12a
0294
(K12a
0294
)
A knot diagram
1
Linearized knot diagam
3 6 8 10 2 11 1 4 12 5 7 9
Solving Sequence
4,9
8
1,3
2 7 12 10 5 11 6
c
8
c
3
c
1
c
7
c
12
c
9
c
4
c
11
c
6
c
2
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h3.17496 × 10
616
u
134
+ 5.13470 × 10
616
u
133
+ ··· + 6.19398 × 10
616
b − 1.62760 × 10
620
,
5.51099 × 10
619
u
134
+ 1.88007 × 10
620
u
133
+ ··· + 3.10752 × 10
620
a − 8.57469 × 10
623
,
u
135
+ u
134
+ ··· + 7750u + 5017i
I
u
2
= h2.08927 × 10
22
u
36
+ 2.56204 × 10
22
u
35
+ ··· + 7.67580 × 10
21
b + 3.76326 × 10
22
,
− 1.91416 × 10
21
u
36
+ 1.69304 × 10
22
u
35
+ ··· + 7.67580 × 10
21
a + 1.86496 × 10
22
, u
37
− 12u
35
+ ··· − u − 1i
* 2 irreducible components of dim
C
= 0, with total 172 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
= h3.17 × 10
616
u
134
+ 5.13 × 10
616
u
133
+ · · · + 6.19 × 10
616
b − 1.63 ×
10
620
, 5.51 × 10
619
u
134
+ 1.88 × 10
620
u
133
+ · · · + 3.11 × 10
620
a − 8.57 ×
10
623
, u
135
+ u
134
+ · · · + 7750u + 5017i
(i) Arc colorings
a
4
=
0
u
a
9
=
1
0
a
8
=
1
u
2
a
1
=
−0.177344u
134
− 0.605006u
133
+ ··· + 5950.95u + 2759.34
−0.512588u
134
− 0.828983u
133
+ ··· + 7681.07u + 2627.71
a
3
=
−u
−u
3
+ u
a
2
=
0.263657u
134
+ 0.0494544u
133
+ ··· − 169.075u + 811.076
−0.628647u
134
− 1.07304u
133
+ ··· + 9934.28u + 3505.05
a
7
=
−0.00826351u
134
+ 0.878969u
133
+ ··· − 9133.12u − 5182.63
−0.0243474u
134
− 0.117595u
133
+ ··· + 955.457u + 433.067
a
12
=
0.335244u
134
+ 0.223977u
133
+ ··· − 1730.12u + 131.626
−0.512588u
134
− 0.828983u
133
+ ··· + 7681.07u + 2627.71
a
10
=
−0.492155u
134
− 0.951052u
133
+ ··· + 8453.57u + 3107.01
−0.933148u
134
− 1.74478u
133
+ ··· + 16041.9u + 5941.16
a
5
=
0.646521u
134
+ 0.778334u
133
+ ··· − 6570.11u − 1518.83
0.661129u
134
+ 1.13677u
133
+ ··· − 10388.5u − 3620.31
a
11
=
−0.843358u
134
− 0.644526u
133
+ ··· + 4347.49u − 75.8403
−0.455535u
134
− 0.874228u
133
+ ··· + 8006.36u + 3044.37
a
6
=
0.593592u
134
+ 0.536821u
133
+ ··· − 4315.52u − 495.398
−0.347295u
134
− 0.644904u
133
+ ··· + 5736.93u + 2132.87
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.96894u
134
+ 3.28735u
133
+ ··· − 28454.3u − 9458.29
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
135
+ 48u
134
+ ··· + 4u + 1
c
2
, c
5
u
135
+ 4u
134
+ ··· − 18u + 1
c
3
, c
8
u
135
+ u
134
+ ··· + 7750u + 5017
c
4
, c
10
u
135
− u
134
+ ··· + 5678572u + 1040987
c
6
, c
11
u
135
+ 2u
134
+ ··· − 535831u − 76529
c
7
u
135
− 2u
134
+ ··· − 1565265u − 501775
c
9
, c
12
u
135
+ 6u
134
+ ··· + 26u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
135
+ 92y
134
+ ··· + 33596y −1
c
2
, c
5
y
135
− 48y
134
+ ··· + 4y −1
c
3
, c
8
y
135
− 91y
134
+ ··· + 1438372876y −25170289
c
4
, c
10
y
135
− 119y
134
+ ··· + 42184843029686y −1083653934169
c
6
, c
11
y
135
− 98y
134
+ ··· + 100193084177y −5856687841
c
7
y
135
− 38y
134
+ ··· − 6333962430975y −251778150625
c
9
, c
12
y
135
+ 74y
134
+ ··· + 132y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.954640 + 0.318925I
a = 1.022950 + 0.479534I
b = 0.409133 + 0.567557I
0.43783 − 4.31705I 0
u = −0.954640 − 0.318925I
a = 1.022950 − 0.479534I
b = 0.409133 − 0.567557I
0.43783 + 4.31705I 0
u = −1.016170 + 0.093526I
a = −0.504006 + 0.995437I
b = −0.27251 + 1.98430I
2.61261 − 5.62917I 0
u = −1.016170 − 0.093526I
a = −0.504006 − 0.995437I
b = −0.27251 − 1.98430I
2.61261 + 5.62917I 0
u = 1.021340 + 0.033322I
a = −0.966207 + 0.288532I
b = −0.44325 + 1.52596I
1.64985 + 1.10466I 0
u = 1.021340 − 0.033322I
a = −0.966207 − 0.288532I
b = −0.44325 − 1.52596I
1.64985 − 1.10466I 0
u = 0.045443 + 1.044390I
a = 0.206992 + 0.575475I
b = −0.153999 − 0.852553I
−2.34746 + 1.63033I 0
u = 0.045443 − 1.044390I
a = 0.206992 − 0.575475I
b = −0.153999 + 0.852553I
−2.34746 − 1.63033I 0
u = −1.053430 + 0.017888I
a = 1.96645 + 0.94497I
b = 0.407511 − 1.031440I
8.16331 − 1.60493I 0
u = −1.053430 − 0.017888I
a = 1.96645 − 0.94497I
b = 0.407511 + 1.031440I
8.16331 + 1.60493I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.366593 + 0.867646I
a = 0.021724 + 0.959308I
b = 0.609946 − 0.326417I
6.32559 + 7.59825I 0
u = 0.366593 − 0.867646I
a = 0.021724 − 0.959308I
b = 0.609946 + 0.326417I
6.32559 − 7.59825I 0
u = −0.340482 + 1.001910I
a = 0.0761110 + 0.0320509I
b = 0.577563 + 1.081620I
−1.49987 + 5.25116I 0
u = −0.340482 − 1.001910I
a = 0.0761110 − 0.0320509I
b = 0.577563 − 1.081620I
−1.49987 − 5.25116I 0
u = 0.926531 + 0.122035I
a = −1.022900 + 0.634029I
b = −0.949437 + 0.519992I
0.989756 + 0.788732I 0
u = 0.926531 − 0.122035I
a = −1.022900 − 0.634029I
b = −0.949437 − 0.519992I
0.989756 − 0.788732I 0
u = 0.981987 + 0.420245I
a = 0.107399 + 0.859771I
b = −0.331020 + 1.374450I
2.10320 + 2.45744I 0
u = 0.981987 − 0.420245I
a = 0.107399 − 0.859771I
b = −0.331020 − 1.374450I
2.10320 − 2.45744I 0
u = 1.075440 + 0.013274I
a = 1.144210 + 0.391008I
b = 0.340818 + 0.757547I
1.85665 + 0.45415I 0
u = 1.075440 − 0.013274I
a = 1.144210 − 0.391008I
b = 0.340818 − 0.757547I
1.85665 − 0.45415I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.328439 + 1.041220I
a = 0.323246 − 0.415650I
b = 0.115260 + 0.974194I
−3.71401 + 2.08606I 0
u = −0.328439 − 1.041220I
a = 0.323246 + 0.415650I
b = 0.115260 − 0.974194I
−3.71401 − 2.08606I 0
u = −0.978375 + 0.488563I
a = 1.44781 − 0.31474I
b = 0.315948 − 0.980472I
−3.56580 − 1.03017I 0
u = −0.978375 − 0.488563I
a = 1.44781 + 0.31474I
b = 0.315948 + 0.980472I
−3.56580 + 1.03017I 0
u = −0.800525 + 0.421653I
a = 0.599308 + 1.110760I
b = 0.89496 + 1.15377I
1.63032 − 3.52071I 0
u = −0.800525 − 0.421653I
a = 0.599308 − 1.110760I
b = 0.89496 − 1.15377I
1.63032 + 3.52071I 0
u = −0.803341 + 0.388664I
a = 1.06597 + 1.26585I
b = 0.477105 − 1.057170I
5.47134 − 3.37942I 0
u = −0.803341 − 0.388664I
a = 1.06597 − 1.26585I
b = 0.477105 + 1.057170I
5.47134 + 3.37942I 0
u = 1.060180 + 0.351103I
a = 1.93172 + 0.28529I
b = 1.17905 + 1.23783I
6.39857 + 5.83677I 0
u = 1.060180 − 0.351103I
a = 1.93172 − 0.28529I
b = 1.17905 − 1.23783I
6.39857 − 5.83677I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.498013 + 0.702051I
a = −0.354922 − 0.896451I
b = 0.580572 + 0.322418I
7.64173 − 1.70956I 0
u = −0.498013 − 0.702051I
a = −0.354922 + 0.896451I
b = 0.580572 − 0.322418I
7.64173 + 1.70956I 0
u = −1.129260 + 0.169822I
a = −1.45636 + 0.25196I
b = −0.65385 + 1.34140I
3.05271 − 5.01411I 0
u = −1.129260 − 0.169822I
a = −1.45636 − 0.25196I
b = −0.65385 − 1.34140I
3.05271 + 5.01411I 0
u = 1.155020 + 0.033424I
a = 1.94958 − 0.72796I
b = 0.403614 + 1.012110I
7.77279 + 6.93659I 0
u = 1.155020 − 0.033424I
a = 1.94958 + 0.72796I
b = 0.403614 − 1.012110I
7.77279 − 6.93659I 0
u = −0.545023 + 0.637806I
a = 0.042747 − 0.188833I
b = 0.022084 + 1.256470I
−5.04744 − 3.41143I 0
u = −0.545023 − 0.637806I
a = 0.042747 + 0.188833I
b = 0.022084 − 1.256470I
−5.04744 + 3.41143I 0
u = 0.834362 + 0.002369I
a = −2.38438 − 0.35600I
b = −0.971622 − 0.629846I
0.078046 − 0.408426I 0
u = 0.834362 − 0.002369I
a = −2.38438 + 0.35600I
b = −0.971622 + 0.629846I
0.078046 + 0.408426I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.818052 + 0.120704I
a = −1.74314 − 1.47278I
b = 0.125304 − 0.347815I
7.31926 − 1.58600I 0
u = −0.818052 − 0.120704I
a = −1.74314 + 1.47278I
b = 0.125304 + 0.347815I
7.31926 + 1.58600I 0
u = 1.086350 + 0.476264I
a = −1.29461 + 0.78264I
b = −0.646687 − 0.048956I
5.92842 + 6.96503I 0
u = 1.086350 − 0.476264I
a = −1.29461 − 0.78264I
b = −0.646687 + 0.048956I
5.92842 − 6.96503I 0
u = 0.776366 + 0.241907I
a = −1.93972 + 1.89576I
b = 0.004136 + 0.356197I
5.99324 + 7.26808I 0
u = 0.776366 − 0.241907I
a = −1.93972 − 1.89576I
b = 0.004136 − 0.356197I
5.99324 − 7.26808I 0
u = −0.017793 + 1.188140I
a = 0.150013 + 0.321516I
b = 0.558235 − 1.096620I
5.47564 − 6.37114I 0
u = −0.017793 − 1.188140I
a = 0.150013 − 0.321516I
b = 0.558235 + 1.096620I
5.47564 + 6.37114I 0
u = 0.085695 + 0.805479I
a = 0.162751 + 0.609323I
b = −0.144643 − 1.008910I
−2.21134 + 1.64026I 0
u = 0.085695 − 0.805479I
a = 0.162751 − 0.609323I
b = −0.144643 + 1.008910I
−2.21134 − 1.64026I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.146760 + 0.343908I
a = −1.62910 − 0.73914I
b = −0.572216 − 1.071540I
−1.66219 + 5.65655I 0
u = 1.146760 − 0.343908I
a = −1.62910 + 0.73914I
b = −0.572216 + 1.071540I
−1.66219 − 5.65655I 0
u = 0.073056 + 0.799254I
a = −0.696832 − 0.588441I
b = −0.354850 + 1.227410I
−0.84591 − 6.66630I 0
u = 0.073056 − 0.799254I
a = −0.696832 + 0.588441I
b = −0.354850 − 1.227410I
−0.84591 + 6.66630I 0
u = −1.199230 + 0.037550I
a = −1.075130 + 0.804898I
b = −0.75485 + 1.21965I
3.47495 − 4.36587I 0
u = −1.199230 − 0.037550I
a = −1.075130 − 0.804898I
b = −0.75485 − 1.21965I
3.47495 + 4.36587I 0
u = −1.204740 + 0.210079I
a = −0.273983 + 0.754365I
b = 0.376121 + 0.529314I
7.21042 + 0.43135I 0
u = −1.204740 − 0.210079I
a = −0.273983 − 0.754365I
b = 0.376121 − 0.529314I
7.21042 − 0.43135I 0
u = −1.181180 + 0.337932I
a = −1.36591 − 0.54634I
b = −0.743455 + 0.035130I
6.99082 − 1.16731I 0
u = −1.181180 − 0.337932I
a = −1.36591 + 0.54634I
b = −0.743455 − 0.035130I
6.99082 + 1.16731I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.618926 + 1.061280I
a = 0.190901 − 0.125372I
b = −0.350949 + 1.005310I
−3.33552 − 0.69088I 0
u = 0.618926 − 1.061280I
a = 0.190901 + 0.125372I
b = −0.350949 − 1.005310I
−3.33552 + 0.69088I 0
u = 0.085830 + 0.757982I
a = −0.707780 + 0.757507I
b = −0.364628 − 1.172950I
−0.46524 + 1.51647I 0
u = 0.085830 − 0.757982I
a = −0.707780 − 0.757507I
b = −0.364628 + 1.172950I
−0.46524 − 1.51647I 0
u = 0.110124 + 0.751924I
a = −0.506523 + 0.036217I
b = −0.784393 + 0.029656I
3.03685 − 2.59231I 0
u = 0.110124 − 0.751924I
a = −0.506523 − 0.036217I
b = −0.784393 − 0.029656I
3.03685 + 2.59231I 0
u = 1.099620 + 0.592482I
a = −1.343520 + 0.130959I
b = −0.616344 − 1.192720I
−1.52443 + 6.62250I 0
u = 1.099620 − 0.592482I
a = −1.343520 − 0.130959I
b = −0.616344 + 1.192720I
−1.52443 − 6.62250I 0
u = −0.670835 + 0.267149I
a = 1.03893 − 1.55456I
b = 0.16201 − 1.42363I
1.97161 + 4.17594I 0
u = −0.670835 − 0.267149I
a = 1.03893 + 1.55456I
b = 0.16201 + 1.42363I
1.97161 − 4.17594I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.248030 + 0.339213I
a = 1.35352 − 0.53397I
b = 0.463130 + 0.981232I
4.16663 + 2.76856I 0
u = 1.248030 − 0.339213I
a = 1.35352 + 0.53397I
b = 0.463130 − 0.981232I
4.16663 − 2.76856I 0
u = −0.057520 + 1.305510I
a = 0.221046 − 0.269379I
b = 0.556090 + 1.097680I
4.16357 + 12.28470I 0
u = −0.057520 − 1.305510I
a = 0.221046 + 0.269379I
b = 0.556090 − 1.097680I
4.16357 − 12.28470I 0
u = −1.166530 + 0.590664I
a = 1.62830 − 0.01371I
b = 0.86405 − 1.15542I
1.10197 − 10.93990I 0
u = −1.166530 − 0.590664I
a = 1.62830 + 0.01371I
b = 0.86405 + 1.15542I
1.10197 + 10.93990I 0
u = −1.31941
a = −1.26332
b = −0.929967
5.55269 0
u = 1.249810 + 0.423782I
a = 1.310290 + 0.187469I
b = 0.396114 + 0.914800I
1.36572 + 2.83945I 0
u = 1.249810 − 0.423782I
a = 1.310290 − 0.187469I
b = 0.396114 − 0.914800I
1.36572 − 2.83945I 0
u = −1.298070 + 0.296134I
a = −1.360160 + 0.280784I
b = −0.604488 + 1.211900I
2.15466 − 5.46034I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.298070 − 0.296134I
a = −1.360160 − 0.280784I
b = −0.604488 − 1.211900I
2.15466 + 5.46034I 0
u = 1.300800 + 0.307473I
a = 1.329500 − 0.451366I
b = 1.38709 − 0.42975I
12.73450 + 5.05687I 0
u = 1.300800 − 0.307473I
a = 1.329500 + 0.451366I
b = 1.38709 + 0.42975I
12.73450 − 5.05687I 0
u = 1.298880 + 0.423032I
a = −1.82059 − 0.41547I
b = −0.498197 − 1.136970I
3.02034 + 11.19720I 0
u = 1.298880 − 0.423032I
a = −1.82059 + 0.41547I
b = −0.498197 + 1.136970I
3.02034 − 11.19720I 0
u = −1.317950 + 0.373625I
a = −1.72566 + 0.35705I
b = −0.512546 + 1.160790I
3.88460 − 5.67759I 0
u = −1.317950 − 0.373625I
a = −1.72566 − 0.35705I
b = −0.512546 − 1.160790I
3.88460 + 5.67759I 0
u = 0.622354 + 0.045822I
a = −0.436758 − 1.255640I
b = −0.525781 − 0.579751I
0.979130 − 0.632124I 9.84605 + 0.I
u = 0.622354 − 0.045822I
a = −0.436758 + 1.255640I
b = −0.525781 + 0.579751I
0.979130 + 0.632124I 9.84605 + 0.I
u = −1.344500 + 0.385467I
a = 1.225180 + 0.422218I
b = 1.276030 + 0.388643I
11.3606 − 11.9126I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.344500 − 0.385467I
a = 1.225180 − 0.422218I
b = 1.276030 − 0.388643I
11.3606 + 11.9126I 0
u = −1.282610 + 0.561653I
a = 1.357460 − 0.132402I
b = 0.420339 − 0.943750I
−0.49644 − 7.87026I 0
u = −1.282610 − 0.561653I
a = 1.357460 + 0.132402I
b = 0.420339 + 0.943750I
−0.49644 + 7.87026I 0
u = −1.409590 + 0.028451I
a = 0.37037 − 1.41879I
b = 0.297929 − 0.666588I
9.53256 − 1.57438I 0
u = −1.409590 − 0.028451I
a = 0.37037 + 1.41879I
b = 0.297929 + 0.666588I
9.53256 + 1.57438I 0
u = −1.42409 + 0.21233I
a = −1.030960 − 0.005193I
b = −0.977527 − 0.165450I
7.65750 − 0.58902I 0
u = −1.42409 − 0.21233I
a = −1.030960 + 0.005193I
b = −0.977527 + 0.165450I
7.65750 + 0.58902I 0
u = 1.40629 + 0.32566I
a = −0.975854 + 0.040849I
b = −0.975841 + 0.187470I
6.80870 + 6.30526I 0
u = 1.40629 − 0.32566I
a = −0.975854 − 0.040849I
b = −0.975841 − 0.187470I
6.80870 − 6.30526I 0
u = 0.269153 + 0.476261I
a = −0.944603 − 0.688052I
b = 0.588619 − 1.176620I
4.17085 − 2.44633I 8.78478 + 2.14755I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.269153 − 0.476261I
a = −0.944603 + 0.688052I
b = 0.588619 + 1.176620I
4.17085 + 2.44633I 8.78478 − 2.14755I
u = −1.22598 + 0.81052I
a = 0.826768 + 0.544146I
b = 0.541901 − 1.003310I
9.23685 − 4.51705I 0
u = −1.22598 − 0.81052I
a = 0.826768 − 0.544146I
b = 0.541901 + 1.003310I
9.23685 + 4.51705I 0
u = 1.47023 + 0.01762I
a = 0.59650 + 1.32725I
b = 0.314668 + 0.696933I
8.95415 − 3.75498I 0
u = 1.47023 − 0.01762I
a = 0.59650 − 1.32725I
b = 0.314668 − 0.696933I
8.95415 + 3.75498I 0
u = −0.224340 + 0.467691I
a = 1.207990 + 0.536436I
b = 0.160603 + 0.050600I
−1.54497 + 0.95371I −0.72705 − 2.44882I
u = −0.224340 − 0.467691I
a = 1.207990 − 0.536436I
b = 0.160603 − 0.050600I
−1.54497 − 0.95371I −0.72705 + 2.44882I
u = 0.518137
a = −4.13492
b = 0.0908048
1.00231 −0.767990
u = 1.38332 + 0.55183I
a = 1.44512 + 0.08441I
b = 0.76996 + 1.29547I
9.8865 + 12.4224I 0
u = 1.38332 − 0.55183I
a = 1.44512 − 0.08441I
b = 0.76996 − 1.29547I
9.8865 − 12.4224I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.26803 + 1.46651I
a = −0.014028 + 0.375503I
b = −0.398119 − 0.851557I
0.198012 − 0.942296I 0
u = −0.26803 − 1.46651I
a = −0.014028 − 0.375503I
b = −0.398119 + 0.851557I
0.198012 + 0.942296I 0
u = −0.406108 + 0.254970I
a = 3.23976 + 1.32405I
b = 1.045350 − 0.273646I
0.658119 + 0.043507I 6.16916 + 1.22417I
u = −0.406108 − 0.254970I
a = 3.23976 − 1.32405I
b = 1.045350 + 0.273646I
0.658119 − 0.043507I 6.16916 − 1.22417I
u = 0.351894 + 0.324168I
a = −0.552806 − 0.277941I
b = −0.269642 + 1.323580I
−4.34526 − 2.61796I 3.76862 − 10.99788I
u = 0.351894 − 0.324168I
a = −0.552806 + 0.277941I
b = −0.269642 − 1.323580I
−4.34526 + 2.61796I 3.76862 + 10.99788I
u = 0.41133 + 1.46911I
a = −0.013847 − 0.308079I
b = −0.415500 + 0.890485I
0.04370 − 4.35843I 0
u = 0.41133 − 1.46911I
a = −0.013847 + 0.308079I
b = −0.415500 − 0.890485I
0.04370 + 4.35843I 0
u = −1.41128 + 0.60551I
a = 1.42796 − 0.04215I
b = 0.73715 − 1.28137I
8.4921 − 18.9052I 0
u = −1.41128 − 0.60551I
a = 1.42796 + 0.04215I
b = 0.73715 + 1.28137I
8.4921 + 18.9052I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.52830 + 0.15956I
a = 0.497251 − 0.699857I
b = 0.420813 − 0.679037I
5.19359 − 0.98092I 0
u = 1.52830 − 0.15956I
a = 0.497251 + 0.699857I
b = 0.420813 + 0.679037I
5.19359 + 0.98092I 0
u = 1.34454 + 0.74655I
a = 0.880057 − 0.467093I
b = 0.540708 + 0.983870I
8.85975 − 1.11909I 0
u = 1.34454 − 0.74655I
a = 0.880057 + 0.467093I
b = 0.540708 − 0.983870I
8.85975 + 1.11909I 0
u = −1.45178 + 0.59117I
a = −1.112410 + 0.007592I
b = −0.614404 + 1.221490I
4.55748 − 6.26390I 0
u = −1.45178 − 0.59117I
a = −1.112410 − 0.007592I
b = −0.614404 − 1.221490I
4.55748 + 6.26390I 0
u = 1.43211 + 0.69162I
a = −1.105450 + 0.054070I
b = −0.609416 − 1.221970I
3.73815 + 11.96640I 0
u = 1.43211 − 0.69162I
a = −1.105450 − 0.054070I
b = −0.609416 + 1.221970I
3.73815 − 11.96640I 0
u = −0.386930 + 0.064980I
a = 1.19259 + 2.50460I
b = −0.287333 + 0.718290I
0.74093 − 3.92926I 9.27224 + 7.12527I
u = −0.386930 − 0.064980I
a = 1.19259 − 2.50460I
b = −0.287333 − 0.718290I
0.74093 + 3.92926I 9.27224 − 7.12527I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.57250 + 0.47371I
a = 0.269318 + 0.256751I
b = 0.529541 + 0.612262I
10.46630 − 0.14329I 0
u = −1.57250 − 0.47371I
a = 0.269318 − 0.256751I
b = 0.529541 − 0.612262I
10.46630 + 0.14329I 0
u = 0.330170
a = 0.203123
b = −0.368568
0.660268 15.3900
u = 1.65623 + 0.40911I
a = 0.370608 − 0.265809I
b = 0.531913 − 0.645291I
9.93153 − 5.47915I 0
u = 1.65623 − 0.40911I
a = 0.370608 + 0.265809I
b = 0.531913 + 0.645291I
9.93153 + 5.47915I 0
18
II.
I
u
2
= h2.09×10
22
u
36
+2.56×10
22
u
35
+· · ·+7.68×10
21
b+3.76×10
22
, −1.91×
10
21
u
36
+1.69×10
22
u
35
+· · ·+7.68×10
21
a+1.86×10
22
, u
37
−12u
35
+· · ·−u−1i
(i) Arc colorings
a
4
=
0
u
a
9
=
1
0
a
8
=
1
u
2
a
1
=
0.249376u
36
− 2.20569u
35
+ ··· + 0.695665u − 2.42966
−2.72190u
36
− 3.33781u
35
+ ··· − 10.7028u − 4.90276
a
3
=
−u
−u
3
+ u
a
2
=
2.04204u
36
+ 0.867788u
35
+ ··· + 6.46551u + 1.16648
−3.43496u
36
− 4.13136u
35
+ ··· − 11.6065u − 5.42543
a
7
=
−1.47743u
36
− 0.00601281u
35
+ ··· − 7.58490u − 1.08264
1.84676u
36
+ 1.00070u
35
+ ··· + 4.11989u + 1.03965
a
12
=
2.97127u
36
+ 1.13213u
35
+ ··· + 11.3984u + 2.47310
−2.72190u
36
− 3.33781u
35
+ ··· − 10.7028u − 4.90276
a
10
=
−2.05654u
36
+ 0.276059u
35
+ ··· − 1.25731u − 0.198647
−3.64746u
36
− 4.15924u
35
+ ··· − 13.7071u − 4.92284
a
5
=
1.39045u
36
+ 1.49384u
35
+ ··· + 5.12016u + 2.42308
0.276059u
36
+ 0.0385152u
35
+ ··· + 0.744813u − 1.05654
a
11
=
−1.74573u
36
− 0.934118u
35
+ ··· − 1.90313u − 1.95692
−5.31079u
36
− 4.39899u
35
+ ··· − 13.9931u − 5.76792
a
6
=
−2.70308u
36
− 0.312790u
35
+ ··· − 7.18489u − 0.829446
−3.33814u
36
− 5.19307u
35
+ ··· − 11.4892u − 6.83171
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
8151650212720905904431
7675801596370850801213
u
36
−
32984911662631719788396
7675801596370850801213
u
35
+ ··· −
87214248616827886512675
7675801596370850801213
u +
30007979366777715453898
7675801596370850801213
19
(iv) u-Polynomials at the component
20
Crossings u-Polynomials at each crossing
c
1
u
37
− 17u
36
+ ··· + 17u − 1
c
2
u
37
+ 3u
36
+ ··· − 3u − 1
c
3
u
37
− 12u
35
+ ··· − u + 1
c
4
u
37
− 20u
35
+ ··· − u − 1
c
5
u
37
− 3u
36
+ ··· − 3u + 1
c
6
u
37
+ u
36
+ ··· + 4u + 1
c
7
u
37
− u
36
+ ··· + 18u + 1
c
8
u
37
− 12u
35
+ ··· − u − 1
c
9
u
37
+ 7u
36
+ ··· − 9u − 1
c
10
u
37
− 20u
35
+ ··· − u + 1
c
11
u
37
− u
36
+ ··· + 4u − 1
c
12
u
37
− 7u
36
+ ··· − 9u + 1
21
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
37
+ 19y
36
+ ··· − 19y −1
c
2
, c
5
y
37
− 17y
36
+ ··· + 17y −1
c
3
, c
8
y
37
− 24y
36
+ ··· − 3y −1
c
4
, c
10
y
37
− 40y
36
+ ··· + 27y −1
c
6
, c
11
y
37
− 23y
36
+ ··· + 14y −1
c
7
y
37
− 7y
36
+ ··· + 286y −1
c
9
, c
12
y
37
+ 29y
36
+ ··· + 13y −1
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.202193 + 0.974130I
a = 0.668946 + 0.060892I
b = −0.223017 − 1.004520I
−0.97782 − 1.61437I 3.86106 + 2.47512I
u = −0.202193 − 0.974130I
a = 0.668946 − 0.060892I
b = −0.223017 + 1.004520I
−0.97782 + 1.61437I 3.86106 − 2.47512I
u = −0.904846 + 0.442772I
a = 1.38636 + 1.48435I
b = 0.370726 − 0.898766I
6.80483 − 2.72423I 9.29813 + 3.72151I
u = −0.904846 − 0.442772I
a = 1.38636 − 1.48435I
b = 0.370726 + 0.898766I
6.80483 + 2.72423I 9.29813 − 3.72151I
u = −0.947391 + 0.261441I
a = −0.88979 − 1.12635I
b = −0.92192 − 1.35431I
0.57551 − 2.26134I 3.08864 + 4.33324I
u = −0.947391 − 0.261441I
a = −0.88979 + 1.12635I
b = −0.92192 + 1.35431I
0.57551 + 2.26134I 3.08864 − 4.33324I
u = −1.004790 + 0.290236I
a = 1.25571 + 0.66758I
b = 0.536352 − 1.124580I
6.25081 − 3.49797I 13.5575 + 4.6400I
u = −1.004790 − 0.290236I
a = 1.25571 − 0.66758I
b = 0.536352 + 1.124580I
6.25081 + 3.49797I 13.5575 − 4.6400I
u = 0.222401 + 1.024760I
a = 0.710320 − 0.358879I
b = −0.209049 + 0.961152I
−0.81030 − 3.31141I 4.24962 + 3.25679I
u = 0.222401 − 1.024760I
a = 0.710320 + 0.358879I
b = −0.209049 − 0.961152I
−0.81030 + 3.31141I 4.24962 − 3.25679I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.787907 + 0.498980I
a = 1.55179 − 1.89631I
b = 0.300104 + 0.782942I
5.50127 + 7.99893I 6.44259 − 10.31994I
u = 0.787907 − 0.498980I
a = 1.55179 + 1.89631I
b = 0.300104 − 0.782942I
5.50127 − 7.99893I 6.44259 + 10.31994I
u = 0.238579 + 1.049900I
a = 0.109150 − 0.705688I
b = −0.277545 + 0.873021I
−2.39968 + 0.17604I 4.96016 − 0.58890I
u = 0.238579 − 1.049900I
a = 0.109150 + 0.705688I
b = −0.277545 − 0.873021I
−2.39968 − 0.17604I 4.96016 + 0.58890I
u = −0.337932 + 1.092110I
a = −0.096638 + 0.275644I
b = −0.347705 − 0.927317I
−2.75440 + 2.86668I 5.34542 − 6.58301I
u = −0.337932 − 1.092110I
a = −0.096638 − 0.275644I
b = −0.347705 + 0.927317I
−2.75440 − 2.86668I 5.34542 + 6.58301I
u = 1.155320 + 0.151520I
a = −1.37220 − 0.71298I
b = −0.75879 − 1.55996I
3.61864 + 5.73161I 14.9162 − 10.6715I
u = 1.155320 − 0.151520I
a = −1.37220 + 0.71298I
b = −0.75879 + 1.55996I
3.61864 − 5.73161I 14.9162 + 10.6715I
u = 0.797281 + 0.035038I
a = 0.06802 − 1.85966I
b = −0.12710 − 1.86213I
1.85490 + 5.14243I 3.51490 − 7.53938I
u = 0.797281 − 0.035038I
a = 0.06802 + 1.85966I
b = −0.12710 + 1.86213I
1.85490 − 5.14243I 3.51490 + 7.53938I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.261730 + 0.218873I
a = 0.124147 + 1.013570I
b = 0.446965 + 0.703313I
7.28772 + 1.03748I 10.57687 − 7.80594I
u = −1.261730 − 0.218873I
a = 0.124147 − 1.013570I
b = 0.446965 − 0.703313I
7.28772 − 1.03748I 10.57687 + 7.80594I
u = 0.688782
a = 3.70278
b = 0.750926
1.40912 20.6250
u = −0.671727
a = −2.62288
b = −1.24395
−0.625296 −3.19660
u = −1.258780 + 0.522894I
a = −1.48069 + 0.10562I
b = −0.644458 + 1.020230I
0.44708 − 8.47566I 8.91414 + 7.87235I
u = −1.258780 − 0.522894I
a = −1.48069 − 0.10562I
b = −0.644458 − 1.020230I
0.44708 + 8.47566I 8.91414 − 7.87235I
u = 1.40186
a = −1.04225
b = −0.631559
4.93040 6.00000
u = 1.360690 + 0.339877I
a = −1.374180 − 0.207786I
b = −0.554811 − 1.141860I
2.08994 + 4.75300I 6.00000 + 0.I
u = 1.360690 − 0.339877I
a = −1.374180 + 0.207786I
b = −0.554811 + 1.141860I
2.08994 − 4.75300I 6.00000 + 0.I
u = 1.43713
a = −0.684568
b = −0.176951
4.99871 6.00000
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.45171 + 0.23192I
a = −0.536957 + 0.972199I
b = 0.118709 + 0.663243I
9.18809 − 0.62253I 6.00000 + 0.I
u = −1.45171 − 0.23192I
a = −0.536957 − 0.972199I
b = 0.118709 − 0.663243I
9.18809 + 0.62253I 6.00000 + 0.I
u = 1.50104 + 0.19241I
a = −0.699439 − 0.841593I
b = 0.030924 − 0.635420I
8.64807 − 4.62211I 0. + 6.28193I
u = 1.50104 − 0.19241I
a = −0.699439 + 0.841593I
b = 0.030924 + 0.635420I
8.64807 + 4.62211I 0. − 6.28193I
u = −0.363326
a = −2.98674
b = −0.777663
−0.679362 1.52540
u = 0.059793 + 0.267004I
a = 0.392279 − 1.094540I
b = −0.199782 − 1.280950I
−4.28330 + 2.96100I 7.57434 − 10.64698I
u = 0.059793 − 0.267004I
a = 0.392279 + 1.094540I
b = −0.199782 + 1.280950I
−4.28330 − 2.96100I 7.57434 + 10.64698I
27
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
37
− 17u
36
+ ··· + 17u − 1)(u
135
+ 48u
134
+ ··· + 4u + 1)
c
2
(u
37
+ 3u
36
+ ··· − 3u − 1)(u
135
+ 4u
134
+ ··· − 18u + 1)
c
3
(u
37
− 12u
35
+ ··· − u + 1)(u
135
+ u
134
+ ··· + 7750u + 5017)
c
4
(u
37
− 20u
35
+ ··· − u − 1)(u
135
− u
134
+ ··· + 5678572u + 1040987)
c
5
(u
37
− 3u
36
+ ··· − 3u + 1)(u
135
+ 4u
134
+ ··· − 18u + 1)
c
6
(u
37
+ u
36
+ ··· + 4u + 1)(u
135
+ 2u
134
+ ··· − 535831u − 76529)
c
7
(u
37
− u
36
+ ··· + 18u + 1)(u
135
− 2u
134
+ ··· − 1565265u − 501775)
c
8
(u
37
− 12u
35
+ ··· − u − 1)(u
135
+ u
134
+ ··· + 7750u + 5017)
c
9
(u
37
+ 7u
36
+ ··· − 9u − 1)(u
135
+ 6u
134
+ ··· + 26u + 1)
c
10
(u
37
− 20u
35
+ ··· − u + 1)(u
135
− u
134
+ ··· + 5678572u + 1040987)
c
11
(u
37
− u
36
+ ··· + 4u − 1)(u
135
+ 2u
134
+ ··· − 535831u − 76529)
c
12
(u
37
− 7u
36
+ ··· − 9u + 1)(u
135
+ 6u
134
+ ··· + 26u + 1)
28
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
37
+ 19y
36
+ ··· − 19y −1)(y
135
+ 92y
134
+ ··· + 33596y −1)
c
2
, c
5
(y
37
− 17y
36
+ ··· + 17y −1)(y
135
− 48y
134
+ ··· + 4y −1)
c
3
, c
8
(y
37
− 24y
36
+ ··· − 3y −1)
· (y
135
− 91y
134
+ ··· + 1438372876y −25170289)
c
4
, c
10
(y
37
− 40y
36
+ ··· + 27y −1)
· (y
135
− 119y
134
+ ··· + 42184843029686y −1083653934169)
c
6
, c
11
(y
37
− 23y
36
+ ··· + 14y −1)
· (y
135
− 98y
134
+ ··· + 100193084177y −5856687841)
c
7
(y
37
− 7y
36
+ ··· + 286y −1)
· (y
135
− 38y
134
+ ··· − 6333962430975y −251778150625)
c
9
, c
12
(y
37
+ 29y
36
+ ··· + 13y −1)(y
135
+ 74y
134
+ ··· + 132y −1)
29
