12a
0965
(K12a
0965
)
A knot diagram
1
Linearized knot diagam
4 6 10 12 11 3 1 5 2 7 9 8
Solving Sequence
2,6
3
7,9
10 4 11 12 1 5 8
c
2
c
6
c
9
c
3
c
10
c
11
c
1
c
5
c
8
c
4
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h5.70198 × 10
1113
u
193
− 5.06279 × 10
1113
u
192
+ ··· + 2.49058 × 10
1112
b + 3.40214 × 10
1117
,
7.87713 × 10
1117
u
193
− 6.57773 × 10
1117
u
192
+ ··· + 1.33271 × 10
1116
a + 5.04524 × 10
1121
,
u
194
− 58u
192
+ ··· − 41332u + 5351i
I
u
2
= h−1.13596 × 10
59
u
45
+ 6.86725 × 10
58
u
44
+ ··· + 1.72718 × 10
58
b + 2.87571 × 10
60
,
− 8.87801 × 10
60
u
45
+ 1.72576 × 10
61
u
44
+ ··· + 6.39057 × 10
59
a − 4.86320 × 10
62
,
u
46
− u
45
+ ··· − 52u + 37i
* 2 irreducible components of dim
C
= 0, with total 240 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
= h5.70 × 10
1113
u
193
− 5.06 × 10
1113
u
192
+ · · · + 2.49 × 10
1112
b + 3.40 ×
10
1117
, 7.88 × 10
1117
u
193
− 6.58 × 10
1117
u
192
+ · · · + 1.33 × 10
1116
a + 5.05 ×
10
1121
, u
194
− 58u
192
+ · · · − 41332u + 5351i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
−u
2
a
7
=
u
−u
3
+ u
a
9
=
−59.1062u
193
+ 49.3561u
192
+ ··· + 3.37605 × 10
6
u − 378571.
−22.8942u
193
+ 20.3278u
192
+ ··· + 1.20662 × 10
6
u − 136601.
a
10
=
−36.2119u
193
+ 29.0283u
192
+ ··· + 2.16943 × 10
6
u − 241970.
−22.8942u
193
+ 20.3278u
192
+ ··· + 1.20662 × 10
6
u − 136601.
a
4
=
462.081u
193
− 402.665u
192
+ ··· − 2.50795 × 10
7
u + 2.82883 × 10
6
112.319u
193
− 101.833u
192
+ ··· − 5.83845 × 10
6
u + 661585.
a
11
=
−45.4132u
193
+ 37.5799u
192
+ ··· + 2.60857 × 10
6
u − 292161.
−23.9760u
193
+ 21.4281u
192
+ ··· + 1.24308 × 10
6
u − 141033.
a
12
=
37.1151u
193
− 37.1502u
192
+ ··· − 1.72919 × 10
6
u + 198801.
4.35805u
193
− 4.25435u
192
+ ··· − 223358.u + 25314.2
a
1
=
−1906.95u
193
+ 1772.17u
192
+ ··· + 9.65016 × 10
7
u − 1.09687 × 10
7
−293.512u
193
+ 275.886u
192
+ ··· + 1.46532 × 10
7
u − 1.66814 × 10
6
a
5
=
411.748u
193
− 359.640u
192
+ ··· − 2.23091 × 10
7
u + 2.51690 × 10
6
99.5315u
193
− 90.3895u
192
+ ··· − 5.16861 × 10
6
u + 585822.
a
8
=
−1576.82u
193
+ 1386.91u
192
+ ··· + 8.48206 × 10
7
u − 9.57661 × 10
6
−363.820u
193
+ 324.005u
192
+ ··· + 1.93187 × 10
7
u − 2.18417 × 10
6
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1479.28u
193
−1327.25u
192
+ ··· −7.80477 ×10
7
u + 8.82846 ×10
6
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
194
− 14u
193
+ ··· − 10335075u + 452173
c
2
, c
6
u
194
− 58u
192
+ ··· + 41332u + 5351
c
3
u
194
− 7u
193
+ ··· + 39248422u + 9682667
c
4
u
194
− 10u
192
+ ··· + 592u + 32
c
5
u
194
− 7u
193
+ ··· + 8037239426u + 414181957
c
7
, c
12
u
194
+ 73u
192
+ ··· + 2028865u + 69361
c
8
u
194
− 5u
193
+ ··· + 20845830u + 2067743
c
9
u
194
+ 25u
192
+ ··· − 128757u + 4502
c
10
u
194
− 3u
192
+ ··· + 58245120u + 4562944
c
11
u
194
+ 7u
193
+ ··· − 1621u + 64
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
194
+ 30y
193
+ ··· + 24812515342591y + 204460421929
c
2
, c
6
y
194
− 116y
193
+ ··· − 698910882y + 28633201
c
3
y
194
+ 33y
193
+ ··· + 6027177013969630y + 93754040232889
c
4
y
194
− 20y
193
+ ··· − 3328y + 1024
c
5
y
194
+ 43y
193
+ ··· + 1.01 × 10
19
y + 1.72 × 10
17
c
7
, c
12
y
194
+ 146y
193
+ ··· + 47660025157y + 4810948321
c
8
y
194
− 59y
193
+ ··· − 302813164355902y + 4275561114049
c
9
y
194
+ 50y
193
+ ··· − 2034708073y + 20268004
c
10
y
194
− 6y
193
+ ··· − 1452285242638336y + 20820457947136
c
11
y
194
+ 17y
193
+ ··· + 497991y + 4096
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.947923 + 0.331996I
a = 0.572807 + 0.288540I
b = 1.50681 + 0.26720I
−2.68206 + 4.37253I 0
u = 0.947923 − 0.331996I
a = 0.572807 − 0.288540I
b = 1.50681 − 0.26720I
−2.68206 − 4.37253I 0
u = −0.981969 + 0.224704I
a = −0.891442 − 0.223944I
b = −0.958084 + 0.949547I
−3.13647 − 0.02983I 0
u = −0.981969 − 0.224704I
a = −0.891442 + 0.223944I
b = −0.958084 − 0.949547I
−3.13647 + 0.02983I 0
u = −0.978684 + 0.165722I
a = 1.79995 − 0.83672I
b = 1.141760 + 0.208392I
0.47696 − 2.42283I 0
u = −0.978684 − 0.165722I
a = 1.79995 + 0.83672I
b = 1.141760 − 0.208392I
0.47696 + 2.42283I 0
u = −0.971757 + 0.189617I
a = −0.71447 + 1.22597I
b = −1.37538 − 1.61085I
2.03903 − 5.82281I 0
u = −0.971757 − 0.189617I
a = −0.71447 − 1.22597I
b = −1.37538 + 1.61085I
2.03903 + 5.82281I 0
u = 0.242740 + 0.959618I
a = −0.119747 − 0.662601I
b = −0.491653 − 0.652462I
−6.24043 − 1.77674I 0
u = 0.242740 − 0.959618I
a = −0.119747 + 0.662601I
b = −0.491653 + 0.652462I
−6.24043 + 1.77674I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.919086 + 0.366049I
a = −1.46999 − 0.03993I
b = −0.680198 − 0.400565I
1.62786 − 2.00278I 0
u = −0.919086 − 0.366049I
a = −1.46999 + 0.03993I
b = −0.680198 + 0.400565I
1.62786 + 2.00278I 0
u = −1.005110 + 0.111196I
a = 1.97347 − 2.78647I
b = 0.983588 + 0.558412I
0.04601 − 2.40068I 0
u = −1.005110 − 0.111196I
a = 1.97347 + 2.78647I
b = 0.983588 − 0.558412I
0.04601 + 2.40068I 0
u = 1.019800 + 0.016340I
a = 0.867013 + 0.710888I
b = 1.83714 − 0.41899I
0.85840 − 5.37053I 0
u = 1.019800 − 0.016340I
a = 0.867013 − 0.710888I
b = 1.83714 + 0.41899I
0.85840 + 5.37053I 0
u = −0.416479 + 0.935043I
a = 0.394206 + 0.046646I
b = 0.665562 + 0.328631I
−1.45555 − 7.40018I 0
u = −0.416479 − 0.935043I
a = 0.394206 − 0.046646I
b = 0.665562 − 0.328631I
−1.45555 + 7.40018I 0
u = −0.299064 + 0.919963I
a = 1.26393 − 0.72352I
b = 1.002330 − 0.798991I
−4.64751 + 7.03213I 0
u = −0.299064 − 0.919963I
a = 1.26393 + 0.72352I
b = 1.002330 + 0.798991I
−4.64751 − 7.03213I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.037900 + 0.038910I
a = −0.537831 − 0.730210I
b = −1.75276 + 0.79056I
5.07383 − 0.07566I 0
u = 1.037900 − 0.038910I
a = −0.537831 + 0.730210I
b = −1.75276 − 0.79056I
5.07383 + 0.07566I 0
u = 0.971771 + 0.367798I
a = −0.782391 − 0.732982I
b = −1.79646 + 0.44044I
−2.15828 + 5.65609I 0
u = 0.971771 − 0.367798I
a = −0.782391 + 0.732982I
b = −1.79646 − 0.44044I
−2.15828 − 5.65609I 0
u = 0.994347 + 0.324852I
a = −1.72248 + 0.26511I
b = −0.837753 + 0.264799I
1.41669 + 7.26622I 0
u = 0.994347 − 0.324852I
a = −1.72248 − 0.26511I
b = −0.837753 − 0.264799I
1.41669 − 7.26622I 0
u = 0.861530 + 0.398404I
a = 1.15042 + 1.35854I
b = 0.995082 − 0.362246I
−1.29826 + 3.63941I 0
u = 0.861530 − 0.398404I
a = 1.15042 − 1.35854I
b = 0.995082 + 0.362246I
−1.29826 − 3.63941I 0
u = 1.014940 + 0.299173I
a = 2.30675 − 0.08560I
b = 0.796247 − 0.447133I
−2.32552 + 12.13860I 0
u = 1.014940 − 0.299173I
a = 2.30675 + 0.08560I
b = 0.796247 + 0.447133I
−2.32552 − 12.13860I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.949927 + 0.479755I
a = 1.59905 + 1.06783I
b = 1.271410 − 0.328824I
−1.36292 + 3.61911I 0
u = 0.949927 − 0.479755I
a = 1.59905 − 1.06783I
b = 1.271410 + 0.328824I
−1.36292 − 3.61911I 0
u = 0.119944 + 1.059740I
a = 0.717860 + 0.664999I
b = 0.737846 + 0.810528I
−4.07802 − 6.14380I 0
u = 0.119944 − 1.059740I
a = 0.717860 − 0.664999I
b = 0.737846 − 0.810528I
−4.07802 + 6.14380I 0
u = 0.933368 + 0.524758I
a = 0.693381 + 0.576202I
b = −0.184109 − 0.219974I
3.58341 + 1.41435I 0
u = 0.933368 − 0.524758I
a = 0.693381 − 0.576202I
b = −0.184109 + 0.219974I
3.58341 − 1.41435I 0
u = −0.925634 + 0.049239I
a = −2.89444 − 4.51119I
b = −0.088386 + 0.208555I
−1.83143 − 0.15934I 0
u = −0.925634 − 0.049239I
a = −2.89444 + 4.51119I
b = −0.088386 − 0.208555I
−1.83143 + 0.15934I 0
u = −0.900797 + 0.192335I
a = 0.741973 − 1.166170I
b = 1.11054 + 2.37250I
−2.85435 − 10.62550I 0
u = −0.900797 − 0.192335I
a = 0.741973 + 1.166170I
b = 1.11054 − 2.37250I
−2.85435 + 10.62550I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.000398 + 1.083080I
a = 0.76701 + 1.34290I
b = 0.710789 + 1.066080I
−0.04302 − 2.85925I 0
u = −0.000398 − 1.083080I
a = 0.76701 − 1.34290I
b = 0.710789 − 1.066080I
−0.04302 + 2.85925I 0
u = −1.065590 + 0.195563I
a = 1.69126 − 1.12723I
b = 0.526506 + 0.173315I
−0.805215 − 0.438122I 0
u = −1.065590 − 0.195563I
a = 1.69126 + 1.12723I
b = 0.526506 − 0.173315I
−0.805215 + 0.438122I 0
u = −0.909756 + 0.024083I
a = −5.04265 − 2.44622I
b = −0.872771 − 0.457999I
−0.22970 − 2.03408I 0
u = −0.909756 − 0.024083I
a = −5.04265 + 2.44622I
b = −0.872771 + 0.457999I
−0.22970 + 2.03408I 0
u = 0.673297 + 0.610520I
a = −2.28568 − 0.75103I
b = −1.296960 − 0.083637I
−4.27469 − 4.95369I 0
u = 0.673297 − 0.610520I
a = −2.28568 + 0.75103I
b = −1.296960 + 0.083637I
−4.27469 + 4.95369I 0
u = −0.392179 + 0.816269I
a = −0.640342 − 0.339894I
b = −0.655466 − 0.550712I
2.39129 − 3.50446I 0
u = −0.392179 − 0.816269I
a = −0.640342 + 0.339894I
b = −0.655466 + 0.550712I
2.39129 + 3.50446I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.445035 + 1.001520I
a = −0.368508 + 0.575541I
b = −0.255995 + 0.129102I
−5.79241 − 0.57709I 0
u = 0.445035 − 1.001520I
a = −0.368508 − 0.575541I
b = −0.255995 − 0.129102I
−5.79241 + 0.57709I 0
u = 0.842850 + 0.313569I
a = −0.853411 − 0.310842I
b = 0.565258 + 0.151823I
0.24844 − 4.80735I 0
u = 0.842850 − 0.313569I
a = −0.853411 + 0.310842I
b = 0.565258 − 0.151823I
0.24844 + 4.80735I 0
u = 1.101630 + 0.139223I
a = 0.499275 + 0.602243I
b = 1.33363 − 1.16532I
1.26469 + 4.91691I 0
u = 1.101630 − 0.139223I
a = 0.499275 − 0.602243I
b = 1.33363 + 1.16532I
1.26469 − 4.91691I 0
u = 0.072672 + 1.110770I
a = −1.39812 − 0.97719I
b = −1.13581 − 0.88492I
−1.59743 − 6.92013I 0
u = 0.072672 − 1.110770I
a = −1.39812 + 0.97719I
b = −1.13581 + 0.88492I
−1.59743 + 6.92013I 0
u = 0.158306 + 1.110260I
a = −0.740042 − 0.503425I
b = −0.631619 − 0.605613I
−1.53143 − 4.26329I 0
u = 0.158306 − 1.110260I
a = −0.740042 + 0.503425I
b = −0.631619 + 0.605613I
−1.53143 + 4.26329I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.364651 + 1.065390I
a = −1.09875 + 0.99002I
b = −0.863661 + 0.807599I
−1.43068 − 0.47578I 0
u = −0.364651 − 1.065390I
a = −1.09875 − 0.99002I
b = −0.863661 − 0.807599I
−1.43068 + 0.47578I 0
u = −0.120456 + 1.145090I
a = −1.07071 + 1.10493I
b = −0.968222 + 1.029430I
−4.0978 + 15.5564I 0
u = −0.120456 − 1.145090I
a = −1.07071 − 1.10493I
b = −0.968222 − 1.029430I
−4.0978 − 15.5564I 0
u = 0.780046 + 0.330502I
a = 0.21753 − 2.22198I
b = −0.0553746 + 0.0386235I
−4.96630 − 0.08328I 0
u = 0.780046 − 0.330502I
a = 0.21753 + 2.22198I
b = −0.0553746 − 0.0386235I
−4.96630 + 0.08328I 0
u = 0.303847 + 0.775725I
a = −0.267525 − 0.283286I
b = 0.141287 − 0.600813I
0.46387 − 4.33012I 0
u = 0.303847 − 0.775725I
a = −0.267525 + 0.283286I
b = 0.141287 + 0.600813I
0.46387 + 4.33012I 0
u = 0.718462 + 0.412338I
a = −1.68423 + 0.87405I
b = −0.695271 + 0.059393I
−5.06976 + 3.42830I 0
u = 0.718462 − 0.412338I
a = −1.68423 − 0.87405I
b = −0.695271 − 0.059393I
−5.06976 − 3.42830I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.173288 + 1.167330I
a = 0.98329 − 1.22412I
b = 0.855436 − 1.079380I
0.72726 + 9.05904I 0
u = −0.173288 − 1.167330I
a = 0.98329 + 1.22412I
b = 0.855436 + 1.079380I
0.72726 − 9.05904I 0
u = 0.736834 + 0.344771I
a = 0.084235 + 0.362054I
b = −0.847476 − 0.994550I
−4.59229 + 2.12496I 0
u = 0.736834 − 0.344771I
a = 0.084235 − 0.362054I
b = −0.847476 + 0.994550I
−4.59229 − 2.12496I 0
u = −0.205513 + 1.178860I
a = 1.045150 − 0.498344I
b = 0.934368 − 0.367938I
−7.79487 − 5.04683I 0
u = −0.205513 − 1.178860I
a = 1.045150 + 0.498344I
b = 0.934368 + 0.367938I
−7.79487 + 5.04683I 0
u = −0.786390 + 0.157909I
a = −0.11934 − 2.74963I
b = 0.503097 − 0.356861I
−0.240140 + 1.101780I 0
u = −0.786390 − 0.157909I
a = −0.11934 + 2.74963I
b = 0.503097 + 0.356861I
−0.240140 − 1.101780I 0
u = −0.738038 + 0.294087I
a = 0.049927 − 0.670113I
b = 1.47793 − 1.06366I
−3.12139 + 8.23883I 0
u = −0.738038 − 0.294087I
a = 0.049927 + 0.670113I
b = 1.47793 + 1.06366I
−3.12139 − 8.23883I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.788064 + 0.099186I
a = −0.00209 − 2.30500I
b = 0.626458 + 0.056193I
−0.213557 + 0.891904I 0
u = −0.788064 − 0.099186I
a = −0.00209 + 2.30500I
b = 0.626458 − 0.056193I
−0.213557 − 0.891904I 0
u = −1.199670 + 0.200323I
a = −0.194407 + 0.802858I
b = −1.72279 + 2.41354I
0.11363 − 10.61130I 0
u = −1.199670 − 0.200323I
a = −0.194407 − 0.802858I
b = −1.72279 − 2.41354I
0.11363 + 10.61130I 0
u = −1.173260 + 0.347327I
a = −0.537563 + 0.930885I
b = −0.467521 − 1.035100I
6.37415 − 3.86602I 0
u = −1.173260 − 0.347327I
a = −0.537563 − 0.930885I
b = −0.467521 + 1.035100I
6.37415 + 3.86602I 0
u = 0.639337 + 0.426769I
a = −1.85543 − 2.55450I
b = −0.818573 − 0.383949I
−4.34068 + 9.17650I 0
u = 0.639337 − 0.426769I
a = −1.85543 + 2.55450I
b = −0.818573 + 0.383949I
−4.34068 − 9.17650I 0
u = 0.694103 + 0.316211I
a = −0.452077 − 0.975669I
b = 0.112208 + 1.180470I
−4.72042 + 1.10944I 0
u = 0.694103 − 0.316211I
a = −0.452077 + 0.975669I
b = 0.112208 − 1.180470I
−4.72042 − 1.10944I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.732166 + 0.110883I
a = 0.58446 + 1.59036I
b = −0.095452 − 1.289150I
−4.12461 − 1.87292I 0
u = −0.732166 − 0.110883I
a = 0.58446 − 1.59036I
b = −0.095452 + 1.289150I
−4.12461 + 1.87292I 0
u = 1.243140 + 0.222134I
a = 0.083190 − 0.255573I
b = −0.58211 − 1.69236I
4.78884 + 3.42042I 0
u = 1.243140 − 0.222134I
a = 0.083190 + 0.255573I
b = −0.58211 + 1.69236I
4.78884 − 3.42042I 0
u = −0.699404 + 0.195245I
a = −0.561702 + 0.764471I
b = −1.24729 + 0.73814I
1.29201 + 3.83982I 0
u = −0.699404 − 0.195245I
a = −0.561702 − 0.764471I
b = −1.24729 − 0.73814I
1.29201 − 3.83982I 0
u = 1.220070 + 0.374478I
a = −0.803906 − 0.240040I
b = −0.61107 + 1.77126I
3.68738 + 7.09021I 0
u = 1.220070 − 0.374478I
a = −0.803906 + 0.240040I
b = −0.61107 − 1.77126I
3.68738 − 7.09021I 0
u = 1.069120 + 0.710490I
a = 1.042590 + 0.015513I
b = 0.214598 − 0.434323I
4.10466 + 3.68887I 0
u = 1.069120 − 0.710490I
a = 1.042590 − 0.015513I
b = 0.214598 + 0.434323I
4.10466 − 3.68887I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.045830 + 0.714489I
a = 1.89088 + 1.25804I
b = 0.722758 + 0.861585I
−3.68156 + 0.83817I 0
u = 0.045830 − 0.714489I
a = 1.89088 − 1.25804I
b = 0.722758 − 0.861585I
−3.68156 − 0.83817I 0
u = −0.229457 + 0.673443I
a = −0.501545 + 1.033570I
b = 0.114705 + 0.751477I
0.38309 − 1.57593I 0
u = −0.229457 − 0.673443I
a = −0.501545 − 1.033570I
b = 0.114705 − 0.751477I
0.38309 + 1.57593I 0
u = 1.232540 + 0.378618I
a = 0.534838 + 0.234604I
b = 0.251661 − 1.389390I
4.48041 + 5.33313I 0
u = 1.232540 − 0.378618I
a = 0.534838 − 0.234604I
b = 0.251661 + 1.389390I
4.48041 − 5.33313I 0
u = 1.168860 + 0.564210I
a = −0.338494 − 0.481483I
b = −0.177982 + 0.486712I
−3.35382 + 6.17066I 0
u = 1.168860 − 0.564210I
a = −0.338494 + 0.481483I
b = −0.177982 − 0.486712I
−3.35382 − 6.17066I 0
u = −1.265080 + 0.354610I
a = 0.527168 − 0.525228I
b = 0.280607 + 1.079290I
5.01594 + 0.51047I 0
u = −1.265080 − 0.354610I
a = 0.527168 + 0.525228I
b = 0.280607 − 1.079290I
5.01594 − 0.51047I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.199880 + 0.559544I
a = 1.36169 − 0.78056I
b = 1.06408 + 1.00449I
−1.82416 − 12.41890I 0
u = −1.199880 − 0.559544I
a = 1.36169 + 0.78056I
b = 1.06408 − 1.00449I
−1.82416 + 12.41890I 0
u = 1.279880 + 0.346924I
a = −0.708894 − 0.658685I
b = −0.812610 + 1.056350I
7.24572 + 7.26236I 0
u = 1.279880 − 0.346924I
a = −0.708894 + 0.658685I
b = −0.812610 − 1.056350I
7.24572 − 7.26236I 0
u = −1.134700 + 0.686378I
a = 0.941981 + 0.561003I
b = 0.180735 + 0.870292I
1.83974 − 1.38659I 0
u = −1.134700 − 0.686378I
a = 0.941981 − 0.561003I
b = 0.180735 − 0.870292I
1.83974 + 1.38659I 0
u = −1.328490 + 0.035144I
a = 0.610466 − 0.051178I
b = −0.348970 − 0.414984I
0.784388 − 1.025600I 0
u = −1.328490 − 0.035144I
a = 0.610466 + 0.051178I
b = −0.348970 + 0.414984I
0.784388 + 1.025600I 0
u = 1.228480 + 0.507807I
a = −0.842252 + 0.053914I
b = −0.53290 + 1.44990I
−3.10333 + 7.03471I 0
u = 1.228480 − 0.507807I
a = −0.842252 − 0.053914I
b = −0.53290 − 1.44990I
−3.10333 − 7.03471I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.557048 + 0.367164I
a = 0.943932 + 0.446269I
b = 1.016560 + 0.190251I
−2.07147 − 0.24678I 0
u = 0.557048 − 0.367164I
a = 0.943932 − 0.446269I
b = 1.016560 − 0.190251I
−2.07147 + 0.24678I 0
u = −0.170605 + 1.334150I
a = 0.06255 + 1.51649I
b = −0.071512 + 1.223330I
−4.60511 + 0.31051I 0
u = −0.170605 − 1.334150I
a = 0.06255 − 1.51649I
b = −0.071512 − 1.223330I
−4.60511 − 0.31051I 0
u = −0.151332 + 0.634082I
a = −0.09992 − 1.71335I
b = −0.611349 − 1.079370I
−0.21406 − 3.38950I 0
u = −0.151332 − 0.634082I
a = −0.09992 + 1.71335I
b = −0.611349 + 1.079370I
−0.21406 + 3.38950I 0
u = 1.326900 + 0.242942I
a = 0.761329 + 0.153328I
b = 1.01185 − 1.29740I
1.59931 + 4.76767I 0
u = 1.326900 − 0.242942I
a = 0.761329 − 0.153328I
b = 1.01185 + 1.29740I
1.59931 − 4.76767I 0
u = −1.343640 + 0.124645I
a = 0.122614 − 0.997133I
b = 0.86387 − 2.68370I
5.20485 − 4.15203I 0
u = −1.343640 − 0.124645I
a = 0.122614 + 0.997133I
b = 0.86387 + 2.68370I
5.20485 + 4.15203I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.309980 + 0.353078I
a = 0.495916 + 0.738338I
b = 0.742765 − 0.909847I
3.71976 + 11.48020I 0
u = 1.309980 − 0.353078I
a = 0.495916 − 0.738338I
b = 0.742765 + 0.909847I
3.71976 − 11.48020I 0
u = −1.215520 + 0.607808I
a = −1.46890 + 0.57346I
b = −1.09251 − 0.90467I
1.33980 − 5.46884I 0
u = −1.215520 − 0.607808I
a = −1.46890 − 0.57346I
b = −1.09251 + 0.90467I
1.33980 + 5.46884I 0
u = −1.213060 + 0.622508I
a = −1.160350 + 0.001955I
b = −0.551220 − 0.847098I
2.78964 − 3.67123I 0
u = −1.213060 − 0.622508I
a = −1.160350 − 0.001955I
b = −0.551220 + 0.847098I
2.78964 + 3.67123I 0
u = 1.368190 + 0.165498I
a = 0.536772 − 0.808631I
b = 0.40425 − 2.59739I
5.37222 + 3.73424I 0
u = 1.368190 − 0.165498I
a = 0.536772 + 0.808631I
b = 0.40425 + 2.59739I
5.37222 − 3.73424I 0
u = 1.231610 + 0.627681I
a = −1.007320 − 0.236884I
b = −0.431830 + 0.733487I
3.03581 + 9.91803I 0
u = 1.231610 − 0.627681I
a = −1.007320 + 0.236884I
b = −0.431830 − 0.733487I
3.03581 − 9.91803I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.252220 + 0.593578I
a = 1.216040 − 0.587638I
b = 1.21800 + 0.75963I
−4.52053 − 1.00760I 0
u = −1.252220 − 0.593578I
a = 1.216040 + 0.587638I
b = 1.21800 − 0.75963I
−4.52053 + 1.00760I 0
u = −1.250900 + 0.615755I
a = −0.522471 − 0.394624I
b = 0.055630 − 1.136960I
−0.50410 − 5.85908I 0
u = −1.250900 − 0.615755I
a = −0.522471 + 0.394624I
b = 0.055630 + 1.136960I
−0.50410 + 5.85908I 0
u = −1.372470 + 0.280223I
a = 0.164560 − 0.142742I
b = 0.126800 + 0.797033I
4.11992 − 0.71133I 0
u = −1.372470 − 0.280223I
a = 0.164560 + 0.142742I
b = 0.126800 − 0.797033I
4.11992 + 0.71133I 0
u = −0.312257 + 0.511071I
a = −0.11408 + 1.75598I
b = 0.073664 + 0.664958I
0.15039 − 1.46352I 0
u = −0.312257 − 0.511071I
a = −0.11408 − 1.75598I
b = 0.073664 − 0.664958I
0.15039 + 1.46352I 0
u = 1.29946 + 0.56239I
a = 1.116000 + 0.410760I
b = 0.90120 − 1.17981I
−0.39616 + 11.89160I 0
u = 1.29946 − 0.56239I
a = 1.116000 − 0.410760I
b = 0.90120 + 1.17981I
−0.39616 − 11.89160I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.30458 + 0.58326I
a = −1.080590 − 0.413636I
b = −0.863124 + 0.933887I
2.08884 + 10.22820I 0
u = 1.30458 − 0.58326I
a = −1.080590 + 0.413636I
b = −0.863124 − 0.933887I
2.08884 − 10.22820I 0
u = −1.39967 + 0.32402I
a = −0.339138 + 0.111658I
b = 0.020701 − 0.703415I
1.12299 + 1.01243I 0
u = −1.39967 − 0.32402I
a = −0.339138 − 0.111658I
b = 0.020701 + 0.703415I
1.12299 − 1.01243I 0
u = 1.33373 + 0.54317I
a = 1.43037 + 0.18783I
b = 1.26508 − 1.40612I
4.06529 + 8.57488I 0
u = 1.33373 − 0.54317I
a = 1.43037 − 0.18783I
b = 1.26508 + 1.40612I
4.06529 − 8.57488I 0
u = 1.32764 + 0.55937I
a = −1.44277 − 0.56121I
b = −1.41689 + 1.07811I
2.33486 + 12.78190I 0
u = 1.32764 − 0.55937I
a = −1.44277 + 0.56121I
b = −1.41689 − 1.07811I
2.33486 − 12.78190I 0
u = 0.393925 + 0.393377I
a = −0.22060 − 3.04236I
b = −0.053370 − 0.532854I
−0.20616 − 4.13054I 0
u = 0.393925 − 0.393377I
a = −0.22060 + 3.04236I
b = −0.053370 + 0.532854I
−0.20616 + 4.13054I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.32940 + 0.59053I
a = −1.46061 + 0.36629I
b = −1.28311 − 1.26794I
−0.2972 − 21.6535I 0
u = −1.32940 − 0.59053I
a = −1.46061 − 0.36629I
b = −1.28311 + 1.26794I
−0.2972 + 21.6535I 0
u = 0.327937 + 0.434640I
a = −1.01248 − 1.69243I
b = −1.237100 + 0.131525I
−3.81861 − 2.23994I 0
u = 0.327937 − 0.434640I
a = −1.01248 + 1.69243I
b = −1.237100 − 0.131525I
−3.81861 + 2.23994I 0
u = −1.32471 + 0.60709I
a = 1.52161 − 0.26809I
b = 1.24579 + 1.27400I
4.3880 − 15.2899I 0
u = −1.32471 − 0.60709I
a = 1.52161 + 0.26809I
b = 1.24579 − 1.27400I
4.3880 + 15.2899I 0
u = −0.356477 + 0.403735I
a = −1.09147 + 1.46499I
b = −0.129948 + 0.517508I
0.226295 − 1.329620I 0
u = −0.356477 − 0.403735I
a = −1.09147 − 1.46499I
b = −0.129948 − 0.517508I
0.226295 + 1.329620I 0
u = −1.32508 + 0.66526I
a = 0.440460 + 0.054754I
b = 0.083327 + 0.581731I
4.87925 − 2.69183I 0
u = −1.32508 − 0.66526I
a = 0.440460 − 0.054754I
b = 0.083327 − 0.581731I
4.87925 + 2.69183I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.45138 + 0.36391I
a = −0.045377 + 0.553103I
b = −0.619242 + 1.075190I
3.62718 + 1.32004I 0
u = −1.45138 − 0.36391I
a = −0.045377 − 0.553103I
b = −0.619242 − 1.075190I
3.62718 − 1.32004I 0
u = 1.47689 + 0.25298I
a = −0.258157 + 0.501124I
b = 0.14372 + 1.50075I
6.73334 − 3.66800I 0
u = 1.47689 − 0.25298I
a = −0.258157 − 0.501124I
b = 0.14372 − 1.50075I
6.73334 + 3.66800I 0
u = 0.324758 + 0.376104I
a = 1.37658 + 1.62560I
b = 0.669666 − 0.635079I
−4.20736 − 1.16852I 0
u = 0.324758 − 0.376104I
a = 1.37658 − 1.62560I
b = 0.669666 + 0.635079I
−4.20736 + 1.16852I 0
u = 1.38229 + 0.60733I
a = 0.796817 + 0.565391I
b = 0.986230 − 0.412736I
−3.16987 + 11.58950I 0
u = 1.38229 − 0.60733I
a = 0.796817 − 0.565391I
b = 0.986230 + 0.412736I
−3.16987 − 11.58950I 0
u = −1.42666 + 0.56599I
a = −0.279828 + 0.153243I
b = −0.080000 − 0.315556I
1.64762 + 0.68403I 0
u = −1.42666 − 0.56599I
a = −0.279828 − 0.153243I
b = −0.080000 + 0.315556I
1.64762 − 0.68403I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.40848 + 0.64591I
a = −1.63647 − 0.31927I
b = −1.30068 − 1.59525I
−0.43883 − 7.19728I 0
u = −1.40848 − 0.64591I
a = −1.63647 + 0.31927I
b = −1.30068 + 1.59525I
−0.43883 + 7.19728I 0
u = 0.369658 + 0.230824I
a = 0.04073 + 4.72102I
b = −0.028194 + 0.749393I
−4.07028 − 9.42067I 0
u = 0.369658 − 0.230824I
a = 0.04073 − 4.72102I
b = −0.028194 − 0.749393I
−4.07028 + 9.42067I 0
u = 0.054813 + 0.424369I
a = −0.263292 − 0.606806I
b = −0.620178 + 0.606316I
2.95240 + 0.68736I 0
u = 0.054813 − 0.424369I
a = −0.263292 + 0.606806I
b = −0.620178 − 0.606316I
2.95240 − 0.68736I 0
u = 1.54273 + 0.33360I
a = 0.214418 − 0.499304I
b = −0.257424 − 1.180580I
1.49697 − 9.80022I 0
u = 1.54273 − 0.33360I
a = 0.214418 + 0.499304I
b = −0.257424 + 1.180580I
1.49697 + 9.80022I 0
u = −1.58121 + 0.37152I
a = −0.686844 − 0.852165I
b = −0.44973 − 1.78056I
4.94757 − 3.39221I 0
u = −1.58121 − 0.37152I
a = −0.686844 + 0.852165I
b = −0.44973 + 1.78056I
4.94757 + 3.39221I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.10764 + 1.65505I
a = 0.513938 − 0.045154I
b = 0.430379 + 0.005160I
−7.64421 − 4.71118I 0
u = 0.10764 − 1.65505I
a = 0.513938 + 0.045154I
b = 0.430379 − 0.005160I
−7.64421 + 4.71118I 0
u = 0.001759 + 0.325584I
a = 0.63482 + 2.59464I
b = 1.034150 + 0.632450I
−1.79040 − 2.88308I −4.59441 + 2.27927I
u = 0.001759 − 0.325584I
a = 0.63482 − 2.59464I
b = 1.034150 − 0.632450I
−1.79040 + 2.88308I −4.59441 − 2.27927I
24
II. I
u
2
= h−1.14 × 10
59
u
45
+ 6.87 × 10
58
u
44
+ · · · + 1.73 × 10
58
b + 2.88 ×
10
60
, −8.88 × 10
60
u
45
+ 1.73 × 10
61
u
44
+ · · · + 6.39 × 10
59
a − 4.86 ×
10
62
, u
46
− u
45
+ · · · − 52u + 37i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
−u
2
a
7
=
u
−u
3
+ u
a
9
=
13.8924u
45
− 27.0048u
44
+ ··· − 1957.05u + 760.996
6.57699u
45
− 3.97599u
44
+ ··· − 168.055u − 166.497
a
10
=
7.31538u
45
− 23.0288u
44
+ ··· − 1788.99u + 927.493
6.57699u
45
− 3.97599u
44
+ ··· − 168.055u − 166.497
a
4
=
32.5454u
45
− 50.6553u
44
+ ··· − 3567.38u + 1175.55
22.3977u
45
− 44.0941u
44
+ ··· − 2693.96u + 1102.82
a
11
=
8.64614u
45
− 18.5057u
44
+ ··· − 1420.01u + 579.987
7.82323u
45
− 2.83405u
44
+ ··· − 54.2378u − 297.407
a
12
=
−40.8253u
45
+ 66.9522u
44
+ ··· + 3713.95u − 1211.89
−6.81181u
45
+ 13.0276u
44
+ ··· + 730.233u − 355.907
a
1
=
−444.087u
45
+ 825.054u
44
+ ··· + 47382.7u − 18472.3
−89.4575u
45
+ 172.310u
44
+ ··· + 9812.74u − 3958.32
a
5
=
25.4533u
45
− 51.8436u
44
+ ··· − 3605.30u + 1507.72
24.9718u
45
− 41.8997u
44
+ ··· − 2443.82u + 820.851
a
8
=
153.547u
45
− 269.675u
44
+ ··· − 17491.9u + 6453.87
47.6475u
45
− 92.0674u
44
+ ··· − 5843.97u + 2384.23
(ii) Obstruction class = 1
(iii) Cusp Shapes = −403.288u
45
+ 738.746u
44
+ ··· + 42741.3u − 16456.8
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
46
− 7u
45
+ ··· + 95u + 17
c
2
u
46
− u
45
+ ··· − 52u + 37
c
3
u
46
− 2u
44
+ ··· − 4u + 1
c
4
u
46
+ 3u
45
+ ··· − 6u + 1
c
5
u
46
+ u
44
+ ··· + 12u + 1
c
6
u
46
+ u
45
+ ··· + 52u + 37
c
7
u
46
− u
45
+ ··· − 11u + 1
c
8
u
46
+ 4u
45
+ ··· − 6u + 1
c
9
u
46
− u
45
+ ··· − 5u + 1
c
10
u
46
+ u
45
+ ··· − 7u + 1
c
11
u
46
+ 16u
45
+ ··· − 6u + 1
c
12
u
46
+ u
45
+ ··· + 11u + 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
46
+ 5y
45
+ ··· + 1005y + 289
c
2
, c
6
y
46
− 25y
45
+ ··· − 17504y + 1369
c
3
y
46
− 4y
45
+ ··· + 64y + 1
c
4
y
46
− 9y
45
+ ··· + 32y + 1
c
5
y
46
+ 2y
45
+ ··· + 14y + 1
c
7
, c
12
y
46
+ 45y
45
+ ··· + 459y + 1
c
8
y
46
− 24y
45
+ ··· − 16y + 1
c
9
y
46
+ 41y
45
+ ··· + 19y + 1
c
10
y
46
+ 21y
45
+ ··· − 27y + 1
c
11
y
46
+ 8y
45
+ ··· − 22y + 1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.135297 + 0.979036I
a = −1.275450 − 0.465996I
b = −0.981284 − 0.629432I
−2.45450 − 6.35990I −4.14823 + 7.21780I
u = 0.135297 − 0.979036I
a = −1.275450 + 0.465996I
b = −0.981284 + 0.629432I
−2.45450 + 6.35990I −4.14823 − 7.21780I
u = −0.928460 + 0.181250I
a = −2.32120 + 1.36341I
b = −0.957837 − 0.451213I
−0.12669 − 2.60768I −6.25044 + 7.49678I
u = −0.928460 − 0.181250I
a = −2.32120 − 1.36341I
b = −0.957837 + 0.451213I
−0.12669 + 2.60768I −6.25044 − 7.49678I
u = −0.905168 + 0.594137I
a = 0.328548 + 0.343283I
b = −0.709729 + 0.611134I
−0.90700 − 6.70631I 0. + 10.02652I
u = −0.905168 − 0.594137I
a = 0.328548 − 0.343283I
b = −0.709729 − 0.611134I
−0.90700 + 6.70631I 0. − 10.02652I
u = −0.897956 + 0.053617I
a = −2.21174 − 4.20061I
b = −0.101095 + 0.114297I
−1.87625 − 0.17703I −55.4270 + 21.6963I
u = −0.897956 − 0.053617I
a = −2.21174 + 4.20061I
b = −0.101095 − 0.114297I
−1.87625 + 0.17703I −55.4270 − 21.6963I
u = 0.828474 + 0.344738I
a = −0.456125 + 0.572708I
b = −0.358634 − 0.892409I
−3.80402 + 3.23551I −0.96610 − 8.61763I
u = 0.828474 − 0.344738I
a = −0.456125 − 0.572708I
b = −0.358634 + 0.892409I
−3.80402 − 3.23551I −0.96610 + 8.61763I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.314472 + 0.838098I
a = 0.46682 + 1.39394I
b = 0.450811 + 0.957785I
0.79842 − 2.52199I 5.96133 + 5.90846I
u = −0.314472 − 0.838098I
a = 0.46682 − 1.39394I
b = 0.450811 − 0.957785I
0.79842 + 2.52199I 5.96133 − 5.90846I
u = −0.868718 + 0.020527I
a = 4.04683 + 2.33980I
b = 0.862937 + 0.474957I
−0.27304 − 2.01126I −38.3340 − 34.3282I
u = −0.868718 − 0.020527I
a = 4.04683 − 2.33980I
b = 0.862937 − 0.474957I
−0.27304 + 2.01126I −38.3340 + 34.3282I
u = 0.821180 + 0.228696I
a = 0.111000 − 1.405170I
b = 0.331553 + 1.130190I
−4.07321 − 0.52213I −3.31684 + 1.87354I
u = 0.821180 − 0.228696I
a = 0.111000 + 1.405170I
b = 0.331553 − 1.130190I
−4.07321 + 0.52213I −3.31684 − 1.87354I
u = 0.822555 + 0.081721I
a = −1.24789 − 1.41033I
b = −0.80810 + 1.54567I
−2.77911 + 9.93904I 0.03063 − 4.66494I
u = 0.822555 − 0.081721I
a = −1.24789 + 1.41033I
b = −0.80810 − 1.54567I
−2.77911 − 9.93904I 0.03063 + 4.66494I
u = −0.059717 + 0.750377I
a = −0.300617 + 1.047420I
b = 0.386637 + 0.425193I
−5.67299 − 0.99584I −6.39863 + 1.73494I
u = −0.059717 − 0.750377I
a = −0.300617 − 1.047420I
b = 0.386637 − 0.425193I
−5.67299 + 0.99584I −6.39863 − 1.73494I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.182470 + 0.401264I
a = −0.087320 + 0.161360I
b = 0.363360 − 0.610977I
4.29474 − 2.21434I 0
u = −1.182470 − 0.401264I
a = −0.087320 − 0.161360I
b = 0.363360 + 0.610977I
4.29474 + 2.21434I 0
u = −1.094890 + 0.614077I
a = −0.783209 − 0.029403I
b = −0.020205 − 0.593942I
3.91463 − 2.45272I 0
u = −1.094890 − 0.614077I
a = −0.783209 + 0.029403I
b = −0.020205 + 0.593942I
3.91463 + 2.45272I 0
u = 1.261560 + 0.163785I
a = 0.314682 + 0.473708I
b = 0.44758 + 1.51681I
−0.64058 + 9.94278I 0
u = 1.261560 − 0.163785I
a = 0.314682 − 0.473708I
b = 0.44758 − 1.51681I
−0.64058 − 9.94278I 0
u = 1.236500 + 0.362651I
a = 0.716384 + 0.286944I
b = 0.61032 − 1.54017I
5.26763 + 6.34967I 0
u = 1.236500 − 0.362651I
a = 0.716384 − 0.286944I
b = 0.61032 + 1.54017I
5.26763 − 6.34967I 0
u = 0.128631 + 1.286170I
a = −0.38818 + 1.43140I
b = −0.162447 + 1.152040I
−4.60894 − 0.52662I 0
u = 0.128631 − 1.286170I
a = −0.38818 − 1.43140I
b = −0.162447 − 1.152040I
−4.60894 + 0.52662I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.661172 + 0.190771I
a = 1.46325 + 0.91819I
b = 1.011860 − 0.969314I
1.17092 + 5.09489I 1.10821 − 5.71927I
u = 0.661172 − 0.190771I
a = 1.46325 − 0.91819I
b = 1.011860 + 0.969314I
1.17092 − 5.09489I 1.10821 + 5.71927I
u = −0.201745 + 0.595977I
a = −2.20610 + 0.30774I
b = −0.834755 + 0.208573I
−1.37277 − 2.07483I −2.21169 + 3.51272I
u = −0.201745 − 0.595977I
a = −2.20610 − 0.30774I
b = −0.834755 − 0.208573I
−1.37277 + 2.07483I −2.21169 − 3.51272I
u = 1.290900 + 0.547947I
a = −1.154630 − 0.640246I
b = −1.032050 + 0.929119I
1.16345 + 11.88240I 0
u = 1.290900 − 0.547947I
a = −1.154630 + 0.640246I
b = −1.032050 − 0.929119I
1.16345 − 11.88240I 0
u = 1.404930 + 0.091810I
a = 0.099451 − 1.068090I
b = −0.03919 − 2.81119I
5.05699 + 4.55006I 0
u = 1.404930 − 0.091810I
a = 0.099451 + 1.068090I
b = −0.03919 + 2.81119I
5.05699 − 4.55006I 0
u = 1.39414 + 0.61996I
a = 1.49546 − 0.33635I
b = 1.14255 − 1.61618I
−0.31519 + 7.16203I 0
u = 1.39414 − 0.61996I
a = 1.49546 + 0.33635I
b = 1.14255 + 1.61618I
−0.31519 − 7.16203I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.52292 + 0.28756I
a = −0.643931 − 0.878933I
b = −0.43549 − 1.97855I
4.78694 − 3.25556I 0
u = −1.52292 − 0.28756I
a = −0.643931 + 0.878933I
b = −0.43549 + 1.97855I
4.78694 + 3.25556I 0
u = −1.52901 + 0.44583I
a = 0.1251030 + 0.0115899I
b = −0.039657 + 0.494452I
1.81322 + 0.89225I 0
u = −1.52901 − 0.44583I
a = 0.1251030 − 0.0115899I
b = −0.039657 − 0.494452I
1.81322 − 0.89225I 0
u = 0.02019 + 1.68703I
a = 0.489941 − 0.120028I
b = 0.372869 − 0.136705I
−7.58732 − 4.63101I 0
u = 0.02019 − 1.68703I
a = 0.489941 + 0.120028I
b = 0.372869 + 0.136705I
−7.58732 + 4.63101I 0
34
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
46
− 7u
45
+ ··· + 95u + 17)
· (u
194
− 14u
193
+ ··· − 10335075u + 452173)
c
2
(u
46
− u
45
+ ··· − 52u + 37)(u
194
− 58u
192
+ ··· + 41332u + 5351)
c
3
(u
46
− 2u
44
+ ··· − 4u + 1)
· (u
194
− 7u
193
+ ··· + 39248422u + 9682667)
c
4
(u
46
+ 3u
45
+ ··· − 6u + 1)(u
194
− 10u
192
+ ··· + 592u + 32)
c
5
(u
46
+ u
44
+ ··· + 12u + 1)
· (u
194
− 7u
193
+ ··· + 8037239426u + 414181957)
c
6
(u
46
+ u
45
+ ··· + 52u + 37)(u
194
− 58u
192
+ ··· + 41332u + 5351)
c
7
(u
46
− u
45
+ ··· − 11u + 1)(u
194
+ 73u
192
+ ··· + 2028865u + 69361)
c
8
(u
46
+ 4u
45
+ ··· − 6u + 1)
· (u
194
− 5u
193
+ ··· + 20845830u + 2067743)
c
9
(u
46
− u
45
+ ··· − 5u + 1)(u
194
+ 25u
192
+ ··· − 128757u + 4502)
c
10
(u
46
+ u
45
+ ··· − 7u + 1)(u
194
− 3u
192
+ ··· + 5.82451 × 10
7
u + 4562944)
c
11
(u
46
+ 16u
45
+ ··· − 6u + 1)(u
194
+ 7u
193
+ ··· − 1621u + 64)
c
12
(u
46
+ u
45
+ ··· + 11u + 1)(u
194
+ 73u
192
+ ··· + 2028865u + 69361)
35
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
46
+ 5y
45
+ ··· + 1005y + 289)
· (y
194
+ 30y
193
+ ··· + 24812515342591y + 204460421929)
c
2
, c
6
(y
46
− 25y
45
+ ··· − 17504y + 1369)
· (y
194
− 116y
193
+ ··· − 698910882y + 28633201)
c
3
(y
46
− 4y
45
+ ··· + 64y + 1)
· (y
194
+ 33y
193
+ ··· + 6027177013969630y + 93754040232889)
c
4
(y
46
− 9y
45
+ ··· + 32y + 1)(y
194
− 20y
193
+ ··· − 3328y + 1024)
c
5
(y
46
+ 2y
45
+ ··· + 14y + 1)
· (y
194
+ 43y
193
+ ··· + 1.01 × 10
19
y + 1.72 × 10
17
)
c
7
, c
12
(y
46
+ 45y
45
+ ··· + 459y + 1)
· (y
194
+ 146y
193
+ ··· + 47660025157y + 4810948321)
c
8
(y
46
− 24y
45
+ ··· − 16y + 1)
· (y
194
− 59y
193
+ ··· − 302813164355902y + 4275561114049)
c
9
(y
46
+ 41y
45
+ ··· + 19y + 1)
· (y
194
+ 50y
193
+ ··· − 2034708073y + 20268004)
c
10
(y
46
+ 21y
45
+ ··· − 27y + 1)
· (y
194
− 6y
193
+ ··· − 1452285242638336y + 20820457947136)
c
11
(y
46
+ 8y
45
+ ··· − 22y + 1)(y
194
+ 17y
193
+ ··· + 497991y + 4096)
36
