12a
0387
(K12a
0387
)
A knot diagram
1
Linearized knot diagam
3 6 9 10 8 2 11 1 12 5 7 4
Solving Sequence
2,7
6 3
1,12
11 8 9 4 5 10
c
6
c
2
c
1
c
11
c
7
c
8
c
3
c
5
c
10
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.05426 × 10
408
u
149
+ 3.71855 × 10
408
u
148
+ ··· + 2.44889 × 10
408
b + 3.85948 × 10
410
,
− 9.91717 × 10
409
u
149
+ 3.49642 × 10
410
u
148
+ ··· + 1.29791 × 10
410
a + 9.21565 × 10
412
,
u
150
− 4u
149
+ ··· − 3712u + 424i
I
u
2
= h4985116807u
41
− 10536935014u
40
+ ··· + 1443471113b − 1825302319,
− 2939589314u
41
+ 8863014375u
40
+ ··· + 1443471113a + 1681161226,
u
42
− 2u
41
+ ··· + 8u
2
+ 1i
I
u
3
= h−63975a
5
u + 71430a
4
u + ··· − 875339a − 403473,
a
6
− 3a
5
u − 4a
5
− 4a
4
u − 7a
4
+ 41a
3
u + 16a
3
− 35a
2
u + 19a
2
− 8au − 19a + 7u − 5, u
2
+ u + 1i
I
u
4
= hb + u + 1, a + u + 2, u
2
+ u + 1i
* 4 irreducible components of dim
C
= 0, with total 206 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−1.05 × 10
408
u
149
+ 3.72 × 10
408
u
148
+ · · · + 2.45 × 10
408
b + 3.86 ×
10
410
, −9.92 × 10
409
u
149
+ 3.50 × 10
410
u
148
+ · · · + 1.30 × 10
410
a + 9.22 ×
10
412
, u
150
− 4u
149
+ · · · − 3712u + 424i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
12
=
0.764087u
149
− 2.69388u
148
+ ··· + 5171.06u − 710.037
0.430506u
149
− 1.51846u
148
+ ··· + 1279.29u − 157.601
a
11
=
0.333581u
149
− 1.17542u
148
+ ··· + 3891.77u − 552.435
0.430506u
149
− 1.51846u
148
+ ··· + 1279.29u − 157.601
a
8
=
0.314943u
149
− 2.08245u
148
+ ··· + 6240.60u − 840.864
−0.496159u
149
+ 1.65502u
148
+ ··· − 532.595u + 2.94029
a
9
=
−0.0170775u
149
− 0.874147u
148
+ ··· + 5648.81u − 793.205
−0.197127u
149
+ 0.554592u
148
+ ··· + 953.099u − 169.611
a
4
=
−0.227733u
149
+ 0.363072u
148
+ ··· − 256.972u + 20.5049
0.000513385u
149
+ 0.280826u
148
+ ··· − 1172.62u + 165.784
a
5
=
0.520345u
149
− 2.09639u
148
+ ··· + 2703.19u − 367.651
−0.0869827u
149
+ 0.484600u
148
+ ··· − 1601.48u + 211.163
a
10
=
0.285141u
149
− 0.818613u
148
+ ··· + 3065.62u − 383.741
0.373127u
149
− 1.54301u
148
+ ··· + 2854.14u − 378.233
(ii) Obstruction class = −1
(iii) Cusp Shapes = 2.85672u
149
− 10.8672u
148
+ ··· + 14010.5u − 1820.76
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
150
+ 60u
149
+ ··· + 4386912u + 179776
c
2
, c
6
u
150
+ 4u
149
+ ··· + 3712u + 424
c
3
u
150
+ u
149
+ ··· + 3141u + 999
c
4
, c
10
u
150
− u
149
+ ··· − 106584u + 13207
c
5
u
150
− 5u
149
+ ··· − 8572569048u + 1134809017
c
7
, c
11
u
150
− 3u
149
+ ··· + 655668u + 223897
c
8
u
150
− 9u
149
+ ··· + 12351u + 1427
c
9
u
150
− 17u
149
+ ··· − 14918u + 1267
c
12
u
150
+ 13u
149
+ ··· + 14298u + 1369
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
150
+ 52y
149
+ ··· + 1711720099328y + 32319410176
c
2
, c
6
y
150
+ 60y
149
+ ··· + 4386912y + 179776
c
3
y
150
− 17y
149
+ ··· − 155034567y + 998001
c
4
, c
10
y
150
− 125y
149
+ ··· + 19096275918y + 174424849
c
5
y
150
− 35y
149
+ ··· − 7.46 × 10
19
y + 1.29 × 10
18
c
7
, c
11
y
150
+ 105y
149
+ ··· + 298851072020y + 50129866609
c
8
y
150
+ y
149
+ ··· − 5825915y + 2036329
c
9
y
150
− 27y
149
+ ··· + 113839242y + 1605289
c
12
y
150
+ 27y
149
+ ··· + 47287964y + 1874161
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.650950 + 0.755793I
a = −0.44599 − 2.08696I
b = −0.411761 − 0.718357I
0.99424 + 1.29069I 0
u = −0.650950 − 0.755793I
a = −0.44599 + 2.08696I
b = −0.411761 + 0.718357I
0.99424 − 1.29069I 0
u = 0.621403 + 0.786918I
a = −0.856285 + 1.117390I
b = −0.999949 + 0.281513I
3.39719 + 0.83657I 0
u = 0.621403 − 0.786918I
a = −0.856285 − 1.117390I
b = −0.999949 − 0.281513I
3.39719 − 0.83657I 0
u = 0.114917 + 1.008940I
a = −0.382018 − 0.545706I
b = 0.610476 − 0.043028I
−6.67344 − 0.00875I 0
u = 0.114917 − 1.008940I
a = −0.382018 + 0.545706I
b = 0.610476 + 0.043028I
−6.67344 + 0.00875I 0
u = 0.831449 + 0.585500I
a = 1.275070 − 0.064925I
b = 0.713685 + 0.361887I
3.76191 − 3.62939I 0
u = 0.831449 − 0.585500I
a = 1.275070 + 0.064925I
b = 0.713685 − 0.361887I
3.76191 + 3.62939I 0
u = −0.825173 + 0.532123I
a = −0.102577 + 0.528319I
b = −0.151141 + 0.842921I
0.161939 − 1.273430I 0
u = −0.825173 − 0.532123I
a = −0.102577 − 0.528319I
b = −0.151141 − 0.842921I
0.161939 + 1.273430I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.726183 + 0.722324I
a = 0.873867 + 0.265574I
b = 0.757927 + 0.274626I
−0.967754 − 0.375779I 0
u = −0.726183 − 0.722324I
a = 0.873867 − 0.265574I
b = 0.757927 − 0.274626I
−0.967754 + 0.375779I 0
u = −0.824969 + 0.494654I
a = −1.98368 − 0.36932I
b = −1.143490 + 0.137954I
−0.56940 + 7.88106I 0
u = −0.824969 − 0.494654I
a = −1.98368 + 0.36932I
b = −1.143490 − 0.137954I
−0.56940 − 7.88106I 0
u = −0.831057 + 0.622360I
a = 1.48914 + 0.17063I
b = 0.681374 − 0.497323I
3.40903 − 3.07032I 0
u = −0.831057 − 0.622360I
a = 1.48914 − 0.17063I
b = 0.681374 + 0.497323I
3.40903 + 3.07032I 0
u = −0.774546 + 0.695772I
a = 0.109303 + 0.971349I
b = 0.012048 + 0.882612I
0.266192 − 1.288680I 0
u = −0.774546 − 0.695772I
a = 0.109303 − 0.971349I
b = 0.012048 − 0.882612I
0.266192 + 1.288680I 0
u = 0.290064 + 0.898956I
a = 1.44191 + 0.49857I
b = 0.560825 + 0.278835I
−2.66861 − 2.39206I 0
u = 0.290064 − 0.898956I
a = 1.44191 − 0.49857I
b = 0.560825 − 0.278835I
−2.66861 + 2.39206I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.713200 + 0.791127I
a = −2.62672 − 0.39456I
b = −0.659778 − 0.741783I
−0.14769 + 5.52578I 0
u = 0.713200 − 0.791127I
a = −2.62672 + 0.39456I
b = −0.659778 + 0.741783I
−0.14769 − 5.52578I 0
u = 0.582752 + 0.729911I
a = −0.659704 + 0.827879I
b = −0.631795 + 1.018940I
1.27517 − 1.70404I 0
u = 0.582752 − 0.729911I
a = −0.659704 − 0.827879I
b = −0.631795 − 1.018940I
1.27517 + 1.70404I 0
u = 0.985549 + 0.417985I
a = −0.75578 + 1.24311I
b = −0.54984 + 1.37863I
−1.71146 − 5.79968I 0
u = 0.985549 − 0.417985I
a = −0.75578 − 1.24311I
b = −0.54984 − 1.37863I
−1.71146 + 5.79968I 0
u = −0.275656 + 0.887326I
a = −1.57663 − 0.50483I
b = 0.31725 + 1.54240I
−6.73260 + 4.81037I 0
u = −0.275656 − 0.887326I
a = −1.57663 + 0.50483I
b = 0.31725 − 1.54240I
−6.73260 − 4.81037I 0
u = −0.061811 + 1.070180I
a = 0.456316 − 0.345619I
b = 0.506918 + 0.009288I
−2.42430 − 2.76345I 0
u = −0.061811 − 1.070180I
a = 0.456316 + 0.345619I
b = 0.506918 − 0.009288I
−2.42430 + 2.76345I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.041663 + 1.072690I
a = −0.29566 − 1.72481I
b = 0.243974 + 1.295210I
−10.69020 + 2.88193I 0
u = −0.041663 − 1.072690I
a = −0.29566 + 1.72481I
b = 0.243974 − 1.295210I
−10.69020 − 2.88193I 0
u = 0.531037 + 0.933853I
a = 1.148340 + 0.581571I
b = 0.288731 − 0.872686I
−1.47947 + 7.40469I 0
u = 0.531037 − 0.933853I
a = 1.148340 − 0.581571I
b = 0.288731 + 0.872686I
−1.47947 − 7.40469I 0
u = −0.722429 + 0.576440I
a = 0.749423 + 0.528782I
b = 0.428522 + 1.299240I
−5.52036 + 3.96191I 0
u = −0.722429 − 0.576440I
a = 0.749423 − 0.528782I
b = 0.428522 − 1.299240I
−5.52036 − 3.96191I 0
u = 0.383504 + 1.006110I
a = −0.611075 + 0.283529I
b = 0.51502 − 1.34591I
−8.29483 + 0.76226I 0
u = 0.383504 − 1.006110I
a = −0.611075 − 0.283529I
b = 0.51502 + 1.34591I
−8.29483 − 0.76226I 0
u = −0.588937 + 0.708986I
a = 0.397719 + 1.079340I
b = 0.65335 + 1.38329I
−3.99681 + 5.06430I 0
u = −0.588937 − 0.708986I
a = 0.397719 − 1.079340I
b = 0.65335 − 1.38329I
−3.99681 − 5.06430I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.493151 + 0.774656I
a = 1.58068 − 2.20767I
b = 0.022793 + 0.937822I
−0.91992 − 3.22167I 0
u = 0.493151 − 0.774656I
a = 1.58068 + 2.20767I
b = 0.022793 − 0.937822I
−0.91992 + 3.22167I 0
u = 0.978308 + 0.473054I
a = 0.739734 − 0.456668I
b = 0.444904 − 1.083800I
1.55723 − 8.02675I 0
u = 0.978308 − 0.473054I
a = 0.739734 + 0.456668I
b = 0.444904 + 1.083800I
1.55723 + 8.02675I 0
u = 0.494537 + 0.967703I
a = 2.47444 − 0.63695I
b = 0.789877 + 1.164020I
−7.72315 + 4.99312I 0
u = 0.494537 − 0.967703I
a = 2.47444 + 0.63695I
b = 0.789877 − 1.164020I
−7.72315 − 4.99312I 0
u = 0.621848 + 0.892751I
a = −1.43500 + 0.37567I
b = −0.983201 − 0.454241I
3.06867 + 4.05325I 0
u = 0.621848 − 0.892751I
a = −1.43500 − 0.37567I
b = −0.983201 + 0.454241I
3.06867 − 4.05325I 0
u = 0.757337 + 0.790337I
a = −0.46674 − 2.05983I
b = 0.034037 − 1.003050I
−1.13396 − 3.55942I 0
u = 0.757337 − 0.790337I
a = −0.46674 + 2.05983I
b = 0.034037 + 1.003050I
−1.13396 + 3.55942I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.592903 + 0.922265I
a = −2.14985 + 0.57649I
b = −0.559444 − 1.141470I
0.68849 + 6.39957I 0
u = 0.592903 − 0.922265I
a = −2.14985 − 0.57649I
b = −0.559444 + 1.141470I
0.68849 − 6.39957I 0
u = −0.977164 + 0.531187I
a = −0.927771 − 1.027930I
b = −0.58404 − 1.34138I
−4.4056 + 13.9896I 0
u = −0.977164 − 0.531187I
a = −0.927771 + 1.027930I
b = −0.58404 + 1.34138I
−4.4056 − 13.9896I 0
u = −0.585919 + 0.958362I
a = 2.24941 + 0.52148I
b = 0.64230 − 1.51457I
−4.78169 − 9.74906I 0
u = −0.585919 − 0.958362I
a = 2.24941 − 0.52148I
b = 0.64230 + 1.51457I
−4.78169 + 9.74906I 0
u = −0.625189 + 0.938877I
a = −1.98223 + 0.76413I
b = −0.533832 + 0.743511I
0.41871 − 6.27820I 0
u = −0.625189 − 0.938877I
a = −1.98223 − 0.76413I
b = −0.533832 − 0.743511I
0.41871 + 6.27820I 0
u = 0.810088 + 0.800939I
a = −0.223635 + 0.414429I
b = 0.066297 + 0.944285I
−4.87474 + 3.08619I 0
u = 0.810088 − 0.800939I
a = −0.223635 − 0.414429I
b = 0.066297 − 0.944285I
−4.87474 − 3.08619I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.540746 + 1.004720I
a = 0.604989 − 0.987701I
b = 0.926149 − 0.025919I
−4.31926 + 5.98167I 0
u = 0.540746 − 1.004720I
a = 0.604989 + 0.987701I
b = 0.926149 + 0.025919I
−4.31926 − 5.98167I 0
u = 0.413846 + 0.750680I
a = 0.70316 − 2.01829I
b = 0.722478 − 0.919669I
−6.90497 − 1.16927I 0
u = 0.413846 − 0.750680I
a = 0.70316 + 2.01829I
b = 0.722478 + 0.919669I
−6.90497 + 1.16927I 0
u = −0.272092 + 0.809969I
a = −1.040330 + 0.672728I
b = −0.496985 − 1.005560I
−1.90581 + 1.97647I 0
u = −0.272092 − 0.809969I
a = −1.040330 − 0.672728I
b = −0.496985 + 1.005560I
−1.90581 − 1.97647I 0
u = 0.136984 + 1.152860I
a = 0.753093 − 1.067520I
b = 0.133213 + 1.247890I
−6.51856 − 0.37911I 0
u = 0.136984 − 1.152860I
a = 0.753093 + 1.067520I
b = 0.133213 − 1.247890I
−6.51856 + 0.37911I 0
u = 0.713406 + 0.927737I
a = 1.21139 + 1.69226I
b = 0.138195 + 0.969854I
−1.56011 + 9.13779I 0
u = 0.713406 − 0.927737I
a = 1.21139 − 1.69226I
b = 0.138195 − 0.969854I
−1.56011 − 9.13779I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.061121 + 1.178270I
a = −0.509371 − 0.330189I
b = −1.229600 − 0.240758I
−6.31401 + 5.88115I 0
u = −0.061121 − 1.178270I
a = −0.509371 + 0.330189I
b = −1.229600 + 0.240758I
−6.31401 − 5.88115I 0
u = −0.809128 + 0.117810I
a = −1.05186 + 1.59195I
b = −0.38320 + 1.40861I
−5.90630 + 2.54128I 0
u = −0.809128 − 0.117810I
a = −1.05186 − 1.59195I
b = −0.38320 − 1.40861I
−5.90630 − 2.54128I 0
u = 0.765197 + 0.905133I
a = −1.20307 + 1.47877I
b = −0.758829 + 0.845689I
−0.465950 + 0.095991I 0
u = 0.765197 − 0.905133I
a = −1.20307 − 1.47877I
b = −0.758829 − 0.845689I
−0.465950 − 0.095991I 0
u = −0.711895 + 0.956815I
a = 0.932444 + 0.558381I
b = 0.626586 − 0.432443I
−1.65089 − 5.10684I 0
u = −0.711895 − 0.956815I
a = 0.932444 − 0.558381I
b = 0.626586 + 0.432443I
−1.65089 + 5.10684I 0
u = 1.136500 + 0.382656I
a = −0.613173 − 0.907338I
b = −0.274027 − 1.296790I
−5.20724 + 7.78112I 0
u = 1.136500 − 0.382656I
a = −0.613173 + 0.907338I
b = −0.274027 + 1.296790I
−5.20724 − 7.78112I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.074900 + 0.535039I
a = 0.572072 + 0.589261I
b = 0.347227 + 1.067570I
1.63852 + 0.87299I 0
u = −1.074900 − 0.535039I
a = 0.572072 − 0.589261I
b = 0.347227 − 1.067570I
1.63852 − 0.87299I 0
u = −0.723079 + 0.962153I
a = 1.38564 − 0.68408I
b = 0.189428 − 0.925376I
−0.48629 − 4.36459I 0
u = −0.723079 − 0.962153I
a = 1.38564 + 0.68408I
b = 0.189428 + 0.925376I
−0.48629 + 4.36459I 0
u = 0.192422 + 1.188850I
a = −0.304068 + 0.939254I
b = 0.341009 − 1.251710I
−10.67590 − 3.59088I 0
u = 0.192422 − 1.188850I
a = −0.304068 − 0.939254I
b = 0.341009 + 1.251710I
−10.67590 + 3.59088I 0
u = 0.595979 + 1.050260I
a = −1.252900 + 0.541350I
b = −0.139471 − 1.324330I
−3.60547 + 7.44738I 0
u = 0.595979 − 1.050260I
a = −1.252900 − 0.541350I
b = −0.139471 + 1.324330I
−3.60547 − 7.44738I 0
u = −0.647017 + 1.031450I
a = 2.09180 + 0.64795I
b = 0.42011 − 1.37358I
−6.85865 − 9.22521I 0
u = −0.647017 − 1.031450I
a = 2.09180 − 0.64795I
b = 0.42011 + 1.37358I
−6.85865 + 9.22521I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.468310 + 1.125850I
a = −0.998152 − 0.988097I
b = −0.271389 + 1.144420I
−3.70741 − 4.72354I 0
u = −0.468310 − 1.125850I
a = −0.998152 + 0.988097I
b = −0.271389 − 1.144420I
−3.70741 + 4.72354I 0
u = 0.581506 + 1.082150I
a = 2.05829 − 0.79525I
b = 0.515155 + 1.284370I
−8.11659 + 11.17000I 0
u = 0.581506 − 1.082150I
a = 2.05829 + 0.79525I
b = 0.515155 − 1.284370I
−8.11659 − 11.17000I 0
u = −0.502774 + 1.121860I
a = 0.832395 − 0.342287I
b = −0.26050 − 1.63306I
−8.82750 − 7.10674I 0
u = −0.502774 − 1.121860I
a = 0.832395 + 0.342287I
b = −0.26050 + 1.63306I
−8.82750 + 7.10674I 0
u = 0.666100 + 0.336129I
a = 1.046180 − 0.481645I
b = 0.477078 − 1.218250I
−6.09544 − 6.32924I 0
u = 0.666100 − 0.336129I
a = 1.046180 + 0.481645I
b = 0.477078 + 1.218250I
−6.09544 + 6.32924I 0
u = 0.680060 + 1.058250I
a = 0.652114 − 0.693106I
b = 0.811675 − 0.272700I
2.32250 + 9.27951I 0
u = 0.680060 − 1.058250I
a = 0.652114 + 0.693106I
b = 0.811675 + 0.272700I
2.32250 − 9.27951I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.693006 + 1.052260I
a = 0.772413 + 0.692159I
b = 0.793311 + 0.470919I
2.08595 − 2.62528I 0
u = −0.693006 − 1.052260I
a = 0.772413 − 0.692159I
b = 0.793311 − 0.470919I
2.08595 + 2.62528I 0
u = 0.618538 + 0.393981I
a = 0.557185 + 0.370260I
b = −0.141671 + 1.154780I
−1.88431 − 2.63251I 0
u = 0.618538 − 0.393981I
a = 0.557185 − 0.370260I
b = −0.141671 − 1.154780I
−1.88431 + 2.63251I 0
u = 0.536784 + 1.148870I
a = −1.11407 + 1.08513I
b = −1.52251 + 0.35434I
−0.09056 + 4.18471I 0
u = 0.536784 − 1.148870I
a = −1.11407 − 1.08513I
b = −1.52251 − 0.35434I
−0.09056 − 4.18471I 0
u = −1.261540 + 0.133024I
a = 0.197607 − 0.212360I
b = 0.035794 − 0.956224I
0.868836 − 0.257459I 0
u = −1.261540 − 0.133024I
a = 0.197607 + 0.212360I
b = 0.035794 + 0.956224I
0.868836 + 0.257459I 0
u = 0.761715 + 1.020310I
a = −1.42624 − 0.03076I
b = −0.024599 − 1.073280I
−5.56602 + 2.91772I 0
u = 0.761715 − 1.020310I
a = −1.42624 + 0.03076I
b = −0.024599 + 1.073280I
−5.56602 − 2.91772I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.651941 + 1.094300I
a = −1.13866 − 1.07029I
b = −1.300600 − 0.162937I
−2.36595 − 13.40950I 0
u = −0.651941 − 1.094300I
a = −1.13866 + 1.07029I
b = −1.300600 + 0.162937I
−2.36595 + 13.40950I 0
u = −0.280043 + 1.263290I
a = −1.152490 − 0.363033I
b = −0.64298 + 1.54653I
−10.36940 − 1.32994I 0
u = −0.280043 − 1.263290I
a = −1.152490 + 0.363033I
b = −0.64298 − 1.54653I
−10.36940 + 1.32994I 0
u = 0.087934 + 1.321040I
a = −0.485989 + 0.597999I
b = −0.44106 − 1.43842I
−11.7739 + 11.5393I 0
u = 0.087934 − 1.321040I
a = −0.485989 − 0.597999I
b = −0.44106 + 1.43842I
−11.7739 − 11.5393I 0
u = −0.788952 + 1.066170I
a = 0.556902 − 0.062106I
b = 0.051172 − 0.733929I
−1.44150 − 4.85210I 0
u = −0.788952 − 1.066170I
a = 0.556902 + 0.062106I
b = 0.051172 + 0.733929I
−1.44150 + 4.85210I 0
u = 0.693021 + 1.149290I
a = 1.67113 − 0.49046I
b = 0.484683 + 1.184340I
−0.52663 + 14.08750I 0
u = 0.693021 − 1.149290I
a = 1.67113 + 0.49046I
b = 0.484683 − 1.184340I
−0.52663 − 14.08750I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.714398 + 1.137700I
a = −2.04445 − 0.22489I
b = −0.63841 + 1.38263I
−6.2951 − 20.1515I 0
u = −0.714398 − 1.137700I
a = −2.04445 + 0.22489I
b = −0.63841 − 1.38263I
−6.2951 + 20.1515I 0
u = −0.725520 + 1.139120I
a = 1.65930 + 0.26547I
b = 0.450946 − 1.158360I
−0.29198 − 7.24361I 0
u = −0.725520 − 1.139120I
a = 1.65930 − 0.26547I
b = 0.450946 + 1.158360I
−0.29198 + 7.24361I 0
u = 0.684601 + 1.171970I
a = −1.90470 + 0.10444I
b = −0.68210 − 1.44306I
−4.01000 + 11.84820I 0
u = 0.684601 − 1.171970I
a = −1.90470 − 0.10444I
b = −0.68210 + 1.44306I
−4.01000 − 11.84820I 0
u = 0.536805 + 0.352824I
a = 1.153040 − 0.032500I
b = 0.785953 + 0.066946I
−2.69886 − 1.68877I 0
u = 0.536805 − 0.352824I
a = 1.153040 + 0.032500I
b = 0.785953 − 0.066946I
−2.69886 + 1.68877I 0
u = 0.525980 + 0.367283I
a = −1.45876 − 2.26168I
b = −0.313122 − 0.123679I
−0.68433 + 5.18324I 7.31593 − 7.24109I
u = 0.525980 − 0.367283I
a = −1.45876 + 2.26168I
b = −0.313122 + 0.123679I
−0.68433 − 5.18324I 7.31593 + 7.24109I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.186049 + 0.608710I
a = 1.12188 − 0.95562I
b = −0.314400 + 1.060000I
−1.64492 − 2.67203I −4.50874 + 6.35714I
u = 0.186049 − 0.608710I
a = 1.12188 + 0.95562I
b = −0.314400 − 1.060000I
−1.64492 + 2.67203I −4.50874 − 6.35714I
u = −0.082572 + 1.370880I
a = 0.322643 + 0.757160I
b = 0.181283 − 1.141450I
−5.68035 − 5.08287I 0
u = −0.082572 − 1.370880I
a = 0.322643 − 0.757160I
b = 0.181283 + 1.141450I
−5.68035 + 5.08287I 0
u = 0.468808 + 0.378093I
a = −2.69092 + 1.38331I
b = −1.087480 − 0.243844I
2.31321 + 0.20343I 4.06423 + 2.59642I
u = 0.468808 − 0.378093I
a = −2.69092 − 1.38331I
b = −1.087480 + 0.243844I
2.31321 − 0.20343I 4.06423 − 2.59642I
u = −0.64713 + 1.27358I
a = −0.772154 − 0.487196I
b = −0.153719 + 1.035400I
−2.78167 − 5.98666I 0
u = −0.64713 − 1.27358I
a = −0.772154 + 0.487196I
b = −0.153719 − 1.035400I
−2.78167 + 5.98666I 0
u = 0.52603 + 1.32883I
a = 0.618820 + 0.111020I
b = −0.098842 + 1.403380I
−8.60944 − 1.41407I 0
u = 0.52603 − 1.32883I
a = 0.618820 − 0.111020I
b = −0.098842 − 1.403380I
−8.60944 + 1.41407I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.330520 + 0.429626I
a = 0.162968 + 0.244649I
b = −0.312965 + 0.661779I
−0.01282 − 1.45694I 0.38060 + 6.10159I
u = −0.330520 − 0.429626I
a = 0.162968 − 0.244649I
b = −0.312965 − 0.661779I
−0.01282 + 1.45694I 0.38060 − 6.10159I
u = −0.536611 + 0.015304I
a = 0.393454 + 1.063740I
b = −0.242688 − 0.183585I
1.41121 + 0.62377I 8.27435 − 2.69030I
u = −0.536611 − 0.015304I
a = 0.393454 − 1.063740I
b = −0.242688 + 0.183585I
1.41121 − 0.62377I 8.27435 + 2.69030I
u = 0.026522 + 0.533125I
a = 2.01961 − 0.20416I
b = 0.431731 − 1.206400I
−5.64221 − 6.25406I −8.25817 + 6.27799I
u = 0.026522 − 0.533125I
a = 2.01961 + 0.20416I
b = 0.431731 + 1.206400I
−5.64221 + 6.25406I −8.25817 − 6.27799I
u = 0.421867 + 0.305654I
a = 1.400930 − 0.053754I
b = 0.439158 + 1.177830I
−6.30041 + 2.49529I −1.95483 − 4.20336I
u = 0.421867 − 0.305654I
a = 1.400930 + 0.053754I
b = 0.439158 − 1.177830I
−6.30041 − 2.49529I −1.95483 + 4.20336I
u = 0.19473 + 1.47216I
a = 0.215349 + 0.094681I
b = −0.15322 + 1.63264I
−8.19244 − 1.90575I 0
u = 0.19473 − 1.47216I
a = 0.215349 − 0.094681I
b = −0.15322 − 1.63264I
−8.19244 + 1.90575I 0
19
II.
I
u
2
= h4.99 × 10
9
u
41
− 1.05 × 10
10
u
40
+ · · · + 1.44 × 10
9
b − 1.83 × 10
9
, −2.94 ×
10
9
u
41
+8.86×10
9
u
40
+· · ·+1.44×10
9
a+1.68×10
9
, u
42
−2u
41
+· · ·+8u
2
+1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
12
=
2.03647u
41
− 6.14007u
40
+ ··· + 0.294353u − 1.16467
−3.45356u
41
+ 7.29972u
40
+ ··· + 0.277538u + 1.26452
a
11
=
5.49003u
41
− 13.4398u
40
+ ··· + 0.0168151u − 2.42919
−3.45356u
41
+ 7.29972u
40
+ ··· + 0.277538u + 1.26452
a
8
=
2.44073u
41
− 3.20079u
40
+ ··· − 1.23471u + 1.49892
2.53676u
41
− 5.93263u
40
+ ··· + 0.411471u + 6.19167
a
9
=
4.17302u
41
− 9.82550u
40
+ ··· − 0.687428u + 0.762912
4.07913u
41
− 10.4201u
40
+ ··· + 2.61627u + 6.01857
a
4
=
0.168715u
41
+ 3.30722u
40
+ ··· − 3.61210u + 6.73805
−0.877766u
41
+ 2.09580u
40
+ ··· − 2.06402u + 2.05482
a
5
=
−1.60134u
41
+ 0.345280u
40
+ ··· + 8.71410u − 7.76523
−0.00256400u
41
− 5.35337u
40
+ ··· − 2.57193u − 4.36596
a
10
=
3.54154u
41
− 8.38095u
40
+ ··· + 11.4661u − 5.28746
−1.25171u
41
+ 8.20323u
40
+ ··· − 0.240313u + 7.62073
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
22920229274
1443471113
u
41
+
53144557383
1443471113
u
40
+ ···−
33448926037
1443471113
u −
35384393588
1443471113
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
42
− 18u
41
+ ··· − 16u + 1
c
2
u
42
+ 2u
41
+ ··· + 8u
2
+ 1
c
3
u
42
− 5u
40
+ ··· − u + 1
c
4
u
42
− 15u
40
+ ··· + 4u + 1
c
5
u
42
− 8u
41
+ ··· − 330u + 47
c
6
u
42
− 2u
41
+ ··· + 8u
2
+ 1
c
7
u
42
− 2u
41
+ ··· + 6u + 1
c
8
u
42
− 14u
40
+ ··· + 7u + 1
c
9
u
42
− 6u
41
+ ··· + 4u + 1
c
10
u
42
− 15u
40
+ ··· − 4u + 1
c
11
u
42
+ 2u
41
+ ··· − 6u + 1
c
12
u
42
− 2u
41
+ ··· + 4u
2
+ 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
42
+ 10y
41
+ ··· + 28y + 1
c
2
, c
6
y
42
+ 18y
41
+ ··· + 16y + 1
c
3
y
42
− 10y
41
+ ··· + 5y + 1
c
4
, c
10
y
42
− 30y
41
+ ··· − 46y + 1
c
5
y
42
+ 4y
41
+ ··· − 10388y + 2209
c
7
, c
11
y
42
+ 20y
41
+ ··· + 32y + 1
c
8
y
42
− 28y
41
+ ··· + 5y + 1
c
9
y
42
− 20y
41
+ ··· + 14y + 1
c
12
y
42
− 6y
41
+ ··· + 8y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.668980 + 0.746785I
a = −0.26873 − 2.39343I
b = −0.100408 − 0.500254I
0.26686 + 3.49917I 5.05003 − 3.52736I
u = −0.668980 − 0.746785I
a = −0.26873 + 2.39343I
b = −0.100408 + 0.500254I
0.26686 − 3.49917I 5.05003 + 3.52736I
u = −0.072131 + 1.010250I
a = −1.006950 + 0.269966I
b = −0.307642 − 0.610628I
−3.83734 + 3.39804I −6.86003 − 4.68663I
u = −0.072131 − 1.010250I
a = −1.006950 − 0.269966I
b = −0.307642 + 0.610628I
−3.83734 − 3.39804I −6.86003 + 4.68663I
u = 0.716187 + 0.782798I
a = −1.04246 + 1.28429I
b = −0.461399 + 0.803820I
1.46626 + 0.53989I 6.34425 + 0.30945I
u = 0.716187 − 0.782798I
a = −1.04246 − 1.28429I
b = −0.461399 − 0.803820I
1.46626 − 0.53989I 6.34425 − 0.30945I
u = 0.005540 + 1.090300I
a = 0.350296 − 1.327730I
b = 0.433643 + 1.302730I
−9.25446 + 2.41186I −5.38071 − 0.94658I
u = 0.005540 − 1.090300I
a = 0.350296 + 1.327730I
b = 0.433643 − 1.302730I
−9.25446 − 2.41186I −5.38071 + 0.94658I
u = 0.545157 + 0.723604I
a = −0.98891 + 1.51723I
b = −0.920613 − 0.011611I
2.46945 + 1.21894I 3.99365 − 4.54689I
u = 0.545157 − 0.723604I
a = −0.98891 − 1.51723I
b = −0.920613 + 0.011611I
2.46945 − 1.21894I 3.99365 + 4.54689I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.542897 + 0.723418I
a = 1.58247 + 1.21492I
b = 1.43732 − 0.01985I
0.453394 − 1.223000I 5.75986 − 3.06388I
u = −0.542897 − 0.723418I
a = 1.58247 − 1.21492I
b = 1.43732 + 0.01985I
0.453394 + 1.223000I 5.75986 + 3.06388I
u = 0.679374 + 0.887369I
a = −2.20399 − 0.31407I
b = −0.547469 − 0.853500I
1.17196 + 4.81355I 5.57781 − 4.97249I
u = 0.679374 − 0.887369I
a = −2.20399 + 0.31407I
b = −0.547469 + 0.853500I
1.17196 − 4.81355I 5.57781 + 4.97249I
u = −0.543847 + 0.646326I
a = 0.274707 + 0.479999I
b = 0.49535 + 1.37649I
−4.73190 + 5.30532I −3.32438 − 5.31978I
u = −0.543847 − 0.646326I
a = 0.274707 − 0.479999I
b = 0.49535 − 1.37649I
−4.73190 − 5.30532I −3.32438 + 5.31978I
u = −0.657391 + 0.958299I
a = −1.38471 + 1.36044I
b = −0.146961 + 0.476169I
−0.39493 − 8.65858I 2.00000 + 8.82377I
u = −0.657391 − 0.958299I
a = −1.38471 − 1.36044I
b = −0.146961 − 0.476169I
−0.39493 + 8.65858I 2.00000 − 8.82377I
u = 1.168860 + 0.024718I
a = −0.248697 + 0.195315I
b = −0.138684 + 0.952566I
0.885425 − 0.582210I 2.00000 + 12.70845I
u = 1.168860 − 0.024718I
a = −0.248697 − 0.195315I
b = −0.138684 − 0.952566I
0.885425 + 0.582210I 2.00000 − 12.70845I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.576437 + 1.023220I
a = 1.17698 + 1.21539I
b = 1.44302 + 0.12078I
−0.56233 − 3.27870I −1.62228 + 3.98871I
u = −0.576437 − 1.023220I
a = 1.17698 − 1.21539I
b = 1.44302 − 0.12078I
−0.56233 + 3.27870I −1.62228 − 3.98871I
u = 0.582542 + 1.019780I
a = −1.118980 + 0.390629I
b = −0.911532 + 0.114113I
1.46323 + 3.30959I 2.00000 − 6.00311I
u = 0.582542 − 1.019780I
a = −1.118980 − 0.390629I
b = −0.911532 − 0.114113I
1.46323 − 3.30959I 2.00000 + 6.00311I
u = −0.591735 + 1.026700I
a = 1.89865 + 0.63558I
b = 0.46169 − 1.46601I
−5.99007 − 9.94125I −3.07782 + 10.24571I
u = −0.591735 − 1.026700I
a = 1.89865 − 0.63558I
b = 0.46169 + 1.46601I
−5.99007 + 9.94125I −3.07782 − 10.24571I
u = −0.661653 + 0.463053I
a = 1.16137 − 1.23170I
b = 0.355215 − 1.251660I
−4.59954 − 6.54293I 0.09554 + 6.69604I
u = −0.661653 − 0.463053I
a = 1.16137 + 1.23170I
b = 0.355215 + 1.251660I
−4.59954 + 6.54293I 0.09554 − 6.69604I
u = 0.336834 + 0.667049I
a = 0.002611 − 1.130640I
b = −0.417950 + 1.045410I
−1.14667 − 2.08905I 4.14089 − 0.05151I
u = 0.336834 − 0.667049I
a = 0.002611 + 1.130640I
b = −0.417950 − 1.045410I
−1.14667 + 2.08905I 4.14089 + 0.05151I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.551737 + 0.494020I
a = 1.177980 − 0.441105I
b = −0.157573 − 0.773273I
0.301803 + 0.460767I 0.55810 + 2.83627I
u = 0.551737 − 0.494020I
a = 1.177980 + 0.441105I
b = −0.157573 + 0.773273I
0.301803 − 0.460767I 0.55810 − 2.83627I
u = 0.045395 + 0.725493I
a = −0.41437 − 1.46339I
b = 0.560179 − 0.915201I
−7.67302 − 2.07638I −8.91086 + 3.44130I
u = 0.045395 − 0.725493I
a = −0.41437 + 1.46339I
b = 0.560179 + 0.915201I
−7.67302 + 2.07638I −8.91086 − 3.44130I
u = 0.553166 + 1.178270I
a = −0.853079 + 0.625874I
b = −0.179788 − 1.126630I
−3.36715 + 5.69492I 0
u = 0.553166 − 1.178270I
a = −0.853079 − 0.625874I
b = −0.179788 + 1.126630I
−3.36715 − 5.69492I 0
u = 0.746428 + 1.099660I
a = 0.810028 + 0.173242I
b = 0.039744 + 0.817813I
−1.70968 + 5.05030I 0
u = 0.746428 − 1.099660I
a = 0.810028 − 0.173242I
b = 0.039744 − 0.817813I
−1.70968 − 5.05030I 0
u = −0.338196 + 0.495506I
a = 2.48027 − 2.39218I
b = −0.039408 + 0.639259I
−1.28715 − 5.04654I −6.04910 + 4.21122I
u = −0.338196 − 0.495506I
a = 2.48027 + 2.39218I
b = −0.039408 − 0.639259I
−1.28715 + 5.04654I −6.04910 − 4.21122I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.27796 + 1.44321I
a = −0.384488 + 0.069317I
b = 0.10326 + 1.57295I
−8.33736 + 2.03035I 0
u = −0.27796 − 1.44321I
a = −0.384488 − 0.069317I
b = 0.10326 − 1.57295I
−8.33736 − 2.03035I 0
29
III. I
u
3
= h−6.40 × 10
4
a
5
u + 7.14 × 10
4
a
4
u + · · · − 8.75 × 10
5
a − 4.03 ×
10
5
, −3a
5
u − 4a
4
u + · · · − 19a − 5, u
2
+ u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
−u − 1
a
3
=
u
u + 1
a
1
=
1
0
a
12
=
a
0.206517a
5
u − 0.230582a
4
u + ··· + 2.82567a + 1.30245
a
11
=
−0.206517a
5
u + 0.230582a
4
u + ··· − 1.82567a − 1.30245
0.206517a
5
u − 0.230582a
4
u + ··· + 2.82567a + 1.30245
a
8
=
−0.0118051a
5
u − 0.287874a
4
u + ··· + 0.819062a + 0.993637
−0.272554a
5
u + 0.216624a
4
u + ··· − 2.42273a − 1.95330
a
9
=
−0.284359a
5
u − 0.0712503a
4
u + ··· − 1.60367a − 0.959659
−0.272554a
5
u + 0.216624a
4
u + ··· − 2.42273a − 1.95330
a
4
=
0.0956805a
5
u + 0.216734a
4
u + ··· − 1.13727a + 0.922774
0.245483a
5
u − 0.468228a
4
u + ··· + 2.69335a + 1.75659
a
5
=
0.149803a
5
u − 0.684961a
4
u + ··· + 3.83062a + 0.833815
−0.245483a
5
u + 0.468228a
4
u + ··· − 2.69335a − 1.75659
a
10
=
1
0
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4u + 2
30
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
2
+ u + 1)
6
c
2
, c
6
(u
2
− u + 1)
6
c
3
, c
5
u
12
− 3u
11
+ 5u
9
+ 2u
8
− 3u
7
− 9u
6
− u
5
+ 10u
4
+ 2u
3
− 4u
2
+ 1
c
4
, c
10
, c
12
u
12
− u
11
− 2u
10
+ 3u
9
− 3u
7
+ u
6
+ u
5
+ 1
c
7
, c
9
, c
11
u
12
+ 5u
11
+ 10u
10
+ 13u
9
+ 16u
8
+ 15u
7
+ 9u
6
+ 5u
5
− 2u
3
+ 1
c
8
u
12
+ 5u
11
+ ··· − 14u
3
+ 1
31
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
(y
2
+ y + 1)
6
c
3
, c
5
y
12
− 9y
11
+ ··· − 8y + 1
c
4
, c
10
, c
12
y
12
− 5y
11
+ 10y
10
− 13y
9
+ 16y
8
− 15y
7
+ 9y
6
− 5y
5
+ 2y
3
+ 1
c
7
, c
9
, c
11
y
12
− 5y
11
+ ··· + 14y
3
+ 1
c
8
y
12
− 21y
11
+ ··· + 104y
2
+ 1
32
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = 0.949962 + 0.143883I
b = 0.308364 + 0.675304I
− 2.02988I 0. + 3.46410I
u = −0.500000 + 0.866025I
a = −0.371048 + 0.067739I
b = −0.515160 + 0.230998I
− 2.02988I 0. + 3.46410I
u = −0.500000 + 0.866025I
a = 1.63642 + 0.82261I
b = 1.41623 − 0.24154I
− 2.02988I 0. + 3.46410I
u = −0.500000 + 0.866025I
a = 0.96730 + 1.76069I
b = 1.59474 + 0.15052I
− 2.02988I 0. + 3.46410I
u = −0.500000 + 0.866025I
a = 2.12452 + 1.26649I
b = 0.056726 − 0.962344I
− 2.02988I 0. + 3.46410I
u = −0.500000 + 0.866025I
a = −2.80716 − 1.46333I
b = −0.360901 + 1.013090I
− 2.02988I 0. + 3.46410I
u = −0.500000 − 0.866025I
a = 0.949962 − 0.143883I
b = 0.308364 − 0.675304I
2.02988I 0. − 3.46410I
u = −0.500000 − 0.866025I
a = −0.371048 − 0.067739I
b = −0.515160 − 0.230998I
2.02988I 0. − 3.46410I
u = −0.500000 − 0.866025I
a = 1.63642 − 0.82261I
b = 1.41623 + 0.24154I
2.02988I 0. − 3.46410I
u = −0.500000 − 0.866025I
a = 0.96730 − 1.76069I
b = 1.59474 − 0.15052I
2.02988I 0. − 3.46410I
33
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 − 0.866025I
a = 2.12452 − 1.26649I
b = 0.056726 + 0.962344I
2.02988I 0. − 3.46410I
u = −0.500000 − 0.866025I
a = −2.80716 + 1.46333I
b = −0.360901 − 1.013090I
2.02988I 0. − 3.46410I
34
IV. I
u
4
= hb + u + 1, a + u + 2, u
2
+ u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
−u − 1
a
3
=
u
u + 1
a
1
=
1
0
a
12
=
−u − 2
−u − 1
a
11
=
−1
−u − 1
a
8
=
−u
−u
a
9
=
−2u
−u
a
4
=
−3u − 2
−u
a
5
=
2u + 2
u
a
10
=
1
0
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4u + 2
35
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
10
c
12
u
2
+ u + 1
c
2
, c
6
, c
7
c
8
, c
9
, c
11
u
2
− u + 1
c
3
, c
5
u
2
+ 3u + 3
36
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
c
6
, c
7
, c
8
c
9
, c
10
, c
11
c
12
y
2
+ y + 1
c
3
, c
5
y
2
− 3y + 9
37
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = −1.50000 − 0.86603I
b = −0.500000 − 0.866025I
− 2.02988I 0. + 3.46410I
u = −0.500000 − 0.866025I
a = −1.50000 + 0.86603I
b = −0.500000 + 0.866025I
2.02988I 0. − 3.46410I
38
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
+ u + 1)
7
)(u
42
− 18u
41
+ ··· − 16u + 1)
· (u
150
+ 60u
149
+ ··· + 4386912u + 179776)
c
2
((u
2
− u + 1)
7
)(u
42
+ 2u
41
+ ··· + 8u
2
+ 1)
· (u
150
+ 4u
149
+ ··· + 3712u + 424)
c
3
(u
2
+ 3u + 3)
· (u
12
− 3u
11
+ 5u
9
+ 2u
8
− 3u
7
− 9u
6
− u
5
+ 10u
4
+ 2u
3
− 4u
2
+ 1)
· (u
42
− 5u
40
+ ··· − u + 1)(u
150
+ u
149
+ ··· + 3141u + 999)
c
4
(u
2
+ u + 1)(u
12
− u
11
− 2u
10
+ 3u
9
− 3u
7
+ u
6
+ u
5
+ 1)
· (u
42
− 15u
40
+ ··· + 4u + 1)(u
150
− u
149
+ ··· − 106584u + 13207)
c
5
(u
2
+ 3u + 3)
· (u
12
− 3u
11
+ 5u
9
+ 2u
8
− 3u
7
− 9u
6
− u
5
+ 10u
4
+ 2u
3
− 4u
2
+ 1)
· (u
42
− 8u
41
+ ··· − 330u + 47)
· (u
150
− 5u
149
+ ··· − 8572569048u + 1134809017)
c
6
((u
2
− u + 1)
7
)(u
42
− 2u
41
+ ··· + 8u
2
+ 1)
· (u
150
+ 4u
149
+ ··· + 3712u + 424)
c
7
(u
2
− u + 1)
· (u
12
+ 5u
11
+ 10u
10
+ 13u
9
+ 16u
8
+ 15u
7
+ 9u
6
+ 5u
5
− 2u
3
+ 1)
· (u
42
− 2u
41
+ ··· + 6u + 1)(u
150
− 3u
149
+ ··· + 655668u + 223897)
c
8
(u
2
− u + 1)(u
12
+ 5u
11
+ ··· − 14u
3
+ 1)(u
42
− 14u
40
+ ··· + 7u + 1)
· (u
150
− 9u
149
+ ··· + 12351u + 1427)
c
9
(u
2
− u + 1)
· (u
12
+ 5u
11
+ 10u
10
+ 13u
9
+ 16u
8
+ 15u
7
+ 9u
6
+ 5u
5
− 2u
3
+ 1)
· (u
42
− 6u
41
+ ··· + 4u + 1)(u
150
− 17u
149
+ ··· − 14918u + 1267)
c
10
(u
2
+ u + 1)(u
12
− u
11
− 2u
10
+ 3u
9
− 3u
7
+ u
6
+ u
5
+ 1)
· (u
42
− 15u
40
+ ··· − 4u + 1)(u
150
− u
149
+ ··· − 106584u + 13207)
c
11
(u
2
− u + 1)
· (u
12
+ 5u
11
+ 10u
10
+ 13u
9
+ 16u
8
+ 15u
7
+ 9u
6
+ 5u
5
− 2u
3
+ 1)
· (u
42
+ 2u
41
+ ··· − 6u + 1)(u
150
− 3u
149
+ ··· + 655668u + 223897)
c
12
(u
2
+ u + 1)(u
12
− u
11
− 2u
10
+ 3u
9
− 3u
7
+ u
6
+ u
5
+ 1)
· (u
42
− 2u
41
+ ··· + 4u
2
+ 1)(u
150
+ 13u
149
+ ··· + 14298u + 1369)
39
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
7
)(y
42
+ 10y
41
+ ··· + 28y + 1)
· (y
150
+ 52y
149
+ ··· + 1711720099328y + 32319410176)
c
2
, c
6
((y
2
+ y + 1)
7
)(y
42
+ 18y
41
+ ··· + 16y + 1)
· (y
150
+ 60y
149
+ ··· + 4386912y + 179776)
c
3
(y
2
− 3y + 9)(y
12
− 9y
11
+ ··· − 8y + 1)(y
42
− 10y
41
+ ··· + 5y + 1)
· (y
150
− 17y
149
+ ··· − 155034567y + 998001)
c
4
, c
10
(y
2
+ y + 1)
· (y
12
− 5y
11
+ 10y
10
− 13y
9
+ 16y
8
− 15y
7
+ 9y
6
− 5y
5
+ 2y
3
+ 1)
· (y
42
− 30y
41
+ ··· − 46y + 1)
· (y
150
− 125y
149
+ ··· + 19096275918y + 174424849)
c
5
(y
2
− 3y + 9)(y
12
− 9y
11
+ ··· − 8y + 1)
· (y
42
+ 4y
41
+ ··· − 10388y + 2209)
· (y
150
− 35y
149
+ ··· − 7.46 × 10
19
y + 1.29 × 10
18
)
c
7
, c
11
(y
2
+ y + 1)(y
12
− 5y
11
+ ··· + 14y
3
+ 1)(y
42
+ 20y
41
+ ··· + 32y + 1)
· (y
150
+ 105y
149
+ ··· + 298851072020y + 50129866609)
c
8
(y
2
+ y + 1)(y
12
− 21y
11
+ ··· + 104y
2
+ 1)(y
42
− 28y
41
+ ··· + 5y + 1)
· (y
150
+ y
149
+ ··· − 5825915y + 2036329)
c
9
(y
2
+ y + 1)(y
12
− 5y
11
+ ··· + 14y
3
+ 1)(y
42
− 20y
41
+ ··· + 14y + 1)
· (y
150
− 27y
149
+ ··· + 113839242y + 1605289)
c
12
(y
2
+ y + 1)
· (y
12
− 5y
11
+ 10y
10
− 13y
9
+ 16y
8
− 15y
7
+ 9y
6
− 5y
5
+ 2y
3
+ 1)
· (y
42
− 6y
41
+ ··· + 8y + 1)
· (y
150
+ 27y
149
+ ··· + 47287964y + 1874161)
40
