12a
0777
(K12a
0777
)
A knot diagram
1
Linearized knot diagam
3 8 10 12 1 11 2 6 4 7 9 5
Solving Sequence
2,7
8 3
1,11
6 9 5 10 4 12
c
7
c
2
c
1
c
6
c
8
c
5
c
10
c
3
c
12
c
4
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h8.31484 × 10
237
u
117
− 3.93039 × 10
237
u
116
+ ··· + 1.72854 × 10
239
b + 2.06492 × 10
240
,
6.89267 × 10
239
u
117
− 1.82120 × 10
240
u
116
+ ··· + 1.01984 × 10
241
a + 1.75868 × 10
242
,
u
118
− u
117
+ ··· + 167u − 59i
I
u
2
= h106243u
29
+ 47719u
28
+ ··· + 20891b − 107527,
− 48402u
29
− 89702u
28
+ ··· + 20891a + 137421, u
30
− 8u
28
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 148 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
= h8.31 × 10
237
u
117
− 3.93 × 10
237
u
116
+ · · · + 1.73 × 10
239
b + 2.06 ×
10
240
, 6.89 × 10
239
u
117
− 1.82 × 10
240
u
116
+ · · · + 1.02 × 10
241
a + 1.76 ×
10
242
, u
118
− u
117
+ · · · + 167u − 59i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
−0.0675860u
117
+ 0.178577u
116
+ ··· − 2.71344u − 17.2448
−0.0481033u
117
+ 0.0227382u
116
+ ··· + 4.60746u − 11.9460
a
6
=
1.35041u
117
− 0.254370u
116
+ ··· − 160.672u + 105.956
0.468192u
117
− 0.0130686u
116
+ ··· − 88.1432u + 45.9964
a
9
=
−0.301176u
117
+ 0.0594844u
116
+ ··· + 29.6650u − 1.93634
0.133068u
117
− 0.0786827u
116
+ ··· − 11.8488u + 17.9718
a
5
=
1.18359u
117
− 0.271232u
116
+ ··· − 124.787u + 85.1168
0.193309u
117
+ 0.0423118u
116
+ ··· − 47.5214u + 20.4555
a
10
=
−0.0194826u
117
+ 0.155839u
116
+ ··· − 7.32090u − 5.29873
−0.0481033u
117
+ 0.0227382u
116
+ ··· + 4.60746u − 11.9460
a
4
=
0.991454u
117
− 0.0984787u
116
+ ··· − 165.840u + 97.9375
0.654324u
117
− 0.180806u
116
+ ··· − 78.3906u + 51.7689
a
12
=
−1.16560u
117
+ 0.469100u
116
+ ··· + 122.223u − 87.0159
−0.559715u
117
+ 0.139939u
116
+ ··· + 69.8418u − 42.6384
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.159031u
117
+ 0.176866u
116
+ ··· − 8.92642u − 11.8415
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
118
+ 59u
117
+ ··· + 64351u + 3481
c
2
, c
7
u
118
+ u
117
+ ··· − 167u − 59
c
3
, c
9
u
118
+ u
117
+ ··· − 681405u − 118739
c
4
, c
5
, c
12
u
118
+ 3u
117
+ ··· + 30u − 1
c
6
, c
10
u
118
− 2u
117
+ ··· + 46028u + 3241
c
8
u
118
− 9u
117
+ ··· − 6352773u + 341129
c
11
u
118
− 6u
117
+ ··· − 1478146065u + 117887275
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
118
+ 13y
117
+ ··· + 257101793y + 12117361
c
2
, c
7
y
118
− 59y
117
+ ··· − 64351y + 3481
c
3
, c
9
y
118
+ 105y
117
+ ··· + 500751984721y + 14098950121
c
4
, c
5
, c
12
y
118
− 125y
117
+ ··· − 110y + 1
c
6
, c
10
y
118
+ 80y
117
+ ··· + 87494132y + 10504081
c
8
y
118
− 35y
117
+ ··· − 4220593276107y + 116368994641
c
11
y
118
− 60y
117
+ ··· − 655020952466922525y + 13897409606925625
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.178023 + 0.973643I
a = 0.323995 − 0.685624I
b = −0.563611 − 0.705908I
−4.73958 + 2.23006I 0
u = −0.178023 − 0.973643I
a = 0.323995 + 0.685624I
b = −0.563611 + 0.705908I
−4.73958 − 2.23006I 0
u = 0.858025 + 0.485772I
a = 0.645004 + 0.736781I
b = −0.906752 + 0.645911I
−0.61747 − 4.47528I 0
u = 0.858025 − 0.485772I
a = 0.645004 − 0.736781I
b = −0.906752 − 0.645911I
−0.61747 + 4.47528I 0
u = −0.977446 + 0.274662I
a = −0.05383 − 2.67293I
b = 0.06116 − 1.44574I
−7.87809 + 0.99703I 0
u = −0.977446 − 0.274662I
a = −0.05383 + 2.67293I
b = 0.06116 + 1.44574I
−7.87809 − 0.99703I 0
u = −0.334365 + 0.923343I
a = −0.213558 − 0.256070I
b = 0.52407 − 1.32106I
−4.34744 − 7.95136I 0
u = −0.334365 − 0.923343I
a = −0.213558 + 0.256070I
b = 0.52407 + 1.32106I
−4.34744 + 7.95136I 0
u = −0.962975 + 0.338096I
a = −0.893396 − 0.162256I
b = 0.293659 − 0.422056I
−3.27326 + 3.33430I 0
u = −0.962975 − 0.338096I
a = −0.893396 + 0.162256I
b = 0.293659 + 0.422056I
−3.27326 − 3.33430I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.020340 + 0.225366I
a = −1.70751 − 0.45340I
b = 0.119139 + 0.496067I
−10.75740 − 4.49700I 0
u = 1.020340 − 0.225366I
a = −1.70751 + 0.45340I
b = 0.119139 − 0.496067I
−10.75740 + 4.49700I 0
u = 0.195857 + 1.026490I
a = 0.300728 − 0.521516I
b = −0.000667 − 0.926385I
−3.20690 − 0.20894I 0
u = 0.195857 − 1.026490I
a = 0.300728 + 0.521516I
b = −0.000667 + 0.926385I
−3.20690 + 0.20894I 0
u = 0.285625 + 1.007520I
a = −0.269949 + 0.465828I
b = 0.53299 + 1.32359I
−11.2076 + 11.9652I 0
u = 0.285625 − 1.007520I
a = −0.269949 − 0.465828I
b = 0.53299 − 1.32359I
−11.2076 − 11.9652I 0
u = 0.516576 + 0.788684I
a = 0.221479 + 0.107724I
b = 0.032787 − 1.051840I
−3.49244 + 0.29145I 0
u = 0.516576 − 0.788684I
a = 0.221479 − 0.107724I
b = 0.032787 + 1.051840I
−3.49244 − 0.29145I 0
u = 1.033500 + 0.229710I
a = 1.17745 + 3.29186I
b = 0.127765 + 1.060230I
−10.73850 + 3.13540I 0
u = 1.033500 − 0.229710I
a = 1.17745 − 3.29186I
b = 0.127765 − 1.060230I
−10.73850 − 3.13540I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.683401 + 0.822336I
a = 0.629727 − 1.005500I
b = −0.437187 − 0.953141I
−4.86789 + 2.12575I 0
u = −0.683401 − 0.822336I
a = 0.629727 + 1.005500I
b = −0.437187 + 0.953141I
−4.86789 − 2.12575I 0
u = −1.017520 + 0.341721I
a = 1.34641 − 2.28434I
b = 0.037618 − 1.069500I
−3.51249 − 1.10895I 0
u = −1.017520 − 0.341721I
a = 1.34641 + 2.28434I
b = 0.037618 + 1.069500I
−3.51249 + 1.10895I 0
u = 0.516963 + 0.762482I
a = 0.365457 + 0.019237I
b = −0.632025 − 0.008821I
−2.46513 + 1.44951I 0
u = 0.516963 − 0.762482I
a = 0.365457 − 0.019237I
b = −0.632025 + 0.008821I
−2.46513 − 1.44951I 0
u = 0.772499 + 0.483784I
a = 0.612327 − 0.823187I
b = 0.769941 + 0.423078I
−0.346230 + 0.449095I 0
u = 0.772499 − 0.483784I
a = 0.612327 + 0.823187I
b = 0.769941 − 0.423078I
−0.346230 − 0.449095I 0
u = −0.921937 + 0.582429I
a = 0.168922 + 0.707460I
b = 0.706492 − 0.108001I
1.55846 + 3.67318I 0
u = −0.921937 − 0.582429I
a = 0.168922 − 0.707460I
b = 0.706492 + 0.108001I
1.55846 − 3.67318I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.682462 + 0.590348I
a = 0.500722 − 0.345322I
b = −0.687773 − 0.324268I
2.26273 + 0.98072I 0
u = −0.682462 − 0.590348I
a = 0.500722 + 0.345322I
b = −0.687773 + 0.324268I
2.26273 − 0.98072I 0
u = −0.783078 + 0.781095I
a = 0.182632 − 0.707430I
b = 0.477682 − 0.623977I
−5.18250 + 3.74930I 0
u = −0.783078 − 0.781095I
a = 0.182632 + 0.707430I
b = 0.477682 + 0.623977I
−5.18250 − 3.74930I 0
u = 1.105550 + 0.136685I
a = −0.75559 − 2.55426I
b = 0.453269 − 1.065720I
−11.00080 − 3.66295I 0
u = 1.105550 − 0.136685I
a = −0.75559 + 2.55426I
b = 0.453269 + 1.065720I
−11.00080 + 3.66295I 0
u = −1.044770 + 0.410002I
a = −1.03614 + 2.25742I
b = 0.500058 + 1.205840I
−3.04416 + 4.43321I 0
u = −1.044770 − 0.410002I
a = −1.03614 − 2.25742I
b = 0.500058 − 1.205840I
−3.04416 − 4.43321I 0
u = 1.046510 + 0.406654I
a = 0.14045 + 2.64046I
b = 0.11316 + 1.43195I
−13.72640 − 0.70682I 0
u = 1.046510 − 0.406654I
a = 0.14045 − 2.64046I
b = 0.11316 − 1.43195I
−13.72640 + 0.70682I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.12638
a = 0.597049
b = 0.628683
−8.09514 0
u = −0.387746 + 0.777565I
a = 0.367209 + 1.019680I
b = −0.376282 + 1.217240I
−6.08246 − 5.28057I −8.52140 + 3.93120I
u = −0.387746 − 0.777565I
a = 0.367209 − 1.019680I
b = −0.376282 − 1.217240I
−6.08246 + 5.28057I −8.52140 − 3.93120I
u = −1.056530 + 0.408404I
a = −0.545376 − 0.667481I
b = −1.319180 + 0.422276I
−3.34059 + 0.27536I 0
u = −1.056530 − 0.408404I
a = −0.545376 + 0.667481I
b = −1.319180 − 0.422276I
−3.34059 − 0.27536I 0
u = −1.109520 + 0.247784I
a = −0.85672 + 1.88600I
b = −0.30845 + 1.61094I
−9.03534 + 0.12549I 0
u = −1.109520 − 0.247784I
a = −0.85672 − 1.88600I
b = −0.30845 − 1.61094I
−9.03534 − 0.12549I 0
u = 0.349797 + 0.781053I
a = −0.238359 − 0.149902I
b = 0.524766 + 1.308620I
−4.47590 + 2.52001I −8.18694 + 0.I
u = 0.349797 − 0.781053I
a = −0.238359 + 0.149902I
b = 0.524766 − 1.308620I
−4.47590 − 2.52001I −8.18694 + 0.I
u = 1.127950 + 0.268186I
a = −0.319133 + 0.655761I
b = −0.960863 − 0.392426I
−11.74120 + 3.46348I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.127950 − 0.268186I
a = −0.319133 − 0.655761I
b = −0.960863 + 0.392426I
−11.74120 − 3.46348I 0
u = −0.306616 + 0.777888I
a = −0.613844 + 0.634447I
b = 1.035640 + 0.073019I
−7.28352 − 6.36734I −6.65058 + 3.35165I
u = −0.306616 − 0.777888I
a = −0.613844 − 0.634447I
b = 1.035640 − 0.073019I
−7.28352 + 6.36734I −6.65058 − 3.35165I
u = −1.060040 + 0.503533I
a = −2.47074 + 1.06236I
b = 0.163291 + 1.156170I
−13.0243 + 5.9687I 0
u = −1.060040 − 0.503533I
a = −2.47074 − 1.06236I
b = 0.163291 − 1.156170I
−13.0243 − 5.9687I 0
u = 1.050910 + 0.544899I
a = 0.130736 + 0.232548I
b = 0.573356 + 0.387424I
−1.80922 − 2.79462I 0
u = 1.050910 − 0.544899I
a = 0.130736 − 0.232548I
b = 0.573356 − 0.387424I
−1.80922 + 2.79462I 0
u = 1.079790 + 0.492167I
a = 0.89635 + 1.73010I
b = −0.062843 + 1.122220I
−2.37397 − 2.44443I 0
u = 1.079790 − 0.492167I
a = 0.89635 − 1.73010I
b = −0.062843 − 1.122220I
−2.37397 + 2.44443I 0
u = 1.117770 + 0.401032I
a = −0.90109 − 1.54732I
b = −0.51351 − 1.59748I
−14.9836 − 4.7022I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.117770 − 0.401032I
a = −0.90109 + 1.54732I
b = −0.51351 + 1.59748I
−14.9836 + 4.7022I 0
u = 1.083800 + 0.499911I
a = −0.428422 + 0.818144I
b = −1.377470 − 0.127783I
−2.63884 − 6.66081I 0
u = 1.083800 − 0.499911I
a = −0.428422 − 0.818144I
b = −1.377470 + 0.127783I
−2.63884 + 6.66081I 0
u = 1.080440 + 0.533316I
a = −1.23116 − 2.18359I
b = 0.397623 − 1.272460I
−2.11626 − 7.86153I 0
u = 1.080440 − 0.533316I
a = −1.23116 + 2.18359I
b = 0.397623 + 1.272460I
−2.11626 + 7.86153I 0
u = −1.121440 + 0.490165I
a = 1.32588 − 1.60023I
b = −0.72581 − 1.29593I
−14.3467 + 2.9330I 0
u = −1.121440 − 0.490165I
a = 1.32588 + 1.60023I
b = −0.72581 + 1.29593I
−14.3467 − 2.9330I 0
u = 1.046050 + 0.640979I
a = −0.015346 − 0.736205I
b = 0.610846 − 0.051055I
−4.01044 − 6.74740I 0
u = 1.046050 − 0.640979I
a = −0.015346 + 0.736205I
b = 0.610846 + 0.051055I
−4.01044 + 6.74740I 0
u = −0.712689 + 0.297795I
a = −0.014630 + 0.262433I
b = −0.730960 + 0.954226I
−1.68046 − 1.40688I −11.00348 − 2.62391I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.712689 − 0.297795I
a = −0.014630 − 0.262433I
b = −0.730960 − 0.954226I
−1.68046 + 1.40688I −11.00348 + 2.62391I
u = −0.839473 + 0.922669I
a = −0.427168 + 0.292586I
b = 0.101516 + 1.009490I
−1.30136 + 3.30492I 0
u = −0.839473 − 0.922669I
a = −0.427168 − 0.292586I
b = 0.101516 − 1.009490I
−1.30136 − 3.30492I 0
u = 0.406047 + 0.633223I
a = 0.578774 + 0.677626I
b = −0.445359 + 0.800196I
−0.01158 − 1.88300I −1.20387 + 0.87169I
u = 0.406047 − 0.633223I
a = 0.578774 − 0.677626I
b = −0.445359 − 0.800196I
−0.01158 + 1.88300I −1.20387 − 0.87169I
u = 1.098930 + 0.598897I
a = −1.50104 − 1.08502I
b = 0.223133 − 1.104810I
−5.35382 − 5.59150I 0
u = 1.098930 − 0.598897I
a = −1.50104 + 1.08502I
b = 0.223133 + 1.104810I
−5.35382 + 5.59150I 0
u = −1.114350 + 0.581759I
a = −1.35294 + 2.26125I
b = 0.336429 + 1.311220I
−8.24734 + 10.39700I 0
u = −1.114350 − 0.581759I
a = −1.35294 − 2.26125I
b = 0.336429 − 1.311220I
−8.24734 − 10.39700I 0
u = 1.132610 + 0.572739I
a = 1.19290 + 1.68143I
b = −0.68957 + 1.42006I
−6.80804 − 7.61396I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.132610 − 0.572739I
a = 1.19290 − 1.68143I
b = −0.68957 − 1.42006I
−6.80804 + 7.61396I 0
u = −1.140710 + 0.559008I
a = −0.354045 − 0.741934I
b = −1.254600 + 0.035759I
−9.7508 + 11.3811I 0
u = −1.140710 − 0.559008I
a = −0.354045 + 0.741934I
b = −1.254600 − 0.035759I
−9.7508 − 11.3811I 0
u = 0.385608 + 0.618131I
a = 0.298234 − 0.777613I
b = −0.436190 − 1.097760I
−0.10394 + 3.29854I −1.79450 − 5.17385I
u = 0.385608 − 0.618131I
a = 0.298234 + 0.777613I
b = −0.436190 + 1.097760I
−0.10394 − 3.29854I −1.79450 + 5.17385I
u = −0.690251 + 0.227427I
a = −0.87744 + 2.33691I
b = 0.872943 + 0.718797I
−1.72906 + 2.63877I −13.82343 − 2.18968I
u = −0.690251 − 0.227427I
a = −0.87744 − 2.33691I
b = 0.872943 − 0.718797I
−1.72906 − 2.63877I −13.82343 + 2.18968I
u = 0.017975 + 0.711425I
a = 0.452630 + 0.606275I
b = −0.325421 + 0.761472I
0.10731 − 1.61150I 1.41032 + 3.85488I
u = 0.017975 − 0.711425I
a = 0.452630 − 0.606275I
b = −0.325421 − 0.761472I
0.10731 + 1.61150I 1.41032 − 3.85488I
u = 1.301050 + 0.150757I
a = −0.50507 − 1.81285I
b = −0.28034 − 1.41076I
−10.05760 + 4.50172I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.301050 − 0.150757I
a = −0.50507 + 1.81285I
b = −0.28034 + 1.41076I
−10.05760 − 4.50172I 0
u = −1.180670 + 0.579970I
a = 0.344722 − 0.264207I
b = 0.687240 − 0.388832I
−7.68860 + 3.24050I 0
u = −1.180670 − 0.579970I
a = 0.344722 + 0.264207I
b = 0.687240 + 0.388832I
−7.68860 − 3.24050I 0
u = 0.682235
a = 0.828571
b = 0.255539
−1.12500 −8.21280
u = −1.178750 + 0.614598I
a = 1.12473 − 1.74607I
b = −0.61954 − 1.42393I
−6.9196 + 13.5581I 0
u = −1.178750 − 0.614598I
a = 1.12473 + 1.74607I
b = −0.61954 + 1.42393I
−6.9196 − 13.5581I 0
u = 0.653056 + 0.141685I
a = −0.41230 + 3.45189I
b = 0.11253 + 1.49848I
−12.00690 − 2.18947I −9.94665 + 2.73137I
u = 0.653056 − 0.141685I
a = −0.41230 − 3.45189I
b = 0.11253 − 1.49848I
−12.00690 + 2.18947I −9.94665 − 2.73137I
u = 0.418073 + 0.487947I
a = 0.327616 + 1.223970I
b = 0.310750 + 0.469602I
−0.35938 − 1.60606I −3.69880 + 2.56928I
u = 0.418073 − 0.487947I
a = 0.327616 − 1.223970I
b = 0.310750 − 0.469602I
−0.35938 + 1.60606I −3.69880 − 2.56928I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.440468 + 0.462537I
a = 1.38465 − 1.39841I
b = 0.066294 + 1.144090I
−11.18430 − 1.82403I −11.31344 + 0.36404I
u = −0.440468 − 0.462537I
a = 1.38465 + 1.39841I
b = 0.066294 − 1.144090I
−11.18430 + 1.82403I −11.31344 − 0.36404I
u = −1.261000 + 0.543057I
a = 0.51934 − 1.63544I
b = −0.071791 − 1.185640I
−7.37913 + 5.55156I 0
u = −1.261000 − 0.543057I
a = 0.51934 + 1.63544I
b = −0.071791 + 1.185640I
−7.37913 − 5.55156I 0
u = 0.341157 + 0.525059I
a = −1.03969 − 1.17880I
b = 0.994163 − 0.140132I
−0.51879 + 2.42569I −4.77231 − 4.53792I
u = 0.341157 − 0.525059I
a = −1.03969 + 1.17880I
b = 0.994163 + 0.140132I
−0.51879 − 2.42569I −4.77231 + 4.53792I
u = 1.225500 + 0.625754I
a = 1.08651 + 1.82088I
b = −0.59341 + 1.40685I
−14.0989 − 17.8329I 0
u = 1.225500 − 0.625754I
a = 1.08651 − 1.82088I
b = −0.59341 − 1.40685I
−14.0989 + 17.8329I 0
u = −1.278080 + 0.560518I
a = −0.76585 + 1.57542I
b = 0.384163 + 1.049870I
−3.70057 + 6.57295I 0
u = −1.278080 − 0.560518I
a = −0.76585 − 1.57542I
b = 0.384163 − 1.049870I
−3.70057 − 6.57295I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.189107 + 0.573115I
a = −1.17392 + 0.80780I
b = 0.452719 − 1.285350I
−11.77820 + 1.33142I −10.61965 − 0.69795I
u = −0.189107 − 0.573115I
a = −1.17392 − 0.80780I
b = 0.452719 + 1.285350I
−11.77820 − 1.33142I −10.61965 + 0.69795I
u = −1.42108 + 0.22220I
a = −0.47818 + 1.66036I
b = −0.349624 + 1.341230I
−17.0778 − 7.6301I 0
u = −1.42108 − 0.22220I
a = −0.47818 − 1.66036I
b = −0.349624 − 1.341230I
−17.0778 + 7.6301I 0
u = 1.14121 + 0.88655I
a = −0.613104 − 0.752813I
b = 0.168279 − 0.965067I
−5.67132 − 6.44916I 0
u = 1.14121 − 0.88655I
a = −0.613104 + 0.752813I
b = 0.168279 + 0.965067I
−5.67132 + 6.44916I 0
u = 1.38741 + 0.52922I
a = −0.49625 − 1.65686I
b = 0.461666 − 1.027590I
−9.53007 − 7.61144I 0
u = 1.38741 − 0.52922I
a = −0.49625 + 1.65686I
b = 0.461666 + 1.027590I
−9.53007 + 7.61144I 0
16
II. I
u
2
= h106243u
29
+ 47719u
28
+ · · · + 20891b − 107527, −4.84 × 10
4
u
29
−
8.97 × 10
4
u
28
+ · · · + 2.09 × 10
4
a + 1.37 × 10
5
, u
30
− 8u
28
+ · · · + u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
2.31688u
29
+ 4.29381u
28
+ ··· − 14.9805u − 6.57800
−5.08559u
29
− 2.28419u
28
+ ··· + 9.01044u + 5.14705
a
6
=
−10.3712u
29
+ 6.67847u
28
+ ··· + 23.0285u + 2.28208
0.109329u
29
+ 3.23551u
28
+ ··· − 1.72921u − 5.69791
a
9
=
1.32923u
29
+ 9.18381u
28
+ ··· − 38.9350u − 28.2032
−1.22225u
29
+ 3.42143u
28
+ ··· + 6.42195u − 0.980566
a
5
=
−10.3706u
29
+ 3.97568u
28
+ ··· + 24.9143u + 6.46230
1.26753u
29
+ 1.17524u
28
+ ··· − 4.92188u − 4.31200
a
10
=
7.40247u
29
+ 6.57800u
28
+ ··· − 23.9909u − 11.7250
−5.08559u
29
− 2.28419u
28
+ ··· + 9.01044u + 5.14705
a
4
=
13.8724u
29
− 2.86334u
28
+ ··· − 31.1366u − 4.53913
0.422000u
29
− 2.31688u
28
+ ··· + 13.1275u + 7.40247
a
12
=
−18.5441u
29
+ 5.65990u
28
+ ··· + 33.6323u + 0.800536
−3.41123u
29
+ 4.63956u
28
+ ··· − 10.0181u − 8.27332
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
451679
20891
u
29
−
198831
20891
u
28
+ ··· +
425617
20891
u +
25926
20891
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
30
− 16u
29
+ ··· − 15u + 1
c
2
u
30
− 8u
28
+ ··· − u + 1
c
3
u
30
+ 16u
28
+ ··· − u + 1
c
4
, c
5
u
30
− 2u
29
+ ··· − 2u + 1
c
6
u
30
− u
29
+ ··· + 2u + 1
c
7
u
30
− 8u
28
+ ··· + u + 1
c
8
u
30
+ 2u
29
+ ··· + 5u + 1
c
9
u
30
+ 16u
28
+ ··· + u + 1
c
10
u
30
+ u
29
+ ··· − 2u + 1
c
11
u
30
+ 11u
29
+ ··· + 11u + 1
c
12
u
30
+ 2u
29
+ ··· + 2u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
30
+ 8y
29
+ ··· + 37y + 1
c
2
, c
7
y
30
− 16y
29
+ ··· − 15y + 1
c
3
, c
9
y
30
+ 32y
29
+ ··· + 29y + 1
c
4
, c
5
, c
12
y
30
− 34y
29
+ ··· − 6y + 1
c
6
, c
10
y
30
+ 19y
29
+ ··· + 16y + 1
c
8
y
30
− 4y
29
+ ··· + 9y + 1
c
11
y
30
− 5y
29
+ ··· − 13y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.935657 + 0.277734I
a = 0.18128 + 2.57261I
b = 0.07703 + 1.51268I
−7.55937 − 1.14774I −1.15287 + 8.27084I
u = 0.935657 − 0.277734I
a = 0.18128 − 2.57261I
b = 0.07703 − 1.51268I
−7.55937 + 1.14774I −1.15287 − 8.27084I
u = −0.999223 + 0.280360I
a = −0.45009 − 1.47966I
b = 0.235315 − 1.355000I
−13.22280 + 3.13616I −14.4247 − 3.5409I
u = −0.999223 − 0.280360I
a = −0.45009 + 1.47966I
b = 0.235315 + 1.355000I
−13.22280 − 3.13616I −14.4247 + 3.5409I
u = −0.889266 + 0.239105I
a = 0.69646 − 3.70735I
b = −0.12854 − 1.43419I
−12.75610 − 0.99580I −14.6758 − 0.8292I
u = −0.889266 − 0.239105I
a = 0.69646 + 3.70735I
b = −0.12854 + 1.43419I
−12.75610 + 0.99580I −14.6758 + 0.8292I
u = 0.781210 + 0.752083I
a = 0.098937 + 0.825516I
b = −0.156925 + 0.545499I
−0.02802 − 2.90859I −0.94107 + 6.85739I
u = 0.781210 − 0.752083I
a = 0.098937 − 0.825516I
b = −0.156925 − 0.545499I
−0.02802 + 2.90859I −0.94107 − 6.85739I
u = −0.998743 + 0.485559I
a = −0.452037 + 0.670486I
b = 0.941641 + 0.288308I
−2.13620 + 4.96967I −9.26455 − 6.24860I
u = −0.998743 − 0.485559I
a = −0.452037 − 0.670486I
b = 0.941641 − 0.288308I
−2.13620 − 4.96967I −9.26455 + 6.24860I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.008800 + 0.467665I
a = 0.477004 − 0.051132I
b = 0.997919 + 0.666568I
−2.21787 − 0.94421I −8.03923 + 2.06472I
u = 1.008800 − 0.467665I
a = 0.477004 + 0.051132I
b = 0.997919 − 0.666568I
−2.21787 + 0.94421I −8.03923 − 2.06472I
u = −0.240510 + 1.096620I
a = 0.125072 − 0.618007I
b = −0.270914 − 0.880946I
−2.77232 + 1.21915I −3.48531 − 5.17568I
u = −0.240510 − 1.096620I
a = 0.125072 + 0.618007I
b = −0.270914 + 0.880946I
−2.77232 − 1.21915I −3.48531 + 5.17568I
u = −0.699566 + 0.453828I
a = −0.18781 − 1.49760I
b = −0.676486 + 0.247446I
−1.07938 − 1.05485I −8.36742 + 1.33883I
u = −0.699566 − 0.453828I
a = −0.18781 + 1.49760I
b = −0.676486 − 0.247446I
−1.07938 + 1.05485I −8.36742 − 1.33883I
u = 1.120860 + 0.385715I
a = −1.84260 − 1.68283I
b = 0.347382 − 0.844833I
−11.14400 − 5.76201I −12.5670 + 7.0903I
u = 1.120860 − 0.385715I
a = −1.84260 + 1.68283I
b = 0.347382 + 0.844833I
−11.14400 + 5.76201I −12.5670 − 7.0903I
u = 0.726664 + 0.252393I
a = 0.36174 + 2.66704I
b = −0.314845 − 0.667987I
−9.50295 + 3.08048I −6.01479 − 1.21393I
u = 0.726664 − 0.252393I
a = 0.36174 − 2.66704I
b = −0.314845 + 0.667987I
−9.50295 − 3.08048I −6.01479 + 1.21393I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.613249 + 0.396539I
a = 0.92700 + 1.57300I
b = −0.784037 + 0.812321I
−0.91175 − 2.81566I −4.67420 + 4.13005I
u = 0.613249 − 0.396539I
a = 0.92700 − 1.57300I
b = −0.784037 − 0.812321I
−0.91175 + 2.81566I −4.67420 − 4.13005I
u = −1.181850 + 0.525577I
a = −1.03717 + 1.61957I
b = 0.419859 + 1.077930I
−3.89698 + 5.98314I −10.63531 − 3.01585I
u = −1.181850 − 0.525577I
a = −1.03717 − 1.61957I
b = 0.419859 − 1.077930I
−3.89698 − 5.98314I −10.63531 + 3.01585I
u = −1.113620 + 0.821105I
a = 0.182578 − 0.708726I
b = 0.078004 − 0.709017I
−5.13336 + 5.49870I −6.92736 − 3.03355I
u = −1.113620 − 0.821105I
a = 0.182578 + 0.708726I
b = 0.078004 + 0.709017I
−5.13336 − 5.49870I −6.92736 + 3.03355I
u = 1.30309 + 0.62762I
a = −0.72406 − 1.57317I
b = 0.267826 − 1.157830I
−7.16185 − 7.12351I −11.55116 + 7.92646I
u = 1.30309 − 0.62762I
a = −0.72406 + 1.57317I
b = 0.267826 + 1.157830I
−7.16185 + 7.12351I −11.55116 − 7.92646I
u = −0.366749 + 0.334200I
a = 0.643715 − 0.562218I
b = −0.533224 + 0.848835I
−1.07879 − 2.00024I −4.77925 + 4.65171I
u = −0.366749 − 0.334200I
a = 0.643715 + 0.562218I
b = −0.533224 − 0.848835I
−1.07879 + 2.00024I −4.77925 − 4.65171I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
30
− 16u
29
+ ··· − 15u + 1)(u
118
+ 59u
117
+ ··· + 64351u + 3481)
c
2
(u
30
− 8u
28
+ ··· − u + 1)(u
118
+ u
117
+ ··· − 167u − 59)
c
3
(u
30
+ 16u
28
+ ··· − u + 1)(u
118
+ u
117
+ ··· − 681405u − 118739)
c
4
, c
5
(u
30
− 2u
29
+ ··· − 2u + 1)(u
118
+ 3u
117
+ ··· + 30u − 1)
c
6
(u
30
− u
29
+ ··· + 2u + 1)(u
118
− 2u
117
+ ··· + 46028u + 3241)
c
7
(u
30
− 8u
28
+ ··· + u + 1)(u
118
+ u
117
+ ··· − 167u − 59)
c
8
(u
30
+ 2u
29
+ ··· + 5u + 1)(u
118
− 9u
117
+ ··· − 6352773u + 341129)
c
9
(u
30
+ 16u
28
+ ··· + u + 1)(u
118
+ u
117
+ ··· − 681405u − 118739)
c
10
(u
30
+ u
29
+ ··· − 2u + 1)(u
118
− 2u
117
+ ··· + 46028u + 3241)
c
11
(u
30
+ 11u
29
+ ··· + 11u + 1)
· (u
118
− 6u
117
+ ··· − 1478146065u + 117887275)
c
12
(u
30
+ 2u
29
+ ··· + 2u + 1)(u
118
+ 3u
117
+ ··· + 30u − 1)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
30
+ 8y
29
+ ··· + 37y + 1)
· (y
118
+ 13y
117
+ ··· + 257101793y + 12117361)
c
2
, c
7
(y
30
− 16y
29
+ ··· − 15y + 1)(y
118
− 59y
117
+ ··· − 64351y + 3481)
c
3
, c
9
(y
30
+ 32y
29
+ ··· + 29y + 1)
· (y
118
+ 105y
117
+ ··· + 500751984721y + 14098950121)
c
4
, c
5
, c
12
(y
30
− 34y
29
+ ··· − 6y + 1)(y
118
− 125y
117
+ ··· − 110y + 1)
c
6
, c
10
(y
30
+ 19y
29
+ ··· + 16y + 1)
· (y
118
+ 80y
117
+ ··· + 87494132y + 10504081)
c
8
(y
30
− 4y
29
+ ··· + 9y + 1)
· (y
118
− 35y
117
+ ··· − 4220593276107y + 116368994641)
c
11
(y
30
− 5y
29
+ ··· − 13y + 1)
· (y
118
− 60y
117
+ ··· − 655020952466922525y + 13897409606925625)
24
