12n
0620
(K12n
0620
)
A knot diagram
1
Linearized knot diagam
3 8 6 10 9 1 10 2 12 8 5 4
Solving Sequence
3,8
2 9
1,10
7 6 4 5 12 11
c
2
c
8
c
1
c
7
c
6
c
3
c
5
c
12
c
11
c
4
, c
9
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.73681 × 10
256
u
109
− 4.05736 × 10
257
u
108
+ ··· + 1.53699 × 10
257
b − 1.76787 × 10
260
,
1.94900 × 10
259
u
109
− 3.61458 × 10
259
u
108
+ ··· + 4.59560 × 10
259
a − 9.14146 × 10
260
,
u
110
− 2u
109
+ ··· − 963u + 299i
I
u
2
= h11609161034u
38
+ 12620010667u
37
+ ··· + 1705879031b + 52177194139,
− 15376761536u
38
− 26045766200u
37
+ ··· + 5117637093a − 26089510019,
u
39
+ u
38
+ ··· − 5u + 3i
* 2 irreducible components of dim
C
= 0, with total 149 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−2.74 × 10
256
u
109
− 4.06 × 10
257
u
108
+ · · · + 1.54 × 10
257
b − 1.77 ×
10
260
, 1.95 × 10
259
u
109
− 3.61 × 10
259
u
108
+ · · · + 4.60 × 10
259
a − 9.14 ×
10
260
, u
110
− 2u
109
+ · · · − 963u + 299i
(i) Arc colorings
a
3
=
1
0
a
8
=
0
u
a
2
=
1
u
2
a
9
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
10
=
−0.424100u
109
+ 0.786531u
108
+ ··· − 129.279u + 19.8918
0.178063u
109
+ 2.63981u
108
+ ··· − 2882.73u + 1150.21
a
7
=
−0.353328u
109
+ 1.67139u
108
+ ··· − 1477.43u + 519.669
0.532410u
109
− 2.28550u
108
+ ··· + 1910.28u − 663.962
a
6
=
−0.944196u
109
+ 2.84949u
108
+ ··· − 2069.39u + 645.488
0.965844u
109
− 2.70003u
108
+ ··· + 1777.43u − 527.622
a
4
=
−0.721156u
109
+ 1.24858u
108
+ ··· − 776.539u + 163.332
0.969958u
109
− 1.71452u
108
+ ··· + 488.229u + 11.3660
a
5
=
0.344268u
109
− 0.0978060u
108
+ ··· − 369.928u + 206.437
1.24825u
109
− 3.84301u
108
+ ··· + 2734.98u − 855.933
a
12
=
0.608160u
109
− 0.734139u
108
+ ··· + 154.268u + 49.4400
0.366448u
109
− 2.01607u
108
+ ··· + 1749.68u − 629.644
a
11
=
0.424100u
109
− 0.786531u
108
+ ··· + 129.279u − 19.8918
−0.751274u
109
− 1.98316u
108
+ ··· + 2815.31u − 1168.65
(ii) Obstruction class = −1
(iii) Cusp Shapes = 19.0742u
109
− 31.2577u
108
+ ··· + 11449.6u − 1567.00
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
110
+ 42u
109
+ ··· + 4187325u + 89401
c
2
, c
8
u
110
+ 2u
109
+ ··· + 963u + 299
c
3
u
110
+ 10u
109
+ ··· + 25u − 1
c
4
u
110
+ 8u
108
+ ··· + 1099616u + 270272
c
5
u
110
− 3u
109
+ ··· + 9806561u + 1029481
c
6
u
110
+ 5u
109
+ ··· + 140122u − 5273
c
7
, c
10
u
110
+ u
109
+ ··· + 26u + 1
c
9
u
110
− 7u
109
+ ··· − 40u + 1
c
11
u
110
+ 3u
109
+ ··· + 54488131u + 3556907
c
12
u
110
+ 8u
109
+ ··· − 5432u + 83
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
110
+ 62y
109
+ ··· − 1749078882747y + 7992538801
c
2
, c
8
y
110
+ 42y
109
+ ··· + 4187325y + 89401
c
3
y
110
− 24y
109
+ ··· − 35y + 1
c
4
y
110
+ 16y
109
+ ··· + 4786463564800y + 73046953984
c
5
y
110
− 29y
109
+ ··· − 26980827938145y + 1059831129361
c
6
y
110
+ 45y
109
+ ··· − 976149500y + 27804529
c
7
, c
10
y
110
+ 87y
109
+ ··· + 98y + 1
c
9
y
110
− 27y
109
+ ··· − 484y + 1
c
11
y
110
+ 23y
109
+ ··· − 545838580976069y + 12651587406649
c
12
y
110
− 6y
109
+ ··· − 29183256y + 6889
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.722846 + 0.701707I
a = −1.017860 − 0.590067I
b = −0.727453 − 0.080952I
3.33089 − 2.04230I 0
u = −0.722846 − 0.701707I
a = −1.017860 + 0.590067I
b = −0.727453 + 0.080952I
3.33089 + 2.04230I 0
u = 0.445918 + 0.876034I
a = 0.58584 − 1.30472I
b = 1.41639 − 0.62868I
−6.18417 + 2.12923I 0
u = 0.445918 − 0.876034I
a = 0.58584 + 1.30472I
b = 1.41639 + 0.62868I
−6.18417 − 2.12923I 0
u = −0.698901 + 0.679034I
a = 0.90817 − 1.27666I
b = −0.86504 − 2.14123I
3.33911 + 2.19870I 0
u = −0.698901 − 0.679034I
a = 0.90817 + 1.27666I
b = −0.86504 + 2.14123I
3.33911 − 2.19870I 0
u = −0.346243 + 0.975342I
a = −0.413122 + 0.497225I
b = 0.006959 + 0.697219I
−0.60914 − 1.80163I 0
u = −0.346243 − 0.975342I
a = −0.413122 − 0.497225I
b = 0.006959 − 0.697219I
−0.60914 + 1.80163I 0
u = 0.763827 + 0.726239I
a = −1.59712 − 0.66520I
b = 0.18657 − 1.56551I
7.19825 − 4.32425I 0
u = 0.763827 − 0.726239I
a = −1.59712 + 0.66520I
b = 0.18657 + 1.56551I
7.19825 + 4.32425I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.571377 + 0.750356I
a = −0.769118 + 0.584129I
b = 0.216929 + 0.253116I
−1.84127 − 0.70860I 0
u = 0.571377 − 0.750356I
a = −0.769118 − 0.584129I
b = 0.216929 − 0.253116I
−1.84127 + 0.70860I 0
u = 0.595378 + 0.874733I
a = 0.177994 − 1.026400I
b = 0.43318 − 1.54478I
−2.04500 + 5.27108I 0
u = 0.595378 − 0.874733I
a = 0.177994 + 1.026400I
b = 0.43318 + 1.54478I
−2.04500 − 5.27108I 0
u = −0.626457 + 0.864050I
a = 1.14154 − 0.95416I
b = −0.96129 − 2.66223I
2.41221 − 2.45417I 0
u = −0.626457 − 0.864050I
a = 1.14154 + 0.95416I
b = −0.96129 + 2.66223I
2.41221 + 2.45417I 0
u = 0.337405 + 0.860809I
a = 0.545050 − 0.680241I
b = 1.90211 − 0.19509I
−3.62539 − 1.21292I 0
u = 0.337405 − 0.860809I
a = 0.545050 + 0.680241I
b = 1.90211 + 0.19509I
−3.62539 + 1.21292I 0
u = 0.002367 + 0.923336I
a = 1.198900 − 0.401062I
b = 1.352370 − 0.092461I
1.97943 − 4.96044I 0
u = 0.002367 − 0.923336I
a = 1.198900 + 0.401062I
b = 1.352370 + 0.092461I
1.97943 + 4.96044I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.362094 + 1.020900I
a = −0.431256 + 0.237298I
b = 0.677429 + 0.253537I
−1.86815 − 0.95241I 0
u = 0.362094 − 1.020900I
a = −0.431256 − 0.237298I
b = 0.677429 − 0.253537I
−1.86815 + 0.95241I 0
u = 1.09151
a = −1.20966
b = 0.426400
−2.72278 0
u = 0.156976 + 0.886403I
a = 0.517031 − 0.819311I
b = −2.20512 − 1.12750I
−5.39558 + 5.25843I 0
u = 0.156976 − 0.886403I
a = 0.517031 + 0.819311I
b = −2.20512 + 1.12750I
−5.39558 − 5.25843I 0
u = −0.704749 + 0.860618I
a = −1.10219 + 0.90580I
b = 1.22696 + 2.04135I
6.18973 − 6.69907I 0
u = −0.704749 − 0.860618I
a = −1.10219 − 0.90580I
b = 1.22696 − 2.04135I
6.18973 + 6.69907I 0
u = 0.703019 + 0.866531I
a = 0.410291 − 0.025373I
b = −1.26321 − 0.79273I
−2.06981 + 6.66278I 0
u = 0.703019 − 0.866531I
a = 0.410291 + 0.025373I
b = −1.26321 + 0.79273I
−2.06981 − 6.66278I 0
u = 0.440379 + 0.763170I
a = −0.64807 + 1.58057I
b = −1.141980 + 0.190483I
−5.80700 + 1.50471I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.440379 − 0.763170I
a = −0.64807 − 1.58057I
b = −1.141980 − 0.190483I
−5.80700 − 1.50471I 0
u = 0.804886 + 0.781354I
a = 1.35580 + 0.79298I
b = −0.33866 + 1.71063I
7.48927 + 1.66053I 0
u = 0.804886 − 0.781354I
a = 1.35580 − 0.79298I
b = −0.33866 − 1.71063I
7.48927 − 1.66053I 0
u = −0.856105 + 0.734749I
a = 1.17022 + 0.96909I
b = 1.012480 + 0.338174I
1.48996 + 3.88010I 0
u = −0.856105 − 0.734749I
a = 1.17022 − 0.96909I
b = 1.012480 − 0.338174I
1.48996 − 3.88010I 0
u = −0.150463 + 1.124600I
a = −1.031350 + 0.040889I
b = 0.215838 + 0.240483I
−1.23331 + 1.22688I 0
u = −0.150463 − 1.124600I
a = −1.031350 − 0.040889I
b = 0.215838 − 0.240483I
−1.23331 − 1.22688I 0
u = −0.719221 + 0.878314I
a = −0.907622 + 0.945954I
b = 0.35687 + 2.59585I
6.14126 + 1.24957I 0
u = −0.719221 − 0.878314I
a = −0.907622 − 0.945954I
b = 0.35687 − 2.59585I
6.14126 − 1.24957I 0
u = −0.296758 + 0.812163I
a = −1.257690 + 0.297788I
b = −0.518619 − 0.150423I
0.537031 − 1.207440I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.296758 − 0.812163I
a = −1.257690 − 0.297788I
b = −0.518619 + 0.150423I
0.537031 + 1.207440I 0
u = 0.997006 + 0.556264I
a = 1.19356 + 0.90160I
b = −0.43208 + 1.57023I
8.27801 − 4.57132I 0
u = 0.997006 − 0.556264I
a = 1.19356 − 0.90160I
b = −0.43208 − 1.57023I
8.27801 + 4.57132I 0
u = 0.400337 + 1.070610I
a = 0.130198 + 0.182402I
b = −0.139502 − 0.845139I
−4.28944 + 3.55197I 0
u = 0.400337 − 1.070610I
a = 0.130198 − 0.182402I
b = −0.139502 + 0.845139I
−4.28944 − 3.55197I 0
u = 0.256791 + 0.805667I
a = 0.464107 + 1.205970I
b = −1.098290 + 0.008504I
−3.53626 + 3.81291I 0
u = 0.256791 − 0.805667I
a = 0.464107 − 1.205970I
b = −1.098290 − 0.008504I
−3.53626 − 3.81291I 0
u = 0.281043 + 1.129070I
a = 0.0542065 + 0.1136410I
b = 0.136152 − 0.267958I
−5.24948 − 0.28210I 0
u = 0.281043 − 1.129070I
a = 0.0542065 − 0.1136410I
b = 0.136152 + 0.267958I
−5.24948 + 0.28210I 0
u = −0.849507 + 0.809289I
a = −0.741868 + 1.083740I
b = 0.40181 + 2.05841I
3.63531 + 1.33713I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.849507 − 0.809289I
a = −0.741868 − 1.083740I
b = 0.40181 − 2.05841I
3.63531 − 1.33713I 0
u = −0.292829 + 1.140030I
a = −1.180480 + 0.389242I
b = −1.46797 + 0.39561I
−0.137879 + 0.321132I 0
u = −0.292829 − 1.140030I
a = −1.180480 − 0.389242I
b = −1.46797 − 0.39561I
−0.137879 − 0.321132I 0
u = 1.024800 + 0.580684I
a = −1.19370 − 1.00233I
b = 0.34345 − 1.67474I
7.2811 − 12.3035I 0
u = 1.024800 − 0.580684I
a = −1.19370 + 1.00233I
b = 0.34345 + 1.67474I
7.2811 + 12.3035I 0
u = 0.749698 + 0.289214I
a = −0.1297850 + 0.0239455I
b = 0.240853 + 0.119770I
−0.98667 − 3.24837I 0
u = 0.749698 − 0.289214I
a = −0.1297850 − 0.0239455I
b = 0.240853 − 0.119770I
−0.98667 + 3.24837I 0
u = −1.054500 + 0.566130I
a = 0.537611 − 1.194650I
b = −0.55155 − 1.70109I
8.01631 + 1.94598I 0
u = −1.054500 − 0.566130I
a = 0.537611 + 1.194650I
b = −0.55155 + 1.70109I
8.01631 − 1.94598I 0
u = −0.677358 + 0.988928I
a = 0.631718 + 0.861883I
b = 0.957361 + 0.484007I
2.45837 − 3.33905I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.677358 − 0.988928I
a = 0.631718 − 0.861883I
b = 0.957361 − 0.484007I
2.45837 + 3.33905I 0
u = 0.222666 + 0.768558I
a = −0.777803 + 0.666985I
b = 2.96488 + 0.93575I
−4.79949 − 3.56029I 0
u = 0.222666 − 0.768558I
a = −0.777803 − 0.666985I
b = 2.96488 − 0.93575I
−4.79949 + 3.56029I 0
u = 0.567412 + 1.059780I
a = 0.0499061 − 0.1307740I
b = −0.765301 + 0.192801I
0.04110 + 7.67997I 0
u = 0.567412 − 1.059780I
a = 0.0499061 + 0.1307740I
b = −0.765301 − 0.192801I
0.04110 − 7.67997I 0
u = −0.522752 + 1.085990I
a = 0.973408 − 0.524333I
b = 1.46745 − 1.79487I
1.33546 − 7.85597I 0
u = −0.522752 − 1.085990I
a = 0.973408 + 0.524333I
b = 1.46745 + 1.79487I
1.33546 + 7.85597I 0
u = −0.667948 + 1.003410I
a = 1.104430 − 0.758801I
b = −0.58229 − 2.28353I
2.34844 − 7.49528I 0
u = −0.667948 − 1.003410I
a = 1.104430 + 0.758801I
b = −0.58229 + 2.28353I
2.34844 + 7.49528I 0
u = 0.703432 + 0.982255I
a = −0.57713 − 1.34466I
b = 0.71275 − 2.41009I
6.41324 + 9.89890I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.703432 − 0.982255I
a = −0.57713 + 1.34466I
b = 0.71275 + 2.41009I
6.41324 − 9.89890I 0
u = 0.752637 + 0.948523I
a = 0.677210 + 1.194750I
b = −0.62119 + 2.34760I
6.97709 + 4.18089I 0
u = 0.752637 − 0.948523I
a = 0.677210 − 1.194750I
b = −0.62119 − 2.34760I
6.97709 − 4.18089I 0
u = 0.742838 + 0.959284I
a = −0.452411 + 0.181354I
b = 0.984265 + 0.575575I
−2.19004 − 1.11649I 0
u = 0.742838 − 0.959284I
a = −0.452411 − 0.181354I
b = 0.984265 − 0.575575I
−2.19004 + 1.11649I 0
u = 0.839106 + 0.897477I
a = 0.860838 + 0.936493I
b = −0.63470 + 2.13840I
6.76959 + 3.11743I 0
u = 0.839106 − 0.897477I
a = 0.860838 − 0.936493I
b = −0.63470 − 2.13840I
6.76959 − 3.11743I 0
u = −0.490267 + 0.588933I
a = −0.408893 + 0.539297I
b = −0.118510 + 0.402371I
0.37791 − 1.68859I 0
u = −0.490267 − 0.588933I
a = −0.408893 − 0.539297I
b = −0.118510 − 0.402371I
0.37791 + 1.68859I 0
u = −0.791619 + 0.967926I
a = −1.012830 + 0.862680I
b = 0.61314 + 1.87380I
3.14059 − 7.45185I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.791619 − 0.967926I
a = −1.012830 − 0.862680I
b = 0.61314 − 1.87380I
3.14059 + 7.45185I 0
u = −0.754952 + 1.002980I
a = −0.96228 − 1.04203I
b = −1.267360 − 0.506770I
0.65666 − 9.87625I 0
u = −0.754952 − 1.002980I
a = −0.96228 + 1.04203I
b = −1.267360 + 0.506770I
0.65666 + 9.87625I 0
u = 0.597618 + 0.441462I
a = −0.257840 − 0.234467I
b = −0.253860 + 0.711613I
1.80194 − 2.98891I 0
u = 0.597618 − 0.441462I
a = −0.257840 + 0.234467I
b = −0.253860 − 0.711613I
1.80194 + 2.98891I 0
u = 0.544171 + 1.135500I
a = 0.0599171 + 0.0180853I
b = −0.108409 − 0.279795I
−3.47609 + 8.12962I 0
u = 0.544171 − 1.135500I
a = 0.0599171 − 0.0180853I
b = −0.108409 + 0.279795I
−3.47609 − 8.12962I 0
u = −0.262254 + 0.649877I
a = 1.98854 − 0.43600I
b = −0.613552 + 0.641324I
3.47982 + 4.08661I −13.33560 + 0.I
u = −0.262254 − 0.649877I
a = 1.98854 + 0.43600I
b = −0.613552 − 0.641324I
3.47982 − 4.08661I −13.33560 + 0.I
u = 0.408299 + 1.249070I
a = 0.213406 − 1.114190I
b = 0.11995 − 2.87727I
−7.06000 + 4.83351I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.408299 − 1.249070I
a = 0.213406 + 1.114190I
b = 0.11995 + 2.87727I
−7.06000 − 4.83351I 0
u = −0.654822 + 0.139766I
a = 0.58380 − 2.18903I
b = −0.261229 − 0.419096I
3.74355 + 3.53991I −4.00000 − 3.29686I
u = −0.654822 − 0.139766I
a = 0.58380 + 2.18903I
b = −0.261229 + 0.419096I
3.74355 − 3.53991I −4.00000 + 3.29686I
u = 0.734549 + 1.136420I
a = 0.621206 + 1.112780I
b = −0.61835 + 2.68599I
6.46528 + 10.86220I 0
u = 0.734549 − 1.136420I
a = 0.621206 − 1.112780I
b = −0.61835 − 2.68599I
6.46528 − 10.86220I 0
u = 0.754779 + 1.142830I
a = −0.703845 − 1.136610I
b = 0.56031 − 2.63452I
5.5076 + 18.7521I 0
u = 0.754779 − 1.142830I
a = −0.703845 + 1.136610I
b = 0.56031 + 2.63452I
5.5076 − 18.7521I 0
u = −1.321520 + 0.379233I
a = −0.337643 + 1.187470I
b = 0.31220 + 1.53336I
5.74971 − 5.00037I 0
u = −1.321520 − 0.379233I
a = −0.337643 − 1.187470I
b = 0.31220 − 1.53336I
5.74971 + 5.00037I 0
u = −0.771559 + 1.151210I
a = 0.890069 − 0.688454I
b = −0.27955 − 2.00957I
6.19341 − 8.51585I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.771559 − 1.151210I
a = 0.890069 + 0.688454I
b = −0.27955 + 2.00957I
6.19341 + 8.51585I 0
u = −0.164450 + 1.385290I
a = 1.021200 − 0.385607I
b = 0.446356 − 0.603996I
−0.89195 − 9.78273I 0
u = −0.164450 − 1.385290I
a = 1.021200 + 0.385607I
b = 0.446356 + 0.603996I
−0.89195 + 9.78273I 0
u = 0.581174
a = −0.508856
b = 0.502116
−1.35474 −7.05700
u = −0.19366 + 1.40634I
a = −0.874181 + 0.427985I
b = −0.205974 + 0.896255I
0.33041 − 2.04839I 0
u = −0.19366 − 1.40634I
a = −0.874181 − 0.427985I
b = −0.205974 − 0.896255I
0.33041 + 2.04839I 0
u = −0.96655 + 1.06458I
a = −0.755366 + 0.862184I
b = 0.35356 + 1.85000I
4.02708 − 3.77390I 0
u = −0.96655 − 1.06458I
a = −0.755366 − 0.862184I
b = 0.35356 − 1.85000I
4.02708 + 3.77390I 0
u = −0.038866 + 0.292210I
a = −2.66380 + 0.09334I
b = −1.041810 + 0.607287I
1.75436 − 2.59200I 2.03482 + 0.31842I
u = −0.038866 − 0.292210I
a = −2.66380 − 0.09334I
b = −1.041810 − 0.607287I
1.75436 + 2.59200I 2.03482 − 0.31842I
15
II.
I
u
2
= h1.16 × 10
10
u
38
+ 1.26 × 10
10
u
37
+ · · · + 1.71× 10
9
b + 5.22 ×10
10
, −1.54 ×
10
10
u
38
−2.60×10
10
u
37
+· · ·+5.12×10
9
a−2.61×10
10
, u
39
+u
38
+· · ·−5u+3i
(i) Arc colorings
a
3
=
1
0
a
8
=
0
u
a
2
=
1
u
2
a
9
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
10
=
3.00466u
38
+ 5.08941u
37
+ ··· + 24.6462u + 5.09796
−6.80538u
38
− 7.39795u
37
+ ··· + 32.7085u − 30.5867
a
7
=
−6.48500u
38
− 8.88570u
37
+ ··· − 34.1505u − 5.35458
−5.68266u
38
− 3.83171u
37
+ ··· − 43.6053u + 9.98890
a
6
=
−9.15840u
38
− 12.6366u
37
+ ··· − 49.6185u − 6.44140
−4.32777u
38
− 2.99455u
37
+ ··· − 34.3192u + 11.6682
a
4
=
−3.46041u
38
− 4.94835u
37
+ ··· − 22.2584u − 1.61415
−2.42874u
38
+ 0.548168u
37
+ ··· − 68.6513u + 30.8932
a
5
=
−9.12343u
38
− 9.84116u
37
+ ··· − 59.5190u + 4.95937
−3.51702u
38
− 0.614793u
37
+ ··· − 30.5223u + 14.7875
a
12
=
5.65559u
38
+ 2.56831u
37
+ ··· + 56.6364u − 19.5593
−3.18047u
38
− 4.57244u
37
+ ··· + 8.65337u − 11.4424
a
11
=
3.00466u
38
+ 5.08941u
37
+ ··· + 24.6462u + 5.09796
−7.48515u
38
− 8.60320u
37
+ ··· + 34.1183u − 36.8409
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
20149469114
1705879031
u
38
−
11732042020
1705879031
u
37
+ ···−
334502621797
1705879031
u +
5505549483
1705879031
16
(iv) u-Polynomials at the component
17
Crossings u-Polynomials at each crossing
c
1
u
39
− 19u
38
+ ··· − 173u + 9
c
2
u
39
+ u
38
+ ··· − 5u + 3
c
3
u
39
− 21u
38
+ ··· + 7u − 1
c
4
u
39
+ u
38
+ ··· − 2u + 1
c
5
u
39
+ 8u
36
+ ··· + 19u + 1
c
6
u
39
− 4u
38
+ ··· + 14u + 1
c
7
u
39
− 2u
38
+ ··· − 2u − 1
c
8
u
39
− u
38
+ ··· − 5u − 3
c
9
u
39
− 14u
38
+ ··· + 12u − 1
c
10
u
39
+ 2u
38
+ ··· − 2u + 1
c
11
u
39
− 2u
38
+ ··· − u − 3
c
12
u
39
− u
38
+ ··· − 4u + 1
18
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
39
+ 11y
38
+ ··· + 103y −81
c
2
, c
8
y
39
+ 19y
38
+ ··· − 173y −9
c
3
y
39
− 23y
38
+ ··· + 3y −1
c
4
y
39
− 23y
38
+ ··· − 12y −1
c
5
y
39
− 48y
37
+ ··· + 317y −1
c
6
y
39
+ 10y
38
+ ··· + 60y −1
c
7
, c
10
y
39
+ 8y
38
+ ··· + 26y −1
c
9
y
39
− 18y
38
+ ··· + 4y −1
c
11
y
39
− 20y
38
+ ··· + 121y −9
c
12
y
39
+ 11y
38
+ ··· + 16y −1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.381509 + 0.917059I
a = 0.055108 + 0.492299I
b = 2.64138 − 1.32304I
−4.84250 − 6.01524I −7.39015 + 9.84235I
u = −0.381509 − 0.917059I
a = 0.055108 − 0.492299I
b = 2.64138 + 1.32304I
−4.84250 + 6.01524I −7.39015 − 9.84235I
u = 0.157939 + 1.016680I
a = 1.230100 + 0.275403I
b = 0.869444 − 0.397926I
−0.309417 + 0.564833I −11.10551 − 1.04698I
u = 0.157939 − 1.016680I
a = 1.230100 − 0.275403I
b = 0.869444 + 0.397926I
−0.309417 − 0.564833I −11.10551 + 1.04698I
u = −0.374304 + 0.866275I
a = −0.287460 − 0.459532I
b = −3.24378 + 0.90407I
−4.65276 + 2.86183I −8.72125 + 1.48205I
u = −0.374304 − 0.866275I
a = −0.287460 + 0.459532I
b = −3.24378 − 0.90407I
−4.65276 − 2.86183I −8.72125 − 1.48205I
u = 0.488776 + 0.964307I
a = 0.686621 − 1.028550I
b = 1.250150 − 0.271535I
−6.38253 + 2.66006I −13.9544 − 10.9667I
u = 0.488776 − 0.964307I
a = 0.686621 + 1.028550I
b = 1.250150 + 0.271535I
−6.38253 − 2.66006I −13.9544 + 10.9667I
u = −0.786721 + 0.781260I
a = −0.757095 + 1.128990I
b = 0.53819 + 2.17515I
4.36068 + 1.41163I 1.07438 − 1.63800I
u = −0.786721 − 0.781260I
a = −0.757095 − 1.128990I
b = 0.53819 − 2.17515I
4.36068 − 1.41163I 1.07438 + 1.63800I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.487152 + 0.737238I
a = −0.77118 + 1.59271I
b = −1.294470 + 0.302016I
−5.60145 + 1.33676I 2.67435 + 9.87638I
u = 0.487152 − 0.737238I
a = −0.77118 − 1.59271I
b = −1.294470 − 0.302016I
−5.60145 − 1.33676I 2.67435 − 9.87638I
u = 1.003500 + 0.538416I
a = 0.62597 + 1.29517I
b = −0.58422 + 1.49706I
5.41733 + 4.52189I −4.50034 − 4.01452I
u = 1.003500 − 0.538416I
a = 0.62597 − 1.29517I
b = −0.58422 − 1.49706I
5.41733 − 4.52189I −4.50034 + 4.01452I
u = 0.336615 + 1.093440I
a = 0.440002 − 0.353670I
b = 0.690677 + 0.157463I
−5.37949 − 0.76456I −11.81802 + 7.51740I
u = 0.336615 − 1.093440I
a = 0.440002 + 0.353670I
b = 0.690677 − 0.157463I
−5.37949 + 0.76456I −11.81802 − 7.51740I
u = −1.14447
a = 1.10497
b = −0.514924
−2.83583 −46.6120
u = −0.679942 + 0.953484I
a = −0.303900 − 0.514678I
b = 0.79200 − 1.18044I
−2.67499 − 7.07270I −10.5818 + 10.8935I
u = −0.679942 − 0.953484I
a = −0.303900 + 0.514678I
b = 0.79200 + 1.18044I
−2.67499 + 7.07270I −10.5818 − 10.8935I
u = 0.712859 + 0.378244I
a = −0.833822 + 0.362873I
b = −0.394868 + 0.081022I
−1.58544 − 3.30132I −10.50768 + 3.97124I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.712859 − 0.378244I
a = −0.833822 − 0.362873I
b = −0.394868 − 0.081022I
−1.58544 + 3.30132I −10.50768 − 3.97124I
u = −0.149539 + 1.192040I
a = 0.882984 + 0.014537I
b = −0.385730 + 0.022764I
−0.760558 + 1.166500I 0.78374 − 5.31915I
u = −0.149539 − 1.192040I
a = 0.882984 − 0.014537I
b = −0.385730 − 0.022764I
−0.760558 − 1.166500I 0.78374 + 5.31915I
u = 0.503517 + 1.097370I
a = −0.901381 − 0.456802I
b = −1.17970 − 1.17478I
1.96107 + 7.82530I 1.58001 − 8.33410I
u = 0.503517 − 1.097370I
a = −0.901381 + 0.456802I
b = −1.17970 + 1.17478I
1.96107 − 7.82530I 1.58001 + 8.33410I
u = −0.748258 + 0.981212I
a = −1.031590 + 0.779076I
b = 0.63515 + 1.95664I
3.74165 − 7.21979I 0. + 5.50828I
u = −0.748258 − 0.981212I
a = −1.031590 − 0.779076I
b = 0.63515 − 1.95664I
3.74165 + 7.21979I 0. − 5.50828I
u = 0.549832 + 1.115040I
a = 0.164961 − 0.405266I
b = 0.439895 − 0.349678I
−3.80185 + 8.15309I −19.0524 − 8.2054I
u = 0.549832 − 1.115040I
a = 0.164961 + 0.405266I
b = 0.439895 + 0.349678I
−3.80185 − 8.15309I −19.0524 + 8.2054I
u = −0.189863 + 0.675716I
a = 1.158180 − 0.077473I
b = 1.290150 − 0.570160I
1.34646 − 2.99430I −8.12142 + 9.02848I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.189863 − 0.675716I
a = 1.158180 + 0.077473I
b = 1.290150 + 0.570160I
1.34646 + 2.99430I −8.12142 − 9.02848I
u = −0.419941 + 1.229910I
a = −0.174810 − 1.097680I
b = −0.12861 − 2.96842I
−7.15090 − 4.72557I −25.9426 − 17.9514I
u = −0.419941 − 1.229910I
a = −0.174810 + 1.097680I
b = −0.12861 + 2.96842I
−7.15090 + 4.72557I −25.9426 + 17.9514I
u = 0.084189 + 0.686727I
a = 0.65325 + 1.40719I
b = −1.46534 + 0.61488I
−3.35584 + 2.88777I −6.85176 − 2.26602I
u = 0.084189 − 0.686727I
a = 0.65325 − 1.40719I
b = −1.46534 − 0.61488I
−3.35584 − 2.88777I −6.85176 + 2.26602I
u = 0.348774 + 0.592391I
a = −1.80358 − 0.63228I
b = 0.081902 + 0.480520I
3.88988 − 4.04539I 6.73624 + 2.96880I
u = 0.348774 − 0.592391I
a = −1.80358 + 0.63228I
b = 0.081902 − 0.480520I
3.88988 + 4.04539I 6.73624 − 2.96880I
u = −0.870844 + 1.009680I
a = 0.581836 + 0.266590I
b = −0.794734 + 0.505924I
−2.41024 + 1.21179I −29.5248 − 13.9009I
u = −0.870844 − 1.009680I
a = 0.581836 − 0.266590I
b = −0.794734 − 0.505924I
−2.41024 − 1.21179I −29.5248 + 13.9009I
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
39
− 19u
38
+ ··· − 173u + 9)
· (u
110
+ 42u
109
+ ··· + 4187325u + 89401)
c
2
(u
39
+ u
38
+ ··· − 5u + 3)(u
110
+ 2u
109
+ ··· + 963u + 299)
c
3
(u
39
− 21u
38
+ ··· + 7u − 1)(u
110
+ 10u
109
+ ··· + 25u − 1)
c
4
(u
39
+ u
38
+ ··· − 2u + 1)(u
110
+ 8u
108
+ ··· + 1099616u + 270272)
c
5
(u
39
+ 8u
36
+ ··· + 19u + 1)
· (u
110
− 3u
109
+ ··· + 9806561u + 1029481)
c
6
(u
39
− 4u
38
+ ··· + 14u + 1)(u
110
+ 5u
109
+ ··· + 140122u − 5273)
c
7
(u
39
− 2u
38
+ ··· − 2u − 1)(u
110
+ u
109
+ ··· + 26u + 1)
c
8
(u
39
− u
38
+ ··· − 5u − 3)(u
110
+ 2u
109
+ ··· + 963u + 299)
c
9
(u
39
− 14u
38
+ ··· + 12u − 1)(u
110
− 7u
109
+ ··· − 40u + 1)
c
10
(u
39
+ 2u
38
+ ··· − 2u + 1)(u
110
+ u
109
+ ··· + 26u + 1)
c
11
(u
39
− 2u
38
+ ··· − u − 3)(u
110
+ 3u
109
+ ··· + 5.44881 × 10
7
u + 3556907)
c
12
(u
39
− u
38
+ ··· − 4u + 1)(u
110
+ 8u
109
+ ··· − 5432u + 83)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
39
+ 11y
38
+ ··· + 103y −81)
· (y
110
+ 62y
109
+ ··· − 1749078882747y + 7992538801)
c
2
, c
8
(y
39
+ 19y
38
+ ··· − 173y −9)
· (y
110
+ 42y
109
+ ··· + 4187325y + 89401)
c
3
(y
39
− 23y
38
+ ··· + 3y −1)(y
110
− 24y
109
+ ··· − 35y + 1)
c
4
(y
39
− 23y
38
+ ··· − 12y −1)
· (y
110
+ 16y
109
+ ··· + 4786463564800y + 73046953984)
c
5
(y
39
− 48y
37
+ ··· + 317y −1)
· (y
110
− 29y
109
+ ··· − 26980827938145y + 1059831129361)
c
6
(y
39
+ 10y
38
+ ··· + 60y −1)
· (y
110
+ 45y
109
+ ··· − 976149500y + 27804529)
c
7
, c
10
(y
39
+ 8y
38
+ ··· + 26y −1)(y
110
+ 87y
109
+ ··· + 98y + 1)
c
9
(y
39
− 18y
38
+ ··· + 4y −1)(y
110
− 27y
109
+ ··· − 484y + 1)
c
11
(y
39
− 20y
38
+ ··· + 121y −9)
· (y
110
+ 23y
109
+ ··· − 545838580976069y + 12651587406649)
c
12
(y
39
+ 11y
38
+ ··· + 16y −1)(y
110
− 6y
109
+ ··· − 29183256y + 6889)
26
