12n
0731
(K12n
0731
)
A knot diagram
1
Linearized knot diagam
4 6 7 10 12 9 12 3 2 1 7 5
Solving Sequence
1,10 5,11
4 2 9 12 6 7 8 3
c
10
c
4
c
1
c
9
c
12
c
5
c
6
c
7
c
3
c
2
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h3.93575 × 10
718
u
105
+ 3.48971 × 10
719
u
104
+ ··· + 3.15936 × 10
722
b + 1.38793 × 10
723
,
− 5.52453 × 10
723
u
105
− 5.11171 × 10
724
u
104
+ ··· + 9.52365 × 10
725
a − 1.77941 × 10
728
,
u
106
+ 10u
105
+ ··· − 15333u + 21101i
I
u
2
= h4.63757 × 10
102
u
45
− 4.96173 × 10
103
u
44
+ ··· + 2.96832 × 10
102
b − 1.06364 × 10
103
,
− 4.46704 × 10
101
u
45
+ 4.84639 × 10
102
u
44
+ ··· + 1.09938 × 10
101
a + 4.31174 × 10
101
,
u
46
− 11u
45
+ ··· − 7u + 1i
* 2 irreducible components of dim
C
= 0, with total 152 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
= h3.94 × 10
718
u
105
+ 3.49 × 10
719
u
104
+ · · · + 3.16 × 10
722
b + 1.39 ×
10
723
, −5.52 × 10
723
u
105
− 5.11 × 10
724
u
104
+ · · · + 9.52 × 10
725
a − 1.78 ×
10
728
, u
106
+ 10u
105
+ · · · − 15333u + 21101i
(i) Arc colorings
a
1
=
0
u
a
10
=
1
0
a
5
=
0.00580085u
105
+ 0.0536738u
104
+ ··· − 572.698u + 186.841
−0.000124574u
105
− 0.00110456u
104
+ ··· + 24.9971u − 4.39308
a
11
=
1
u
2
a
4
=
0.00567627u
105
+ 0.0525692u
104
+ ··· − 547.701u + 182.448
−0.000124574u
105
− 0.00110456u
104
+ ··· + 24.9971u − 4.39308
a
2
=
−0.000537252u
105
− 0.000473389u
104
+ ··· − 629.847u + 113.927
−0.00320183u
105
− 0.0290170u
104
+ ··· + 170.414u − 77.5333
a
9
=
0.00921004u
105
+ 0.0926336u
104
+ ··· − 2089.53u + 697.826
−0.00291743u
105
− 0.0260276u
104
+ ··· + 39.1070u − 48.6936
a
12
=
0.00598408u
105
+ 0.0586924u
104
+ ··· − 978.692u + 272.862
−0.00331950u
105
− 0.0301488u
104
+ ··· + 180.431u − 81.4016
a
6
=
−0.0526098u
105
− 0.500361u
104
+ ··· + 5932.15u − 2233.30
−0.000768914u
105
− 0.00825865u
104
+ ··· + 242.812u − 76.3708
a
7
=
0.000439883u
105
+ 0.000487826u
104
+ ··· + 1000.19u − 186.949
0.000546921u
105
+ 0.00460690u
104
+ ··· + 40.0615u − 4.47173
a
8
=
−0.0234483u
105
− 0.233104u
104
+ ··· + 4664.71u − 1533.64
−0.00343512u
105
− 0.0330149u
104
+ ··· + 409.086u − 149.387
a
3
=
0.0268396u
105
+ 0.252050u
104
+ ··· − 3022.06u + 1070.17
0.00293758u
105
+ 0.0273639u
104
+ ··· − 238.020u + 100.084
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0420363u
105
+ 0.394092u
104
+ ··· − 4107.71u + 1589.71
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
106
+ 4u
105
+ ··· + 166u + 7
c
2
u
106
− 2u
105
+ ··· − 689301u + 133281
c
3
u
106
+ 3u
105
+ ··· − 4214426643u + 4151404117
c
4
u
106
− 2u
105
+ ··· − 717u + 99
c
5
, c
12
u
106
− 2u
105
+ ··· + 1381696u + 76939
c
6
u
106
+ 7u
105
+ ··· + 4u + 1
c
7
, c
11
u
106
− 2u
105
+ ··· + 2088059u + 2311849
c
8
u
106
+ u
105
+ ··· − 233910687u + 50664949
c
9
u
106
− 2u
105
+ ··· + 701049191u + 114592757
c
10
u
106
− 10u
105
+ ··· + 15333u + 21101
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
106
− 20y
105
+ ··· + 1704y + 49
c
2
y
106
+ 46y
105
+ ··· + 3044616486147y + 17763824961
c
3
y
106
− 59y
105
+ ··· − 3.51 × 10
20
y + 1.72 × 10
19
c
4
y
106
− 8y
105
+ ··· − 558243y + 9801
c
5
, c
12
y
106
+ 116y
105
+ ··· + 9155464634y + 5919609721
c
6
y
106
− 7y
105
+ ··· + 382y + 1
c
7
, c
11
y
106
+ 100y
105
+ ··· + 37507627368405y + 5344645798801
c
8
y
106
− 51y
105
+ ··· − 49138395059999669y + 2566937057172601
c
9
y
106
+ 64y
105
+ ··· + 722400296247735653y + 13131499956861049
c
10
y
106
− 48y
105
+ ··· + 110688846921y + 445252201
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.948251 + 0.358375I
a = −0.154934 − 0.911130I
b = −0.510751 + 1.304030I
−0.767957 + 0.562214I 0
u = 0.948251 − 0.358375I
a = −0.154934 + 0.911130I
b = −0.510751 − 1.304030I
−0.767957 − 0.562214I 0
u = −0.930685 + 0.254156I
a = 0.01050 + 1.63189I
b = −1.07268 − 1.48298I
−11.7927 + 9.8137I 0
u = −0.930685 − 0.254156I
a = 0.01050 − 1.63189I
b = −1.07268 + 1.48298I
−11.7927 − 9.8137I 0
u = −0.945138 + 0.053638I
a = −0.85171 + 1.91195I
b = −0.846585 − 0.188696I
−11.8754 − 8.4290I 0
u = −0.945138 − 0.053638I
a = −0.85171 − 1.91195I
b = −0.846585 + 0.188696I
−11.8754 + 8.4290I 0
u = −1.062100 + 0.135212I
a = 0.326050 + 0.030341I
b = −0.260804 − 0.164981I
2.19964 − 0.01235I 0
u = −1.062100 − 0.135212I
a = 0.326050 − 0.030341I
b = −0.260804 + 0.164981I
2.19964 + 0.01235I 0
u = −0.782358 + 0.742448I
a = 0.92375 − 1.12045I
b = −0.776614 + 0.856855I
−6.70297 + 3.11731I 0
u = −0.782358 − 0.742448I
a = 0.92375 + 1.12045I
b = −0.776614 − 0.856855I
−6.70297 − 3.11731I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.095120 + 0.119769I
a = 0.264555 + 1.382680I
b = −1.10117 − 1.34433I
−11.66480 + 1.74888I 0
u = −1.095120 − 0.119769I
a = 0.264555 − 1.382680I
b = −1.10117 + 1.34433I
−11.66480 − 1.74888I 0
u = 0.797748 + 0.760470I
a = 1.08756 − 1.39027I
b = 0.693867 + 0.683785I
−6.23465 − 1.54870I 0
u = 0.797748 − 0.760470I
a = 1.08756 + 1.39027I
b = 0.693867 − 0.683785I
−6.23465 + 1.54870I 0
u = −0.850488 + 0.260836I
a = 0.70300 − 1.65375I
b = 1.134180 + 0.421351I
−10.10390 + 2.94022I 0
u = −0.850488 − 0.260836I
a = 0.70300 + 1.65375I
b = 1.134180 − 0.421351I
−10.10390 − 2.94022I 0
u = −0.942406 + 0.605035I
a = −0.73783 + 1.25298I
b = 1.57100 − 1.20619I
−7.51559 + 5.45810I 0
u = −0.942406 − 0.605035I
a = −0.73783 − 1.25298I
b = 1.57100 + 1.20619I
−7.51559 − 5.45810I 0
u = −0.793473 + 0.794434I
a = −0.22967 − 1.45133I
b = −0.784680 + 0.922555I
3.59008 + 5.00840I 0
u = −0.793473 − 0.794434I
a = −0.22967 + 1.45133I
b = −0.784680 − 0.922555I
3.59008 − 5.00840I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.136930 + 0.025652I
a = 0.10186 + 1.44244I
b = 1.19216 − 1.13971I
−11.47160 + 1.76278I 0
u = −1.136930 − 0.025652I
a = 0.10186 − 1.44244I
b = 1.19216 + 1.13971I
−11.47160 − 1.76278I 0
u = −1.133530 + 0.262789I
a = 0.168383 − 0.318272I
b = −0.723006 + 0.657240I
2.39981 + 0.29529I 0
u = −1.133530 − 0.262789I
a = 0.168383 + 0.318272I
b = −0.723006 − 0.657240I
2.39981 − 0.29529I 0
u = −1.142390 + 0.245124I
a = −0.089472 − 0.364832I
b = −0.827228 + 0.837561I
0.57325 + 8.04216I 0
u = −1.142390 − 0.245124I
a = −0.089472 + 0.364832I
b = −0.827228 − 0.837561I
0.57325 − 8.04216I 0
u = −0.785176 + 0.240971I
a = 0.87091 − 1.86486I
b = 0.355226 + 0.832415I
−7.36655 + 1.24942I 0
u = −0.785176 − 0.240971I
a = 0.87091 + 1.86486I
b = 0.355226 − 0.832415I
−7.36655 − 1.24942I 0
u = 1.007270 + 0.634188I
a = −0.493189 + 0.266012I
b = −0.655674 + 0.146501I
−4.52914 − 1.62674I 0
u = 1.007270 − 0.634188I
a = −0.493189 − 0.266012I
b = −0.655674 − 0.146501I
−4.52914 + 1.62674I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.194200 + 0.015303I
a = 0.191122 − 1.267150I
b = 0.757365 + 0.167163I
−9.51831 + 1.58191I 0
u = −1.194200 − 0.015303I
a = 0.191122 + 1.267150I
b = 0.757365 − 0.167163I
−9.51831 − 1.58191I 0
u = 0.715283 + 0.362122I
a = 0.258748 + 0.444327I
b = −1.21522 − 0.89354I
0.26251 − 5.29920I 0
u = 0.715283 − 0.362122I
a = 0.258748 − 0.444327I
b = −1.21522 + 0.89354I
0.26251 + 5.29920I 0
u = 0.039556 + 0.776971I
a = −0.951114 − 0.865301I
b = −0.366670 + 1.048150I
1.09346 − 2.32406I 0
u = 0.039556 − 0.776971I
a = −0.951114 + 0.865301I
b = −0.366670 − 1.048150I
1.09346 + 2.32406I 0
u = 1.126670 + 0.522022I
a = −0.431260 − 1.241580I
b = 1.37061 + 1.09434I
−7.07297 − 0.53927I 0
u = 1.126670 − 0.522022I
a = −0.431260 + 1.241580I
b = 1.37061 − 1.09434I
−7.07297 + 0.53927I 0
u = 1.055460 + 0.681232I
a = 0.306393 + 0.858063I
b = −0.652118 + 0.095378I
−4.17577 + 1.05529I 0
u = 1.055460 − 0.681232I
a = 0.306393 − 0.858063I
b = −0.652118 − 0.095378I
−4.17577 − 1.05529I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.716244 + 1.049390I
a = −0.307272 − 0.800764I
b = 0.834602 + 0.837103I
0.62607 − 2.48643I 0
u = 0.716244 − 1.049390I
a = −0.307272 + 0.800764I
b = 0.834602 − 0.837103I
0.62607 + 2.48643I 0
u = 0.649056 + 1.129630I
a = −0.852304 − 0.606312I
b = 0.953022 + 0.164976I
−4.69259 − 5.04246I 0
u = 0.649056 − 1.129630I
a = −0.852304 + 0.606312I
b = 0.953022 − 0.164976I
−4.69259 + 5.04246I 0
u = 0.501347 + 0.472370I
a = −0.00844 + 1.77091I
b = −0.86573 − 1.27101I
2.10442 − 3.12705I 0
u = 0.501347 − 0.472370I
a = −0.00844 − 1.77091I
b = −0.86573 + 1.27101I
2.10442 + 3.12705I 0
u = −0.206688 + 0.653964I
a = −0.698029 − 0.144455I
b = 0.142044 + 1.053890I
0.66152 − 1.95991I 0
u = −0.206688 − 0.653964I
a = −0.698029 + 0.144455I
b = 0.142044 − 1.053890I
0.66152 + 1.95991I 0
u = −0.343078 + 0.550704I
a = 1.047830 + 0.746559I
b = 0.932482 − 0.842902I
0.30226 + 3.78367I 0
u = −0.343078 − 0.550704I
a = 1.047830 − 0.746559I
b = 0.932482 + 0.842902I
0.30226 − 3.78367I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.597051 + 0.247246I
a = 1.009150 + 0.086880I
b = 0.821278 − 0.470853I
−1.68666 + 1.98824I 0
u = −0.597051 − 0.247246I
a = 1.009150 − 0.086880I
b = 0.821278 + 0.470853I
−1.68666 − 1.98824I 0
u = 0.617618 + 0.183682I
a = 1.036030 + 0.858345I
b = 0.234908 + 0.223337I
0.96810 + 1.47192I 0
u = 0.617618 − 0.183682I
a = 1.036030 − 0.858345I
b = 0.234908 − 0.223337I
0.96810 − 1.47192I 0
u = 0.937954 + 1.003510I
a = 0.507532 − 1.161270I
b = 0.877508 + 0.856765I
−6.00148 − 10.91030I 0
u = 0.937954 − 1.003510I
a = 0.507532 + 1.161270I
b = 0.877508 − 0.856765I
−6.00148 + 10.91030I 0
u = 1.261480 + 0.596350I
a = 0.130770 + 0.811658I
b = −0.886100 − 0.141133I
−5.30219 − 1.09707I 0
u = 1.261480 − 0.596350I
a = 0.130770 − 0.811658I
b = −0.886100 + 0.141133I
−5.30219 + 1.09707I 0
u = 1.036710 + 0.951321I
a = −0.452856 + 0.505281I
b = 1.020630 − 0.738227I
−6.47476 − 4.69639I 0
u = 1.036710 − 0.951321I
a = −0.452856 − 0.505281I
b = 1.020630 + 0.738227I
−6.47476 + 4.69639I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.257527 + 0.515622I
a = −0.322926 − 0.949508I
b = 0.152335 + 0.575471I
0.280562 − 1.196360I 3.52474 + 5.60215I
u = 0.257527 − 0.515622I
a = −0.322926 + 0.949508I
b = 0.152335 − 0.575471I
0.280562 + 1.196360I 3.52474 − 5.60215I
u = 1.31569 + 0.54735I
a = −0.389611 − 1.075770I
b = 1.27345 + 1.14690I
−6.89798 − 8.79517I 0
u = 1.31569 − 0.54735I
a = −0.389611 + 1.075770I
b = 1.27345 − 1.14690I
−6.89798 + 8.79517I 0
u = −0.541271 + 0.124755I
a = −0.975052 − 0.524676I
b = −0.893710 + 0.465289I
−0.39210 − 2.59281I 7.20768 + 1.21957I
u = −0.541271 − 0.124755I
a = −0.975052 + 0.524676I
b = −0.893710 − 0.465289I
−0.39210 + 2.59281I 7.20768 − 1.21957I
u = 0.483565 + 0.259179I
a = −0.73010 − 3.16054I
b = 0.546969 − 0.143757I
−2.77209 + 5.05289I −8.48455 + 2.07484I
u = 0.483565 − 0.259179I
a = −0.73010 + 3.16054I
b = 0.546969 + 0.143757I
−2.77209 − 5.05289I −8.48455 − 2.07484I
u = 1.04138 + 1.02713I
a = 0.261733 + 0.782034I
b = −1.28490 − 0.68756I
−4.01100 − 6.40397I 0
u = 1.04138 − 1.02713I
a = 0.261733 − 0.782034I
b = −1.28490 + 0.68756I
−4.01100 + 6.40397I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.19380 + 0.84572I
a = −0.166866 + 0.186053I
b = −1.061720 − 0.304828I
−4.54460 − 5.42564I 0
u = 1.19380 − 0.84572I
a = −0.166866 − 0.186053I
b = −1.061720 + 0.304828I
−4.54460 + 5.42564I 0
u = −0.495283 + 0.088834I
a = −2.96721 + 4.95995I
b = −0.444387 − 0.018262I
−9.14069 − 0.80624I −19.8674 + 10.1131I
u = −0.495283 − 0.088834I
a = −2.96721 − 4.95995I
b = −0.444387 + 0.018262I
−9.14069 + 0.80624I −19.8674 − 10.1131I
u = 1.46177 + 0.59034I
a = −0.215984 + 0.256621I
b = −0.881375 − 0.537779I
−4.90201 − 4.43875I 0
u = 1.46177 − 0.59034I
a = −0.215984 − 0.256621I
b = −0.881375 + 0.537779I
−4.90201 + 4.43875I 0
u = 0.89486 + 1.31823I
a = 0.395762 + 0.688009I
b = −1.37189 − 0.73112I
−2.12203 − 8.74504I 0
u = 0.89486 − 1.31823I
a = 0.395762 − 0.688009I
b = −1.37189 + 0.73112I
−2.12203 + 8.74504I 0
u = 0.284209 + 0.260690I
a = −0.86523 − 2.72830I
b = 0.24829 + 2.52526I
4.76226 − 1.79870I 25.9708 + 15.0919I
u = 0.284209 − 0.260690I
a = −0.86523 + 2.72830I
b = 0.24829 − 2.52526I
4.76226 + 1.79870I 25.9708 − 15.0919I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.35115 + 1.02108I
a = −0.384632 + 0.336220I
b = 0.805758 − 0.612411I
−6.73034 + 3.19854I 0
u = 1.35115 − 1.02108I
a = −0.384632 − 0.336220I
b = 0.805758 + 0.612411I
−6.73034 − 3.19854I 0
u = 1.61710 + 0.52120I
a = −0.195134 − 0.641151I
b = −0.065410 + 0.986285I
−0.855434 + 1.061610I 0
u = 1.61710 − 0.52120I
a = −0.195134 + 0.641151I
b = −0.065410 − 0.986285I
−0.855434 − 1.061610I 0
u = −1.41061 + 0.99105I
a = 0.280813 − 1.037220I
b = −1.20795 + 0.97310I
−12.6935 + 10.2089I 0
u = −1.41061 − 0.99105I
a = 0.280813 + 1.037220I
b = −1.20795 − 0.97310I
−12.6935 − 10.2089I 0
u = 1.32727 + 1.14971I
a = −0.187504 + 0.280739I
b = −0.547721 − 0.363592I
−2.26303 − 5.50263I 0
u = 1.32727 − 1.14971I
a = −0.187504 − 0.280739I
b = −0.547721 + 0.363592I
−2.26303 + 5.50263I 0
u = −1.69925 + 0.60337I
a = −0.211195 + 0.846439I
b = 1.14431 − 1.11529I
−11.47210 + 6.72692I 0
u = −1.69925 − 0.60337I
a = −0.211195 − 0.846439I
b = 1.14431 + 1.11529I
−11.47210 − 6.72692I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.48794 + 1.05318I
a = 0.292761 − 0.937966I
b = −1.24691 + 0.99234I
−13.0549 + 18.5441I 0
u = −1.48794 − 1.05318I
a = 0.292761 + 0.937966I
b = −1.24691 − 0.99234I
−13.0549 − 18.5441I 0
u = 0.0184117 + 0.0764072I
a = −19.7931 − 0.5237I
b = 0.765902 + 0.428407I
−3.02888 − 4.05834I −1.04168 + 5.42388I
u = 0.0184117 − 0.0764072I
a = −19.7931 + 0.5237I
b = 0.765902 − 0.428407I
−3.02888 + 4.05834I −1.04168 − 5.42388I
u = −1.51776 + 1.18422I
a = −0.440549 + 0.645329I
b = 1.25869 − 0.67958I
−10.28040 + 6.92286I 0
u = −1.51776 − 1.18422I
a = −0.440549 − 0.645329I
b = 1.25869 + 0.67958I
−10.28040 − 6.92286I 0
u = −1.74685 + 1.36330I
a = −0.352646 + 0.557306I
b = 0.795501 − 0.401484I
−9.69587 + 4.06130I 0
u = −1.74685 − 1.36330I
a = −0.352646 − 0.557306I
b = 0.795501 + 0.401484I
−9.69587 − 4.06130I 0
u = −1.58272 + 1.75447I
a = 0.544100 − 0.285753I
b = −0.832862 + 0.145056I
−10.85040 + 0.01190I 0
u = −1.58272 − 1.75447I
a = 0.544100 + 0.285753I
b = −0.832862 − 0.145056I
−10.85040 − 0.01190I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.74593 + 2.28578I
a = −0.535217 − 0.144034I
b = 0.513562 + 0.155957I
−1.96916 + 1.44033I 0
u = 0.74593 − 2.28578I
a = −0.535217 + 0.144034I
b = 0.513562 − 0.155957I
−1.96916 − 1.44033I 0
u = −2.16516 + 1.05620I
a = −0.198937 + 0.588848I
b = 0.614802 − 0.852901I
−7.93947 + 8.17502I 0
u = −2.16516 − 1.05620I
a = −0.198937 − 0.588848I
b = 0.614802 + 0.852901I
−7.93947 − 8.17502I 0
u = −1.81564 + 2.27985I
a = 0.439486 − 0.198812I
b = −0.626592 + 0.030210I
−10.93290 − 7.45942I 0
u = −1.81564 − 2.27985I
a = 0.439486 + 0.198812I
b = −0.626592 − 0.030210I
−10.93290 + 7.45942I 0
15
II. I
u
2
= h4.64 × 10
102
u
45
− 4.96 × 10
103
u
44
+ · · · + 2.97 × 10
102
b − 1.06 ×
10
103
, −4.47 × 10
101
u
45
+ 4.85 × 10
102
u
44
+ · · · + 1.10 × 10
101
a + 4.31 ×
10
101
, u
46
− 11u
45
+ · · · − 7u + 1i
(i) Arc colorings
a
1
=
0
u
a
10
=
1
0
a
5
=
4.06325u
45
− 44.0830u
44
+ ··· + 45.5983u − 3.92199
−1.56236u
45
+ 16.7156u
44
+ ··· − 21.2186u + 3.58330
a
11
=
1
u
2
a
4
=
2.50089u
45
− 27.3674u
44
+ ··· + 24.3797u − 0.338689
−1.56236u
45
+ 16.7156u
44
+ ··· − 21.2186u + 3.58330
a
2
=
−1.15894u
45
+ 13.7072u
44
+ ··· − 87.4730u + 10.2885
−0.423720u
45
+ 4.33986u
44
+ ··· + 6.85683u − 0.731156
a
9
=
4.86797u
45
− 53.2924u
44
+ ··· + 35.3372u + 3.68106
−0.597283u
45
+ 6.57247u
44
+ ··· − 13.9228u + 0.811989
a
12
=
−0.747951u
45
+ 9.78917u
44
+ ··· − 107.559u + 14.2752
0.0127262u
45
− 0.421828u
44
+ ··· + 15.2294u − 3.25555
a
6
=
−4.83816u
45
+ 52.4954u
44
+ ··· + 7.73377u − 8.03027
0.986954u
45
− 10.8794u
44
+ ··· + 15.3516u − 1.73769
a
7
=
0.453412u
45
− 3.22680u
44
+ ··· − 114.989u + 16.8345
−0.162251u
45
+ 1.66269u
44
+ ··· + 11.3438u − 2.85686
a
8
=
0.932975u
45
− 10.3189u
44
+ ··· − 25.5380u + 6.74990
0.344412u
45
− 3.38307u
44
+ ··· + 1.79936u − 0.411703
a
3
=
−5.21563u
45
+ 55.7888u
44
+ ··· + 5.25262u − 3.43172
2.15587u
45
− 23.0750u
44
+ ··· + 24.9826u − 4.14539
(ii) Obstruction class = 1
(iii) Cusp Shapes = −1.27881u
45
+ 10.0331u
44
+ ··· + 158.321u − 24.5507
16
(iv) u-Polynomials at the component
17
Crossings u-Polynomials at each crossing
c
1
u
46
− 15u
45
+ ··· − 12u + 1
c
2
u
46
− u
45
+ ··· + 9u + 1
c
3
u
46
− 2u
45
+ ··· + 551u + 267
c
4
u
46
+ u
45
+ ··· + u + 3
c
5
u
46
+ u
45
+ ··· − 8u + 1
c
6
u
46
+ 14u
45
+ ··· + 2u + 1
c
7
u
46
+ 3u
45
+ ··· + u + 1
c
8
u
46
− 2u
45
+ ··· − u + 1
c
9
u
46
− 3u
45
+ ··· − 9u + 1
c
10
u
46
− 11u
45
+ ··· − 7u + 1
c
11
u
46
− 3u
45
+ ··· − u + 1
c
12
u
46
− u
45
+ ··· + 8u + 1
18
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
46
+ 3y
45
+ ··· − 34y + 1
c
2
y
46
+ 9y
45
+ ··· + 49y + 1
c
3
y
46
+ 16y
45
+ ··· − 810367y + 71289
c
4
y
46
+ 7y
45
+ ··· − 145y + 9
c
5
, c
12
y
46
+ 47y
45
+ ··· + 104y + 1
c
6
y
46
− 16y
45
+ ··· + 24y + 1
c
7
, c
11
y
46
+ 11y
45
+ ··· − 25y + 1
c
8
y
46
− 4y
45
+ ··· + 25y + 1
c
9
y
46
+ 19y
45
+ ··· + 3y + 1
c
10
y
46
− 17y
45
+ ··· + 27y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.080460 + 0.038951I
a = 0.12178 − 1.40900I
b = 0.748500 + 0.430109I
−8.84278 + 1.29891I −6 − 1.296502 + 0.10I
u = −1.080460 − 0.038951I
a = 0.12178 + 1.40900I
b = 0.748500 − 0.430109I
−8.84278 − 1.29891I −6 − 1.296502 + 0.10I
u = −0.529188 + 0.741055I
a = 1.37159 − 1.03509I
b = −1.200260 + 0.647376I
−6.93728 + 4.06544I −2.13882 − 6.23417I
u = −0.529188 − 0.741055I
a = 1.37159 + 1.03509I
b = −1.200260 − 0.647376I
−6.93728 − 4.06544I −2.13882 + 6.23417I
u = −0.773893 + 0.811432I
a = 0.31903 + 1.41298I
b = 0.775191 − 0.943990I
3.54528 + 5.29507I 0. − 18.5723I
u = −0.773893 − 0.811432I
a = 0.31903 − 1.41298I
b = 0.775191 + 0.943990I
3.54528 − 5.29507I 0. + 18.5723I
u = 1.071980 + 0.334178I
a = −0.933492 − 0.199754I
b = −0.720757 − 0.362339I
−4.68927 − 3.21146I −5.77104 + 4.04842I
u = 1.071980 − 0.334178I
a = −0.933492 + 0.199754I
b = −0.720757 + 0.362339I
−4.68927 + 3.21146I −5.77104 − 4.04842I
u = 0.814902 + 0.030858I
a = 0.392927 − 0.462692I
b = 0.996497 + 0.416678I
−0.94713 + 2.73445I −6.38536 − 4.20451I
u = 0.814902 − 0.030858I
a = 0.392927 + 0.462692I
b = 0.996497 − 0.416678I
−0.94713 − 2.73445I −6.38536 + 4.20451I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.241820 + 0.177756I
a = −0.277257 − 0.171462I
b = 0.681801 + 0.367032I
1.81418 − 0.14840I 0
u = −1.241820 − 0.177756I
a = −0.277257 + 0.171462I
b = 0.681801 − 0.367032I
1.81418 + 0.14840I 0
u = 0.417577 + 0.604807I
a = −0.41497 − 1.56147I
b = 0.797091 + 1.144190I
2.45742 − 2.90330I 9.37309 − 1.18434I
u = 0.417577 − 0.604807I
a = −0.41497 + 1.56147I
b = 0.797091 − 1.144190I
2.45742 + 2.90330I 9.37309 + 1.18434I
u = −0.546294 + 0.313560I
a = −2.60819 + 2.68092I
b = 0.295571 − 0.259732I
−8.86263 − 0.60726I 1.19069 − 3.89649I
u = −0.546294 − 0.313560I
a = −2.60819 − 2.68092I
b = 0.295571 + 0.259732I
−8.86263 + 0.60726I 1.19069 + 3.89649I
u = 1.299880 + 0.526256I
a = −0.016970 − 0.619772I
b = 0.883737 + 0.864352I
0.06733 − 8.55060I 0
u = 1.299880 − 0.526256I
a = −0.016970 + 0.619772I
b = 0.883737 − 0.864352I
0.06733 + 8.55060I 0
u = 1.36412 + 0.61025I
a = −0.255163 − 0.684263I
b = −0.122861 + 1.172680I
−1.20108 + 1.09512I 0
u = 1.36412 − 0.61025I
a = −0.255163 + 0.684263I
b = −0.122861 − 1.172680I
−1.20108 − 1.09512I 0
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.21624 + 0.88933I
a = −0.177313 − 0.636169I
b = 0.771947 + 0.826438I
1.89682 − 1.58700I 0
u = 1.21624 − 0.88933I
a = −0.177313 + 0.636169I
b = 0.771947 − 0.826438I
1.89682 + 1.58700I 0
u = 0.87412 + 1.23101I
a = 0.445149 + 0.727091I
b = −1.41076 − 0.77076I
−1.75745 − 8.66604I 0
u = 0.87412 − 1.23101I
a = 0.445149 − 0.727091I
b = −1.41076 + 0.77076I
−1.75745 + 8.66604I 0
u = −0.031638 + 0.474975I
a = −1.78170 − 0.99428I
b = −0.184757 + 0.950428I
2.06266 − 1.99350I 7.87364 + 3.36486I
u = −0.031638 − 0.474975I
a = −1.78170 + 0.99428I
b = −0.184757 − 0.950428I
2.06266 + 1.99350I 7.87364 − 3.36486I
u = 0.134688 + 0.446286I
a = −1.56879 − 0.44078I
b = 0.105012 + 1.400360I
0.10858 − 1.47097I −2.07177 + 2.97846I
u = 0.134688 − 0.446286I
a = −1.56879 + 0.44078I
b = 0.105012 − 1.400360I
0.10858 + 1.47097I −2.07177 − 2.97846I
u = −0.151481 + 0.365867I
a = 1.51585 + 0.66888I
b = 1.065700 − 0.891662I
0.81005 + 4.67170I 5.10683 − 4.56207I
u = −0.151481 − 0.365867I
a = 1.51585 − 0.66888I
b = 1.065700 + 0.891662I
0.81005 − 4.67170I 5.10683 + 4.56207I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.369857 + 0.101384I
a = −0.40443 + 2.90127I
b = −0.32679 − 2.60967I
4.63011 − 1.72097I −19.4943 − 11.2123I
u = 0.369857 − 0.101384I
a = −0.40443 − 2.90127I
b = −0.32679 + 2.60967I
4.63011 + 1.72097I −19.4943 + 11.2123I
u = 1.38112 + 0.85155I
a = 0.0615776 + 0.0568179I
b = −0.859725 − 0.295394I
−2.92673 − 5.23238I 0
u = 1.38112 − 0.85155I
a = 0.0615776 − 0.0568179I
b = −0.859725 + 0.295394I
−2.92673 + 5.23238I 0
u = 1.17878 + 1.14817I
a = 0.126876 + 0.612623I
b = −1.205660 − 0.538251I
−4.85536 − 6.77026I 0
u = 1.17878 − 1.14817I
a = 0.126876 − 0.612623I
b = −1.205660 + 0.538251I
−4.85536 + 6.77026I 0
u = 1.49770 + 0.80398I
a = 0.154987 + 0.470742I
b = −0.970975 − 0.160075I
−6.00481 − 2.21833I 0
u = 1.49770 − 0.80398I
a = 0.154987 − 0.470742I
b = −0.970975 + 0.160075I
−6.00481 + 2.21833I 0
u = 0.000032 + 0.293930I
a = 6.03051 − 1.00295I
b = −0.556153 − 0.290506I
−2.54880 − 5.33195I 5.9602 + 15.9576I
u = 0.000032 − 0.293930I
a = 6.03051 + 1.00295I
b = −0.556153 + 0.290506I
−2.54880 + 5.33195I 5.9602 − 15.9576I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.37338 + 1.06566I
a = −0.708890 + 0.512812I
b = 0.231211 − 0.453434I
−10.16720 − 7.45232I 0
u = −1.37338 − 1.06566I
a = −0.708890 − 0.512812I
b = 0.231211 + 0.453434I
−10.16720 + 7.45232I 0
u = −1.59102 + 0.99847I
a = −0.370712 + 0.723207I
b = 1.16412 − 0.81106I
−9.94664 + 6.44925I 0
u = −1.59102 − 0.99847I
a = −0.370712 − 0.723207I
b = 1.16412 + 0.81106I
−9.94664 − 6.44925I 0
u = 1.19818 + 2.11888I
a = 0.477592 + 0.242574I
b = −0.457665 − 0.061059I
−1.98805 + 1.64558I 0
u = 1.19818 − 2.11888I
a = 0.477592 − 0.242574I
b = −0.457665 + 0.061059I
−1.98805 − 1.64558I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
46
− 15u
45
+ ··· − 12u + 1)(u
106
+ 4u
105
+ ··· + 166u + 7)
c
2
(u
46
− u
45
+ ··· + 9u + 1)(u
106
− 2u
105
+ ··· − 689301u + 133281)
c
3
(u
46
− 2u
45
+ ··· + 551u + 267)
· (u
106
+ 3u
105
+ ··· − 4214426643u + 4151404117)
c
4
(u
46
+ u
45
+ ··· + u + 3)(u
106
− 2u
105
+ ··· − 717u + 99)
c
5
(u
46
+ u
45
+ ··· − 8u + 1)(u
106
− 2u
105
+ ··· + 1381696u + 76939)
c
6
(u
46
+ 14u
45
+ ··· + 2u + 1)(u
106
+ 7u
105
+ ··· + 4u + 1)
c
7
(u
46
+ 3u
45
+ ··· + u + 1)(u
106
− 2u
105
+ ··· + 2088059u + 2311849)
c
8
(u
46
− 2u
45
+ ··· − u + 1)
· (u
106
+ u
105
+ ··· − 233910687u + 50664949)
c
9
(u
46
− 3u
45
+ ··· − 9u + 1)
· (u
106
− 2u
105
+ ··· + 701049191u + 114592757)
c
10
(u
46
− 11u
45
+ ··· − 7u + 1)(u
106
− 10u
105
+ ··· + 15333u + 21101)
c
11
(u
46
− 3u
45
+ ··· − u + 1)(u
106
− 2u
105
+ ··· + 2088059u + 2311849)
c
12
(u
46
− u
45
+ ··· + 8u + 1)(u
106
− 2u
105
+ ··· + 1381696u + 76939)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
46
+ 3y
45
+ ··· − 34y + 1)(y
106
− 20y
105
+ ··· + 1704y + 49)
c
2
(y
46
+ 9y
45
+ ··· + 49y + 1)
· (y
106
+ 46y
105
+ ··· + 3044616486147y + 17763824961)
c
3
(y
46
+ 16y
45
+ ··· − 810367y + 71289)
· (y
106
− 59y
105
+ ··· − 3.51 × 10
20
y + 1.72 × 10
19
)
c
4
(y
46
+ 7y
45
+ ··· − 145y + 9)(y
106
− 8y
105
+ ··· − 558243y + 9801)
c
5
, c
12
(y
46
+ 47y
45
+ ··· + 104y + 1)
· (y
106
+ 116y
105
+ ··· + 9155464634y + 5919609721)
c
6
(y
46
− 16y
45
+ ··· + 24y + 1)(y
106
− 7y
105
+ ··· + 382y + 1)
c
7
, c
11
(y
46
+ 11y
45
+ ··· − 25y + 1)
· (y
106
+ 100y
105
+ ··· + 37507627368405y + 5344645798801)
c
8
(y
46
− 4y
45
+ ··· + 25y + 1)
· (y
106
− 51y
105
+ ··· − 49138395059999669y + 2566937057172601)
c
9
(y
46
+ 19y
45
+ ··· + 3y + 1)
· (y
106
+ 64y
105
+ ··· + 722400296247735653y + 13131499956861049)
c
10
(y
46
− 17y
45
+ ··· + 27y + 1)
· (y
106
− 48y
105
+ ··· + 110688846921y + 445252201)
27
