12a
0489
(K12a
0489
)
A knot diagram
1
Linearized knot diagam
3 6 11 1 8 2 10 5 12 7 4 9
Solving Sequence
2,7
6
3,11
4 12 1 10 8 5 9
c
6
c
2
c
3
c
11
c
1
c
10
c
7
c
5
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−9.51227 × 10
329
u
134
+ 5.25666 × 10
328
u
133
+ ··· + 1.45920 × 10
328
b − 6.64848 × 10
331
,
1.39352 × 10
332
u
134
− 2.28557 × 10
332
u
133
+ ··· + 4.65486 × 10
330
a − 6.26320 × 10
334
,
u
135
− u
134
+ ··· − 550u + 319i
I
u
2
= h−14u
29
− 338u
28
+ ··· + 59b − 301, −479u
29
− 1526u
28
+ ··· + 59a + 528, u
30
+ 4u
29
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 165 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−9.51 × 10
329
u
134
+ 5.26 × 10
328
u
133
+ · · · + 1.46 × 10
328
b − 6.65 ×
10
331
, 1.39 × 10
332
u
134
− 2.29 × 10
332
u
133
+ · · · + 4.65 × 10
330
a − 6.26 ×
10
334
, u
135
− u
134
+ · · · − 550u + 319i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
11
=
−29.9368u
134
+ 49.1008u
133
+ ··· − 22734.0u + 13455.2
65.1881u
134
− 3.60242u
133
+ ··· + 17400.5u + 4556.23
a
4
=
−56.8695u
134
+ 29.8551u
133
+ ··· − 24012.5u + 6285.24
−7.53274u
134
+ 21.7455u
133
+ ··· − 8585.10u + 6430.11
a
12
=
−20.6048u
134
+ 99.7230u
133
+ ··· − 31659.0u + 32778.9
−20.8862u
134
− 28.5899u
133
+ ··· + 3043.27u − 12231.0
a
1
=
u
3
u
5
+ u
3
+ u
a
10
=
−95.1248u
134
+ 52.7032u
133
+ ··· − 40134.4u + 8898.94
65.1881u
134
− 3.60242u
133
+ ··· + 17400.5u + 4556.23
a
8
=
−66.5291u
134
+ 59.6662u
133
+ ··· − 36144.2u + 14899.4
48.2123u
134
− 2.48378u
133
+ ··· + 13350.7u + 3263.57
a
5
=
−51.2429u
134
+ 2.85544u
133
+ ··· − 14140.6u − 2321.76
−7.95475u
134
+ 31.5932u
133
+ ··· − 11787.9u + 9758.36
a
9
=
−151.201u
134
+ 24.3816u
133
+ ··· − 49723.1u + 1938.73
51.2850u
134
+ 13.5590u
133
+ ··· + 9761.08u + 8017.02
(ii) Obstruction class = −1
(iii) Cusp Shapes = 190.854u
134
− 52.5163u
133
+ ··· + 60035.6u − 2114.44
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
135
+ 67u
134
+ ··· − 3424696u − 101761
c
2
, c
6
u
135
− u
134
+ ··· − 550u + 319
c
3
, c
11
u
135
− u
134
+ ··· − 423962u + 25289
c
4
u
135
− 9u
134
+ ··· + 104857u + 98599
c
5
, c
8
u
135
− 6u
134
+ ··· + 6299728u − 1729139
c
7
, c
10
u
135
+ 6u
134
+ ··· + 5575u + 4625
c
9
, c
12
u
135
− 3u
134
+ ··· + 6999u + 481
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
135
+ 19y
134
+ ··· + 444067171988y −10355301121
c
2
, c
6
y
135
+ 67y
134
+ ··· − 3424696y −101761
c
3
, c
11
y
135
− 71y
134
+ ··· + 117641731878y −639533521
c
4
y
135
+ 39y
134
+ ··· − 1832507948977y −9721762801
c
5
, c
8
y
135
+ 80y
134
+ ··· − 5136676650882y −2989921681321
c
7
, c
10
y
135
+ 84y
134
+ ··· − 2837251875y −21390625
c
9
, c
12
y
135
+ 77y
134
+ ··· − 2987973y −231361
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.265838 + 0.981329I
a = 1.17941 − 1.28721I
b = 1.212520 − 0.375722I
1.78269 − 5.16544I 0
u = 0.265838 − 0.981329I
a = 1.17941 + 1.28721I
b = 1.212520 + 0.375722I
1.78269 + 5.16544I 0
u = 0.374199 + 0.903425I
a = 0.722251 + 0.141191I
b = −0.48921 + 1.92440I
−5.05415 − 0.80188I 0
u = 0.374199 − 0.903425I
a = 0.722251 − 0.141191I
b = −0.48921 − 1.92440I
−5.05415 + 0.80188I 0
u = 0.466349 + 0.915942I
a = 2.36119 − 3.43185I
b = 0.061703 + 1.071620I
−0.25900 + 2.18550I 0
u = 0.466349 − 0.915942I
a = 2.36119 + 3.43185I
b = 0.061703 − 1.071620I
−0.25900 − 2.18550I 0
u = 0.364886 + 0.900855I
a = −1.28870 + 0.61504I
b = −0.13762 − 1.95311I
−5.02629 + 3.85941I 0
u = 0.364886 − 0.900855I
a = −1.28870 − 0.61504I
b = −0.13762 + 1.95311I
−5.02629 − 3.85941I 0
u = 0.457705 + 0.927031I
a = −0.261377 + 0.984995I
b = −0.028770 − 0.159842I
1.65847 + 2.09523I 0
u = 0.457705 − 0.927031I
a = −0.261377 − 0.984995I
b = −0.028770 + 0.159842I
1.65847 − 2.09523I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.726714 + 0.633434I
a = 0.05426 + 1.55018I
b = −0.461684 + 1.097510I
−2.12663 − 0.80068I 0
u = 0.726714 − 0.633434I
a = 0.05426 − 1.55018I
b = −0.461684 − 1.097510I
−2.12663 + 0.80068I 0
u = −0.187369 + 0.943857I
a = −1.63419 − 1.84417I
b = 0.222091 + 0.743291I
2.09254 + 5.74840I 0
u = −0.187369 − 0.943857I
a = −1.63419 + 1.84417I
b = 0.222091 − 0.743291I
2.09254 − 5.74840I 0
u = −0.215758 + 0.932206I
a = 1.64183 + 1.13518I
b = 0.086520 − 0.953014I
−2.76081 + 1.33759I 0
u = −0.215758 − 0.932206I
a = 1.64183 − 1.13518I
b = 0.086520 + 0.953014I
−2.76081 − 1.33759I 0
u = −0.767637 + 0.717888I
a = 1.206440 + 0.058732I
b = 0.927206 − 0.460326I
8.78928 + 1.19131I 0
u = −0.767637 − 0.717888I
a = 1.206440 − 0.058732I
b = 0.927206 + 0.460326I
8.78928 − 1.19131I 0
u = −0.845569 + 0.417929I
a = −0.717754 − 1.122110I
b = −0.379717 − 1.235620I
−2.20552 + 7.02826I 0
u = −0.845569 − 0.417929I
a = −0.717754 + 1.122110I
b = −0.379717 + 1.235620I
−2.20552 − 7.02826I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.882693 + 0.331756I
a = 0.676897 + 0.927144I
b = 0.281110 + 1.065570I
−4.24619 + 2.41039I 0
u = −0.882693 − 0.331756I
a = 0.676897 − 0.927144I
b = 0.281110 − 1.065570I
−4.24619 − 2.41039I 0
u = 0.994252 + 0.374540I
a = 0.744033 − 0.927671I
b = 0.68805 − 1.26056I
3.02874 − 13.26000I 0
u = 0.994252 − 0.374540I
a = 0.744033 + 0.927671I
b = 0.68805 + 1.26056I
3.02874 + 13.26000I 0
u = −0.371813 + 0.995584I
a = −0.385802 − 0.791456I
b = −0.989393 − 0.610559I
−1.062960 + 0.685920I 0
u = −0.371813 − 0.995584I
a = −0.385802 + 0.791456I
b = −0.989393 + 0.610559I
−1.062960 − 0.685920I 0
u = 0.760598 + 0.544727I
a = −1.147330 + 0.724272I
b = −0.892174 − 0.333012I
1.94041 − 1.29727I 0
u = 0.760598 − 0.544727I
a = −1.147330 − 0.724272I
b = −0.892174 + 0.333012I
1.94041 + 1.29727I 0
u = 0.286519 + 0.890166I
a = −1.144710 + 0.645186I
b = −0.776901 + 0.765914I
−2.15556 − 0.91680I 0
u = 0.286519 − 0.890166I
a = −1.144710 − 0.645186I
b = −0.776901 − 0.765914I
−2.15556 + 0.91680I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.777318 + 0.518275I
a = −0.227730 − 0.343635I
b = −0.510637 − 1.102750I
1.74694 + 2.14723I 0
u = −0.777318 − 0.518275I
a = −0.227730 + 0.343635I
b = −0.510637 + 1.102750I
1.74694 − 2.14723I 0
u = 0.383945 + 0.995155I
a = −1.24783 + 1.35174I
b = −0.399140 − 1.173020I
−2.82130 + 3.53514I 0
u = 0.383945 − 0.995155I
a = −1.24783 − 1.35174I
b = −0.399140 + 1.173020I
−2.82130 − 3.53514I 0
u = 0.762367 + 0.536952I
a = −0.225190 − 1.365020I
b = 0.100144 − 1.238080I
−1.39518 + 3.66830I 0
u = 0.762367 − 0.536952I
a = −0.225190 + 1.365020I
b = 0.100144 + 1.238080I
−1.39518 − 3.66830I 0
u = 0.825777 + 0.425793I
a = 1.160950 + 0.112814I
b = 0.757772 + 0.811822I
6.25152 + 3.96870I 0
u = 0.825777 − 0.425793I
a = 1.160950 − 0.112814I
b = 0.757772 − 0.811822I
6.25152 − 3.96870I 0
u = −0.339820 + 0.847663I
a = −1.88123 − 0.73761I
b = −0.689407 + 1.031730I
−0.57479 − 3.50977I 0
u = −0.339820 − 0.847663I
a = −1.88123 + 0.73761I
b = −0.689407 − 1.031730I
−0.57479 + 3.50977I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.551339 + 0.944571I
a = −2.80537 − 0.87573I
b = −0.120919 − 0.877859I
0.33137 + 2.46359I 0
u = 0.551339 − 0.944571I
a = −2.80537 + 0.87573I
b = −0.120919 + 0.877859I
0.33137 − 2.46359I 0
u = −0.747098 + 0.496691I
a = 0.753327 + 0.338635I
b = 0.643260 + 1.114100I
6.73489 + 6.90205I 0
u = −0.747098 − 0.496691I
a = 0.753327 − 0.338635I
b = 0.643260 − 1.114100I
6.73489 − 6.90205I 0
u = 1.055650 + 0.320503I
a = −0.596178 + 0.716528I
b = −0.576598 + 1.162180I
−0.57907 − 6.64964I 0
u = 1.055650 − 0.320503I
a = −0.596178 − 0.716528I
b = −0.576598 − 1.162180I
−0.57907 + 6.64964I 0
u = 0.582769 + 0.680195I
a = −0.10177 + 1.82737I
b = 0.139332 + 0.691801I
1.10381 + 2.08367I 0
u = 0.582769 − 0.680195I
a = −0.10177 − 1.82737I
b = 0.139332 − 0.691801I
1.10381 − 2.08367I 0
u = −0.720243 + 0.838281I
a = −0.867162 − 0.508026I
b = −0.894294 + 0.127528I
4.68723 − 2.72448I 0
u = −0.720243 − 0.838281I
a = −0.867162 + 0.508026I
b = −0.894294 − 0.127528I
4.68723 + 2.72448I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.794872 + 0.399127I
a = 0.036138 − 0.214370I
b = 0.480545 + 0.887485I
5.21269 − 4.11478I 0
u = −0.794872 − 0.399127I
a = 0.036138 + 0.214370I
b = 0.480545 − 0.887485I
5.21269 + 4.11478I 0
u = 0.435199 + 0.764743I
a = 2.23715 − 0.91291I
b = 0.094622 − 0.861347I
0.22529 + 1.62225I 0
u = 0.435199 − 0.764743I
a = 2.23715 + 0.91291I
b = 0.094622 + 0.861347I
0.22529 − 1.62225I 0
u = 0.854569 + 0.205012I
a = 0.877909 − 0.294115I
b = 0.681772 − 0.870366I
6.02008 − 1.50841I 0
u = 0.854569 − 0.205012I
a = 0.877909 + 0.294115I
b = 0.681772 + 0.870366I
6.02008 + 1.50841I 0
u = 0.283631 + 1.099650I
a = 1.05280 − 1.40620I
b = 0.754219 + 0.915733I
1.46017 + 6.59736I 0
u = 0.283631 − 1.099650I
a = 1.05280 + 1.40620I
b = 0.754219 − 0.915733I
1.46017 − 6.59736I 0
u = −0.290029 + 1.099260I
a = 0.857895 + 0.027587I
b = −0.35741 − 1.62292I
−4.65362 − 0.62051I 0
u = −0.290029 − 1.099260I
a = 0.857895 − 0.027587I
b = −0.35741 + 1.62292I
−4.65362 + 0.62051I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.421078 + 1.060170I
a = 0.834382 + 0.516928I
b = 0.708648 + 0.317851I
−4.23295 − 3.45370I 0
u = −0.421078 − 1.060170I
a = 0.834382 − 0.516928I
b = 0.708648 − 0.317851I
−4.23295 + 3.45370I 0
u = 0.328998 + 1.094430I
a = −0.444577 + 0.507036I
b = 0.378405 − 0.621872I
1.84843 + 2.01030I 0
u = 0.328998 − 1.094430I
a = −0.444577 − 0.507036I
b = 0.378405 + 0.621872I
1.84843 − 2.01030I 0
u = 0.699652 + 0.486084I
a = 1.76471 − 0.81801I
b = 1.224430 + 0.443019I
5.79170 − 6.57634I 0
u = 0.699652 − 0.486084I
a = 1.76471 + 0.81801I
b = 1.224430 − 0.443019I
5.79170 + 6.57634I 0
u = 0.504710 + 1.034030I
a = 1.53961 − 0.41211I
b = 0.141439 + 1.014040I
−1.94154 + 2.70157I 0
u = 0.504710 − 1.034030I
a = 1.53961 + 0.41211I
b = 0.141439 − 1.014040I
−1.94154 − 2.70157I 0
u = −0.288709 + 1.116640I
a = −0.549556 + 0.260093I
b = 0.67576 + 1.51289I
−4.62033 + 0.51627I 0
u = −0.288709 − 1.116640I
a = −0.549556 − 0.260093I
b = 0.67576 − 1.51289I
−4.62033 − 0.51627I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.601897 + 1.005360I
a = −1.83629 − 0.18029I
b = −0.77300 − 1.30337I
−3.27840 + 5.88202I 0
u = 0.601897 − 1.005360I
a = −1.83629 + 0.18029I
b = −0.77300 + 1.30337I
−3.27840 − 5.88202I 0
u = −0.493673 + 1.079570I
a = −1.20529 − 0.83975I
b = −0.985626 + 0.155345I
−0.09723 − 7.30650I 0
u = −0.493673 − 1.079570I
a = −1.20529 + 0.83975I
b = −0.985626 − 0.155345I
−0.09723 + 7.30650I 0
u = −0.725373 + 0.950534I
a = 0.447350 + 0.864511I
b = 0.874319 + 0.296644I
8.11492 − 6.80194I 0
u = −0.725373 − 0.950534I
a = 0.447350 − 0.864511I
b = 0.874319 − 0.296644I
8.11492 + 6.80194I 0
u = −0.126354 + 1.191560I
a = 0.061222 + 0.642052I
b = −0.22556 − 1.43840I
−7.70180 + 4.47507I 0
u = −0.126354 − 1.191560I
a = 0.061222 − 0.642052I
b = −0.22556 + 1.43840I
−7.70180 − 4.47507I 0
u = 0.599444 + 1.045410I
a = 1.64387 + 0.31409I
b = 0.32716 + 1.42597I
−2.94318 + 1.48770I 0
u = 0.599444 − 1.045410I
a = 1.64387 − 0.31409I
b = 0.32716 − 1.42597I
−2.94318 − 1.48770I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.610787 + 1.044940I
a = −0.865488 + 0.496487I
b = −1.171840 + 0.081867I
0.42795 + 6.48627I 0
u = 0.610787 − 1.044940I
a = −0.865488 − 0.496487I
b = −1.171840 − 0.081867I
0.42795 − 6.48627I 0
u = 0.583969 + 1.063090I
a = 0.817273 − 0.921378I
b = 1.52568 − 0.31930I
4.07484 + 11.53030I 0
u = 0.583969 − 1.063090I
a = 0.817273 + 0.921378I
b = 1.52568 + 0.31930I
4.07484 − 11.53030I 0
u = −0.337676 + 1.175430I
a = −1.38803 − 0.92224I
b = −0.087836 + 0.410444I
0.58386 − 7.10567I 0
u = −0.337676 − 1.175430I
a = −1.38803 + 0.92224I
b = −0.087836 − 0.410444I
0.58386 + 7.10567I 0
u = −0.613282 + 1.062090I
a = −1.34536 − 0.61312I
b = −0.418964 + 1.329760I
0.10371 − 7.38645I 0
u = −0.613282 − 1.062090I
a = −1.34536 + 0.61312I
b = −0.418964 − 1.329760I
0.10371 + 7.38645I 0
u = −0.606712 + 1.066770I
a = 1.58179 + 0.92970I
b = 0.539517 − 1.251280I
5.03139 − 12.05540I 0
u = −0.606712 − 1.066770I
a = 1.58179 − 0.92970I
b = 0.539517 + 1.251280I
5.03139 + 12.05540I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.549921 + 1.102620I
a = −1.83190 − 0.45737I
b = −0.88035 + 1.41293I
−2.89414 − 6.77157I 0
u = −0.549921 − 1.102620I
a = −1.83190 + 0.45737I
b = −0.88035 − 1.41293I
−2.89414 + 6.77157I 0
u = −0.709740 + 0.288840I
a = 1.34883 + 1.51456I
b = 0.901939 + 1.056320I
−0.51947 + 3.40508I 0
u = −0.709740 − 0.288840I
a = 1.34883 − 1.51456I
b = 0.901939 − 1.056320I
−0.51947 − 3.40508I 0
u = 0.518904 + 0.551373I
a = −1.003490 − 0.758728I
b = −0.522844 + 0.066760I
2.79508 + 1.97263I 0
u = 0.518904 − 0.551373I
a = −1.003490 + 0.758728I
b = −0.522844 − 0.066760I
2.79508 − 1.97263I 0
u = −0.541662 + 1.121070I
a = 1.85218 + 0.66699I
b = 1.18886 − 1.19569I
−2.91590 − 8.17489I 0
u = −0.541662 − 1.121070I
a = 1.85218 − 0.66699I
b = 1.18886 + 1.19569I
−2.91590 + 8.17489I 0
u = 0.320210 + 0.670359I
a = 0.637183 − 0.127117I
b = 0.033106 − 0.270911I
−0.268047 + 1.163710I 0
u = 0.320210 − 0.670359I
a = 0.637183 + 0.127117I
b = 0.033106 + 0.270911I
−0.268047 − 1.163710I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.661060 + 0.333300I
a = −0.72374 − 1.54608I
b = −0.649448 − 1.203380I
−0.70385 + 2.04571I 0
u = −0.661060 − 0.333300I
a = −0.72374 + 1.54608I
b = −0.649448 + 1.203380I
−0.70385 − 2.04571I 0
u = −0.629014 + 1.107950I
a = 0.782958 + 0.688370I
b = 0.251962 − 1.172940I
3.13624 − 1.23174I 0
u = −0.629014 − 1.107950I
a = 0.782958 − 0.688370I
b = 0.251962 + 1.172940I
3.13624 + 1.23174I 0
u = −0.625418 + 1.127980I
a = −1.83549 − 0.18447I
b = −0.507040 + 1.308170I
−4.34091 − 12.49700I 0
u = −0.625418 − 1.127980I
a = −1.83549 + 0.18447I
b = −0.507040 − 1.308170I
−4.34091 + 12.49700I 0
u = 0.659081 + 1.114230I
a = 0.154599 − 0.334752I
b = 0.725506 − 0.606655I
4.21917 + 1.56628I 0
u = 0.659081 − 1.114230I
a = 0.154599 + 0.334752I
b = 0.725506 + 0.606655I
4.21917 − 1.56628I 0
u = −0.206654 + 1.281800I
a = −0.049187 − 0.429626I
b = 0.115875 + 1.307200I
−9.61896 − 0.98289I 0
u = −0.206654 − 1.281800I
a = −0.049187 + 0.429626I
b = 0.115875 − 1.307200I
−9.61896 + 0.98289I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.607649 + 1.164710I
a = 1.58659 + 0.21218I
b = 0.465343 − 1.147890I
−6.75191 − 7.88347I 0
u = −0.607649 − 1.164710I
a = 1.58659 − 0.21218I
b = 0.465343 + 1.147890I
−6.75191 + 7.88347I 0
u = −1.051640 + 0.800246I
a = 0.424442 − 0.476358I
b = 0.253392 − 0.822663I
5.79308 − 7.21676I 0
u = −1.051640 − 0.800246I
a = 0.424442 + 0.476358I
b = 0.253392 + 0.822663I
5.79308 + 7.21676I 0
u = −0.587178 + 0.317424I
a = −1.80447 − 0.63816I
b = −0.846508 − 0.183741I
2.07823 + 3.00622I 0
u = −0.587178 − 0.317424I
a = −1.80447 + 0.63816I
b = −0.846508 + 0.183741I
2.07823 − 3.00622I 0
u = 0.657156 + 1.193770I
a = 1.63336 − 0.41163I
b = 0.74806 + 1.39534I
0.5042 + 19.2274I 0
u = 0.657156 − 1.193770I
a = 1.63336 + 0.41163I
b = 0.74806 − 1.39534I
0.5042 − 19.2274I 0
u = 0.551630 + 1.248360I
a = 1.155080 − 0.800960I
b = 0.613649 + 1.048520I
2.86001 + 6.73264I 0
u = 0.551630 − 1.248360I
a = 1.155080 + 0.800960I
b = 0.613649 − 1.048520I
2.86001 − 6.73264I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.662450 + 1.225020I
a = −1.41640 + 0.38718I
b = −0.62891 − 1.32970I
−3.36305 + 12.77810I 0
u = 0.662450 − 1.225020I
a = −1.41640 − 0.38718I
b = −0.62891 + 1.32970I
−3.36305 − 12.77810I 0
u = 0.119207 + 1.394450I
a = −0.171912 + 0.309394I
b = 0.404428 − 1.255520I
−3.33366 − 9.51592I 0
u = 0.119207 − 1.394450I
a = −0.171912 − 0.309394I
b = 0.404428 + 1.255520I
−3.33366 + 9.51592I 0
u = −0.98901 + 1.04603I
a = −0.394789 + 0.403330I
b = 0.028808 + 0.776809I
5.09633 − 0.04450I 0
u = −0.98901 − 1.04603I
a = −0.394789 − 0.403330I
b = 0.028808 − 0.776809I
5.09633 + 0.04450I 0
u = 0.395614 + 0.378247I
a = 0.469500 − 0.436509I
b = −0.209541 − 0.721310I
−0.226398 + 1.318720I −2.08224 − 2.35375I
u = 0.395614 − 0.378247I
a = 0.469500 + 0.436509I
b = −0.209541 + 0.721310I
−0.226398 − 1.318720I −2.08224 + 2.35375I
u = −0.534104
a = 1.65875
b = 0.369217
−1.53099 −6.46000
u = −0.01787 + 1.48662I
a = 0.137891 + 1.024120I
b = −0.194720 − 0.741850I
−5.43801 + 0.25019I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.01787 − 1.48662I
a = 0.137891 − 1.024120I
b = −0.194720 + 0.741850I
−5.43801 − 0.25019I 0
u = 0.24347 + 1.53187I
a = 0.164497 − 0.228208I
b = −0.300126 + 1.087210I
−6.91027 − 1.91053I 0
u = 0.24347 − 1.53187I
a = 0.164497 + 0.228208I
b = −0.300126 − 1.087210I
−6.91027 + 1.91053I 0
u = 0.007458 + 0.392032I
a = 1.08981 − 0.96336I
b = −0.335568 − 0.749597I
−0.20607 + 1.43037I −5.28294 − 3.67391I
u = 0.007458 − 0.392032I
a = 1.08981 + 0.96336I
b = −0.335568 + 0.749597I
−0.20607 − 1.43037I −5.28294 + 3.67391I
18
II. I
u
2
= h−14u
29
− 338u
28
+ · · · + 59b − 301, −479u
29
− 1526u
28
+ · · · +
59a + 528, u
30
+ 4u
29
+ · · · + u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
11
=
8.11864u
29
+ 25.8644u
28
+ ··· + 4.45763u − 8.94915
0.237288u
29
+ 5.72881u
28
+ ··· + 4.91525u + 5.10169
a
4
=
3.05085u
29
+ 13.0847u
28
+ ··· + 15.3390u + 3.59322
−1.08475u
29
− 7.47458u
28
+ ··· − 0.898305u − 4.32203
a
12
=
−6.18644u
29
− 26.6441u
28
+ ··· − 14.5763u − 9.50847
−1.42373u
29
− 11.3729u
28
+ ··· − 2.49153u − 5.61017
a
1
=
u
3
u
5
+ u
3
+ u
a
10
=
7.88136u
29
+ 20.1356u
28
+ ··· − 0.457627u − 14.0508
0.237288u
29
+ 5.72881u
28
+ ··· + 4.91525u + 5.10169
a
8
=
11.0847u
29
+ 44.4746u
28
+ ··· + 11.8983u + 10.3220
−7.89831u
29
− 24.8305u
28
+ ··· − 10.3220u + 4.18644
a
5
=
3.05085u
29
+ 14.0847u
28
+ ··· + 15.3390u + 4.59322
−1.08475u
29
− 7.47458u
28
+ ··· − 1.89831u − 4.32203
a
9
=
1.89831u
29
+ 7.83051u
28
+ ··· − 7.67797u − 3.18644
−4.32203u
29
− 13.2034u
28
+ ··· − 2.81356u + 3.57627
(ii) Obstruction class = 1
(iii) Cusp Shapes =
765
59
u
29
+
3163
59
u
28
+ ··· +
1560
59
u +
547
59
19
(iv) u-Polynomials at the component
20
Crossings u-Polynomials at each crossing
c
1
u
30
− 20u
29
+ ··· − 21u + 1
c
2
u
30
− 4u
29
+ ··· − u + 1
c
3
u
30
+ 2u
29
+ ··· + 3u + 1
c
4
u
30
+ 2u
28
+ ··· + 6u + 1
c
5
u
30
− u
29
+ ··· − u + 1
c
6
u
30
+ 4u
29
+ ··· + u + 1
c
7
u
30
+ 5u
29
+ ··· − 2u + 1
c
8
u
30
+ u
29
+ ··· + u + 1
c
9
u
30
− 6u
29
+ ··· − 2u + 1
c
10
u
30
− 5u
29
+ ··· + 2u + 1
c
11
u
30
− 2u
29
+ ··· − 3u + 1
c
12
u
30
+ 6u
29
+ ··· + 2u + 1
21
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
30
− 4y
29
+ ··· + 25y + 1
c
2
, c
6
y
30
+ 20y
29
+ ··· + 21y + 1
c
3
, c
11
y
30
− 6y
29
+ ··· − 9y + 1
c
4
y
30
+ 4y
29
+ ··· + 18y + 1
c
5
, c
8
y
30
+ 5y
29
+ ··· + 7y + 1
c
7
, c
10
y
30
+ 25y
29
+ ··· + 20y + 1
c
9
, c
12
y
30
+ 10y
29
+ ··· + 14y + 1
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.445722 + 0.954794I
a = −1.65957 + 0.56811I
b = −0.574836 − 0.984730I
−0.43010 + 4.21658I −3.73888 − 7.94851I
u = 0.445722 − 0.954794I
a = −1.65957 − 0.56811I
b = −0.574836 + 0.984730I
−0.43010 − 4.21658I −3.73888 + 7.94851I
u = −0.308462 + 1.016310I
a = 0.930381 − 0.293040I
b = −0.58696 − 1.84384I
−5.94101 + 1.00334I −13.76651 − 2.47501I
u = −0.308462 − 1.016310I
a = 0.930381 + 0.293040I
b = −0.58696 + 1.84384I
−5.94101 − 1.00334I −13.76651 + 2.47501I
u = 0.550144 + 0.747189I
a = 1.00821 − 1.95221I
b = 0.036140 − 0.898819I
0.38574 + 1.80493I −11.3825 − 19.1307I
u = 0.550144 − 0.747189I
a = 1.00821 + 1.95221I
b = 0.036140 + 0.898819I
0.38574 − 1.80493I −11.3825 + 19.1307I
u = 0.479406 + 0.960770I
a = 2.15878 − 1.80135I
b = 0.082314 + 1.063390I
−0.29749 + 2.32333I −1.14621 − 12.73624I
u = 0.479406 − 0.960770I
a = 2.15878 + 1.80135I
b = 0.082314 − 1.063390I
−0.29749 − 2.32333I −1.14621 + 12.73624I
u = −0.199636 + 0.875305I
a = −1.41947 − 0.53770I
b = −0.17965 + 1.85776I
−5.21532 − 3.08728I −8.41567 + 0.63875I
u = −0.199636 − 0.875305I
a = −1.41947 + 0.53770I
b = −0.17965 − 1.85776I
−5.21532 + 3.08728I −8.41567 − 0.63875I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.487907 + 0.743348I
a = −0.295928 + 0.768409I
b = −0.591800 + 0.774680I
0.238077 − 0.383087I −1.58290 − 1.50378I
u = 0.487907 − 0.743348I
a = −0.295928 − 0.768409I
b = −0.591800 − 0.774680I
0.238077 + 0.383087I −1.58290 + 1.50378I
u = −0.729198 + 0.376162I
a = −0.90584 − 1.48708I
b = −0.755070 − 1.102790I
−1.82213 + 2.97745I −6.45991 − 3.30340I
u = −0.729198 − 0.376162I
a = −0.90584 + 1.48708I
b = −0.755070 + 1.102790I
−1.82213 − 2.97745I −6.45991 + 3.30340I
u = −0.899637 + 0.796429I
a = 0.095625 + 0.266244I
b = 0.295452 − 0.364975I
6.40181 − 6.63112I 0.84279 + 3.17821I
u = −0.899637 − 0.796429I
a = 0.095625 − 0.266244I
b = 0.295452 + 0.364975I
6.40181 + 6.63112I 0.84279 − 3.17821I
u = −0.340453 + 1.164410I
a = 1.38024 + 1.49102I
b = 0.672393 − 0.646111I
1.07852 − 7.98736I −4.00000 + 11.87705I
u = −0.340453 − 1.164410I
a = 1.38024 − 1.49102I
b = 0.672393 + 0.646111I
1.07852 + 7.98736I −4.00000 − 11.87705I
u = −0.564387 + 1.099550I
a = −1.87625 − 0.48376I
b = −1.06407 + 1.28895I
−3.93401 − 7.90064I −10.35948 + 7.50937I
u = −0.564387 − 1.099550I
a = −1.87625 + 0.48376I
b = −1.06407 − 1.28895I
−3.93401 + 7.90064I −10.35948 − 7.50937I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.197926 + 0.668079I
a = 1.90614 + 2.68099I
b = 0.717229 + 0.329616I
3.12459 + 5.59619I 2.69085 − 4.07860I
u = −0.197926 − 0.668079I
a = 1.90614 − 2.68099I
b = 0.717229 − 0.329616I
3.12459 − 5.59619I 2.69085 + 4.07860I
u = −0.901589 + 1.034270I
a = −0.141386 − 0.086425I
b = 0.157863 + 0.450157I
5.72044 + 0.00206I 5.25685 + 0.I
u = −0.901589 − 1.034270I
a = −0.141386 + 0.086425I
b = 0.157863 − 0.450157I
5.72044 − 0.00206I 5.25685 + 0.I
u = −0.079532 + 1.392870I
a = 0.239324 + 0.297812I
b = −0.207270 − 1.205400I
−7.44963 + 0.67114I −9.45187 + 0.I
u = −0.079532 − 1.392870I
a = 0.239324 − 0.297812I
b = −0.207270 + 1.205400I
−7.44963 − 0.67114I −9.45187 + 0.I
u = 0.08237 + 1.45314I
a = 0.367254 − 1.056200I
b = −0.124711 + 0.739093I
−5.53954 − 0.66816I −9.2942 + 11.9638I
u = 0.08237 − 1.45314I
a = 0.367254 + 1.056200I
b = −0.124711 − 0.739093I
−5.53954 + 0.66816I −9.2942 − 11.9638I
u = 0.175274 + 0.350098I
a = 0.21249 − 2.65739I
b = −0.377030 − 0.670119I
−1.12434 + 2.00392I −5.71869 − 5.01514I
u = 0.175274 − 0.350098I
a = 0.21249 + 2.65739I
b = −0.377030 + 0.670119I
−1.12434 − 2.00392I −5.71869 + 5.01514I
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
30
− 20u
29
+ ··· − 21u + 1)
· (u
135
+ 67u
134
+ ··· − 3424696u − 101761)
c
2
(u
30
− 4u
29
+ ··· − u + 1)(u
135
− u
134
+ ··· − 550u + 319)
c
3
(u
30
+ 2u
29
+ ··· + 3u + 1)(u
135
− u
134
+ ··· − 423962u + 25289)
c
4
(u
30
+ 2u
28
+ ··· + 6u + 1)(u
135
− 9u
134
+ ··· + 104857u + 98599)
c
5
(u
30
− u
29
+ ··· − u + 1)(u
135
− 6u
134
+ ··· + 6299728u − 1729139)
c
6
(u
30
+ 4u
29
+ ··· + u + 1)(u
135
− u
134
+ ··· − 550u + 319)
c
7
(u
30
+ 5u
29
+ ··· − 2u + 1)(u
135
+ 6u
134
+ ··· + 5575u + 4625)
c
8
(u
30
+ u
29
+ ··· + u + 1)(u
135
− 6u
134
+ ··· + 6299728u − 1729139)
c
9
(u
30
− 6u
29
+ ··· − 2u + 1)(u
135
− 3u
134
+ ··· + 6999u + 481)
c
10
(u
30
− 5u
29
+ ··· + 2u + 1)(u
135
+ 6u
134
+ ··· + 5575u + 4625)
c
11
(u
30
− 2u
29
+ ··· − 3u + 1)(u
135
− u
134
+ ··· − 423962u + 25289)
c
12
(u
30
+ 6u
29
+ ··· + 2u + 1)(u
135
− 3u
134
+ ··· + 6999u + 481)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
30
− 4y
29
+ ··· + 25y + 1)
· (y
135
+ 19y
134
+ ··· + 444067171988y −10355301121)
c
2
, c
6
(y
30
+ 20y
29
+ ··· + 21y + 1)
· (y
135
+ 67y
134
+ ··· − 3424696y −101761)
c
3
, c
11
(y
30
− 6y
29
+ ··· − 9y + 1)
· (y
135
− 71y
134
+ ··· + 117641731878y −639533521)
c
4
(y
30
+ 4y
29
+ ··· + 18y + 1)
· (y
135
+ 39y
134
+ ··· − 1832507948977y −9721762801)
c
5
, c
8
(y
30
+ 5y
29
+ ··· + 7y + 1)
· (y
135
+ 80y
134
+ ··· − 5136676650882y −2989921681321)
c
7
, c
10
(y
30
+ 25y
29
+ ··· + 20y + 1)
· (y
135
+ 84y
134
+ ··· − 2837251875y −21390625)
c
9
, c
12
(y
30
+ 10y
29
+ ··· + 14y + 1)
· (y
135
+ 77y
134
+ ··· − 2987973y −231361)
28
