11a
267
(K11a
267
)
A knot diagram
1
Linearized knot diagam
10 9 1 8 2 3 4 11 6 5 7
Solving Sequence
4,7
8
5,11
9 1 3 2 6 10
c
7
c
4
c
8
c
11
c
3
c
2
c
6
c
10
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h3.44670 × 10
407
u
114
− 8.42803 × 10
407
u
113
+ ··· + 1.19387 × 10
407
b − 2.77971 × 10
408
,
− 9.47292 × 10
408
u
114
+ 2.83965 × 10
409
u
113
+ ··· + 3.70100 × 10
408
a − 2.62544 × 10
410
,
u
115
− u
114
+ ··· − 541u − 31i
I
u
2
= h−861785u
19
− 14841113u
18
+ ··· + 21120991b + 29316743,
17202656u
19
+ 68033143u
18
+ ··· + 21120991a − 84886177, u
20
+ 2u
19
+ ··· + 9u − 1i
* 2 irreducible components of dim
C
= 0, with total 135 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
= h3.45 × 10
407
u
114
− 8.43 × 10
407
u
113
+ · · · + 1.19 × 10
407
b − 2.78 ×
10
408
, −9.47 × 10
408
u
114
+ 2.84 × 10
409
u
113
+ · · · + 3.70 × 10
408
a − 2.63 ×
10
410
, u
115
− u
114
+ · · · − 541u − 31i
(i) Arc colorings
a
4
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
5
=
u
−u
3
+ u
a
11
=
2.55956u
114
− 7.67264u
113
+ ··· + 860.734u + 70.9387
−2.88700u
114
+ 7.05941u
113
+ ··· + 545.327u + 23.2831
a
9
=
1.35442u
114
− 4.78591u
113
+ ··· + 1006.67u + 76.1821
−0.574110u
114
+ 2.15598u
113
+ ··· − 667.441u − 53.4608
a
1
=
−0.327442u
114
− 0.613229u
113
+ ··· + 1406.06u + 94.2218
−2.88700u
114
+ 7.05941u
113
+ ··· + 545.327u + 23.2831
a
3
=
0.149706u
114
− 0.860592u
113
+ ··· + 314.269u + 19.5982
−3.86467u
114
+ 7.94980u
113
+ ··· + 2027.33u + 124.487
a
2
=
−0.639730u
114
+ 0.865923u
113
+ ··· + 690.842u + 40.8469
−3.05087u
114
+ 5.84910u
113
+ ··· + 2187.57u + 143.045
a
6
=
−0.745287u
114
+ 0.449774u
113
+ ··· + 1257.74u + 86.8139
1.57302u
114
− 3.23099u
113
+ ··· − 751.386u − 45.9144
a
10
=
0.183301u
114
− 1.96737u
113
+ ··· + 1494.73u + 104.855
−1.12054u
114
+ 3.53741u
113
+ ··· − 548.015u − 45.9997
a
10
=
0.183301u
114
− 1.96737u
113
+ ··· + 1494.73u + 104.855
−1.12054u
114
+ 3.53741u
113
+ ··· − 548.015u − 45.9997
(ii) Obstruction class = −1
(iii) Cusp Shapes = −21.2534u
114
+ 34.5236u
113
+ ··· + 23037.7u + 1611.82
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
115
− 5u
114
+ ··· − 30u − 1
c
2
u
115
− u
114
+ ··· + 34u − 1
c
3
u
115
+ u
114
+ ··· − 138u + 23
c
4
, c
7
u
115
+ u
114
+ ··· − 541u + 31
c
5
u
115
− 5u
114
+ ··· − 11u + 1
c
6
u
115
− u
114
+ ··· + 48u − 1
c
8
u
115
− 3u
114
+ ··· − 3684u + 691
c
9
u
115
− 7u
114
+ ··· + 2u + 1
c
10
u
115
− u
114
+ ··· + 668365u − 39479
c
11
u
115
+ u
114
+ ··· − 5u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
115
− 15y
114
+ ··· − 10y −1
c
2
y
115
− 9y
114
+ ··· + 20y −1
c
3
y
115
+ 13y
114
+ ··· + 2346y −529
c
4
, c
7
y
115
− 87y
114
+ ··· + 12627y −961
c
5
y
115
− 3y
114
+ ··· + y −1
c
6
y
115
− 31y
114
+ ··· + 416y −1
c
8
y
115
− 31y
114
+ ··· + 17763462y −477481
c
9
y
115
+ 15y
114
+ ··· + 62y −1
c
10
y
115
+ 47y
114
+ ··· − 11408069835y −1558591441
c
11
y
115
− 11y
114
+ ··· + 139y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.991543 + 0.010287I
a = 0.508535 − 0.816617I
b = −0.337478 − 1.075160I
−0.82850 + 3.65420I 0
u = 0.991543 − 0.010287I
a = 0.508535 + 0.816617I
b = −0.337478 + 1.075160I
−0.82850 − 3.65420I 0
u = 0.812804 + 0.602814I
a = 0.505084 − 0.733259I
b = −0.095403 − 0.810136I
−2.33628 + 2.44376I 0
u = 0.812804 − 0.602814I
a = 0.505084 + 0.733259I
b = −0.095403 + 0.810136I
−2.33628 − 2.44376I 0
u = −0.957079 + 0.376972I
a = 1.019680 + 0.078149I
b = −0.996791 + 0.525819I
1.93159 − 0.86279I 0
u = −0.957079 − 0.376972I
a = 1.019680 − 0.078149I
b = −0.996791 − 0.525819I
1.93159 + 0.86279I 0
u = −0.866010 + 0.581201I
a = −0.748848 − 0.422099I
b = −0.1266320 − 0.0106676I
−0.17579 − 2.00781I 0
u = −0.866010 − 0.581201I
a = −0.748848 + 0.422099I
b = −0.1266320 + 0.0106676I
−0.17579 + 2.00781I 0
u = −1.009830 + 0.275630I
a = 2.55989 − 0.05597I
b = −0.110358 + 0.270869I
1.03851 − 9.43459I 0
u = −1.009830 − 0.275630I
a = 2.55989 + 0.05597I
b = −0.110358 − 0.270869I
1.03851 + 9.43459I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.654350 + 0.822893I
a = 0.039752 − 0.837771I
b = 0.364684 − 0.662893I
−1.04548 − 3.54916I 0
u = −0.654350 − 0.822893I
a = 0.039752 + 0.837771I
b = 0.364684 + 0.662893I
−1.04548 + 3.54916I 0
u = 0.854965 + 0.408531I
a = 1.37117 − 0.36061I
b = −0.088123 − 0.474534I
−2.08760 + 1.97298I 0
u = 0.854965 − 0.408531I
a = 1.37117 + 0.36061I
b = −0.088123 + 0.474534I
−2.08760 − 1.97298I 0
u = 0.275294 + 0.889046I
a = 0.698660 + 0.085136I
b = 0.291141 − 0.776126I
−2.19346 − 0.70570I 0
u = 0.275294 − 0.889046I
a = 0.698660 − 0.085136I
b = 0.291141 + 0.776126I
−2.19346 + 0.70570I 0
u = −0.902830 + 0.162857I
a = −2.70664 − 1.47578I
b = 2.25087 + 0.51569I
1.21120 − 2.28663I 0
u = −0.902830 − 0.162857I
a = −2.70664 + 1.47578I
b = 2.25087 − 0.51569I
1.21120 + 2.28663I 0
u = −0.137593 + 1.074430I
a = 0.129795 − 0.128938I
b = −0.653973 + 0.864310I
−0.01097 − 5.35830I 0
u = −0.137593 − 1.074430I
a = 0.129795 + 0.128938I
b = −0.653973 − 0.864310I
−0.01097 + 5.35830I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.308600 + 0.849572I
a = −0.243421 − 0.593944I
b = −0.723220 + 0.939714I
−3.44636 − 5.96058I 0
u = 0.308600 − 0.849572I
a = −0.243421 + 0.593944I
b = −0.723220 − 0.939714I
−3.44636 + 5.96058I 0
u = −0.205734 + 0.872516I
a = 0.452734 + 0.306854I
b = −0.684720 + 0.478049I
1.32811 − 1.88479I 0
u = −0.205734 − 0.872516I
a = 0.452734 − 0.306854I
b = −0.684720 − 0.478049I
1.32811 + 1.88479I 0
u = −1.101040 + 0.131905I
a = −0.65244 − 1.83895I
b = 0.54445 + 2.23604I
3.19102 − 0.69517I 0
u = −1.101040 − 0.131905I
a = −0.65244 + 1.83895I
b = 0.54445 − 2.23604I
3.19102 + 0.69517I 0
u = 0.878512 + 0.105130I
a = −1.42337 − 1.48891I
b = 0.364225 + 0.315487I
−0.81168 + 4.16631I 0
u = 0.878512 − 0.105130I
a = −1.42337 + 1.48891I
b = 0.364225 − 0.315487I
−0.81168 − 4.16631I 0
u = −1.112850 + 0.088964I
a = −0.991103 + 0.634057I
b = 0.56594 − 1.81525I
2.21350 − 2.96493I 0
u = −1.112850 − 0.088964I
a = −0.991103 − 0.634057I
b = 0.56594 + 1.81525I
2.21350 + 2.96493I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.043484 + 1.130640I
a = 0.097159 − 0.136223I
b = 0.753283 − 0.768239I
−2.25517 − 5.21998I 0
u = −0.043484 − 1.130640I
a = 0.097159 + 0.136223I
b = 0.753283 + 0.768239I
−2.25517 + 5.21998I 0
u = −1.145370 + 0.066920I
a = −2.32279 − 0.05091I
b = 1.48761 + 0.62226I
4.68691 − 0.65371I 0
u = −1.145370 − 0.066920I
a = −2.32279 + 0.05091I
b = 1.48761 − 0.62226I
4.68691 + 0.65371I 0
u = −1.159990 + 0.027616I
a = 1.68922 + 0.83836I
b = −1.84593 − 1.40888I
2.47728 − 1.43112I 0
u = −1.159990 − 0.027616I
a = 1.68922 − 0.83836I
b = −1.84593 + 1.40888I
2.47728 + 1.43112I 0
u = 1.099630 + 0.379841I
a = 1.254640 − 0.178507I
b = −0.859565 − 1.072780I
0.15323 + 5.27402I 0
u = 1.099630 − 0.379841I
a = 1.254640 + 0.178507I
b = −0.859565 + 1.072780I
0.15323 − 5.27402I 0
u = 0.136316 + 1.159060I
a = −0.0827424 + 0.0263967I
b = 0.761399 + 0.913229I
−1.25637 + 13.65460I 0
u = 0.136316 − 1.159060I
a = −0.0827424 − 0.0263967I
b = 0.761399 − 0.913229I
−1.25637 − 13.65460I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.185510 + 0.058803I
a = 2.12111 + 0.99670I
b = −0.783967 + 0.535692I
3.53135 − 8.33125I 0
u = −1.185510 − 0.058803I
a = 2.12111 − 0.99670I
b = −0.783967 − 0.535692I
3.53135 + 8.33125I 0
u = 0.400510 + 0.699214I
a = 0.061836 − 0.296246I
b = −0.615551 − 1.062410I
−1.19029 + 5.19950I 0
u = 0.400510 − 0.699214I
a = 0.061836 + 0.296246I
b = −0.615551 + 1.062410I
−1.19029 − 5.19950I 0
u = 1.116430 + 0.425627I
a = −1.84195 − 0.13099I
b = 1.47207 + 1.13804I
−0.92457 + 10.59060I 0
u = 1.116430 − 0.425627I
a = −1.84195 + 0.13099I
b = 1.47207 − 1.13804I
−0.92457 − 10.59060I 0
u = 1.204520 + 0.150017I
a = 1.70724 − 0.88360I
b = −1.76915 + 1.28045I
3.91673 + 9.84311I 0
u = 1.204520 − 0.150017I
a = 1.70724 + 0.88360I
b = −1.76915 − 1.28045I
3.91673 − 9.84311I 0
u = −1.164230 + 0.361655I
a = 1.81924 − 0.40452I
b = −1.19638 + 1.09636I
−1.57902 − 1.36888I 0
u = −1.164230 − 0.361655I
a = 1.81924 + 0.40452I
b = −1.19638 − 1.09636I
−1.57902 + 1.36888I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.218180 + 0.162040I
a = −1.263140 − 0.379164I
b = 0.689860 − 0.298689I
4.77314 + 3.86367I 0
u = 1.218180 − 0.162040I
a = −1.263140 + 0.379164I
b = 0.689860 + 0.298689I
4.77314 − 3.86367I 0
u = 1.179790 + 0.359556I
a = 1.94816 − 0.11768I
b = −1.004010 − 0.898568I
0.14146 + 6.51555I 0
u = 1.179790 − 0.359556I
a = 1.94816 + 0.11768I
b = −1.004010 + 0.898568I
0.14146 − 6.51555I 0
u = 0.368048 + 1.182950I
a = 0.098770 − 0.132081I
b = −0.371732 − 0.850389I
−2.85359 + 3.71553I 0
u = 0.368048 − 1.182950I
a = 0.098770 + 0.132081I
b = −0.371732 + 0.850389I
−2.85359 − 3.71553I 0
u = 1.239750 + 0.145734I
a = −0.015726 − 0.918072I
b = −0.155319 − 0.394215I
5.14620 + 4.26050I 0
u = 1.239750 − 0.145734I
a = −0.015726 + 0.918072I
b = −0.155319 + 0.394215I
5.14620 − 4.26050I 0
u = 0.170606 + 0.730612I
a = 0.100838 − 0.379374I
b = 0.694941 − 0.936816I
−2.95739 − 2.49453I 0
u = 0.170606 − 0.730612I
a = 0.100838 + 0.379374I
b = 0.694941 + 0.936816I
−2.95739 + 2.49453I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.252020 + 0.015728I
a = −1.97667 + 0.05393I
b = 1.360930 + 0.378905I
6.73188 + 0.04543I 0
u = 1.252020 − 0.015728I
a = −1.97667 − 0.05393I
b = 1.360930 − 0.378905I
6.73188 − 0.04543I 0
u = 1.25526
a = −2.19495
b = 1.39740
6.77454 0
u = −0.173211 + 0.719426I
a = 0.170773 − 0.240816I
b = 0.447674 + 1.153010I
−4.61264 − 2.63225I 0
u = −0.173211 − 0.719426I
a = 0.170773 + 0.240816I
b = 0.447674 − 1.153010I
−4.61264 + 2.63225I 0
u = −1.28103
a = 1.09824
b = −1.22172
2.35388 0
u = −0.475295 + 0.537559I
a = −0.52869 + 1.58421I
b = 0.073938 + 0.877843I
−0.40050 + 6.08485I 0
u = −0.475295 − 0.537559I
a = −0.52869 − 1.58421I
b = 0.073938 − 0.877843I
−0.40050 − 6.08485I 0
u = 0.095002 + 1.282770I
a = −0.029256 + 0.145340I
b = 0.662463 − 0.011705I
2.71246 − 4.38038I 0
u = 0.095002 − 1.282770I
a = −0.029256 − 0.145340I
b = 0.662463 + 0.011705I
2.71246 + 4.38038I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.325480 + 0.048077I
a = 0.748840 + 0.692478I
b = −0.70013 − 1.55459I
5.74046 + 5.29797I 0
u = 1.325480 − 0.048077I
a = 0.748840 − 0.692478I
b = −0.70013 + 1.55459I
5.74046 − 5.29797I 0
u = −1.401880 + 0.095370I
a = −0.756643 + 0.586194I
b = 0.305149 − 0.027577I
3.62089 − 3.05575I 0
u = −1.401880 − 0.095370I
a = −0.756643 − 0.586194I
b = 0.305149 + 0.027577I
3.62089 + 3.05575I 0
u = 1.333280 + 0.452494I
a = −1.46579 + 0.29862I
b = 0.927646 + 0.745070I
5.87061 + 6.65094I 0
u = 1.333280 − 0.452494I
a = −1.46579 − 0.29862I
b = 0.927646 − 0.745070I
5.87061 − 6.65094I 0
u = −1.336940 + 0.450295I
a = 0.706402 + 0.191056I
b = −0.907202 + 0.163508I
2.46916 − 0.63828I 0
u = −1.336940 − 0.450295I
a = 0.706402 − 0.191056I
b = −0.907202 − 0.163508I
2.46916 + 0.63828I 0
u = 1.38981 + 0.31379I
a = −1.398940 − 0.174433I
b = 1.172570 + 0.515523I
5.68827 + 4.71363I 0
u = 1.38981 − 0.31379I
a = −1.398940 + 0.174433I
b = 1.172570 − 0.515523I
5.68827 − 4.71363I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.37435 + 0.51642I
a = 1.43016 − 0.01595I
b = −1.15763 − 1.15861I
2.21036 + 10.96440I 0
u = 1.37435 − 0.51642I
a = 1.43016 + 0.01595I
b = −1.15763 + 1.15861I
2.21036 − 10.96440I 0
u = 1.39263 + 0.48528I
a = −1.59503 − 0.15077I
b = 1.21931 + 1.04755I
4.76522 + 10.84950I 0
u = 1.39263 − 0.48528I
a = −1.59503 + 0.15077I
b = 1.21931 − 1.04755I
4.76522 − 10.84950I 0
u = −0.132701 + 0.504914I
a = 1.117730 − 0.359506I
b = −0.307263 + 0.660011I
0.65057 − 1.66192I 4.17531 + 3.71899I
u = −0.132701 − 0.504914I
a = 1.117730 + 0.359506I
b = −0.307263 − 0.660011I
0.65057 + 1.66192I 4.17531 − 3.71899I
u = −1.43357 + 0.36225I
a = −1.52335 + 0.42430I
b = 1.15823 − 1.30675I
4.53607 − 9.28091I 0
u = −1.43357 − 0.36225I
a = −1.52335 − 0.42430I
b = 1.15823 + 1.30675I
4.53607 + 9.28091I 0
u = −1.42625 + 0.46282I
a = 1.133850 + 0.182957I
b = −1.058260 + 0.748272I
7.89743 − 1.46963I 0
u = −1.42625 − 0.46282I
a = 1.133850 − 0.182957I
b = −1.058260 − 0.748272I
7.89743 + 1.46963I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.41708 + 0.51645I
a = 1.53423 − 0.09030I
b = −1.18740 + 1.17699I
3.6022 − 19.5158I 0
u = −1.41708 − 0.51645I
a = 1.53423 + 0.09030I
b = −1.18740 − 1.17699I
3.6022 + 19.5158I 0
u = 1.40857 + 0.55453I
a = 1.167640 − 0.205715I
b = −1.230240 − 0.603659I
7.15825 + 10.74020I 0
u = 1.40857 − 0.55453I
a = 1.167640 + 0.205715I
b = −1.230240 + 0.603659I
7.15825 − 10.74020I 0
u = 0.332655 + 0.287893I
a = 2.10614 + 0.19549I
b = 0.535927 − 0.169901I
−1.40763 − 1.80669I −0.93148 + 2.38476I
u = 0.332655 − 0.287893I
a = 2.10614 − 0.19549I
b = 0.535927 + 0.169901I
−1.40763 + 1.80669I −0.93148 − 2.38476I
u = −0.289404 + 0.327405I
a = 0.63999 − 2.61107I
b = 0.545394 + 0.616079I
0.83299 − 2.49990I −0.635583 − 0.016341I
u = −0.289404 − 0.327405I
a = 0.63999 + 2.61107I
b = 0.545394 − 0.616079I
0.83299 + 2.49990I −0.635583 + 0.016341I
u = −1.48251 + 0.51613I
a = −1.161050 + 0.188304I
b = 0.85486 − 1.15512I
2.79562 − 9.72471I 0
u = −1.48251 − 0.51613I
a = −1.161050 − 0.188304I
b = 0.85486 + 1.15512I
2.79562 + 9.72471I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.43586 + 0.64102I
a = −0.833352 − 0.250541I
b = 0.785988 − 0.142952I
4.41478 − 4.49926I 0
u = −1.43586 − 0.64102I
a = −0.833352 + 0.250541I
b = 0.785988 + 0.142952I
4.41478 + 4.49926I 0
u = −0.415759 + 0.020992I
a = −0.98873 − 2.31450I
b = −0.428334 + 0.697019I
0.24998 − 2.12560I 7.44801 + 3.30216I
u = −0.415759 − 0.020992I
a = −0.98873 + 2.31450I
b = −0.428334 − 0.697019I
0.24998 + 2.12560I 7.44801 − 3.30216I
u = −1.52092 + 0.64336I
a = −0.307608 − 0.253417I
b = 0.363826 − 0.113876I
3.70044 − 1.22861I 0
u = −1.52092 − 0.64336I
a = −0.307608 + 0.253417I
b = 0.363826 + 0.113876I
3.70044 + 1.22861I 0
u = −0.299694
a = 1.85828
b = −1.29376
2.29026 25.4750
u = 1.66955 + 0.33485I
a = −0.394656 − 0.458381I
b = 0.308345 + 0.709533I
1.36802 + 5.96391I 0
u = 1.66955 − 0.33485I
a = −0.394656 + 0.458381I
b = 0.308345 − 0.709533I
1.36802 − 5.96391I 0
u = −0.266690 + 0.046449I
a = 1.34337 − 1.05353I
b = −1.142450 + 0.020598I
2.28848 + 0.02392I 17.2666 + 1.1883I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.266690 − 0.046449I
a = 1.34337 + 1.05353I
b = −1.142450 − 0.020598I
2.28848 − 0.02392I 17.2666 − 1.1883I
u = −0.042104 + 0.186487I
a = −2.94551 + 5.69376I
b = 1.029660 + 0.237025I
0.32279 − 8.28648I 2.15800 + 6.43851I
u = −0.042104 − 0.186487I
a = −2.94551 − 5.69376I
b = 1.029660 − 0.237025I
0.32279 + 8.28648I 2.15800 − 6.43851I
u = 1.72997 + 0.85271I
a = 0.146912 − 0.203346I
b = −0.396146 + 0.098098I
2.59067 − 6.42913I 0
u = 1.72997 − 0.85271I
a = 0.146912 + 0.203346I
b = −0.396146 − 0.098098I
2.59067 + 6.42913I 0
16
II.
I
u
2
= h−8.62 × 10
5
u
19
− 1.48 × 10
7
u
18
+ · · · + 2.11 × 10
7
b + 2.93 × 10
7
, 1.72 ×
10
7
u
19
+6.80×10
7
u
18
+· · · +2.11×10
7
a−8.49×10
7
, u
20
+2u
19
+· · · +9u −1i
(i) Arc colorings
a
4
=
0
u
a
7
=
1
0
a
8
=
1
−u
2
a
5
=
u
−u
3
+ u
a
11
=
−0.814481u
19
− 3.22112u
18
+ ··· + 5.54281u + 4.01904
0.0408023u
19
+ 0.702671u
18
+ ··· − 0.875885u − 1.38804
a
9
=
1.58372u
19
+ 3.50600u
18
+ ··· − 10.4039u + 8.22100
−0.574978u
19
− 1.06813u
18
+ ··· + 8.33960u − 3.10784
a
1
=
−0.773679u
19
− 2.51844u
18
+ ··· + 4.66693u + 2.63101
0.0408023u
19
+ 0.702671u
18
+ ··· − 0.875885u − 1.38804
a
3
=
0.504514u
19
+ 0.149982u
18
+ ··· − 8.64873u + 2.88952
0.536871u
19
+ 1.75347u
18
+ ··· − 7.85110u + 0.530034
a
2
=
−2.67442u
19
− 5.56455u
18
+ ··· + 17.0270u − 5.27925
0.557850u
19
+ 1.38250u
18
+ ··· − 0.791952u + 0.864413
a
6
=
1.57572u
19
+ 4.59178u
18
+ ··· − 35.5101u + 6.20881
−1.52561u
19
− 4.68418u
18
+ ··· + 16.5931u − 2.25081
a
10
=
0.166706u
19
− 0.533248u
18
+ ··· − 3.17854u + 5.03093
0.651144u
19
+ 2.18054u
18
+ ··· − 4.04899u − 1.10164
a
10
=
0.166706u
19
− 0.533248u
18
+ ··· − 3.17854u + 5.03093
0.651144u
19
+ 2.18054u
18
+ ··· − 4.04899u − 1.10164
(ii) Obstruction class = 1
(iii) Cusp Shapes =
244096937
21120991
u
19
+
895901398
21120991
u
18
+ ··· −
1690365755
21120991
u −
346104631
21120991
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
20
− 6u
19
+ ··· + 2u + 1
c
2
u
20
− 6u
18
+ ··· + 6u + 1
c
3
u
20
+ 4u
19
+ ··· + 2u + 1
c
4
u
20
− 2u
19
+ ··· − 9u − 1
c
5
u
20
− 2u
19
+ ··· − u − 1
c
6
u
20
− 2u
19
+ ··· + 8u − 1
c
7
u
20
+ 2u
19
+ ··· + 9u − 1
c
8
u
20
+ 6u
19
+ ··· − 7u
2
+ 1
c
9
u
20
− 2u
19
+ ··· + 4u − 1
c
10
u
20
− 4u
19
+ ··· − 3u + 1
c
11
u
20
− 2u
19
+ ··· − 5u − 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
20
− 14y
19
+ ··· − 14y + 1
c
2
y
20
− 12y
19
+ ··· + 20y + 1
c
3
y
20
− 2y
19
+ ··· + 6y + 1
c
4
, c
7
y
20
− 18y
19
+ ··· − 55y + 1
c
5
y
20
+ 10y
19
+ ··· − 5y + 1
c
6
y
20
− 2y
19
+ ··· − 28y + 1
c
8
y
20
− 14y
19
+ ··· − 14y + 1
c
9
y
20
+ 4y
19
+ ··· − 6y + 1
c
10
y
20
+ 8y
19
+ ··· − 13y + 1
c
11
y
20
− 6y
19
+ ··· − 3y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.692160 + 0.744150I
a = −0.320459 − 0.958960I
b = 0.168384 − 0.744408I
−1.65711 − 2.96061I −0.71565 + 3.69109I
u = −0.692160 − 0.744150I
a = −0.320459 + 0.958960I
b = 0.168384 + 0.744408I
−1.65711 + 2.96061I −0.71565 − 3.69109I
u = 0.266975 + 0.940111I
a = −0.089914 − 0.224193I
b = −0.592240 − 0.859363I
−1.74507 + 4.46508I 0.88102 − 6.28026I
u = 0.266975 − 0.940111I
a = −0.089914 + 0.224193I
b = −0.592240 + 0.859363I
−1.74507 − 4.46508I 0.88102 + 6.28026I
u = −1.032290 + 0.211816I
a = 2.61241 + 0.75146I
b = −0.983800 + 0.054775I
1.83617 − 9.14635I 7.52738 + 8.39852I
u = −1.032290 − 0.211816I
a = 2.61241 − 0.75146I
b = −0.983800 − 0.054775I
1.83617 + 9.14635I 7.52738 − 8.39852I
u = 0.841202 + 0.152388I
a = 2.30275 − 1.93152I
b = −1.85553 + 0.89229I
1.17521 + 2.23291I 3.6997 + 58.8725I
u = 0.841202 − 0.152388I
a = 2.30275 + 1.93152I
b = −1.85553 − 0.89229I
1.17521 − 2.23291I 3.6997 − 58.8725I
u = 1.197550 + 0.212204I
a = −0.385430 + 0.955805I
b = 0.375917 − 1.294880I
2.99506 + 0.84547I 1.193245 + 0.488606I
u = 1.197550 − 0.212204I
a = −0.385430 − 0.955805I
b = 0.375917 + 1.294880I
2.99506 − 0.84547I 1.193245 − 0.488606I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.24034
a = −2.59197
b = 1.57569
6.02419 7.53740
u = 0.496142 + 0.296522I
a = −0.82750 − 1.70962I
b = −0.263211 − 0.847689I
−2.17976 + 4.02285I −4.59414 − 6.39414I
u = 0.496142 − 0.296522I
a = −0.82750 + 1.70962I
b = −0.263211 + 0.847689I
−2.17976 − 4.02285I −4.59414 + 6.39414I
u = −1.43906 + 0.45488I
a = −1.347880 + 0.251762I
b = 1.04685 − 1.17699I
3.60701 − 9.54940I 5.95378 + 8.39911I
u = −1.43906 − 0.45488I
a = −1.347880 − 0.251762I
b = 1.04685 + 1.17699I
3.60701 + 9.54940I 5.95378 − 8.39911I
u = 1.44669 + 0.50300I
a = −0.939535 + 0.106336I
b = 0.793347 + 0.205450I
4.37235 + 4.19669I 8.95096 + 4.21528I
u = 1.44669 − 0.50300I
a = −0.939535 − 0.106336I
b = 0.793347 − 0.205450I
4.37235 − 4.19669I 8.95096 − 4.21528I
u = −1.53866 + 0.46556I
a = 0.168090 + 0.009237I
b = 0.206684 − 0.178005I
2.32723 + 6.31534I −0.90446 − 5.70657I
u = −1.53866 − 0.46556I
a = 0.168090 − 0.009237I
b = 0.206684 + 0.178005I
2.32723 − 6.31534I −0.90446 + 5.70657I
u = 0.147575
a = 4.24690
b = −1.36848
2.12247 −23.5210
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
20
− 6u
19
+ ··· + 2u + 1)(u
115
− 5u
114
+ ··· − 30u − 1)
c
2
(u
20
− 6u
18
+ ··· + 6u + 1)(u
115
− u
114
+ ··· + 34u − 1)
c
3
(u
20
+ 4u
19
+ ··· + 2u + 1)(u
115
+ u
114
+ ··· − 138u + 23)
c
4
(u
20
− 2u
19
+ ··· − 9u − 1)(u
115
+ u
114
+ ··· − 541u + 31)
c
5
(u
20
− 2u
19
+ ··· − u − 1)(u
115
− 5u
114
+ ··· − 11u + 1)
c
6
(u
20
− 2u
19
+ ··· + 8u − 1)(u
115
− u
114
+ ··· + 48u − 1)
c
7
(u
20
+ 2u
19
+ ··· + 9u − 1)(u
115
+ u
114
+ ··· − 541u + 31)
c
8
(u
20
+ 6u
19
+ ··· − 7u
2
+ 1)(u
115
− 3u
114
+ ··· − 3684u + 691)
c
9
(u
20
− 2u
19
+ ··· + 4u − 1)(u
115
− 7u
114
+ ··· + 2u + 1)
c
10
(u
20
− 4u
19
+ ··· − 3u + 1)(u
115
− u
114
+ ··· + 668365u − 39479)
c
11
(u
20
− 2u
19
+ ··· − 5u − 1)(u
115
+ u
114
+ ··· − 5u + 1)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
20
− 14y
19
+ ··· − 14y + 1)(y
115
− 15y
114
+ ··· − 10y −1)
c
2
(y
20
− 12y
19
+ ··· + 20y + 1)(y
115
− 9y
114
+ ··· + 20y −1)
c
3
(y
20
− 2y
19
+ ··· + 6y + 1)(y
115
+ 13y
114
+ ··· + 2346y −529)
c
4
, c
7
(y
20
− 18y
19
+ ··· − 55y + 1)(y
115
− 87y
114
+ ··· + 12627y −961)
c
5
(y
20
+ 10y
19
+ ··· − 5y + 1)(y
115
− 3y
114
+ ··· + y −1)
c
6
(y
20
− 2y
19
+ ··· − 28y + 1)(y
115
− 31y
114
+ ··· + 416y −1)
c
8
(y
20
− 14y
19
+ ··· − 14y + 1)
· (y
115
− 31y
114
+ ··· + 17763462y −477481)
c
9
(y
20
+ 4y
19
+ ··· − 6y + 1)(y
115
+ 15y
114
+ ··· + 62y −1)
c
10
(y
20
+ 8y
19
+ ··· − 13y + 1)
· (y
115
+ 47y
114
+ ··· − 11408069835y −1558591441)
c
11
(y
20
− 6y
19
+ ··· − 3y + 1)(y
115
− 11y
114
+ ··· + 139y −1)
23
