12a
1184
(K12a
1184
)
A knot diagram
1
Linearized knot diagam
4 10 9 11 2 3 12 1 6 5 7 8
Solving Sequence
7,12
8
1,4
2 9 3 6 11 5 10
c
7
c
12
c
1
c
8
c
3
c
6
c
11
c
4
c
10
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h6.39446 × 10
159
u
107
− 3.76803 × 10
159
u
106
+ ··· + 6.12809 × 10
158
b + 2.51906 × 10
161
,
− 1.20288 × 10
161
u
107
+ 4.35929 × 10
160
u
106
+ ··· + 1.16434 × 10
160
a − 4.81370 × 10
162
,
u
108
− 64u
106
+ ··· + 79u + 19i
I
u
2
= h−6u
19
+ 5u
18
+ ··· + b + 11, −22u
19
+ 25u
18
+ ··· + a + 65, u
20
− u
19
+ ··· − 3u − 1i
* 2 irreducible components of dim
C
= 0, with total 128 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
= h6.39 × 10
159
u
107
− 3.77 × 10
159
u
106
+ · · · + 6.13 × 10
158
b + 2.52 ×
10
161
, −1.20 × 10
161
u
107
+ 4.36 × 10
160
u
106
+ · · · + 1.16 × 10
160
a − 4.81 ×
10
162
, u
108
− 64u
106
+ · · · + 79u + 19i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
8
=
1
u
2
a
1
=
−u
−u
3
+ u
a
4
=
10.3310u
107
− 3.74401u
106
+ ··· + 793.996u + 413.428
−10.4347u
107
+ 6.14879u
106
+ ··· − 929.658u − 411.068
a
2
=
−2.98176u
107
+ 2.93862u
106
+ ··· − 411.821u − 156.791
−1.87036u
107
+ 1.63181u
106
+ ··· − 260.056u − 126.652
a
9
=
−u
2
+ 1
−u
4
+ 2u
2
a
3
=
19.0569u
107
− 8.18342u
106
+ ··· + 1516.78u + 752.274
−5.23619u
107
+ 3.46950u
106
+ ··· − 506.976u − 215.183
a
6
=
13.4025u
107
− 6.62774u
106
+ ··· + 1005.37u + 465.422
−3.69603u
107
+ 1.87222u
106
+ ··· − 362.917u − 184.182
a
11
=
u
u
a
5
=
15.0580u
107
− 6.03524u
106
+ ··· + 1180.98u + 601.392
−5.70771u
107
+ 3.85755u
106
+ ··· − 542.675u − 223.105
a
10
=
57.1117u
107
− 29.2858u
106
+ ··· + 4525.00u + 1962.94
−6.37163u
107
+ 4.48054u
106
+ ··· − 574.058u − 265.244
(ii) Obstruction class = −1
(iii) Cusp Shapes = 2474.05u
107
− 1304.36u
106
+ ··· + 202505.u + 89977.7
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
108
+ 3u
107
+ ··· − 14150u − 877
c
2
u
108
− 3u
107
+ ··· − 263u + 863
c
3
u
108
− 2u
107
+ ··· − 146927u + 6859
c
4
, c
10
u
108
− 2u
107
+ ··· + 41712u + 7342
c
5
u
108
+ 9u
106
+ ··· − 13u + 1
c
6
u
108
− 3u
107
+ ··· + 210u + 50
c
7
, c
8
, c
11
c
12
u
108
− 64u
106
+ ··· + 79u + 19
c
9
u
108
− 6u
107
+ ··· − 26u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
108
− 23y
107
+ ··· − 277829984y + 769129
c
2
y
108
+ 23y
107
+ ··· + 28915549y + 744769
c
3
y
108
+ 24y
107
+ ··· − 8465521839y + 47045881
c
4
, c
10
y
108
+ 62y
107
+ ··· + 2759081080y + 53904964
c
5
y
108
+ 18y
107
+ ··· − 117y + 1
c
6
y
108
+ 7y
107
+ ··· − 182700y + 2500
c
7
, c
8
, c
11
c
12
y
108
− 128y
107
+ ··· − 7001y + 361
c
9
y
108
+ 2y
107
+ ··· − 400y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.918403 + 0.363047I
a = 0.577687 + 0.075821I
b = 1.29762 − 0.97342I
−0.68898 + 5.29923I 0
u = −0.918403 − 0.363047I
a = 0.577687 − 0.075821I
b = 1.29762 + 0.97342I
−0.68898 − 5.29923I 0
u = −0.786840 + 0.594679I
a = −0.360188 − 0.273117I
b = −1.65851 + 0.51392I
0.8477 + 14.7408I 0
u = −0.786840 − 0.594679I
a = −0.360188 + 0.273117I
b = −1.65851 − 0.51392I
0.8477 − 14.7408I 0
u = −0.853224 + 0.471994I
a = −0.082684 − 0.260349I
b = −1.086620 − 0.376320I
−3.71442 − 1.11666I 0
u = −0.853224 − 0.471994I
a = −0.082684 + 0.260349I
b = −1.086620 + 0.376320I
−3.71442 + 1.11666I 0
u = 0.762919 + 0.594989I
a = 0.127443 − 0.379906I
b = 1.48454 + 0.30248I
2.37811 − 6.64794I 0
u = 0.762919 − 0.594989I
a = 0.127443 + 0.379906I
b = 1.48454 − 0.30248I
2.37811 + 6.64794I 0
u = 0.828146 + 0.461143I
a = −0.074938 + 0.356052I
b = 1.048180 − 0.185516I
−3.68598 − 8.69698I 0
u = 0.828146 − 0.461143I
a = −0.074938 − 0.356052I
b = 1.048180 + 0.185516I
−3.68598 + 8.69698I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.839992 + 0.662463I
a = 0.336973 + 0.212786I
b = 1.062600 − 0.510318I
1.14032 + 5.01007I 0
u = −0.839992 − 0.662463I
a = 0.336973 − 0.212786I
b = 1.062600 + 0.510318I
1.14032 − 5.01007I 0
u = −0.135219 + 0.871002I
a = −0.508112 + 0.365104I
b = 0.632779 + 0.185856I
3.29458 + 0.06012I 0
u = −0.135219 − 0.871002I
a = −0.508112 − 0.365104I
b = 0.632779 − 0.185856I
3.29458 − 0.06012I 0
u = 0.816794 + 0.324059I
a = −0.196676 − 0.789532I
b = −0.046523 − 0.614863I
−1.09335 − 4.09841I 0
u = 0.816794 − 0.324059I
a = −0.196676 + 0.789532I
b = −0.046523 + 0.614863I
−1.09335 + 4.09841I 0
u = 0.745079 + 0.455136I
a = −0.599572 − 0.052001I
b = −1.57915 − 0.82326I
−1.44059 − 6.30070I 0
u = 0.745079 − 0.455136I
a = −0.599572 + 0.052001I
b = −1.57915 + 0.82326I
−1.44059 + 6.30070I 0
u = −0.763932 + 0.347374I
a = 0.391757 − 0.366806I
b = 0.259733 + 0.554449I
−2.10240 + 0.07367I 0
u = −0.763932 − 0.347374I
a = 0.391757 + 0.366806I
b = 0.259733 − 0.554449I
−2.10240 − 0.07367I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.115360 + 0.391127I
a = −0.069494 + 0.571612I
b = −0.009646 − 0.486385I
−1.21891 + 6.13662I 0
u = 1.115360 − 0.391127I
a = −0.069494 − 0.571612I
b = −0.009646 + 0.486385I
−1.21891 − 6.13662I 0
u = 0.792577 + 0.183240I
a = −0.528779 − 0.502606I
b = −1.251760 − 0.258832I
−4.28634 − 1.95164I 0
u = 0.792577 − 0.183240I
a = −0.528779 + 0.502606I
b = −1.251760 + 0.258832I
−4.28634 + 1.95164I 0
u = 0.221271 + 0.765584I
a = −0.509266 − 0.902262I
b = 0.705595 + 0.169000I
4.04452 + 2.10493I 0
u = 0.221271 − 0.765584I
a = −0.509266 + 0.902262I
b = 0.705595 − 0.169000I
4.04452 − 2.10493I 0
u = −0.160991 + 0.770485I
a = 0.754805 − 1.020410I
b = −0.743086 − 0.054824I
2.73787 − 10.19870I 0
u = −0.160991 − 0.770485I
a = 0.754805 + 1.020410I
b = −0.743086 + 0.054824I
2.73787 + 10.19870I 0
u = 0.542523 + 0.538416I
a = −0.539993 + 0.936976I
b = −1.50096 + 0.19417I
−1.94334 − 1.86285I 0
u = 0.542523 − 0.538416I
a = −0.539993 − 0.936976I
b = −1.50096 − 0.19417I
−1.94334 + 1.86285I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.734335 + 0.204776I
a = 0.572466 + 0.621429I
b = −0.570960 − 0.128398I
−0.806750 + 0.415425I 0
u = −0.734335 − 0.204776I
a = 0.572466 − 0.621429I
b = −0.570960 + 0.128398I
−0.806750 − 0.415425I 0
u = −0.673601 + 0.348591I
a = 0.529252 − 0.790567I
b = 0.972439 + 0.173848I
−3.05293 + 2.31643I 0
u = −0.673601 − 0.348591I
a = 0.529252 + 0.790567I
b = 0.972439 − 0.173848I
−3.05293 − 2.31643I 0
u = 1.175480 + 0.414874I
a = 0.103995 − 0.595442I
b = 0.479884 + 0.042072I
−0.72700 − 4.62038I 0
u = 1.175480 − 0.414874I
a = 0.103995 + 0.595442I
b = 0.479884 − 0.042072I
−0.72700 + 4.62038I 0
u = 0.337393 + 0.638153I
a = −0.936417 − 0.482034I
b = 0.657396 + 0.231964I
3.17800 − 2.10286I 0
u = 0.337393 − 0.638153I
a = −0.936417 + 0.482034I
b = 0.657396 − 0.231964I
3.17800 + 2.10286I 0
u = 0.581607 + 0.356113I
a = 0.268997 + 0.217922I
b = −1.41217 − 0.94149I
3.56570 − 6.80593I 0
u = 0.581607 − 0.356113I
a = 0.268997 − 0.217922I
b = −1.41217 + 0.94149I
3.56570 + 6.80593I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.004677 + 0.664850I
a = −0.193937 − 1.179350I
b = −0.270651 + 0.253195I
−1.17764 + 4.94781I 0
u = −0.004677 − 0.664850I
a = −0.193937 + 1.179350I
b = −0.270651 − 0.253195I
−1.17764 − 4.94781I 0
u = −1.318830 + 0.302141I
a = 0.405046 + 0.324159I
b = 0.210817 − 0.448074I
−0.71202 + 1.74500I 0
u = −1.318830 − 0.302141I
a = 0.405046 − 0.324159I
b = 0.210817 + 0.448074I
−0.71202 − 1.74500I 0
u = 0.473407 + 0.403433I
a = 0.191460 − 1.124820I
b = 1.38625 + 0.38967I
3.27491 − 1.44689I 0
u = 0.473407 − 0.403433I
a = 0.191460 + 1.124820I
b = 1.38625 − 0.38967I
3.27491 + 1.44689I 0
u = 0.449380 + 0.427340I
a = −0.30281 − 1.54482I
b = 1.230100 − 0.077357I
3.34419 − 1.57237I 0
u = 0.449380 − 0.427340I
a = −0.30281 + 1.54482I
b = 1.230100 + 0.077357I
3.34419 + 1.57237I 0
u = −0.543074 + 0.265773I
a = −1.073620 − 0.183651I
b = −1.67123 + 1.50600I
3.02271 − 3.50835I 0
u = −0.543074 − 0.265773I
a = −1.073620 + 0.183651I
b = −1.67123 − 1.50600I
3.02271 + 3.50835I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.561967 + 0.148339I
a = 0.06600 + 2.18752I
b = 1.063990 − 0.687409I
1.153670 + 0.568402I −18.5278 + 5.1996I
u = −0.561967 − 0.148339I
a = 0.06600 − 2.18752I
b = 1.063990 + 0.687409I
1.153670 − 0.568402I −18.5278 − 5.1996I
u = 0.085437 + 0.562730I
a = 1.30050 + 1.06453I
b = −0.344796 + 0.356638I
0.48204 + 2.83082I −6.00000 − 4.98877I
u = 0.085437 − 0.562730I
a = 1.30050 − 1.06453I
b = −0.344796 − 0.356638I
0.48204 − 2.83082I −6.00000 + 4.98877I
u = −0.487598 + 0.197242I
a = 0.52968 − 3.54305I
b = −0.64961 − 1.36649I
3.29846 + 5.31621I −6.6460 − 12.8715I
u = −0.487598 − 0.197242I
a = 0.52968 + 3.54305I
b = −0.64961 + 1.36649I
3.29846 − 5.31621I −6.6460 + 12.8715I
u = −0.524996
a = −3.34733
b = 2.70406
0.861575 −721.720
u = −1.51099 + 0.01392I
a = 0.415611 − 0.142159I
b = 0.573366 + 0.852056I
−1.75741 − 3.30179I 0
u = −1.51099 − 0.01392I
a = 0.415611 + 0.142159I
b = 0.573366 − 0.852056I
−1.75741 + 3.30179I 0
u = −0.478642
a = 0.759788
b = −0.383924
−0.850740 −12.2080
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.322815 + 0.350066I
a = 1.39524 + 2.51421I
b = −0.166714 − 0.009266I
4.31901 + 4.18133I −0.636621 + 0.682075I
u = 0.322815 − 0.350066I
a = 1.39524 − 2.51421I
b = −0.166714 + 0.009266I
4.31901 − 4.18133I −0.636621 − 0.682075I
u = −1.52286 + 0.07536I
a = 1.46969 + 0.87081I
b = 1.58641 + 0.00893I
−3.21753 + 3.18908I 0
u = −1.52286 − 0.07536I
a = 1.46969 − 0.87081I
b = 1.58641 − 0.00893I
−3.21753 − 3.18908I 0
u = 1.54723
a = −1.50376
b = −2.03839
−7.67325 0
u = −1.54915 + 0.07118I
a = 2.25525 + 0.03732I
b = 2.37551 − 0.62818I
−3.55685 + 2.93173I 0
u = −1.54915 − 0.07118I
a = 2.25525 − 0.03732I
b = 2.37551 + 0.62818I
−3.55685 − 2.93173I 0
u = 1.56910 + 0.05756I
a = −2.77571 − 1.20477I
b = −2.80809 − 1.79704I
−4.22369 + 2.41374I 0
u = 1.56910 − 0.05756I
a = −2.77571 + 1.20477I
b = −2.80809 + 1.79704I
−4.22369 − 2.41374I 0
u = 1.57523 + 0.04067I
a = −0.34969 + 1.94842I
b = −0.442055 + 1.066160I
−3.90930 − 6.07655I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.57523 − 0.04067I
a = −0.34969 − 1.94842I
b = −0.442055 − 1.066160I
−3.90930 + 6.07655I 0
u = −1.57034 + 0.16360I
a = −1.97014 − 0.95650I
b = −2.20061 − 0.32678I
−9.09144 + 4.42081I 0
u = −1.57034 − 0.16360I
a = −1.97014 + 0.95650I
b = −2.20061 + 0.32678I
−9.09144 − 4.42081I 0
u = −1.57717 + 0.08329I
a = −2.44275 + 0.93501I
b = −2.95985 + 1.70623I
−3.80592 + 8.32471I 0
u = −1.57717 − 0.08329I
a = −2.44275 − 0.93501I
b = −2.95985 − 1.70623I
−3.80592 − 8.32471I 0
u = 1.58453
a = 3.66567
b = 5.23316
−6.52398 0
u = 1.59172 + 0.03587I
a = 1.48460 + 0.91593I
b = 1.69763 + 2.07886I
−6.36818 − 1.20710I 0
u = 1.59172 − 0.03587I
a = 1.48460 − 0.91593I
b = 1.69763 − 2.07886I
−6.36818 + 1.20710I 0
u = 0.013147 + 0.404692I
a = 0.916367 − 0.639370I
b = 0.435184 + 0.458824I
1.21199 + 1.56615I −0.45773 − 2.46701I
u = 0.013147 − 0.404692I
a = 0.916367 + 0.639370I
b = 0.435184 − 0.458824I
1.21199 − 1.56615I −0.45773 + 2.46701I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.139404 + 0.368779I
a = 0.82345 + 1.47280I
b = −0.221813 + 0.391507I
−1.58343 + 0.26531I −8.98911 − 1.46511I
u = −0.139404 − 0.368779I
a = 0.82345 − 1.47280I
b = −0.221813 − 0.391507I
−1.58343 − 0.26531I −8.98911 + 1.46511I
u = 1.60487 + 0.09478I
a = 1.89473 − 0.69782I
b = 2.32906 − 1.10540I
−10.87800 − 3.94093I 0
u = 1.60487 − 0.09478I
a = 1.89473 + 0.69782I
b = 2.32906 + 1.10540I
−10.87800 + 3.94093I 0
u = 1.62125 + 0.10554I
a = 0.835187 − 0.849590I
b = 1.03381 − 1.24999I
−10.25420 − 1.81805I 0
u = 1.62125 − 0.10554I
a = 0.835187 + 0.849590I
b = 1.03381 + 1.24999I
−10.25420 + 1.81805I 0
u = −1.62134 + 0.13055I
a = −2.66168 + 0.40813I
b = −2.99226 + 1.01910I
−9.51933 + 8.50404I 0
u = −1.62134 − 0.13055I
a = −2.66168 − 0.40813I
b = −2.99226 − 1.01910I
−9.51933 − 8.50404I 0
u = 1.63391 + 0.06790I
a = −1.54583 + 0.66573I
b = −2.34433 + 1.12590I
−9.10384 − 1.49738I 0
u = 1.63391 − 0.06790I
a = −1.54583 − 0.66573I
b = −2.34433 − 1.12590I
−9.10384 + 1.49738I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.63138 + 0.17483I
a = 2.10964 + 0.04433I
b = 2.63177 − 0.78645I
−5.73693 + 9.55495I 0
u = −1.63138 − 0.17483I
a = 2.10964 − 0.04433I
b = 2.63177 + 0.78645I
−5.73693 − 9.55495I 0
u = −1.64065 + 0.05077I
a = −2.10831 − 0.01374I
b = −2.58701 − 0.14842I
−12.75440 + 2.84117I 0
u = −1.64065 − 0.05077I
a = −2.10831 + 0.01374I
b = −2.58701 + 0.14842I
−12.75440 − 2.84117I 0
u = 1.63877 + 0.17836I
a = −2.33688 − 0.03643I
b = −2.79570 − 0.87107I
−7.3779 − 17.6901I 0
u = 1.63877 − 0.17836I
a = −2.33688 + 0.03643I
b = −2.79570 + 0.87107I
−7.3779 + 17.6901I 0
u = −1.64771 + 0.13067I
a = 1.92632 + 0.51550I
b = 2.74956 + 0.52191I
−12.1800 + 10.9627I 0
u = −1.64771 − 0.13067I
a = 1.92632 − 0.51550I
b = 2.74956 − 0.52191I
−12.1800 − 10.9627I 0
u = −1.65236 + 0.10735I
a = −0.925408 + 0.230990I
b = −1.091200 + 0.023322I
−9.69561 + 5.84410I 0
u = −1.65236 − 0.10735I
a = −0.925408 − 0.230990I
b = −1.091200 − 0.023322I
−9.69561 − 5.84410I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.65188 + 0.20115I
a = 1.59648 + 0.06650I
b = 1.83545 + 0.71916I
−7.26351 − 8.34290I 0
u = 1.65188 − 0.20115I
a = 1.59648 − 0.06650I
b = 1.83545 − 0.71916I
−7.26351 + 8.34290I 0
u = 1.66033 + 0.12389I
a = −1.71677 + 0.40426I
b = −2.38091 + 0.08129I
−12.39510 − 1.15238I 0
u = 1.66033 − 0.12389I
a = −1.71677 − 0.40426I
b = −2.38091 − 0.08129I
−12.39510 + 1.15238I 0
u = 1.66282 + 0.10923I
a = 2.15488 + 0.68122I
b = 2.44240 + 1.39064I
−9.57130 − 7.18922I 0
u = 1.66282 − 0.10923I
a = 2.15488 − 0.68122I
b = 2.44240 − 1.39064I
−9.57130 + 7.18922I 0
u = −1.69122 + 0.03683I
a = 0.957399 + 0.454951I
b = 1.34667 + 1.01291I
−11.21990 − 4.93762I 0
u = −1.69122 − 0.03683I
a = 0.957399 − 0.454951I
b = 1.34667 − 1.01291I
−11.21990 + 4.93762I 0
15
II. I
u
2
=
h−6u
19
+5u
18
+· · ·+b+11, −22u
19
+25u
18
+· · ·+a+65, u
20
−u
19
+· · ·−3u−1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
8
=
1
u
2
a
1
=
−u
−u
3
+ u
a
4
=
22u
19
− 25u
18
+ ··· + 10u − 65
6u
19
− 5u
18
+ ··· + 14u − 11
a
2
=
−15u
19
+ 8u
18
+ ··· − 5u + 19
−15u
19
+ 8u
18
+ ··· − 17u + 23
a
9
=
−u
2
+ 1
−u
4
+ 2u
2
a
3
=
22u
19
− 25u
18
+ ··· + 4u − 66
6u
19
− 5u
18
+ ··· + 10u − 12
a
6
=
−20u
19
+ 19u
18
+ ··· − 22u + 41
−10u
19
+ 8u
18
+ ··· − 8u + 21
a
11
=
u
u
a
5
=
26u
19
− 25u
18
+ ··· + 14u − 69
10u
19
− 5u
18
+ ··· + 18u − 15
a
10
=
−3u
19
+ 5u
18
+ ··· + 20u + 28
u
19
− 5u
18
+ ··· − 12u − 13
(ii) Obstruction class = 1
(iii) Cusp Shapes = 164u
19
− 79u
18
− 1993u
17
+ 775u
16
+ 10059u
15
− 2864u
14
−
27044u
13
+ 4696u
12
+ 40777u
11
− 2714u
10
− 31522u
9
− 375u
8
+ 5389u
7
− 444u
6
+
9258u
5
+ 1034u
4
− 6308u
3
+ 121u
2
+ 1398u + 246
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
20
− 8u
19
+ ··· − 32u
2
+ 1
c
2
u
20
+ 3u
18
+ ··· − u − 1
c
3
u
20
+ u
19
+ ··· − u − 1
c
4
u
20
+ u
19
+ ··· + 4u − 2
c
5
u
20
− 3u
19
+ ··· + 15u + 1
c
6
u
20
+ 2u
19
+ ··· + 2u + 2
c
7
, c
8
u
20
− u
19
+ ··· − 3u − 1
c
9
u
20
+ u
19
+ ··· − 2u
3
− 1
c
10
u
20
− u
19
+ ··· − 4u − 2
c
11
, c
12
u
20
+ u
19
+ ··· + 3u − 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
20
+ 8y
19
+ ··· − 64y + 1
c
2
y
20
+ 6y
19
+ ··· + y + 1
c
3
y
20
− 13y
19
+ ··· − 3y + 1
c
4
, c
10
y
20
+ 5y
19
+ ··· + 20y + 4
c
5
y
20
+ 13y
19
+ ··· − 117y + 1
c
6
y
20
+ 10y
19
+ ··· + 32y + 4
c
7
, c
8
, c
11
c
12
y
20
− 25y
19
+ ··· − 29y + 1
c
9
y
20
− 11y
19
+ ··· + 8y
2
+ 1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.927558 + 0.479017I
a = 0.305202 + 0.075270I
b = 1.011920 − 0.737878I
0.21502 + 5.49018I −5.21712 − 9.94532I
u = −0.927558 − 0.479017I
a = 0.305202 − 0.075270I
b = 1.011920 + 0.737878I
0.21502 − 5.49018I −5.21712 + 9.94532I
u = −1.217210 + 0.080107I
a = −0.339609 + 0.265677I
b = −0.100001 − 0.690051I
0.52066 + 4.92437I −4.37167 − 4.92544I
u = −1.217210 − 0.080107I
a = −0.339609 − 0.265677I
b = −0.100001 + 0.690051I
0.52066 − 4.92437I −4.37167 + 4.92544I
u = 0.017934 + 0.756062I
a = −0.798234 + 0.332699I
b = 0.725629 + 0.065244I
3.31475 − 1.17586I −2.09290 + 2.07427I
u = 0.017934 − 0.756062I
a = −0.798234 − 0.332699I
b = 0.725629 − 0.065244I
3.31475 + 1.17586I −2.09290 − 2.07427I
u = 1.289750 + 0.230856I
a = 0.701038 − 0.444772I
b = 0.513480 + 0.410656I
−0.51588 − 2.16021I −2.00099 + 7.16467I
u = 1.289750 − 0.230856I
a = 0.701038 + 0.444772I
b = 0.513480 − 0.410656I
−0.51588 + 2.16021I −2.00099 − 7.16467I
u = 0.600674 + 0.326138I
a = −0.896932 − 0.104211I
b = −1.018200 + 0.326709I
−3.11645 − 1.14921I −14.4687 + 0.5864I
u = 0.600674 − 0.326138I
a = −0.896932 + 0.104211I
b = −1.018200 − 0.326709I
−3.11645 + 1.14921I −14.4687 − 0.5864I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.517686
a = −3.16389
b = 2.56725
0.868020 526.730
u = 1.53323 + 0.01301I
a = −1.68845 + 1.51349I
b = −1.85891 + 0.65600I
−3.10435 − 4.82721I −7.16186 + 5.64625I
u = 1.53323 − 0.01301I
a = −1.68845 − 1.51349I
b = −1.85891 − 0.65600I
−3.10435 + 4.82721I −7.16186 − 5.64625I
u = −1.57537
a = 3.07312
b = 4.27015
−6.42326 12.0550
u = −1.60552 + 0.09762I
a = −1.64866 − 0.70657I
b = −1.94517 − 0.88479I
−10.80260 + 2.73837I −13.76555 − 0.87762I
u = −1.60552 − 0.09762I
a = −1.64866 + 0.70657I
b = −1.94517 + 0.88479I
−10.80260 − 2.73837I −13.76555 + 0.87762I
u = 1.65144 + 0.13670I
a = 2.00290 + 0.54466I
b = 2.28133 + 1.16101I
−8.52584 − 7.86422I −8.50053 + 6.51125I
u = 1.65144 − 0.13670I
a = 2.00290 − 0.54466I
b = 2.28133 − 1.16101I
−8.52584 + 7.86422I −8.50053 − 6.51125I
u = −0.313909 + 0.012318I
a = −0.09188 − 4.94728I
b = −1.028780 − 0.956034I
3.40813 + 4.69505I −5.81380 − 2.44604I
u = −0.313909 − 0.012318I
a = −0.09188 + 4.94728I
b = −1.028780 + 0.956034I
3.40813 − 4.69505I −5.81380 + 2.44604I
20
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
20
− 8u
19
+ ··· − 32u
2
+ 1)(u
108
+ 3u
107
+ ··· − 14150u − 877)
c
2
(u
20
+ 3u
18
+ ··· − u − 1)(u
108
− 3u
107
+ ··· − 263u + 863)
c
3
(u
20
+ u
19
+ ··· − u − 1)(u
108
− 2u
107
+ ··· − 146927u + 6859)
c
4
(u
20
+ u
19
+ ··· + 4u − 2)(u
108
− 2u
107
+ ··· + 41712u + 7342)
c
5
(u
20
− 3u
19
+ ··· + 15u + 1)(u
108
+ 9u
106
+ ··· − 13u + 1)
c
6
(u
20
+ 2u
19
+ ··· + 2u + 2)(u
108
− 3u
107
+ ··· + 210u + 50)
c
7
, c
8
(u
20
− u
19
+ ··· − 3u − 1)(u
108
− 64u
106
+ ··· + 79u + 19)
c
9
(u
20
+ u
19
+ ··· − 2u
3
− 1)(u
108
− 6u
107
+ ··· − 26u − 1)
c
10
(u
20
− u
19
+ ··· − 4u − 2)(u
108
− 2u
107
+ ··· + 41712u + 7342)
c
11
, c
12
(u
20
+ u
19
+ ··· + 3u − 1)(u
108
− 64u
106
+ ··· + 79u + 19)
21
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
20
+ 8y
19
+ ··· − 64y + 1)
· (y
108
− 23y
107
+ ··· − 277829984y + 769129)
c
2
(y
20
+ 6y
19
+ ··· + y + 1)(y
108
+ 23y
107
+ ··· + 2.89155 × 10
7
y + 744769)
c
3
(y
20
− 13y
19
+ ··· − 3y + 1)
· (y
108
+ 24y
107
+ ··· − 8465521839y + 47045881)
c
4
, c
10
(y
20
+ 5y
19
+ ··· + 20y + 4)
· (y
108
+ 62y
107
+ ··· + 2759081080y + 53904964)
c
5
(y
20
+ 13y
19
+ ··· − 117y + 1)(y
108
+ 18y
107
+ ··· − 117y + 1)
c
6
(y
20
+ 10y
19
+ ··· + 32y + 4)(y
108
+ 7y
107
+ ··· − 182700y + 2500)
c
7
, c
8
, c
11
c
12
(y
20
− 25y
19
+ ··· − 29y + 1)(y
108
− 128y
107
+ ··· − 7001y + 361)
c
9
(y
20
− 11y
19
+ ··· + 8y
2
+ 1)(y
108
+ 2y
107
+ ··· − 400y + 1)
22
