12a
0154
(K12a
0154
)
A knot diagram
1
Linearized knot diagam
3 5 9 2 11 10 12 4 7 1 8 6
Solving Sequence
4,8
9
3,12
7 10 6 1 2 11 5
c
8
c
3
c
7
c
9
c
6
c
12
c
1
c
11
c
5
c
2
, c
4
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.02998 × 10
761
u
152
+ 2.57836 × 10
761
u
151
+ ··· + 1.06742 × 10
765
b + 1.14062 × 10
766
,
2.20954 × 10
765
u
152
+ 1.24228 × 10
765
u
151
+ ··· + 2.61518 × 10
768
a 1.91271 × 10
769
,
u
153
u
152
+ ··· 100352u + 25088i
I
u
2
= h−17789137958u
23
+ 33220776343u
22
+ ··· + 123456179965b + 41044745272,
622863190774u
23
45963389324u
22
+ ··· + 123456179965a + 2100783655234,
u
24
+ 6u
22
+ ··· + 3u + 1i
I
v
1
= ha, 82026v
8
2033115v
7
+ ··· + 764761b + 1552510,
7v
9
+ 3v
8
+ 2v
7
14v
6
23v
5
+ 33v
4
v
3
8v
2
+ v + 1i
* 3 irreducible components of dim
C
= 0, with total 186 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
= h1.03 × 10
761
u
152
+ 2.58 × 10
761
u
151
+ · · · + 1.07 × 10
765
b + 1.14 ×
10
766
, 2.21 × 10
765
u
152
+ 1.24 × 10
765
u
151
+ · · · + 2.62 × 10
768
a 1.91 ×
10
769
, u
153
u
152
+ · · · 100352u + 25088i
(i) Arc colorings
a
4
=
0
u
a
8
=
1
0
a
9
=
1
u
2
a
3
=
u
u
3
+ u
a
12
=
0.000844890u
152
0.000475027u
151
+ ··· + 19.1237u + 7.31387
0.0000964918u
152
0.000241550u
151
+ ··· + 37.0831u 10.6858
a
7
=
0.00112273u
152
0.00136252u
151
+ ··· + 138.408u 25.4192
0.000859123u
152
+ 0.000740375u
151
+ ··· 37.0962u + 0.767980
a
10
=
0.000925760u
152
0.000112605u
151
+ ··· 40.1665u + 26.1899
0.000336810u
152
0.00101223u
151
+ ··· + 93.6762u 21.8306
a
6
=
0.000495709u
152
+ 0.000282113u
151
+ ··· 94.5284u + 28.2025
0.000105642u
152
+ 0.000249707u
151
+ ··· 29.9100u + 5.04860
a
1
=
0.000710992u
152
0.000378253u
151
+ ··· + 4.68980u + 5.82071
0.0000403797u
152
0.0000501797u
151
+ ··· + 22.7835u 6.64752
a
2
=
0.000469687u
152
0.000216188u
151
+ ··· + 3.01774u + 4.10464
0.000116324u
152
+ 0.0000557221u
151
+ ··· + 19.2135u 6.37565
a
11
=
0.000748398u
152
0.000716577u
151
+ ··· + 56.2068u 3.37190
0.0000964918u
152
0.000241550u
151
+ ··· + 37.0831u 10.6858
a
5
=
0.000340256u
152
0.000271854u
151
+ ··· 2.54011u + 4.12049
0.000370736u
152
+ 0.000106399u
151
+ ··· 7.22991u 1.70022
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.000503104u
152
+ 0.00134742u
151
+ ··· 176.014u + 50.8730
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
153
+ 76u
152
+ ··· + 169142u + 2401
c
2
, c
4
u
153
14u
152
+ ··· 762u + 49
c
3
, c
8
u
153
u
152
+ ··· 100352u + 25088
c
5
u
153
u
152
+ ··· + 118105u + 15199
c
6
, c
9
u
153
+ 3u
152
+ ··· + 50071u + 3559
c
7
, c
11
u
153
+ 2u
152
+ ··· + 1528u + 649
c
10
u
153
20u
152
+ ··· + 18213u + 14027
c
12
u
153
10u
152
+ ··· + 14u + 17
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
153
+ 16y
152
+ ··· + 4705654178y 5764801
c
2
, c
4
y
153
76y
152
+ ··· + 169142y 2401
c
3
, c
8
y
153
+ 69y
152
+ ··· 16338911232y 629407744
c
5
y
153
+ 3y
152
+ ··· 3235076783y 231009601
c
6
, c
9
y
153
+ 99y
152
+ ··· 548780483y 12666481
c
7
, c
11
y
153
+ 96y
152
+ ··· 17206606y 421201
c
10
y
153
40y
152
+ ··· + 18060550885y 196756729
c
12
y
153
8y
152
+ ··· 9698y 289
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.535685 + 0.850064I
a = 0.957779 + 0.744294I
b = 1.120390 + 0.276457I
6.54190 + 4.09896I 0
u = 0.535685 0.850064I
a = 0.957779 0.744294I
b = 1.120390 0.276457I
6.54190 4.09896I 0
u = 0.445504 + 0.916237I
a = 1.78652 2.00173I
b = 0.362762 + 1.135490I
0.46000 + 4.24652I 0
u = 0.445504 0.916237I
a = 1.78652 + 2.00173I
b = 0.362762 1.135490I
0.46000 4.24652I 0
u = 0.963884 + 0.333339I
a = 0.449763 0.089990I
b = 0.820219 1.135580I
0.38761 + 5.07239I 0
u = 0.963884 0.333339I
a = 0.449763 + 0.089990I
b = 0.820219 + 1.135580I
0.38761 5.07239I 0
u = 0.876915 + 0.376484I
a = 1.152500 + 0.137808I
b = 0.508008 + 0.009450I
1.93090 + 3.15315I 0
u = 0.876915 0.376484I
a = 1.152500 0.137808I
b = 0.508008 0.009450I
1.93090 3.15315I 0
u = 0.609060 + 0.856031I
a = 0.449094 0.010633I
b = 0.492806 0.505007I
1.61580 + 2.44952I 0
u = 0.609060 0.856031I
a = 0.449094 + 0.010633I
b = 0.492806 + 0.505007I
1.61580 2.44952I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.204374 + 1.045990I
a = 1.53157 + 2.23881I
b = 0.036430 0.934205I
1.15055 2.63661I 0
u = 0.204374 1.045990I
a = 1.53157 2.23881I
b = 0.036430 + 0.934205I
1.15055 + 2.63661I 0
u = 0.508162 + 0.782935I
a = 0.266025 0.838281I
b = 1.134630 + 0.627976I
6.76823 + 0.15150I 0
u = 0.508162 0.782935I
a = 0.266025 + 0.838281I
b = 1.134630 0.627976I
6.76823 0.15150I 0
u = 0.922935 + 0.121870I
a = 0.581391 0.011746I
b = 0.585755 1.155070I
0.157068 + 1.043870I 0
u = 0.922935 0.121870I
a = 0.581391 + 0.011746I
b = 0.585755 + 1.155070I
0.157068 1.043870I 0
u = 0.903920 + 0.209501I
a = 0.553053 + 0.124360I
b = 0.270744 1.172410I
2.95829 + 2.47842I 0
u = 0.903920 0.209501I
a = 0.553053 0.124360I
b = 0.270744 + 1.172410I
2.95829 2.47842I 0
u = 0.300782 + 0.875145I
a = 0.729671 + 0.099867I
b = 0.663486 0.115067I
2.14959 1.73247I 0
u = 0.300782 0.875145I
a = 0.729671 0.099867I
b = 0.663486 + 0.115067I
2.14959 + 1.73247I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.258744 + 1.046120I
a = 0.44696 2.03128I
b = 0.26976 + 1.75917I
5.01099 + 0.58946I 0
u = 0.258744 1.046120I
a = 0.44696 + 2.03128I
b = 0.26976 1.75917I
5.01099 0.58946I 0
u = 0.642698 + 0.645143I
a = 0.136532 + 0.483931I
b = 0.665064 0.759183I
6.10563 7.70875I 0
u = 0.642698 0.645143I
a = 0.136532 0.483931I
b = 0.665064 + 0.759183I
6.10563 + 7.70875I 0
u = 0.801085 + 0.431000I
a = 0.310129 0.841518I
b = 0.344721 1.277040I
0.54761 1.44300I 0
u = 0.801085 0.431000I
a = 0.310129 + 0.841518I
b = 0.344721 + 1.277040I
0.54761 + 1.44300I 0
u = 0.002838 + 1.091580I
a = 0.278846 + 0.243125I
b = 1.151340 + 0.385985I
0.67913 5.24901I 0
u = 0.002838 1.091580I
a = 0.278846 0.243125I
b = 1.151340 0.385985I
0.67913 + 5.24901I 0
u = 0.777727 + 0.468389I
a = 0.032062 1.364940I
b = 0.364302 + 1.038620I
3.53913 4.44208I 0
u = 0.777727 0.468389I
a = 0.032062 + 1.364940I
b = 0.364302 1.038620I
3.53913 + 4.44208I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.681603 + 0.856158I
a = 0.383637 0.453388I
b = 0.097180 0.443108I
1.64798 + 2.66834I 0
u = 0.681603 0.856158I
a = 0.383637 + 0.453388I
b = 0.097180 + 0.443108I
1.64798 2.66834I 0
u = 0.448783 + 0.780419I
a = 0.460069 + 0.006024I
b = 0.367827 + 0.888025I
0.011275 0.515252I 0
u = 0.448783 0.780419I
a = 0.460069 0.006024I
b = 0.367827 0.888025I
0.011275 + 0.515252I 0
u = 0.354401 + 1.046270I
a = 0.040555 0.277760I
b = 1.137550 0.683186I
0.071240 + 0.591588I 0
u = 0.354401 1.046270I
a = 0.040555 + 0.277760I
b = 1.137550 + 0.683186I
0.071240 0.591588I 0
u = 0.382598 + 1.036750I
a = 0.60471 + 2.75188I
b = 0.252020 1.126350I
0.49834 4.72614I 0
u = 0.382598 1.036750I
a = 0.60471 2.75188I
b = 0.252020 + 1.126350I
0.49834 + 4.72614I 0
u = 0.815720 + 0.746625I
a = 0.225791 + 0.746248I
b = 0.316503 + 0.379948I
5.37187 + 1.31466I 0
u = 0.815720 0.746625I
a = 0.225791 0.746248I
b = 0.316503 0.379948I
5.37187 1.31466I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.955575 + 0.565339I
a = 0.587877 0.950056I
b = 1.218280 + 0.222612I
5.98888 6.70269I 0
u = 0.955575 0.565339I
a = 0.587877 + 0.950056I
b = 1.218280 0.222612I
5.98888 + 6.70269I 0
u = 0.182390 + 1.095740I
a = 0.168163 0.255873I
b = 0.715456 + 0.340843I
3.19945 + 0.72226I 0
u = 0.182390 1.095740I
a = 0.168163 + 0.255873I
b = 0.715456 0.340843I
3.19945 0.72226I 0
u = 0.805754 + 0.768499I
a = 0.337734 + 0.305147I
b = 0.193217 + 0.385041I
5.39360 + 1.42120I 0
u = 0.805754 0.768499I
a = 0.337734 0.305147I
b = 0.193217 0.385041I
5.39360 1.42120I 0
u = 0.348398 + 1.061970I
a = 0.99845 1.60723I
b = 0.49146 + 1.45501I
4.66993 1.60864I 0
u = 0.348398 1.061970I
a = 0.99845 + 1.60723I
b = 0.49146 1.45501I
4.66993 + 1.60864I 0
u = 0.530265 + 1.000750I
a = 0.437822 0.746270I
b = 0.644088 + 1.066550I
2.51484 + 2.05166I 0
u = 0.530265 1.000750I
a = 0.437822 + 0.746270I
b = 0.644088 1.066550I
2.51484 2.05166I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.754916 + 0.396167I
a = 0.337136 + 1.209200I
b = 0.910902 0.277632I
3.73555 + 2.61983I 0
u = 0.754916 0.396167I
a = 0.337136 1.209200I
b = 0.910902 + 0.277632I
3.73555 2.61983I 0
u = 0.200182 + 0.827275I
a = 0.766133 + 0.583290I
b = 0.635459 0.905618I
0.70464 + 2.18373I 0
u = 0.200182 0.827275I
a = 0.766133 0.583290I
b = 0.635459 + 0.905618I
0.70464 2.18373I 0
u = 1.025680 + 0.527430I
a = 0.470833 0.112701I
b = 0.416683 + 1.162410I
1.21069 6.89643I 0
u = 1.025680 0.527430I
a = 0.470833 + 0.112701I
b = 0.416683 1.162410I
1.21069 + 6.89643I 0
u = 0.369768 + 1.113800I
a = 0.290481 0.523778I
b = 0.680367 0.072356I
2.45307 + 3.31889I 0
u = 0.369768 1.113800I
a = 0.290481 + 0.523778I
b = 0.680367 + 0.072356I
2.45307 3.31889I 0
u = 1.137740 + 0.304996I
a = 0.040385 + 0.439482I
b = 0.553752 1.228560I
0.70902 7.98208I 0
u = 1.137740 0.304996I
a = 0.040385 0.439482I
b = 0.553752 + 1.228560I
0.70902 + 7.98208I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.466239 + 1.093730I
a = 0.72766 2.29526I
b = 0.621432 + 1.262100I
3.40243 10.22740I 0
u = 0.466239 1.093730I
a = 0.72766 + 2.29526I
b = 0.621432 1.262100I
3.40243 + 10.22740I 0
u = 0.475035 + 1.092450I
a = 0.172016 + 0.035937I
b = 0.748153 0.597520I
1.78661 + 4.16402I 0
u = 0.475035 1.092450I
a = 0.172016 0.035937I
b = 0.748153 + 0.597520I
1.78661 4.16402I 0
u = 0.495026 + 1.083820I
a = 1.63582 1.32478I
b = 0.224946 + 0.846168I
0.38974 2.15739I 0
u = 0.495026 1.083820I
a = 1.63582 + 1.32478I
b = 0.224946 0.846168I
0.38974 + 2.15739I 0
u = 0.152811 + 0.785601I
a = 0.27774 + 3.81988I
b = 0.714576 1.068750I
1.47879 2.88577I 8.00000 + 0.I
u = 0.152811 0.785601I
a = 0.27774 3.81988I
b = 0.714576 + 1.068750I
1.47879 + 2.88577I 8.00000 + 0.I
u = 0.176246 + 0.773662I
a = 0.482610 0.141298I
b = 0.116541 0.720019I
0.76492 + 3.31721I 0. 8.04165I
u = 0.176246 0.773662I
a = 0.482610 + 0.141298I
b = 0.116541 + 0.720019I
0.76492 3.31721I 0. + 8.04165I
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.558564 + 0.552366I
a = 3.74217 2.83400I
b = 0.462300 + 0.973230I
3.84037 + 2.35778I 15.4899 4.8701I
u = 0.558564 0.552366I
a = 3.74217 + 2.83400I
b = 0.462300 0.973230I
3.84037 2.35778I 15.4899 + 4.8701I
u = 0.450215 + 0.639870I
a = 2.57702 + 1.32495I
b = 0.177883 1.146750I
0.059344 0.653379I 8.00000 + 0.I
u = 0.450215 0.639870I
a = 2.57702 1.32495I
b = 0.177883 + 1.146750I
0.059344 + 0.653379I 8.00000 + 0.I
u = 0.535702 + 1.095500I
a = 0.82276 + 1.48947I
b = 0.19824 1.88735I
3.27382 5.45616I 0
u = 0.535702 1.095500I
a = 0.82276 1.48947I
b = 0.19824 + 1.88735I
3.27382 + 5.45616I 0
u = 0.746802 + 0.969424I
a = 0.277624 + 0.382748I
b = 0.031623 + 0.371474I
4.78165 7.26278I 0
u = 0.746802 0.969424I
a = 0.277624 0.382748I
b = 0.031623 0.371474I
4.78165 + 7.26278I 0
u = 1.212260 + 0.176281I
a = 0.302197 + 0.782964I
b = 0.130880 0.753790I
1.88517 + 2.34362I 0
u = 1.212260 0.176281I
a = 0.302197 0.782964I
b = 0.130880 + 0.753790I
1.88517 2.34362I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.550216 + 1.100350I
a = 0.478305 0.430420I
b = 1.320680 0.128865I
1.60886 7.51304I 0
u = 0.550216 1.100350I
a = 0.478305 + 0.430420I
b = 1.320680 + 0.128865I
1.60886 + 7.51304I 0
u = 0.304943 + 0.691304I
a = 0.07698 + 1.55372I
b = 0.483695 0.070669I
2.73096 1.04396I 10.23832 + 5.73431I
u = 0.304943 0.691304I
a = 0.07698 1.55372I
b = 0.483695 + 0.070669I
2.73096 + 1.04396I 10.23832 5.73431I
u = 0.712071 + 1.022870I
a = 0.288373 0.107361I
b = 0.671877 + 0.301176I
4.47893 7.12118I 0
u = 0.712071 1.022870I
a = 0.288373 + 0.107361I
b = 0.671877 0.301176I
4.47893 + 7.12118I 0
u = 0.684741 + 0.297273I
a = 0.845673 0.021751I
b = 0.034238 + 1.161630I
2.58263 1.72264I 1.48426 + 4.56743I
u = 0.684741 0.297273I
a = 0.845673 + 0.021751I
b = 0.034238 1.161630I
2.58263 + 1.72264I 1.48426 4.56743I
u = 0.655157 + 0.357234I
a = 3.10571 0.15746I
b = 0.08775 1.68660I
1.129760 + 0.814632I 13.41803 2.99025I
u = 0.655157 0.357234I
a = 3.10571 + 0.15746I
b = 0.08775 + 1.68660I
1.129760 0.814632I 13.41803 + 2.99025I
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.185061 + 1.241300I
a = 0.20210 + 2.01403I
b = 0.278654 0.906986I
3.80031 + 0.34121I 0
u = 0.185061 1.241300I
a = 0.20210 2.01403I
b = 0.278654 + 0.906986I
3.80031 0.34121I 0
u = 0.605985 + 1.099590I
a = 0.98424 2.11885I
b = 0.335725 + 1.216940I
1.62186 + 9.68707I 0
u = 0.605985 1.099590I
a = 0.98424 + 2.11885I
b = 0.335725 1.216940I
1.62186 9.68707I 0
u = 0.580152 + 1.119200I
a = 1.03851 + 1.16281I
b = 0.64235 1.34975I
2.69237 + 6.63075I 0
u = 0.580152 1.119200I
a = 1.03851 1.16281I
b = 0.64235 + 1.34975I
2.69237 6.63075I 0
u = 0.219692 + 1.258350I
a = 0.69073 1.41220I
b = 0.56727 + 1.35496I
5.13882 + 1.56779I 0
u = 0.219692 1.258350I
a = 0.69073 + 1.41220I
b = 0.56727 1.35496I
5.13882 1.56779I 0
u = 0.394143 + 1.217230I
a = 0.42981 1.84373I
b = 0.87948 + 1.25447I
4.36623 + 5.28259I 0
u = 0.394143 1.217230I
a = 0.42981 + 1.84373I
b = 0.87948 1.25447I
4.36623 5.28259I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.148120 + 0.566655I
a = 0.046165 0.413988I
b = 0.64243 + 1.30888I
2.53615 + 13.16840I 0
u = 1.148120 0.566655I
a = 0.046165 + 0.413988I
b = 0.64243 1.30888I
2.53615 13.16840I 0
u = 0.583837 + 1.142450I
a = 0.477542 + 0.394803I
b = 0.676892 + 0.255110I
0.47061 8.49310I 0
u = 0.583837 1.142450I
a = 0.477542 0.394803I
b = 0.676892 0.255110I
0.47061 + 8.49310I 0
u = 0.031866 + 1.305860I
a = 0.28092 + 1.86012I
b = 0.257800 1.360700I
8.53653 4.24665I 0
u = 0.031866 1.305860I
a = 0.28092 1.86012I
b = 0.257800 + 1.360700I
8.53653 + 4.24665I 0
u = 0.566610 + 1.177710I
a = 1.22282 + 1.44594I
b = 0.463230 1.217480I
5.83587 7.72355I 0
u = 0.566610 1.177710I
a = 1.22282 1.44594I
b = 0.463230 + 1.217480I
5.83587 + 7.72355I 0
u = 0.625190 + 0.265196I
a = 2.16805 0.63872I
b = 0.130356 + 0.696158I
2.69283 2.12824I 10.87511 + 1.79346I
u = 0.625190 0.265196I
a = 2.16805 + 0.63872I
b = 0.130356 0.696158I
2.69283 + 2.12824I 10.87511 1.79346I
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.671514 + 0.096820I
a = 1.077210 + 0.006923I
b = 0.384614 0.209496I
0.941917 0.128738I 8.86024 1.07665I
u = 0.671514 0.096820I
a = 1.077210 0.006923I
b = 0.384614 + 0.209496I
0.941917 + 0.128738I 8.86024 + 1.07665I
u = 0.273652 + 0.619851I
a = 0.035044 + 0.803485I
b = 0.835564 0.897902I
5.78318 + 2.01516I 9.15865 7.62858I
u = 0.273652 0.619851I
a = 0.035044 0.803485I
b = 0.835564 + 0.897902I
5.78318 2.01516I 9.15865 + 7.62858I
u = 0.220921 + 1.303860I
a = 0.14696 1.78419I
b = 0.148798 + 1.387450I
8.17021 1.41350I 0
u = 0.220921 1.303860I
a = 0.14696 + 1.78419I
b = 0.148798 1.387450I
8.17021 + 1.41350I 0
u = 0.476908 + 1.242780I
a = 0.826029 + 1.009660I
b = 0.41478 1.39469I
3.75333 + 3.98207I 0
u = 0.476908 1.242780I
a = 0.826029 1.009660I
b = 0.41478 + 1.39469I
3.75333 3.98207I 0
u = 0.701739 + 1.133870I
a = 0.310858 + 0.551653I
b = 1.41911 + 0.22157I
4.17318 + 12.79720I 0
u = 0.701739 1.133870I
a = 0.310858 0.551653I
b = 1.41911 0.22157I
4.17318 12.79720I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.366926 + 0.545492I
a = 0.100820 0.430686I
b = 0.787889 + 1.063920I
5.33229 + 6.54252I 9.66566 + 3.71560I
u = 0.366926 0.545492I
a = 0.100820 + 0.430686I
b = 0.787889 1.063920I
5.33229 6.54252I 9.66566 3.71560I
u = 0.611183 + 1.208950I
a = 0.78814 + 1.61215I
b = 0.98635 1.22650I
2.35547 10.80480I 0
u = 0.611183 1.208950I
a = 0.78814 1.61215I
b = 0.98635 + 1.22650I
2.35547 + 10.80480I 0
u = 0.719427 + 1.172540I
a = 1.28956 1.17905I
b = 0.527424 + 1.183770I
3.26481 + 13.23710I 0
u = 0.719427 1.172540I
a = 1.28956 + 1.17905I
b = 0.527424 1.183770I
3.26481 13.23710I 0
u = 0.64800 + 1.25725I
a = 0.78304 + 1.72387I
b = 0.64458 1.37215I
2.3368 + 14.2623I 0
u = 0.64800 1.25725I
a = 0.78304 1.72387I
b = 0.64458 + 1.37215I
2.3368 14.2623I 0
u = 1.33479 + 0.51134I
a = 0.058226 0.594925I
b = 0.243730 + 0.918437I
1.16480 + 4.56244I 0
u = 1.33479 0.51134I
a = 0.058226 + 0.594925I
b = 0.243730 0.918437I
1.16480 4.56244I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.34576 + 0.50106I
a = 0.199176 + 0.790137I
b = 0.281301 1.063790I
2.44919 3.44783I 0
u = 1.34576 0.50106I
a = 0.199176 0.790137I
b = 0.281301 + 1.063790I
2.44919 + 3.44783I 0
u = 0.65478 + 1.28203I
a = 0.84445 + 1.16407I
b = 0.295587 0.739823I
1.49037 8.72661I 0
u = 0.65478 1.28203I
a = 0.84445 1.16407I
b = 0.295587 + 0.739823I
1.49037 + 8.72661I 0
u = 0.77730 + 1.21528I
a = 0.97429 1.57011I
b = 0.70650 + 1.38800I
0.4238 20.0703I 0
u = 0.77730 1.21528I
a = 0.97429 + 1.57011I
b = 0.70650 1.38800I
0.4238 + 20.0703I 0
u = 0.46163 + 1.37531I
a = 0.72219 1.29824I
b = 0.124408 + 0.834699I
3.60458 + 2.74950I 0
u = 0.46163 1.37531I
a = 0.72219 + 1.29824I
b = 0.124408 0.834699I
3.60458 2.74950I 0
u = 0.514356 + 0.114421I
a = 1.13849 + 7.13373I
b = 0.519880 + 0.508746I
2.79806 + 3.16139I 17.8778 3.5823I
u = 0.514356 0.114421I
a = 1.13849 7.13373I
b = 0.519880 0.508746I
2.79806 3.16139I 17.8778 + 3.5823I
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.81157 + 1.24680I
a = 0.71258 + 1.47248I
b = 0.379605 1.280520I
0.09625 + 10.86920I 0
u = 0.81157 1.24680I
a = 0.71258 1.47248I
b = 0.379605 + 1.280520I
0.09625 10.86920I 0
u = 0.13934 + 1.48734I
a = 0.11430 + 1.65125I
b = 0.362579 1.298610I
6.11189 + 9.64087I 0
u = 0.13934 1.48734I
a = 0.11430 1.65125I
b = 0.362579 + 1.298610I
6.11189 9.64087I 0
u = 0.499851
a = 1.00285
b = 0.422372
0.842074 11.5210
u = 0.08302 + 1.52870I
a = 0.35740 1.49148I
b = 0.244005 + 1.212190I
6.21066 3.22971I 0
u = 0.08302 1.52870I
a = 0.35740 + 1.49148I
b = 0.244005 1.212190I
6.21066 + 3.22971I 0
u = 0.020109 + 0.465571I
a = 0.993741 0.012339I
b = 0.599793 0.830820I
0.87309 + 2.36039I 4.63324 1.20512I
u = 0.020109 0.465571I
a = 0.993741 + 0.012339I
b = 0.599793 + 0.830820I
0.87309 2.36039I 4.63324 + 1.20512I
u = 0.74263 + 1.34378I
a = 0.50632 1.48354I
b = 0.262104 + 1.224100I
2.80976 4.80966I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.74263 1.34378I
a = 0.50632 + 1.48354I
b = 0.262104 1.224100I
2.80976 + 4.80966I 0
u = 0.96071 + 1.27483I
a = 0.421617 + 0.761207I
b = 0.098347 0.782292I
4.60981 + 1.86353I 0
u = 0.96071 1.27483I
a = 0.421617 0.761207I
b = 0.098347 + 0.782292I
4.60981 1.86353I 0
20
II.
I
u
2
= h−1.78×10
10
u
23
+3.32×10
10
u
22
+· · ·+1.23×10
11
b+4.10×10
10
, 6.23×
10
11
u
23
4.60×10
10
u
22
+· · ·+1.23×10
11
a+2.10×10
12
, u
24
+6u
22
+· · ·+3u+1i
(i) Arc colorings
a
4
=
0
u
a
8
=
1
0
a
9
=
1
u
2
a
3
=
u
u
3
+ u
a
12
=
5.04522u
23
+ 0.372305u
22
+ ··· 14.3586u 17.0164
0.144093u
23
0.269090u
22
+ ··· + 0.758652u 0.332464
a
7
=
1.06367u
23
1.88116u
22
+ ··· + 14.0431u 4.29037
0.135846u
23
0.0946331u
22
+ ··· + 1.96665u + 0.813872
a
10
=
4.15603u
23
+ 0.0371191u
22
+ ··· 11.7454u 14.9491
0.144093u
23
0.269090u
22
+ ··· + 0.758652u 0.332464
a
6
=
5.65892u
23
+ 1.12042u
22
+ ··· 16.1925u 15.8827
0.0216583u
23
0.0159152u
22
+ ··· + 2.08303u + 0.149058
a
1
=
1.15388u
23
+ 0.396430u
22
+ ··· 3.81616u 2.21358
0.123678u
23
0.0283571u
22
+ ··· + 0.0809646u 0.0612439
a
2
=
1.29882u
23
+ 0.303702u
22
+ ··· 3.72961u 2.53129
0.208641u
23
0.0459699u
22
+ ··· + 0.590643u 0.286228
a
11
=
4.90112u
23
+ 0.103216u
22
+ ··· 13.5999u 17.3489
0.144093u
23
0.269090u
22
+ ··· + 0.758652u 0.332464
a
5
=
1.03969u
23
0.317712u
22
+ ··· + 3.93254u + 2.54876
0.114188u
23
+ 0.0787179u
22
+ ··· + 0.116374u + 0.335186
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
1467040447468
123456179965
u
23
+
455607258203
123456179965
u
22
+ ···
6992112076971
123456179965
u
3837088950818
123456179965
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
24
12u
23
+ ··· u + 1
c
2
u
24
+ 4u
23
+ ··· + 3u + 1
c
3
u
24
+ 6u
22
+ ··· 3u + 1
c
4
u
24
4u
23
+ ··· 3u + 1
c
5
u
24
+ 3u
23
+ ··· + 5u
3
+ 1
c
6
u
24
+ 3u
23
+ ··· + 12u
2
+ 1
c
7
u
24
+ 12u
22
+ ··· 3u + 1
c
8
u
24
+ 6u
22
+ ··· + 3u + 1
c
9
u
24
3u
23
+ ··· + 12u
2
+ 1
c
10
u
24
6u
22
+ ··· 12u + 1
c
11
u
24
+ 12u
22
+ ··· + 3u + 1
c
12
u
24
5u
21
+ ··· 3u + 1
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
24
+ 4y
23
+ ··· 21y + 1
c
2
, c
4
y
24
12y
23
+ ··· y + 1
c
3
, c
8
y
24
+ 12y
23
+ ··· y + 1
c
5
y
24
5y
23
+ ··· 6y
2
+ 1
c
6
, c
9
y
24
+ 19y
23
+ ··· + 24y + 1
c
7
, c
11
y
24
+ 24y
23
+ ··· + 19y + 1
c
10
y
24
12y
23
+ ··· 12y + 1
c
12
y
24
6y
22
+ ··· 5y + 1
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.385812 + 0.959765I
a = 0.888808 0.037073I
b = 0.595502 + 0.631954I
1.33907 + 0.48887I 9.91527 0.20213I
u = 0.385812 0.959765I
a = 0.888808 + 0.037073I
b = 0.595502 0.631954I
1.33907 0.48887I 9.91527 + 0.20213I
u = 1.077360 + 0.108391I
a = 0.075297 0.906894I
b = 0.334692 + 0.897697I
1.69057 3.87913I 9.47886 + 7.35968I
u = 1.077360 0.108391I
a = 0.075297 + 0.906894I
b = 0.334692 0.897697I
1.69057 + 3.87913I 9.47886 7.35968I
u = 0.008495 + 0.868868I
a = 0.794659 0.583248I
b = 0.461312 0.571784I
0.33081 + 3.49000I 8.88183 7.57316I
u = 0.008495 0.868868I
a = 0.794659 + 0.583248I
b = 0.461312 + 0.571784I
0.33081 3.49000I 8.88183 + 7.57316I
u = 0.743321 + 0.919032I
a = 0.077224 + 0.176295I
b = 0.161396 + 0.548115I
4.59064 7.57890I 4.1390 + 15.0235I
u = 0.743321 0.919032I
a = 0.077224 0.176295I
b = 0.161396 0.548115I
4.59064 + 7.57890I 4.1390 15.0235I
u = 0.122647 + 1.176190I
a = 0.57790 + 1.71442I
b = 0.21101 1.58776I
5.66713 0.57004I 0.69951 + 1.76332I
u = 0.122647 1.176190I
a = 0.57790 1.71442I
b = 0.21101 + 1.58776I
5.66713 + 0.57004I 0.69951 1.76332I
26
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.569181 + 0.581107I
a = 0.571641 0.327832I
b = 0.284741 0.656736I
1.37593 + 3.51457I 7.17387 6.69949I
u = 0.569181 0.581107I
a = 0.571641 + 0.327832I
b = 0.284741 + 0.656736I
1.37593 3.51457I 7.17387 + 6.69949I
u = 0.449036 + 1.170250I
a = 0.92955 1.20422I
b = 0.16034 + 1.69292I
4.46285 4.61755I 0.52048 + 4.72657I
u = 0.449036 1.170250I
a = 0.92955 + 1.20422I
b = 0.16034 1.69292I
4.46285 + 4.61755I 0.52048 4.72657I
u = 0.615552 + 0.171616I
a = 1.21237 + 3.01743I
b = 0.05347 + 1.55815I
1.50297 + 0.47371I 3.53428 + 7.18464I
u = 0.615552 0.171616I
a = 1.21237 3.01743I
b = 0.05347 1.55815I
1.50297 0.47371I 3.53428 7.18464I
u = 0.464020 + 1.310710I
a = 0.43654 + 1.72106I
b = 0.434102 1.121700I
3.62995 4.17688I 4.23406 + 3.79944I
u = 0.464020 1.310710I
a = 0.43654 1.72106I
b = 0.434102 + 1.121700I
3.62995 + 4.17688I 4.23406 3.79944I
u = 0.639779 + 1.245700I
a = 0.79005 1.60305I
b = 0.580023 + 1.066030I
1.50968 + 9.96183I 8.32009 8.52814I
u = 0.639779 1.245700I
a = 0.79005 + 1.60305I
b = 0.580023 1.066030I
1.50968 9.96183I 8.32009 + 8.52814I
27
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.847108 + 1.119260I
a = 0.643038 0.601163I
b = 0.074936 + 0.774321I
4.43225 + 1.71576I 1.84111 + 5.35701I
u = 0.847108 1.119260I
a = 0.643038 + 0.601163I
b = 0.074936 0.774321I
4.43225 1.71576I 1.84111 5.35701I
u = 0.332750 + 0.244285I
a = 13.7500 3.6782I
b = 0.430698 + 0.709042I
3.01331 + 2.64864I 17.2617 24.3171I
u = 0.332750 0.244285I
a = 13.7500 + 3.6782I
b = 0.430698 0.709042I
3.01331 2.64864I 17.2617 + 24.3171I
28
III. I
v
1
= ha, 8.20 × 10
4
v
8
2.03 × 10
6
v
7
+ · · · + 7.65 × 10
5
b + 1.55 ×
10
6
, 7v
9
+ 3v
8
+ · · · + v + 1i
(i) Arc colorings
a
4
=
v
0
a
8
=
1
0
a
9
=
1
0
a
3
=
v
0
a
12
=
0
0.107257v
8
+ 2.65850v
7
+ ··· 0.280187v 2.03006
a
7
=
1
2.14626v
8
+ 0.185889v
7
+ ··· 0.429870v 1.30771
a
10
=
2.14626v
8
0.185889v
7
+ ··· + 0.429870v + 2.30771
7.44747v
8
+ 5.03558v
7
+ ··· 3.40173v + 1.94867
a
6
=
5.30121v
8
5.22147v
7
+ ··· + 3.83160v + 0.359036
4.28776v
8
5.68587v
7
+ ··· + 4.90646v + 0.176565
a
1
=
8.01346v
8
+ 2.53560v
7
+ ··· 6.92515v + 0.817529
7v
8
+ 3v
7
+ 2v
6
14v
5
23v
4
+ 33v
3
v
2
8v + 1
a
2
=
8.01346v
8
+ 2.53560v
7
+ ··· 5.92515v + 0.817529
7v
8
+ 3v
7
+ 2v
6
14v
5
23v
4
+ 33v
3
v
2
8v + 1
a
11
=
0.107257v
8
+ 2.65850v
7
+ ··· 0.280187v 2.03006
0.107257v
8
+ 2.65850v
7
+ ··· 0.280187v 2.03006
a
5
=
8.01346v
8
2.53560v
7
+ ··· + 6.92515v 0.817529
7v
8
3v
7
2v
6
+ 14v
5
+ 23v
4
33v
3
+ v
2
+ 8v 1
(ii) Obstruction class = 1
(iii) Cusp Shapes =
17698695
764761
v
8
786460
764761
v
7
+
4755547
764761
v
6
34014228
764761
v
5
35615785
764761
v
4
+
111023508
764761
v
3
50152809
764761
v
2
10570795
764761
v
324941
764761
29
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u 1)
9
c
3
, c
8
u
9
c
4
(u + 1)
9
c
5
, c
10
u
9
+ u
8
2u
7
3u
6
+ u
5
+ 3u
4
+ 2u
3
u 1
c
6
u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u 1
c
7
u
9
+ u
8
+ 2u
7
+ u
6
+ 3u
5
+ u
4
+ 2u
3
+ u 1
c
9
u
9
3u
8
+ 8u
7
13u
6
+ 17u
5
17u
4
+ 12u
3
6u
2
+ u + 1
c
11
u
9
u
8
+ 2u
7
u
6
+ 3u
5
u
4
+ 2u
3
+ u + 1
c
12
u
9
+ 5u
8
+ 12u
7
+ 15u
6
+ 9u
5
u
4
4u
3
2u
2
+ u + 1
30
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
(y 1)
9
c
3
, c
8
y
9
c
5
, c
10
y
9
5y
8
+ 12y
7
15y
6
+ 9y
5
+ y
4
4y
3
+ 2y
2
+ y 1
c
6
, c
9
y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
15y
4
+ 22y
2
+ 13y 1
c
7
, c
11
y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y 1
c
12
y
9
y
8
+ 12y
7
7y
6
+ 37y
5
+ y
4
10y
2
+ 5y 1
31
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
1(vol +
1CS) Cusp shape
v = 0.903964 + 0.094390I
a = 0
b = 0.140343 + 0.966856I
0.13850 2.09337I 5.49232 + 4.08340I
v = 0.903964 0.094390I
a = 0
b = 0.140343 0.966856I
0.13850 + 2.09337I 5.49232 4.08340I
v = 1.42091
a = 0
b = 0.512358
2.84338 14.1380
v = 0.476406 + 0.294981I
a = 0
b = 0.796005 + 0.733148I
6.01628 1.33617I 13.72452 1.86826I
v = 0.476406 0.294981I
a = 0
b = 0.796005 0.733148I
6.01628 + 1.33617I 13.72452 + 1.86826I
v = 0.352455 + 0.113243I
a = 0
b = 0.728966 0.986295I
5.24306 7.08493I 7.53426 + 10.08360I
v = 0.352455 0.113243I
a = 0
b = 0.728966 + 0.986295I
5.24306 + 7.08493I 7.53426 10.08360I
v = 0.53175 + 1.59553I
a = 0
b = 0.628449 + 0.875112I
2.26187 2.45442I 12.87375 + 1.42824I
v = 0.53175 1.59553I
a = 0
b = 0.628449 0.875112I
2.26187 + 2.45442I 12.87375 1.42824I
32
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u 1)
9
)(u
24
12u
23
+ ··· u + 1)
· (u
153
+ 76u
152
+ ··· + 169142u + 2401)
c
2
((u 1)
9
)(u
24
+ 4u
23
+ ··· + 3u + 1)(u
153
14u
152
+ ··· 762u + 49)
c
3
u
9
(u
24
+ 6u
22
+ ··· 3u + 1)(u
153
u
152
+ ··· 100352u + 25088)
c
4
((u + 1)
9
)(u
24
4u
23
+ ··· 3u + 1)(u
153
14u
152
+ ··· 762u + 49)
c
5
(u
9
+ u
8
+ ··· u 1)(u
24
+ 3u
23
+ ··· + 5u
3
+ 1)
· (u
153
u
152
+ ··· + 118105u + 15199)
c
6
(u
9
+ 3u
8
+ 8u
7
+ 13u
6
+ 17u
5
+ 17u
4
+ 12u
3
+ 6u
2
+ u 1)
· (u
24
+ 3u
23
+ ··· + 12u
2
+ 1)(u
153
+ 3u
152
+ ··· + 50071u + 3559)
c
7
(u
9
+ u
8
+ ··· + u 1)(u
24
+ 12u
22
+ ··· 3u + 1)
· (u
153
+ 2u
152
+ ··· + 1528u + 649)
c
8
u
9
(u
24
+ 6u
22
+ ··· + 3u + 1)(u
153
u
152
+ ··· 100352u + 25088)
c
9
(u
9
3u
8
+ 8u
7
13u
6
+ 17u
5
17u
4
+ 12u
3
6u
2
+ u + 1)
· (u
24
3u
23
+ ··· + 12u
2
+ 1)(u
153
+ 3u
152
+ ··· + 50071u + 3559)
c
10
(u
9
+ u
8
2u
7
3u
6
+ u
5
+ 3u
4
+ 2u
3
u 1)
· (u
24
6u
22
+ ··· 12u + 1)(u
153
20u
152
+ ··· + 18213u + 14027)
c
11
(u
9
u
8
+ ··· + u + 1)(u
24
+ 12u
22
+ ··· + 3u + 1)
· (u
153
+ 2u
152
+ ··· + 1528u + 649)
c
12
(u
9
+ 5u
8
+ 12u
7
+ 15u
6
+ 9u
5
u
4
4u
3
2u
2
+ u + 1)
· (u
24
5u
21
+ ··· 3u + 1)(u
153
10u
152
+ ··· + 14u + 17)
33
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y 1)
9
)(y
24
+ 4y
23
+ ··· 21y + 1)
· (y
153
+ 16y
152
+ ··· + 4705654178y 5764801)
c
2
, c
4
((y 1)
9
)(y
24
12y
23
+ ··· y + 1)
· (y
153
76y
152
+ ··· + 169142y 2401)
c
3
, c
8
y
9
(y
24
+ 12y
23
+ ··· y + 1)
· (y
153
+ 69y
152
+ ··· 16338911232y 629407744)
c
5
(y
9
5y
8
+ 12y
7
15y
6
+ 9y
5
+ y
4
4y
3
+ 2y
2
+ y 1)
· (y
24
5y
23
+ ··· 6y
2
+ 1)
· (y
153
+ 3y
152
+ ··· 3235076783y 231009601)
c
6
, c
9
(y
9
+ 7y
8
+ 20y
7
+ 25y
6
+ 5y
5
15y
4
+ 22y
2
+ 13y 1)
· (y
24
+ 19y
23
+ ··· + 24y + 1)
· (y
153
+ 99y
152
+ ··· 548780483y 12666481)
c
7
, c
11
(y
9
+ 3y
8
+ 8y
7
+ 13y
6
+ 17y
5
+ 17y
4
+ 12y
3
+ 6y
2
+ y 1)
· (y
24
+ 24y
23
+ ··· + 19y + 1)
· (y
153
+ 96y
152
+ ··· 17206606y 421201)
c
10
(y
9
5y
8
+ 12y
7
15y
6
+ 9y
5
+ y
4
4y
3
+ 2y
2
+ y 1)
· (y
24
12y
23
+ ··· 12y + 1)
· (y
153
40y
152
+ ··· + 18060550885y 196756729)
c
12
(y
9
y
8
+ 12y
7
7y
6
+ 37y
5
+ y
4
10y
2
+ 5y 1)
· (y
24
6y
22
+ ··· 5y + 1)(y
153
8y
152
+ ··· 9698y 289)
34