12a
0820
(K12a
0820
)
A knot diagram
1
Linearized knot diagam
4 5 7 9 10 11 1 12 2 6 3 8
Solving Sequence
5,10
6 11
3,7
12 2 9 4 1 8
c
5
c
10
c
6
c
11
c
2
c
9
c
4
c
1
c
8
c
3
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.40939 × 10
253
u
113
− 2.02595 × 10
253
u
112
+ ··· + 4.76921 × 10
252
b + 1.39224 × 10
253
,
− 5.54737 × 10
253
u
113
− 8.27027 × 10
253
u
112
+ ··· + 4.76921 × 10
252
a + 2.16515 × 10
254
,
u
114
+ u
113
+ ··· − 17u + 1i
I
u
2
= h1390u
24
− 1230u
23
+ ··· + 3407b − 2014, 97u
24
− 2733u
23
+ ··· + 3407a + 6095,
u
25
− 14u
23
+ ··· − 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 139 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−1.41 × 10
253
u
113
− 2.03 × 10
253
u
112
+ · · · + 4.77 × 10
252
b + 1.39 ×
10
253
, −5.55 × 10
253
u
113
− 8.27 × 10
253
u
112
+ · · · + 4.77 × 10
252
a + 2.17 ×
10
254
, u
114
+ u
113
+ · · · − 17u + 1i
(i) Arc colorings
a
5
=
1
0
a
10
=
0
u
a
6
=
1
u
2
a
11
=
−u
−u
3
+ u
a
3
=
11.6316u
113
+ 17.3410u
112
+ ··· + 401.267u − 45.3985
2.95519u
113
+ 4.24799u
112
+ ··· + 59.4230u − 2.91923
a
7
=
−u
2
+ 1
−u
4
+ 2u
2
a
12
=
−27.6647u
113
− 41.0174u
112
+ ··· − 972.586u + 85.2806
−4.76338u
113
− 5.86579u
112
+ ··· − 156.987u + 9.92136
a
2
=
8.67645u
113
+ 13.0930u
112
+ ··· + 341.844u − 42.4792
2.95519u
113
+ 4.24799u
112
+ ··· + 59.4230u − 2.91923
a
9
=
−21.0401u
113
− 28.9104u
112
+ ··· − 655.353u + 67.2492
−4.35621u
113
− 6.54646u
112
+ ··· − 150.939u + 9.08524
a
4
=
13.1028u
113
+ 20.6472u
112
+ ··· + 487.758u − 52.3250
3.40344u
113
+ 5.57151u
112
+ ··· + 89.2902u − 4.94819
a
1
=
−24.3708u
113
− 38.2365u
112
+ ··· − 776.120u + 38.6407
−6.35400u
113
− 9.86861u
112
+ ··· − 249.572u + 17.7461
a
8
=
7.70870u
113
+ 8.88631u
112
+ ··· + 180.088u − 2.90069
3.10824u
113
+ 3.34002u
112
+ ··· + 77.4664u − 6.10232
(ii) Obstruction class = −1
(iii) Cusp Shapes = −31.5841u
113
− 47.8132u
112
+ ··· − 1054.21u + 82.8491
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
114
+ 9u
113
+ ··· − 1176u + 10199
c
2
u
114
+ 13u
112
+ ··· + 23139u + 2413
c
3
u
114
+ u
113
+ ··· − 4818480u + 4468393
c
4
u
114
− 4u
112
+ ··· + 3u − 1
c
5
, c
6
, c
10
u
114
− u
113
+ ··· + 17u + 1
c
7
, c
8
, c
12
u
114
+ 56u
112
+ ··· − 19u + 1
c
9
u
114
− u
113
+ ··· − 38970u + 6329
c
11
u
114
+ 20u
112
+ ··· − 4121492u − 493777
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
114
− 41y
113
+ ··· − 15341392906y + 104019601
c
2
y
114
+ 26y
113
+ ··· + 99866841y + 5822569
c
3
y
114
− 55y
113
+ ··· − 760130663350652y + 19966536002449
c
4
y
114
− 8y
113
+ ··· − 193y + 1
c
5
, c
6
, c
10
y
114
− 121y
113
+ ··· − 237y + 1
c
7
, c
8
, c
12
y
114
+ 112y
113
+ ··· − 139y + 1
c
9
y
114
− 37y
113
+ ··· − 2516693568y + 40056241
c
11
y
114
+ 40y
113
+ ··· + 9893819447934y + 243815725729
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.504390 + 0.859932I
a = −0.318445 + 0.156899I
b = −0.019841 + 1.001800I
−9.00028 + 4.07227I 0
u = −0.504390 − 0.859932I
a = −0.318445 − 0.156899I
b = −0.019841 − 1.001800I
−9.00028 − 4.07227I 0
u = 0.627792 + 0.808125I
a = 0.504608 + 0.487111I
b = −0.735286 + 0.803959I
−1.68248 − 4.28082I 0
u = 0.627792 − 0.808125I
a = 0.504608 − 0.487111I
b = −0.735286 − 0.803959I
−1.68248 + 4.28082I 0
u = −0.624670 + 0.747433I
a = 0.745136 − 0.536061I
b = −0.459020 − 0.938010I
−9.48244 + 1.28540I 0
u = −0.624670 − 0.747433I
a = 0.745136 + 0.536061I
b = −0.459020 + 0.938010I
−9.48244 − 1.28540I 0
u = 0.648355 + 0.795879I
a = 0.385231 + 0.691676I
b = −0.951220 + 1.028110I
−7.2766 − 13.7621I 0
u = 0.648355 − 0.795879I
a = 0.385231 − 0.691676I
b = −0.951220 − 1.028110I
−7.2766 + 13.7621I 0
u = −0.648247 + 0.798822I
a = 0.407999 − 0.595360I
b = −0.894448 − 0.909448I
−0.89385 + 9.60187I 0
u = −0.648247 − 0.798822I
a = 0.407999 + 0.595360I
b = −0.894448 + 0.909448I
−0.89385 − 9.60187I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.469837 + 0.938728I
a = −0.404972 + 0.279102I
b = −0.567103 − 0.722810I
−6.66315 + 8.11811I 0
u = 0.469837 − 0.938728I
a = −0.404972 − 0.279102I
b = −0.567103 + 0.722810I
−6.66315 − 8.11811I 0
u = −1.023880 + 0.242312I
a = 1.41856 + 0.48183I
b = 0.790054 − 0.125048I
−5.01066 + 0.32843I 0
u = −1.023880 − 0.242312I
a = 1.41856 − 0.48183I
b = 0.790054 + 0.125048I
−5.01066 − 0.32843I 0
u = −0.840937 + 0.428235I
a = 1.45683 − 0.06660I
b = 0.576258 − 0.637825I
−5.65724 − 0.96064I 0
u = −0.840937 − 0.428235I
a = 1.45683 + 0.06660I
b = 0.576258 + 0.637825I
−5.65724 + 0.96064I 0
u = 0.684025 + 0.608244I
a = 0.108560 − 0.218368I
b = 0.374450 − 0.458339I
−1.22956 − 1.97374I 0
u = 0.684025 − 0.608244I
a = 0.108560 + 0.218368I
b = 0.374450 + 0.458339I
−1.22956 + 1.97374I 0
u = −0.480454 + 0.988671I
a = −0.237939 − 0.221262I
b = −0.424825 + 0.602509I
−0.26142 − 3.85934I 0
u = −0.480454 − 0.988671I
a = −0.237939 + 0.221262I
b = −0.424825 − 0.602509I
−0.26142 + 3.85934I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.847240 + 0.275289I
a = 1.307420 − 0.150491I
b = 0.546342 + 0.345590I
−0.653113 + 0.203450I 0
u = 0.847240 − 0.275289I
a = 1.307420 + 0.150491I
b = 0.546342 − 0.345590I
−0.653113 − 0.203450I 0
u = 1.12255
a = 0.954007
b = −0.662366
−1.71869 0
u = 0.637119 + 0.961400I
a = −0.140987 + 0.024677I
b = −0.116157 − 0.576022I
−1.37866 − 1.56456I 0
u = 0.637119 − 0.961400I
a = −0.140987 − 0.024677I
b = −0.116157 + 0.576022I
−1.37866 + 1.56456I 0
u = −0.268034 + 0.682036I
a = −0.243151 + 0.202685I
b = 0.83284 + 1.16863I
−3.87371 + 4.99652I 0
u = −0.268034 − 0.682036I
a = −0.243151 − 0.202685I
b = 0.83284 − 1.16863I
−3.87371 − 4.99652I 0
u = 0.215671 + 0.695262I
a = 0.802229 − 0.072153I
b = −0.362588 + 0.284379I
−0.01282 − 1.97773I 0
u = 0.215671 − 0.695262I
a = 0.802229 + 0.072153I
b = −0.362588 − 0.284379I
−0.01282 + 1.97773I 0
u = 0.492943 + 0.502644I
a = 0.344711 − 0.916714I
b = 1.051700 − 0.405957I
−1.76151 − 1.77369I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.492943 − 0.502644I
a = 0.344711 + 0.916714I
b = 1.051700 + 0.405957I
−1.76151 + 1.77369I 0
u = −0.606585 + 0.331100I
a = 0.257474 + 0.237231I
b = −1.212140 + 0.308455I
−6.71204 − 3.43393I 0
u = −0.606585 − 0.331100I
a = 0.257474 − 0.237231I
b = −1.212140 − 0.308455I
−6.71204 + 3.43393I 0
u = 0.544241 + 0.423178I
a = −0.52745 − 1.60285I
b = 0.97691 − 1.08962I
−3.11521 − 4.90569I 0
u = 0.544241 − 0.423178I
a = −0.52745 + 1.60285I
b = 0.97691 + 1.08962I
−3.11521 + 4.90569I 0
u = −0.483700 + 0.484947I
a = −0.344554 + 1.058150I
b = 0.934790 + 0.863090I
1.47204 + 3.21737I 0
u = −0.483700 − 0.484947I
a = −0.344554 − 1.058150I
b = 0.934790 − 0.863090I
1.47204 − 3.21737I 0
u = 0.641724 + 0.077644I
a = 0.749700 − 0.145346I
b = −0.578203 − 0.240264I
−1.43760 − 0.04845I −6.99647 + 0.I
u = 0.641724 − 0.077644I
a = 0.749700 + 0.145346I
b = −0.578203 + 0.240264I
−1.43760 + 0.04845I −6.99647 + 0.I
u = 1.354950 + 0.073307I
a = 0.502957 + 1.294070I
b = 0.001361 + 0.562562I
−3.08633 − 0.14371I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.354950 − 0.073307I
a = 0.502957 − 1.294070I
b = 0.001361 − 0.562562I
−3.08633 + 0.14371I 0
u = −1.356960 + 0.261061I
a = 0.535902 − 0.852694I
b = −0.694855 − 0.462533I
−4.99408 + 5.47655I 0
u = −1.356960 − 0.261061I
a = 0.535902 + 0.852694I
b = −0.694855 + 0.462533I
−4.99408 − 5.47655I 0
u = 0.264417 + 0.558492I
a = −0.528334 − 0.121740I
b = 0.879406 − 0.976250I
1.10020 − 3.44919I 7.33497 + 9.15225I
u = 0.264417 − 0.558492I
a = −0.528334 + 0.121740I
b = 0.879406 + 0.976250I
1.10020 + 3.44919I 7.33497 − 9.15225I
u = −1.401100 + 0.022072I
a = 0.60160 + 1.55230I
b = 0.159019 + 1.035610I
−8.01156 + 2.83142I 0
u = −1.401100 − 0.022072I
a = 0.60160 − 1.55230I
b = 0.159019 − 1.035610I
−8.01156 − 2.83142I 0
u = −1.402530 + 0.127614I
a = 0.15023 − 1.68921I
b = −0.165522 − 0.371500I
−4.20035 + 4.68431I 0
u = −1.402530 − 0.127614I
a = 0.15023 + 1.68921I
b = −0.165522 + 0.371500I
−4.20035 − 4.68431I 0
u = −0.312958 + 0.484410I
a = 0.68470 − 2.52421I
b = −0.647033 − 0.214427I
−5.73034 + 6.37831I −0.93847 − 10.47810I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.312958 − 0.484410I
a = 0.68470 + 2.52421I
b = −0.647033 + 0.214427I
−5.73034 − 6.37831I −0.93847 + 10.47810I
u = 1.42402 + 0.19507I
a = 0.18091 − 2.16307I
b = 0.95293 − 1.81419I
−9.28920 − 8.06698I 0
u = 1.42402 − 0.19507I
a = 0.18091 + 2.16307I
b = 0.95293 + 1.81419I
−9.28920 + 8.06698I 0
u = 1.43696 + 0.07142I
a = 0.50611 − 1.59958I
b = 1.41616 − 1.19115I
−7.09296 − 3.71047I 0
u = 1.43696 − 0.07142I
a = 0.50611 + 1.59958I
b = 1.41616 + 1.19115I
−7.09296 + 3.71047I 0
u = 0.149924 + 0.540211I
a = 1.52053 + 1.40815I
b = −0.523492 + 0.034626I
0.73545 − 2.45150I 7.79919 + 8.48403I
u = 0.149924 − 0.540211I
a = 1.52053 − 1.40815I
b = −0.523492 − 0.034626I
0.73545 + 2.45150I 7.79919 − 8.48403I
u = −1.44341
a = 0.0236738
b = 1.32265
−4.28765 0
u = −1.44154 + 0.14492I
a = 0.35936 + 2.03022I
b = 1.12170 + 1.62153I
−4.43773 + 5.84177I 0
u = −1.44154 − 0.14492I
a = 0.35936 − 2.03022I
b = 1.12170 − 1.62153I
−4.43773 − 5.84177I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.45794 + 0.12566I
a = −0.40239 + 1.93795I
b = −0.195324 + 0.429208I
−11.5157 − 8.4504I 0
u = 1.45794 − 0.12566I
a = −0.40239 − 1.93795I
b = −0.195324 − 0.429208I
−11.5157 + 8.4504I 0
u = −0.439200 + 0.298658I
a = 0.993486 + 0.633929I
b = 0.780963 − 0.210476I
1.51577 − 0.17955I 6.48644 − 0.46789I
u = −0.439200 − 0.298658I
a = 0.993486 − 0.633929I
b = 0.780963 + 0.210476I
1.51577 + 0.17955I 6.48644 + 0.46789I
u = 1.46868 + 0.04128I
a = −0.04562 − 1.41394I
b = 1.057150 − 0.865190I
−7.16622 − 3.90834I 0
u = 1.46868 − 0.04128I
a = −0.04562 + 1.41394I
b = 1.057150 + 0.865190I
−7.16622 + 3.90834I 0
u = −1.50091 + 0.05304I
a = −1.17889 + 2.04349I
b = −1.60569 + 1.96668I
−13.9951 + 6.9232I 0
u = −1.50091 − 0.05304I
a = −1.17889 − 2.04349I
b = −1.60569 − 1.96668I
−13.9951 − 6.9232I 0
u = 1.50232 + 0.04092I
a = −0.76440 − 1.75414I
b = −1.23649 − 1.62891I
−8.15068 − 3.87708I 0
u = 1.50232 − 0.04092I
a = −0.76440 + 1.75414I
b = −1.23649 + 1.62891I
−8.15068 + 3.87708I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.51959 + 0.02383I
a = −0.46121 + 1.97396I
b = 0.553037 + 1.032860I
−14.7160 + 5.6858I 0
u = −1.51959 − 0.02383I
a = −0.46121 − 1.97396I
b = 0.553037 − 1.032860I
−14.7160 − 5.6858I 0
u = 0.478423 + 0.013444I
a = −2.02485 − 3.24717I
b = 0.112636 − 0.976226I
−7.97267 − 5.43473I −12.51083 + 5.12901I
u = 0.478423 − 0.013444I
a = −2.02485 + 3.24717I
b = 0.112636 + 0.976226I
−7.97267 + 5.43473I −12.51083 − 5.12901I
u = −1.52521 + 0.01741I
a = −0.506949 + 1.014550I
b = −1.11422 + 0.89488I
−8.52935 + 0.38383I 0
u = −1.52521 − 0.01741I
a = −0.506949 − 1.014550I
b = −1.11422 − 0.89488I
−8.52935 − 0.38383I 0
u = 1.52396 + 0.14016I
a = 0.45909 − 2.03397I
b = 0.98148 − 1.47676I
−5.21863 − 5.44789I 0
u = 1.52396 − 0.14016I
a = 0.45909 + 2.03397I
b = 0.98148 + 1.47676I
−5.21863 + 5.44789I 0
u = −0.438957 + 0.119226I
a = 0.960231 + 0.801247I
b = −0.524651 + 1.117990I
−1.65555 + 3.25950I −8.15736 − 8.85887I
u = −0.438957 − 0.119226I
a = 0.960231 − 0.801247I
b = −0.524651 − 1.117990I
−1.65555 − 3.25950I −8.15736 + 8.85887I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.54161 + 0.12665I
a = 0.40347 + 2.26598I
b = 0.93018 + 1.54252I
−10.10470 + 6.91096I 0
u = −1.54161 − 0.12665I
a = 0.40347 − 2.26598I
b = 0.93018 − 1.54252I
−10.10470 − 6.91096I 0
u = −1.54474 + 0.14832I
a = 0.71374 + 1.71782I
b = 1.06815 + 1.34991I
−8.65341 + 4.05651I 0
u = −1.54474 − 0.14832I
a = 0.71374 − 1.71782I
b = 1.06815 − 1.34991I
−8.65341 − 4.05651I 0
u = 1.55267 + 0.05487I
a = −1.28419 − 0.59457I
b = −1.87290 − 0.60942I
−13.9907 + 2.2313I 0
u = 1.55267 − 0.05487I
a = −1.28419 + 0.59457I
b = −1.87290 + 0.60942I
−13.9907 − 2.2313I 0
u = −1.56260
a = 0.0873587
b = −0.700466
−8.57207 0
u = −0.041627 + 0.430998I
a = −0.489627 − 1.060360I
b = 1.073510 + 0.717562I
−2.07764 + 2.42432I 0.50120 − 1.46569I
u = −0.041627 − 0.430998I
a = −0.489627 + 1.060360I
b = 1.073510 − 0.717562I
−2.07764 − 2.42432I 0.50120 + 1.46569I
u = 0.388339 + 0.174789I
a = 0.695122 − 1.172320I
b = −0.89212 − 1.44065I
−7.61463 − 6.10438I −12.9267 + 9.7942I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.388339 − 0.174789I
a = 0.695122 + 1.172320I
b = −0.89212 + 1.44065I
−7.61463 + 6.10438I −12.9267 − 9.7942I
u = 1.56257 + 0.24563I
a = 0.21949 + 1.50423I
b = −0.789212 + 1.115810I
−16.6601 − 4.9317I 0
u = 1.56257 − 0.24563I
a = 0.21949 − 1.50423I
b = −0.789212 − 1.115810I
−16.6601 + 4.9317I 0
u = 1.58321 + 0.04226I
a = 0.675518 + 0.554970I
b = −0.246897 + 0.415423I
−13.88100 − 0.23649I 0
u = 1.58321 − 0.04226I
a = 0.675518 − 0.554970I
b = −0.246897 − 0.415423I
−13.88100 + 0.23649I 0
u = 1.55592 + 0.30385I
a = −0.412535 − 1.349550I
b = 0.255020 − 1.333670I
−15.7486 − 8.3628I 0
u = 1.55592 − 0.30385I
a = −0.412535 + 1.349550I
b = 0.255020 + 1.333670I
−15.7486 + 8.3628I 0
u = −1.57225 + 0.26757I
a = −0.06011 − 1.49912I
b = −1.03443 − 1.12243I
−8.88839 + 8.23460I 0
u = −1.57225 − 0.26757I
a = −0.06011 + 1.49912I
b = −1.03443 + 1.12243I
−8.88839 − 8.23460I 0
u = 1.58087 + 0.26673I
a = −0.18210 + 1.65020I
b = −1.13316 + 1.25352I
−8.2065 − 13.5471I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.58087 − 0.26673I
a = −0.18210 − 1.65020I
b = −1.13316 − 1.25352I
−8.2065 + 13.5471I 0
u = −1.58155 + 0.26297I
a = −0.088612 + 1.236220I
b = 0.471617 + 1.173650I
−8.85937 + 5.71237I 0
u = −1.58155 − 0.26297I
a = −0.088612 − 1.236220I
b = 0.471617 − 1.173650I
−8.85937 − 5.71237I 0
u = −1.58397 + 0.26594I
a = −0.19736 − 1.79258I
b = −1.14412 − 1.37328I
−14.6118 + 17.7008I 0
u = −1.58397 − 0.26594I
a = −0.19736 + 1.79258I
b = −1.14412 + 1.37328I
−14.6118 − 17.7008I 0
u = −0.320167 + 0.129550I
a = −3.41155 + 1.82601I
b = 0.460992 + 0.721575I
−1.18275 + 3.26451I −8.32520 − 9.80871I
u = −0.320167 − 0.129550I
a = −3.41155 − 1.82601I
b = 0.460992 − 0.721575I
−1.18275 − 3.26451I −8.32520 + 9.80871I
u = 0.308722 + 0.104106I
a = 2.23335 − 0.40665I
b = 0.872428 + 0.841118I
−2.39042 + 2.48410I −1.71886 − 0.82985I
u = 0.308722 − 0.104106I
a = 2.23335 + 0.40665I
b = 0.872428 − 0.841118I
−2.39042 − 2.48410I −1.71886 + 0.82985I
u = 1.66839 + 0.27586I
a = −0.011716 − 0.748707I
b = 0.422971 − 0.783040I
−7.69229 − 1.29973I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.66839 − 0.27586I
a = −0.011716 + 0.748707I
b = 0.422971 + 0.783040I
−7.69229 + 1.29973I 0
u = −1.66111 + 0.36507I
a = −0.322556 + 0.519156I
b = 0.121268 + 0.685806I
−13.52450 − 2.96645I 0
u = −1.66111 − 0.36507I
a = −0.322556 − 0.519156I
b = 0.121268 − 0.685806I
−13.52450 + 2.96645I 0
u = 0.0747493
a = −15.6526
b = 0.771425
1.02759 9.77740
16
II. I
u
2
= h1390u
24
− 1230u
23
+ · · · + 3407b − 2014, 97u
24
− 2733u
23
+ · · · +
3407a + 6095, u
25
− 14u
23
+ · · · − 2u − 1i
(i) Arc colorings
a
5
=
1
0
a
10
=
0
u
a
6
=
1
u
2
a
11
=
−u
−u
3
+ u
a
3
=
−0.0284708u
24
+ 0.802172u
23
+ ··· + 1.89903u − 1.78896
−0.407984u
24
+ 0.361021u
23
+ ··· + 3.67684u + 0.591136
a
7
=
−u
2
+ 1
−u
4
+ 2u
2
a
12
=
−0.632228u
24
− 0.145583u
23
+ ··· + 8.33519u + 2.66569
0.156736u
24
− 0.117112u
23
+ ··· + 0.741415u + 1.18873
a
2
=
0.379513u
24
+ 0.441151u
23
+ ··· − 1.77781u − 2.38010
−0.407984u
24
+ 0.361021u
23
+ ··· + 3.67684u + 0.591136
a
9
=
−1.03229u
24
+ 0.136484u
23
+ ··· + 4.06076u − 0.874083
−0.558849u
24
+ 0.271500u
23
+ ··· + 3.37893u + 1.37951
a
4
=
0.379513u
24
+ 0.441151u
23
+ ··· − 1.77781u − 1.38010
−0.136484u
24
− 0.195773u
23
+ ··· + 3.93866u + 0.0322865
a
1
=
0.971529u
24
− 0.197828u
23
+ ··· − 3.10097u − 0.788964
0.480188u
24
− 0.302612u
23
+ ··· − 3.12181u − 1.67273
a
8
=
0.502495u
24
+ 0.512181u
23
+ ··· + 0.163487u + 1.44027
−0.0636924u
24
+ 0.0419724u
23
+ ··· − 1.76196u + 1.34840
(ii) Obstruction class = 1
(iii) Cusp Shapes =
5911
3407
u
24
−
11824
3407
u
23
+ ··· −
64985
3407
u −
20668
3407
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
25
− 14u
24
+ ··· + 19u − 1
c
2
u
25
+ 11u
24
+ ··· − 8u − 1
c
3
u
25
− 3u
23
+ ··· − u − 1
c
4
u
25
+ u
24
+ ··· − 4u
2
+ 1
c
5
, c
6
u
25
− 14u
23
+ ··· − 2u − 1
c
7
, c
8
u
25
− u
24
+ ··· + 5u
2
+ 1
c
9
u
25
− 4u
23
+ ··· + u − 1
c
10
u
25
− 14u
23
+ ··· − 2u + 1
c
11
u
25
− 3u
24
+ ··· − 3u − 1
c
12
u
25
+ u
24
+ ··· − 5u
2
− 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
25
+ 4y
24
+ ··· + 41y −1
c
2
y
25
+ 7y
24
+ ··· − 2y −1
c
3
y
25
− 6y
24
+ ··· + 7y −1
c
4
y
25
− 11y
24
+ ··· + 8y −1
c
5
, c
6
, c
10
y
25
− 28y
24
+ ··· − 12y −1
c
7
, c
8
, c
12
y
25
+ 25y
24
+ ··· − 10y −1
c
9
y
25
− 8y
24
+ ··· + 11y −1
c
11
y
25
+ 9y
24
+ ··· + 9y −1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.941687
a = 1.54580
b = 0.837962
−0.220934 9.54410
u = −1.093780 + 0.137366I
a = 1.54500 − 0.47819I
b = 1.065480 − 0.643321I
−4.50219 − 1.57529I −2.66273 + 4.13422I
u = −1.093780 − 0.137366I
a = 1.54500 + 0.47819I
b = 1.065480 + 0.643321I
−4.50219 + 1.57529I −2.66273 − 4.13422I
u = 0.820714 + 0.760595I
a = 0.333429 − 0.255851I
b = 0.231620 + 0.369953I
−0.98047 − 1.37887I 1.28976 − 5.46340I
u = 0.820714 − 0.760595I
a = 0.333429 + 0.255851I
b = 0.231620 − 0.369953I
−0.98047 + 1.37887I 1.28976 + 5.46340I
u = 1.19989
a = −1.19456
b = 0.714432
−1.46983 18.1470
u = 0.331239 + 0.603619I
a = −0.728328 − 0.308839I
b = 0.685792 − 0.755265I
0.15114 − 3.06296I −0.61786 + 6.65070I
u = 0.331239 − 0.603619I
a = −0.728328 + 0.308839I
b = 0.685792 + 0.755265I
0.15114 + 3.06296I −0.61786 − 6.65070I
u = −1.351150 + 0.210789I
a = −0.581209 + 1.120070I
b = 0.732501 + 0.522575I
−4.71449 + 5.70154I 2.92146 − 13.06056I
u = −1.351150 − 0.210789I
a = −0.581209 − 1.120070I
b = 0.732501 − 0.522575I
−4.71449 − 5.70154I 2.92146 + 13.06056I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.094069 + 0.600711I
a = −0.892012 + 0.745912I
b = 0.214706 − 0.504419I
−0.30424 − 2.81283I −1.73624 + 5.46052I
u = −0.094069 − 0.600711I
a = −0.892012 − 0.745912I
b = 0.214706 + 0.504419I
−0.30424 + 2.81283I −1.73624 − 5.46052I
u = 1.46925 + 0.10979I
a = −0.40826 − 2.24898I
b = −0.09859 − 1.46020I
−12.3788 − 7.3139I −8.54241 + 5.48065I
u = 1.46925 − 0.10979I
a = −0.40826 + 2.24898I
b = −0.09859 + 1.46020I
−12.3788 + 7.3139I −8.54241 − 5.48065I
u = −0.381935 + 0.344053I
a = −0.494369 + 0.866243I
b = 1.15443 + 1.13622I
−2.41584 + 3.33287I −3.08728 − 9.21606I
u = −0.381935 − 0.344053I
a = −0.494369 − 0.866243I
b = 1.15443 − 1.13622I
−2.41584 − 3.33287I −3.08728 + 9.21606I
u = −1.49080 + 0.14084I
a = 0.15432 + 1.99457I
b = 0.77611 + 1.40990I
−5.83898 + 5.46868I −8.14989 − 6.84342I
u = −1.49080 − 0.14084I
a = 0.15432 − 1.99457I
b = 0.77611 − 1.40990I
−5.83898 − 5.46868I −8.14989 + 6.84342I
u = 1.52294 + 0.11980I
a = 0.77521 − 2.14767I
b = 1.33263 − 1.74662I
−8.93919 − 5.07108I −7.16885 + 6.43261I
u = 1.52294 − 0.11980I
a = 0.77521 + 2.14767I
b = 1.33263 + 1.74662I
−8.93919 + 5.07108I −7.16885 − 6.43261I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.58301 + 0.15032I
a = −0.322252 + 0.108211I
b = −0.757531 − 0.166104I
−12.55570 − 3.26438I −6.04746 + 4.28066I
u = −1.58301 − 0.15032I
a = −0.322252 − 0.108211I
b = −0.757531 + 0.166104I
−12.55570 + 3.26438I −6.04746 − 4.28066I
u = −0.045461 + 0.373634I
a = −2.53005 + 0.03838I
b = −0.313199 + 0.884889I
−6.95819 + 5.66496I −3.14069 − 4.58202I
u = −0.045461 − 0.373634I
a = −2.53005 − 0.03838I
b = −0.313199 − 0.884889I
−6.95819 − 5.66496I −3.14069 + 4.58202I
u = 1.65054
a = −0.0542121
b = −0.600291
−7.74024 −2.80640
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
25
− 14u
24
+ ··· + 19u − 1)(u
114
+ 9u
113
+ ··· − 1176u + 10199)
c
2
(u
25
+ 11u
24
+ ··· − 8u − 1)(u
114
+ 13u
112
+ ··· + 23139u + 2413)
c
3
(u
25
− 3u
23
+ ··· − u − 1)(u
114
+ u
113
+ ··· − 4818480u + 4468393)
c
4
(u
25
+ u
24
+ ··· − 4u
2
+ 1)(u
114
− 4u
112
+ ··· + 3u − 1)
c
5
, c
6
(u
25
− 14u
23
+ ··· − 2u − 1)(u
114
− u
113
+ ··· + 17u + 1)
c
7
, c
8
(u
25
− u
24
+ ··· + 5u
2
+ 1)(u
114
+ 56u
112
+ ··· − 19u + 1)
c
9
(u
25
− 4u
23
+ ··· + u − 1)(u
114
− u
113
+ ··· − 38970u + 6329)
c
10
(u
25
− 14u
23
+ ··· − 2u + 1)(u
114
− u
113
+ ··· + 17u + 1)
c
11
(u
25
− 3u
24
+ ··· − 3u − 1)(u
114
+ 20u
112
+ ··· − 4121492u − 493777)
c
12
(u
25
+ u
24
+ ··· − 5u
2
− 1)(u
114
+ 56u
112
+ ··· − 19u + 1)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
25
+ 4y
24
+ ··· + 41y −1)
· (y
114
− 41y
113
+ ··· − 15341392906y + 104019601)
c
2
(y
25
+ 7y
24
+ ··· − 2y −1)
· (y
114
+ 26y
113
+ ··· + 99866841y + 5822569)
c
3
(y
25
− 6y
24
+ ··· + 7y −1)
· (y
114
− 55y
113
+ ··· − 760130663350652y + 19966536002449)
c
4
(y
25
− 11y
24
+ ··· + 8y −1)(y
114
− 8y
113
+ ··· − 193y + 1)
c
5
, c
6
, c
10
(y
25
− 28y
24
+ ··· − 12y −1)(y
114
− 121y
113
+ ··· − 237y + 1)
c
7
, c
8
, c
12
(y
25
+ 25y
24
+ ··· − 10y −1)(y
114
+ 112y
113
+ ··· − 139y + 1)
c
9
(y
25
− 8y
24
+ ··· + 11y −1)
· (y
114
− 37y
113
+ ··· − 2516693568y + 40056241)
c
11
(y
25
+ 9y
24
+ ··· + 9y −1)
· (y
114
+ 40y
113
+ ··· + 9893819447934y + 243815725729)
24
