12a
0627
(K12a
0627
)
A knot diagram
1
Linearized knot diagam
3 7 10 8 12 9 2 5 1 4 6 11
Solving Sequence
3,10
4
7,11
2 8 5 1 9 6 12
c
3
c
10
c
2
c
7
c
4
c
1
c
9
c
6
c
12
c
5
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h6.74702 × 10
811
u
141
+ 1.09442 × 10
812
u
140
+ ··· + 3.41875 × 10
813
b − 2.08476 × 10
815
,
1.09226 × 10
816
u
141
+ 1.97778 × 10
816
u
140
+ ··· + 7.17596 × 10
816
a − 4.28834 × 10
819
,
u
142
+ u
141
+ ··· − 907109u + 2099i
I
u
2
= h1264191898u
27
+ 4324326347u
26
+ ··· + 52008813b + 2153585138,
2700862307u
27
+ 9574821553u
26
+ ··· + 52008813a + 5465518489, u
28
+ 4u
27
+ ··· + 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 170 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
= h6.75 × 10
811
u
141
+ 1.09 × 10
812
u
140
+ · · · + 3.42 × 10
813
b − 2.08 ×
10
815
, 1.09 × 10
816
u
141
+ 1.98 × 10
816
u
140
+ · · · + 7.18 × 10
816
a − 4.29 ×
10
819
, u
142
+ u
141
+ · · · − 907109u + 2099i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
−u
2
a
7
=
−0.152212u
141
− 0.275612u
140
+ ··· − 167326.u + 597.599
−0.0197353u
141
− 0.0320124u
140
+ ··· − 26578.0u + 60.9802
a
11
=
u
−u
3
+ u
a
2
=
0.125998u
141
+ 0.225405u
140
+ ··· + 139852.u − 473.200
0.0772454u
141
+ 0.149742u
140
+ ··· + 75128.4u − 173.760
a
8
=
−0.119370u
141
− 0.218578u
140
+ ··· − 127989.u + 612.605
−0.0471017u
141
− 0.0899098u
140
+ ··· − 46092.1u + 105.834
a
5
=
−0.297171u
141
− 0.547343u
140
+ ··· − 316063.u + 393.790
−0.0689418u
141
− 0.131837u
140
+ ··· − 69332.9u + 162.006
a
1
=
0.203243u
141
+ 0.375147u
140
+ ··· + 214980.u − 646.960
0.0772454u
141
+ 0.149742u
140
+ ··· + 75128.4u − 173.760
a
9
=
0.355590u
141
+ 0.673424u
140
+ ··· + 358791.u − 883.101
0.175090u
141
+ 0.317526u
140
+ ··· + 193670.u − 449.231
a
6
=
0.166507u
141
+ 0.296018u
140
+ ··· + 191000.u − 190.579
0.110343u
141
+ 0.205179u
140
+ ··· + 116314.u − 270.736
a
12
=
0.179184u
141
+ 0.325133u
140
+ ··· + 194744.u − 600.039
0.0802693u
141
+ 0.155031u
140
+ ··· + 78385.4u − 181.319
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0416421u
141
− 0.0832729u
140
+ ··· − 41293.2u + 89.3667
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
9(9u
142
+ 519u
141
+ ··· + 57707u + 5329)
c
2
, c
7
3(3u
142
+ 3u
141
+ ··· + 359u − 73)
c
3
, c
10
u
142
+ u
141
+ ··· − 907109u + 2099
c
4
, c
8
u
142
− u
141
+ ··· + 907109u + 2099
c
5
, c
11
3(3u
142
− 3u
141
+ ··· − 359u − 73)
c
6
u
142
− 4u
141
+ ··· + 76091739u − 4428063
c
9
u
142
+ 4u
141
+ ··· − 76091739u − 4428063
c
12
9(9u
142
− 519u
141
+ ··· − 57707u + 5329)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
12
81(81y
142
+ 6327y
141
+ ··· − 2.56016 × 10
9
y + 2.83982 × 10
7
)
c
2
, c
5
, c
7
c
11
9(9y
142
+ 519y
141
+ ··· + 57707y + 5329)
c
3
, c
4
, c
8
c
10
y
142
− 93y
141
+ ··· − 823753833325y + 4405801
c
6
, c
9
y
142
− 26y
141
+ ··· − 783996286987719y + 19607741931969
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.999777 + 0.091981I
a = 1.75501 + 0.96204I
b = −1.11776 − 1.04446I
0.115587 + 0.315701I 0
u = 0.999777 − 0.091981I
a = 1.75501 − 0.96204I
b = −1.11776 + 1.04446I
0.115587 − 0.315701I 0
u = 0.972850 + 0.179673I
a = 0.737834 + 0.307202I
b = −0.132900 + 1.074160I
1.78140 + 1.19765I 0
u = 0.972850 − 0.179673I
a = 0.737834 − 0.307202I
b = −0.132900 − 1.074160I
1.78140 − 1.19765I 0
u = 0.097398 + 0.982037I
a = 0.851382 − 0.422463I
b = −0.698611 − 0.418753I
−3.66799 − 2.04886I 0
u = 0.097398 − 0.982037I
a = 0.851382 + 0.422463I
b = −0.698611 + 0.418753I
−3.66799 + 2.04886I 0
u = 0.891887 + 0.409098I
a = −0.266032 − 0.098205I
b = 0.688939 + 0.119170I
−0.62703 − 2.36846I 0
u = 0.891887 − 0.409098I
a = −0.266032 + 0.098205I
b = 0.688939 − 0.119170I
−0.62703 + 2.36846I 0
u = −0.582706 + 0.835940I
a = 1.115760 + 0.211551I
b = −0.134406 + 1.156220I
−8.51460 − 0.20375I 0
u = −0.582706 − 0.835940I
a = 1.115760 − 0.211551I
b = −0.134406 − 1.156220I
−8.51460 + 0.20375I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.735906 + 0.603682I
a = −0.535807 − 1.237880I
b = 0.377524 − 1.068500I
−4.03516 − 0.96934I 0
u = −0.735906 − 0.603682I
a = −0.535807 + 1.237880I
b = 0.377524 + 1.068500I
−4.03516 + 0.96934I 0
u = 0.941778 + 0.066068I
a = −1.86453 + 0.81269I
b = 1.10557 − 1.08573I
−0.115587 + 0.315701I 0
u = 0.941778 − 0.066068I
a = −1.86453 − 0.81269I
b = 1.10557 + 1.08573I
−0.115587 − 0.315701I 0
u = −1.023860 + 0.260578I
a = 2.78417 − 1.34157I
b = −0.534031 + 0.941701I
−2.54184 − 8.91574I 0
u = −1.023860 − 0.260578I
a = 2.78417 + 1.34157I
b = −0.534031 − 0.941701I
−2.54184 + 8.91574I 0
u = 1.048170 + 0.152717I
a = −2.23658 − 1.78317I
b = 0.526778 + 0.924900I
−3.02313 + 3.31558I 0
u = 1.048170 − 0.152717I
a = −2.23658 + 1.78317I
b = 0.526778 − 0.924900I
−3.02313 − 3.31558I 0
u = 0.907559 + 0.556741I
a = 1.026920 + 0.235437I
b = 0.395468 − 0.905996I
−3.81941 − 1.48950I 0
u = 0.907559 − 0.556741I
a = 1.026920 − 0.235437I
b = 0.395468 + 0.905996I
−3.81941 + 1.48950I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.969830 + 0.440655I
a = −0.527831 − 0.710169I
b = −0.141735 − 0.979176I
−1.16877 − 1.23928I 0
u = −0.969830 − 0.440655I
a = −0.527831 + 0.710169I
b = −0.141735 + 0.979176I
−1.16877 + 1.23928I 0
u = 0.533762 + 0.926281I
a = −1.215540 + 0.292203I
b = 0.117807 + 1.109140I
−7.00419 − 5.60834I 0
u = 0.533762 − 0.926281I
a = −1.215540 − 0.292203I
b = 0.117807 − 1.109140I
−7.00419 + 5.60834I 0
u = −1.047440 + 0.220766I
a = 0.260757 − 0.045770I
b = −0.726111 + 0.058471I
−0.78723 − 1.84537I 0
u = −1.047440 − 0.220766I
a = 0.260757 + 0.045770I
b = −0.726111 − 0.058471I
−0.78723 + 1.84537I 0
u = 0.822605 + 0.424676I
a = 0.506086 − 1.249620I
b = −0.395425 − 1.116900I
−4.23196 + 5.58061I 0
u = 0.822605 − 0.424676I
a = 0.506086 + 1.249620I
b = −0.395425 + 1.116900I
−4.23196 − 5.58061I 0
u = 1.07901
a = −0.941451
b = 0.586362
1.80252 0
u = −0.891486 + 0.610218I
a = −1.014450 − 0.251121I
b = −0.358713 − 0.930244I
−3.57928 − 3.82983I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.891486 − 0.610218I
a = −1.014450 + 0.251121I
b = −0.358713 + 0.930244I
−3.57928 + 3.82983I 0
u = −0.954768 + 0.543815I
a = 0.518706 − 0.032264I
b = −0.091462 + 1.324820I
−7.29435 − 4.89384I 0
u = −0.954768 − 0.543815I
a = 0.518706 + 0.032264I
b = −0.091462 − 1.324820I
−7.29435 + 4.89384I 0
u = −1.089670 + 0.209938I
a = −1.36098 + 0.43540I
b = 1.083980 − 0.532524I
1.86233 − 7.66979I 0
u = −1.089670 − 0.209938I
a = −1.36098 − 0.43540I
b = 1.083980 + 0.532524I
1.86233 + 7.66979I 0
u = 0.504350 + 0.727388I
a = −0.828417 − 1.023530I
b = −0.226989 − 0.419380I
−2.24649 + 6.43121I 0
u = 0.504350 − 0.727388I
a = −0.828417 + 1.023530I
b = −0.226989 + 0.419380I
−2.24649 − 6.43121I 0
u = 0.216819 + 0.829790I
a = 0.284915 − 0.194348I
b = −0.614612 + 0.638726I
0.90427 + 2.58836I 0
u = 0.216819 − 0.829790I
a = 0.284915 + 0.194348I
b = −0.614612 − 0.638726I
0.90427 − 2.58836I 0
u = 0.846878 + 0.049904I
a = 0.69761 + 1.28112I
b = −0.438756 + 1.143830I
−3.95688 − 2.31810I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.846878 − 0.049904I
a = 0.69761 − 1.28112I
b = −0.438756 − 1.143830I
−3.95688 + 2.31810I 0
u = −0.846164 + 0.050634I
a = −3.58337 + 0.37080I
b = 0.495605 − 0.781614I
−2.52732 − 0.86075I 0
u = −0.846164 − 0.050634I
a = −3.58337 − 0.37080I
b = 0.495605 + 0.781614I
−2.52732 + 0.86075I 0
u = 1.126400 + 0.264868I
a = 0.491028 − 0.645301I
b = 0.081994 − 1.072770I
0.22187 + 5.50655I 0
u = 1.126400 − 0.264868I
a = 0.491028 + 0.645301I
b = 0.081994 + 1.072770I
0.22187 − 5.50655I 0
u = −0.046758 + 0.837944I
a = 0.95887 + 1.13130I
b = −0.617919 + 0.954869I
− 7.46414I 0
u = −0.046758 − 0.837944I
a = 0.95887 − 1.13130I
b = −0.617919 − 0.954869I
7.46414I 0
u = 0.831672 + 0.063981I
a = 3.53082 − 1.42335I
b = −0.496555 + 0.758778I
−1.91137 + 4.69879I 0
u = 0.831672 − 0.063981I
a = 3.53082 + 1.42335I
b = −0.496555 − 0.758778I
−1.91137 − 4.69879I 0
u = 0.608207 + 0.552772I
a = −0.581035 − 0.562360I
b = 0.277435 − 0.078683I
1.21657 + 1.49421I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.608207 − 0.552772I
a = −0.581035 + 0.562360I
b = 0.277435 + 0.078683I
1.21657 − 1.49421I 0
u = −0.501974 + 0.645385I
a = 0.61974 − 1.42878I
b = 0.203287 − 0.572937I
−3.03156 − 1.29600I 0
u = −0.501974 − 0.645385I
a = 0.61974 + 1.42878I
b = 0.203287 + 0.572937I
−3.03156 + 1.29600I 0
u = −0.710613 + 0.386852I
a = −0.527263 − 0.920020I
b = −0.036444 − 0.874568I
−1.21657 − 1.49421I 0
u = −0.710613 − 0.386852I
a = −0.527263 + 0.920020I
b = −0.036444 + 0.874568I
−1.21657 + 1.49421I 0
u = −1.158390 + 0.322284I
a = −1.81306 + 0.42467I
b = 0.762237 − 1.171010I
−1.86233 − 7.66979I 0
u = −1.158390 − 0.322284I
a = −1.81306 − 0.42467I
b = 0.762237 + 1.171010I
−1.86233 + 7.66979I 0
u = −0.138862 + 0.779993I
a = −0.745625 + 0.918804I
b = 0.560504 + 0.944303I
−0.90427 + 2.58836I 0
u = −0.138862 − 0.779993I
a = −0.745625 − 0.918804I
b = 0.560504 − 0.944303I
−0.90427 − 2.58836I 0
u = −0.015459 + 1.212910I
a = −0.776979 − 0.330404I
b = 0.682661 − 0.496834I
−2.22686 + 7.36336I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.015459 − 1.212910I
a = −0.776979 + 0.330404I
b = 0.682661 + 0.496834I
−2.22686 − 7.36336I 0
u = 1.083270 + 0.554918I
a = −0.365749 + 0.080585I
b = 0.052685 + 1.321760I
−5.17123 + 10.97090I 0
u = 1.083270 − 0.554918I
a = −0.365749 − 0.080585I
b = 0.052685 − 1.321760I
−5.17123 − 10.97090I 0
u = 1.164790 + 0.372631I
a = 1.12015 − 0.93796I
b = −0.670839 + 0.713909I
3.03156 + 1.29600I 0
u = 1.164790 − 0.372631I
a = 1.12015 + 0.93796I
b = −0.670839 − 0.713909I
3.03156 − 1.29600I 0
u = −0.726500 + 0.274603I
a = −0.87516 + 1.25874I
b = 0.454025 + 1.133080I
−3.54930 + 6.58128I 0
u = −0.726500 − 0.274603I
a = −0.87516 − 1.25874I
b = 0.454025 − 1.133080I
−3.54930 − 6.58128I 0
u = 0.719072 + 0.991745I
a = −0.365549 − 0.296675I
b = 0.425467 − 0.618928I
1.16877 + 1.23928I 0
u = 0.719072 − 0.991745I
a = −0.365549 + 0.296675I
b = 0.425467 + 0.618928I
1.16877 − 1.23928I 0
u = −0.220808 + 1.215370I
a = 0.601998 − 0.227940I
b = −0.600537 − 1.071030I
−5.50784 + 7.05411I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.220808 − 1.215370I
a = 0.601998 + 0.227940I
b = −0.600537 + 1.071030I
−5.50784 − 7.05411I 0
u = −0.313014 + 1.198780I
a = −0.669670 − 0.455888I
b = 0.550377 − 1.024580I
−0.22187 − 5.50655I 0
u = −0.313014 − 1.198780I
a = −0.669670 + 0.455888I
b = 0.550377 + 1.024580I
−0.22187 + 5.50655I 0
u = 1.209920 + 0.325524I
a = −1.80952 + 0.25124I
b = 0.696228 + 1.074220I
7.00419 + 5.60834I 0
u = 1.209920 − 0.325524I
a = −1.80952 − 0.25124I
b = 0.696228 − 1.074220I
7.00419 − 5.60834I 0
u = −0.735847 + 0.068590I
a = 2.66777 − 0.45922I
b = −0.829755 + 0.922463I
− 6.49239I 0. + 3.94512I
u = −0.735847 − 0.068590I
a = 2.66777 + 0.45922I
b = −0.829755 − 0.922463I
6.49239I 0. − 3.94512I
u = −0.109133 + 0.723579I
a = −0.10984 − 1.73124I
b = 0.030418 − 0.960750I
−3.74292 − 2.45679I −8.05030 + 3.72068I
u = −0.109133 − 0.723579I
a = −0.10984 + 1.73124I
b = 0.030418 + 0.960750I
−3.74292 + 2.45679I −8.05030 − 3.72068I
u = 1.217300 + 0.377253I
a = 0.771846 − 0.977373I
b = −0.756340 + 0.570231I
3.66799 + 2.04886I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.217300 − 0.377253I
a = 0.771846 + 0.977373I
b = −0.756340 − 0.570231I
3.66799 − 2.04886I 0
u = −1.277520 + 0.179976I
a = −0.912720 − 0.799288I
b = 0.871633 + 0.580346I
8.51460 + 0.20375I 0
u = −1.277520 − 0.179976I
a = −0.912720 + 0.799288I
b = 0.871633 − 0.580346I
8.51460 − 0.20375I 0
u = −1.170220 + 0.561483I
a = 1.92461 + 0.10124I
b = −0.647487 + 0.968416I
2.24649 − 6.43121I 0
u = −1.170220 − 0.561483I
a = 1.92461 − 0.10124I
b = −0.647487 − 0.968416I
2.24649 + 6.43121I 0
u = −1.200200 + 0.502408I
a = 1.98999 + 0.39932I
b = −0.639193 + 1.047390I
2.22686 − 7.36336I 0
u = −1.200200 − 0.502408I
a = 1.98999 − 0.39932I
b = −0.639193 − 1.047390I
2.22686 + 7.36336I 0
u = −1.234980 + 0.475489I
a = −1.62970 − 0.39628I
b = 0.529717 − 0.884155I
0.62703 − 2.36846I 0
u = −1.234980 − 0.475489I
a = −1.62970 + 0.39628I
b = 0.529717 + 0.884155I
0.62703 + 2.36846I 0
u = −0.230216 + 0.619155I
a = −0.540103 + 0.193524I
b = 0.447793 + 0.790881I
−0.16397 + 1.58168I −1.73401 − 4.14181I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.230216 − 0.619155I
a = −0.540103 − 0.193524I
b = 0.447793 − 0.790881I
−0.16397 − 1.58168I −1.73401 + 4.14181I
u = −1.332680 + 0.212770I
a = 1.052940 − 0.233537I
b = −0.658186 + 0.298490I
4.88571 − 4.50346I 0
u = −1.332680 − 0.212770I
a = 1.052940 + 0.233537I
b = −0.658186 − 0.298490I
4.88571 + 4.50346I 0
u = 1.272960 + 0.507679I
a = −1.88998 + 0.49520I
b = 0.636469 + 1.075730I
3.81719 + 12.41500I 0
u = 1.272960 − 0.507679I
a = −1.88998 − 0.49520I
b = 0.636469 − 1.075730I
3.81719 − 12.41500I 0
u = 0.154609 + 0.600255I
a = −0.354183 − 0.214624I
b = 0.453342 + 0.424801I
0.16397 + 1.58168I 1.73401 − 4.14181I
u = 0.154609 − 0.600255I
a = −0.354183 + 0.214624I
b = 0.453342 − 0.424801I
0.16397 − 1.58168I 1.73401 + 4.14181I
u = 1.279850 + 0.521490I
a = −1.038380 + 0.736152I
b = 0.969511 − 0.516344I
7.40396I 0
u = 1.279850 − 0.521490I
a = −1.038380 − 0.736152I
b = 0.969511 + 0.516344I
− 7.40396I 0
u = −1.319520 + 0.412064I
a = −0.675707 − 0.878498I
b = 0.780759 + 0.509877I
5.50784 − 7.05411I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.319520 − 0.412064I
a = −0.675707 + 0.878498I
b = 0.780759 − 0.509877I
5.50784 + 7.05411I 0
u = −1.359890 + 0.291459I
a = 1.172100 + 0.533418I
b = −0.977771 − 0.454867I
7.29435 − 4.89384I 0
u = −1.359890 − 0.291459I
a = 1.172100 − 0.533418I
b = −0.977771 + 0.454867I
7.29435 + 4.89384I 0
u = 0.095613 + 0.591916I
a = −1.60351 + 0.20474I
b = 0.330333 + 1.109930I
−1.78140 + 1.19765I −3.64845 + 0.38423I
u = 0.095613 − 0.591916I
a = −1.60351 − 0.20474I
b = 0.330333 − 1.109930I
−1.78140 − 1.19765I −3.64845 − 0.38423I
u = 0.21444 + 1.41466I
a = −0.665299 − 0.239921I
b = 0.615145 − 1.050670I
−3.81719 − 12.41500I 0
u = 0.21444 − 1.41466I
a = −0.665299 + 0.239921I
b = 0.615145 + 1.050670I
−3.81719 + 12.41500I 0
u = 1.16399 + 0.83864I
a = 0.726094 − 0.512444I
b = −0.756038 + 0.749384I
2.52732 − 0.86075I 0
u = 1.16399 − 0.83864I
a = 0.726094 + 0.512444I
b = −0.756038 − 0.749384I
2.52732 + 0.86075I 0
u = −1.35315 + 0.57650I
a = 0.967629 + 0.689260I
b = −0.958534 − 0.512595I
1.92426 − 13.50540I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.35315 − 0.57650I
a = 0.967629 − 0.689260I
b = −0.958534 + 0.512595I
1.92426 + 13.50540I 0
u = −1.33091 + 0.62879I
a = −1.74900 − 0.09317I
b = 0.705765 − 1.136610I
−1.92426 − 13.50540I 0
u = −1.33091 − 0.62879I
a = −1.74900 + 0.09317I
b = 0.705765 + 1.136610I
−1.92426 + 13.50540I 0
u = 0.185214 + 0.493202I
a = −0.754627 + 0.798109I
b = −0.626584 + 0.836270I
3.74292 − 2.45679I 8.05030 + 3.72068I
u = 0.185214 − 0.493202I
a = −0.754627 − 0.798109I
b = −0.626584 − 0.836270I
3.74292 + 2.45679I 8.05030 − 3.72068I
u = 1.40753 + 0.44874I
a = 1.60725 + 0.07415I
b = −0.697788 − 1.152910I
5.17123 + 10.97090I 0
u = 1.40753 − 0.44874I
a = 1.60725 − 0.07415I
b = −0.697788 + 1.152910I
5.17123 − 10.97090I 0
u = −1.09237 + 0.99596I
a = 1.48373 + 0.35392I
b = −0.708541 + 0.952527I
1.91137 − 4.69879I 0
u = −1.09237 − 0.99596I
a = 1.48373 − 0.35392I
b = −0.708541 − 0.952527I
1.91137 + 4.69879I 0
u = 1.46570 + 0.26957I
a = −0.727839 + 0.808574I
b = 0.514067 − 0.841069I
0.78723 − 1.84537I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.46570 − 0.26957I
a = −0.727839 − 0.808574I
b = 0.514067 + 0.841069I
0.78723 + 1.84537I 0
u = −0.140761 + 0.460221I
a = −0.172554 + 0.051885I
b = −0.516673 − 1.151240I
−4.88571 + 4.50346I −8.93092 − 2.94655I
u = −0.140761 − 0.460221I
a = −0.172554 − 0.051885I
b = −0.516673 + 1.151240I
−4.88571 − 4.50346I −8.93092 + 2.94655I
u = 1.53803 + 0.13396I
a = 1.47179 + 0.07073I
b = −0.599428 − 0.875907I
4.03516 − 0.96934I 0
u = 1.53803 − 0.13396I
a = 1.47179 − 0.07073I
b = −0.599428 + 0.875907I
4.03516 + 0.96934I 0
u = 1.38676 + 0.68120I
a = 1.69309 − 0.15578I
b = −0.702448 − 1.135260I
19.5681I 0
u = 1.38676 − 0.68120I
a = 1.69309 + 0.15578I
b = −0.702448 + 1.135260I
− 19.5681I 0
u = −1.52968 + 0.47189I
a = −1.086600 − 0.411575I
b = 0.710430 + 0.814328I
3.81941 + 1.48950I 0
u = −1.52968 − 0.47189I
a = −1.086600 + 0.411575I
b = 0.710430 − 0.814328I
3.81941 − 1.48950I 0
u = −1.38352 + 0.83192I
a = −0.829288 − 0.427999I
b = 0.761638 + 0.775917I
3.02313 − 3.31558I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.38352 − 0.83192I
a = −0.829288 + 0.427999I
b = 0.761638 − 0.775917I
3.02313 + 3.31558I 0
u = 1.48784 + 0.69259I
a = −1.45992 − 0.06839I
b = 0.675760 + 0.890812I
3.57928 + 3.82983I 0
u = 1.48784 − 0.69259I
a = −1.45992 + 0.06839I
b = 0.675760 − 0.890812I
3.57928 − 3.82983I 0
u = 1.30153 + 1.02075I
a = −1.40447 + 0.22576I
b = 0.717282 + 0.933268I
2.54184 + 8.91574I 0
u = 1.30153 − 1.02075I
a = −1.40447 − 0.22576I
b = 0.717282 − 0.933268I
2.54184 − 8.91574I 0
u = 1.49706 + 0.74849I
a = 1.311030 − 0.316179I
b = −0.543821 − 0.919220I
3.54930 + 6.58128I 0
u = 1.49706 − 0.74849I
a = 1.311030 + 0.316179I
b = −0.543821 + 0.919220I
3.54930 − 6.58128I 0
u = −1.73977 + 0.06078I
a = 1.078210 − 0.535523I
b = −0.559785 + 0.824397I
4.23196 − 5.58061I 0
u = −1.73977 − 0.06078I
a = 1.078210 + 0.535523I
b = −0.559785 − 0.824397I
4.23196 + 5.58061I 0
u = −1.72168 + 0.58364I
a = 0.665295 + 0.437886I
b = −0.512093 − 0.805704I
3.95688 − 2.31810I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.72168 − 0.58364I
a = 0.665295 − 0.437886I
b = −0.512093 + 0.805704I
3.95688 + 2.31810I 0
u = 0.00231274
a = 209.301
b = −0.715068
−1.80252 −6.42550
19
II. I
u
2
= h1.26 × 10
9
u
27
+ 4.32 × 10
9
u
26
+ · · · + 5.20 × 10
7
b + 2.15 × 10
9
, 2.70 ×
10
9
u
27
+9.57×10
9
u
26
+· · · +5.20×10
7
a+5.47×10
9
, u
28
+4u
27
+· · · +4u +1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
−u
2
a
7
=
−51.9309u
27
− 184.100u
26
+ ··· − 220.692u − 105.088
−24.3073u
27
− 83.1460u
26
+ ··· − 92.4215u − 41.4081
a
11
=
u
−u
3
+ u
a
2
=
42.8138u
27
+ 140.912u
26
+ ··· + 150.677u + 46.6348
−26.2980u
27
− 88.7752u
26
+ ··· − 102.672u − 46.0902
a
8
=
32.8105u
27
+ 107.956u
26
+ ··· + 132.280u + 42.8922
−15.8339u
27
− 53.7340u
26
+ ··· − 57.3321u − 27.2856
a
5
=
−42.8922u
27
− 138.758u
26
+ ··· − 156.936u − 38.2883
27.2856u
27
+ 93.3087u
26
+ ··· + 107.350u + 51.8105
a
1
=
16.5158u
27
+ 52.1364u
26
+ ··· + 48.0046u + 0.544645
−26.2980u
27
− 88.7752u
26
+ ··· − 102.672u − 46.0902
a
9
=
−5.47781u
27
− 2.30472u
26
+ ··· + 3.70582u + 46.6748
35.9766u
27
+ 126.222u
26
+ ··· + 136.948u + 72.6065
a
6
=
−47.0702u
27
− 142.768u
26
+ ··· − 144.845u − 29.3397
13.6173u
27
+ 54.0144u
26
+ ··· + 69.4618u + 42.8226
a
12
=
34.5053u
27
+ 113.134u
26
+ ··· + 115.058u + 25.6012
−14.5819u
27
− 49.5744u
26
+ ··· − 61.4701u − 31.9938
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
170207324695
1404237951
u
27
+
607236755090
1404237951
u
26
+ ··· +
784577069311
1404237951
u +
369833604713
1404237951
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
12
9(9u
28
− 114u
27
+ ··· − 10u + 1)
c
2
, c
5
3(3u
28
+ 19u
26
+ ··· − 5u
2
− 1)
c
3
, c
4
u
28
+ 4u
27
+ ··· + 4u + 1
c
6
u
28
− 7u
27
+ ··· − 84u + 9
c
7
, c
11
3(3u
28
+ 19u
26
+ ··· − 5u
2
− 1)
c
8
, c
10
u
28
− 4u
27
+ ··· − 4u + 1
c
9
u
28
+ 7u
27
+ ··· + 84u + 9
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
12
81(81y
28
+ 846y
27
+ ··· − 10y + 1)
c
2
, c
5
, c
7
c
11
9(9y
28
+ 114y
27
+ ··· + 10y + 1)
c
3
, c
4
, c
8
c
10
y
28
− 22y
27
+ ··· − 22y + 1
c
6
, c
9
y
28
+ y
27
+ ··· − 1908y + 81
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.925340 + 0.379139I
a = 2.24572 − 0.40917I
b = −0.809946 + 0.885187I
− 7.58066I 0. + 10.33198I
u = −0.925340 − 0.379139I
a = 2.24572 + 0.40917I
b = −0.809946 − 0.885187I
7.58066I 0. − 10.33198I
u = 0.844355 + 0.535785I
a = 0.319916 − 0.032322I
b = −0.033307 − 0.876029I
2.17293I 0. − 5.17447I
u = 0.844355 − 0.535785I
a = 0.319916 + 0.032322I
b = −0.033307 + 0.876029I
− 2.17293I 0. + 5.17447I
u = −0.728147 + 0.685421I
a = 0.356352 − 1.017430I
b = −0.227445 − 0.872245I
− 0.753054I − 60.10 − 0.363725I
u = −0.728147 − 0.685421I
a = 0.356352 + 1.017430I
b = −0.227445 + 0.872245I
0.753054I − 60.10 + 0.363725I
u = 0.826005
a = −0.646246
b = 0.825758
−0.795110 2.56130
u = 1.21065
a = 1.20132
b = −0.511759
0.795110 −2.56130
u = 0.605990 + 0.367273I
a = 2.09549 − 1.67335I
b = 0.283299 − 0.701338I
−3.27979 − 0.15002I −5.84561 − 1.06967I
u = 0.605990 − 0.367273I
a = 2.09549 + 1.67335I
b = 0.283299 + 0.701338I
−3.27979 + 0.15002I −5.84561 + 1.06967I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.546660 + 0.443958I
a = −1.28161 − 2.65989I
b = −0.291085 − 0.754240I
−2.81546 − 5.07259I −5.64758 + 6.26669I
u = −0.546660 − 0.443958I
a = −1.28161 + 2.65989I
b = −0.291085 + 0.754240I
−2.81546 + 5.07259I −5.64758 − 6.26669I
u = −0.627660 + 0.076465I
a = −1.40062 − 1.26509I
b = 0.485796 − 1.141260I
−3.87899 − 4.58805I −0.29140 + 2.17955I
u = −0.627660 − 0.076465I
a = −1.40062 + 1.26509I
b = 0.485796 + 1.141260I
−3.87899 + 4.58805I −0.29140 − 2.17955I
u = 0.529489 + 0.285554I
a = −1.66299 − 0.60648I
b = −0.362232 − 1.037760I
−3.94178 + 7.86870I −4.53132 − 9.27167I
u = 0.529489 − 0.285554I
a = −1.66299 + 0.60648I
b = −0.362232 + 1.037760I
−3.94178 − 7.86870I −4.53132 + 9.27167I
u = 1.206880 + 0.731454I
a = 0.756249 − 0.625801I
b = −0.689582 + 0.782871I
3.27979 − 0.15002I 5.84561 + 0.I
u = 1.206880 − 0.731454I
a = 0.756249 + 0.625801I
b = −0.689582 − 0.782871I
3.27979 + 0.15002I 5.84561 + 0.I
u = −1.10228 + 0.89519I
a = 1.60224 + 0.39206I
b = −0.662551 + 0.931523I
2.81546 − 5.07259I 5.64758 + 6.26669I
u = −1.10228 − 0.89519I
a = 1.60224 − 0.39206I
b = −0.662551 − 0.931523I
2.81546 + 5.07259I 5.64758 − 6.26669I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.534384 + 0.203784I
a = 1.06373 − 1.92237I
b = 0.404020 − 1.060990I
−4.75033 − 2.85360I −8.46799 + 4.45694I
u = −0.534384 − 0.203784I
a = 1.06373 + 1.92237I
b = 0.404020 + 1.060990I
−4.75033 + 2.85360I −8.46799 − 4.45694I
u = −1.56992 + 0.19126I
a = −1.052710 + 0.222195I
b = 0.471169 − 0.568839I
3.87899 − 4.58805I 0
u = −1.56992 − 0.19126I
a = −1.052710 − 0.222195I
b = 0.471169 + 0.568839I
3.87899 + 4.58805I 0
u = 1.46308 + 0.78904I
a = −1.42485 + 0.13099I
b = 0.640338 + 0.976825I
3.94178 + 7.86870I 0
u = 1.46308 − 0.78904I
a = −1.42485 − 0.13099I
b = 0.640338 − 0.976825I
3.94178 − 7.86870I 0
u = −1.63373 + 0.62301I
a = −0.894451 − 0.389690I
b = 0.634525 + 0.722910I
4.75033 − 2.85360I 0
u = −1.63373 − 0.62301I
a = −0.894451 + 0.389690I
b = 0.634525 − 0.722910I
4.75033 + 2.85360I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
81(9u
28
− 114u
27
+ ··· − 10u + 1)
· (9u
142
+ 519u
141
+ ··· + 57707u + 5329)
c
2
9(3u
28
+ 19u
26
+ ··· − 5u
2
− 1)(3u
142
+ 3u
141
+ ··· + 359u − 73)
c
3
(u
28
+ 4u
27
+ ··· + 4u + 1)(u
142
+ u
141
+ ··· − 907109u + 2099)
c
4
(u
28
+ 4u
27
+ ··· + 4u + 1)(u
142
− u
141
+ ··· + 907109u + 2099)
c
5
9(3u
28
+ 19u
26
+ ··· − 5u
2
− 1)(3u
142
− 3u
141
+ ··· − 359u − 73)
c
6
(u
28
− 7u
27
+ ··· − 84u + 9)
· (u
142
− 4u
141
+ ··· + 76091739u − 4428063)
c
7
9(3u
28
+ 19u
26
+ ··· − 5u
2
− 1)(3u
142
+ 3u
141
+ ··· + 359u − 73)
c
8
(u
28
− 4u
27
+ ··· − 4u + 1)(u
142
− u
141
+ ··· + 907109u + 2099)
c
9
(u
28
+ 7u
27
+ ··· + 84u + 9)
· (u
142
+ 4u
141
+ ··· − 76091739u − 4428063)
c
10
(u
28
− 4u
27
+ ··· − 4u + 1)(u
142
+ u
141
+ ··· − 907109u + 2099)
c
11
9(3u
28
+ 19u
26
+ ··· − 5u
2
− 1)(3u
142
− 3u
141
+ ··· − 359u − 73)
c
12
81(9u
28
− 114u
27
+ ··· − 10u + 1)
· (9u
142
− 519u
141
+ ··· − 57707u + 5329)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
12
6561(81y
28
+ 846y
27
+ ··· − 10y + 1)
· (81y
142
+ 6327y
141
+ ··· − 2560163929y + 28398241)
c
2
, c
5
, c
7
c
11
81(9y
28
+ 114y
27
+ ··· + 10y + 1)
· (9y
142
+ 519y
141
+ ··· + 57707y + 5329)
c
3
, c
4
, c
8
c
10
(y
28
− 22y
27
+ ··· − 22y + 1)
· (y
142
− 93y
141
+ ··· − 823753833325y + 4405801)
c
6
, c
9
(y
28
+ y
27
+ ··· − 1908y + 81)
· (y
142
− 26y
141
+ ··· − 783996286987719y + 19607741931969)
27
