190525I
b = −1.59249 − 0.24289I
0.156931 − 0.687508I 0
u = 0.453601 − 0.752795I
a = 1.337860 − 0.190525I
b = −1.59249 + 0.24289I
0.156931 + 0.687508I 0
u = −1.010540 + 0.516431I
a = 1.003550 − 0.239109I
b = −1.33198 + 1.03173I
−6.12003 + 8.35828I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.010540 − 0.516431I
a = 1.003550 + 0.239109I
b = −1.33198 − 1.03173I
−6.12003 − 8.35828I 0
u = −0.842576 + 0.782465I
a = 1.053510 + 0.288571I
b = −1.32128 + 1.04882I
−6.12272 + 1.23674I 0
u = −0.842576 − 0.782465I
a = 1.053510 − 0.288571I
b = −1.32128 − 1.04882I
−6.12272 − 1.23674I 0
u = −0.388183 + 0.738675I
a = 0.544652 + 0.291506I
b = −0.40370 − 1.42085I
−4.23278 + 3.89315I 0
u = −0.388183 − 0.738675I
a = 0.544652 − 0.291506I
b = −0.40370 + 1.42085I
−4.23278 − 3.89315I 0
u = −0.970357 + 0.645986I
a = −0.453336 − 0.828006I
b = 0.781821 + 0.053575I
−3.80282 − 0.02260I 0
u = −0.970357 − 0.645986I
a = −0.453336 + 0.828006I
b = 0.781821 − 0.053575I
−3.80282 + 0.02260I 0
u = −1.036610 + 0.545079I
a = −0.754419 − 0.527183I
b = 0.712667 − 0.382364I
−3.64603 + 1.09291I 0
u = −1.036610 − 0.545079I
a = −0.754419 + 0.527183I
b = 0.712667 + 0.382364I
−3.64603 − 1.09291I 0
u = 1.062250 + 0.531903I
a = 0.465709 − 0.781363I
b = −0.886908 + 0.325151I
−1.91279 + 4.66251I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.062250 − 0.531903I
a = 0.465709 + 0.781363I
b = −0.886908 − 0.325151I
−1.91279 − 4.66251I 0
u = −0.278205 + 0.756681I
a = −1.82131 − 0.30193I
b = 0.287945 − 0.496627I
2.28947 + 4.75466I 0
u = −0.278205 − 0.756681I
a = −1.82131 + 0.30193I
b = 0.287945 + 0.496627I
2.28947 − 4.75466I 0
u = 0.741803 + 0.272510I
a = −1.63354 + 2.53985I
b = 0.561613 − 0.050553I
−3.83195 − 8.38721I 0
u = 0.741803 − 0.272510I
a = −1.63354 − 2.53985I
b = 0.561613 + 0.050553I
−3.83195 + 8.38721I 0
u = 0.264658 + 1.197530I
a = 0.086215 + 0.385151I
b = 0.831981 − 0.485918I
−6.20705 + 0.67372I 0
u = 0.264658 − 1.197530I
a = 0.086215 − 0.385151I
b = 0.831981 + 0.485918I
−6.20705 − 0.67372I 0
u = 0.823796 + 0.924278I
a = 1.252680 − 0.079891I
b = −0.913444 − 0.834825I
1.31820 − 3.86141I 0
u = 0.823796 − 0.924278I
a = 1.252680 + 0.079891I
b = −0.913444 + 0.834825I
1.31820 + 3.86141I 0
u = −0.591881 + 1.108060I
a = 0.131032 + 0.424409I
b = −1.120630 − 0.145476I
−5.13070 + 4.43406I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.591881 − 1.108060I
a = 0.131032 − 0.424409I
b = −1.120630 + 0.145476I
−5.13070 − 4.43406I 0
u = 0.152994 + 0.699895I
a = 0.88671 + 1.33668I
b = 0.076379 + 0.751510I
4.76348 − 1.49515I 16.4972 + 0.I
u = 0.152994 − 0.699895I
a = 0.88671 − 1.33668I
b = 0.076379 − 0.751510I
4.76348 + 1.49515I 16.4972 + 0.I
u = 0.362267 + 0.609746I
a = −0.637141 + 0.294093I
b = 0.69740 − 1.83211I
−1.90244 − 9.55301I 0. + 11.89534I
u = 0.362267 − 0.609746I
a = −0.637141 − 0.294093I
b = 0.69740 + 1.83211I
−1.90244 + 9.55301I 0. − 11.89534I
u = −0.755106 + 1.046910I
a = 0.606568 + 0.069851I
b = −0.827102 + 0.693878I
0.18427 + 2.75704I 0
u = −0.755106 − 1.046910I
a = 0.606568 − 0.069851I
b = −0.827102 − 0.693878I
0.18427 − 2.75704I 0
u = 0.030974 + 0.678963I
a = 0.118398 − 0.303762I
b = −0.37765 + 2.05714I
2.09103 − 1.79734I 11.98843 + 5.51665I
u = 0.030974 − 0.678963I
a = 0.118398 + 0.303762I
b = −0.37765 − 2.05714I
2.09103 + 1.79734I 11.98843 − 5.51665I
u = 0.986583 + 0.962275I
a = −1.280250 + 0.378636I
b = 0.865841 + 0.792537I
2.00350 − 6.10245I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.986583 − 0.962275I
a = −1.280250 − 0.378636I
b = 0.865841 − 0.792537I
2.00350 + 6.10245I 0
u = 0.844430 + 1.098440I
a = 1.085600 − 0.187387I
b = −1.32152 − 1.01795I
−0.40633 − 11.38170I 0
u = 0.844430 − 1.098440I
a = 1.085600 + 0.187387I
b = −1.32152 + 1.01795I
−0.40633 + 11.38170I 0
u = −0.150116 + 0.591112I
a = 2.46575 + 2.34386I
b = −0.416339 + 0.820109I
−1.84072 + 8.55312I 10.2259 − 9.9993I
u = −0.150116 − 0.591112I
a = 2.46575 − 2.34386I
b = −0.416339 − 0.820109I
−1.84072 − 8.55312I 10.2259 + 9.9993I
u = 0.113545 + 0.578556I
a = 0.30291 − 2.53823I
b = −0.113123 − 1.202480I
1.62429 + 1.14001I 13.19922 + 4.57286I
u = 0.113545 − 0.578556I
a = 0.30291 + 2.53823I
b = −0.113123 + 1.202480I
1.62429 − 1.14001I 13.19922 − 4.57286I
u = −0.88435 + 1.10752I
a = −1.021890 − 0.115945I
b = 1.33203 − 0.81239I
−2.53838 + 6.84507I 0
u = −0.88435 − 1.10752I
a = −1.021890 + 0.115945I
b = 1.33203 + 0.81239I
−2.53838 − 6.84507I 0
u = 0.86527 + 1.13799I
a = −0.717474 + 0.108416I
b = 0.852678 + 0.917963I
4.60191 − 6.62398I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.86527 − 1.13799I
a = −0.717474 − 0.108416I
b = 0.852678 − 0.917963I
4.60191 + 6.62398I 0
u = 0.313290 + 0.474462I
a = 1.86363 − 0.00342I
b = −0.773568 − 0.600658I
0.18393 − 2.19511I 5.16572 + 4.08072I
u = 0.313290 − 0.474462I
a = 1.86363 + 0.00342I
b = −0.773568 + 0.600658I
0.18393 + 2.19511I 5.16572 − 4.08072I
u = 0.66443 + 1.28692I
a = −0.647899 − 0.034062I
b = 0.564316 + 0.620522I
2.72612 + 2.16280I 0
u = 0.66443 − 1.28692I
a = −0.647899 + 0.034062I
b = 0.564316 − 0.620522I
2.72612 − 2.16280I 0
u = −0.94117 + 1.10267I
a = −0.985931 + 0.005215I
b = 1.28476 − 0.75233I
−2.27749 + 6.83721I 0
u = −0.94117 − 1.10267I
a = −0.985931 − 0.005215I
b = 1.28476 + 0.75233I
−2.27749 − 6.83721I 0
u = 0.336896 + 0.417853I
a = 1.64379 + 0.50942I
b = −1.30051 + 0.79781I
0.50891 − 4.92178I 4.79399 + 10.08944I
u = 0.336896 − 0.417853I
a = 1.64379 − 0.50942I
b = −1.30051 − 0.79781I
0.50891 + 4.92178I 4.79399 − 10.08944I
u = 0.039695 + 0.535056I
a = −0.945138 + 0.047564I
b = 0.224044 + 0.767405I
0.846080 + 0.799596I 7.63536 − 5.31715I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.039695 − 0.535056I
a = −0.945138 − 0.047564I
b = 0.224044 − 0.767405I
0.846080 − 0.799596I 7.63536 + 5.31715I
u = −0.94438 + 1.12757I
a = 0.144992 − 0.533370I
b = 0.468535 − 0.023839I
−2.80969 + 0.46563I 0
u = −0.94438 − 1.12757I
a = 0.144992 + 0.533370I
b = 0.468535 + 0.023839I
−2.80969 − 0.46563I 0
u = −1.47547 + 0.13114I
a = −1.181040 − 0.332446I
b = 0.739068 + 0.234419I
−4.69490 − 0.90727I 0
u = −1.47547 − 0.13114I
a = −1.181040 + 0.332446I
b = 0.739068 − 0.234419I
−4.69490 + 0.90727I 0
u = 1.53599 + 0.04816I
a = 0.345398 − 0.277352I
b = −0.486062 + 0.642808I
−0.75196 − 1.66188I 0
u = 1.53599 − 0.04816I
a = 0.345398 + 0.277352I
b = −0.486062 − 0.642808I
−0.75196 + 1.66188I 0
u = 0.032794 + 0.447104I
a = −1.202960 − 0.612421I
b = 1.30013 − 1.27083I
3.61554 + 0.53392I 18.1773 − 6.5335I
u = 0.032794 − 0.447104I
a = −1.202960 + 0.612421I
b = 1.30013 + 1.27083I
3.61554 − 0.53392I 18.1773 + 6.5335I
u = −0.200562 + 0.389808I
a = −1.85019 + 0.44369I
b = 0.626986 + 1.026020I
−0.051694 + 0.795294I 5.51068 − 2.54673I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.200562 − 0.389808I
a = −1.85019 − 0.44369I
b = 0.626986 − 1.026020I
−0.051694 − 0.795294I 5.51068 + 2.54673I
u = 1.03319 + 1.17112I
a = −1.079930 + 0.107234I
b = 1.27350 + 0.97368I
−3.9285 − 18.4008I 0
u = 1.03319 − 1.17112I
a = −1.079930 − 0.107234I
b = 1.27350 − 0.97368I
−3.9285 + 18.4008I 0
u = −1.06049 + 1.15726I
a = 1.124610 + 0.128893I
b = −1.21439 + 0.85227I
−6.55585 + 11.40730I 0
u = −1.06049 − 1.15726I
a = 1.124610 − 0.128893I
b = −1.21439 − 0.85227I
−6.55585 − 11.40730I 0
u = 0.295302 + 0.298106I
a = −4.66627 − 0.82032I
b = 0.782808 + 0.366825I
−6.36070 − 3.12946I −1.98397 + 7.58733I
u = 0.295302 − 0.298106I
a = −4.66627 + 0.82032I
b = 0.782808 − 0.366825I
−6.36070 + 3.12946I −1.98397 − 7.58733I
u = −1.02852 + 1.23233I
a = −0.768313 − 0.023319I
b = 0.990970 − 0.663016I
−1.49835 + 6.68804I 0
u = −1.02852 − 1.23233I
a = −0.768313 + 0.023319I
b = 0.990970 + 0.663016I
−1.49835 − 6.68804I 0
u = 1.12047 + 1.20692I
a = 0.712384 + 0.088678I
b = −0.850565 − 0.913669I
1.48534 − 11.59500I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.12047 − 1.20692I
a = 0.712384 − 0.088678I
b = −0.850565 + 0.913669I
1.48534 + 11.59500I 0
u = 1.03544 + 1.31080I
a = 0.574512 − 0.148868I
b = −0.573136 − 0.410363I
3.20074 − 2.34746I 0
u = 1.03544 − 1.31080I
a = 0.574512 + 0.148868I
b = −0.573136 + 0.410363I
3.20074 + 2.34746I 0
u = 1.44306 + 0.92377I
a = −0.407283 + 0.499562I
b = 0.829235 − 0.288737I
−4.91117 + 9.93167I 0
u = 1.44306 − 0.92377I
a = −0.407283 − 0.499562I
b = 0.829235 + 0.288737I
−4.91117 − 9.93167I 0
u = −0.237713 + 0.081822I
a = 2.43369 − 5.95278I
b = −0.865423 − 0.291521I
−3.94300 − 3.16462I −1.25002 + 4.22395I
u = −0.237713 − 0.081822I
a = 2.43369 + 5.95278I
b = −0.865423 + 0.291521I
−3.94300 + 3.16462I −1.25002 − 4.22395I
u = −1.47071 + 0.97844I
a = 0.550029 + 0.402324I
b = −0.797336 − 0.240875I
−7.34821 − 2.77790I 0
u = −1.47071 − 0.97844I
a = 0.550029 − 0.402324I
b = −0.797336 + 0.240875I
−7.34821 + 2.77790I 0
u = −2.34981 + 1.07326I
a = 0.0512416 − 0.0723653I
b = −0.201906 + 0.465625I
−1.92376 − 0.50897I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −2.34981 − 1.07326I
a = 0.0512416 + 0.0723653I
b = −0.201906 − 0.465625I
−1.92376 + 0.50897I 0
15
II. I
u
2
=
h6.18×10
10
u
19
+5.36×10
11
u
18
+· · ·+3.00×10
11
b+1.00×10
11
, 6.84×10
10
u
19
+
5.47 × 10
11
u
18
+ · · · + 3.00 × 10
11
a + 3.31 × 10
11
, u
20
+ 8u
19
+ · · · + 2u
2
+ 1i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
3
=
1
−u
2
a
9
=
−0.228330u
19
− 1.82646u
18
+ ··· − 4.77533u − 1.10547
−0.206365u
19
− 1.79090u
18
+ ··· − 1.76463u − 0.334680
a
8
=
−0.434695u
19
− 3.61736u
18
+ ··· − 6.53996u − 1.44015
−0.206365u
19
− 1.79090u
18
+ ··· − 1.76463u − 0.334680
a
2
=
−2.47993u
19
− 20.3939u
18
+ ··· − 6.79019u + 0.0292059
−0.655089u
19
− 5.31536u
18
+ ··· − 2.67607u + 0.186776
a
7
=
−0.628556u
19
− 5.05437u
18
+ ··· − 5.21002u − 1.24527
0.000881400u
19
− 0.141553u
18
+ ··· − 1.95849u − 0.220810
a
11
=
−1.00431u
19
− 8.67050u
18
+ ··· − 0.997356u − 0.0782033
−0.820531u
19
− 6.40799u
18
+ ··· − 1.11677u − 0.0793664
a
5
=
−0.600870u
19
− 3.40028u
18
+ ··· − 3.29482u + 1.14602
0.106413u
19
+ 1.03970u
18
+ ··· − 0.128315u + 1.34635
a
6
=
−2.82197u
19
− 22.3877u
18
+ ··· − 7.89214u − 0.0209057
−0.499388u
19
− 3.86656u
18
+ ··· − 2.97954u + 1.01286
a
10
=
0.542089u
19
+ 4.52268u
18
+ ··· + 2.56849u + 0.0758445
0.772119u
19
+ 5.83775u
18
+ ··· + 0.105099u − 0.0205853
a
10
=
0.542089u
19
+ 4.52268u
18
+ ··· + 2.56849u + 0.0758445
0.772119u
19
+ 5.83775u
18
+ ··· + 0.105099u − 0.0205853
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
833637008495
299510947709
u
19
+
7138907008988
299510947709
u
18
+ ··· +
1695401428871
299510947709
u +
730310901784
299510947709
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
20
+ 2u
19
+ ··· − 10u
2
+ 1
c
2
u
20
− 4u
19
+ ··· − 6u + 1
c
3
u
20
+ 8u
19
+ ··· + 2u
2
+ 1
c
4
u
20
+ 4u
19
+ ··· − 8u + 1
c
5
u
20
+ 4u
19
+ ··· + 6u + 1
c
6
u
20
+ 6u
19
+ ··· + 2u + 1
c
7
u
20
+ 6u
18
+ ··· + 7u + 5
c
8
u
20
− 2u
18
+ ··· − u
3
+ 1
c
9
u
20
− 6u
19
+ ··· − 2u + 1
c
10
u
20
− 4u
19
+ ··· + 8u + 1
c
11
u
20
+ 4u
19
+ ··· + 71u + 7
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
20
− 12y
19
+ ··· − 20y + 1
c
2
, c
5
y
20
− 8y
19
+ ··· − 18y + 1
c
3
y
20
− 14y
19
+ ··· + 4y + 1
c
4
, c
10
y
20
+ 6y
19
+ ··· − 10y + 1
c
6
, c
9
y
20
+ 12y
19
+ ··· + 20y + 1
c
7
y
20
+ 12y
19
+ ··· + 11y + 25
c
8
y
20
− 4y
19
+ ··· − 12y
2
+ 1
c
11
y
20
− 18y
19
+ ··· − 435y + 49
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.894288 + 0.542203I
a = 1.04503 + 1.19699I
b = −0.536692 − 0.309160I
−6.55589 − 1.90355I −0.93873 + 1.80301I
u = −0.894288 − 0.542203I
a = 1.04503 − 1.19699I
b = −0.536692 + 0.309160I
−6.55589 + 1.90355I −0.93873 − 1.80301I
u = 0.713833 + 0.549585I
a = 0.719380 + 0.294874I
b = −1.068900 + 0.026577I
2.56410 − 0.84466I 9.03889 + 5.09380I
u = 0.713833 − 0.549585I
a = 0.719380 − 0.294874I
b = −1.068900 − 0.026577I
2.56410 + 0.84466I 9.03889 − 5.09380I
u = −0.659841 + 0.575976I
a = 1.53242 + 0.11537I
b = −1.22898 + 1.04681I
−7.55275 + 4.43078I 7.56186 − 0.93053I
u = −0.659841 − 0.575976I
a = 1.53242 − 0.11537I
b = −1.22898 − 1.04681I
−7.55275 − 4.43078I 7.56186 + 0.93053I
u = −0.079411 + 0.757058I
a = −1.255640 − 0.527563I
b = 1.079970 − 0.086486I
1.12249 + 4.07831I 8.09612 − 4.25313I
u = −0.079411 − 0.757058I
a = −1.255640 + 0.527563I
b = 1.079970 + 0.086486I
1.12249 − 4.07831I 8.09612 + 4.25313I
u = 0.974774 + 0.960736I
a = 1.150600 − 0.336814I
b = −0.860791 − 0.761793I
2.78821 − 5.63151I 8.69462 + 3.84058I
u = 0.974774 − 0.960736I
a = 1.150600 + 0.336814I
b = −0.860791 + 0.761793I
2.78821 + 5.63151I 8.69462 − 3.84058I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.87068 + 1.14719I
a = −0.972677 + 0.015519I
b = 1.36435 − 0.70579I
−2.09736 + 7.25746I 5.4336 − 16.3698I
u = −0.87068 − 1.14719I
a = −0.972677 − 0.015519I
b = 1.36435 + 0.70579I
−2.09736 − 7.25746I 5.4336 + 16.3698I
u = 0.525686 + 0.103428I
a = −2.74019 + 0.51080I
b = 0.107814 + 0.870985I
−2.81189 − 8.50342I 2.16622 + 7.62575I
u = 0.525686 − 0.103428I
a = −2.74019 − 0.51080I
b = 0.107814 − 0.870985I
−2.81189 + 8.50342I 2.16622 − 7.62575I
u = −1.46576 + 0.20896I
a = −1.113590 − 0.541485I
b = 0.712386 + 0.149903I
−4.80980 − 0.48058I −2.92255 − 5.81288I
u = −1.46576 − 0.20896I
a = −1.113590 + 0.541485I
b = 0.712386 − 0.149903I
−4.80980 + 0.48058I −2.92255 + 5.81288I
u = 0.022244 + 0.447467I
a = −0.28160 − 2.48134I
b = 0.34534 − 1.42522I
1.29205 − 1.53764I 1.05852 + 6.01902I
u = 0.022244 − 0.447467I
a = −0.28160 + 2.48134I
b = 0.34534 + 1.42522I
1.29205 + 1.53764I 1.05852 − 6.01902I
u = −2.26656 + 0.16524I
a = −0.0837337 + 0.0578754I
b = 0.085509 − 0.514806I
−2.03342 − 0.46303I −9.6886 − 23.5396I
u = −2.26656 − 0.16524I
a = −0.0837337 − 0.0578754I
b = 0.085509 + 0.514806I
−2.03342 + 0.46303I −9.6886 + 23.5396I
20
III. I
u
3
= hb − 2u + 1, a, 2u
2
− u + 1i
(i) Arc colorings
a
1
=
0
u
a
4
=
1
0
a
3
=
1
−
1
2
u +
1
2
a
9
=
0
2u − 1
a
8
=
2u − 1
2u − 1
a
2
=
−2u + 1
−u + 1
a
7
=
u
5
4
u −
3
4
a
11
=
0
u
a
5
=
1
−
1
2
u +
1
2
a
6
=
2u
1
2
u −
1
2
a
10
=
−u
3
4
u −
1
4
a
10
=
−u
3
4
u −
1
4
(ii) Obstruction class = 1
(iii) Cusp Shapes =
45
8
u +
73
8
21
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
9
(u − 1)
2
c
2
, c
6
(u + 1)
2
c
3
, c
4
2(2u
2
− u + 1)
c
7
2(2u
2
− 3u + 2)
c
8
u
2
− u + 2
c
10
2(2u
2
+ u + 1)
c
11
u
2
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
9
(y − 1)
2
c
3
, c
4
, c
10
4(4y
2
+ 3y + 1)
c
7
4(4y
2
− y + 4)
c
8
y
2
+ 3y + 4
c
11
y
2
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.250000 + 0.661438I
a = 0
b = −0.50000 + 1.32288I
3.28987 10.53125 + 3.72059I
u = 0.250000 − 0.661438I
a = 0
b = −0.50000 − 1.32288I
3.28987 10.53125 − 3.72059I
24
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
2
)(u
20
+ 2u
19
+ ··· − 10u
2
+ 1)(u
101
− 3u
100
+ ··· + 4162u + 679)
c
2
((u + 1)
2
)(u
20
− 4u
19
+ ··· − 6u + 1)(u
101
+ u
100
+ ··· − 8u − 21)
c
3
4(2u
2
− u + 1)(u
20
+ 8u
19
+ ··· + 2u
2
+ 1)(2u
101
− 3u
100
+ ··· + 35u − 7)
c
4
4(2u
2
− u + 1)(u
20
+ 4u
19
+ ··· − 8u + 1)
· (2u
101
+ 5u
100
+ ··· − 157973u − 15557)
c
5
((u − 1)
2
)(u
20
+ 4u
19
+ ··· + 6u + 1)(u
101
+ u
100
+ ··· − 8u − 21)
c
6
((u + 1)
2
)(u
20
+ 6u
19
+ ··· + 2u + 1)(u
101
− 5u
100
+ ··· + 2016u + 189)
c
7
4(2u
2
− 3u + 2)(u
20
+ 6u
18
+ ··· + 7u + 5)
· (2u
101
− u
100
+ ··· − 16872u − 3626)
c
8
(u
2
− u + 2)(u
20
− 2u
18
+ ··· − u
3
+ 1)(u
101
− 2u
100
+ ··· + 4109u − 922)
c
9
((u − 1)
2
)(u
20
− 6u
19
+ ··· − 2u + 1)(u
101
− 5u
100
+ ··· + 2016u + 189)
c
10
4(2u
2
+ u + 1)(u
20
− 4u
19
+ ··· + 8u + 1)
· (2u
101
+ 5u
100
+ ··· − 157973u − 15557)
c
11
u
2
(u
20
+ 4u
19
+ ··· + 71u + 7)(u
101
− 7u
100
+ ··· + 278u − 48)
25
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y − 1)
2
)(y
20
− 12y
19
+ ··· − 20y + 1)
· (y
101
− 3y
100
+ ··· − 13847930y − 461041)
c
2
, c
5
((y − 1)
2
)(y
20
− 8y
19
+ ··· − 18y + 1)
· (y
101
− 47y
100
+ ··· + 6868y − 441)
c
3
16(4y
2
+ 3y + 1)(y
20
− 14y
19
+ ··· + 4y + 1)
· (4y
101
− 25y
100
+ ··· − 1127y − 49)
c
4
, c
10
16(4y
2
+ 3y + 1)(y
20
+ 6y
19
+ ··· − 10y + 1)
· (4y
101
+ 263y
100
+ ··· − 2534652577y − 242020249)
c
6
, c
9
((y − 1)
2
)(y
20
+ 12y
19
+ ··· + 20y + 1)
· (y
101
+ 57y
100
+ ··· + 1976562y − 35721)
c
7
16(4y
2
− y + 4)(y
20
+ 12y
19
+ ··· + 11y + 25)
· (4y
101
+ 11y
100
+ ··· + 641716604y − 13147876)
c
8
(y
2
+ 3y + 4)(y
20
− 4y
19
+ ··· − 12y
2
+ 1)
· (y
101
− 18y
100
+ ··· + 29207333y − 850084)
c
11
y
2
(y
20
− 18y
19
+ ··· − 435y + 49)
· (y
101
− 27y
100
+ ··· + 20068y − 2304)
26
