12a
1085
(K12a
1085
)
A knot diagram
1
Linearized knot diagam
4 7 10 1 9 2 12 11 5 3 8 6
Solving Sequence
7,12 3,8
2 6 11 9 5 10 4 1
c
7
c
2
c
6
c
11
c
8
c
5
c
10
c
3
c
1
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.55506 × 10
297
u
130
− 1.07595 × 10
298
u
129
+ ··· + 3.32793 × 10
297
b + 1.89111 × 10
300
,
3.29789 × 10
300
u
130
+ 1.06460 × 10
301
u
129
+ ··· + 3.33792 × 10
300
a + 2.16601 × 10
303
,
u
131
+ 3u
130
+ ··· + 6557u + 1003i
I
u
2
= h9205u
37
− 56551u
36
+ ··· + 2759b − 17392, 999u
37
+ 1035u
36
+ ··· + 2759a + 9185,
u
38
− 4u
37
+ ··· − 8u + 1i
* 2 irreducible components of dim
C
= 0, with total 169 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h−4.56 × 10
297
u
130
− 1.08 × 10
298
u
129
+ · · · + 3.33 × 10
297
b + 1.89 ×
10
300
, 3.30 × 10
300
u
130
+ 1.06 × 10
301
u
129
+ · · · + 3.34 × 10
300
a + 2.17 ×
10
303
, u
131
+ 3u
130
+ · · · + 6557u + 1003i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
−0.988006u
130
− 3.18941u
129
+ ··· − 4307.93u − 648.910
1.36873u
130
+ 3.23310u
129
+ ··· − 2225.95u − 568.252
a
8
=
1
u
2
a
2
=
0.380727u
130
+ 0.0436875u
129
+ ··· − 6533.88u − 1217.16
1.36873u
130
+ 3.23310u
129
+ ··· − 2225.95u − 568.252
a
6
=
0.446882u
130
+ 1.40976u
129
+ ··· + 1941.40u + 215.692
0.117990u
130
+ 0.692334u
129
+ ··· + 2224.63u + 374.684
a
11
=
u
u
3
+ u
a
9
=
u
2
+ 1
u
4
+ 2u
2
a
5
=
0.593039u
130
+ 2.03783u
129
+ ··· + 3733.75u + 516.466
−0.0419501u
130
+ 0.305545u
129
+ ··· + 2788.24u + 509.061
a
10
=
0.452060u
130
+ 0.814581u
129
+ ··· + 2309.50u + 589.182
−0.102605u
130
+ 0.105061u
129
+ ··· + 923.553u + 181.597
a
4
=
−2.29003u
130
− 5.13247u
129
+ ··· + 6306.85u + 1492.58
−1.98969u
130
− 5.06913u
129
+ ··· + 1208.27u + 424.354
a
1
=
−0.365237u
130
− 1.42252u
129
+ ··· − 2974.24u − 244.912
0.777842u
130
+ 1.26849u
129
+ ··· − 5034.27u − 976.706
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.287805u
130
+ 1.86995u
129
+ ··· + 12047.8u + 2480.08
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
131
− 3u
130
+ ··· − 5u + 1
c
2
, c
6
u
131
− u
130
+ ··· + 124858u + 34547
c
3
, c
10
u
131
+ u
130
+ ··· − 3046848u + 2207401
c
5
, c
9
u
131
− 3u
130
+ ··· − 20576u + 928
c
7
, c
8
, c
11
u
131
− 3u
130
+ ··· + 6557u − 1003
c
12
u
131
+ u
130
+ ··· − 102925u + 30725
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
131
+ 63y
130
+ ··· − 95y −1
c
2
, c
6
y
131
− 79y
130
+ ··· + 24976423722y −1193495209
c
3
, c
10
y
131
+ 97y
130
+ ··· − 107213854635398y −4872619174801
c
5
, c
9
y
131
+ 81y
130
+ ··· + 109900800y −861184
c
7
, c
8
, c
11
y
131
+ 123y
130
+ ··· + 26057591y −1006009
c
12
y
131
− y
130
+ ··· − 182071674025y −944025625
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.934694 + 0.329104I
a = −0.550835 − 0.743791I
b = −1.31849 + 0.55849I
−6.0155 + 13.7624I 0
u = −0.934694 − 0.329104I
a = −0.550835 + 0.743791I
b = −1.31849 − 0.55849I
−6.0155 − 13.7624I 0
u = 0.679855 + 0.683286I
a = −0.462761 − 0.629021I
b = 1.131680 − 0.277058I
−1.55411 + 2.60636I 0
u = 0.679855 − 0.683286I
a = −0.462761 + 0.629021I
b = 1.131680 + 0.277058I
−1.55411 − 2.60636I 0
u = −1.007500 + 0.249395I
a = 0.528639 + 0.553378I
b = 1.197060 − 0.485687I
−8.29895 + 6.75694I 0
u = −1.007500 − 0.249395I
a = 0.528639 − 0.553378I
b = 1.197060 + 0.485687I
−8.29895 − 6.75694I 0
u = −0.609549 + 0.880930I
a = 1.033680 + 0.650673I
b = 0.538625 − 0.320977I
−3.78924 + 2.21930I 0
u = −0.609549 − 0.880930I
a = 1.033680 − 0.650673I
b = 0.538625 + 0.320977I
−3.78924 − 2.21930I 0
u = 0.818465 + 0.409101I
a = −0.333227 + 0.716166I
b = −1.258220 − 0.258704I
−4.60969 − 2.75132I 0
u = 0.818465 − 0.409101I
a = −0.333227 − 0.716166I
b = −1.258220 + 0.258704I
−4.60969 + 2.75132I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.769460 + 0.454615I
a = −0.430525 + 0.833443I
b = −1.278700 − 0.122735I
−4.55934 − 2.49188I 0
u = 0.769460 − 0.454615I
a = −0.430525 − 0.833443I
b = −1.278700 + 0.122735I
−4.55934 + 2.49188I 0
u = 0.688328 + 0.873746I
a = −0.592425 + 0.433927I
b = −0.861384 + 0.124540I
−3.06768 − 2.44235I 0
u = 0.688328 − 0.873746I
a = −0.592425 − 0.433927I
b = −0.861384 − 0.124540I
−3.06768 + 2.44235I 0
u = 0.789233 + 0.386969I
a = 0.349506 − 0.813447I
b = 1.297670 + 0.546358I
−2.45784 − 7.50441I 0
u = 0.789233 − 0.386969I
a = 0.349506 + 0.813447I
b = 1.297670 − 0.546358I
−2.45784 + 7.50441I 0
u = −0.035834 + 1.125340I
a = −0.86865 − 2.41662I
b = 0.666170 + 0.860764I
−0.31847 − 5.32965I 0
u = −0.035834 − 1.125340I
a = −0.86865 + 2.41662I
b = 0.666170 − 0.860764I
−0.31847 + 5.32965I 0
u = −0.031587 + 1.145130I
a = 0.35907 + 2.14111I
b = −0.848661 − 0.423254I
−3.53022 + 0.23230I 0
u = −0.031587 − 1.145130I
a = 0.35907 − 2.14111I
b = −0.848661 + 0.423254I
−3.53022 − 0.23230I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.752508 + 0.352699I
a = −0.984423 + 0.573636I
b = −1.134740 − 0.157369I
−4.22971 − 2.52046I 0
u = 0.752508 − 0.352699I
a = −0.984423 − 0.573636I
b = −1.134740 + 0.157369I
−4.22971 + 2.52046I 0
u = 0.025206 + 1.187290I
a = 0.34341 − 2.21812I
b = 0.742032 + 0.026090I
0.21152 + 5.29954I 0
u = 0.025206 − 1.187290I
a = 0.34341 + 2.21812I
b = 0.742032 − 0.026090I
0.21152 − 5.29954I 0
u = −0.131118 + 1.184340I
a = 0.907058 + 0.602299I
b = −1.55156 − 0.34705I
−5.46941 + 0.66431I 0
u = −0.131118 − 1.184340I
a = 0.907058 − 0.602299I
b = −1.55156 + 0.34705I
−5.46941 − 0.66431I 0
u = −0.717221 + 0.957662I
a = 0.401088 − 0.263128I
b = −1.194890 − 0.413863I
−4.17251 − 8.11451I 0
u = −0.717221 − 0.957662I
a = 0.401088 + 0.263128I
b = −1.194890 + 0.413863I
−4.17251 + 8.11451I 0
u = −0.798624 + 0.068130I
a = −0.707332 + 0.137978I
b = −0.811384 − 0.753650I
0.96424 − 2.83403I 0
u = −0.798624 − 0.068130I
a = −0.707332 − 0.137978I
b = −0.811384 + 0.753650I
0.96424 + 2.83403I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.841415 + 0.864267I
a = 0.123708 + 0.437579I
b = −1.046930 + 0.038601I
−3.66191 − 2.86764I 0
u = 0.841415 − 0.864267I
a = 0.123708 − 0.437579I
b = −1.046930 − 0.038601I
−3.66191 + 2.86764I 0
u = −0.170127 + 1.208950I
a = −1.147570 + 0.063788I
b = 1.73263 + 0.21832I
−3.89869 + 4.95633I 0
u = −0.170127 − 1.208950I
a = −1.147570 − 0.063788I
b = 1.73263 − 0.21832I
−3.89869 − 4.95633I 0
u = 0.552137 + 0.539168I
a = −0.601591 + 0.174461I
b = 0.307493 − 0.623301I
0.68998 − 3.26031I 0
u = 0.552137 − 0.539168I
a = −0.601591 − 0.174461I
b = 0.307493 + 0.623301I
0.68998 + 3.26031I 0
u = −0.084779 + 1.233320I
a = −0.277224 + 0.582683I
b = −1.388380 − 0.064832I
−4.78082 + 1.55259I 0
u = −0.084779 − 1.233320I
a = −0.277224 − 0.582683I
b = −1.388380 + 0.064832I
−4.78082 − 1.55259I 0
u = −0.697567 + 0.288833I
a = 0.509289 − 0.451238I
b = 0.092417 + 0.707095I
−5.12293 + 2.23297I 0
u = −0.697567 − 0.288833I
a = 0.509289 + 0.451238I
b = 0.092417 − 0.707095I
−5.12293 − 2.23297I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.119894 + 1.260100I
a = 0.090350 + 0.352826I
b = 1.56261 + 0.03072I
−3.04352 − 1.72138I 0
u = −0.119894 − 1.260100I
a = 0.090350 − 0.352826I
b = 1.56261 − 0.03072I
−3.04352 + 1.72138I 0
u = −0.667494 + 0.272419I
a = −0.174243 + 0.449009I
b = −0.053870 − 1.094810I
−2.09095 + 7.97659I 0
u = −0.667494 − 0.272419I
a = −0.174243 − 0.449009I
b = −0.053870 + 1.094810I
−2.09095 − 7.97659I 0
u = 0.545298 + 0.467803I
a = 0.571463 + 0.100897I
b = 0.938446 − 0.555977I
−1.20051 + 3.65561I 0
u = 0.545298 − 0.467803I
a = 0.571463 − 0.100897I
b = 0.938446 + 0.555977I
−1.20051 − 3.65561I 0
u = −0.458111 + 0.528404I
a = −1.86536 − 0.22014I
b = −0.200295 + 0.463592I
−1.05071 − 4.43531I 0
u = −0.458111 − 0.528404I
a = −1.86536 + 0.22014I
b = −0.200295 − 0.463592I
−1.05071 + 4.43531I 0
u = 0.615847 + 0.313571I
a = 1.88745 − 0.94174I
b = 1.102450 + 0.400010I
−1.65081 − 7.22240I −7.00170 + 8.40269I
u = 0.615847 − 0.313571I
a = 1.88745 + 0.94174I
b = 1.102450 − 0.400010I
−1.65081 + 7.22240I −7.00170 − 8.40269I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.595933 + 0.324234I
a = 0.461656 − 0.734192I
b = 0.389923 + 0.502982I
0.111356 − 0.603783I −4.00000 + 2.81913I
u = 0.595933 − 0.324234I
a = 0.461656 + 0.734192I
b = 0.389923 − 0.502982I
0.111356 + 0.603783I −4.00000 − 2.81913I
u = 0.135341 + 1.316130I
a = 0.35019 − 2.02274I
b = −0.26473 + 1.40134I
5.28796 − 0.51685I 0
u = 0.135341 − 1.316130I
a = 0.35019 + 2.02274I
b = −0.26473 − 1.40134I
5.28796 + 0.51685I 0
u = −0.684844 + 1.155350I
a = −0.353479 + 0.149555I
b = 1.072870 + 0.356066I
−5.62717 − 0.84114I 0
u = −0.684844 − 1.155350I
a = −0.353479 − 0.149555I
b = 1.072870 − 0.356066I
−5.62717 + 0.84114I 0
u = −0.140360 + 1.349520I
a = −0.201290 + 1.328550I
b = 1.116370 − 0.449257I
2.62547 + 1.91932I 0
u = −0.140360 − 1.349520I
a = −0.201290 − 1.328550I
b = 1.116370 + 0.449257I
2.62547 − 1.91932I 0
u = 0.179299 + 1.349430I
a = −0.80224 + 1.81570I
b = 0.64697 − 1.39086I
5.93037 − 3.80995I 0
u = 0.179299 − 1.349430I
a = −0.80224 − 1.81570I
b = 0.64697 + 1.39086I
5.93037 + 3.80995I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.276716 + 1.333720I
a = 0.318553 − 0.745790I
b = 1.064700 + 0.376173I
4.72117 − 2.74730I 0
u = 0.276716 − 1.333720I
a = 0.318553 + 0.745790I
b = 1.064700 − 0.376173I
4.72117 + 2.74730I 0
u = −0.395334 + 1.305160I
a = −0.36074 − 1.63019I
b = −0.960863 + 0.772999I
4.85292 + 7.20961I 0
u = −0.395334 − 1.305160I
a = −0.36074 + 1.63019I
b = −0.960863 − 0.772999I
4.85292 − 7.20961I 0
u = 0.635440 + 0.006329I
a = 1.09310 − 1.01779I
b = 0.590265 − 0.091851I
0.443485 − 0.658778I −6.88794 − 0.16623I
u = 0.635440 − 0.006329I
a = 1.09310 + 1.01779I
b = 0.590265 + 0.091851I
0.443485 + 0.658778I −6.88794 + 0.16623I
u = −0.602014 + 0.190107I
a = −0.117972 − 1.364090I
b = −1.189610 + 0.529459I
−8.28202 + 1.92303I −12.09420 − 6.84885I
u = −0.602014 − 0.190107I
a = −0.117972 + 1.364090I
b = −1.189610 − 0.529459I
−8.28202 − 1.92303I −12.09420 + 6.84885I
u = −0.236766 + 1.349600I
a = −0.95781 + 1.84822I
b = 1.27816 − 0.66979I
−2.40209 + 0.83917I 0
u = −0.236766 − 1.349600I
a = −0.95781 − 1.84822I
b = 1.27816 + 0.66979I
−2.40209 − 0.83917I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.097821 + 1.371550I
a = 0.081815 − 1.219470I
b = −0.347833 + 0.449614I
4.86122 − 2.83742I 0
u = 0.097821 − 1.371550I
a = 0.081815 + 1.219470I
b = −0.347833 − 0.449614I
4.86122 + 2.83742I 0
u = −0.182001 + 1.368620I
a = 0.10079 − 1.69592I
b = −1.214110 + 0.687059I
6.96416 + 5.92527I 0
u = −0.182001 − 1.368620I
a = 0.10079 + 1.69592I
b = −1.214110 − 0.687059I
6.96416 − 5.92527I 0
u = −0.598169 + 0.129833I
a = 0.550974 + 1.159430I
b = 1.48357 − 0.42359I
−7.10762 − 2.21508I −10.60536 + 2.23170I
u = −0.598169 − 0.129833I
a = 0.550974 − 1.159430I
b = 1.48357 + 0.42359I
−7.10762 + 2.21508I −10.60536 − 2.23170I
u = −0.190570 + 1.375840I
a = −1.07455 + 1.87376I
b = 1.152520 − 0.159315I
−1.53807 + 6.24014I 0
u = −0.190570 − 1.375840I
a = −1.07455 − 1.87376I
b = 1.152520 + 0.159315I
−1.53807 − 6.24014I 0
u = −0.294482 + 1.363240I
a = 0.756292 + 0.710811I
b = −0.727685 − 0.916619I
5.57411 + 1.03954I 0
u = −0.294482 − 1.363240I
a = 0.756292 − 0.710811I
b = −0.727685 + 0.916619I
5.57411 − 1.03954I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.245737 + 1.376050I
a = 0.76197 − 1.82749I
b = −0.944287 + 0.769941I
−3.28024 + 5.04757I 0
u = −0.245737 − 1.376050I
a = 0.76197 + 1.82749I
b = −0.944287 − 0.769941I
−3.28024 − 5.04757I 0
u = −0.20359 + 1.40017I
a = 1.14728 − 1.56629I
b = −0.840553 + 0.145478I
−2.49420 + 2.92894I 0
u = −0.20359 − 1.40017I
a = 1.14728 + 1.56629I
b = −0.840553 − 0.145478I
−2.49420 − 2.92894I 0
u = −0.09468 + 1.41900I
a = −0.136059 − 1.064040I
b = −0.818408 + 0.488902I
5.40126 − 2.73374I 0
u = −0.09468 − 1.41900I
a = −0.136059 + 1.064040I
b = −0.818408 − 0.488902I
5.40126 + 2.73374I 0
u = −0.27503 + 1.40354I
a = −0.390920 − 1.279640I
b = 0.249244 + 1.055930I
0.23806 + 5.77413I 0
u = −0.27503 − 1.40354I
a = −0.390920 + 1.279640I
b = 0.249244 − 1.055930I
0.23806 − 5.77413I 0
u = −0.26689 + 1.40609I
a = 0.61770 + 1.56594I
b = −0.263332 − 1.335610I
3.26018 + 11.39960I 0
u = −0.26689 − 1.40609I
a = 0.61770 − 1.56594I
b = −0.263332 + 1.335610I
3.26018 − 11.39960I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.24673 + 1.41926I
a = 0.15074 − 1.55465I
b = 1.283560 + 0.468672I
3.88495 − 10.41490I 0
u = 0.24673 − 1.41926I
a = 0.15074 + 1.55465I
b = 1.283560 − 0.468672I
3.88495 + 10.41490I 0
u = 0.29309 + 1.41111I
a = −0.00538 − 1.49492I
b = 0.763063 + 0.589715I
5.39679 − 4.00449I 0
u = 0.29309 − 1.41111I
a = −0.00538 + 1.49492I
b = 0.763063 − 0.589715I
5.39679 + 4.00449I 0
u = 0.09209 + 1.44027I
a = −0.009980 − 1.173310I
b = 0.077908 + 0.755724I
5.60105 − 2.33906I 0
u = 0.09209 − 1.44027I
a = −0.009980 + 1.173310I
b = 0.077908 − 0.755724I
5.60105 + 2.33906I 0
u = −0.05220 + 1.44278I
a = 0.76947 + 1.22543I
b = −0.481725 − 1.001430I
9.36512 − 0.24380I 0
u = −0.05220 − 1.44278I
a = 0.76947 − 1.22543I
b = −0.481725 + 1.001430I
9.36512 + 0.24380I 0
u = 0.15627 + 1.44707I
a = −0.665878 + 0.986739I
b = 0.885210 − 0.764178I
5.06496 + 1.24276I 0
u = 0.15627 − 1.44707I
a = −0.665878 − 0.986739I
b = 0.885210 + 0.764178I
5.06496 − 1.24276I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.493511 + 0.222405I
a = 0.27867 − 2.67640I
b = −1.098540 + 0.009317I
−7.73990 + 0.30324I −10.22397 + 1.81420I
u = −0.493511 − 0.222405I
a = 0.27867 + 2.67640I
b = −1.098540 − 0.009317I
−7.73990 − 0.30324I −10.22397 − 1.81420I
u = 0.30264 + 1.43258I
a = 0.261994 + 1.189960I
b = −1.271090 − 0.348276I
1.44040 − 6.34992I 0
u = 0.30264 − 1.43258I
a = 0.261994 − 1.189960I
b = −1.271090 + 0.348276I
1.44040 + 6.34992I 0
u = −0.487402 + 0.179252I
a = −1.76300 − 0.40363I
b = −0.955363 + 0.526859I
2.04111 + 3.47849I 0.98681 − 5.99163I
u = −0.487402 − 0.179252I
a = −1.76300 + 0.40363I
b = −0.955363 − 0.526859I
2.04111 − 3.47849I 0.98681 + 5.99163I
u = 0.29366 + 1.45267I
a = 0.345081 + 1.327240I
b = −1.280140 − 0.348591I
1.46725 − 6.38484I 0
u = 0.29366 − 1.45267I
a = 0.345081 − 1.327240I
b = −1.280140 + 0.348591I
1.46725 + 6.38484I 0
u = −0.235458 + 0.457864I
a = 0.621199 − 0.179878I
b = −0.554225 − 0.747913I
3.24807 − 1.24361I 3.59115 + 1.44966I
u = −0.235458 − 0.457864I
a = 0.621199 + 0.179878I
b = −0.554225 + 0.747913I
3.24807 + 1.24361I 3.59115 − 1.44966I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.31495 + 1.45741I
a = 0.50195 + 1.43358I
b = −1.278780 − 0.542741I
1.31586 − 6.84522I 0
u = 0.31495 − 1.45741I
a = 0.50195 − 1.43358I
b = −1.278780 + 0.542741I
1.31586 + 6.84522I 0
u = 0.30653 + 1.46274I
a = −0.52357 − 1.71904I
b = 1.30238 + 0.79237I
3.46299 − 11.48740I 0
u = 0.30653 − 1.46274I
a = −0.52357 + 1.71904I
b = 1.30238 − 0.79237I
3.46299 + 11.48740I 0
u = −0.479468 + 0.147171I
a = 1.22541 + 2.78516I
b = 1.363860 − 0.031652I
−6.46178 + 3.74739I −12.72826 − 5.14170I
u = −0.479468 − 0.147171I
a = 1.22541 − 2.78516I
b = 1.363860 + 0.031652I
−6.46178 − 3.74739I −12.72826 + 5.14170I
u = −0.41159 + 1.44962I
a = −0.18195 + 1.55187I
b = 1.263230 − 0.632475I
−2.88992 + 11.81910I 0
u = −0.41159 − 1.44962I
a = −0.18195 − 1.55187I
b = 1.263230 + 0.632475I
−2.88992 − 11.81910I 0
u = −0.37251 + 1.46706I
a = 0.30220 − 1.72005I
b = −1.36377 + 0.69905I
−0.2841 + 18.4649I 0
u = −0.37251 − 1.46706I
a = 0.30220 + 1.72005I
b = −1.36377 − 0.69905I
−0.2841 − 18.4649I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.15497 + 1.50627I
a = −0.579728 + 0.885343I
b = 0.168592 − 0.730217I
7.41143 − 5.79072I 0
u = 0.15497 − 1.50627I
a = −0.579728 − 0.885343I
b = 0.168592 + 0.730217I
7.41143 + 5.79072I 0
u = 0.450685 + 0.076849I
a = 0.137900 + 0.983570I
b = 0.225727 − 1.228120I
1.32498 − 1.46936I −11.05701 + 7.24912I
u = 0.450685 − 0.076849I
a = 0.137900 − 0.983570I
b = 0.225727 + 1.228120I
1.32498 + 1.46936I −11.05701 − 7.24912I
u = 0.307858 + 0.294452I
a = −0.237615 − 0.774490I
b = 0.187265 + 0.319997I
−0.157593 − 0.840081I −3.96230 + 7.90139I
u = 0.307858 − 0.294452I
a = −0.237615 + 0.774490I
b = 0.187265 − 0.319997I
−0.157593 + 0.840081I −3.96230 − 7.90139I
u = −0.413445
a = 1.92266
b = 0.972945
−1.73763 −4.30590
u = 0.15426 + 1.61387I
a = −0.769002 − 0.192663I
b = 0.747488 − 0.125288I
6.30063 − 0.48490I 0
u = 0.15426 − 1.61387I
a = −0.769002 + 0.192663I
b = 0.747488 + 0.125288I
6.30063 + 0.48490I 0
u = 0.04137 + 1.66993I
a = 0.690441 + 0.325659I
b = −0.806095 − 0.233900I
5.90696 − 5.93601I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.04137 − 1.66993I
a = 0.690441 − 0.325659I
b = −0.806095 + 0.233900I
5.90696 + 5.93601I 0
18
II. I
u
2
= h9205u
37
− 56551u
36
+ · · · + 2759b − 17392, 999u
37
+ 1035u
36
+
· · · + 2759a + 9185, u
38
− 4u
37
+ · · · − 8u + 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
−0.362088u
37
− 0.375136u
36
+ ··· + 24.8387u − 3.32910
−3.33635u
37
+ 20.4969u
36
+ ··· − 45.9677u + 6.30373
a
8
=
1
u
2
a
2
=
−3.69844u
37
+ 20.1218u
36
+ ··· − 21.1290u + 2.97463
−3.33635u
37
+ 20.4969u
36
+ ··· − 45.9677u + 6.30373
a
6
=
2.16274u
37
− 9.34433u
36
+ ··· + 28.3226u − 5.23740
−1.69337u
37
+ 5.72309u
36
+ ··· − 0.935484u + 0.837260
a
11
=
u
u
3
+ u
a
9
=
u
2
+ 1
u
4
+ 2u
2
a
5
=
4.93838u
37
− 19.8499u
36
+ ··· + 28.0323u − 6.31352
−1.78144u
37
+ 8.85067u
36
+ ··· − 13.7097u + 2.31606
a
10
=
3.73541u
37
− 16.4505u
36
+ ··· − 23.6129u + 7.34252
1.83182u
37
− 5.25154u
36
+ ··· − 0.483871u − 0.848133
a
4
=
15.7061u
37
− 63.6231u
36
+ ··· + 10.2258u − 2.00326
10.8130u
37
− 50.0656u
36
+ ··· + 32.3871u − 2.11671
a
1
=
−6.60747u
37
+ 24.7572u
36
+ ··· + 9.77419u − 1.07575
−3.02972u
37
+ 18.2200u
36
+ ··· − 30.9032u + 4.14099
(ii) Obstruction class = 1
(iii) Cusp Shapes =
38745
2759
u
37
−
94167
2759
u
36
+ ··· −
3468
31
u +
36250
2759
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
38
− 6u
37
+ ··· + 13u
2
+ 1
c
2
u
38
− 13u
36
+ ··· − 3u + 1
c
3
u
38
+ 19u
36
+ ··· + u + 1
c
4
u
38
+ 6u
37
+ ··· + 13u
2
+ 1
c
5
u
38
− 2u
37
+ ··· + 12u
2
+ 1
c
6
u
38
− 13u
36
+ ··· + 3u + 1
c
7
, c
8
u
38
− 4u
37
+ ··· − 8u + 1
c
9
u
38
+ 2u
37
+ ··· + 12u
2
+ 1
c
10
u
38
+ 19u
36
+ ··· − u + 1
c
11
u
38
+ 4u
37
+ ··· + 8u + 1
c
12
u
38
+ 4u
35
+ ··· − 2u + 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
38
+ 20y
37
+ ··· + 26y + 1
c
2
, c
6
y
38
− 26y
37
+ ··· − 23y + 1
c
3
, c
10
y
38
+ 38y
37
+ ··· + 29y + 1
c
5
, c
9
y
38
+ 26y
37
+ ··· + 24y + 1
c
7
, c
8
, c
11
y
38
+ 40y
37
+ ··· − 12y + 1
c
12
y
38
+ 48y
35
+ ··· + 104y + 1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.829400 + 0.632757I
a = −0.170115 + 0.704812I
b = −1.239580 − 0.048864I
−4.76235 − 2.95488I −15.5954 + 11.2760I
u = 0.829400 − 0.632757I
a = −0.170115 − 0.704812I
b = −1.239580 + 0.048864I
−4.76235 + 2.95488I −15.5954 − 11.2760I
u = −0.341815 + 0.886808I
a = −0.745313 − 0.042177I
b = 1.264250 − 0.007560I
−6.83477 + 1.58763I −9.91981 − 3.28044I
u = −0.341815 − 0.886808I
a = −0.745313 + 0.042177I
b = 1.264250 + 0.007560I
−6.83477 − 1.58763I −9.91981 + 3.28044I
u = −0.435787 + 0.968265I
a = 0.84494 + 1.47737I
b = 0.704165 − 0.031988I
−4.57268 + 1.68867I −13.15213 − 1.79024I
u = −0.435787 − 0.968265I
a = 0.84494 − 1.47737I
b = 0.704165 + 0.031988I
−4.57268 − 1.68867I −13.15213 + 1.79024I
u = 0.789359 + 0.814600I
a = −0.548122 + 0.298692I
b = −0.695934 − 0.027027I
−2.48977 − 2.87526I 1.95441 + 6.56125I
u = 0.789359 − 0.814600I
a = −0.548122 − 0.298692I
b = −0.695934 + 0.027027I
−2.48977 + 2.87526I 1.95441 − 6.56125I
u = 0.010399 + 1.228700I
a = 0.309231 + 1.044540I
b = −1.55837 − 0.15277I
−3.01915 + 3.01131I −4.00000 − 4.54272I
u = 0.010399 − 1.228700I
a = 0.309231 − 1.044540I
b = −1.55837 + 0.15277I
−3.01915 − 3.01131I −4.00000 + 4.54272I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.118933 + 1.261090I
a = 0.73189 − 2.55289I
b = −0.641544 + 0.528214I
0.96913 + 6.34369I 0
u = −0.118933 − 1.261090I
a = 0.73189 + 2.55289I
b = −0.641544 − 0.528214I
0.96913 − 6.34369I 0
u = −0.086452 + 1.266230I
a = 0.000309 − 0.691748I
b = 1.43503 + 0.25509I
−4.35576 + 0.36726I 0
u = −0.086452 − 1.266230I
a = 0.000309 + 0.691748I
b = 1.43503 − 0.25509I
−4.35576 − 0.36726I 0
u = 0.703635 + 0.134692I
a = 0.783186 − 0.127218I
b = 0.849502 − 0.616494I
1.59940 + 2.45766I −0.390517 + 0.523015I
u = 0.703635 − 0.134692I
a = 0.783186 + 0.127218I
b = 0.849502 + 0.616494I
1.59940 − 2.45766I −0.390517 − 0.523015I
u = 0.320411 + 1.314720I
a = 0.18423 − 1.59625I
b = 1.065150 + 0.673724I
5.41099 − 6.24607I 0
u = 0.320411 − 1.314720I
a = 0.18423 + 1.59625I
b = 1.065150 − 0.673724I
5.41099 + 6.24607I 0
u = 0.131173 + 0.630994I
a = 1.18600 + 1.35748I
b = −1.397290 + 0.072984I
−5.34784 − 3.35504I −6.43794 + 3.35733I
u = 0.131173 − 0.630994I
a = 1.18600 − 1.35748I
b = −1.397290 − 0.072984I
−5.34784 + 3.35504I −6.43794 − 3.35733I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.101309 + 1.364240I
a = 0.12394 − 1.81977I
b = −0.326910 + 1.080040I
6.18251 − 2.31836I 0
u = 0.101309 − 1.364240I
a = 0.12394 + 1.81977I
b = −0.326910 − 1.080040I
6.18251 + 2.31836I 0
u = 0.165128 + 1.395830I
a = −0.457028 + 1.056400I
b = 0.501289 − 0.970385I
6.91204 − 0.54005I 0
u = 0.165128 − 1.395830I
a = −0.457028 − 1.056400I
b = 0.501289 + 0.970385I
6.91204 + 0.54005I 0
u = −0.190488 + 1.401030I
a = −1.13343 + 1.67701I
b = 0.944358 − 0.423476I
−2.28105 + 3.72505I 0
u = −0.190488 − 1.401030I
a = −1.13343 − 1.67701I
b = 0.944358 + 0.423476I
−2.28105 − 3.72505I 0
u = −0.185652 + 0.490467I
a = −2.34521 − 1.74414I
b = −0.615697 − 0.331521I
−1.81186 − 5.12468I −10.99630 + 5.38188I
u = −0.185652 − 0.490467I
a = −2.34521 + 1.74414I
b = −0.615697 + 0.331521I
−1.81186 + 5.12468I −10.99630 − 5.38188I
u = −0.458666 + 0.230830I
a = −0.42238 + 2.36574I
b = 1.159010 − 0.243734I
−7.53914 + 1.24505I −7.52833 − 3.93066I
u = −0.458666 − 0.230830I
a = −0.42238 − 2.36574I
b = 1.159010 + 0.243734I
−7.53914 − 1.24505I −7.52833 + 3.93066I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.27999 + 1.48577I
a = 0.533925 + 1.215120I
b = −1.306890 − 0.294184I
1.90461 − 6.77646I 0
u = 0.27999 − 1.48577I
a = 0.533925 − 1.215120I
b = −1.306890 + 0.294184I
1.90461 + 6.77646I 0
u = 0.15634 + 1.50594I
a = −0.089046 + 0.381398I
b = 0.361477 − 0.494318I
7.10055 − 0.57651I 0
u = 0.15634 − 1.50594I
a = −0.089046 − 0.381398I
b = 0.361477 + 0.494318I
7.10055 + 0.57651I 0
u = 0.08831 + 1.59990I
a = 0.164655 − 0.091726I
b = −0.456278 − 0.095256I
6.25093 − 5.33963I 0
u = 0.08831 − 1.59990I
a = 0.164655 + 0.091726I
b = −0.456278 + 0.095256I
6.25093 + 5.33963I 0
u = 0.242340 + 0.071540I
a = 2.04834 + 2.05279I
b = −0.045740 − 0.914708I
1.74940 + 1.07831I 0.42240 + 1.41945I
u = 0.242340 − 0.071540I
a = 2.04834 − 2.05279I
b = −0.045740 + 0.914708I
1.74940 − 1.07831I 0.42240 − 1.41945I
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
38
− 6u
37
+ ··· + 13u
2
+ 1)(u
131
− 3u
130
+ ··· − 5u + 1)
c
2
(u
38
− 13u
36
+ ··· − 3u + 1)(u
131
− u
130
+ ··· + 124858u + 34547)
c
3
(u
38
+ 19u
36
+ ··· + u + 1)(u
131
+ u
130
+ ··· − 3046848u + 2207401)
c
4
(u
38
+ 6u
37
+ ··· + 13u
2
+ 1)(u
131
− 3u
130
+ ··· − 5u + 1)
c
5
(u
38
− 2u
37
+ ··· + 12u
2
+ 1)(u
131
− 3u
130
+ ··· − 20576u + 928)
c
6
(u
38
− 13u
36
+ ··· + 3u + 1)(u
131
− u
130
+ ··· + 124858u + 34547)
c
7
, c
8
(u
38
− 4u
37
+ ··· − 8u + 1)(u
131
− 3u
130
+ ··· + 6557u − 1003)
c
9
(u
38
+ 2u
37
+ ··· + 12u
2
+ 1)(u
131
− 3u
130
+ ··· − 20576u + 928)
c
10
(u
38
+ 19u
36
+ ··· − u + 1)(u
131
+ u
130
+ ··· − 3046848u + 2207401)
c
11
(u
38
+ 4u
37
+ ··· + 8u + 1)(u
131
− 3u
130
+ ··· + 6557u − 1003)
c
12
(u
38
+ 4u
35
+ ··· − 2u + 1)(u
131
+ u
130
+ ··· − 102925u + 30725)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
38
+ 20y
37
+ ··· + 26y + 1)(y
131
+ 63y
130
+ ··· − 95y −1)
c
2
, c
6
(y
38
− 26y
37
+ ··· − 23y + 1)
· (y
131
− 79y
130
+ ··· + 24976423722y −1193495209)
c
3
, c
10
(y
38
+ 38y
37
+ ··· + 29y + 1)
· (y
131
+ 97y
130
+ ··· − 107213854635398y −4872619174801)
c
5
, c
9
(y
38
+ 26y
37
+ ··· + 24y + 1)
· (y
131
+ 81y
130
+ ··· + 109900800y −861184)
c
7
, c
8
, c
11
(y
38
+ 40y
37
+ ··· − 12y + 1)
· (y
131
+ 123y
130
+ ··· + 26057591y −1006009)
c
12
(y
38
+ 48y
35
+ ··· + 104y + 1)
· (y
131
− y
130
+ ··· − 182071674025y −944025625)
27
