12a
1075
(K12a
1075
)
A knot diagram
1
Linearized knot diagam
4 7 10 9 12 11 3 5 1 2 6 8
Solving Sequence
5,8 1,9
10 4 2 3 7 12 6 11
c
8
c
9
c
4
c
1
c
3
c
7
c
12
c
5
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h3.72612 × 10
441
u
119
+ 2.23519 × 10
442
u
118
+ ··· + 6.93517 × 10
441
b + 7.61910 × 10
442
,
− 1.13200 × 10
442
u
119
− 8.72311 × 10
442
u
118
+ ··· + 2.77407 × 10
442
a − 2.01129 × 10
443
,
u
120
+ 4u
119
+ ··· + 176u + 16i
I
u
2
= h−11729899u
29
+ 392758785u
28
+ ··· + 663256056b − 336061032,
313877822u
29
− 659380977u
28
+ ··· + 663256056a + 3199377682, u
30
− u
29
+ ··· + 16u + 4i
* 2 irreducible components of dim
C
= 0, with total 150 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
= h3.73 × 10
441
u
119
+ 2.24 × 10
442
u
118
+ · · · + 6.94 × 10
441
b + 7.62 ×
10
442
, −1.13 × 10
442
u
119
− 8.72 × 10
442
u
118
+ · · · + 2.77 × 10
442
a − 2.01 ×
10
443
, u
120
+ 4u
119
+ · · · + 176u + 16i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
1
=
0.408064u
119
+ 3.14452u
118
+ ··· + 149.127u + 7.25033
−0.537279u
119
− 3.22299u
118
+ ··· − 126.152u − 10.9862
a
9
=
1
u
2
a
10
=
0.133061u
119
− 1.76548u
118
+ ··· − 287.316u − 19.5313
0.157698u
119
+ 0.894253u
118
+ ··· + 28.6860u + 1.72084
a
4
=
u
u
3
+ u
a
2
=
0.0309732u
119
+ 1.11273u
118
+ ··· + 80.2324u + 1.22501
−0.286921u
119
− 2.01484u
118
+ ··· − 96.8888u − 8.63661
a
3
=
−1.30794u
119
− 5.76141u
118
+ ··· − 133.536u − 9.65675
−0.320020u
119
− 1.44002u
118
+ ··· − 32.1909u − 3.68571
a
7
=
−1.21287u
119
− 5.16416u
118
+ ··· + 49.6915u + 7.33530
0.143813u
119
+ 0.399070u
118
+ ··· − 25.2449u − 1.30807
a
12
=
−0.129215u
119
− 0.0784645u
118
+ ··· + 22.9748u − 3.73586
−0.537279u
119
− 3.22299u
118
+ ··· − 126.152u − 10.9862
a
6
=
0.976745u
119
+ 4.50726u
118
+ ··· + 53.6799u + 5.26035
−1.14558u
119
− 3.97966u
118
+ ··· + 37.4447u + 4.69013
a
11
=
0.841118u
119
+ 1.64638u
118
+ ··· − 264.638u − 25.8472
0.0713272u
119
+ 1.27908u
118
+ ··· + 113.008u + 10.1802
(ii) Obstruction class = −1
(iii) Cusp Shapes = 2.82220u
119
+ 11.1817u
118
+ ··· + 52.9511u + 4.35858
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
120
− 12u
119
+ ··· − 105451u + 8381
c
2
, c
7
u
120
+ 2u
119
+ ··· − 10425u + 6379
c
3
u
120
+ u
119
+ ··· + 172u + 11
c
4
, c
8
u
120
+ 4u
119
+ ··· + 176u + 16
c
5
, c
6
, c
11
u
120
− u
119
+ ··· − 4711u + 667
c
9
u
120
− 4u
119
+ ··· + 42u + 11
c
10
u
120
− 30u
118
+ ··· − 6834664u + 20792117
c
12
u
120
+ u
119
+ ··· + 84308126u + 35235131
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
120
+ 36y
119
+ ··· + 4420639659y + 70241161
c
2
, c
7
y
120
− 84y
119
+ ··· − 765539013y + 40691641
c
3
y
120
+ 15y
119
+ ··· + 5726y + 121
c
4
, c
8
y
120
+ 102y
119
+ ··· − 6912y + 256
c
5
, c
6
, c
11
y
120
+ 141y
119
+ ··· + 27200497y + 444889
c
9
y
120
+ 110y
118
+ ··· + 5298y + 121
c
10
y
120
− 60y
119
+ ··· − 3535423773129192y + 432312129341689
c
12
y
120
+ 67y
119
+ ··· + 44858396743231608y + 1241514456587161
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.997060 + 0.155292I
a = 0.0384016 + 0.1145680I
b = −0.842177 − 0.631123I
1.98018 − 8.81242I 0
u = 0.997060 − 0.155292I
a = 0.0384016 − 0.1145680I
b = −0.842177 + 0.631123I
1.98018 + 8.81242I 0
u = −0.601243 + 0.771166I
a = 0.813940 + 0.283363I
b = −0.621526 − 0.557357I
−0.92514 + 2.55810I 0
u = −0.601243 − 0.771166I
a = 0.813940 − 0.283363I
b = −0.621526 + 0.557357I
−0.92514 − 2.55810I 0
u = −1.037890 + 0.181103I
a = 0.180007 − 0.080743I
b = −0.571054 + 0.389492I
−1.76846 + 3.67590I 0
u = −1.037890 − 0.181103I
a = 0.180007 + 0.080743I
b = −0.571054 − 0.389492I
−1.76846 − 3.67590I 0
u = 0.647251 + 0.834053I
a = −1.30505 + 0.63619I
b = 0.15586 − 1.50651I
5.36355 − 2.53103I 0
u = 0.647251 − 0.834053I
a = −1.30505 − 0.63619I
b = 0.15586 + 1.50651I
5.36355 + 2.53103I 0
u = −0.264406 + 0.899217I
a = 0.274431 + 1.247060I
b = 0.241776 − 0.902567I
−0.43312 + 1.50393I 0
u = −0.264406 − 0.899217I
a = 0.274431 − 1.247060I
b = 0.241776 + 0.902567I
−0.43312 − 1.50393I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.080116 + 1.065280I
a = 0.71043 − 1.30579I
b = −0.578713 + 0.719695I
2.15815 + 2.38721I 0
u = −0.080116 − 1.065280I
a = 0.71043 + 1.30579I
b = −0.578713 − 0.719695I
2.15815 − 2.38721I 0
u = 0.163464 + 0.913347I
a = −0.577288 + 0.465106I
b = 1.41344 − 0.24530I
0.43101 − 2.97537I 0
u = 0.163464 − 0.913347I
a = −0.577288 − 0.465106I
b = 1.41344 + 0.24530I
0.43101 + 2.97537I 0
u = 0.259984 + 1.099700I
a = −0.30600 − 1.79640I
b = 1.01869 + 1.51224I
3.73125 − 6.13320I 0
u = 0.259984 − 1.099700I
a = −0.30600 + 1.79640I
b = 1.01869 − 1.51224I
3.73125 + 6.13320I 0
u = 0.792528 + 0.326858I
a = −0.111014 − 0.451742I
b = −0.618881 − 0.852939I
2.71259 − 2.58388I 0
u = 0.792528 − 0.326858I
a = −0.111014 + 0.451742I
b = −0.618881 + 0.852939I
2.71259 + 2.58388I 0
u = 0.854709 + 0.000169I
a = 0.432488 + 0.076734I
b = 0.162238 − 0.730395I
3.97435 − 0.08833I 0
u = 0.854709 − 0.000169I
a = 0.432488 − 0.076734I
b = 0.162238 + 0.730395I
3.97435 + 0.08833I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.795264 + 0.153084I
a = 0.287557 + 0.595180I
b = −0.658467 + 1.205740I
4.86393 + 3.48843I 0
u = −0.795264 − 0.153084I
a = 0.287557 − 0.595180I
b = −0.658467 − 1.205740I
4.86393 − 3.48843I 0
u = −0.328756 + 1.146120I
a = −0.08218 − 2.18274I
b = −1.24715 + 2.43802I
11.5929 + 8.5289I 0
u = −0.328756 − 1.146120I
a = −0.08218 + 2.18274I
b = −1.24715 − 2.43802I
11.5929 − 8.5289I 0
u = −0.113420 + 1.208560I
a = −0.66599 − 1.88489I
b = 1.02115 + 1.93305I
7.02433 + 5.04561I 0
u = −0.113420 − 1.208560I
a = −0.66599 + 1.88489I
b = 1.02115 − 1.93305I
7.02433 − 5.04561I 0
u = −0.716768 + 0.293774I
a = −1.27622 + 0.85814I
b = 0.607399 + 1.103350I
9.05152 − 4.61063I 0
u = −0.716768 − 0.293774I
a = −1.27622 − 0.85814I
b = 0.607399 − 1.103350I
9.05152 + 4.61063I 0
u = 0.005789 + 1.229110I
a = −1.133040 − 0.812110I
b = −0.556977 + 0.460644I
11.88010 + 1.14020I 0
u = 0.005789 − 1.229110I
a = −1.133040 + 0.812110I
b = −0.556977 − 0.460644I
11.88010 − 1.14020I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.458346 + 1.143630I
a = −0.958222 − 0.481606I
b = −0.276910 + 0.789615I
7.74673 + 0.95719I 0
u = −0.458346 − 1.143630I
a = −0.958222 + 0.481606I
b = −0.276910 − 0.789615I
7.74673 − 0.95719I 0
u = 0.068494 + 1.231050I
a = −0.156613 − 1.337530I
b = −0.306630 + 0.831609I
3.88824 + 0.70963I 0
u = 0.068494 − 1.231050I
a = −0.156613 + 1.337530I
b = −0.306630 − 0.831609I
3.88824 − 0.70963I 0
u = 0.023307 + 1.236670I
a = 0.198656 + 1.334160I
b = −1.49023 − 1.25302I
9.11727 + 1.44245I 0
u = 0.023307 − 1.236670I
a = 0.198656 − 1.334160I
b = −1.49023 + 1.25302I
9.11727 − 1.44245I 0
u = −0.043678 + 1.236630I
a = −0.33976 + 1.91669I
b = −0.251642 − 1.008870I
7.43407 − 3.48374I 0
u = −0.043678 − 1.236630I
a = −0.33976 − 1.91669I
b = −0.251642 + 1.008870I
7.43407 + 3.48374I 0
u = 0.172706 + 1.228910I
a = −0.924628 − 0.655584I
b = 0.181142 + 0.194501I
5.04503 + 0.67908I 0
u = 0.172706 − 1.228910I
a = −0.924628 + 0.655584I
b = 0.181142 − 0.194501I
5.04503 − 0.67908I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.073238 + 1.240730I
a = 0.68583 − 2.22932I
b = −1.92385 + 2.33511I
13.8536 − 5.5955I 0
u = −0.073238 − 1.240730I
a = 0.68583 + 2.22932I
b = −1.92385 − 2.33511I
13.8536 + 5.5955I 0
u = 0.260529 + 1.215970I
a = 0.13896 + 1.51889I
b = 0.032878 − 0.913255I
2.03580 − 4.58641I 0
u = 0.260529 − 1.215970I
a = 0.13896 − 1.51889I
b = 0.032878 + 0.913255I
2.03580 + 4.58641I 0
u = −1.200470 + 0.341560I
a = −0.080500 − 0.196637I
b = 0.597030 − 0.974530I
9.3530 + 12.2656I 0
u = −1.200470 − 0.341560I
a = −0.080500 + 0.196637I
b = 0.597030 + 0.974530I
9.3530 − 12.2656I 0
u = −0.294620 + 1.229930I
a = 0.32210 − 1.73232I
b = −0.364442 + 0.691167I
4.87614 + 7.18265I 0
u = −0.294620 − 1.229930I
a = 0.32210 + 1.73232I
b = −0.364442 − 0.691167I
4.87614 − 7.18265I 0
u = −0.696395 + 0.096250I
a = 0.402638 − 0.807233I
b = 0.922511 + 0.306068I
1.38309 − 3.56485I 0
u = −0.696395 − 0.096250I
a = 0.402638 + 0.807233I
b = 0.922511 − 0.306068I
1.38309 + 3.56485I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.062132 + 1.301210I
a = −0.96166 + 1.38530I
b = 0.246494 − 1.044430I
5.20704 + 2.50252I 0
u = −0.062132 − 1.301210I
a = −0.96166 − 1.38530I
b = 0.246494 + 1.044430I
5.20704 − 2.50252I 0
u = 0.648831 + 0.225112I
a = 0.126438 + 0.892371I
b = 0.526872 − 0.120809I
−1.08554 + 1.30491I −4.00000 + 0.I
u = 0.648831 − 0.225112I
a = 0.126438 − 0.892371I
b = 0.526872 + 0.120809I
−1.08554 − 1.30491I −4.00000 + 0.I
u = 0.366284 + 1.261280I
a = −0.40444 + 1.46866I
b = −0.503492 − 0.923796I
7.88774 − 4.24991I 0
u = 0.366284 − 1.261280I
a = −0.40444 − 1.46866I
b = −0.503492 + 0.923796I
7.88774 + 4.24991I 0
u = 0.223188 + 1.303600I
a = 0.35272 + 1.95512I
b = −0.65030 − 1.67629I
3.20853 − 5.66014I 0
u = 0.223188 − 1.303600I
a = 0.35272 − 1.95512I
b = −0.65030 + 1.67629I
3.20853 + 5.66014I 0
u = −0.260580 + 1.302170I
a = 0.42202 − 1.47493I
b = −0.719197 + 0.999708I
2.85036 + 3.25361I 0
u = −0.260580 − 1.302170I
a = 0.42202 + 1.47493I
b = −0.719197 − 0.999708I
2.85036 − 3.25361I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.174216 + 1.333900I
a = 0.671817 + 0.319034I
b = −1.175690 − 0.467293I
6.07411 − 0.42056I 0
u = −0.174216 − 1.333900I
a = 0.671817 − 0.319034I
b = −1.175690 + 0.467293I
6.07411 + 0.42056I 0
u = −0.139479 + 1.340130I
a = 0.64725 + 1.52497I
b = 0.60894 − 1.40766I
15.3872 + 8.7165I 0
u = −0.139479 − 1.340130I
a = 0.64725 − 1.52497I
b = 0.60894 + 1.40766I
15.3872 − 8.7165I 0
u = 0.132800 + 1.357680I
a = 0.241513 − 1.290220I
b = 0.92682 + 1.26940I
11.25790 − 3.60473I 0
u = 0.132800 − 1.357680I
a = 0.241513 + 1.290220I
b = 0.92682 − 1.26940I
11.25790 + 3.60473I 0
u = −0.022475 + 1.367120I
a = −1.094530 + 0.491114I
b = 2.26661 − 0.56620I
13.87060 − 0.89118I 0
u = −0.022475 − 1.367120I
a = −1.094530 − 0.491114I
b = 2.26661 + 0.56620I
13.87060 + 0.89118I 0
u = 0.403775 + 1.311240I
a = 0.367688 − 1.358280I
b = 0.12095 + 1.50805I
8.08169 − 4.66243I 0
u = 0.403775 − 1.311240I
a = 0.367688 + 1.358280I
b = 0.12095 − 1.50805I
8.08169 + 4.66243I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.624790 + 0.013315I
a = 0.0370899 + 0.0565450I
b = 0.886970 − 0.109348I
−1.299460 + 0.028434I −8.94087 + 0.42522I
u = −0.624790 − 0.013315I
a = 0.0370899 − 0.0565450I
b = 0.886970 + 0.109348I
−1.299460 − 0.028434I −8.94087 − 0.42522I
u = −0.328691 + 1.355460I
a = −0.08147 + 2.09787I
b = 1.16558 − 2.27422I
9.61783 + 7.52528I 0
u = −0.328691 − 1.355460I
a = −0.08147 − 2.09787I
b = 1.16558 + 2.27422I
9.61783 − 7.52528I 0
u = −0.16844 + 1.40946I
a = 0.365683 + 0.586197I
b = 0.795021 − 0.723661I
14.7531 − 1.5980I 0
u = −0.16844 − 1.40946I
a = 0.365683 − 0.586197I
b = 0.795021 + 0.723661I
14.7531 + 1.5980I 0
u = 0.56192 + 1.31104I
a = −0.274752 + 0.760777I
b = −0.617915 − 1.041280I
4.88028 − 3.42344I 0
u = 0.56192 − 1.31104I
a = −0.274752 − 0.760777I
b = −0.617915 + 1.041280I
4.88028 + 3.42344I 0
u = 0.32393 + 1.40244I
a = −0.22335 − 1.77350I
b = 1.20252 + 1.83337I
8.10754 − 6.60877I 0
u = 0.32393 − 1.40244I
a = −0.22335 + 1.77350I
b = 1.20252 − 1.83337I
8.10754 + 6.60877I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.43150 + 1.37321I
a = −0.093878 + 1.361520I
b = 0.653634 − 1.126280I
3.05750 + 8.78973I 0
u = −0.43150 − 1.37321I
a = −0.093878 − 1.361520I
b = 0.653634 + 1.126280I
3.05750 − 8.78973I 0
u = 0.42846 + 1.37573I
a = −0.16586 − 1.54738I
b = 0.90766 + 1.16085I
6.7808 − 13.8410I 0
u = 0.42846 − 1.37573I
a = −0.16586 + 1.54738I
b = 0.90766 − 1.16085I
6.7808 + 13.8410I 0
u = 1.40151 + 0.37860I
a = −0.070220 + 0.174631I
b = 0.391260 + 0.824443I
4.71559 − 5.01535I 0
u = 1.40151 − 0.37860I
a = −0.070220 − 0.174631I
b = 0.391260 − 0.824443I
4.71559 + 5.01535I 0
u = 0.516637 + 0.167007I
a = 0.775645 + 0.953872I
b = −0.916262 + 0.527538I
1.10619 + 3.02055I −3.27959 − 4.69923I
u = 0.516637 − 0.167007I
a = 0.775645 − 0.953872I
b = −0.916262 − 0.527538I
1.10619 − 3.02055I −3.27959 + 4.69923I
u = −0.29096 + 1.43137I
a = 0.274940 − 0.845665I
b = −0.586141 + 0.656774I
3.15672 + 2.78458I 0
u = −0.29096 − 1.43137I
a = 0.274940 + 0.845665I
b = −0.586141 − 0.656774I
3.15672 − 2.78458I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.47431 + 0.00589I
a = −0.100340 + 0.130441I
b = 0.009827 + 0.925723I
11.09060 + 2.10850I 0
u = −1.47431 − 0.00589I
a = −0.100340 − 0.130441I
b = 0.009827 − 0.925723I
11.09060 − 2.10850I 0
u = 0.478424 + 0.069032I
a = −0.458490 − 0.181777I
b = 0.890606 + 0.650663I
−1.08269 − 2.95250I −8.5175 + 11.6800I
u = 0.478424 − 0.069032I
a = −0.458490 + 0.181777I
b = 0.890606 − 0.650663I
−1.08269 + 2.95250I −8.5175 − 11.6800I
u = −0.47220 + 1.49638I
a = 0.11614 − 1.49296I
b = −1.17845 + 1.64971I
15.1197 + 18.1099I 0
u = −0.47220 − 1.49638I
a = 0.11614 + 1.49296I
b = −1.17845 − 1.64971I
15.1197 − 18.1099I 0
u = −0.57342 + 1.48282I
a = −0.203005 − 1.141520I
b = −0.74078 + 1.49911I
16.0643 + 4.7784I 0
u = −0.57342 − 1.48282I
a = −0.203005 + 1.141520I
b = −0.74078 − 1.49911I
16.0643 − 4.7784I 0
u = −0.49795 + 1.52049I
a = 0.137935 + 1.108780I
b = 0.91603 − 1.28356I
16.6394 + 8.8930I 0
u = −0.49795 − 1.52049I
a = 0.137935 − 1.108780I
b = 0.91603 + 1.28356I
16.6394 − 8.8930I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.126323 + 0.367664I
a = 0.90927 + 1.52246I
b = −0.088361 − 0.449464I
−0.291793 + 1.197300I −4.19396 − 4.75913I
u = 0.126323 − 0.367664I
a = 0.90927 − 1.52246I
b = −0.088361 + 0.449464I
−0.291793 − 1.197300I −4.19396 + 4.75913I
u = 0.50663 + 1.53019I
a = 0.086657 + 1.275800I
b = −1.05777 − 1.48843I
10.6758 − 11.4905I 0
u = 0.50663 − 1.53019I
a = 0.086657 − 1.275800I
b = −1.05777 + 1.48843I
10.6758 + 11.4905I 0
u = −0.338117 + 0.169164I
a = −2.65995 + 1.95479I
b = 0.37853 + 1.48945I
10.56830 + 6.89908I 2.07482 − 4.84990I
u = −0.338117 − 0.169164I
a = −2.65995 − 1.95479I
b = 0.37853 − 1.48945I
10.56830 − 6.89908I 2.07482 + 4.84990I
u = 0.125401 + 0.323149I
a = −1.94106 − 0.73841I
b = −1.247950 − 0.409351I
1.42533 − 2.41059I −8.64364 − 0.77659I
u = 0.125401 − 0.323149I
a = −1.94106 + 0.73841I
b = −1.247950 + 0.409351I
1.42533 + 2.41059I −8.64364 + 0.77659I
u = 0.218247 + 0.267162I
a = −3.60763 − 1.63006I
b = 0.191352 − 1.048220I
6.03443 − 2.03819I 3.04099 + 2.46993I
u = 0.218247 − 0.267162I
a = −3.60763 + 1.63006I
b = 0.191352 + 1.048220I
6.03443 + 2.03819I 3.04099 − 2.46993I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.73279 + 1.49312I
a = −0.286784 + 0.168953I
b = 0.133527 − 0.451448I
5.35299 + 2.58220I 0
u = 0.73279 − 1.49312I
a = −0.286784 − 0.168953I
b = 0.133527 + 0.451448I
5.35299 − 2.58220I 0
u = −0.025213 + 0.213889I
a = −7.12655 + 1.57692I
b = −0.588856 + 0.423121I
8.72642 − 1.13781I −0.48113 − 4.24733I
u = −0.025213 − 0.213889I
a = −7.12655 − 1.57692I
b = −0.588856 − 0.423121I
8.72642 + 1.13781I −0.48113 + 4.24733I
u = 0.41049 + 1.75871I
a = −0.274714 − 0.646199I
b = 1.115180 + 0.794800I
9.83207 − 4.22271I 0
u = 0.41049 − 1.75871I
a = −0.274714 + 0.646199I
b = 1.115180 − 0.794800I
9.83207 + 4.22271I 0
u = −0.1242540 + 0.0469636I
a = −2.74084 − 6.09237I
b = −0.229989 + 0.951261I
3.70310 − 3.99690I −0.22190 + 6.17197I
u = −0.1242540 − 0.0469636I
a = −2.74084 + 6.09237I
b = −0.229989 − 0.951261I
3.70310 + 3.99690I −0.22190 − 6.17197I
u = −1.13812 + 1.80450I
a = 0.167766 + 0.173041I
b = 0.421318 − 0.592970I
12.13600 − 3.97678I 0
u = −1.13812 − 1.80450I
a = 0.167766 − 0.173041I
b = 0.421318 + 0.592970I
12.13600 + 3.97678I 0
16
II.
I
u
2
= h−1.17 × 10
7
u
29
+ 3.93 × 10
8
u
28
+ · · · + 6.63 × 10
8
b − 3.36 × 10
8
, 3.14 ×
10
8
u
29
−6.59×10
8
u
28
+· · · +6.63×10
8
a+3.20×10
9
, u
30
−u
29
+· · · +16u +4i
(i) Arc colorings
a
5
=
0
u
a
8
=
1
0
a
1
=
−0.473238u
29
+ 0.994157u
28
+ ··· − 2.94573u − 4.82374
0.0176853u
29
− 0.592168u
28
+ ··· − 3.62979u + 0.506684
a
9
=
1
u
2
a
10
=
0.157546u
29
+ 0.487994u
28
+ ··· + 1.22045u − 2.13675
0.227072u
29
− 0.155918u
28
+ ··· + 4.59736u + 4.03971
a
4
=
u
u
3
+ u
a
2
=
−1.08032u
29
+ 0.818132u
28
+ ··· − 12.2721u − 7.47627
0.118860u
29
− 0.296960u
28
+ ··· + 2.00187u + 0.986584
a
3
=
0.202173u
29
− 1.56841u
28
+ ··· − 16.2495u − 10.3916
0.198468u
29
+ 0.484267u
28
+ ··· + 6.83106u + 0.910728
a
7
=
1.58147u
29
− 2.64102u
28
+ ··· − 14.7231u − 8.25962
0.0196042u
29
+ 0.214598u
28
+ ··· + 0.0143922u − 1.07761
a
12
=
−0.455552u
29
+ 0.401990u
28
+ ··· − 6.57552u − 4.31706
0.0176853u
29
− 0.592168u
28
+ ··· − 3.62979u + 0.506684
a
6
=
−0.747203u
29
+ 1.80618u
28
+ ··· + 0.425264u − 0.874633
−0.392169u
29
+ 0.981993u
28
+ ··· + 0.164657u − 0.338132
a
11
=
0.893972u
29
+ 0.708930u
28
+ ··· + 18.7829u + 1.75579
−0.111430u
29
+ 0.238324u
28
+ ··· + 2.38677u + 2.12079
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
36508705
55271338
u
29
+
321955081
165814014
u
28
+ ··· +
874705533
27635669
u +
763192718
82907007
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
30
− 3u
29
+ ··· + 2u + 1
c
2
u
30
− u
29
+ ··· − 9u
2
+ 1
c
3
u
30
+ 9u
28
+ ··· + 3u + 1
c
4
u
30
+ u
29
+ ··· − 16u + 4
c
5
, c
6
u
30
+ 20u
28
+ ··· + 2u + 1
c
7
u
30
+ u
29
+ ··· − 9u
2
+ 1
c
8
u
30
− u
29
+ ··· + 16u + 4
c
9
u
30
+ 9u
29
+ ··· + u + 1
c
10
u
30
− u
29
+ ··· − 15u + 11
c
11
u
30
+ 20u
28
+ ··· − 2u + 1
c
12
u
30
+ 11u
28
+ ··· − 25u + 7
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
30
+ 7y
29
+ ··· + 26y + 1
c
2
, c
7
y
30
− 17y
29
+ ··· − 18y + 1
c
3
y
30
+ 18y
29
+ ··· + 17y + 1
c
4
, c
8
y
30
+ 29y
29
+ ··· − 64y + 16
c
5
, c
6
, c
11
y
30
+ 40y
29
+ ··· + 32y + 1
c
9
y
30
− 9y
29
+ ··· − 7y + 1
c
10
y
30
− 5y
29
+ ··· + 611y + 121
c
12
y
30
+ 22y
29
+ ··· + 327y + 49
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.630105 + 0.695307I
a = 1.72375 − 0.16810I
b = −0.512369 + 1.251810I
5.42671 − 2.93362I −2.00935 + 13.29888I
u = 0.630105 − 0.695307I
a = 1.72375 + 0.16810I
b = −0.512369 − 1.251810I
5.42671 + 2.93362I −2.00935 − 13.29888I
u = 0.821805 + 0.355907I
a = 0.027900 − 0.428537I
b = −0.657579 − 0.870652I
2.23734 − 3.16109I −4.74732 + 7.58420I
u = 0.821805 − 0.355907I
a = 0.027900 + 0.428537I
b = −0.657579 + 0.870652I
2.23734 + 3.16109I −4.74732 − 7.58420I
u = −0.545164 + 0.635275I
a = −1.000420 − 0.154434I
b = 0.724880 + 0.366219I
−0.96753 + 2.81759I −6.3369 − 15.8311I
u = −0.545164 − 0.635275I
a = −1.000420 + 0.154434I
b = 0.724880 − 0.366219I
−0.96753 − 2.81759I −6.3369 + 15.8311I
u = 0.221984 + 1.149150I
a = −0.45784 + 1.94596I
b = 0.067218 − 1.384630I
5.67162 − 5.33366I 2.15100 + 6.38698I
u = 0.221984 − 1.149150I
a = −0.45784 − 1.94596I
b = 0.067218 + 1.384630I
5.67162 + 5.33366I 2.15100 − 6.38698I
u = −0.306364 + 1.160130I
a = 0.74273 + 2.22026I
b = 0.55583 − 2.41798I
12.3642 + 8.2516I 7.17518 − 6.23391I
u = −0.306364 − 1.160130I
a = 0.74273 − 2.22026I
b = 0.55583 + 2.41798I
12.3642 − 8.2516I 7.17518 + 6.23391I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.399534 + 0.672675I
a = −1.95059 + 0.23287I
b = −0.057000 + 0.507233I
9.09328 + 1.78839I 6.45395 − 4.38699I
u = −0.399534 − 0.672675I
a = −1.95059 − 0.23287I
b = −0.057000 − 0.507233I
9.09328 − 1.78839I 6.45395 + 4.38699I
u = −0.045475 + 1.219330I
a = −0.597664 + 0.119390I
b = −0.984120 + 0.075531I
11.48680 − 0.60088I 3.16360 − 2.70325I
u = −0.045475 − 1.219330I
a = −0.597664 − 0.119390I
b = −0.984120 − 0.075531I
11.48680 + 0.60088I 3.16360 + 2.70325I
u = 0.229442 + 0.700891I
a = −0.316343 − 0.225492I
b = −1.181730 − 0.308696I
1.87919 − 2.70663I 4.71648 + 6.20429I
u = 0.229442 − 0.700891I
a = −0.316343 + 0.225492I
b = −1.181730 + 0.308696I
1.87919 + 2.70663I 4.71648 − 6.20429I
u = 0.022342 + 1.292270I
a = −1.105510 + 0.692523I
b = 0.437458 − 0.658638I
4.42266 + 1.85983I −1.08887 − 2.54905I
u = 0.022342 − 1.292270I
a = −1.105510 − 0.692523I
b = 0.437458 + 0.658638I
4.42266 − 1.85983I −1.08887 + 2.54905I
u = −0.208489 + 1.285470I
a = 0.37487 − 1.76768I
b = −0.345643 + 1.336660I
3.13650 + 4.78480I 1.83177 − 2.84897I
u = −0.208489 − 1.285470I
a = 0.37487 + 1.76768I
b = −0.345643 − 1.336660I
3.13650 − 4.78480I 1.83177 + 2.84897I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.474456 + 1.238330I
a = 0.059672 − 0.167268I
b = −0.235536 − 0.241632I
5.02021 + 2.37817I −1.35142 − 0.82998I
u = 0.474456 − 1.238330I
a = 0.059672 + 0.167268I
b = −0.235536 + 0.241632I
5.02021 − 2.37817I −1.35142 + 0.82998I
u = 0.30957 + 1.39622I
a = −0.24776 − 1.94920I
b = 1.22428 + 2.04770I
7.62832 − 7.11172I −2.63306 + 8.31321I
u = 0.30957 − 1.39622I
a = −0.24776 + 1.94920I
b = 1.22428 − 2.04770I
7.62832 + 7.11172I −2.63306 − 8.31321I
u = 0.40175 + 1.44421I
a = −0.093287 + 0.883427I
b = −0.688135 − 0.970806I
5.52940 − 3.07063I 6.43109 + 2.26685I
u = 0.40175 − 1.44421I
a = −0.093287 − 0.883427I
b = −0.688135 + 0.970806I
5.52940 + 3.07063I 6.43109 − 2.26685I
u = −0.344141 + 0.026121I
a = −0.18144 − 1.61778I
b = 0.898704 + 0.383798I
−0.85365 − 2.38254I −4.03985 + 0.93908I
u = −0.344141 − 0.026121I
a = −0.18144 + 1.61778I
b = 0.898704 − 0.383798I
−0.85365 + 2.38254I −4.03985 − 0.93908I
u = −0.76228 + 1.56542I
a = 0.021946 + 0.255520I
b = 0.753743 − 0.688207I
11.81660 − 3.91494I 0
u = −0.76228 − 1.56542I
a = 0.021946 − 0.255520I
b = 0.753743 + 0.688207I
11.81660 + 3.91494I 0
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
30
− 3u
29
+ ··· + 2u + 1)(u
120
− 12u
119
+ ··· − 105451u + 8381)
c
2
(u
30
− u
29
+ ··· − 9u
2
+ 1)(u
120
+ 2u
119
+ ··· − 10425u + 6379)
c
3
(u
30
+ 9u
28
+ ··· + 3u + 1)(u
120
+ u
119
+ ··· + 172u + 11)
c
4
(u
30
+ u
29
+ ··· − 16u + 4)(u
120
+ 4u
119
+ ··· + 176u + 16)
c
5
, c
6
(u
30
+ 20u
28
+ ··· + 2u + 1)(u
120
− u
119
+ ··· − 4711u + 667)
c
7
(u
30
+ u
29
+ ··· − 9u
2
+ 1)(u
120
+ 2u
119
+ ··· − 10425u + 6379)
c
8
(u
30
− u
29
+ ··· + 16u + 4)(u
120
+ 4u
119
+ ··· + 176u + 16)
c
9
(u
30
+ 9u
29
+ ··· + u + 1)(u
120
− 4u
119
+ ··· + 42u + 11)
c
10
(u
30
− u
29
+ ··· − 15u + 11)
· (u
120
− 30u
118
+ ··· − 6834664u + 20792117)
c
11
(u
30
+ 20u
28
+ ··· − 2u + 1)(u
120
− u
119
+ ··· − 4711u + 667)
c
12
(u
30
+ 11u
28
+ ··· − 25u + 7)
· (u
120
+ u
119
+ ··· + 84308126u + 35235131)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
30
+ 7y
29
+ ··· + 26y + 1)
· (y
120
+ 36y
119
+ ··· + 4420639659y + 70241161)
c
2
, c
7
(y
30
− 17y
29
+ ··· − 18y + 1)
· (y
120
− 84y
119
+ ··· − 765539013y + 40691641)
c
3
(y
30
+ 18y
29
+ ··· + 17y + 1)(y
120
+ 15y
119
+ ··· + 5726y + 121)
c
4
, c
8
(y
30
+ 29y
29
+ ··· − 64y + 16)(y
120
+ 102y
119
+ ··· − 6912y + 256)
c
5
, c
6
, c
11
(y
30
+ 40y
29
+ ··· + 32y + 1)
· (y
120
+ 141y
119
+ ··· + 27200497y + 444889)
c
9
(y
30
− 9y
29
+ ··· − 7y + 1)(y
120
+ 110y
118
+ ··· + 5298y + 121)
c
10
(y
30
− 5y
29
+ ··· + 611y + 121)
· (y
120
− 60y
119
+ ··· − 3535423773129192y + 432312129341689)
c
12
(y
30
+ 22y
29
+ ··· + 327y + 49)
· (y
120
+ 67y
119
+ ··· + 44858396743231608y + 1241514456587161)
24
