12n
0770
(K12n
0770
)
A knot diagram
1
Linearized knot diagam
4 7 9 10 12 2 11 1 2 8 5 7
Solving Sequence
7,11 5,8
12 1 9 10 4 2 3 6
c
7
c
11
c
12
c
8
c
10
c
4
c
1
c
2
c
6
c
3
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.64367 × 10
347
u
113
− 1.16814 × 10
348
u
112
+ ··· + 8.26301 × 10
347
b − 1.41159 × 10
349
,
− 1.42691 × 10
349
u
113
+ 8.15610 × 10
349
u
112
+ ··· + 3.47046 × 10
349
a + 1.77529 × 10
350
,
u
114
− 5u
113
+ ··· − 28u + 28i
I
u
2
= h7.56683 × 10
20
u
38
− 7.68268 × 10
21
u
37
+ ··· + 1.46846 × 10
20
b − 2.75750 × 10
21
,
− 1.42755 × 10
20
u
38
+ 2.29096 × 10
21
u
37
+ ··· + 5.87384 × 10
20
a − 8.95365 × 10
21
,
u
39
− 11u
38
+ ··· + 44u − 4i
I
u
3
= hb + 1, a + 1, u − 1i
* 3 irreducible components of dim
C
= 0, with total 154 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
= h1.64 × 10
347
u
113
− 1.17 × 10
348
u
112
+ · · · + 8.26 × 10
347
b − 1.41 ×
10
349
, −1.43 × 10
349
u
113
+ 8.16 × 10
349
u
112
+ · · · + 3.47 × 10
349
a + 1.78 ×
10
350
, u
114
− 5u
113
+ · · · − 28u + 28i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
5
=
0.411157u
113
− 2.35015u
112
+ ··· + 37.1094u − 5.11544
−0.198919u
113
+ 1.41370u
112
+ ··· − 38.8486u + 17.0833
a
8
=
1
u
2
a
12
=
−0.250042u
113
+ 1.26176u
112
+ ··· − 13.9324u − 0.971506
−0.0132989u
113
− 0.184376u
112
+ ··· + 31.7660u − 17.9686
a
1
=
−0.236744u
113
+ 1.44614u
112
+ ··· − 45.6984u + 16.9971
−0.0132989u
113
− 0.184376u
112
+ ··· + 31.7660u − 17.9686
a
9
=
−0.801265u
113
+ 3.88615u
112
+ ··· − 9.13740u − 25.0527
0.354616u
113
− 1.85556u
112
+ ··· + 11.0496u + 4.41535
a
10
=
u
u
3
+ u
a
4
=
0.488225u
113
− 3.03280u
112
+ ··· + 66.2774u − 19.6772
−0.0385091u
113
+ 0.428468u
112
+ ··· − 20.1635u + 10.8463
a
2
=
−0.734453u
113
+ 3.50787u
112
+ ··· + 0.813004u − 21.0445
0.102327u
113
− 0.625191u
112
+ ··· + 8.52878u − 1.63632
a
3
=
−0.836779u
113
+ 4.13306u
112
+ ··· − 7.71577u − 19.4082
0.102327u
113
− 0.625191u
112
+ ··· + 8.52878u − 1.63632
a
6
=
−0.407728u
113
+ 2.54127u
112
+ ··· − 50.8668u + 20.6255
−0.136278u
113
+ 0.563144u
112
+ ··· + 12.2868u − 8.91297
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.09243u
113
− 4.66473u
112
+ ··· − 40.0688u + 38.8157
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
114
− 7u
113
+ ··· − 6u + 1
c
2
, c
6
u
114
+ 2u
113
+ ··· + 40u + 1
c
3
u
114
− u
113
+ ··· + 2622u − 51
c
4
u
114
+ 2u
113
+ ··· + 36042u − 2819
c
5
, c
11
u
114
− 29u
112
+ ··· − 86783u − 21161
c
7
, c
10
u
114
+ 5u
113
+ ··· + 28u + 28
c
8
u
114
− 3u
113
+ ··· − 18432u − 4096
c
9
u
114
− 3u
112
+ ··· − 2209436u − 262349
c
12
u
114
+ 8u
113
+ ··· + 711116424u − 32039577
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
114
− 21y
113
+ ··· − 24y + 1
c
2
, c
6
y
114
+ 80y
113
+ ··· − 214y + 1
c
3
y
114
− 15y
113
+ ··· + 13651086y + 2601
c
4
y
114
+ 10y
113
+ ··· − 1131278350y + 7946761
c
5
, c
11
y
114
− 58y
113
+ ··· − 10990689369y + 447787921
c
7
, c
10
y
114
+ 65y
113
+ ··· − 3920y + 784
c
8
y
114
+ 25y
113
+ ··· + 1644167168y + 16777216
c
9
y
114
− 6y
113
+ ··· − 470658669282y + 68826997801
c
12
y
114
+ 16y
113
+ ··· + 5314413482865162y + 1026534494338929
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.818099 + 0.532162I
a = 0.472412 − 1.199790I
b = 0.422644 + 0.059689I
0.328422 + 0.462677I 0
u = 0.818099 − 0.532162I
a = 0.472412 + 1.199790I
b = 0.422644 − 0.059689I
0.328422 − 0.462677I 0
u = −0.449141 + 0.924619I
a = 0.722724 + 0.463209I
b = 1.132120 + 0.424803I
−3.29175 − 0.83027I 0
u = −0.449141 − 0.924619I
a = 0.722724 − 0.463209I
b = 1.132120 − 0.424803I
−3.29175 + 0.83027I 0
u = 0.728416 + 0.601252I
a = −1.130000 + 0.764887I
b = −1.62485 − 0.52082I
−4.99624 − 2.74266I 0
u = 0.728416 − 0.601252I
a = −1.130000 − 0.764887I
b = −1.62485 + 0.52082I
−4.99624 + 2.74266I 0
u = 0.655193 + 0.841159I
a = 1.193410 − 0.082262I
b = 1.46588 + 0.07377I
1.16863 − 5.87092I 0
u = 0.655193 − 0.841159I
a = 1.193410 + 0.082262I
b = 1.46588 − 0.07377I
1.16863 + 5.87092I 0
u = 0.230146 + 1.049920I
a = −1.21464 − 0.94528I
b = −0.1186690 + 0.0768415I
6.51073 + 0.29692I 0
u = 0.230146 − 1.049920I
a = −1.21464 + 0.94528I
b = −0.1186690 − 0.0768415I
6.51073 − 0.29692I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.317192 + 1.028380I
a = −0.567236 − 1.102330I
b = −2.79481 − 0.02014I
0.40066 + 5.93647I 0
u = −0.317192 − 1.028380I
a = −0.567236 + 1.102330I
b = −2.79481 + 0.02014I
0.40066 − 5.93647I 0
u = −0.398064 + 0.830871I
a = 0.84701 + 1.59525I
b = 1.98160 − 0.64550I
−8.67291 + 1.70726I 0
u = −0.398064 − 0.830871I
a = 0.84701 − 1.59525I
b = 1.98160 + 0.64550I
−8.67291 − 1.70726I 0
u = 1.070220 + 0.165485I
a = 0.699806 − 0.687492I
b = 1.278800 + 0.301934I
−0.84358 + 2.42749I 0
u = 1.070220 − 0.165485I
a = 0.699806 + 0.687492I
b = 1.278800 − 0.301934I
−0.84358 − 2.42749I 0
u = −0.497495 + 0.768200I
a = −1.18960 − 1.20996I
b = −1.43561 − 0.00653I
−1.56140 − 1.49501I 0
u = −0.497495 − 0.768200I
a = −1.18960 + 1.20996I
b = −1.43561 + 0.00653I
−1.56140 + 1.49501I 0
u = −0.411146 + 0.795027I
a = −0.94055 − 1.73146I
b = −1.033310 + 0.482510I
−1.54985 + 5.31929I 0
u = −0.411146 − 0.795027I
a = −0.94055 + 1.73146I
b = −1.033310 − 0.482510I
−1.54985 − 5.31929I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.613156 + 0.940244I
a = −0.390137 + 0.753374I
b = −0.71225 − 1.22658I
−1.73750 − 3.98044I 0
u = 0.613156 − 0.940244I
a = −0.390137 − 0.753374I
b = −0.71225 + 1.22658I
−1.73750 + 3.98044I 0
u = −1.015600 + 0.496700I
a = −0.524971 − 0.785875I
b = −1.381690 + 0.126492I
−2.38932 − 4.78544I 0
u = −1.015600 − 0.496700I
a = −0.524971 + 0.785875I
b = −1.381690 − 0.126492I
−2.38932 + 4.78544I 0
u = −0.509445 + 1.019500I
a = 0.930280 + 0.220948I
b = 1.44465 − 1.35754I
6.81305 + 3.72419I 0
u = −0.509445 − 1.019500I
a = 0.930280 − 0.220948I
b = 1.44465 + 1.35754I
6.81305 − 3.72419I 0
u = 0.508139 + 1.022120I
a = 0.096759 − 0.628882I
b = 1.75389 − 0.59313I
2.43215 − 0.85642I 0
u = 0.508139 − 1.022120I
a = 0.096759 + 0.628882I
b = 1.75389 + 0.59313I
2.43215 + 0.85642I 0
u = 0.026832 + 0.853750I
a = 0.89272 + 1.23952I
b = 1.24405 − 1.09702I
4.10024 + 2.73285I 0
u = 0.026832 − 0.853750I
a = 0.89272 − 1.23952I
b = 1.24405 + 1.09702I
4.10024 − 2.73285I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.064176 + 0.847207I
a = 1.82032 − 0.10024I
b = 0.677672 − 0.180211I
5.43615 − 1.68884I 0
u = 0.064176 − 0.847207I
a = 1.82032 + 0.10024I
b = 0.677672 + 0.180211I
5.43615 + 1.68884I 0
u = −1.124140 + 0.245655I
a = 0.944919 + 0.768627I
b = 1.67979 + 0.10944I
0.82590 − 12.63330I 0
u = −1.124140 − 0.245655I
a = 0.944919 − 0.768627I
b = 1.67979 − 0.10944I
0.82590 + 12.63330I 0
u = −0.354129 + 1.098750I
a = −1.027890 + 0.716351I
b = −0.221868 + 0.530085I
7.89785 + 3.20495I 0
u = −0.354129 − 1.098750I
a = −1.027890 − 0.716351I
b = −0.221868 − 0.530085I
7.89785 − 3.20495I 0
u = −0.804098 + 0.218721I
a = 1.21254 + 1.07019I
b = 1.48395 + 0.18164I
1.89868 − 5.66109I 0
u = −0.804098 − 0.218721I
a = 1.21254 − 1.07019I
b = 1.48395 − 0.18164I
1.89868 + 5.66109I 0
u = 1.119300 + 0.330406I
a = 0.676069 − 0.539140I
b = 1.54937 − 0.29821I
−0.75389 + 1.50754I 0
u = 1.119300 − 0.330406I
a = 0.676069 + 0.539140I
b = 1.54937 + 0.29821I
−0.75389 − 1.50754I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.300428 + 1.127830I
a = 0.585291 − 0.718912I
b = 2.41578 + 2.07339I
5.95235 − 6.78422I 0
u = 0.300428 − 1.127830I
a = 0.585291 + 0.718912I
b = 2.41578 − 2.07339I
5.95235 + 6.78422I 0
u = 0.390646 + 1.122960I
a = 0.606005 + 0.118204I
b = 0.570091 − 0.195779I
1.49134 − 3.17432I 0
u = 0.390646 − 1.122960I
a = 0.606005 − 0.118204I
b = 0.570091 + 0.195779I
1.49134 + 3.17432I 0
u = −0.388435 + 1.127010I
a = 0.510785 + 0.477478I
b = 1.36952 + 0.62979I
−2.21934 + 7.04828I 0
u = −0.388435 − 1.127010I
a = 0.510785 − 0.477478I
b = 1.36952 − 0.62979I
−2.21934 − 7.04828I 0
u = −0.319466 + 1.162990I
a = −0.414309 + 0.895417I
b = 0.554901 + 0.182017I
6.19183 − 2.18835I 0
u = −0.319466 − 1.162990I
a = −0.414309 − 0.895417I
b = 0.554901 − 0.182017I
6.19183 + 2.18835I 0
u = −0.422934 + 1.132040I
a = −0.812763 − 0.756826I
b = −1.69651 + 1.07844I
1.69509 + 3.05583I 0
u = −0.422934 − 1.132040I
a = −0.812763 + 0.756826I
b = −1.69651 − 1.07844I
1.69509 − 3.05583I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.144422 + 1.209230I
a = −0.640187 + 0.323835I
b = 0.194668 + 0.450247I
5.60528 − 3.26259I 0
u = 0.144422 − 1.209230I
a = −0.640187 − 0.323835I
b = 0.194668 − 0.450247I
5.60528 + 3.26259I 0
u = −0.762656 + 0.121584I
a = 0.467482 − 1.252130I
b = 0.968158 − 0.461703I
3.95199 − 6.73660I −8.00000 + 4.18516I
u = −0.762656 − 0.121584I
a = 0.467482 + 1.252130I
b = 0.968158 + 0.461703I
3.95199 + 6.73660I −8.00000 − 4.18516I
u = 0.746246 + 0.180271I
a = 1.63492 + 0.23915I
b = 0.825825 + 1.003370I
0.20643 − 3.77461I −12.9088 + 6.6671I
u = 0.746246 − 0.180271I
a = 1.63492 − 0.23915I
b = 0.825825 − 1.003370I
0.20643 + 3.77461I −12.9088 − 6.6671I
u = −0.027164 + 1.235670I
a = 0.659406 − 0.216017I
b = 0.381894 − 0.068415I
4.44238 − 2.23504I 0
u = −0.027164 − 1.235670I
a = 0.659406 + 0.216017I
b = 0.381894 + 0.068415I
4.44238 + 2.23504I 0
u = −0.486807 + 1.148100I
a = 0.508004 − 0.791461I
b = −0.313740 − 0.154433I
1.19572 + 4.87991I 0
u = −0.486807 − 1.148100I
a = 0.508004 + 0.791461I
b = −0.313740 + 0.154433I
1.19572 − 4.87991I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.412166 + 1.204140I
a = 0.664366 + 0.370073I
b = 1.31885 − 1.62724I
7.72845 − 2.70528I 0
u = −0.412166 − 1.204140I
a = 0.664366 − 0.370073I
b = 1.31885 + 1.62724I
7.72845 + 2.70528I 0
u = −0.252217 + 0.672555I
a = 0.38036 + 1.73063I
b = −0.288411 − 0.976615I
−4.32871 + 4.18887I −9.95246 + 0.64993I
u = −0.252217 − 0.672555I
a = 0.38036 − 1.73063I
b = −0.288411 + 0.976615I
−4.32871 − 4.18887I −9.95246 − 0.64993I
u = 0.074656 + 0.714014I
a = −0.053857 − 0.784389I
b = 3.35157 + 0.00377I
4.01805 + 4.94347I −9.95165 + 1.59105I
u = 0.074656 − 0.714014I
a = −0.053857 + 0.784389I
b = 3.35157 − 0.00377I
4.01805 − 4.94347I −9.95165 − 1.59105I
u = −0.533583 + 1.174750I
a = 0.963414 + 0.718017I
b = 1.98217 − 1.06125I
4.73835 + 10.61460I 0
u = −0.533583 − 1.174750I
a = 0.963414 − 0.718017I
b = 1.98217 + 1.06125I
4.73835 − 10.61460I 0
u = −0.501399 + 1.189370I
a = −0.848477 + 0.714367I
b = −0.071372 + 0.427517I
7.06009 + 11.43460I 0
u = −0.501399 − 1.189370I
a = −0.848477 − 0.714367I
b = −0.071372 − 0.427517I
7.06009 − 11.43460I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.419766 + 0.560122I
a = −0.814503 + 0.355766I
b = −1.97757 + 0.37807I
−3.00105 − 0.43708I −14.2497 + 9.3366I
u = 0.419766 − 0.560122I
a = −0.814503 − 0.355766I
b = −1.97757 − 0.37807I
−3.00105 + 0.43708I −14.2497 − 9.3366I
u = −0.667314 + 0.184012I
a = −1.049230 + 0.478641I
b = −1.220840 + 0.386103I
−1.59570 − 0.46648I −7.02975 + 0.94113I
u = −0.667314 − 0.184012I
a = −1.049230 − 0.478641I
b = −1.220840 − 0.386103I
−1.59570 + 0.46648I −7.02975 − 0.94113I
u = −0.224138 + 0.654690I
a = −0.42225 − 2.02763I
b = −1.49893 + 1.73040I
−0.93724 − 3.32454I −16.2220 − 1.3241I
u = −0.224138 − 0.654690I
a = −0.42225 + 2.02763I
b = −1.49893 − 1.73040I
−0.93724 + 3.32454I −16.2220 + 1.3241I
u = 1.31331
a = −1.05853
b = −1.95512
−7.31209 0
u = 0.412036 + 1.257040I
a = −0.559537 + 0.822517I
b = −1.54749 − 0.72876I
−0.05067 − 6.24881I 0
u = 0.412036 − 1.257040I
a = −0.559537 − 0.822517I
b = −1.54749 + 0.72876I
−0.05067 + 6.24881I 0
u = 0.450732 + 1.259660I
a = 0.982575 − 0.673795I
b = 1.13588 + 0.85386I
4.32959 − 8.09259I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.450732 − 1.259660I
a = 0.982575 + 0.673795I
b = 1.13588 − 0.85386I
4.32959 + 8.09259I 0
u = 0.495342 + 1.272550I
a = −0.394407 − 0.732886I
b = −0.163962 + 0.017897I
3.53932 − 2.69237I 0
u = 0.495342 − 1.272550I
a = −0.394407 + 0.732886I
b = −0.163962 − 0.017897I
3.53932 + 2.69237I 0
u = −0.693279 + 1.184410I
a = −0.848073 − 0.414394I
b = −1.83383 + 1.15568I
−0.18951 + 11.01020I 0
u = −0.693279 − 1.184410I
a = −0.848073 + 0.414394I
b = −1.83383 − 1.15568I
−0.18951 − 11.01020I 0
u = 0.572749 + 1.255650I
a = −0.439345 + 0.498559I
b = −1.323670 − 0.271475I
−1.21325 − 5.53621I 0
u = 0.572749 − 1.255650I
a = −0.439345 − 0.498559I
b = −1.323670 + 0.271475I
−1.21325 + 5.53621I 0
u = 0.68240 + 1.23890I
a = 0.789311 − 0.550734I
b = 1.51174 + 1.39602I
2.09002 − 7.92207I 0
u = 0.68240 − 1.23890I
a = 0.789311 + 0.550734I
b = 1.51174 − 1.39602I
2.09002 + 7.92207I 0
u = 0.23730 + 1.40027I
a = −0.254787 − 0.616168I
b = −0.245891 − 0.867606I
6.56365 − 2.95538I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.23730 − 1.40027I
a = −0.254787 + 0.616168I
b = −0.245891 + 0.867606I
6.56365 + 2.95538I 0
u = 0.26113 + 1.39896I
a = −0.245459 − 0.188955I
b = 0.463497 + 0.134977I
5.31196 − 3.15304I 0
u = 0.26113 − 1.39896I
a = −0.245459 + 0.188955I
b = 0.463497 − 0.134977I
5.31196 + 3.15304I 0
u = −0.64153 + 1.28633I
a = 0.898443 + 0.588880I
b = 2.02201 − 1.09560I
4.0857 + 18.8872I 0
u = −0.64153 − 1.28633I
a = 0.898443 − 0.588880I
b = 2.02201 + 1.09560I
4.0857 − 18.8872I 0
u = −0.520013 + 0.143978I
a = 0.06582 + 1.76449I
b = 0.765073 + 0.527821I
4.68778 + 0.15060I −5.79597 − 0.26333I
u = −0.520013 − 0.143978I
a = 0.06582 − 1.76449I
b = 0.765073 − 0.527821I
4.68778 − 0.15060I −5.79597 + 0.26333I
u = 0.64259 + 1.32039I
a = 0.749564 − 0.391692I
b = 2.02007 + 0.82853I
2.70536 − 8.64259I 0
u = 0.64259 − 1.32039I
a = 0.749564 + 0.391692I
b = 2.02007 − 0.82853I
2.70536 + 8.64259I 0
u = 1.09749 + 1.01545I
a = −0.401996 + 0.350171I
b = −1.91543 − 1.14205I
−4.36006 − 3.95166I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.09749 − 1.01545I
a = −0.401996 − 0.350171I
b = −1.91543 + 1.14205I
−4.36006 + 3.95166I 0
u = 0.434313 + 0.244812I
a = 0.652257 + 0.376947I
b = 0.152384 − 0.206477I
−0.666319 − 0.972878I −8.94902 + 6.80871I
u = 0.434313 − 0.244812I
a = 0.652257 − 0.376947I
b = 0.152384 + 0.206477I
−0.666319 + 0.972878I −8.94902 − 6.80871I
u = 0.70336 + 1.38403I
a = −0.573116 + 0.685767I
b = −1.71911 − 0.87522I
−3.13714 − 7.00519I 0
u = 0.70336 − 1.38403I
a = −0.573116 − 0.685767I
b = −1.71911 + 0.87522I
−3.13714 + 7.00519I 0
u = −0.27367 + 1.53607I
a = −0.242404 + 0.673656I
b = 0.293665 − 0.255664I
6.95303 − 7.40329I 0
u = −0.27367 − 1.53607I
a = −0.242404 − 0.673656I
b = 0.293665 + 0.255664I
6.95303 + 7.40329I 0
u = −0.336521 + 0.270404I
a = 1.69980 + 1.93484I
b = −0.139315 − 0.698839I
−4.75500 − 3.67331I −10.92771 + 7.86915I
u = −0.336521 − 0.270404I
a = 1.69980 − 1.93484I
b = −0.139315 + 0.698839I
−4.75500 + 3.67331I −10.92771 − 7.86915I
u = −0.010019 + 0.414939I
a = −0.31327 − 2.11117I
b = −0.875032 + 0.361032I
−1.060020 + 0.049400I −8.05308 − 0.26941I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.010019 − 0.414939I
a = −0.31327 + 2.11117I
b = −0.875032 − 0.361032I
−1.060020 − 0.049400I −8.05308 + 0.26941I
u = 1.21203 + 1.02939I
a = −0.485913 + 0.344211I
b = −1.49310 − 0.74121I
−4.93462 − 4.23614I 0
u = 1.21203 − 1.02939I
a = −0.485913 − 0.344211I
b = −1.49310 + 0.74121I
−4.93462 + 4.23614I 0
u = 0.171583
a = 4.00280
b = −0.574679
−1.09069 −8.99320
16
II. I
u
2
= h7.57 × 10
20
u
38
− 7.68 × 10
21
u
37
+ · · · + 1.47 × 10
20
b − 2.76 ×
10
21
, −1.43 × 10
20
u
38
+ 2.29 × 10
21
u
37
+ · · · + 5.87 × 10
20
a − 8.95 ×
10
21
, u
39
− 11u
38
+ · · · + 44u − 4i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
5
=
0.243035u
38
− 3.90028u
37
+ ··· − 152.615u + 15.2433
−5.15290u
38
+ 52.3179u
37
+ ··· − 186.952u + 18.7781
a
8
=
1
u
2
a
12
=
7.28405u
38
− 87.1265u
37
+ ··· − 526.958u + 44.6616
−6.00199u
38
+ 58.7214u
37
+ ··· − 280.836u + 30.1362
a
1
=
13.2860u
38
− 145.848u
37
+ ··· − 246.122u + 14.5254
−6.00199u
38
+ 58.7214u
37
+ ··· − 280.836u + 30.1362
a
9
=
5.72685u
38
− 72.5702u
37
+ ··· − 704.647u + 63.3259
1.00070u
38
− 9.30008u
37
+ ··· + 105.204u − 9.50616
a
10
=
u
u
3
+ u
a
4
=
3.19078u
38
− 32.2568u
37
+ ··· + 20.0481u − 2.83610
−3.06468u
38
+ 29.8659u
37
+ ··· − 181.520u + 16.9735
a
2
=
6.24418u
38
− 77.9761u
37
+ ··· − 728.994u + 66.1467
−1.55404u
38
+ 14.3729u
37
+ ··· − 72.0232u + 6.85412
a
3
=
7.79822u
38
− 92.3490u
37
+ ··· − 656.971u + 59.2926
−1.55404u
38
+ 14.3729u
37
+ ··· − 72.0232u + 6.85412
a
6
=
−21.6472u
38
+ 236.993u
37
+ ··· + 328.062u − 17.9437
−3.32720u
38
+ 38.2247u
37
+ ··· + 242.840u − 23.0870
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
8763649133162416713273
293692090476642857770
u
38
+
87323166218638701411371
293692090476642857770
u
37
+ ··· −
27828963714502897014112
146846045238321428885
u +
4082268683703111025446
146846045238321428885
17
(iv) u-Polynomials at the component
18
Crossings u-Polynomials at each crossing
c
1
u
39
− 11u
38
+ ··· + 9u − 1
c
2
u
39
− 2u
38
+ ··· + 3u + 1
c
3
u
39
+ 6u
37
+ ··· + 3u + 1
c
4
u
39
+ 2u
37
+ ··· + 83u + 19
c
5
u
39
− 14u
37
+ ··· − 8u + 1
c
6
u
39
+ 2u
38
+ ··· + 3u − 1
c
7
u
39
− 11u
38
+ ··· + 44u − 4
c
8
u
39
− u
38
+ ··· + 3u + 1
c
9
u
39
+ 8u
37
+ ··· + 15u + 1
c
10
u
39
+ 11u
38
+ ··· + 44u + 4
c
11
u
39
− 14u
37
+ ··· − 8u − 1
c
12
u
39
− 7u
38
+ ··· + 7u − 181
19
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
39
− 15y
38
+ ··· + 11y −1
c
2
, c
6
y
39
+ 14y
38
+ ··· + 17y −1
c
3
y
39
+ 12y
38
+ ··· − 9y −1
c
4
y
39
+ 4y
38
+ ··· + 14185y −361
c
5
, c
11
y
39
− 28y
38
+ ··· + 100y −1
c
7
, c
10
y
39
+ 23y
38
+ ··· + 176y −16
c
8
y
39
+ 7y
38
+ ··· − 25y −1
c
9
y
39
+ 16y
38
+ ··· + 121y −1
c
12
y
39
− 29y
38
+ ··· − 297153y −32761
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.515011 + 0.829523I
a = −0.804959 − 0.694343I
b = −1.52169 − 0.22252I
−4.21118 − 1.11225I −15.5270 + 0.I
u = −0.515011 − 0.829523I
a = −0.804959 + 0.694343I
b = −1.52169 + 0.22252I
−4.21118 + 1.11225I −15.5270 + 0.I
u = 1.044350 + 0.202847I
a = 0.756951 − 0.657087I
b = 1.280600 − 0.113979I
−0.22214 + 2.06984I 0
u = 1.044350 − 0.202847I
a = 0.756951 + 0.657087I
b = 1.280600 + 0.113979I
−0.22214 − 2.06984I 0
u = 0.415189 + 0.831322I
a = 0.84524 − 1.56276I
b = 1.97704 + 0.64409I
−8.71398 − 1.75740I −48.7326 + 49.0797I
u = 0.415189 − 0.831322I
a = 0.84524 + 1.56276I
b = 1.97704 − 0.64409I
−8.71398 + 1.75740I −48.7326 − 49.0797I
u = 0.172473 + 1.068330I
a = −1.236250 − 0.135897I
b = −0.0097803 − 0.0778283I
6.39609 − 2.11504I 0
u = 0.172473 − 1.068330I
a = −1.236250 + 0.135897I
b = −0.0097803 + 0.0778283I
6.39609 + 2.11504I 0
u = 0.123129 + 0.899449I
a = 1.53542 + 0.73033I
b = 0.844336 − 0.017979I
5.69724 + 0.93137I −4.65983 + 1.78092I
u = 0.123129 − 0.899449I
a = 1.53542 − 0.73033I
b = 0.844336 + 0.017979I
5.69724 − 0.93137I −4.65983 − 1.78092I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.387718 + 0.793881I
a = −0.51744 − 1.39965I
b = −0.457171 + 1.119410I
−4.45302 + 4.88333I −12.6386 − 10.1235I
u = −0.387718 − 0.793881I
a = −0.51744 + 1.39965I
b = −0.457171 − 1.119410I
−4.45302 − 4.88333I −12.6386 + 10.1235I
u = 0.299931 + 1.134250I
a = −0.591092 + 1.076820I
b = −1.93154 − 0.41735I
1.22869 − 5.42296I 0
u = 0.299931 − 1.134250I
a = −0.591092 − 1.076820I
b = −1.93154 + 0.41735I
1.22869 + 5.42296I 0
u = −0.427287 + 1.126120I
a = −0.488938 − 0.655788I
b = −1.70278 − 0.41205I
−2.94570 + 6.98107I 0
u = −0.427287 − 1.126120I
a = −0.488938 + 0.655788I
b = −1.70278 + 0.41205I
−2.94570 − 6.98107I 0
u = 0.133876 + 0.756473I
a = −0.20166 + 1.98208I
b = −1.44214 − 1.22409I
−0.46045 + 3.57548I −2.13853 − 5.20343I
u = 0.133876 − 0.756473I
a = −0.20166 − 1.98208I
b = −1.44214 + 1.22409I
−0.46045 − 3.57548I −2.13853 + 5.20343I
u = −0.121391 + 0.758185I
a = 0.646322 + 0.702329I
b = 3.23259 − 0.52965I
4.19183 + 5.46817I −5.07202 − 11.53280I
u = −0.121391 − 0.758185I
a = 0.646322 − 0.702329I
b = 3.23259 + 0.52965I
4.19183 − 5.46817I −5.07202 + 11.53280I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.457321 + 1.168370I
a = 0.347428 + 0.454509I
b = −0.002662 − 0.370620I
0.25942 − 3.96182I 0
u = 0.457321 − 1.168370I
a = 0.347428 − 0.454509I
b = −0.002662 + 0.370620I
0.25942 + 3.96182I 0
u = 0.010913 + 1.280680I
a = −0.176927 + 0.387156I
b = 1.57782 + 0.29139I
6.43520 − 4.94781I 0
u = 0.010913 − 1.280680I
a = −0.176927 − 0.387156I
b = 1.57782 − 0.29139I
6.43520 + 4.94781I 0
u = −0.526527 + 0.476851I
a = −1.03257 − 1.26362I
b = −0.571038 + 1.000240I
−5.09014 − 3.09291I −16.5732 − 2.0562I
u = −0.526527 − 0.476851I
a = −1.03257 + 1.26362I
b = −0.571038 − 1.000240I
−5.09014 + 3.09291I −16.5732 + 2.0562I
u = 1.35312
a = −1.00405
b = −1.97033
−7.49260 0
u = 0.563012 + 1.256880I
a = 0.815626 − 0.537286I
b = 1.63878 + 1.02985I
3.14790 − 7.77494I 0
u = 0.563012 − 1.256880I
a = 0.815626 + 0.537286I
b = 1.63878 − 1.02985I
3.14790 + 7.77494I 0
u = 0.28855 + 1.41409I
a = −0.263789 − 0.450792I
b = 0.090552 − 0.217636I
5.31260 − 2.58553I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.28855 − 1.41409I
a = −0.263789 + 0.450792I
b = 0.090552 + 0.217636I
5.31260 + 2.58553I 0
u = 1.11230 + 0.96225I
a = −0.610758 + 0.516977I
b = −1.75378 − 0.67321I
−5.81835 − 3.97474I 0
u = 1.11230 − 0.96225I
a = −0.610758 − 0.516977I
b = −1.75378 + 0.67321I
−5.81835 + 3.97474I 0
u = 1.11805 + 1.03159I
a = −0.379258 + 0.328138I
b = −1.67354 − 1.08382I
−4.14609 − 4.00373I 0
u = 1.11805 − 1.03159I
a = −0.379258 − 0.328138I
b = −1.67354 + 1.08382I
−4.14609 + 4.00373I 0
u = 0.462896
a = 0.256252
b = −1.19562
−2.74275 −13.1350
u = 0.72941 + 1.40467I
a = −0.542656 + 0.658948I
b = −1.68924 − 0.90207I
−3.26982 − 7.21782I 0
u = 0.72941 − 1.40467I
a = −0.542656 − 0.658948I
b = −1.68924 + 0.90207I
−3.26982 + 7.21782I 0
u = 0.202830
a = 1.54641
b = −1.60676
−2.75978 −8.57070
25
III. I
u
3
= hb + 1, a + 1, u − 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
1
a
5
=
−1
−1
a
8
=
1
1
a
12
=
−1
0
a
1
=
−1
0
a
9
=
0
1
a
10
=
1
2
a
4
=
0
1
a
2
=
−1
−1
a
3
=
0
−1
a
6
=
0
−1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −18
26
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
, c
8
c
9
, c
10
u + 1
c
2
, c
4
, c
5
c
6
, c
11
u − 1
c
3
, c
12
u
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
c
5
, c
6
, c
7
c
8
, c
9
, c
10
c
11
y −1
c
3
, c
12
y
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = −1.00000
b = −1.00000
−4.93480 −18.0000
29
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u + 1)(u
39
− 11u
38
+ ··· + 9u − 1)(u
114
− 7u
113
+ ··· − 6u + 1)
c
2
(u − 1)(u
39
− 2u
38
+ ··· + 3u + 1)(u
114
+ 2u
113
+ ··· + 40u + 1)
c
3
u(u
39
+ 6u
37
+ ··· + 3u + 1)(u
114
− u
113
+ ··· + 2622u − 51)
c
4
(u − 1)(u
39
+ 2u
37
+ ··· + 83u + 19)
· (u
114
+ 2u
113
+ ··· + 36042u − 2819)
c
5
(u − 1)(u
39
− 14u
37
+ ··· − 8u + 1)
· (u
114
− 29u
112
+ ··· − 86783u − 21161)
c
6
(u − 1)(u
39
+ 2u
38
+ ··· + 3u − 1)(u
114
+ 2u
113
+ ··· + 40u + 1)
c
7
(u + 1)(u
39
− 11u
38
+ ··· + 44u − 4)(u
114
+ 5u
113
+ ··· + 28u + 28)
c
8
(u + 1)(u
39
− u
38
+ ··· + 3u + 1)(u
114
− 3u
113
+ ··· − 18432u − 4096)
c
9
(u + 1)(u
39
+ 8u
37
+ ··· + 15u + 1)
· (u
114
− 3u
112
+ ··· − 2209436u − 262349)
c
10
(u + 1)(u
39
+ 11u
38
+ ··· + 44u + 4)(u
114
+ 5u
113
+ ··· + 28u + 28)
c
11
(u − 1)(u
39
− 14u
37
+ ··· − 8u − 1)
· (u
114
− 29u
112
+ ··· − 86783u − 21161)
c
12
u(u
39
− 7u
38
+ ··· + 7u − 181)
· (u
114
+ 8u
113
+ ··· + 711116424u − 32039577)
30
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y −1)(y
39
− 15y
38
+ ··· + 11y −1)(y
114
− 21y
113
+ ··· − 24y + 1)
c
2
, c
6
(y −1)(y
39
+ 14y
38
+ ··· + 17y −1)(y
114
+ 80y
113
+ ··· − 214y + 1)
c
3
y(y
39
+ 12y
38
+ ··· − 9y −1)
· (y
114
− 15y
113
+ ··· + 13651086y + 2601)
c
4
(y −1)(y
39
+ 4y
38
+ ··· + 14185y −361)
· (y
114
+ 10y
113
+ ··· − 1131278350y + 7946761)
c
5
, c
11
(y −1)(y
39
− 28y
38
+ ··· + 100y −1)
· (y
114
− 58y
113
+ ··· − 10990689369y + 447787921)
c
7
, c
10
(y −1)(y
39
+ 23y
38
+ ··· + 176y −16)
· (y
114
+ 65y
113
+ ··· − 3920y + 784)
c
8
(y −1)(y
39
+ 7y
38
+ ··· − 25y −1)
· (y
114
+ 25y
113
+ ··· + 1644167168y + 16777216)
c
9
(y −1)(y
39
+ 16y
38
+ ··· + 121y −1)
· (y
114
− 6y
113
+ ··· − 470658669282y + 68826997801)
c
12
y(y
39
− 29y
38
+ ··· − 297153y −32761)
· (y
114
+ 16y
113
+ ··· + 5314413482865162y + 1026534494338929)
31
