12a
0998
(K12a
0998
)
A knot diagram
1
Linearized knot diagam
4 6 12 8 10 11 2 1 5 3 7 9
Solving Sequence
1,8 5,9
10 6 4 2 7 12 3 11
c
8
c
9
c
5
c
4
c
1
c
7
c
12
c
3
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h9.23532 × 10
824
u
161
− 6.57296 × 10
825
u
160
+ ··· + 3.97408 × 10
825
b + 3.77915 × 10
828
,
8.54087 × 10
826
u
161
+ 2.27504 × 10
828
u
160
+ ··· + 5.48026 × 10
828
a − 3.72721 × 10
831
,
u
162
− 5u
161
+ ··· + 9133u − 1379i
I
u
2
= h1.78669 × 10
27
u
36
+ 1.25651 × 10
26
u
35
+ ··· + 2.72369 × 10
26
b + 1.59434 × 10
27
,
− 4.27607 × 10
26
u
36
− 2.28243 × 10
26
u
35
+ ··· + 9.07896 × 10
25
a − 8.22612 × 10
26
,
u
37
+ 13u
35
+ ··· + 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 199 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
= h9.24 × 10
824
u
161
− 6.57 × 10
825
u
160
+ · · · + 3.97 × 10
825
b + 3.78 ×
10
828
, 8.54 × 10
826
u
161
+ 2.28 × 10
828
u
160
+ · · · + 5.48 × 10
828
a − 3.73 ×
10
831
, u
162
− 5u
161
+ · · · + 9133u − 1379i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
5
=
−0.0155848u
161
− 0.415133u
160
+ ··· − 4034.89u + 680.116
−0.232389u
161
+ 1.65396u
160
+ ··· + 6136.17u − 950.950
a
9
=
1
u
2
a
10
=
0.249366u
161
− 0.732722u
160
+ ··· + 3590.36u − 671.653
0.135745u
161
− 1.05334u
160
+ ··· − 4779.66u + 770.743
a
6
=
−0.0466441u
161
+ 0.613048u
160
+ ··· + 5373.45u − 850.883
0.350662u
161
− 1.95858u
160
+ ··· − 4358.67u + 625.210
a
4
=
−0.247974u
161
+ 1.23882u
160
+ ··· + 2101.28u − 270.834
−0.232389u
161
+ 1.65396u
160
+ ··· + 6136.17u − 950.950
a
2
=
0.00569413u
161
+ 0.433509u
160
+ ··· + 4147.58u − 695.597
0.152721u
161
− 0.692554u
160
+ ··· − 352.971u + 8.02221
a
7
=
−0.998800u
161
+ 4.54500u
160
+ ··· + 1553.00u + 63.4474
−0.398050u
161
+ 2.01079u
160
+ ··· + 2899.90u − 364.505
a
12
=
u
u
3
+ u
a
3
=
0.0423463u
161
− 0.419826u
160
+ ··· − 1724.26u + 272.260
−0.244538u
161
+ 1.52800u
160
+ ··· + 4601.97u − 693.378
a
11
=
0.813964u
161
− 3.50192u
160
+ ··· + 875.215u − 366.609
0.153738u
161
− 0.776005u
160
+ ··· − 978.802u + 117.885
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.322129u
161
+ 0.340512u
160
+ ··· − 12922.8u + 2312.72
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
162
+ 10u
161
+ ··· + 154u − 7
c
2
u
162
+ 8u
160
+ ··· − 20u + 1
c
3
u
162
− 2u
161
+ ··· + 7626293679u + 965121761
c
4
u
162
+ 7u
161
+ ··· + 31u − 1
c
5
, c
9
u
162
− 3u
161
+ ··· + 6218386u − 528361
c
6
, c
11
u
162
− 51u
160
+ ··· + 1717u + 437
c
7
u
162
+ u
161
+ ··· − 6589604478u − 630454121
c
8
, c
12
u
162
+ 5u
161
+ ··· − 9133u − 1379
c
10
u
162
− 2u
161
+ ··· + 123u − 7
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
162
+ 4y
161
+ ··· − 4116y + 49
c
2
y
162
+ 16y
161
+ ··· − 190y + 1
c
3
y
162
− 54y
161
+ ··· − 2.99 × 10
18
y + 9.31 × 10
17
c
4
y
162
− 13y
161
+ ··· − 17y + 1
c
5
, c
9
y
162
− 131y
161
+ ··· − 29177786074y + 279165346321
c
6
, c
11
y
162
− 102y
161
+ ··· − 3102787y + 190969
c
7
y
162
+ 73y
161
+ ··· + 2.01 × 10
19
y + 3.97 × 10
17
c
8
, c
12
y
162
+ 97y
161
+ ··· − 11736785y + 1901641
c
10
y
162
− 6y
161
+ ··· − 5063y + 49
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.364438 + 0.934578I
a = 0.86922 − 1.96405I
b = −0.332857 + 0.194362I
−5.55873 + 5.66135I 0
u = −0.364438 − 0.934578I
a = 0.86922 + 1.96405I
b = −0.332857 − 0.194362I
−5.55873 − 5.66135I 0
u = −0.072129 + 1.027860I
a = −0.636429 − 0.480890I
b = −0.172441 + 0.679991I
2.29357 − 2.45523I 0
u = −0.072129 − 1.027860I
a = −0.636429 + 0.480890I
b = −0.172441 − 0.679991I
2.29357 + 2.45523I 0
u = 0.470589 + 0.920034I
a = −0.07190 − 2.12268I
b = 0.76812 + 1.60658I
−0.83623 − 4.97202I 0
u = 0.470589 − 0.920034I
a = −0.07190 + 2.12268I
b = 0.76812 − 1.60658I
−0.83623 + 4.97202I 0
u = 0.220408 + 1.010250I
a = −0.400546 − 1.323730I
b = −0.315050 + 1.042240I
1.89460 − 2.94833I 0
u = 0.220408 − 1.010250I
a = −0.400546 + 1.323730I
b = −0.315050 − 1.042240I
1.89460 + 2.94833I 0
u = 0.450212 + 0.931702I
a = −0.54552 − 1.99644I
b = 0.543613 + 0.211021I
−2.71791 − 11.48510I 0
u = 0.450212 − 0.931702I
a = −0.54552 + 1.99644I
b = 0.543613 − 0.211021I
−2.71791 + 11.48510I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.824197 + 0.640695I
a = 0.172573 − 0.338696I
b = 1.034890 − 0.230430I
−3.03988 + 5.26417I 0
u = −0.824197 − 0.640695I
a = 0.172573 + 0.338696I
b = 1.034890 + 0.230430I
−3.03988 − 5.26417I 0
u = 0.372414 + 0.877222I
a = 1.16096 + 1.73885I
b = −0.756263 − 0.088084I
−2.88184 + 0.92994I 0
u = 0.372414 − 0.877222I
a = 1.16096 − 1.73885I
b = −0.756263 + 0.088084I
−2.88184 − 0.92994I 0
u = −0.311668 + 0.895614I
a = −0.44991 + 2.51594I
b = 0.511881 − 1.204870I
−3.42601 + 1.93989I 0
u = −0.311668 − 0.895614I
a = −0.44991 − 2.51594I
b = 0.511881 + 1.204870I
−3.42601 − 1.93989I 0
u = 0.214606 + 0.921083I
a = −1.86429 + 1.76707I
b = 2.18602 − 1.91828I
−1.34785 − 9.76566I 0
u = 0.214606 − 0.921083I
a = −1.86429 − 1.76707I
b = 2.18602 + 1.91828I
−1.34785 + 9.76566I 0
u = 0.363781 + 0.994655I
a = −0.595660 − 0.023343I
b = 0.831366 − 0.015985I
−0.62485 − 1.65369I 0
u = 0.363781 − 0.994655I
a = −0.595660 + 0.023343I
b = 0.831366 + 0.015985I
−0.62485 + 1.65369I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.310080 + 0.888024I
a = 0.36728 − 2.88425I
b = −0.65828 + 2.02432I
−5.38995 − 1.50217I 0
u = −0.310080 − 0.888024I
a = 0.36728 + 2.88425I
b = −0.65828 − 2.02432I
−5.38995 + 1.50217I 0
u = −0.391447 + 0.847504I
a = −0.66560 + 2.24197I
b = 0.713508 − 0.549552I
−3.89774 + 1.76552I 0
u = −0.391447 − 0.847504I
a = −0.66560 − 2.24197I
b = 0.713508 + 0.549552I
−3.89774 − 1.76552I 0
u = −0.912869 + 0.183465I
a = −0.0037704 + 0.1269540I
b = −0.284123 + 0.658858I
3.84065 − 1.36973I 0
u = −0.912869 − 0.183465I
a = −0.0037704 − 0.1269540I
b = −0.284123 − 0.658858I
3.84065 + 1.36973I 0
u = −0.970833 + 0.477295I
a = −0.693410 + 0.238527I
b = 0.997093 + 0.943625I
−3.86036 − 4.39205I 0
u = −0.970833 − 0.477295I
a = −0.693410 − 0.238527I
b = 0.997093 − 0.943625I
−3.86036 + 4.39205I 0
u = −0.393745 + 1.010210I
a = 0.42093 + 1.42013I
b = 0.963756 − 0.962346I
0.77778 + 4.28953I 0
u = −0.393745 − 1.010210I
a = 0.42093 − 1.42013I
b = 0.963756 + 0.962346I
0.77778 − 4.28953I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.320600 + 1.041220I
a = −0.67910 − 1.50315I
b = −0.711051 + 0.543143I
3.13808 − 1.44812I 0
u = −0.320600 − 1.041220I
a = −0.67910 + 1.50315I
b = −0.711051 − 0.543143I
3.13808 + 1.44812I 0
u = −0.116410 + 0.898199I
a = 0.29642 + 2.39237I
b = 0.578282 − 1.155400I
0.46297 + 3.03319I 0
u = −0.116410 − 0.898199I
a = 0.29642 − 2.39237I
b = 0.578282 + 1.155400I
0.46297 − 3.03319I 0
u = 0.097092 + 0.897734I
a = 0.27466 + 2.05124I
b = 0.88611 − 1.15198I
1.19045 + 1.64565I 0
u = 0.097092 − 0.897734I
a = 0.27466 − 2.05124I
b = 0.88611 + 1.15198I
1.19045 − 1.64565I 0
u = −0.891860 + 0.064694I
a = −0.428218 − 0.116662I
b = −0.678883 + 0.845513I
0.89156 + 9.33028I 0
u = −0.891860 − 0.064694I
a = −0.428218 + 0.116662I
b = −0.678883 − 0.845513I
0.89156 − 9.33028I 0
u = 0.786309 + 0.411248I
a = −0.049283 + 0.540545I
b = −0.403456 + 0.692027I
0.10597 + 2.26797I 0
u = 0.786309 − 0.411248I
a = −0.049283 − 0.540545I
b = −0.403456 − 0.692027I
0.10597 − 2.26797I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.163941 + 1.106140I
a = −0.357828 − 1.230940I
b = −0.474645 + 0.827331I
3.48167 − 0.20197I 0
u = −0.163941 − 1.106140I
a = −0.357828 + 1.230940I
b = −0.474645 − 0.827331I
3.48167 + 0.20197I 0
u = 0.243873 + 0.840752I
a = −0.51667 − 3.11789I
b = 0.44313 + 1.99332I
−1.54021 + 7.62998I 0
u = 0.243873 − 0.840752I
a = −0.51667 + 3.11789I
b = 0.44313 − 1.99332I
−1.54021 − 7.62998I 0
u = 0.232019 + 0.837153I
a = 0.047617 + 0.530137I
b = −1.71465 − 0.17854I
−3.26228 − 3.63513I 0
u = 0.232019 − 0.837153I
a = 0.047617 − 0.530137I
b = −1.71465 + 0.17854I
−3.26228 + 3.63513I 0
u = 0.266581 + 1.102810I
a = 1.10999 − 1.34708I
b = 0.714540 + 0.568665I
2.99165 − 5.15780I 0
u = 0.266581 − 1.102810I
a = 1.10999 + 1.34708I
b = 0.714540 − 0.568665I
2.99165 + 5.15780I 0
u = −0.606113 + 0.609465I
a = 0.45906 + 1.60732I
b = 0.0757464 − 0.0929989I
−3.06934 + 0.21594I 0
u = −0.606113 − 0.609465I
a = 0.45906 − 1.60732I
b = 0.0757464 + 0.0929989I
−3.06934 − 0.21594I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.344061 + 0.785259I
a = −0.219841 − 0.017551I
b = 1.52017 + 0.23677I
−4.13877 + 1.49546I 0
u = −0.344061 − 0.785259I
a = −0.219841 + 0.017551I
b = 1.52017 − 0.23677I
−4.13877 − 1.49546I 0
u = 0.377243 + 1.079690I
a = 0.66964 + 2.29990I
b = −1.31043 − 1.54420I
−2.68655 − 6.47774I 0
u = 0.377243 − 1.079690I
a = 0.66964 − 2.29990I
b = −1.31043 + 1.54420I
−2.68655 + 6.47774I 0
u = 0.661510 + 0.937882I
a = 0.120789 + 1.176160I
b = −0.386487 − 0.072293I
−3.11658 − 2.42529I 0
u = 0.661510 − 0.937882I
a = 0.120789 − 1.176160I
b = −0.386487 + 0.072293I
−3.11658 + 2.42529I 0
u = 0.771181 + 0.329252I
a = −1.015280 − 0.069156I
b = 1.010490 − 0.465741I
−2.43641 + 0.42484I 0
u = 0.771181 − 0.329252I
a = −1.015280 + 0.069156I
b = 1.010490 + 0.465741I
−2.43641 − 0.42484I 0
u = 1.157130 + 0.107211I
a = −0.388259 + 0.150849I
b = 0.978873 − 0.510007I
−3.90579 + 1.42576I 0
u = 1.157130 − 0.107211I
a = −0.388259 − 0.150849I
b = 0.978873 + 0.510007I
−3.90579 − 1.42576I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.806838 + 0.159092I
a = 0.406641 − 0.555858I
b = 0.749684 + 0.808394I
−2.92159 − 2.82949I 0
u = 0.806838 − 0.159092I
a = 0.406641 + 0.555858I
b = 0.749684 − 0.808394I
−2.92159 + 2.82949I 0
u = 0.164300 + 1.166300I
a = 0.40487 + 1.53897I
b = −1.31111 − 1.24487I
6.61795 − 5.56113I 0
u = 0.164300 − 1.166300I
a = 0.40487 − 1.53897I
b = −1.31111 + 1.24487I
6.61795 + 5.56113I 0
u = −0.229741 + 1.168240I
a = 1.073950 + 0.359029I
b = −1.42203 − 0.52963I
3.78599 + 6.86988I 0
u = −0.229741 − 1.168240I
a = 1.073950 − 0.359029I
b = −1.42203 + 0.52963I
3.78599 − 6.86988I 0
u = 0.209152 + 1.172510I
a = 0.546711 − 1.069460I
b = 0.682784 + 0.910734I
7.21378 + 2.63594I 0
u = 0.209152 − 1.172510I
a = 0.546711 + 1.069460I
b = 0.682784 − 0.910734I
7.21378 − 2.63594I 0
u = 0.534017 + 1.065840I
a = −0.532712 + 1.085270I
b = −0.898208 − 0.947645I
2.08854 − 7.19173I 0
u = 0.534017 − 1.065840I
a = −0.532712 − 1.085270I
b = −0.898208 + 0.947645I
2.08854 + 7.19173I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.186720 + 0.130375I
a = 0.122739 − 0.267315I
b = −1.031870 − 0.353936I
−5.55147 − 3.48791I 0
u = 1.186720 − 0.130375I
a = 0.122739 + 0.267315I
b = −1.031870 + 0.353936I
−5.55147 + 3.48791I 0
u = 0.699594 + 0.389663I
a = 0.734219 + 0.561172I
b = −1.39063 + 0.71130I
−5.24687 + 2.56948I 0
u = 0.699594 − 0.389663I
a = 0.734219 − 0.561172I
b = −1.39063 − 0.71130I
−5.24687 − 2.56948I 0
u = −0.205139 + 0.765278I
a = 2.35615 + 0.84988I
b = −2.40542 − 1.00145I
−5.94594 + 4.08185I 0
u = −0.205139 − 0.765278I
a = 2.35615 − 0.84988I
b = −2.40542 + 1.00145I
−5.94594 − 4.08185I 0
u = −1.191480 + 0.201121I
a = 0.357582 − 0.038222I
b = −0.989193 − 0.638748I
−8.68398 − 7.97867I 0
u = −1.191480 − 0.201121I
a = 0.357582 + 0.038222I
b = −0.989193 + 0.638748I
−8.68398 + 7.97867I 0
u = −0.574892 + 0.538574I
a = −0.049805 + 0.670653I
b = 0.581537 + 0.538844I
−0.564082 − 0.508237I 0
u = −0.574892 − 0.538574I
a = −0.049805 − 0.670653I
b = 0.581537 − 0.538844I
−0.564082 + 0.508237I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.517573 + 0.589444I
a = 0.528011 + 0.361764I
b = 1.286560 − 0.073312I
−3.71324 + 7.51749I 0
u = 0.517573 − 0.589444I
a = 0.528011 − 0.361764I
b = 1.286560 + 0.073312I
−3.71324 − 7.51749I 0
u = −0.267810 + 0.736990I
a = −1.103070 − 0.401870I
b = 1.73016 + 0.75060I
−3.97022 + 0.82701I 0
u = −0.267810 − 0.736990I
a = −1.103070 + 0.401870I
b = 1.73016 − 0.75060I
−3.97022 − 0.82701I 0
u = 0.768778
a = −0.651744
b = 0.848211
−2.34602 0
u = 1.220030 + 0.201057I
a = −0.355676 − 0.095655I
b = 0.973679 − 0.700983I
−4.6749 + 13.9821I 0
u = 1.220030 − 0.201057I
a = −0.355676 + 0.095655I
b = 0.973679 + 0.700983I
−4.6749 − 13.9821I 0
u = 0.119079 + 1.248970I
a = 0.046518 − 1.260750I
b = 0.288159 + 1.223160I
5.76699 − 0.13761I 0
u = 0.119079 − 1.248970I
a = 0.046518 + 1.260750I
b = 0.288159 − 1.223160I
5.76699 + 0.13761I 0
u = 0.015363 + 0.744446I
a = −0.68018 − 3.03958I
b = −0.0651071 − 0.0587446I
1.16480 + 3.56817I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.015363 − 0.744446I
a = −0.68018 + 3.03958I
b = −0.0651071 + 0.0587446I
1.16480 − 3.56817I 0
u = 0.451879 + 1.177700I
a = −0.160243 + 0.918075I
b = −0.955567 − 0.566284I
1.42035 − 4.28275I 0
u = 0.451879 − 1.177700I
a = −0.160243 − 0.918075I
b = −0.955567 + 0.566284I
1.42035 + 4.28275I 0
u = −0.405379 + 1.213330I
a = −0.005210 + 1.060340I
b = 1.23613 − 0.72021I
2.42413 + 6.61656I 0
u = −0.405379 − 1.213330I
a = −0.005210 − 1.060340I
b = 1.23613 + 0.72021I
2.42413 − 6.61656I 0
u = 0.232500 + 1.263780I
a = −0.795764 + 0.021249I
b = −0.175320 − 0.007922I
2.99505 − 2.82754I 0
u = 0.232500 − 1.263780I
a = −0.795764 − 0.021249I
b = −0.175320 + 0.007922I
2.99505 + 2.82754I 0
u = 0.458145 + 1.205510I
a = −0.225543 − 1.361610I
b = 0.632795 + 1.068440I
1.19269 − 4.38789I 0
u = 0.458145 − 1.205510I
a = −0.225543 + 1.361610I
b = 0.632795 − 1.068440I
1.19269 + 4.38789I 0
u = 0.355653 + 1.242190I
a = −0.271384 + 0.724896I
b = −0.436091 − 0.372334I
1.90326 − 3.46781I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.355653 − 1.242190I
a = −0.271384 − 0.724896I
b = −0.436091 + 0.372334I
1.90326 + 3.46781I 0
u = −0.297337 + 0.639542I
a = −0.885418 + 0.534884I
b = −1.199570 − 0.095345I
−6.51120 − 2.54569I 0
u = −0.297337 − 0.639542I
a = −0.885418 − 0.534884I
b = −1.199570 + 0.095345I
−6.51120 + 2.54569I 0
u = 0.972236 + 0.857350I
a = 0.639413 − 0.578890I
b = −0.050352 + 1.081050I
1.64760 + 3.82927I 0
u = 0.972236 − 0.857350I
a = 0.639413 + 0.578890I
b = −0.050352 − 1.081050I
1.64760 − 3.82927I 0
u = 0.547963 + 1.186880I
a = 0.26683 + 1.76222I
b = −1.33264 − 1.34488I
−2.63927 − 7.45734I 0
u = 0.547963 − 1.186880I
a = 0.26683 − 1.76222I
b = −1.33264 + 1.34488I
−2.63927 + 7.45734I 0
u = 0.678007 + 0.047241I
a = 0.140486 − 0.746286I
b = −1.240580 − 0.388666I
−5.50525 − 2.82985I 0
u = 0.678007 − 0.047241I
a = 0.140486 + 0.746286I
b = −1.240580 + 0.388666I
−5.50525 + 2.82985I 0
u = −0.408977 + 1.268690I
a = −0.060877 − 1.378580I
b = −0.81864 + 1.18696I
8.21262 + 3.04629I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.408977 − 1.268690I
a = −0.060877 + 1.378580I
b = −0.81864 − 1.18696I
8.21262 − 3.04629I 0
u = 0.661322 + 0.048311I
a = −0.928372 + 0.296275I
b = −0.513047 + 0.152421I
−1.77744 + 0.10685I 0
u = 0.661322 − 0.048311I
a = −0.928372 − 0.296275I
b = −0.513047 − 0.152421I
−1.77744 − 0.10685I 0
u = −0.659297 + 1.177180I
a = 0.11442 + 1.61581I
b = 1.12442 − 1.44563I
−1.62101 + 10.37210I 0
u = −0.659297 − 1.177180I
a = 0.11442 − 1.61581I
b = 1.12442 + 1.44563I
−1.62101 − 10.37210I 0
u = −0.468350 + 1.265950I
a = −0.26558 − 1.46714I
b = −0.97625 + 1.03305I
4.8664 + 14.1213I 0
u = −0.468350 − 1.265950I
a = −0.26558 + 1.46714I
b = −0.97625 − 1.03305I
4.8664 − 14.1213I 0
u = 0.438907 + 1.277280I
a = 0.20120 − 1.63828I
b = 0.841423 + 1.029190I
1.33959 − 7.27539I 0
u = 0.438907 − 1.277280I
a = 0.20120 + 1.63828I
b = 0.841423 − 1.029190I
1.33959 + 7.27539I 0
u = −0.644489
a = 1.79194
b = −0.387949
−2.93629 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.392414 + 1.306810I
a = 0.299638 − 1.273980I
b = −0.49194 + 1.33829I
1.73293 + 4.05578I 0
u = −0.392414 − 1.306810I
a = 0.299638 + 1.273980I
b = −0.49194 − 1.33829I
1.73293 − 4.05578I 0
u = −0.530279 + 1.283350I
a = 0.411497 + 0.757143I
b = 0.443492 − 0.868600I
7.30029 + 6.82022I 0
u = −0.530279 − 1.283350I
a = 0.411497 − 0.757143I
b = 0.443492 + 0.868600I
7.30029 − 6.82022I 0
u = −0.296647 + 1.369300I
a = −1.14212 + 1.27258I
b = 1.83066 − 1.10168I
3.28256 + 8.71826I 0
u = −0.296647 − 1.369300I
a = −1.14212 − 1.27258I
b = 1.83066 + 1.10168I
3.28256 − 8.71826I 0
u = 0.76816 + 1.18824I
a = −0.416791 + 1.151450I
b = −0.43883 − 1.38613I
3.02169 − 10.61870I 0
u = 0.76816 − 1.18824I
a = −0.416791 − 1.151450I
b = −0.43883 + 1.38613I
3.02169 + 10.61870I 0
u = 0.60070 + 1.31150I
a = −0.22928 − 1.63770I
b = 1.02806 + 1.22287I
−0.16949 − 7.55453I 0
u = 0.60070 − 1.31150I
a = −0.22928 + 1.63770I
b = 1.02806 − 1.22287I
−0.16949 + 7.55453I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.63165 + 1.30519I
a = 0.16100 − 1.54221I
b = −1.17961 + 1.20670I
−5.2028 + 14.3290I 0
u = −0.63165 − 1.30519I
a = 0.16100 + 1.54221I
b = −1.17961 − 1.20670I
−5.2028 − 14.3290I 0
u = −1.44349 + 0.15752I
a = −0.240446 + 0.080460I
b = 0.778245 + 0.310240I
−5.51155 − 0.58477I 0
u = −1.44349 − 0.15752I
a = −0.240446 − 0.080460I
b = 0.778245 − 0.310240I
−5.51155 + 0.58477I 0
u = 0.64397 + 1.31980I
a = −0.14683 − 1.51265I
b = 1.22958 + 1.24816I
−1.1409 − 20.4698I 0
u = 0.64397 − 1.31980I
a = −0.14683 + 1.51265I
b = 1.22958 − 1.24816I
−1.1409 + 20.4698I 0
u = −0.79296 + 1.26164I
a = 0.137567 + 0.992154I
b = 0.599164 − 0.879129I
−1.60175 + 7.75698I 0
u = −0.79296 − 1.26164I
a = 0.137567 − 0.992154I
b = 0.599164 + 0.879129I
−1.60175 − 7.75698I 0
u = 0.62958 + 1.37014I
a = −0.322343 − 0.870657I
b = 0.772853 + 0.773447I
0.66563 − 5.13185I 0
u = 0.62958 − 1.37014I
a = −0.322343 + 0.870657I
b = 0.772853 − 0.773447I
0.66563 + 5.13185I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.55959 + 1.40172I
a = 0.384263 + 0.528790I
b = −0.138130 − 0.688054I
4.55170 − 3.86551I 0
u = −0.55959 − 1.40172I
a = 0.384263 − 0.528790I
b = −0.138130 + 0.688054I
4.55170 + 3.86551I 0
u = −0.478101 + 0.078092I
a = 1.15589 + 1.45481I
b = 0.641890 + 0.436587I
−0.94899 − 2.96707I −6.23165 + 9.33212I
u = −0.478101 − 0.078092I
a = 1.15589 − 1.45481I
b = 0.641890 − 0.436587I
−0.94899 + 2.96707I −6.23165 − 9.33212I
u = −0.74269 + 1.32272I
a = −0.059880 + 1.093190I
b = 0.982891 − 0.884431I
−1.95412 + 7.93835I 0
u = −0.74269 − 1.32272I
a = −0.059880 − 1.093190I
b = 0.982891 + 0.884431I
−1.95412 − 7.93835I 0
u = 0.64430 + 1.42560I
a = 0.325887 + 1.093300I
b = −1.30920 − 0.89071I
−0.82655 − 10.04040I 0
u = 0.64430 − 1.42560I
a = 0.325887 − 1.093300I
b = −1.30920 + 0.89071I
−0.82655 + 10.04040I 0
u = 0.25015 + 1.56425I
a = 0.383683 + 0.311453I
b = −0.0804358 − 0.1008080I
−1.26364 − 2.15985I 0
u = 0.25015 − 1.56425I
a = 0.383683 − 0.311453I
b = −0.0804358 + 0.1008080I
−1.26364 + 2.15985I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.03041 + 1.20674I
a = −0.165170 − 0.573251I
b = −0.215571 + 0.728769I
−2.75137 + 0.34242I 0
u = −1.03041 − 1.20674I
a = −0.165170 + 0.573251I
b = −0.215571 − 0.728769I
−2.75137 − 0.34242I 0
u = −0.406661 + 0.027543I
a = −1.97717 − 1.26169I
b = −0.588042 + 0.756972I
0.68402 − 4.19525I −6.22230 + 5.15795I
u = −0.406661 − 0.027543I
a = −1.97717 + 1.26169I
b = −0.588042 − 0.756972I
0.68402 + 4.19525I −6.22230 − 5.15795I
u = −0.173526 + 0.354609I
a = −0.922755 + 0.592818I
b = 0.425194 + 0.480196I
−0.250034 − 1.189480I −3.34735 + 5.14170I
u = −0.173526 − 0.354609I
a = −0.922755 − 0.592818I
b = 0.425194 − 0.480196I
−0.250034 + 1.189480I −3.34735 − 5.14170I
u = 0.85769 + 1.37283I
a = −0.137411 + 0.586640I
b = −0.092810 − 0.472677I
−1.22941 − 2.59294I 0
u = 0.85769 − 1.37283I
a = −0.137411 − 0.586640I
b = −0.092810 + 0.472677I
−1.22941 + 2.59294I 0
u = 0.173407 + 0.086261I
a = 3.14023 + 3.92856I
b = −0.452594 + 0.674156I
3.45461 + 4.27929I −0.72048 − 7.86524I
u = 0.173407 − 0.086261I
a = 3.14023 − 3.92856I
b = −0.452594 − 0.674156I
3.45461 − 4.27929I −0.72048 + 7.86524I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.09687 + 1.86628I
a = −0.350507 + 0.096746I
b = 0.050346 − 0.190936I
2.20757 + 7.66533I 0
u = 0.09687 − 1.86628I
a = −0.350507 − 0.096746I
b = 0.050346 + 0.190936I
2.20757 − 7.66533I 0
21
II. I
u
2
= h1.79 × 10
27
u
36
+ 1.26 × 10
26
u
35
+ · · · + 2.72 × 10
26
b + 1.59 ×
10
27
, −4.28 × 10
26
u
36
− 2.28 × 10
26
u
35
+ · · · + 9.08 × 10
25
a − 8.23 ×
10
26
, u
37
+ 13u
35
+ · · · + 4u + 1i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
5
=
4.70987u
36
+ 2.51398u
35
+ ··· + 43.9785u + 9.06064
−6.55981u
36
− 0.461327u
35
+ ··· − 34.1937u − 5.85361
a
9
=
1
u
2
a
10
=
−0.599955u
36
− 2.68288u
35
+ ··· − 23.4625u − 2.77216
−4.81956u
36
+ 0.335459u
35
+ ··· − 11.2351u − 0.449214
a
6
=
−12.0608u
36
+ 5.01612u
35
+ ··· + 3.72057u + 5.40064
4.34249u
36
+ 0.612017u
35
+ ··· + 21.3640u + 4.09719
a
4
=
−1.84994u
36
+ 2.05265u
35
+ ··· + 9.78478u + 3.20703
−6.55981u
36
− 0.461327u
35
+ ··· − 34.1937u − 5.85361
a
2
=
2.52467u
36
− 1.68904u
35
+ ··· − 18.8729u − 5.95832
−1.89012u
36
+ 0.884845u
35
+ ··· − 10.5759u − 2.84562
a
7
=
−3.39237u
36
+ 4.33018u
35
+ ··· − 4.40795u − 0.166576
−0.694772u
36
− 0.821823u
35
+ ··· − 3.18209u − 1.47497
a
12
=
u
u
3
+ u
a
3
=
0.231506u
36
+ 2.66785u
35
+ ··· + 20.8392u + 4.55320
−5.72193u
36
+ 0.273225u
35
+ ··· − 27.6816u − 5.12263
a
11
=
−3.44098u
36
− 3.65129u
35
+ ··· − 6.11822u − 0.499858
0.177586u
36
+ 1.73735u
35
+ ··· + 14.5787u + 4.67796
(ii) Obstruction class = 1
(iii) Cusp Shapes =
844050178030989400342545492
90789591380371459276412951
u
36
+
179385056505497329516656139
90789591380371459276412951
u
35
+
··· −
1348791176963657997833124526
90789591380371459276412951
u −
1696654828728860144617132504
90789591380371459276412951
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
37
− 11u
36
+ ··· + 3u − 1
c
2
u
37
− u
36
+ ··· − 3u − 1
c
3
u
37
− 3u
36
+ ··· + 2u + 1
c
4
u
37
− 6u
35
+ ··· − 4u − 1
c
5
u
37
− 15u
35
+ ··· − 55u − 7
c
6
u
37
+ u
36
+ ··· + 12u − 1
c
7
u
37
+ 11u
35
+ ··· − 3u + 5
c
8
u
37
+ 13u
35
+ ··· + 4u + 1
c
9
u
37
− 15u
35
+ ··· − 55u + 7
c
10
u
37
− u
36
+ ··· + 4u − 1
c
11
u
37
− u
36
+ ··· + 12u + 1
c
12
u
37
+ 13u
35
+ ··· + 4u − 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
37
− 7y
36
+ ··· − 7y −1
c
2
y
37
+ 9y
36
+ ··· − 9y −1
c
3
y
37
− 13y
36
+ ··· − 46y −1
c
4
y
37
− 12y
36
+ ··· + 26y −1
c
5
, c
9
y
37
− 30y
36
+ ··· + 1527y −49
c
6
, c
11
y
37
− 25y
36
+ ··· + 120y −1
c
7
y
37
+ 22y
36
+ ··· − 511y −25
c
8
, c
12
y
37
+ 26y
36
+ ··· − 14y −1
c
10
y
37
− y
36
+ ··· + 8y −1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.032070 + 0.111786I
a = 0.316576 + 0.034191I
b = −0.972459 + 0.468106I
−3.51349 + 1.44951I −5.41957 − 2.94424I
u = 1.032070 − 0.111786I
a = 0.316576 − 0.034191I
b = −0.972459 − 0.468106I
−3.51349 − 1.44951I −5.41957 + 2.94424I
u = −0.444782 + 0.949309I
a = −0.994064 − 0.589237I
b = 0.122296 + 0.658604I
4.14354 − 3.04058I 2.38383 + 1.83641I
u = −0.444782 − 0.949309I
a = −0.994064 + 0.589237I
b = 0.122296 − 0.658604I
4.14354 + 3.04058I 2.38383 − 1.83641I
u = 0.481767 + 0.935817I
a = 0.12481 + 1.66020I
b = −0.834364 − 1.056510I
−0.93646 − 4.03621I −9.02583 + 4.60989I
u = 0.481767 − 0.935817I
a = 0.12481 − 1.66020I
b = −0.834364 + 1.056510I
−0.93646 + 4.03621I −9.02583 − 4.60989I
u = −0.500083 + 0.771262I
a = −0.13725 + 1.92485I
b = 0.536463 − 0.289303I
−3.13833 + 0.97825I −6.34036 − 4.44625I
u = −0.500083 − 0.771262I
a = −0.13725 − 1.92485I
b = 0.536463 + 0.289303I
−3.13833 − 0.97825I −6.34036 + 4.44625I
u = −0.015458 + 0.876685I
a = −0.75524 − 2.96914I
b = −0.156822 + 0.776418I
1.67825 + 3.73359I 4.83791 − 7.50112I
u = −0.015458 − 0.876685I
a = −0.75524 + 2.96914I
b = −0.156822 − 0.776418I
1.67825 − 3.73359I 4.83791 + 7.50112I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.831837 + 0.147819I
a = −0.321371 + 0.657272I
b = 1.227440 + 0.564758I
−4.45307 − 3.22609I −6.17702 + 3.43581I
u = −0.831837 − 0.147819I
a = −0.321371 − 0.657272I
b = 1.227440 − 0.564758I
−4.45307 + 3.22609I −6.17702 − 3.43581I
u = 0.204287 + 0.818402I
a = 1.26623 − 2.61765I
b = −1.28180 + 1.75398I
−1.69251 − 9.30048I −8.00537 + 4.74846I
u = 0.204287 − 0.818402I
a = 1.26623 + 2.61765I
b = −1.28180 − 1.75398I
−1.69251 + 9.30048I −8.00537 − 4.74846I
u = −0.134827 + 0.799184I
a = −0.82128 − 1.46788I
b = 1.69086 + 0.83155I
−5.54622 + 3.70220I −5.11113 − 0.65212I
u = −0.134827 − 0.799184I
a = −0.82128 + 1.46788I
b = 1.69086 − 0.83155I
−5.54622 − 3.70220I −5.11113 + 0.65212I
u = 0.416723 + 1.131290I
a = −0.413336 + 1.114760I
b = −0.975991 − 0.746453I
1.42599 − 5.63695I −3.56832 + 6.31621I
u = 0.416723 − 1.131290I
a = −0.413336 − 1.114760I
b = −0.975991 + 0.746453I
1.42599 + 5.63695I −3.56832 − 6.31621I
u = −0.335518 + 1.174090I
a = −0.240120 + 0.765234I
b = 1.171990 − 0.766271I
5.52378 + 6.35317I 0.58085 − 7.03684I
u = −0.335518 − 1.174090I
a = −0.240120 − 0.765234I
b = 1.171990 + 0.766271I
5.52378 − 6.35317I 0.58085 + 7.03684I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.096272 + 1.235980I
a = 0.522511 − 0.704186I
b = 0.260122 + 0.048183I
3.09309 − 3.79740I 2.14124 + 7.78975I
u = 0.096272 − 1.235980I
a = 0.522511 + 0.704186I
b = 0.260122 − 0.048183I
3.09309 + 3.79740I 2.14124 − 7.78975I
u = −0.685057
a = 1.37121
b = −0.592879
−4.17470 −10.1620
u = −0.314230 + 0.596806I
a = 0.563270 + 0.616967I
b = 1.45075 − 0.26310I
−3.88047 + 3.20112I −9.17094 − 3.22595I
u = −0.314230 − 0.596806I
a = 0.563270 − 0.616967I
b = 1.45075 + 0.26310I
−3.88047 − 3.20112I −9.17094 + 3.22595I
u = 0.456685 + 0.430540I
a = −0.05767 + 1.58690I
b = −0.423648 + 0.454503I
−0.90318 + 1.99976I −7.28606 − 1.41380I
u = 0.456685 − 0.430540I
a = −0.05767 − 1.58690I
b = −0.423648 − 0.454503I
−0.90318 − 1.99976I −7.28606 + 1.41380I
u = 0.59209 + 1.28876I
a = 0.20459 + 1.51580I
b = −1.05370 − 1.16198I
0.02394 − 7.28634I 0
u = 0.59209 − 1.28876I
a = 0.20459 − 1.51580I
b = −1.05370 + 1.16198I
0.02394 + 7.28634I 0
u = −0.67933 + 1.29847I
a = −0.117622 + 1.264610I
b = 1.17956 − 1.08513I
−0.96344 + 9.17123I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.67933 − 1.29847I
a = −0.117622 − 1.264610I
b = 1.17956 + 1.08513I
−0.96344 − 9.17123I 0
u = −0.309801 + 0.369830I
a = 1.46862 + 1.73365I
b = −0.925035 − 0.435702I
−4.17455 − 0.06083I −9.83061 − 0.08111I
u = −0.309801 − 0.369830I
a = 1.46862 − 1.73365I
b = −0.925035 + 0.435702I
−4.17455 + 0.06083I −9.83061 + 0.08111I
u = −0.16391 + 1.65671I
a = 0.689926 − 0.283256I
b = −0.867592 + 0.150982I
1.61772 + 7.61604I 0
u = −0.16391 − 1.65671I
a = 0.689926 + 0.283256I
b = −0.867592 − 0.150982I
1.61772 − 7.61604I 0
u = 0.79240 + 1.56795I
a = 0.015806 − 0.505360I
b = 0.148383 + 0.508195I
−1.02164 − 2.57938I 0
u = 0.79240 − 1.56795I
a = 0.015806 + 0.505360I
b = 0.148383 − 0.508195I
−1.02164 + 2.57938I 0
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
37
− 11u
36
+ ··· + 3u − 1)(u
162
+ 10u
161
+ ··· + 154u − 7)
c
2
(u
37
− u
36
+ ··· − 3u − 1)(u
162
+ 8u
160
+ ··· − 20u + 1)
c
3
(u
37
− 3u
36
+ ··· + 2u + 1)
· (u
162
− 2u
161
+ ··· + 7626293679u + 965121761)
c
4
(u
37
− 6u
35
+ ··· − 4u − 1)(u
162
+ 7u
161
+ ··· + 31u − 1)
c
5
(u
37
− 15u
35
+ ··· − 55u − 7)
· (u
162
− 3u
161
+ ··· + 6218386u − 528361)
c
6
(u
37
+ u
36
+ ··· + 12u − 1)(u
162
− 51u
160
+ ··· + 1717u + 437)
c
7
(u
37
+ 11u
35
+ ··· − 3u + 5)
· (u
162
+ u
161
+ ··· − 6589604478u − 630454121)
c
8
(u
37
+ 13u
35
+ ··· + 4u + 1)(u
162
+ 5u
161
+ ··· − 9133u − 1379)
c
9
(u
37
− 15u
35
+ ··· − 55u + 7)
· (u
162
− 3u
161
+ ··· + 6218386u − 528361)
c
10
(u
37
− u
36
+ ··· + 4u − 1)(u
162
− 2u
161
+ ··· + 123u − 7)
c
11
(u
37
− u
36
+ ··· + 12u + 1)(u
162
− 51u
160
+ ··· + 1717u + 437)
c
12
(u
37
+ 13u
35
+ ··· + 4u − 1)(u
162
+ 5u
161
+ ··· − 9133u − 1379)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
37
− 7y
36
+ ··· − 7y −1)(y
162
+ 4y
161
+ ··· − 4116y + 49)
c
2
(y
37
+ 9y
36
+ ··· − 9y −1)(y
162
+ 16y
161
+ ··· − 190y + 1)
c
3
(y
37
− 13y
36
+ ··· − 46y −1)
· (y
162
− 54y
161
+ ··· − 2.99 × 10
18
y + 9.31 × 10
17
)
c
4
(y
37
− 12y
36
+ ··· + 26y −1)(y
162
− 13y
161
+ ··· − 17y + 1)
c
5
, c
9
(y
37
− 30y
36
+ ··· + 1527y −49)
· (y
162
− 131y
161
+ ··· − 29177786074y + 279165346321)
c
6
, c
11
(y
37
− 25y
36
+ ··· + 120y −1)
· (y
162
− 102y
161
+ ··· − 3102787y + 190969)
c
7
(y
37
+ 22y
36
+ ··· − 511y −25)
· (y
162
+ 73y
161
+ ··· + 2.01 × 10
19
y + 3.97 × 10
17
)
c
8
, c
12
(y
37
+ 26y
36
+ ··· − 14y −1)
· (y
162
+ 97y
161
+ ··· − 11736785y + 1901641)
c
10
(y
37
− y
36
+ ··· + 8y −1)(y
162
− 6y
161
+ ··· − 5063y + 49)
32
