12a
0951
(K12a
0951
)
A knot diagram
1
Linearized knot diagam
4 6 10 8 11 3 1 12 2 7 9 5
Solving Sequence
8,12 5,9
1 4 2 7 11 6 10 3
c
8
c
12
c
4
c
1
c
7
c
11
c
5
c
10
c
3
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.27230 × 10
1426
u
193
+ 6.48474 × 10
1427
u
192
+ ··· + 2.85303 × 10
1429
b + 7.63301 × 10
1432
,
− 6.63186 × 10
1432
u
193
+ 2.10738 × 10
1433
u
192
+ ··· + 4.49783 × 10
1434
a − 1.59873 × 10
1438
,
u
194
− 5u
193
+ ··· − 1119128u + 157651i
I
u
2
= h−1.54069 × 10
49
u
46
+ 1.60376 × 10
50
u
45
+ ··· + 5.91894 × 10
49
b − 1.65232 × 10
50
,
− 6.13499 × 10
50
u
46
+ 7.39476 × 10
51
u
45
+ ··· + 5.91894 × 10
49
a − 1.44700 × 10
52
,
u
47
− 12u
46
+ ··· + 58u − 1i
* 2 irreducible components of dim
C
= 0, with total 241 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−3.27 × 10
1426
u
193
+ 6.48 × 10
1427
u
192
+ · · · + 2.85 × 10
1429
b +
7.63 × 10
1432
, −6.63 × 10
1432
u
193
+ 2.11 × 10
1433
u
192
+ · · · + 4.50 ×
10
1434
a − 1.60 × 10
1438
, u
194
− 5u
193
+ · · · − 1119128u + 157651i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
5
=
0.0147446u
193
− 0.0468534u
192
+ ··· − 24069.2u + 3554.44
0.00114696u
193
− 0.0227293u
192
+ ··· + 19755.5u − 2675.41
a
9
=
1
u
2
a
1
=
0.00833197u
193
− 0.0782035u
192
+ ··· + 36715.7u − 4821.25
0.0146802u
193
− 0.0906046u
192
+ ··· + 13746.0u − 1660.10
a
4
=
0.0135976u
193
− 0.0241240u
192
+ ··· − 43824.8u + 6229.85
0.00114696u
193
− 0.0227293u
192
+ ··· + 19755.5u − 2675.41
a
2
=
0.0308401u
193
− 0.276956u
192
+ ··· + 121339.u − 16125.2
−0.00477786u
193
+ 0.124624u
192
+ ··· − 99644.9u + 13722.4
a
7
=
0.0172265u
193
− 0.0100294u
192
+ ··· − 83320.6u + 11703.9
−0.0220203u
193
+ 0.0900415u
192
+ ··· + 26764.2u − 4108.74
a
11
=
u
u
3
+ u
a
6
=
0.00495432u
193
+ 0.0150898u
192
+ ··· − 40759.3u + 5655.43
−0.000435455u
193
− 0.0130372u
192
+ ··· + 19148.5u − 2622.59
a
10
=
0.174327u
193
− 0.948024u
192
+ ··· + 74897.4u − 7006.96
−0.0195033u
193
+ 0.214641u
192
+ ··· − 118724.u + 16042.2
a
3
=
0.0328154u
193
− 0.211872u
192
+ ··· + 51155.0u − 6320.11
−0.00238623u
193
+ 0.00592457u
192
+ ··· + 1963.76u − 309.126
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.144687u
193
+ 0.778133u
192
+ ··· − 43152.8u + 3187.26
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
194
− 15u
193
+ ··· + 4276480u − 140732
c
2
, c
6
u
194
− 2u
193
+ ··· − 115u + 763
c
3
u
194
− 3u
193
+ ··· + 10121514u − 2950781
c
4
u
194
− 5u
193
+ ··· − 1229250u − 450361
c
5
u
194
− 3u
193
+ ··· + 1930268u − 110863
c
7
u
194
+ 3u
193
+ ··· + 39u + 1
c
8
, c
11
u
194
+ 5u
193
+ ··· + 1119128u + 157651
c
9
u
194
− 2u
193
+ ··· + 29446983u − 7136263
c
10
u
194
− 6u
193
+ ··· − 4089433u + 368299
c
12
u
194
− 3u
193
+ ··· − 1779u − 187
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
194
+ 57y
193
+ ··· + 9871873955280y + 19805495824
c
2
, c
6
y
194
− 122y
193
+ ··· − 27508693y + 582169
c
3
y
194
+ 43y
193
+ ··· − 281074639663414y + 8707108509961
c
4
y
194
− 49y
193
+ ··· − 4233488708222y + 202825030321
c
5
y
194
+ 9y
193
+ ··· − 1148717911644y + 12290604769
c
7
y
194
+ 11y
193
+ ··· − 137y + 1
c
8
, c
11
y
194
+ 145y
193
+ ··· − 983610590218y + 24853837801
c
9
y
194
+ 70y
193
+ ··· + 2458572666392573y + 50926249605169
c
10
y
194
− 20y
193
+ ··· − 11280170985833y + 135644153401
c
12
y
194
− 31y
193
+ ··· − 837813y + 34969
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.384187 + 0.923055I
a = 0.53775 − 1.59785I
b = −0.805099 − 0.707456I
0.882578 − 0.354022I 0
u = −0.384187 − 0.923055I
a = 0.53775 + 1.59785I
b = −0.805099 + 0.707456I
0.882578 + 0.354022I 0
u = 0.547871 + 0.829575I
a = −0.354733 + 0.297690I
b = 2.06672 + 1.19986I
1.28330 − 2.18942I 0
u = 0.547871 − 0.829575I
a = −0.354733 − 0.297690I
b = 2.06672 − 1.19986I
1.28330 + 2.18942I 0
u = −0.209765 + 0.961427I
a = 0.65792 − 1.31308I
b = −1.29266 − 0.70184I
5.17068 + 4.36065I 0
u = −0.209765 − 0.961427I
a = 0.65792 + 1.31308I
b = −1.29266 + 0.70184I
5.17068 − 4.36065I 0
u = −0.067146 + 0.979563I
a = −1.207000 + 0.288332I
b = 1.65912 + 0.33912I
−1.39515 + 2.23030I 0
u = −0.067146 − 0.979563I
a = −1.207000 − 0.288332I
b = 1.65912 − 0.33912I
−1.39515 − 2.23030I 0
u = 0.929594 + 0.230082I
a = −0.075912 − 0.942965I
b = 0.446309 − 0.753113I
−1.90842 − 1.54765I 0
u = 0.929594 − 0.230082I
a = −0.075912 + 0.942965I
b = 0.446309 + 0.753113I
−1.90842 + 1.54765I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.317208 + 0.993886I
a = 0.248922 − 0.356553I
b = 0.37881 − 1.87980I
0.40586 + 6.78834I 0
u = −0.317208 − 0.993886I
a = 0.248922 + 0.356553I
b = 0.37881 + 1.87980I
0.40586 − 6.78834I 0
u = −0.133115 + 1.035690I
a = 1.42681 − 0.39663I
b = −1.54051 − 0.24913I
2.39749 + 7.47414I 0
u = −0.133115 − 1.035690I
a = 1.42681 + 0.39663I
b = −1.54051 + 0.24913I
2.39749 − 7.47414I 0
u = 0.909210 + 0.258622I
a = −0.366460 − 0.752034I
b = −0.068197 − 0.805149I
−1.87235 − 1.23811I 0
u = 0.909210 − 0.258622I
a = −0.366460 + 0.752034I
b = −0.068197 + 0.805149I
−1.87235 + 1.23811I 0
u = 0.322789 + 1.004590I
a = 0.115468 + 0.516083I
b = 0.381496 + 0.979514I
0.47698 − 2.62744I 0
u = 0.322789 − 1.004590I
a = 0.115468 − 0.516083I
b = 0.381496 − 0.979514I
0.47698 + 2.62744I 0
u = −0.970856 + 0.442065I
a = 0.678964 + 0.191918I
b = 0.740155 − 0.339848I
5.49512 − 3.29198I 0
u = −0.970856 − 0.442065I
a = 0.678964 − 0.191918I
b = 0.740155 + 0.339848I
5.49512 + 3.29198I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.100011 + 1.073050I
a = −0.43422 + 1.88249I
b = 0.909644 + 0.229531I
9.38363 + 0.54889I 0
u = −0.100011 − 1.073050I
a = −0.43422 − 1.88249I
b = 0.909644 − 0.229531I
9.38363 − 0.54889I 0
u = 0.183561 + 1.062180I
a = 0.808569 − 0.277045I
b = −1.74530 − 0.46331I
3.45076 − 1.76457I 0
u = 0.183561 − 1.062180I
a = 0.808569 + 0.277045I
b = −1.74530 + 0.46331I
3.45076 + 1.76457I 0
u = 0.727729 + 0.558414I
a = −0.411433 − 0.800613I
b = 0.840718 − 0.714335I
−1.56282 − 1.54817I 0
u = 0.727729 − 0.558414I
a = −0.411433 + 0.800613I
b = 0.840718 + 0.714335I
−1.56282 + 1.54817I 0
u = −0.021838 + 1.083020I
a = −0.87788 + 1.16124I
b = 1.32343 + 0.68730I
6.20464 + 3.83618I 0
u = −0.021838 − 1.083020I
a = −0.87788 − 1.16124I
b = 1.32343 − 0.68730I
6.20464 − 3.83618I 0
u = 0.588558 + 0.909939I
a = −0.067213 + 0.364998I
b = −0.01545 + 1.58534I
1.00993 − 2.04639I 0
u = 0.588558 − 0.909939I
a = −0.067213 − 0.364998I
b = −0.01545 − 1.58534I
1.00993 + 2.04639I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.093755 + 1.088810I
a = 0.94274 − 1.31144I
b = −0.741405 − 0.260404I
3.22267 − 0.45617I 0
u = 0.093755 − 1.088810I
a = 0.94274 + 1.31144I
b = −0.741405 + 0.260404I
3.22267 + 0.45617I 0
u = −0.106457 + 1.097550I
a = −0.149029 + 0.249252I
b = −0.50404 + 1.96691I
5.84091 + 0.86513I 0
u = −0.106457 − 1.097550I
a = −0.149029 − 0.249252I
b = −0.50404 − 1.96691I
5.84091 − 0.86513I 0
u = −0.024652 + 1.103430I
a = −0.235632 − 0.868158I
b = 1.10516 − 1.63869I
6.52151 + 0.51104I 0
u = −0.024652 − 1.103430I
a = −0.235632 + 0.868158I
b = 1.10516 + 1.63869I
6.52151 − 0.51104I 0
u = −0.806229 + 0.390588I
a = −0.715276 − 0.623908I
b = −0.832062 − 0.493893I
1.65776 − 0.16374I 0
u = −0.806229 − 0.390588I
a = −0.715276 + 0.623908I
b = −0.832062 + 0.493893I
1.65776 + 0.16374I 0
u = 0.428627 + 0.784720I
a = −0.22687 + 1.60637I
b = −0.789215 + 0.751485I
0.53364 − 5.06652I 0
u = 0.428627 − 0.784720I
a = −0.22687 − 1.60637I
b = −0.789215 − 0.751485I
0.53364 + 5.06652I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.697781 + 0.548563I
a = −1.136800 + 0.567887I
b = −0.598221 + 0.555474I
−0.31010 + 4.61607I 0
u = −0.697781 − 0.548563I
a = −1.136800 − 0.567887I
b = −0.598221 − 0.555474I
−0.31010 − 4.61607I 0
u = −0.113001 + 1.110790I
a = 1.46316 + 1.42866I
b = −0.591997 − 0.029070I
2.88948 + 5.70871I 0
u = −0.113001 − 1.110790I
a = 1.46316 − 1.42866I
b = −0.591997 + 0.029070I
2.88948 − 5.70871I 0
u = 0.184699 + 1.106530I
a = 0.478732 + 0.748414I
b = −1.74322 + 1.17361I
3.96498 − 6.97076I 0
u = 0.184699 − 1.106530I
a = 0.478732 − 0.748414I
b = −1.74322 − 1.17361I
3.96498 + 6.97076I 0
u = 1.128180 + 0.151128I
a = 0.607242 + 0.594696I
b = 0.783317 + 0.563490I
−1.30042 + 3.17379I 0
u = 1.128180 − 0.151128I
a = 0.607242 − 0.594696I
b = 0.783317 − 0.563490I
−1.30042 − 3.17379I 0
u = −0.268237 + 0.805354I
a = 0.327458 + 1.047400I
b = 0.873437 − 0.213738I
5.12044 − 3.25393I 0
u = −0.268237 − 0.805354I
a = 0.327458 − 1.047400I
b = 0.873437 + 0.213738I
5.12044 + 3.25393I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.410483 + 1.081760I
a = −0.186288 + 0.393603I
b = −0.45581 + 1.88365I
4.42633 + 12.80160I 0
u = −0.410483 − 1.081760I
a = −0.186288 − 0.393603I
b = −0.45581 − 1.88365I
4.42633 − 12.80160I 0
u = 0.106512 + 1.153680I
a = −0.61325 − 1.89560I
b = 0.602464 − 0.150181I
8.66222 − 0.88413I 0
u = 0.106512 − 1.153680I
a = −0.61325 + 1.89560I
b = 0.602464 + 0.150181I
8.66222 + 0.88413I 0
u = 0.272154 + 1.132360I
a = 0.08019 − 1.70009I
b = 0.705381 − 0.131388I
8.57265 − 0.97336I 0
u = 0.272154 − 1.132360I
a = 0.08019 + 1.70009I
b = 0.705381 + 0.131388I
8.57265 + 0.97336I 0
u = −1.165750 + 0.016804I
a = 0.612918 + 0.717723I
b = 0.909049 + 0.816394I
−1.26176 + 9.55015I 0
u = −1.165750 − 0.016804I
a = 0.612918 − 0.717723I
b = 0.909049 − 0.816394I
−1.26176 − 9.55015I 0
u = −0.187968 + 1.153950I
a = 1.41627 + 0.02807I
b = −0.858920 − 0.338392I
6.19578 + 3.16235I 0
u = −0.187968 − 1.153950I
a = 1.41627 − 0.02807I
b = −0.858920 + 0.338392I
6.19578 − 3.16235I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.046994 + 1.174320I
a = 0.356754 − 1.000260I
b = −0.901498 − 0.025037I
6.84747 − 3.47433I 0
u = 0.046994 − 1.174320I
a = 0.356754 + 1.000260I
b = −0.901498 + 0.025037I
6.84747 + 3.47433I 0
u = −0.360883 + 1.119560I
a = −0.58212 + 1.33785I
b = 0.944194 + 0.894544I
−1.74834 + 5.54437I 0
u = −0.360883 − 1.119560I
a = −0.58212 − 1.33785I
b = 0.944194 − 0.894544I
−1.74834 − 5.54437I 0
u = 1.175870 + 0.039345I
a = −0.301766 + 0.532082I
b = −0.837138 + 0.991374I
−0.63520 − 2.80694I 0
u = 1.175870 − 0.039345I
a = −0.301766 − 0.532082I
b = −0.837138 − 0.991374I
−0.63520 + 2.80694I 0
u = −0.710347 + 0.406679I
a = 0.824024 − 0.834864I
b = −1.07466 − 0.93656I
2.38127 − 8.54256I 0
u = −0.710347 − 0.406679I
a = 0.824024 + 0.834864I
b = −1.07466 + 0.93656I
2.38127 + 8.54256I 0
u = −0.190968 + 1.172120I
a = −1.33436 − 1.24094I
b = 0.654821 + 0.028846I
7.14634 + 11.85640I 0
u = −0.190968 − 1.172120I
a = −1.33436 + 1.24094I
b = 0.654821 − 0.028846I
7.14634 − 11.85640I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.665458 + 0.984766I
a = 0.228943 + 0.394990I
b = −0.088578 + 0.984599I
−0.11278 − 4.00020I 0
u = 0.665458 − 0.984766I
a = 0.228943 − 0.394990I
b = −0.088578 − 0.984599I
−0.11278 + 4.00020I 0
u = −0.026484 + 1.199200I
a = 0.037826 + 0.244754I
b = −1.73820 + 0.38167I
5.71665 + 5.06428I 0
u = −0.026484 − 1.199200I
a = 0.037826 − 0.244754I
b = −1.73820 − 0.38167I
5.71665 − 5.06428I 0
u = −0.302106 + 1.168640I
a = −0.583894 + 1.223100I
b = 0.851712 + 1.128200I
−1.43312 + 5.51895I 0
u = −0.302106 − 1.168640I
a = −0.583894 − 1.223100I
b = 0.851712 − 1.128200I
−1.43312 − 5.51895I 0
u = 0.418811 + 1.143070I
a = 0.231939 + 0.871884I
b = −0.593553 + 0.995363I
0.76686 − 3.40450I 0
u = 0.418811 − 1.143070I
a = 0.231939 − 0.871884I
b = −0.593553 − 0.995363I
0.76686 + 3.40450I 0
u = −0.768396 + 0.123348I
a = −0.88816 − 1.14852I
b = −0.983151 − 0.737691I
4.04348 + 5.09661I 0
u = −0.768396 − 0.123348I
a = −0.88816 + 1.14852I
b = −0.983151 + 0.737691I
4.04348 − 5.09661I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.211190 + 0.219967I
a = 0.207834 − 0.710594I
b = 0.998430 − 0.907812I
−0.80913 − 4.70060I 0
u = 1.211190 − 0.219967I
a = 0.207834 + 0.710594I
b = 0.998430 + 0.907812I
−0.80913 + 4.70060I 0
u = −0.016601 + 1.237330I
a = 0.372544 − 1.192730I
b = −0.295113 − 1.151430I
5.98313 − 0.93238I 0
u = −0.016601 − 1.237330I
a = 0.372544 + 1.192730I
b = −0.295113 + 1.151430I
5.98313 + 0.93238I 0
u = −0.760502 + 0.009749I
a = −0.98454 + 1.42877I
b = −0.489014 + 0.715572I
−0.97472 − 8.07711I 0
u = −0.760502 − 0.009749I
a = −0.98454 − 1.42877I
b = −0.489014 − 0.715572I
−0.97472 + 8.07711I 0
u = −0.625148 + 0.422116I
a = 1.36027 − 0.57232I
b = 0.700287 − 0.717317I
−3.98732 − 1.76256I 0
u = −0.625148 − 0.422116I
a = 1.36027 + 0.57232I
b = 0.700287 + 0.717317I
−3.98732 + 1.76256I 0
u = 0.480325 + 1.153660I
a = 0.021123 − 0.311255I
b = 0.04944 − 1.63014I
2.18953 − 3.09823I 0
u = 0.480325 − 1.153660I
a = 0.021123 + 0.311255I
b = 0.04944 + 1.63014I
2.18953 + 3.09823I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.072535 + 1.251720I
a = −1.286300 − 0.585761I
b = 0.714844 − 0.016193I
4.31899 − 2.92255I 0
u = 0.072535 − 1.251720I
a = −1.286300 + 0.585761I
b = 0.714844 + 0.016193I
4.31899 + 2.92255I 0
u = −0.082900 + 0.727312I
a = 0.254407 − 0.031281I
b = 0.871211 − 0.957883I
−1.89677 − 1.12936I 0
u = −0.082900 − 0.727312I
a = 0.254407 + 0.031281I
b = 0.871211 + 0.957883I
−1.89677 + 1.12936I 0
u = 0.840035 + 0.953340I
a = 0.291724 + 0.641259I
b = −0.875398 + 1.052420I
−0.37450 − 4.51549I 0
u = 0.840035 − 0.953340I
a = 0.291724 − 0.641259I
b = −0.875398 − 1.052420I
−0.37450 + 4.51549I 0
u = 0.547766 + 0.463046I
a = −0.625553 − 0.307190I
b = 0.204842 − 0.802732I
−1.50224 − 1.03964I 0
u = 0.547766 − 0.463046I
a = −0.625553 + 0.307190I
b = 0.204842 + 0.802732I
−1.50224 + 1.03964I 0
u = 0.702208 + 0.130283I
a = 0.24643 + 2.03053I
b = −0.006197 + 0.173515I
0.202571 − 0.521125I 0
u = 0.702208 − 0.130283I
a = 0.24643 − 2.03053I
b = −0.006197 − 0.173515I
0.202571 + 0.521125I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.359776 + 0.610937I
a = −0.720232 + 0.391435I
b = −0.986519 + 0.632007I
1.41377 − 5.58523I 0
u = −0.359776 − 0.610937I
a = −0.720232 − 0.391435I
b = −0.986519 − 0.632007I
1.41377 + 5.58523I 0
u = 0.251853 + 1.271210I
a = −1.38115 + 1.26388I
b = 0.494968 + 0.291638I
4.22314 − 3.17287I 0
u = 0.251853 − 1.271210I
a = −1.38115 − 1.26388I
b = 0.494968 − 0.291638I
4.22314 + 3.17287I 0
u = −1.297970 + 0.139898I
a = −0.468962 − 0.727736I
b = −0.913762 − 0.866259I
2.1456 + 15.1856I 0
u = −1.297970 − 0.139898I
a = −0.468962 + 0.727736I
b = −0.913762 + 0.866259I
2.1456 − 15.1856I 0
u = −1.233470 + 0.427832I
a = 0.454725 + 0.407824I
b = 0.735861 + 0.578421I
4.61090 − 5.19346I 0
u = −1.233470 − 0.427832I
a = 0.454725 − 0.407824I
b = 0.735861 − 0.578421I
4.61090 + 5.19346I 0
u = −0.414096 + 1.248100I
a = 0.138946 + 0.993040I
b = 0.932244 + 0.213064I
10.21770 + 0.70258I 0
u = −0.414096 − 1.248100I
a = 0.138946 − 0.993040I
b = 0.932244 − 0.213064I
10.21770 − 0.70258I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.249490 + 0.412649I
a = −0.296226 + 0.739253I
b = −0.761421 + 0.908298I
−1.24339 − 5.80177I 0
u = 1.249490 − 0.412649I
a = −0.296226 − 0.739253I
b = −0.761421 − 0.908298I
−1.24339 + 5.80177I 0
u = −0.419821 + 1.259760I
a = 0.352868 − 0.923914I
b = −1.35476 − 0.81270I
6.07589 + 3.79535I 0
u = −0.419821 − 1.259760I
a = 0.352868 + 0.923914I
b = −1.35476 + 0.81270I
6.07589 − 3.79535I 0
u = −0.503298 + 0.443010I
a = −1.091320 + 0.888213I
b = 1.012330 + 0.825407I
−1.12823 − 3.35588I 0
u = −0.503298 − 0.443010I
a = −1.091320 − 0.888213I
b = 1.012330 − 0.825407I
−1.12823 + 3.35588I 0
u = 0.111752 + 1.335660I
a = −0.325930 − 0.429744I
b = −0.158050 − 0.467323I
3.71292 − 5.38315I 0
u = 0.111752 − 1.335660I
a = −0.325930 + 0.429744I
b = −0.158050 + 0.467323I
3.71292 + 5.38315I 0
u = 0.310430 + 1.304300I
a = −0.107477 − 0.196035I
b = 1.112300 + 0.219170I
3.74861 − 1.88856I 0
u = 0.310430 − 1.304300I
a = −0.107477 + 0.196035I
b = 1.112300 − 0.219170I
3.74861 + 1.88856I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.249403 + 1.318280I
a = −1.136310 − 0.515109I
b = 0.559022 − 0.095457I
3.93321 − 2.95145I 0
u = 0.249403 − 1.318280I
a = −1.136310 + 0.515109I
b = 0.559022 + 0.095457I
3.93321 + 2.95145I 0
u = −0.371051 + 1.295890I
a = 0.488274 − 1.219960I
b = −0.733428 − 0.994335I
3.06321 + 12.23260I 0
u = −0.371051 − 1.295890I
a = 0.488274 + 1.219960I
b = −0.733428 + 0.994335I
3.06321 − 12.23260I 0
u = 0.687106 + 1.169020I
a = −0.174144 − 1.148920I
b = 1.019620 − 0.829064I
1.90151 − 9.52570I 0
u = 0.687106 − 1.169020I
a = −0.174144 + 1.148920I
b = 1.019620 + 0.829064I
1.90151 + 9.52570I 0
u = 1.359520 + 0.110079I
a = 0.347257 − 0.613452I
b = 0.706107 − 0.789411I
−1.78690 − 3.08668I 0
u = 1.359520 − 0.110079I
a = 0.347257 + 0.613452I
b = 0.706107 + 0.789411I
−1.78690 + 3.08668I 0
u = 0.627714
a = −3.33918
b = 0.386685
0.241205 179.430
u = 1.133610 + 0.776372I
a = −0.626737 + 0.007368I
b = −0.597815 − 0.288051I
0.218432 − 0.873581I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.133610 − 0.776372I
a = −0.626737 − 0.007368I
b = −0.597815 + 0.288051I
0.218432 + 0.873581I 0
u = −0.584550 + 0.199271I
a = 1.54460 − 1.20970I
b = 0.482623 − 0.743886I
−4.36629 − 2.10998I 0
u = −0.584550 − 0.199271I
a = 1.54460 + 1.20970I
b = 0.482623 + 0.743886I
−4.36629 + 2.10998I 0
u = −0.414360 + 1.328310I
a = 0.504079 − 1.110790I
b = −1.29593 − 0.90694I
8.48134 + 9.52303I 0
u = −0.414360 − 1.328310I
a = 0.504079 + 1.110790I
b = −1.29593 + 0.90694I
8.48134 − 9.52303I 0
u = 0.164196 + 1.387100I
a = −0.441610 − 0.827845I
b = 1.39023 − 1.12596I
9.9531 − 10.5511I 0
u = 0.164196 − 1.387100I
a = −0.441610 + 0.827845I
b = 1.39023 + 1.12596I
9.9531 + 10.5511I 0
u = 0.51246 + 1.31861I
a = 0.478273 + 0.862190I
b = −1.44947 + 0.88962I
3.45364 − 8.58657I 0
u = 0.51246 − 1.31861I
a = 0.478273 − 0.862190I
b = −1.44947 − 0.88962I
3.45364 + 8.58657I 0
u = 0.566834 + 0.136008I
a = −0.62442 + 1.87551I
b = −1.181130 + 0.422491I
2.32349 − 6.18138I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.566834 − 0.136008I
a = −0.62442 − 1.87551I
b = −1.181130 − 0.422491I
2.32349 + 6.18138I 0
u = 0.37971 + 1.37220I
a = 0.724553 + 1.125490I
b = −1.275300 + 0.597078I
7.13476 − 10.02640I 0
u = 0.37971 − 1.37220I
a = 0.724553 − 1.125490I
b = −1.275300 − 0.597078I
7.13476 + 10.02640I 0
u = −0.59887 + 1.31408I
a = −0.173663 + 0.859349I
b = 1.29488 + 0.85398I
8.67735 + 9.45526I 0
u = −0.59887 − 1.31408I
a = −0.173663 − 0.859349I
b = 1.29488 − 0.85398I
8.67735 − 9.45526I 0
u = 0.19008 + 1.44245I
a = −0.678634 − 0.066541I
b = 0.635592 − 0.058737I
3.88138 − 2.92101I 0
u = 0.19008 − 1.44245I
a = −0.678634 + 0.066541I
b = 0.635592 + 0.058737I
3.88138 + 2.92101I 0
u = −0.64171 + 1.30837I
a = −0.198924 − 0.789627I
b = −0.927556 − 0.150753I
4.40115 + 6.19644I 0
u = −0.64171 − 1.30837I
a = −0.198924 + 0.789627I
b = −0.927556 + 0.150753I
4.40115 − 6.19644I 0
u = −0.00861 + 1.47835I
a = 0.991189 + 0.407202I
b = −1.011110 + 0.122065I
9.11612 − 6.32148I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.00861 − 1.47835I
a = 0.991189 − 0.407202I
b = −1.011110 − 0.122065I
9.11612 + 6.32148I 0
u = −0.54356 + 1.37585I
a = −0.406851 + 1.055130I
b = 1.31426 + 0.92789I
3.1155 + 15.5084I 0
u = −0.54356 − 1.37585I
a = −0.406851 − 1.055130I
b = 1.31426 − 0.92789I
3.1155 − 15.5084I 0
u = −0.34449 + 1.43929I
a = −0.380697 + 0.745454I
b = 1.42789 + 0.86979I
10.77380 − 0.16755I 0
u = −0.34449 − 1.43929I
a = −0.380697 − 0.745454I
b = 1.42789 − 0.86979I
10.77380 + 0.16755I 0
u = 0.45816 + 1.41584I
a = −0.522926 − 0.736634I
b = 0.843719 − 0.757826I
3.22490 − 6.64831I 0
u = 0.45816 − 1.41584I
a = −0.522926 + 0.736634I
b = 0.843719 + 0.757826I
3.22490 + 6.64831I 0
u = 0.56687 + 1.38990I
a = −0.403015 − 1.001990I
b = 1.21828 − 0.84611I
2.73503 − 9.54398I 0
u = 0.56687 − 1.38990I
a = −0.403015 + 1.001990I
b = 1.21828 + 0.84611I
2.73503 + 9.54398I 0
u = 0.38030 + 1.46882I
a = 0.597434 + 0.777751I
b = −0.601519 + 0.163654I
5.49880 − 4.45808I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.38030 − 1.46882I
a = 0.597434 − 0.777751I
b = −0.601519 − 0.163654I
5.49880 + 4.45808I 0
u = −0.061705 + 0.459771I
a = −0.20987 − 1.60716I
b = −0.931820 − 0.438788I
1.370730 + 0.083105I 7.54495 + 1.39802I
u = −0.061705 − 0.459771I
a = −0.20987 + 1.60716I
b = −0.931820 + 0.438788I
1.370730 − 0.083105I 7.54495 − 1.39802I
u = 0.55974 + 1.44323I
a = −0.551520 − 0.863441I
b = 1.43343 − 0.77859I
4.29975 − 10.91780I 0
u = 0.55974 − 1.44323I
a = −0.551520 + 0.863441I
b = 1.43343 + 0.77859I
4.29975 + 10.91780I 0
u = −0.56303 + 1.44929I
a = 0.408568 − 1.003600I
b = −1.32486 − 0.93339I
7.1044 + 21.6046I 0
u = −0.56303 − 1.44929I
a = 0.408568 + 1.003600I
b = −1.32486 + 0.93339I
7.1044 − 21.6046I 0
u = 0.12476 + 1.55055I
a = 0.163822 + 0.296060I
b = −1.013190 + 0.320505I
9.27004 − 5.07834I 0
u = 0.12476 − 1.55055I
a = 0.163822 − 0.296060I
b = −1.013190 − 0.320505I
9.27004 + 5.07834I 0
u = −0.66202 + 1.42996I
a = 0.120331 + 0.736880I
b = 0.884629 + 0.165263I
8.1688 + 12.4503I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.66202 − 1.42996I
a = 0.120331 − 0.736880I
b = 0.884629 − 0.165263I
8.1688 − 12.4503I 0
u = −1.02692 + 1.21373I
a = −0.324542 − 0.223718I
b = −0.693712 + 0.343245I
5.66531 + 0.43434I 0
u = −1.02692 − 1.21373I
a = −0.324542 + 0.223718I
b = −0.693712 − 0.343245I
5.66531 − 0.43434I 0
u = 0.54763 + 1.50190I
a = 0.017872 + 0.562589I
b = −0.523493 + 0.094720I
2.16214 − 2.12605I 0
u = 0.54763 − 1.50190I
a = 0.017872 − 0.562589I
b = −0.523493 − 0.094720I
2.16214 + 2.12605I 0
u = −0.391687 + 0.008956I
a = 0.39933 + 1.87492I
b = −0.678322 + 0.978301I
3.00334 − 0.88111I 2.85632 − 1.24669I
u = −0.391687 − 0.008956I
a = 0.39933 − 1.87492I
b = −0.678322 − 0.978301I
3.00334 + 0.88111I 2.85632 + 1.24669I
u = 0.53501 + 1.53323I
a = 0.377779 + 0.883765I
b = −1.25701 + 0.97456I
4.74847 − 12.12830I 0
u = 0.53501 − 1.53323I
a = 0.377779 − 0.883765I
b = −1.25701 − 0.97456I
4.74847 + 12.12830I 0
u = 0.177351 + 0.329925I
a = 2.53497 − 2.36908I
b = −0.538341 − 0.412115I
1.50904 − 0.78038I 3.07171 − 6.19401I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.177351 − 0.329925I
a = 2.53497 + 2.36908I
b = −0.538341 + 0.412115I
1.50904 + 0.78038I 3.07171 + 6.19401I
u = −0.216112 + 0.265127I
a = −2.00587 − 3.09987I
b = 0.783803 − 0.771644I
4.35306 − 9.97581I 5.77800 + 7.59464I
u = −0.216112 − 0.265127I
a = −2.00587 + 3.09987I
b = 0.783803 + 0.771644I
4.35306 + 9.97581I 5.77800 − 7.59464I
u = −0.20344 + 1.67456I
a = −0.147211 + 0.246053I
b = 0.635497 − 0.079837I
4.02948 − 3.02154I 0
u = −0.20344 − 1.67456I
a = −0.147211 − 0.246053I
b = 0.635497 + 0.079837I
4.02948 + 3.02154I 0
u = 0.38688 + 1.65180I
a = −0.180363 − 0.399760I
b = 0.474235 − 0.289735I
3.90945 − 5.67294I 0
u = 0.38688 − 1.65180I
a = −0.180363 + 0.399760I
b = 0.474235 + 0.289735I
3.90945 + 5.67294I 0
u = 0.163849 + 0.246118I
a = −1.90561 + 3.02548I
b = −0.723585 + 0.817225I
0.61034 − 4.87780I 1.48179 + 5.13755I
u = 0.163849 − 0.246118I
a = −1.90561 − 3.02548I
b = −0.723585 − 0.817225I
0.61034 + 4.87780I 1.48179 − 5.13755I
u = −0.039210 + 0.276472I
a = −2.14051 − 2.78508I
b = 0.544857 + 0.722370I
4.46809 − 0.07190I 6.31548 − 4.82870I
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.039210 − 0.276472I
a = −2.14051 + 2.78508I
b = 0.544857 − 0.722370I
4.46809 + 0.07190I 6.31548 + 4.82870I
u = 0.0953267
a = 6.70220
b = −0.927998
1.18727 10.4460
u = −0.78417 + 2.21763I
a = −0.0308177 − 0.1123120I
b = −0.484002 + 0.162739I
6.66775 − 6.66796I 0
u = −0.78417 − 2.21763I
a = −0.0308177 + 0.1123120I
b = −0.484002 − 0.162739I
6.66775 + 6.66796I 0
24
II. I
u
2
= h−1.54 × 10
49
u
46
+ 1.60 × 10
50
u
45
+ · · · + 5.92 × 10
49
b − 1.65 ×
10
50
, −6.13 × 10
50
u
46
+ 7.39 × 10
51
u
45
+ · · · + 5.92 × 10
49
a − 1.45 ×
10
52
, u
47
− 12u
46
+ · · · + 58u − 1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
5
=
10.3650u
46
− 124.934u
45
+ ··· − 8469.72u + 244.470
0.260298u
46
− 2.70954u
45
+ ··· − 42.2900u + 2.79158
a
9
=
1
u
2
a
1
=
6.96405u
46
− 83.3669u
45
+ ··· − 4619.86u + 101.754
0.837377u
46
− 9.57867u
45
+ ··· − 410.126u + 11.8220
a
4
=
10.1047u
46
− 122.224u
45
+ ··· − 8427.43u + 241.678
0.260298u
46
− 2.70954u
45
+ ··· − 42.2900u + 2.79158
a
2
=
2.43023u
46
− 29.2507u
45
+ ··· − 452.101u − 28.8720
0.199823u
46
− 1.55931u
45
+ ··· − 489.511u + 13.5169
a
7
=
−14.4700u
46
+ 175.815u
45
+ ··· + 10547.5u − 320.107
0.750557u
46
− 9.31605u
45
+ ··· − 167.898u + 2.63005
a
11
=
u
u
3
+ u
a
6
=
9.94727u
46
− 120.193u
45
+ ··· − 8475.99u + 244.414
0.327701u
46
− 3.54718u
45
+ ··· − 33.1913u + 2.46332
a
10
=
−24.0060u
46
+ 286.388u
45
+ ··· + 19622.2u − 535.853
−1.39343u
46
+ 18.2444u
45
+ ··· + 598.322u − 18.3564
a
3
=
−11.4878u
46
+ 136.476u
45
+ ··· + 10959.6u − 345.678
0.804090u
46
− 8.43849u
45
+ ··· − 223.996u + 4.82130
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4.84723u
46
+ 56.9310u
45
+ ··· + 2542.88u − 71.0342
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
47
− 4u
46
+ ··· − 18u − 4
c
2
u
47
+ u
46
+ ··· − 3u + 1
c
3
u
47
− 50u
43
+ ··· − 4u + 1
c
4
u
47
− 2u
46
+ ··· + 10u + 1
c
5
u
47
+ u
45
+ ··· − 140u + 31
c
6
u
47
− u
46
+ ··· − 3u − 1
c
7
u
47
− 4u
46
+ ··· + 25u + 1
c
8
u
47
− 12u
46
+ ··· + 58u − 1
c
9
u
47
− u
46
+ ··· + u − 1
c
10
u
47
− 3u
46
+ ··· − 3u + 1
c
11
u
47
+ 12u
46
+ ··· + 58u + 1
c
12
u
47
− 2u
46
+ ··· − 9u − 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
47
+ 2y
46
+ ··· + 92y −16
c
2
, c
6
y
47
− 29y
46
+ ··· + 19y −1
c
3
y
47
− 100y
45
+ ··· − 48y −1
c
4
y
47
− 12y
46
+ ··· + 48y −1
c
5
y
47
+ 2y
46
+ ··· − 7990y −961
c
7
y
47
+ 8y
46
+ ··· + 127y −1
c
8
, c
11
y
47
+ 42y
46
+ ··· + 1024y −1
c
9
y
47
+ 47y
46
+ ··· − 39y −1
c
10
y
47
+ 17y
46
+ ··· + 27y −1
c
12
y
47
− 18y
46
+ ··· + 3y −1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.534049 + 0.833234I
a = 0.320627 − 0.365512I
b = −1.67928 − 1.41256I
1.26350 − 2.16340I 0
u = 0.534049 − 0.833234I
a = 0.320627 + 0.365512I
b = −1.67928 + 1.41256I
1.26350 + 2.16340I 0
u = −0.258667 + 0.983308I
a = 0.435924 + 1.270710I
b = 0.394765 + 0.943600I
1.53014 + 5.85561I 0
u = −0.258667 − 0.983308I
a = 0.435924 − 1.270710I
b = 0.394765 − 0.943600I
1.53014 − 5.85561I 0
u = −0.118334 + 1.011640I
a = −0.870962 + 0.758854I
b = 1.75515 + 0.61712I
4.20236 + 6.07390I 0
u = −0.118334 − 1.011640I
a = −0.870962 − 0.758854I
b = 1.75515 − 0.61712I
4.20236 − 6.07390I 0
u = −0.444719 + 0.852802I
a = 0.148478 − 0.422917I
b = −0.597224 + 0.801204I
4.90066 + 1.02014I 0
u = −0.444719 − 0.852802I
a = 0.148478 + 0.422917I
b = −0.597224 − 0.801204I
4.90066 − 1.02014I 0
u = −0.093741 + 1.045320I
a = 0.34305 − 2.21818I
b = −0.693426 − 0.247834I
8.50396 + 0.43867I 0
u = −0.093741 − 1.045320I
a = 0.34305 + 2.21818I
b = −0.693426 + 0.247834I
8.50396 − 0.43867I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.927970 + 0.513660I
a = 0.595604 + 0.249765I
b = 0.243177 − 0.106938I
−0.04997 − 1.54327I 0
u = 0.927970 − 0.513660I
a = 0.595604 − 0.249765I
b = 0.243177 + 0.106938I
−0.04997 + 1.54327I 0
u = 0.344738 + 1.048830I
a = −0.35400 + 1.73187I
b = −0.856807 + 0.198206I
8.98322 − 1.41917I 0
u = 0.344738 − 1.048830I
a = −0.35400 − 1.73187I
b = −0.856807 − 0.198206I
8.98322 + 1.41917I 0
u = −0.386684 + 1.081490I
a = −0.347725 − 0.989252I
b = −0.344889 − 1.080460I
5.45236 + 11.94070I 0
u = −0.386684 − 1.081490I
a = −0.347725 + 0.989252I
b = −0.344889 + 1.080460I
5.45236 − 11.94070I 0
u = −0.025208 + 1.162490I
a = −0.043845 − 0.967961I
b = −0.38751 − 1.56423I
6.77755 + 0.15008I 0
u = −0.025208 − 1.162490I
a = −0.043845 + 0.967961I
b = −0.38751 + 1.56423I
6.77755 − 0.15008I 0
u = 0.293256 + 1.153770I
a = 0.620348 + 1.253600I
b = −0.92199 + 1.08251I
−1.33501 − 5.31999I 0
u = 0.293256 − 1.153770I
a = 0.620348 − 1.253600I
b = −0.92199 − 1.08251I
−1.33501 + 5.31999I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.624381 + 1.022350I
a = 0.097034 − 0.402158I
b = 0.321071 − 1.037770I
0.58470 − 2.09304I 0
u = 0.624381 − 1.022350I
a = 0.097034 + 0.402158I
b = 0.321071 + 1.037770I
0.58470 + 2.09304I 0
u = 1.074440 + 0.634726I
a = 0.051733 − 0.733301I
b = 1.010200 − 0.975411I
0.22880 − 5.39152I 0
u = 1.074440 − 0.634726I
a = 0.051733 + 0.733301I
b = 1.010200 + 0.975411I
0.22880 + 5.39152I 0
u = −0.177091 + 1.268550I
a = 0.069550 + 0.339557I
b = 0.981842 + 0.065353I
4.63133 − 4.58486I 0
u = −0.177091 − 1.268550I
a = 0.069550 − 0.339557I
b = 0.981842 − 0.065353I
4.63133 + 4.58486I 0
u = 0.230407 + 1.267340I
a = −1.48175 + 0.71376I
b = 0.588341 + 0.156913I
4.15874 − 3.10287I 0
u = 0.230407 − 1.267340I
a = −1.48175 − 0.71376I
b = 0.588341 − 0.156913I
4.15874 + 3.10287I 0
u = 0.549471 + 0.330953I
a = −1.62062 − 0.77428I
b = −0.642120 − 0.716574I
−3.90509 + 2.04602I 9.3993 − 11.6781I
u = 0.549471 − 0.330953I
a = −1.62062 + 0.77428I
b = −0.642120 + 0.716574I
−3.90509 − 2.04602I 9.3993 + 11.6781I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.625205
a = −2.66249
b = 0.473018
0.206288 −66.4260
u = 1.380870 + 0.184957I
a = −0.262796 + 0.565309I
b = −0.802715 + 0.918247I
−0.78309 − 3.58958I 0
u = 1.380870 − 0.184957I
a = −0.262796 − 0.565309I
b = −0.802715 − 0.918247I
−0.78309 + 3.58958I 0
u = 0.239130 + 0.538558I
a = 1.19781 + 0.97004I
b = −1.40550 + 0.59287I
−2.67696 − 2.12478I −6.99504 + 4.06773I
u = 0.239130 − 0.538558I
a = 1.19781 − 0.97004I
b = −1.40550 − 0.59287I
−2.67696 + 2.12478I −6.99504 − 4.06773I
u = 0.37853 + 1.38363I
a = −0.652867 − 1.009510I
b = 1.27979 − 0.73932I
6.19564 − 9.72611I 0
u = 0.37853 − 1.38363I
a = −0.652867 + 1.009510I
b = 1.27979 + 0.73932I
6.19564 + 9.72611I 0
u = 0.13969 + 1.52880I
a = −0.604899 − 0.151146I
b = 0.574091 − 0.138194I
3.66278 − 3.26269I 0
u = 0.13969 − 1.52880I
a = −0.604899 + 0.151146I
b = 0.574091 + 0.138194I
3.66278 + 3.26269I 0
u = 0.57586 + 1.43387I
a = 0.447717 + 0.881036I
b = −1.36032 + 0.85104I
4.16495 − 10.16420I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.57586 − 1.43387I
a = 0.447717 − 0.881036I
b = −1.36032 − 0.85104I
4.16495 + 10.16420I 0
u = 0.42588 + 1.57362I
a = −0.292379 − 0.443719I
b = 0.617815 − 0.097581I
3.62164 − 3.32385I 0
u = 0.42588 − 1.57362I
a = −0.292379 + 0.443719I
b = 0.617815 + 0.097581I
3.62164 + 3.32385I 0
u = 0.0418232 + 0.0074767I
a = 3.8926 − 26.4885I
b = 1.110350 − 0.271330I
0.73332 − 6.71138I −0.06568 + 7.58038I
u = 0.0418232 − 0.0074767I
a = 3.8926 + 26.4885I
b = 1.110350 + 0.271330I
0.73332 + 6.71138I −0.06568 − 7.58038I
u = −0.56866 + 2.06832I
a = 0.142605 − 0.067571I
b = −0.421313 + 0.220937I
6.49366 − 6.65618I 0
u = −0.56866 − 2.06832I
a = 0.142605 + 0.067571I
b = −0.421313 − 0.220937I
6.49366 + 6.65618I 0
34
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
47
− 4u
46
+ ··· − 18u − 4)
· (u
194
− 15u
193
+ ··· + 4276480u − 140732)
c
2
(u
47
+ u
46
+ ··· − 3u + 1)(u
194
− 2u
193
+ ··· − 115u + 763)
c
3
(u
47
− 50u
43
+ ··· − 4u + 1)
· (u
194
− 3u
193
+ ··· + 10121514u − 2950781)
c
4
(u
47
− 2u
46
+ ··· + 10u + 1)(u
194
− 5u
193
+ ··· − 1229250u − 450361)
c
5
(u
47
+ u
45
+ ··· − 140u + 31)
· (u
194
− 3u
193
+ ··· + 1930268u − 110863)
c
6
(u
47
− u
46
+ ··· − 3u − 1)(u
194
− 2u
193
+ ··· − 115u + 763)
c
7
(u
47
− 4u
46
+ ··· + 25u + 1)(u
194
+ 3u
193
+ ··· + 39u + 1)
c
8
(u
47
− 12u
46
+ ··· + 58u − 1)
· (u
194
+ 5u
193
+ ··· + 1119128u + 157651)
c
9
(u
47
− u
46
+ ··· + u − 1)(u
194
− 2u
193
+ ··· + 2.94470 × 10
7
u − 7136263)
c
10
(u
47
− 3u
46
+ ··· − 3u + 1)(u
194
− 6u
193
+ ··· − 4089433u + 368299)
c
11
(u
47
+ 12u
46
+ ··· + 58u + 1)
· (u
194
+ 5u
193
+ ··· + 1119128u + 157651)
c
12
(u
47
− 2u
46
+ ··· − 9u − 1)(u
194
− 3u
193
+ ··· − 1779u − 187)
35
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
47
+ 2y
46
+ ··· + 92y −16)
· (y
194
+ 57y
193
+ ··· + 9871873955280y + 19805495824)
c
2
, c
6
(y
47
− 29y
46
+ ··· + 19y −1)
· (y
194
− 122y
193
+ ··· − 27508693y + 582169)
c
3
(y
47
− 100y
45
+ ··· − 48y −1)
· (y
194
+ 43y
193
+ ··· − 281074639663414y + 8707108509961)
c
4
(y
47
− 12y
46
+ ··· + 48y −1)
· (y
194
− 49y
193
+ ··· − 4233488708222y + 202825030321)
c
5
(y
47
+ 2y
46
+ ··· − 7990y −961)
· (y
194
+ 9y
193
+ ··· − 1148717911644y + 12290604769)
c
7
(y
47
+ 8y
46
+ ··· + 127y −1)(y
194
+ 11y
193
+ ··· − 137y + 1)
c
8
, c
11
(y
47
+ 42y
46
+ ··· + 1024y −1)
· (y
194
+ 145y
193
+ ··· − 983610590218y + 24853837801)
c
9
(y
47
+ 47y
46
+ ··· − 39y −1)
· (y
194
+ 70y
193
+ ··· + 2458572666392573y + 50926249605169)
c
10
(y
47
+ 17y
46
+ ··· + 27y −1)
· (y
194
− 20y
193
+ ··· − 11280170985833y + 135644153401)
c
12
(y
47
− 18y
46
+ ··· + 3y −1)(y
194
− 31y
193
+ ··· − 837813y + 34969)
36
