11a
114
(K11a
114
)
A knot diagram
1
Linearized knot diagam
5 1 7 10 2 11 3 6 4 9 8
Solving Sequence
1,5
2 3
6,8
9 7 11 10 4
c
1
c
2
c
5
c
8
c
7
c
11
c
10
c
4
c
3
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.17956 × 10
143
u
89
− 2.07764 × 10
143
u
88
+ ··· + 4.99667 × 10
143
b − 9.30374 × 10
144
,
3.79072 × 10
144
u
89
+ 1.75627 × 10
145
u
88
+ ··· + 9.49368 × 10
144
a + 8.40941 × 10
146
,
u
90
− 2u
89
+ ··· − 27u − 19i
I
u
2
= hu
13
− 3u
11
+ 6u
9
− u
8
− 7u
7
+ u
6
+ 5u
5
− u
4
− 2u
3
+ b + 2u,
5u
14
+ 3u
13
− 15u
12
− 7u
11
+ 35u
10
+ 11u
9
− 48u
8
− 11u
7
+ 46u
6
+ 5u
5
− 30u
4
− 4u
3
+ 17u
2
+ a + 2u − 4,
u
15
+ u
14
− 3u
13
− 3u
12
+ 7u
11
+ 6u
10
− 10u
9
− 8u
8
+ 10u
7
+ 7u
6
− 7u
5
− 5u
4
+ 4u
3
+ 3u
2
− u − 1i
* 2 irreducible components of dim
C
= 0, with total 105 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
= h−4.18 × 10
143
u
89
− 2.08 × 10
143
u
88
+ · · · + 5.00 × 10
143
b − 9.30 ×
10
144
, 3.79 × 10
144
u
89
+ 1.76 × 10
145
u
88
+ · · · + 9.49 × 10
144
a + 8.41 ×
10
146
, u
90
− 2u
89
+ · · · − 27u − 19i
(i) Arc colorings
a
1
=
1
0
a
5
=
0
u
a
2
=
1
u
2
a
3
=
−u
2
+ 1
u
2
a
6
=
−u
−u
3
+ u
a
8
=
−0.399289u
89
− 1.84994u
88
+ ··· − 7.29052u − 88.5790
0.836469u
89
+ 0.415805u
88
+ ··· + 4.57551u + 18.6199
a
9
=
0.448249u
89
− 2.43674u
88
+ ··· − 17.3037u − 79.2582
1.12539u
89
− 0.745407u
88
+ ··· + 60.6152u + 30.3562
a
7
=
−0.293951u
89
− 1.08523u
88
+ ··· − 26.8622u − 77.8477
0.974855u
89
+ 0.138613u
88
+ ··· + 35.5301u + 37.1441
a
11
=
1.15515u
89
− 3.50727u
88
+ ··· + 2.25961u − 59.7862
0.319935u
89
− 1.61002u
88
+ ··· + 46.5135u + 4.38365
a
10
=
1.82489u
89
− 2.48029u
88
+ ··· + 64.3706u + 4.28799
−1.71061u
89
− 1.12630u
88
+ ··· + 89.5560u + 27.6819
a
4
=
−1.07864u
89
+ 1.63188u
88
+ ··· + 7.78149u + 61.1802
1.34253u
89
− 1.08046u
88
+ ··· − 0.725013u − 7.91859
a
4
=
−1.07864u
89
+ 1.63188u
88
+ ··· + 7.78149u + 61.1802
1.34253u
89
− 1.08046u
88
+ ··· − 0.725013u − 7.91859
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.323377u
89
− 3.05080u
88
+ ··· + 135.617u − 107.451
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
90
+ 2u
89
+ ··· + 27u − 19
c
2
u
90
+ 36u
89
+ ··· + 11673u + 361
c
3
, c
7
u
90
+ u
89
+ ··· + 270u − 9
c
4
, c
9
u
90
+ u
89
+ ··· − 5u
2
+ 1
c
6
u
90
+ 2u
89
+ ··· + 33u − 1
c
8
u
90
− 14u
89
+ ··· − 9u + 1
c
10
u
90
− 41u
89
+ ··· − 10u + 1
c
11
u
90
− 8u
89
+ ··· + 8205u − 1673
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
90
− 36y
89
+ ··· − 11673y + 361
c
2
y
90
+ 44y
89
+ ··· − 4387073y + 130321
c
3
, c
7
y
90
+ 67y
89
+ ··· − 85896y + 81
c
4
, c
9
y
90
− 41y
89
+ ··· − 10y + 1
c
6
y
90
+ 4y
89
+ ··· − 89y + 1
c
8
y
90
− 4y
89
+ ··· + 7y + 1
c
10
y
90
+ 23y
89
+ ··· − 198y + 1
c
11
y
90
+ 20y
89
+ ··· + 12841443y + 2798929
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.872945 + 0.501934I
a = −0.353599 + 1.137060I
b = 1.94991 + 0.34028I
−1.65776 + 2.02775I 0
u = −0.872945 − 0.501934I
a = −0.353599 − 1.137060I
b = 1.94991 − 0.34028I
−1.65776 − 2.02775I 0
u = 0.887662 + 0.444502I
a = 0.35902 − 2.01369I
b = 0.894026 + 1.049230I
−1.87083 − 2.34624I 0
u = 0.887662 − 0.444502I
a = 0.35902 + 2.01369I
b = 0.894026 − 1.049230I
−1.87083 + 2.34624I 0
u = −0.736112 + 0.693083I
a = 0.602880 + 1.051170I
b = −0.351565 − 0.763113I
3.42582 + 0.72145I 0
u = −0.736112 − 0.693083I
a = 0.602880 − 1.051170I
b = −0.351565 + 0.763113I
3.42582 − 0.72145I 0
u = 0.610400 + 0.816519I
a = 1.10218 − 1.06449I
b = −0.82176 + 1.50141I
8.88297 + 2.76328I 0
u = 0.610400 − 0.816519I
a = 1.10218 + 1.06449I
b = −0.82176 − 1.50141I
8.88297 − 2.76328I 0
u = 0.851253 + 0.574688I
a = 0.238775 + 1.278400I
b = 0.388781 − 1.039950I
5.10240 − 3.43208I 0
u = 0.851253 − 0.574688I
a = 0.238775 − 1.278400I
b = 0.388781 + 1.039950I
5.10240 + 3.43208I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.701758 + 0.763935I
a = 0.087700 + 0.920133I
b = −0.305002 − 0.900231I
3.66503 + 0.99650I 0
u = −0.701758 − 0.763935I
a = 0.087700 − 0.920133I
b = −0.305002 + 0.900231I
3.66503 − 0.99650I 0
u = 0.857462 + 0.584959I
a = 1.76238 − 0.77479I
b = 0.495062 + 0.649066I
5.07632 − 1.17400I 0
u = 0.857462 − 0.584959I
a = 1.76238 + 0.77479I
b = 0.495062 − 0.649066I
5.07632 + 1.17400I 0
u = 0.774750 + 0.567973I
a = −0.19680 + 1.83254I
b = −1.87636 − 0.42388I
2.30569 + 3.30607I 0
u = 0.774750 − 0.567973I
a = −0.19680 − 1.83254I
b = −1.87636 + 0.42388I
2.30569 − 3.30607I 0
u = −0.496582 + 0.913249I
a = −0.88468 − 1.12826I
b = 0.73357 + 1.33284I
3.23883 − 5.87656I 0
u = −0.496582 − 0.913249I
a = −0.88468 + 1.12826I
b = 0.73357 − 1.33284I
3.23883 + 5.87656I 0
u = 1.006990 + 0.383697I
a = −0.990900 + 0.589869I
b = −0.128969 − 0.889913I
−1.94313 − 0.77906I 0
u = 1.006990 − 0.383697I
a = −0.990900 − 0.589869I
b = −0.128969 + 0.889913I
−1.94313 + 0.77906I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.621493 + 0.885684I
a = 0.069658 + 0.683614I
b = −0.226329 − 0.871694I
3.75525 + 1.11582I 0
u = −0.621493 − 0.885684I
a = 0.069658 − 0.683614I
b = −0.226329 + 0.871694I
3.75525 − 1.11582I 0
u = 0.805011 + 0.723930I
a = 0.000178 + 1.241640I
b = 0.402112 − 0.956324I
5.11520 + 2.40414I 0
u = 0.805011 − 0.723930I
a = 0.000178 − 1.241640I
b = 0.402112 + 0.956324I
5.11520 − 2.40414I 0
u = −0.913503 + 0.079203I
a = −0.501241 + 1.245300I
b = −0.705898 + 0.492074I
2.89768 + 2.60574I 0
u = −0.913503 − 0.079203I
a = −0.501241 − 1.245300I
b = −0.705898 − 0.492074I
2.89768 − 2.60574I 0
u = 0.915800
a = −0.955871
b = −0.493066
−1.55660 −5.00000
u = 0.918511 + 0.576128I
a = 1.006050 + 0.579665I
b = −1.93814 + 0.98297I
1.83988 − 7.87904I 0
u = 0.918511 − 0.576128I
a = 1.006050 − 0.579665I
b = −1.93814 − 0.98297I
1.83988 + 7.87904I 0
u = −1.066380 + 0.198905I
a = 0.370881 + 0.038702I
b = 1.102150 + 0.474228I
−4.90537 + 0.82863I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.066380 − 0.198905I
a = 0.370881 − 0.038702I
b = 1.102150 − 0.474228I
−4.90537 − 0.82863I 0
u = 0.533194 + 0.973241I
a = 0.853278 − 1.053140I
b = −0.79058 + 1.29478I
5.57367 + 11.40460I 0
u = 0.533194 − 0.973241I
a = 0.853278 + 1.053140I
b = −0.79058 − 1.29478I
5.57367 − 11.40460I 0
u = −0.829414 + 0.315657I
a = −0.76244 − 2.14466I
b = −0.76353 + 1.45828I
0.23371 − 3.50455I 0
u = −0.829414 − 0.315657I
a = −0.76244 + 2.14466I
b = −0.76353 − 1.45828I
0.23371 + 3.50455I 0
u = 0.259644 + 1.086570I
a = −0.003044 + 0.482911I
b = 0.081154 − 0.850794I
6.46351 + 1.09920I 0
u = 0.259644 − 1.086570I
a = −0.003044 − 0.482911I
b = 0.081154 + 0.850794I
6.46351 − 1.09920I 0
u = 1.075840 + 0.314619I
a = −0.932582 − 0.563589I
b = 0.862432 − 0.970765I
−2.59949 − 0.41889I 0
u = 1.075840 − 0.314619I
a = −0.932582 + 0.563589I
b = 0.862432 + 0.970765I
−2.59949 + 0.41889I 0
u = −0.750139 + 0.431514I
a = −0.458402 + 1.189240I
b = −0.336805 − 1.096300I
4.12746 − 0.06763I −5.00000 + 0.I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.750139 − 0.431514I
a = −0.458402 − 1.189240I
b = −0.336805 + 1.096300I
4.12746 + 0.06763I −5.00000 + 0.I
u = 1.130920 + 0.112054I
a = −0.435009 − 0.151586I
b = −0.968053 + 0.539467I
−4.06860 + 3.93905I 0
u = 1.130920 − 0.112054I
a = −0.435009 + 0.151586I
b = −0.968053 − 0.539467I
−4.06860 − 3.93905I 0
u = 0.906289 + 0.696953I
a = 1.34768 − 1.32182I
b = 0.497588 + 0.734318I
4.80179 − 7.83323I 0
u = 0.906289 − 0.696953I
a = 1.34768 + 1.32182I
b = 0.497588 − 0.734318I
4.80179 + 7.83323I 0
u = −0.893897 + 0.720474I
a = −0.347044 − 1.362470I
b = −0.675805 + 0.773415I
2.92181 + 4.66361I 0
u = −0.893897 − 0.720474I
a = −0.347044 + 1.362470I
b = −0.675805 − 0.773415I
2.92181 − 4.66361I 0
u = −0.481220 + 0.674909I
a = 0.86086 + 1.65314I
b = −0.518390 − 0.630908I
0.76902 − 5.82157I −2.53875 + 6.05910I
u = −0.481220 − 0.674909I
a = 0.86086 − 1.65314I
b = −0.518390 + 0.630908I
0.76902 + 5.82157I −2.53875 − 6.05910I
u = 1.022490 + 0.579602I
a = 0.53864 − 1.78720I
b = 0.648451 + 0.951250I
−2.49493 − 5.56780I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.022490 − 0.579602I
a = 0.53864 + 1.78720I
b = 0.648451 − 0.951250I
−2.49493 + 5.56780I 0
u = −1.063110 + 0.501451I
a = 1.41649 + 0.97024I
b = 0.32696 − 1.69396I
−1.39911 + 6.64640I 0
u = −1.063110 − 0.501451I
a = 1.41649 − 0.97024I
b = 0.32696 + 1.69396I
−1.39911 − 6.64640I 0
u = −0.988063 + 0.637660I
a = −1.028120 − 0.832488I
b = −0.568669 + 0.693404I
2.64990 + 4.39254I 0
u = −0.988063 − 0.637660I
a = −1.028120 + 0.832488I
b = −0.568669 − 0.693404I
2.64990 − 4.39254I 0
u = −0.965090 + 0.711279I
a = −0.65456 − 1.29507I
b = −0.612386 + 0.775291I
2.85757 + 4.68949I 0
u = −0.965090 − 0.711279I
a = −0.65456 + 1.29507I
b = −0.612386 − 0.775291I
2.85757 − 4.68949I 0
u = −1.051130 + 0.615181I
a = −0.59658 − 1.78715I
b = −0.610037 + 0.942966I
−0.84298 + 10.85530I 0
u = −1.051130 − 0.615181I
a = −0.59658 + 1.78715I
b = −0.610037 − 0.942966I
−0.84298 − 10.85530I 0
u = −1.108590 + 0.519036I
a = 0.828820 + 0.255791I
b = −0.373453 − 0.967630I
−0.97957 + 6.41665I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.108590 − 0.519036I
a = 0.828820 − 0.255791I
b = −0.373453 + 0.967630I
−0.97957 − 6.41665I 0
u = 1.042590 + 0.678364I
a = −0.90823 + 1.70348I
b = −1.16671 − 1.52341I
7.56245 − 8.36995I 0
u = 1.042590 − 0.678364I
a = −0.90823 − 1.70348I
b = −1.16671 + 1.52341I
7.56245 + 8.36995I 0
u = 0.511180 + 0.540860I
a = −1.20005 + 1.47804I
b = 0.442537 − 0.546796I
−1.049170 + 0.940254I −5.85900 − 0.91173I
u = 0.511180 − 0.540860I
a = −1.20005 − 1.47804I
b = 0.442537 + 0.546796I
−1.049170 − 0.940254I −5.85900 + 0.91173I
u = 0.604167 + 1.106380I
a = −0.100891 + 0.538097I
b = 0.180036 − 0.809574I
5.46758 − 5.10647I 0
u = 0.604167 − 1.106380I
a = −0.100891 − 0.538097I
b = 0.180036 + 0.809574I
5.46758 + 5.10647I 0
u = 1.290880 + 0.017382I
a = 0.001498 + 0.322257I
b = 0.673182 + 0.657722I
−3.41690 − 3.45588I 0
u = 1.290880 − 0.017382I
a = 0.001498 − 0.322257I
b = 0.673182 − 0.657722I
−3.41690 + 3.45588I 0
u = −1.120970 + 0.682813I
a = 0.82993 + 1.50396I
b = 1.01291 − 1.41116I
1.33548 + 11.74020I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.120970 − 0.682813I
a = 0.82993 − 1.50396I
b = 1.01291 + 1.41116I
1.33548 − 11.74020I 0
u = −0.252884 + 0.636800I
a = 0.284561 − 1.279830I
b = −0.415785 + 0.664226I
1.41320 − 1.94621I −1.171123 + 0.365453I
u = −0.252884 − 0.636800I
a = 0.284561 + 1.279830I
b = −0.415785 − 0.664226I
1.41320 + 1.94621I −1.171123 − 0.365453I
u = −1.175540 + 0.613005I
a = −0.578558 − 0.462128I
b = −0.626877 + 0.659712I
2.36889 + 4.01001I 0
u = −1.175540 − 0.613005I
a = −0.578558 + 0.462128I
b = −0.626877 − 0.659712I
2.36889 − 4.01001I 0
u = −0.673276
a = 1.45304
b = 1.15007
−2.44265 5.78450
u = 1.132490 + 0.716490I
a = −0.75460 + 1.51586I
b = −1.03749 − 1.35553I
3.7143 − 17.5584I 0
u = 1.132490 − 0.716490I
a = −0.75460 − 1.51586I
b = −1.03749 + 1.35553I
3.7143 + 17.5584I 0
u = −0.159736 + 0.621015I
a = −0.54578 − 1.72285I
b = 0.239393 + 1.220240I
0.95414 − 2.52910I −4.18110 + 4.25651I
u = −0.159736 − 0.621015I
a = −0.54578 + 1.72285I
b = 0.239393 − 1.220240I
0.95414 + 2.52910I −4.18110 − 4.25651I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.357650 + 0.103776I
a = −0.085523 + 0.189079I
b = −0.654061 + 0.644799I
−1.88843 + 8.89005I 0
u = −1.357650 − 0.103776I
a = −0.085523 − 0.189079I
b = −0.654061 − 0.644799I
−1.88843 − 8.89005I 0
u = 1.086130 + 0.855697I
a = 0.309575 − 0.840911I
b = 0.661642 + 0.704385I
4.01609 − 1.84932I 0
u = 1.086130 − 0.855697I
a = 0.309575 + 0.840911I
b = 0.661642 − 0.704385I
4.01609 + 1.84932I 0
u = 1.23220 + 0.75716I
a = 0.358134 − 0.593413I
b = 0.652919 + 0.671752I
3.62558 − 7.71305I 0
u = 1.23220 − 0.75716I
a = 0.358134 + 0.593413I
b = 0.652919 − 0.671752I
3.62558 + 7.71305I 0
u = −0.487743 + 0.067756I
a = 1.95227 − 2.90255I
b = −0.532467 − 0.106806I
0.95866 + 5.19089I −4.80266 − 8.80627I
u = −0.487743 − 0.067756I
a = 1.95227 + 2.90255I
b = −0.532467 + 0.106806I
0.95866 − 5.19089I −4.80266 + 8.80627I
u = 0.432620 + 0.130550I
a = −2.05874 − 1.01406I
b = 0.431798 − 0.038610I
−1.159460 − 0.621456I −7.48432 + 3.19985I
u = 0.432620 − 0.130550I
a = −2.05874 + 1.01406I
b = 0.431798 + 0.038610I
−1.159460 + 0.621456I −7.48432 − 3.19985I
13
II.
I
u
2
= hu
13
−3u
11
+· · ·+b +2u, 5u
14
+3u
13
+· · ·+a −4, u
15
+u
14
+· · ·−u −1i
(i) Arc colorings
a
1
=
1
0
a
5
=
0
u
a
2
=
1
u
2
a
3
=
−u
2
+ 1
u
2
a
6
=
−u
−u
3
+ u
a
8
=
−5u
14
− 3u
13
+ ··· − 2u + 4
−u
13
+ 3u
11
− 6u
9
+ u
8
+ 7u
7
− u
6
− 5u
5
+ u
4
+ 2u
3
− 2u
a
9
=
−4u
14
− 2u
13
+ ··· − 13u
2
+ 3
−u
14
− 2u
13
+ ··· − 3u + 1
a
7
=
−4u
14
− 2u
13
+ ··· − u + 3
−u
13
+ 3u
11
− 6u
9
+ u
8
+ 7u
7
− u
6
− 5u
5
+ u
4
+ u
3
− u
a
11
=
4u
14
− 15u
12
+ ··· − u − 7
−2u
14
+ 6u
12
− 13u
10
+ 2u
9
+ 16u
8
− 2u
7
− 13u
6
+ 3u
5
+ 6u
4
− 4u
2
a
10
=
−2u
14
− 2u
13
+ ··· − 2u + 2
−u
13
+ 3u
11
− 7u
9
+ 9u
7
+ u
6
− 8u
5
− 2u
4
+ 4u
3
+ 2u
2
− 2u − 1
a
4
=
u
14
− u
13
+ ··· − 3u + 1
u
14
− 4u
12
+ 9u
10
− u
9
− 13u
8
+ 2u
7
+ 12u
6
− 2u
5
− 6u
4
+ u
3
+ 3u
2
− 1
a
4
=
u
14
− u
13
+ ··· − 3u + 1
u
14
− 4u
12
+ 9u
10
− u
9
− 13u
8
+ 2u
7
+ 12u
6
− 2u
5
− 6u
4
+ u
3
+ 3u
2
− 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −13u
14
− 7u
13
+ 34u
12
+ 17u
11
− 72u
10
− 25u
9
+ 83u
8
+ 29u
7
−
62u
6
− 17u
5
+ 26u
4
+ 16u
3
− 16u
2
− 12u − 7
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
15
+ u
14
+ ··· − u − 1
c
2
u
15
+ 7u
14
+ ··· + 7u + 1
c
3
u
15
+ 8u
13
+ ··· + 2u − 1
c
4
u
15
− 4u
13
+ ··· + 2u − 1
c
5
u
15
− u
14
+ ··· − u + 1
c
6
u
15
+ u
14
+ ··· − u − 1
c
7
u
15
+ 8u
13
+ ··· + 2u + 1
c
8
u
15
− u
14
− u
13
+ 2u
12
− 2u
7
− u
6
+ 2u
5
+ u
4
+ u
3
+ 3u
2
+ 3u + 1
c
9
u
15
− 4u
13
+ ··· + 2u + 1
c
10
u
15
− 8u
14
+ ··· + 12u − 1
c
11
u
15
− u
14
+ ··· − u + 1
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
15
− 7y
14
+ ··· + 7y −1
c
2
y
15
+ 9y
14
+ ··· − 5y −1
c
3
, c
7
y
15
+ 16y
14
+ ··· − 10y −1
c
4
, c
9
y
15
− 8y
14
+ ··· + 12y −1
c
6
y
15
+ y
14
+ ··· + 3y −1
c
8
y
15
− 3y
14
+ ··· + 3y −1
c
10
y
15
+ 4y
14
+ ··· + 40y −1
c
11
y
15
− 3y
14
+ ··· − y −1
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.967423 + 0.260583I
a = 0.627804 + 1.056130I
b = −1.319340 + 0.362799I
−2.91424 − 1.01446I −13.8448 + 3.4634I
u = 0.967423 − 0.260583I
a = 0.627804 − 1.056130I
b = −1.319340 − 0.362799I
−2.91424 + 1.01446I −13.8448 − 3.4634I
u = 0.621778 + 0.693973I
a = 0.397335 + 0.291212I
b = 0.413369 − 0.750070I
5.16227 + 0.77044I 1.44992 − 1.15350I
u = 0.621778 − 0.693973I
a = 0.397335 − 0.291212I
b = 0.413369 + 0.750070I
5.16227 − 0.77044I 1.44992 + 1.15350I
u = −1.098490 + 0.430040I
a = −1.301070 + 0.027752I
b = 0.572756 + 1.038920I
−0.61146 + 7.14320I −2.82030 − 10.67450I
u = −1.098490 − 0.430040I
a = −1.301070 − 0.027752I
b = 0.572756 − 1.038920I
−0.61146 − 7.14320I −2.82030 + 10.67450I
u = −0.559053 + 0.594149I
a = −0.845016 + 1.074360I
b = −0.103563 − 0.865167I
4.82955 + 1.88334I 1.73721 − 3.17108I
u = −0.559053 − 0.594149I
a = −0.845016 − 1.074360I
b = −0.103563 + 0.865167I
4.82955 − 1.88334I 1.73721 + 3.17108I
u = 0.788679
a = −1.39709
b = −1.03110
−2.80604 −17.9130
u = −0.710332 + 0.307022I
a = 0.56513 + 2.82017I
b = 1.154600 − 0.699829I
0.95927 − 4.03991I −4.51618 + 5.27989I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.710332 − 0.307022I
a = 0.56513 − 2.82017I
b = 1.154600 + 0.699829I
0.95927 + 4.03991I −4.51618 − 5.27989I
u = 0.973617 + 0.762418I
a = 0.410416 − 0.772043I
b = 0.766000 + 0.319664I
4.06880 − 6.48347I −0.28338 + 5.98406I
u = 0.973617 − 0.762418I
a = 0.410416 + 0.772043I
b = 0.766000 − 0.319664I
4.06880 + 6.48347I −0.28338 − 5.98406I
u = −1.089280 + 0.727181I
a = −0.656055 − 0.669590I
b = −0.468272 + 0.554069I
3.06831 + 3.47948I 0.734192 − 0.835862I
u = −1.089280 − 0.727181I
a = −0.656055 + 0.669590I
b = −0.468272 − 0.554069I
3.06831 − 3.47948I 0.734192 + 0.835862I
18
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
15
+ u
14
+ ··· − u − 1)(u
90
+ 2u
89
+ ··· + 27u − 19)
c
2
(u
15
+ 7u
14
+ ··· + 7u + 1)(u
90
+ 36u
89
+ ··· + 11673u + 361)
c
3
(u
15
+ 8u
13
+ ··· + 2u − 1)(u
90
+ u
89
+ ··· + 270u − 9)
c
4
(u
15
− 4u
13
+ ··· + 2u − 1)(u
90
+ u
89
+ ··· − 5u
2
+ 1)
c
5
(u
15
− u
14
+ ··· − u + 1)(u
90
+ 2u
89
+ ··· + 27u − 19)
c
6
(u
15
+ u
14
+ ··· − u − 1)(u
90
+ 2u
89
+ ··· + 33u − 1)
c
7
(u
15
+ 8u
13
+ ··· + 2u + 1)(u
90
+ u
89
+ ··· + 270u − 9)
c
8
(u
15
− u
14
− u
13
+ 2u
12
− 2u
7
− u
6
+ 2u
5
+ u
4
+ u
3
+ 3u
2
+ 3u + 1)
· (u
90
− 14u
89
+ ··· − 9u + 1)
c
9
(u
15
− 4u
13
+ ··· + 2u + 1)(u
90
+ u
89
+ ··· − 5u
2
+ 1)
c
10
(u
15
− 8u
14
+ ··· + 12u − 1)(u
90
− 41u
89
+ ··· − 10u + 1)
c
11
(u
15
− u
14
+ ··· − u + 1)(u
90
− 8u
89
+ ··· + 8205u − 1673)
19
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
15
− 7y
14
+ ··· + 7y −1)(y
90
− 36y
89
+ ··· − 11673y + 361)
c
2
(y
15
+ 9y
14
+ ··· − 5y −1)(y
90
+ 44y
89
+ ··· − 4387073y + 130321)
c
3
, c
7
(y
15
+ 16y
14
+ ··· − 10y −1)(y
90
+ 67y
89
+ ··· − 85896y + 81)
c
4
, c
9
(y
15
− 8y
14
+ ··· + 12y −1)(y
90
− 41y
89
+ ··· − 10y + 1)
c
6
(y
15
+ y
14
+ ··· + 3y −1)(y
90
+ 4y
89
+ ··· − 89y + 1)
c
8
(y
15
− 3y
14
+ ··· + 3y −1)(y
90
− 4y
89
+ ··· + 7y + 1)
c
10
(y
15
+ 4y
14
+ ··· + 40y −1)(y
90
+ 23y
89
+ ··· − 198y + 1)
c
11
(y
15
− 3y
14
+ ··· − y −1)(y
90
+ 20y
89
+ ··· + 1.28414 × 10
7
y + 2798929)
20
