12a
1227
(K12a
1227
)
A knot diagram
1
Linearized knot diagam
5 6 8 12 10 11 3 4 1 2 7 9
Solving Sequence
3,7
8 4
9,11
12 5 6 2 1 10
c
7
c
3
c
8
c
11
c
4
c
6
c
2
c
1
c
10
c
5
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h7.98393 × 10
349
u
118
+ 1.68479 × 10
350
u
117
+ ··· + 6.11588 × 10
349
b + 3.23054 × 10
349
,
− 1.60699 × 10
350
u
118
− 1.85142 × 10
350
u
117
+ ··· + 6.11588 × 10
349
a + 3.45671 × 10
351
,
u
119
+ u
118
+ ··· + 24u − 1i
I
u
2
= h−357u
23
+ 327u
22
+ ··· + 1579b + 1708, −19392u
23
+ 8169u
22
+ ··· + 30001a + 14942,
u
24
− 16u
22
+ ··· + 4u − 1i
* 2 irreducible components of dim
C
= 0, with total 143 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
= h7.98 × 10
349
u
118
+ 1.68 × 10
350
u
117
+ · · · + 6.12 × 10
349
b + 3.23 ×
10
349
, −1.61 × 10
350
u
118
− 1.85 × 10
350
u
117
+ · · · + 6.12 × 10
349
a + 3.46 ×
10
351
, u
119
+ u
118
+ · · · + 24u − 1i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
4
=
u
−u
3
+ u
a
9
=
−u
2
+ 1
u
4
− 2u
2
a
11
=
2.62757u
118
+ 3.02724u
117
+ ··· + 182.921u − 56.5203
−1.30544u
118
− 2.75478u
117
+ ··· − 32.8072u − 0.528222
a
12
=
3.93302u
118
+ 5.78201u
117
+ ··· + 215.728u − 55.9920
−1.30544u
118
− 2.75478u
117
+ ··· − 32.8072u − 0.528222
a
5
=
−9.05213u
118
− 12.4473u
117
+ ··· − 1075.39u − 12.4747
−2.62416u
118
− 5.54499u
117
+ ··· − 122.351u + 2.00968
a
6
=
3.77228u
118
+ 4.58088u
117
+ ··· + 16.4140u − 72.6929
−2.33609u
118
− 5.29085u
117
+ ··· − 40.3513u − 1.16876
a
2
=
−8.43648u
118
− 4.70064u
117
+ ··· − 2933.04u − 14.4301
0.0426533u
118
+ 0.286147u
117
+ ··· − 84.7869u − 0.871764
a
1
=
2.96289u
118
+ 3.85385u
117
+ ··· + 199.978u − 56.9956
−1.06822u
118
− 2.22728u
117
+ ··· − 32.5595u − 0.513198
a
10
=
−3.11074u
118
+ 1.76443u
117
+ ··· − 459.746u + 91.1873
−0.992728u
118
− 2.77364u
117
+ ··· + 58.9070u + 0.0751447
(ii) Obstruction class = −1
(iii) Cusp Shapes = 5.87699u
118
+ 9.13379u
117
+ ··· + 382.108u − 20.5150
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
119
− 6u
118
+ ··· − 9u − 1
c
2
u
119
− 6u
117
+ ··· − 511u − 31
c
3
, c
7
, c
8
u
119
+ u
118
+ ··· + 24u − 1
c
4
u
119
+ 23u
117
+ ··· + 67021094u − 10361027
c
5
u
119
+ 3u
118
+ ··· + 10287u + 923
c
6
, c
11
u
119
− u
118
+ ··· − 3875u + 1543
c
9
, c
12
u
119
− 3u
118
+ ··· − 75u + 25
c
10
u
119
+ 5u
118
+ ··· − 11110u − 1273
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
119
− 8y
118
+ ··· − 343y −1
c
2
y
119
− 12y
118
+ ··· + 125031y −961
c
3
, c
7
, c
8
y
119
− 129y
118
+ ··· + 2056y −1
c
4
y
119
+ 46y
118
+ ··· − 287139490646178y −107350880494729
c
5
y
119
− 35y
118
+ ··· + 57121197y −851929
c
6
, c
11
y
119
− 75y
118
+ ··· + 37062009y −2380849
c
9
, c
12
y
119
− 99y
118
+ ··· + 45525y −625
c
10
y
119
− 35y
118
+ ··· + 151840368y −1620529
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.783826 + 0.673151I
a = −0.216827 − 0.203184I
b = −0.158928 − 0.491823I
4.99500 + 0.48815I 0
u = 0.783826 − 0.673151I
a = −0.216827 + 0.203184I
b = −0.158928 + 0.491823I
4.99500 − 0.48815I 0
u = 0.741550 + 0.749408I
a = −0.935113 − 0.871070I
b = −1.134540 − 0.277646I
−3.52756 − 3.70215I 0
u = 0.741550 − 0.749408I
a = −0.935113 + 0.871070I
b = −1.134540 + 0.277646I
−3.52756 + 3.70215I 0
u = −0.801817 + 0.421133I
a = 2.07033 − 0.17977I
b = 1.349560 + 0.071490I
0.508863 + 0.517461I 0
u = −0.801817 − 0.421133I
a = 2.07033 + 0.17977I
b = 1.349560 − 0.071490I
0.508863 − 0.517461I 0
u = 1.086750 + 0.206474I
a = 0.014400 + 0.364047I
b = 1.254800 + 0.195770I
1.61306 − 0.16049I 0
u = 1.086750 − 0.206474I
a = 0.014400 − 0.364047I
b = 1.254800 − 0.195770I
1.61306 + 0.16049I 0
u = 0.661944 + 0.893086I
a = −1.71425 − 0.40399I
b = −1.313280 + 0.473603I
0.40215 + 13.78770I 0
u = 0.661944 − 0.893086I
a = −1.71425 + 0.40399I
b = −1.313280 − 0.473603I
0.40215 − 13.78770I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.416097 + 0.782192I
a = 1.86636 + 0.24092I
b = 1.306350 − 0.488381I
−4.42041 + 8.82154I 0
u = 0.416097 − 0.782192I
a = 1.86636 − 0.24092I
b = 1.306350 + 0.488381I
−4.42041 − 8.82154I 0
u = −0.574695 + 0.647677I
a = 1.62529 − 0.92808I
b = 1.262230 + 0.455875I
−2.49040 − 6.19290I 0
u = −0.574695 − 0.647677I
a = 1.62529 + 0.92808I
b = 1.262230 − 0.455875I
−2.49040 + 6.19290I 0
u = −0.677505 + 0.524671I
a = 0.019107 + 0.301745I
b = 0.118594 + 0.926758I
4.71784 − 8.82006I 0
u = −0.677505 − 0.524671I
a = 0.019107 − 0.301745I
b = 0.118594 − 0.926758I
4.71784 + 8.82006I 0
u = −0.470312 + 1.045690I
a = −1.81475 + 0.19836I
b = −1.118810 − 0.326807I
2.26449 − 3.74317I 0
u = −0.470312 − 1.045690I
a = −1.81475 − 0.19836I
b = −1.118810 + 0.326807I
2.26449 + 3.74317I 0
u = −1.15263
a = −1.74831
b = −1.47880
−3.79289 0
u = −0.741818 + 0.385059I
a = 1.058650 − 0.239227I
b = 0.293372 − 0.493861I
4.60427 − 2.10056I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.741818 − 0.385059I
a = 1.058650 + 0.239227I
b = 0.293372 + 0.493861I
4.60427 + 2.10056I 0
u = −0.814321
a = 0.259978
b = 1.51848
−5.07244 0
u = 0.533083 + 1.061160I
a = 1.282920 + 0.147078I
b = 0.855188 − 0.331276I
3.43234 + 5.42187I 0
u = 0.533083 − 1.061160I
a = 1.282920 − 0.147078I
b = 0.855188 + 0.331276I
3.43234 − 5.42187I 0
u = −0.017184 + 0.806174I
a = 0.938496 + 0.607481I
b = 0.100038 + 0.252507I
2.72972 + 4.74887I 0
u = −0.017184 − 0.806174I
a = 0.938496 − 0.607481I
b = 0.100038 − 0.252507I
2.72972 − 4.74887I 0
u = 1.20000
a = −0.164115
b = 0.650906
2.94755 0
u = −0.388134 + 0.683011I
a = −2.00871 + 1.74934I
b = −1.168790 − 0.013308I
−0.74343 − 4.59228I 0
u = −0.388134 − 0.683011I
a = −2.00871 − 1.74934I
b = −1.168790 + 0.013308I
−0.74343 + 4.59228I 0
u = −0.449709 + 0.638205I
a = −1.34616 + 0.70408I
b = −1.193720 + 0.238463I
−2.86094 + 1.81157I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.449709 − 0.638205I
a = −1.34616 − 0.70408I
b = −1.193720 − 0.238463I
−2.86094 − 1.81157I 0
u = 0.539349 + 1.156330I
a = 1.308390 + 0.530212I
b = 1.133690 + 0.298052I
−0.13769 − 7.33062I 0
u = 0.539349 − 1.156330I
a = 1.308390 − 0.530212I
b = 1.133690 − 0.298052I
−0.13769 + 7.33062I 0
u = −1.288560 + 0.086773I
a = −0.71796 + 1.34991I
b = −0.792859 − 0.120664I
1.51857 + 2.36045I 0
u = −1.288560 − 0.086773I
a = −0.71796 − 1.34991I
b = −0.792859 + 0.120664I
1.51857 − 2.36045I 0
u = −0.450347 + 0.542142I
a = −1.66178 + 0.61740I
b = −1.36876 − 0.38183I
−4.96532 − 2.22329I 0
u = −0.450347 − 0.542142I
a = −1.66178 − 0.61740I
b = −1.36876 + 0.38183I
−4.96532 + 2.22329I 0
u = −0.374772 + 0.554234I
a = 1.34861 − 1.61629I
b = 1.215580 − 0.041173I
−5.14854 − 1.34204I 0
u = −0.374772 − 0.554234I
a = 1.34861 + 1.61629I
b = 1.215580 + 0.041173I
−5.14854 + 1.34204I 0
u = 0.133709 + 0.626579I
a = −1.57100 − 0.17686I
b = −0.730434 + 0.360984I
−0.56029 + 1.61420I 0. − 4.39137I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.133709 − 0.626579I
a = −1.57100 + 0.17686I
b = −0.730434 − 0.360984I
−0.56029 − 1.61420I 0. + 4.39137I
u = 0.616361 + 0.135780I
a = 1.04478 − 1.01297I
b = −0.606663 + 0.683575I
3.02625 − 2.07929I 7.46406 + 2.32307I
u = 0.616361 − 0.135780I
a = 1.04478 + 1.01297I
b = −0.606663 − 0.683575I
3.02625 + 2.07929I 7.46406 − 2.32307I
u = −1.289390 + 0.482136I
a = 1.035570 − 0.686569I
b = 0.689723 + 0.021505I
4.69451 − 2.49642I 0
u = −1.289390 − 0.482136I
a = 1.035570 + 0.686569I
b = 0.689723 − 0.021505I
4.69451 + 2.49642I 0
u = −1.372900 + 0.101523I
a = 0.588471 − 0.807499I
b = 1.31854 + 1.05837I
2.68431 − 4.77965I 0
u = −1.372900 − 0.101523I
a = 0.588471 + 0.807499I
b = 1.31854 − 1.05837I
2.68431 + 4.77965I 0
u = 1.386500 + 0.014353I
a = 0.153501 − 0.393001I
b = 0.875671 + 0.336324I
3.19548 − 0.00342I 0
u = 1.386500 − 0.014353I
a = 0.153501 + 0.393001I
b = 0.875671 − 0.336324I
3.19548 + 0.00342I 0
u = −1.389630 + 0.057876I
a = 0.28113 + 1.60202I
b = 0.838085 − 0.100552I
6.32058 − 6.57897I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.389630 − 0.057876I
a = 0.28113 − 1.60202I
b = 0.838085 + 0.100552I
6.32058 + 6.57897I 0
u = −1.374270 + 0.215731I
a = 0.799521 − 0.901969I
b = 0.845827 + 0.747284I
4.28825 − 4.65871I 0
u = −1.374270 − 0.215731I
a = 0.799521 + 0.901969I
b = 0.845827 − 0.747284I
4.28825 + 4.65871I 0
u = −0.244644 + 0.535017I
a = 3.04658 − 0.38815I
b = 1.100900 + 0.347963I
−1.53053 − 4.40266I −0.48702 + 8.42962I
u = −0.244644 − 0.535017I
a = 3.04658 + 0.38815I
b = 1.100900 − 0.347963I
−1.53053 + 4.40266I −0.48702 − 8.42962I
u = 0.505354 + 0.285257I
a = −0.436845 + 0.238141I
b = 0.216998 + 0.552364I
0.982258 + 0.865831I 6.58800 − 2.25525I
u = 0.505354 − 0.285257I
a = −0.436845 − 0.238141I
b = 0.216998 − 0.552364I
0.982258 − 0.865831I 6.58800 + 2.25525I
u = −1.42284
a = 1.31390
b = 1.71674
3.50236 0
u = 0.402582 + 0.410829I
a = −0.587410 − 0.124366I
b = 0.107011 + 0.817052I
1.14718 + 1.43503I 0. − 3.66081I
u = 0.402582 − 0.410829I
a = −0.587410 + 0.124366I
b = 0.107011 − 0.817052I
1.14718 − 1.43503I 0. + 3.66081I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.43648 + 0.18164I
a = −0.275751 − 1.145720I
b = −1.000100 + 0.206076I
0.66182 + 4.01471I 0
u = 1.43648 − 0.18164I
a = −0.275751 + 1.145720I
b = −1.000100 − 0.206076I
0.66182 − 4.01471I 0
u = 1.45089 + 0.07164I
a = 0.111828 + 0.263317I
b = −0.03498 − 1.65762I
5.78604 + 4.91020I 0
u = 1.45089 − 0.07164I
a = 0.111828 − 0.263317I
b = −0.03498 + 1.65762I
5.78604 − 4.91020I 0
u = 1.45729 + 0.00794I
a = 1.07092 + 1.33028I
b = 1.234740 − 0.496336I
7.56598 + 6.03668I 0
u = 1.45729 − 0.00794I
a = 1.07092 − 1.33028I
b = 1.234740 + 0.496336I
7.56598 − 6.03668I 0
u = 1.44834 + 0.19448I
a = −1.14220 − 1.02923I
b = −1.291660 + 0.503632I
4.06289 + 7.10111I 0
u = 1.44834 − 0.19448I
a = −1.14220 + 1.02923I
b = −1.291660 − 0.503632I
4.06289 − 7.10111I 0
u = 1.44815 + 0.24478I
a = 0.989060 + 0.463033I
b = 1.060290 − 0.357460I
3.92561 + 1.61764I 0
u = 1.44815 − 0.24478I
a = 0.989060 − 0.463033I
b = 1.060290 + 0.357460I
3.92561 − 1.61764I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.46943 + 0.02975I
a = −0.441301 − 0.414304I
b = −1.44140 + 1.18312I
7.94678 − 3.36309I 0
u = −1.46943 − 0.02975I
a = −0.441301 + 0.414304I
b = −1.44140 − 1.18312I
7.94678 + 3.36309I 0
u = 1.47254 + 0.00061I
a = −1.126420 − 0.604585I
b = −1.178530 + 0.373979I
8.88118 + 0.88776I 0
u = 1.47254 − 0.00061I
a = −1.126420 + 0.604585I
b = −1.178530 − 0.373979I
8.88118 − 0.88776I 0
u = −1.47651 + 0.08583I
a = 0.074116 − 0.633741I
b = −0.473324 + 1.122990I
7.27532 − 3.06177I 0
u = −1.47651 − 0.08583I
a = 0.074116 + 0.633741I
b = −0.473324 − 1.122990I
7.27532 + 3.06177I 0
u = −0.159251 + 0.484137I
a = −1.50204 − 1.02306I
b = −0.253933 − 0.158386I
−0.97154 + 1.46811I −2.06787 − 0.05927I
u = −0.159251 − 0.484137I
a = −1.50204 + 1.02306I
b = −0.253933 + 0.158386I
−0.97154 − 1.46811I −2.06787 + 0.05927I
u = 1.48382 + 0.16583I
a = 0.581931 + 0.745668I
b = 1.40995 − 0.74614I
1.34481 + 4.77242I 0
u = 1.48382 − 0.16583I
a = 0.581931 − 0.745668I
b = 1.40995 + 0.74614I
1.34481 − 4.77242I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.47548 + 0.26535I
a = −0.919084 + 0.856884I
b = −1.40009 − 0.71233I
1.67974 − 12.58020I 0
u = −1.47548 − 0.26535I
a = −0.919084 − 0.856884I
b = −1.40009 + 0.71233I
1.67974 + 12.58020I 0
u = 0.020730 + 0.495373I
a = −2.11879 + 0.42208I
b = −1.223280 + 0.615650I
−1.75362 + 2.92297I −11.06509 − 4.64185I
u = 0.020730 − 0.495373I
a = −2.11879 − 0.42208I
b = −1.223280 − 0.615650I
−1.75362 − 2.92297I −11.06509 + 4.64185I
u = −1.51048 + 0.05060I
a = 0.273239 − 0.332307I
b = −0.142709 + 0.892477I
7.68561 − 1.96433I 0
u = −1.51048 − 0.05060I
a = 0.273239 + 0.332307I
b = −0.142709 − 0.892477I
7.68561 + 1.96433I 0
u = 1.49906 + 0.22740I
a = 0.58003 + 1.50112I
b = 1.037900 − 0.178969I
5.46655 + 7.87006I 0
u = 1.49906 − 0.22740I
a = 0.58003 − 1.50112I
b = 1.037900 + 0.178969I
5.46655 − 7.87006I 0
u = 1.52861
a = −0.852788
b = −1.80094
8.30730 0
u = −0.365772 + 0.277281I
a = 0.112919 − 0.759821I
b = −0.177076 − 1.006340I
−0.07704 − 3.67817I 3.15367 + 13.07569I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.365772 − 0.277281I
a = 0.112919 + 0.759821I
b = −0.177076 + 1.006340I
−0.07704 + 3.67817I 3.15367 − 13.07569I
u = 1.55634 + 0.16426I
a = −0.183345 + 0.137767I
b = −0.515489 − 1.018250I
12.12290 + 4.42041I 0
u = 1.55634 − 0.16426I
a = −0.183345 − 0.137767I
b = −0.515489 + 1.018250I
12.12290 − 4.42041I 0
u = 1.55651 + 0.21206I
a = −0.651315 − 1.047660I
b = −1.249910 + 0.648588I
4.57623 + 9.36223I 0
u = 1.55651 − 0.21206I
a = −0.651315 + 1.047660I
b = −1.249910 − 0.648588I
4.57623 − 9.36223I 0
u = 1.56259 + 0.17454I
a = −0.192044 − 0.241804I
b = −0.013322 + 1.325820I
12.1334 + 11.4548I 0
u = 1.56259 − 0.17454I
a = −0.192044 + 0.241804I
b = −0.013322 − 1.325820I
12.1334 − 11.4548I 0
u = 1.55748 + 0.35178I
a = 1.21380 + 0.79400I
b = 1.319590 − 0.482937I
8.87489 + 8.71547I 0
u = 1.55748 − 0.35178I
a = 1.21380 − 0.79400I
b = 1.319590 + 0.482937I
8.87489 − 8.71547I 0
u = −1.59528 + 0.07138I
a = −0.465733 − 0.433255I
b = 0.231914 + 0.762690I
10.67830 + 1.22120I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.59528 − 0.07138I
a = −0.465733 + 0.433255I
b = 0.231914 − 0.762690I
10.67830 − 1.22120I 0
u = −1.59240 + 0.18587I
a = −0.122942 + 0.192170I
b = 0.028521 − 0.936468I
12.89570 − 3.59750I 0
u = −1.59240 − 0.18587I
a = −0.122942 − 0.192170I
b = 0.028521 + 0.936468I
12.89570 + 3.59750I 0
u = −1.57325 + 0.33241I
a = −0.932182 + 0.637288I
b = −1.065600 − 0.641282I
10.3392 − 10.3124I 0
u = −1.57325 − 0.33241I
a = −0.932182 − 0.637288I
b = −1.065600 + 0.641282I
10.3392 + 10.3124I 0
u = −1.59134 + 0.30352I
a = 1.012700 − 0.839321I
b = 1.41081 + 0.63434I
7.7367 − 18.2084I 0
u = −1.59134 − 0.30352I
a = 1.012700 + 0.839321I
b = 1.41081 − 0.63434I
7.7367 + 18.2084I 0
u = −1.66904
a = 0.470054
b = −0.841358
11.1048 0
u = 0.296335 + 0.109239I
a = 1.31456 − 0.61954I
b = 1.08045 + 0.93016I
2.00451 + 2.89191I 20.3369 − 9.3949I
u = 0.296335 − 0.109239I
a = 1.31456 + 0.61954I
b = 1.08045 − 0.93016I
2.00451 − 2.89191I 20.3369 + 9.3949I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.274958 + 0.033509I
a = 3.92057 + 2.96124I
b = 0.692511 − 0.216965I
2.94258 + 0.93458I 4.62277 − 3.39827I
u = −0.274958 − 0.033509I
a = 3.92057 − 2.96124I
b = 0.692511 + 0.216965I
2.94258 − 0.93458I 4.62277 + 3.39827I
u = −1.79937
a = 0.298486
b = 0.807346
5.89015 0
u = 1.72055 + 0.54759I
a = −0.969803 − 0.258788I
b = −1.023630 + 0.324004I
7.24461 + 1.68751I 0
u = 1.72055 − 0.54759I
a = −0.969803 + 0.258788I
b = −1.023630 − 0.324004I
7.24461 − 1.68751I 0
u = −0.139795 + 0.034965I
a = −1.43141 − 13.25760I
b = −0.979882 + 0.342748I
1.99476 + 6.03873I 8.82818 − 7.50254I
u = −0.139795 − 0.034965I
a = −1.43141 + 13.25760I
b = −0.979882 − 0.342748I
1.99476 − 6.03873I 8.82818 + 7.50254I
u = 0.0228075
a = −47.4142
b = −1.44122
−1.54394 −6.89090
u = −2.18237
a = −0.668221
b = −0.805343
8.97848 0
16
II. I
u
2
= h−357u
23
+ 327u
22
+ · · · + 1579b + 1708, −19392u
23
+ 8169u
22
+
· · · + 30001a + 14942, u
24
− 16u
22
+ · · · + 4u − 1i
(i) Arc colorings
a
3
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
4
=
u
−u
3
+ u
a
9
=
−u
2
+ 1
u
4
− 2u
2
a
11
=
0.646378u
23
− 0.272291u
22
+ ··· + 3.88070u − 0.498050
0.226092u
23
− 0.207093u
22
+ ··· − 1.69411u − 1.08170
a
12
=
0.420286u
23
− 0.0651978u
22
+ ··· + 5.57481u + 0.583647
0.226092u
23
− 0.207093u
22
+ ··· − 1.69411u − 1.08170
a
5
=
0.617513u
23
− 0.251158u
22
+ ··· − 6.93854u + 1.40889
−0.114130u
23
− 0.422219u
22
+ ··· + 8.41215u − 1.73054
a
6
=
−0.121329u
23
− 0.885770u
22
+ ··· + 1.29096u + 2.60421
−u
21
+ 14u
19
+ ··· − 6u + 1
a
2
=
0.543549u
23
+ 0.435785u
22
+ ··· − 3.01693u − 0.490084
−1.62061u
23
+ 1.45435u
22
+ ··· + 1.38635u − 1.00087
a
1
=
0.294657u
23
+ 0.00829972u
22
+ ··· + 5.29339u − 1.18166
−0.196127u
23
+ 0.242892u
22
+ ··· − 1.96813u − 1.19583
a
10
=
−1.34049u
23
+ 0.286224u
22
+ ··· + 1.76844u + 1.62281
1.49808u
23
− 1.58405u
22
+ ··· + 0.884404u − 1.17246
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
72929
30001
u
23
+
337327
30001
u
22
+ ··· −
1432645
30001
u +
111446
30001
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
24
+ 7u
23
+ ··· − u − 1
c
2
u
24
− u
23
+ ··· − 9u + 1
c
3
u
24
− 16u
22
+ ··· − 4u − 1
c
4
u
24
+ u
23
+ ··· + 10u − 1
c
5
u
24
− 5u
22
+ ··· + u + 1
c
6
u
24
− 9u
22
+ ··· + u + 1
c
7
, c
8
u
24
− 16u
22
+ ··· + 4u − 1
c
9
u
24
− 11u
22
+ ··· − 27u + 1
c
10
u
24
− 7u
22
+ ··· + 2u + 1
c
11
u
24
− 9u
22
+ ··· − u + 1
c
12
u
24
− 11u
22
+ ··· + 27u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
24
− 11y
23
+ ··· − 17y + 1
c
2
y
24
− 7y
23
+ ··· − 11y + 1
c
3
, c
7
, c
8
y
24
− 32y
23
+ ··· + 8y + 1
c
4
y
24
+ 7y
23
+ ··· − 62y + 1
c
5
y
24
− 10y
23
+ ··· − 37y + 1
c
6
, c
11
y
24
− 18y
23
+ ··· − 49y + 1
c
9
, c
12
y
24
− 22y
23
+ ··· − 557y + 1
c
10
y
24
− 14y
23
+ ··· − 16y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.884276
a = 2.45094
b = 1.38868
−0.416234 −0.988440
u = 0.833726 + 0.150154I
a = −0.926544 + 0.380924I
b = 0.355362 − 0.010123I
3.72145 − 0.05680I 10.28367 + 0.19864I
u = 0.833726 − 0.150154I
a = −0.926544 − 0.380924I
b = 0.355362 + 0.010123I
3.72145 + 0.05680I 10.28367 − 0.19864I
u = −1.15525
a = −1.56847
b = −1.51687
−3.55309 18.2890
u = −1.20318
a = −0.0821325
b = −1.58263
0.995515 −8.27780
u = −0.025011 + 0.776030I
a = −2.86772 − 0.23928I
b = −1.039190 − 0.237902I
1.01230 − 5.88067I 1.29205 + 6.08376I
u = −0.025011 − 0.776030I
a = −2.86772 + 0.23928I
b = −1.039190 + 0.237902I
1.01230 + 5.88067I 1.29205 − 6.08376I
u = 1.309980 + 0.414989I
a = −1.231750 − 0.608402I
b = −0.825626 + 0.284908I
4.58217 + 3.17986I 7.54563 − 8.28419I
u = 1.309980 − 0.414989I
a = −1.231750 + 0.608402I
b = −0.825626 − 0.284908I
4.58217 − 3.17986I 7.54563 + 8.28419I
u = 1.394540 + 0.123801I
a = −0.584880 − 0.951528I
b = −1.097060 + 0.885087I
3.26605 + 4.85652I 6.97618 − 7.72007I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.394540 − 0.123801I
a = −0.584880 + 0.951528I
b = −1.097060 − 0.885087I
3.26605 − 4.85652I 6.97618 + 7.72007I
u = −0.574755
a = −0.227975
b = 1.42900
−5.58200 −11.1710
u = −1.47094 + 0.05717I
a = −0.001002 + 0.527267I
b = 0.85114 − 1.28772I
7.38429 − 3.80681I 4.81015 + 9.84440I
u = −1.47094 − 0.05717I
a = −0.001002 − 0.527267I
b = 0.85114 + 1.28772I
7.38429 + 3.80681I 4.81015 − 9.84440I
u = 1.47727 + 0.22147I
a = 0.95975 + 1.47389I
b = 1.119070 − 0.447302I
6.35147 + 9.15877I 6.68737 − 8.90723I
u = 1.47727 − 0.22147I
a = 0.95975 − 1.47389I
b = 1.119070 + 0.447302I
6.35147 − 9.15877I 6.68737 + 8.90723I
u = 0.113555 + 0.417006I
a = 2.64848 + 0.87489I
b = 0.973554 + 0.523239I
−1.25401 − 3.09727I 3.40503 + 7.09735I
u = 0.113555 − 0.417006I
a = 2.64848 − 0.87489I
b = 0.973554 − 0.523239I
−1.25401 + 3.09727I 3.40503 − 7.09735I
u = −1.62613
a = 0.787899
b = −0.213369
12.0623 14.7780
u = 1.67524
a = 0.865780
b = 1.31918
7.20543 4.85320
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.167360 + 0.265304I
a = 0.867629 − 0.271365I
b = −0.836022 − 0.766453I
1.66995 + 2.82115I −3.62017 − 4.11427I
u = 0.167360 − 0.265304I
a = 0.867629 + 0.271365I
b = −0.836022 + 0.766453I
1.66995 − 2.82115I −3.62017 + 4.11427I
u = −1.77280
a = −0.411447
b = −0.711622
6.16034 19.1770
u = −2.05983
a = 0.457495
b = 0.885184
8.61720 0
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
24
+ 7u
23
+ ··· − u − 1)(u
119
− 6u
118
+ ··· − 9u − 1)
c
2
(u
24
− u
23
+ ··· − 9u + 1)(u
119
− 6u
117
+ ··· − 511u − 31)
c
3
(u
24
− 16u
22
+ ··· − 4u − 1)(u
119
+ u
118
+ ··· + 24u − 1)
c
4
(u
24
+ u
23
+ ··· + 10u − 1)
· (u
119
+ 23u
117
+ ··· + 67021094u − 10361027)
c
5
(u
24
− 5u
22
+ ··· + u + 1)(u
119
+ 3u
118
+ ··· + 10287u + 923)
c
6
(u
24
− 9u
22
+ ··· + u + 1)(u
119
− u
118
+ ··· − 3875u + 1543)
c
7
, c
8
(u
24
− 16u
22
+ ··· + 4u − 1)(u
119
+ u
118
+ ··· + 24u − 1)
c
9
(u
24
− 11u
22
+ ··· − 27u + 1)(u
119
− 3u
118
+ ··· − 75u + 25)
c
10
(u
24
− 7u
22
+ ··· + 2u + 1)(u
119
+ 5u
118
+ ··· − 11110u − 1273)
c
11
(u
24
− 9u
22
+ ··· − u + 1)(u
119
− u
118
+ ··· − 3875u + 1543)
c
12
(u
24
− 11u
22
+ ··· + 27u + 1)(u
119
− 3u
118
+ ··· − 75u + 25)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
24
− 11y
23
+ ··· − 17y + 1)(y
119
− 8y
118
+ ··· − 343y −1)
c
2
(y
24
− 7y
23
+ ··· − 11y + 1)(y
119
− 12y
118
+ ··· + 125031y −961)
c
3
, c
7
, c
8
(y
24
− 32y
23
+ ··· + 8y + 1)(y
119
− 129y
118
+ ··· + 2056y −1)
c
4
(y
24
+ 7y
23
+ ··· − 62y + 1)
· (y
119
+ 46y
118
+ ··· − 287139490646178y −107350880494729)
c
5
(y
24
− 10y
23
+ ··· − 37y + 1)
· (y
119
− 35y
118
+ ··· + 57121197y −851929)
c
6
, c
11
(y
24
− 18y
23
+ ··· − 49y + 1)
· (y
119
− 75y
118
+ ··· + 37062009y −2380849)
c
9
, c
12
(y
24
− 22y
23
+ ··· − 557y + 1)(y
119
− 99y
118
+ ··· + 45525y −625)
c
10
(y
24
− 14y
23
+ ··· − 16y + 1)
· (y
119
− 35y
118
+ ··· + 151840368y −1620529)
24
