12a
1098
(K12a
1098
)
A knot diagram
1
Linearized knot diagam
4 7 11 8 12 3 10 1 6 2 9 5
Solving Sequence
2,7 3,10
8 11 4 1 6 9 12 5
c
2
c
7
c
10
c
3
c
1
c
6
c
9
c
11
c
5
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.26039 × 10
1096
u
194
− 5.54845 × 10
1096
u
193
+ ··· + 8.23984 × 10
1095
b + 9.42064 × 10
1099
,
2.37059 × 10
1099
u
194
− 6.13693 × 10
1099
u
193
+ ··· + 4.63779 × 10
1099
a − 5.55624 × 10
1103
,
u
195
− 4u
194
+ ··· + 113416u − 11257i
I
u
2
= h1.09077 × 10
50
u
48
− 2.47702 × 10
51
u
47
+ ··· + 9.36422 × 10
50
b + 5.62660 × 10
51
,
− 2.12833 × 10
51
u
48
+ 2.10958 × 10
51
u
47
+ ··· + 2.34105 × 10
51
a − 1.43194 × 10
51
, u
49
− u
48
+ ··· + u − 1i
* 2 irreducible components of dim
C
= 0, with total 244 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
= h1.26 × 10
1096
u
194
− 5.55 × 10
1096
u
193
+ · · · + 8.24 × 10
1095
b + 9.42 ×
10
1099
, 2.37 × 10
1099
u
194
− 6.14 × 10
1099
u
193
+ · · · + 4.64 × 10
1099
a − 5.56 ×
10
1103
, u
195
− 4u
194
+ · · · + 113416u − 11257i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
10
=
−0.511146u
194
+ 1.32324u
193
+ ··· − 111315.u + 11980.3
−1.52962u
194
+ 6.73368u
193
+ ··· + 145905.u − 11433.0
a
8
=
−1.47117u
194
+ 4.65577u
193
+ ··· − 211659.u + 23522.7
−0.673752u
194
+ 3.08530u
193
+ ··· + 111463.u − 9696.62
a
11
=
1.01848u
194
− 5.41044u
193
+ ··· − 257220.u + 23413.4
−1.52962u
194
+ 6.73368u
193
+ ··· + 145905.u − 11433.0
a
4
=
0.586225u
194
− 1.53369u
193
+ ··· + 165820.u − 17237.5
−1.34404u
194
+ 5.86482u
193
+ ··· + 77525.5u − 5505.19
a
1
=
0.151020u
194
− 0.597552u
193
+ ··· + 44952.6u − 4866.48
0.439914u
194
− 1.61276u
193
+ ··· − 25671.4u + 1685.20
a
6
=
u
u
3
+ u
a
9
=
0.120201u
194
− 1.70426u
193
+ ··· − 233869.u + 22632.2
−1.08301u
194
+ 4.59774u
193
+ ··· + 87405.6u − 6433.53
a
12
=
−0.394897u
194
+ 2.63210u
193
+ ··· + 215956.u − 21265.2
−0.0681673u
194
+ 0.197496u
193
+ ··· − 22256.9u + 2233.41
a
5
=
1.97245u
194
− 7.45707u
193
+ ··· − 14130.9u − 2521.77
−0.169214u
194
+ 0.611793u
193
+ ··· − 22516.2u + 2913.54
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.69583u
194
+ 0.189744u
193
+ ··· − 1.88279 × 10
6
u + 187667.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
195
− 16u
194
+ ··· − 2141u + 88
c
2
, c
6
u
195
+ 4u
194
+ ··· + 113416u + 11257
c
3
u
195
− 3u
194
+ ··· + 217741u + 10918
c
4
u
195
+ 4u
194
+ ··· + 51821u + 2894
c
5
, c
12
u
195
− 3u
194
+ ··· + 23431u + 1133
c
7
u
195
+ 11u
194
+ ··· + 218148168u + 31728989
c
8
2(2u
195
+ 7u
194
+ ··· − 49u + 5)
c
9
2(2u
195
− 9u
194
+ ··· − 5.76855 × 10
7
u + 4.42253 × 10
7
)
c
10
2(2u
195
+ 25u
194
+ ··· + 1.02982 × 10
7
u + 574285)
c
11
u
195
+ 8u
194
+ ··· + 12939u + 1819
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
195
+ 62y
194
+ ··· − 185895y −7744
c
2
, c
6
y
195
+ 116y
194
+ ··· − 6845116264y −126720049
c
3
y
195
+ 45y
194
+ ··· + 993877489y −119202724
c
4
y
195
− 28y
194
+ ··· + 583712209y −8375236
c
5
, c
12
y
195
+ 147y
194
+ ··· + 20891003y −1283689
c
7
y
195
+ 9y
194
+ ··· − 60843014639712268y −1006728742962121
c
8
4(4y
195
− 73y
194
+ ··· + 211y −25)
c
9
4
· (4y
195
− 261y
194
+ ··· + 8953659438498701y −1955874418122361)
c
10
4(4y
195
+ 159y
194
+ ··· + 1.74880 × 10
13
y −3.29803 × 10
11
)
c
11
y
195
− 42y
194
+ ··· − 2071600293y −3308761
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.229847 + 0.974311I
a = 0.30308 + 1.40779I
b = 0.55537 − 1.33039I
−1.80544 + 4.08060I 0
u = −0.229847 − 0.974311I
a = 0.30308 − 1.40779I
b = 0.55537 + 1.33039I
−1.80544 − 4.08060I 0
u = −0.635598 + 0.766858I
a = 0.175078 − 0.073876I
b = −0.615392 − 1.058350I
−4.27809 − 4.36087I 0
u = −0.635598 − 0.766858I
a = 0.175078 + 0.073876I
b = −0.615392 + 1.058350I
−4.27809 + 4.36087I 0
u = −0.213608 + 0.982090I
a = −0.284603 + 0.247759I
b = −1.11742 − 1.69158I
−2.58548 + 5.44227I 0
u = −0.213608 − 0.982090I
a = −0.284603 − 0.247759I
b = −1.11742 + 1.69158I
−2.58548 − 5.44227I 0
u = 0.044460 + 1.009420I
a = −1.76948 + 0.19269I
b = −0.775797 − 0.693267I
1.66899 − 5.60569I 0
u = 0.044460 − 1.009420I
a = −1.76948 − 0.19269I
b = −0.775797 + 0.693267I
1.66899 + 5.60569I 0
u = 0.081752 + 1.008600I
a = 1.42458 + 1.07381I
b = 0.352065 − 0.913459I
3.96016 + 0.37043I 0
u = 0.081752 − 1.008600I
a = 1.42458 − 1.07381I
b = 0.352065 + 0.913459I
3.96016 − 0.37043I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.340357 + 0.927028I
a = 0.99354 − 1.55193I
b = 0.153232 − 0.041064I
−3.83954 + 6.18863I 0
u = −0.340357 − 0.927028I
a = 0.99354 + 1.55193I
b = 0.153232 + 0.041064I
−3.83954 − 6.18863I 0
u = −0.949863 + 0.352493I
a = 0.331428 + 0.731583I
b = −0.145725 + 0.629283I
−1.59057 + 0.63800I 0
u = −0.949863 − 0.352493I
a = 0.331428 − 0.731583I
b = −0.145725 − 0.629283I
−1.59057 − 0.63800I 0
u = 0.985579 + 0.005049I
a = 0.820488 + 0.440894I
b = 0.875081 + 0.811497I
−3.41252 − 2.70500I 0
u = 0.985579 − 0.005049I
a = 0.820488 − 0.440894I
b = 0.875081 − 0.811497I
−3.41252 + 2.70500I 0
u = −0.279959 + 0.939793I
a = −0.482096 − 0.337591I
b = −1.94105 − 0.40614I
1.84118 + 6.62127I 0
u = −0.279959 − 0.939793I
a = −0.482096 + 0.337591I
b = −1.94105 + 0.40614I
1.84118 − 6.62127I 0
u = −0.956595 + 0.206169I
a = 0.488973 + 1.095580I
b = 0.690719 + 0.974454I
−0.50653 − 4.70693I 0
u = −0.956595 − 0.206169I
a = 0.488973 − 1.095580I
b = 0.690719 − 0.974454I
−0.50653 + 4.70693I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.215211 + 1.000710I
a = −1.101110 + 0.746345I
b = −1.71977 + 0.31148I
−2.79903 − 1.55519I 0
u = 0.215211 − 1.000710I
a = −1.101110 − 0.746345I
b = −1.71977 − 0.31148I
−2.79903 + 1.55519I 0
u = −0.151109 + 1.016340I
a = 0.89528 − 1.95590I
b = −0.218993 + 0.567699I
3.11920 + 5.88513I 0
u = −0.151109 − 1.016340I
a = 0.89528 + 1.95590I
b = −0.218993 − 0.567699I
3.11920 − 5.88513I 0
u = 0.842804 + 0.455707I
a = −0.344177 + 1.272260I
b = −0.84360 + 1.17309I
−2.98538 + 5.10576I 0
u = 0.842804 − 0.455707I
a = −0.344177 − 1.272260I
b = −0.84360 − 1.17309I
−2.98538 − 5.10576I 0
u = −0.998905 + 0.299241I
a = 0.700680 − 1.097540I
b = 0.581880 − 0.818240I
−0.77731 + 7.34371I 0
u = −0.998905 − 0.299241I
a = 0.700680 + 1.097540I
b = 0.581880 + 0.818240I
−0.77731 − 7.34371I 0
u = 0.463041 + 0.837478I
a = 1.32810 + 0.70895I
b = −0.040835 + 1.061810I
0.80944 + 4.01559I 0
u = 0.463041 − 0.837478I
a = 1.32810 − 0.70895I
b = −0.040835 − 1.061810I
0.80944 − 4.01559I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.005129 + 0.954379I
a = −1.41357 − 0.26872I
b = −0.347241 + 0.838567I
3.55479 − 0.87622I 0
u = 0.005129 − 0.954379I
a = −1.41357 + 0.26872I
b = −0.347241 − 0.838567I
3.55479 + 0.87622I 0
u = −0.910905 + 0.261615I
a = 1.208150 + 0.557838I
b = 0.843854 + 0.550938I
−5.82793 − 1.97974I 0
u = −0.910905 − 0.261615I
a = 1.208150 − 0.557838I
b = 0.843854 − 0.550938I
−5.82793 + 1.97974I 0
u = −0.352869 + 0.999237I
a = 1.309980 + 0.124605I
b = 1.123490 − 0.168123I
−2.66413 + 5.29690I 0
u = −0.352869 − 0.999237I
a = 1.309980 − 0.124605I
b = 1.123490 + 0.168123I
−2.66413 − 5.29690I 0
u = 0.326697 + 1.014140I
a = 0.561261 − 0.508035I
b = 1.94125 − 0.64929I
−2.65706 − 12.16010I 0
u = 0.326697 − 1.014140I
a = 0.561261 + 0.508035I
b = 1.94125 + 0.64929I
−2.65706 + 12.16010I 0
u = 0.926967 + 0.113254I
a = −0.184218 + 0.754293I
b = 0.311515 + 0.714463I
−0.528284 − 0.958478I 0
u = 0.926967 − 0.113254I
a = −0.184218 − 0.754293I
b = 0.311515 − 0.714463I
−0.528284 + 0.958478I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.193536 + 1.054740I
a = 0.032676 + 0.585986I
b = 1.71292 + 1.77353I
−0.939947 − 0.000035I 0
u = −0.193536 − 1.054740I
a = 0.032676 − 0.585986I
b = 1.71292 − 1.77353I
−0.939947 + 0.000035I 0
u = 0.334551 + 1.021810I
a = −0.486973 − 0.143961I
b = −0.697169 + 0.461883I
1.55837 − 2.94938I 0
u = 0.334551 − 1.021810I
a = −0.486973 + 0.143961I
b = −0.697169 − 0.461883I
1.55837 + 2.94938I 0
u = 0.623008 + 0.662516I
a = 0.100188 − 0.348881I
b = 0.984468 − 0.203862I
−2.15925 − 1.04139I 0
u = 0.623008 − 0.662516I
a = 0.100188 + 0.348881I
b = 0.984468 + 0.203862I
−2.15925 + 1.04139I 0
u = 0.188072 + 0.885745I
a = 0.18189 − 3.35363I
b = 0.445617 + 0.277728I
−3.11330 − 10.34180I 0
u = 0.188072 − 0.885745I
a = 0.18189 + 3.35363I
b = 0.445617 − 0.277728I
−3.11330 + 10.34180I 0
u = −0.135708 + 0.881152I
a = 0.817279 + 0.782255I
b = 1.55399 − 0.16843I
−0.893570 + 0.937338I 0
u = −0.135708 − 0.881152I
a = 0.817279 − 0.782255I
b = 1.55399 + 0.16843I
−0.893570 − 0.937338I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.109500 + 0.139095I
a = −0.733889 + 1.065730I
b = −0.714813 + 0.933276I
−4.29066 + 5.83447I 0
u = 1.109500 − 0.139095I
a = −0.733889 − 1.065730I
b = −0.714813 − 0.933276I
−4.29066 − 5.83447I 0
u = −1.119570 + 0.106898I
a = −0.617179 − 0.802897I
b = −0.756292 − 0.934165I
0.78469 − 9.60406I 0
u = −1.119570 − 0.106898I
a = −0.617179 + 0.802897I
b = −0.756292 + 0.934165I
0.78469 + 9.60406I 0
u = 0.846829 + 0.209085I
a = −0.731495 + 0.502899I
b = −0.530183 − 0.112186I
−1.33087 − 0.72319I 0
u = 0.846829 − 0.209085I
a = −0.731495 − 0.502899I
b = −0.530183 + 0.112186I
−1.33087 + 0.72319I 0
u = 0.018353 + 0.866884I
a = 0.556628 + 0.523527I
b = 1.70481 − 0.51962I
−0.751573 + 0.863225I 0
u = 0.018353 − 0.866884I
a = 0.556628 − 0.523527I
b = 1.70481 + 0.51962I
−0.751573 − 0.863225I 0
u = −0.679044 + 0.533411I
a = 0.47379 + 1.50522I
b = 0.842970 + 0.400250I
−4.49809 − 1.53846I 0
u = −0.679044 − 0.533411I
a = 0.47379 − 1.50522I
b = 0.842970 − 0.400250I
−4.49809 + 1.53846I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.083240 + 0.346377I
a = 0.191066 + 0.952447I
b = 0.513660 + 1.092630I
−0.76440 − 5.39606I 0
u = −1.083240 − 0.346377I
a = 0.191066 − 0.952447I
b = 0.513660 − 1.092630I
−0.76440 + 5.39606I 0
u = 0.442759 + 0.739069I
a = −1.21870 + 1.35018I
b = −1.334780 − 0.103594I
−5.38476 − 1.87072I 0
u = 0.442759 − 0.739069I
a = −1.21870 − 1.35018I
b = −1.334780 + 0.103594I
−5.38476 + 1.87072I 0
u = 1.136230 + 0.150504I
a = 0.678927 − 0.928671I
b = 0.784452 − 1.006980I
−3.9314 + 15.3997I 0
u = 1.136230 − 0.150504I
a = 0.678927 + 0.928671I
b = 0.784452 + 1.006980I
−3.9314 − 15.3997I 0
u = −0.153559 + 0.829785I
a = 0.56388 + 1.32275I
b = 1.27739 − 0.74715I
−0.980231 + 0.971067I 0
u = −0.153559 − 0.829785I
a = 0.56388 − 1.32275I
b = 1.27739 + 0.74715I
−0.980231 − 0.971067I 0
u = 0.307891 + 0.782104I
a = 2.23721 − 0.81181I
b = 1.031530 − 0.280647I
−3.18370 + 7.94529I 0
u = 0.307891 − 0.782104I
a = 2.23721 + 0.81181I
b = 1.031530 + 0.280647I
−3.18370 − 7.94529I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.367754 + 0.750622I
a = 0.619310 − 0.632085I
b = 0.103268 + 1.395740I
0.21899 − 3.47149I 0
u = 0.367754 − 0.750622I
a = 0.619310 + 0.632085I
b = 0.103268 − 1.395740I
0.21899 + 3.47149I 0
u = 0.449827 + 0.704123I
a = −1.49036 + 0.95298I
b = −1.184490 + 0.057036I
−5.39959 − 1.93014I 0
u = 0.449827 − 0.704123I
a = −1.49036 − 0.95298I
b = −1.184490 − 0.057036I
−5.39959 + 1.93014I 0
u = 0.388291 + 0.733947I
a = −1.11660 + 1.74454I
b = −0.845393 − 0.215975I
−5.34851 − 1.73934I 0
u = 0.388291 − 0.733947I
a = −1.11660 − 1.74454I
b = −0.845393 + 0.215975I
−5.34851 + 1.73934I 0
u = −0.165308 + 0.810412I
a = 0.56082 + 1.75127I
b = 0.882583 − 0.457074I
−1.02632 + 0.98406I 0
u = −0.165308 − 0.810412I
a = 0.56082 − 1.75127I
b = 0.882583 + 0.457074I
−1.02632 − 0.98406I 0
u = 0.510817 + 0.641566I
a = −1.25258 − 0.84716I
b = −0.685795 − 0.555487I
1.66372 − 4.31307I 0
u = 0.510817 − 0.641566I
a = −1.25258 + 0.84716I
b = −0.685795 + 0.555487I
1.66372 + 4.31307I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.178310 + 0.184999I
a = −0.332329 + 0.562029I
b = −0.395717 + 0.845977I
0.08757 + 1.83094I 0
u = 1.178310 − 0.184999I
a = −0.332329 − 0.562029I
b = −0.395717 − 0.845977I
0.08757 − 1.83094I 0
u = −0.372361 + 1.149840I
a = −0.878604 + 0.187577I
b = −0.153649 + 0.984248I
4.10607 − 0.82015I 0
u = −0.372361 − 1.149840I
a = −0.878604 − 0.187577I
b = −0.153649 − 0.984248I
4.10607 + 0.82015I 0
u = −0.506388 + 1.097430I
a = 1.324170 + 0.324307I
b = 1.048280 − 0.866838I
−2.63620 + 6.15137I 0
u = −0.506388 − 1.097430I
a = 1.324170 − 0.324307I
b = 1.048280 + 0.866838I
−2.63620 − 6.15137I 0
u = −0.210718 + 1.200420I
a = −1.93286 − 0.95517I
b = −0.302380 + 0.548108I
−0.11642 + 10.43800I 0
u = −0.210718 − 1.200420I
a = −1.93286 + 0.95517I
b = −0.302380 − 0.548108I
−0.11642 − 10.43800I 0
u = 0.137406 + 0.761054I
a = 0.06117 + 2.33645I
b = −1.030270 − 0.538505I
−3.73260 − 0.24421I 0
u = 0.137406 − 0.761054I
a = 0.06117 − 2.33645I
b = −1.030270 + 0.538505I
−3.73260 + 0.24421I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.479556 + 0.605344I
a = −1.153710 − 0.634733I
b = −0.004544 + 1.319820I
−4.64115 + 8.81274I 0
u = −0.479556 − 0.605344I
a = −1.153710 + 0.634733I
b = −0.004544 − 1.319820I
−4.64115 − 8.81274I 0
u = 0.299411 + 1.236170I
a = −0.748937 + 0.304351I
b = −1.07207 − 1.58322I
6.31344 − 6.96124I 0
u = 0.299411 − 1.236170I
a = −0.748937 − 0.304351I
b = −1.07207 + 1.58322I
6.31344 + 6.96124I 0
u = −0.052808 + 1.271950I
a = 0.278427 + 0.256074I
b = 0.906983 − 0.694726I
0.431813 − 1.106830I 0
u = −0.052808 − 1.271950I
a = 0.278427 − 0.256074I
b = 0.906983 + 0.694726I
0.431813 + 1.106830I 0
u = 0.354885 + 1.224060I
a = 1.086860 − 0.149759I
b = 0.87940 + 1.63490I
4.45659 + 0.15218I 0
u = 0.354885 − 1.224060I
a = 1.086860 + 0.149759I
b = 0.87940 − 1.63490I
4.45659 − 0.15218I 0
u = 0.633338 + 0.350421I
a = 1.379980 − 0.182928I
b = 0.817694 + 0.991932I
−2.86630 − 3.64019I 0
u = 0.633338 − 0.350421I
a = 1.379980 + 0.182928I
b = 0.817694 − 0.991932I
−2.86630 + 3.64019I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.577370 + 1.140060I
a = −1.42478 + 0.29961I
b = −0.92725 − 1.54153I
−0.80504 − 10.41690I 0
u = 0.577370 − 1.140060I
a = −1.42478 − 0.29961I
b = −0.92725 + 1.54153I
−0.80504 + 10.41690I 0
u = −0.368101 + 1.226320I
a = −1.080950 − 0.415193I
b = −0.89686 + 1.37051I
7.49769 + 3.89385I 0
u = −0.368101 − 1.226320I
a = −1.080950 + 0.415193I
b = −0.89686 − 1.37051I
7.49769 − 3.89385I 0
u = −0.139441 + 0.700337I
a = 0.203060 − 1.058000I
b = 0.28403 + 1.68291I
−3.51779 − 3.48385I 0
u = −0.139441 − 0.700337I
a = 0.203060 + 1.058000I
b = 0.28403 − 1.68291I
−3.51779 + 3.48385I 0
u = 1.272620 + 0.222164I
a = 0.251473 − 0.258741I
b = 0.476464 − 0.306762I
−2.99459 + 0.12417I 0
u = 1.272620 − 0.222164I
a = 0.251473 + 0.258741I
b = 0.476464 + 0.306762I
−2.99459 − 0.12417I 0
u = −0.226214 + 0.666099I
a = 0.480709 + 0.585526I
b = 1.20437 + 0.85048I
−2.70083 − 1.84377I 0
u = −0.226214 − 0.666099I
a = 0.480709 − 0.585526I
b = 1.20437 − 0.85048I
−2.70083 + 1.84377I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.362697 + 1.248230I
a = 1.13143 − 0.89815I
b = 0.866124 + 1.034900I
1.58429 − 7.17628I 0
u = 0.362697 − 1.248230I
a = 1.13143 + 0.89815I
b = 0.866124 − 1.034900I
1.58429 + 7.17628I 0
u = −1.262870 + 0.334599I
a = −0.428168 − 0.197736I
b = −0.499047 − 0.318651I
−7.77382 + 5.70633I 0
u = −1.262870 − 0.334599I
a = −0.428168 + 0.197736I
b = −0.499047 + 0.318651I
−7.77382 − 5.70633I 0
u = −0.494471 + 1.212680I
a = 1.162890 + 0.768592I
b = 0.848949 − 0.746215I
−2.80980 + 7.06401I 0
u = −0.494471 − 1.212680I
a = 1.162890 − 0.768592I
b = 0.848949 + 0.746215I
−2.80980 − 7.06401I 0
u = 0.576452 + 1.178660I
a = −0.536668 + 0.005522I
b = 0.153852 − 0.581480I
0.11515 − 2.22983I 0
u = 0.576452 − 1.178660I
a = −0.536668 − 0.005522I
b = 0.153852 + 0.581480I
0.11515 + 2.22983I 0
u = 0.110893 + 1.309760I
a = 0.83843 − 1.28027I
b = 0.105652 + 0.712097I
5.85335 − 4.03857I 0
u = 0.110893 − 1.309760I
a = 0.83843 + 1.28027I
b = 0.105652 − 0.712097I
5.85335 + 4.03857I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.623896 + 1.159380I
a = −1.079530 − 0.457573I
b = −0.305937 − 1.331450I
2.59358 − 8.76112I 0
u = 0.623896 − 1.159380I
a = −1.079530 + 0.457573I
b = −0.305937 + 1.331450I
2.59358 + 8.76112I 0
u = −0.426208 + 0.527754I
a = −1.22790 + 1.38094I
b = −0.634378 + 0.090765I
−4.89355 − 2.86718I 0
u = −0.426208 − 0.527754I
a = −1.22790 − 1.38094I
b = −0.634378 − 0.090765I
−4.89355 + 2.86718I 0
u = 0.326129 + 1.283490I
a = −1.093660 + 0.170774I
b = −0.181131 − 0.489329I
3.23059 − 3.12658I 0
u = 0.326129 − 1.283490I
a = −1.093660 − 0.170774I
b = −0.181131 + 0.489329I
3.23059 + 3.12658I 0
u = −0.644197 + 0.200716I
a = −0.88078 + 1.13185I
b = −0.490297 + 0.900541I
3.46263 + 0.22284I 0
u = −0.644197 − 0.200716I
a = −0.88078 − 1.13185I
b = −0.490297 − 0.900541I
3.46263 − 0.22284I 0
u = 0.642104 + 0.207298I
a = 0.68091 + 1.71487I
b = 0.308661 + 0.979102I
0.37407 + 3.74845I 0
u = 0.642104 − 0.207298I
a = 0.68091 − 1.71487I
b = 0.308661 − 0.979102I
0.37407 − 3.74845I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.259993 + 1.300060I
a = −0.156358 − 0.370591I
b = −0.361718 + 1.247940I
3.99196 + 4.44691I 0
u = −0.259993 − 1.300060I
a = −0.156358 + 0.370591I
b = −0.361718 − 1.247940I
3.99196 − 4.44691I 0
u = −0.636845 + 1.167840I
a = 0.831072 − 0.376574I
b = 0.075837 − 1.093130I
5.68797 + 4.80355I 0
u = −0.636845 − 1.167840I
a = 0.831072 + 0.376574I
b = 0.075837 + 1.093130I
5.68797 − 4.80355I 0
u = −0.219484 + 1.328130I
a = −0.750643 − 0.202419I
b = −0.185583 + 0.999627I
5.34455 − 1.34959I 0
u = −0.219484 − 1.328130I
a = −0.750643 + 0.202419I
b = −0.185583 − 0.999627I
5.34455 + 1.34959I 0
u = 0.395945 + 1.289550I
a = 0.595238 − 0.244193I
b = 0.55376 + 1.34863I
3.95036 − 5.48260I 0
u = 0.395945 − 1.289550I
a = 0.595238 + 0.244193I
b = 0.55376 − 1.34863I
3.95036 + 5.48260I 0
u = −0.394962 + 1.311720I
a = 0.970654 + 0.143863I
b = 1.06317 − 1.51083I
4.13157 + 11.88080I 0
u = −0.394962 − 1.311720I
a = 0.970654 − 0.143863I
b = 1.06317 + 1.51083I
4.13157 − 11.88080I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.553556 + 1.255890I
a = 1.232930 + 0.226818I
b = 0.94888 − 1.40156I
2.77894 + 10.18640I 0
u = −0.553556 − 1.255890I
a = 1.232930 − 0.226818I
b = 0.94888 + 1.40156I
2.77894 − 10.18640I 0
u = 0.384354 + 1.322650I
a = −0.746341 + 0.174150I
b = −0.808352 − 0.555650I
2.44037 − 3.90329I 0
u = 0.384354 − 1.322650I
a = −0.746341 − 0.174150I
b = −0.808352 + 0.555650I
2.44037 + 3.90329I 0
u = −0.628809 + 1.247520I
a = −0.805776 − 0.374540I
b = −0.696367 + 0.851964I
−4.72209 + 0.68037I 0
u = −0.628809 − 1.247520I
a = −0.805776 + 0.374540I
b = −0.696367 − 0.851964I
−4.72209 − 0.68037I 0
u = 0.592743 + 1.280260I
a = −0.939740 − 0.046938I
b = −0.558136 − 0.697709I
2.64763 − 4.39184I 0
u = 0.592743 − 1.280260I
a = −0.939740 + 0.046938I
b = −0.558136 + 0.697709I
2.64763 + 4.39184I 0
u = −0.65366 + 1.27170I
a = 1.136980 + 0.054923I
b = 0.67441 − 1.43205I
2.18738 + 11.66960I 0
u = −0.65366 − 1.27170I
a = 1.136980 − 0.054923I
b = 0.67441 + 1.43205I
2.18738 − 11.66960I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.58048 + 1.30852I
a = −1.322450 + 0.215495I
b = −1.07992 − 1.27686I
−0.61344 − 11.78460I 0
u = 0.58048 − 1.30852I
a = −1.322450 − 0.215495I
b = −1.07992 + 1.27686I
−0.61344 + 11.78460I 0
u = 0.58827 + 1.30589I
a = 0.773708 − 0.243526I
b = 0.858180 + 0.989293I
0.60484 − 6.35364I 0
u = 0.58827 − 1.30589I
a = 0.773708 + 0.243526I
b = 0.858180 − 0.989293I
0.60484 + 6.35364I 0
u = 0.53244 + 1.33872I
a = 0.899233 − 0.535014I
b = 0.86241 + 1.26024I
0.75870 − 8.17500I 0
u = 0.53244 − 1.33872I
a = 0.899233 + 0.535014I
b = 0.86241 − 1.26024I
0.75870 + 8.17500I 0
u = −1.42848 + 0.18982I
a = −0.275326 − 0.395570I
b = −0.369474 − 0.351096I
−7.54006 − 6.01896I 0
u = −1.42848 − 0.18982I
a = −0.275326 + 0.395570I
b = −0.369474 + 0.351096I
−7.54006 + 6.01896I 0
u = −0.57583 + 1.32388I
a = −1.124210 − 0.313311I
b = −0.94205 + 1.33809I
4.6052 + 15.5689I 0
u = −0.57583 − 1.32388I
a = −1.124210 + 0.313311I
b = −0.94205 − 1.33809I
4.6052 − 15.5689I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.310629 + 0.458457I
a = −0.61560 − 1.75299I
b = −0.752385 + 0.957594I
0.65813 − 3.78742I 0
u = −0.310629 − 0.458457I
a = −0.61560 + 1.75299I
b = −0.752385 − 0.957594I
0.65813 + 3.78742I 0
u = 0.59821 + 1.31905I
a = 1.238980 − 0.285148I
b = 0.99929 + 1.35594I
−0.2538 − 21.5084I 0
u = 0.59821 − 1.31905I
a = 1.238980 + 0.285148I
b = 0.99929 − 1.35594I
−0.2538 + 21.5084I 0
u = −0.462562 + 0.297552I
a = 1.02575 + 2.20517I
b = 0.243731 + 0.407486I
−4.45374 − 1.88808I 0
u = −0.462562 − 0.297552I
a = 1.02575 − 2.20517I
b = 0.243731 − 0.407486I
−4.45374 + 1.88808I 0
u = 0.26891 + 1.42620I
a = 0.417370 + 0.259720I
b = 0.201851 + 1.187590I
1.34723 + 0.60662I 0
u = 0.26891 − 1.42620I
a = 0.417370 − 0.259720I
b = 0.201851 − 1.187590I
1.34723 − 0.60662I 0
u = −0.70248 + 1.27394I
a = 0.967120 − 0.039615I
b = 0.473947 − 0.618860I
0.93876 + 5.52381I 0
u = −0.70248 − 1.27394I
a = 0.967120 + 0.039615I
b = 0.473947 + 0.618860I
0.93876 − 5.52381I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.29851 + 1.42421I
a = 0.448293 − 0.374327I
b = 0.101987 + 0.938016I
5.94885 − 3.34941I 0
u = 0.29851 − 1.42421I
a = 0.448293 + 0.374327I
b = 0.101987 − 0.938016I
5.94885 + 3.34941I 0
u = 0.59712 + 1.33150I
a = −0.979471 + 0.267124I
b = −0.634266 − 1.178940I
3.80062 − 8.07010I 0
u = 0.59712 − 1.33150I
a = −0.979471 − 0.267124I
b = −0.634266 + 1.178940I
3.80062 + 8.07010I 0
u = 0.15427 + 1.45226I
a = −0.169698 + 0.878937I
b = −0.231098 − 0.621990I
4.60019 − 4.07663I 0
u = 0.15427 − 1.45226I
a = −0.169698 − 0.878937I
b = −0.231098 + 0.621990I
4.60019 + 4.07663I 0
u = 0.265244 + 0.455280I
a = −0.488246 − 0.338092I
b = 0.436577 + 0.357347I
−0.73398 − 1.49888I 0
u = 0.265244 − 0.455280I
a = −0.488246 + 0.338092I
b = 0.436577 − 0.357347I
−0.73398 + 1.49888I 0
u = −0.62924 + 1.35231I
a = −0.875013 − 0.176121I
b = −0.901093 + 0.891946I
−3.65305 + 12.79600I 0
u = −0.62924 − 1.35231I
a = −0.875013 + 0.176121I
b = −0.901093 − 0.891946I
−3.65305 − 12.79600I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.011579 + 0.503771I
a = −2.22896 − 0.84535I
b = −0.882161 − 0.522619I
1.69153 − 4.45056I 0
u = 0.011579 − 0.503771I
a = −2.22896 + 0.84535I
b = −0.882161 + 0.522619I
1.69153 + 4.45056I 0
u = −0.48820 + 1.44425I
a = −0.643416 + 0.308013I
b = −0.413515 + 1.001360I
2.99696 − 0.87405I 0
u = −0.48820 − 1.44425I
a = −0.643416 − 0.308013I
b = −0.413515 − 1.001360I
2.99696 + 0.87405I 0
u = 0.278459 + 0.384259I
a = 0.97840 − 2.67230I
b = 0.826515 + 0.977698I
−4.39607 + 9.22108I 0
u = 0.278459 − 0.384259I
a = 0.97840 + 2.67230I
b = 0.826515 − 0.977698I
−4.39607 − 9.22108I 0
u = −0.34033 + 1.49173I
a = 0.441383 − 0.026782I
b = −0.081675 − 0.794215I
6.19379 − 4.00888I 0
u = −0.34033 − 1.49173I
a = 0.441383 + 0.026782I
b = −0.081675 + 0.794215I
6.19379 + 4.00888I 0
u = 0.429968 + 0.166853I
a = −1.131500 − 0.474636I
b = 0.589030 − 0.513629I
−0.900359 + 0.184523I 0
u = 0.429968 − 0.166853I
a = −1.131500 + 0.474636I
b = 0.589030 + 0.513629I
−0.900359 − 0.184523I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.30686 + 1.51328I
a = −0.390550 − 0.151171I
b = 0.117648 − 0.934794I
1.77509 + 9.87081I 0
u = 0.30686 − 1.51328I
a = −0.390550 + 0.151171I
b = 0.117648 + 0.934794I
1.77509 − 9.87081I 0
u = 0.83420 + 1.34418I
a = 0.530296 + 0.380105I
b = 0.251483 + 0.637070I
2.66429 − 2.24040I 0
u = 0.83420 − 1.34418I
a = 0.530296 − 0.380105I
b = 0.251483 − 0.637070I
2.66429 + 2.24040I 0
u = 0.378757
a = −1.40842
b = 0.221544
−0.944907 −10.9120
24
II.
I
u
2
= h1.09×10
50
u
48
−2.48×10
51
u
47
+· · ·+9.36×10
50
b+5.63×10
51
, −2.13×
10
51
u
48
+2.11×10
51
u
47
+· · ·+2.34×10
51
a−1.43×10
51
, u
49
−u
48
+· · ·+u−1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
10
=
0.909133u
48
− 0.901122u
47
+ ··· + 8.28169u + 0.611665
−0.116483u
48
+ 2.64520u
47
+ ··· + 5.31523u − 6.00862
a
8
=
−6.75824u
48
+ 3.76581u
47
+ ··· + 17.3063u − 0.677026
0.291839u
48
− 4.15847u
47
+ ··· − 6.42113u + 4.65766
a
11
=
1.02562u
48
− 3.54632u
47
+ ··· + 2.96646u + 6.62028
−0.116483u
48
+ 2.64520u
47
+ ··· + 5.31523u − 6.00862
a
4
=
1.58587u
48
+ 2.47027u
47
+ ··· − 8.03438u − 4.11760
−5.36933u
48
+ 5.62418u
47
+ ··· + 10.8700u + 0.830989
a
1
=
−4.67629u
48
+ 6.49319u
47
+ ··· + 8.82716u − 6.92639
3.44387u
48
− 4.08605u
47
+ ··· − 6.69889u + 2.01104
a
6
=
u
u
3
+ u
a
9
=
0.755496u
48
− 1.87997u
47
+ ··· + 5.50709u + 3.98718
−0.130340u
48
+ 1.70431u
47
+ ··· + 3.51948u − 3.76558
a
12
=
−0.364427u
48
+ 6.80674u
47
+ ··· + 9.13874u − 4.70856
−0.937274u
48
+ 2.61591u
47
+ ··· + 8.29118u − 3.67247
a
5
=
14.4499u
48
− 17.3422u
47
+ ··· − 46.1752u + 7.81691
−1.63501u
48
+ 2.87456u
47
+ ··· + 4.36227u + 0.687865
(ii) Obstruction class = 1
(iii) Cusp Shapes = −28.5235u
48
+ 44.4612u
47
+ ··· + 72.8197u − 30.6786
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
49
− 3u
48
+ ··· + 125u − 16
c
2
u
49
− u
48
+ ··· + u − 1
c
3
u
49
+ 16u
47
+ ··· − 17u + 6
c
4
u
49
+ 3u
48
+ ··· − u − 6
c
5
u
49
+ 21u
47
+ ··· − 8u + 1
c
6
u
49
+ u
48
+ ··· + u + 1
c
7
u
49
− 12u
48
+ ··· + 165u − 5
c
8
2(2u
49
− u
48
+ ··· − 14u − 1)
c
9
2(2u
49
− 11u
48
+ ··· − 56u − 9)
c
10
2(2u
49
− 11u
48
+ ··· + 7u − 1)
c
11
u
49
+ 19u
48
+ ··· + 66u + 5
c
12
u
49
+ 21u
47
+ ··· − 8u − 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
49
+ 17y
48
+ ··· − 6711y −256
c
2
, c
6
y
49
+ 27y
48
+ ··· − 27y −1
c
3
y
49
+ 32y
48
+ ··· + 421y −36
c
4
y
49
− 5y
48
+ ··· + 205y −36
c
5
, c
12
y
49
+ 42y
48
+ ··· − 24y −1
c
7
y
49
− 20y
48
+ ··· + 12105y −25
c
8
4(4y
49
− 45y
48
+ ··· + 32y −1)
c
9
4(4y
49
− 73y
48
+ ··· + 3046y −81)
c
10
4(4y
49
− 5y
48
+ ··· − 43y −1)
c
11
y
49
− 23y
48
+ ··· + 136y −25
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.188959 + 0.981263I
a = −0.143520 + 0.549754I
b = −2.19733 + 1.11310I
−0.942663 − 0.159201I −22.5869 + 18.4049I
u = 0.188959 − 0.981263I
a = −0.143520 − 0.549754I
b = −2.19733 − 1.11310I
−0.942663 + 0.159201I −22.5869 − 18.4049I
u = −0.183744 + 0.965735I
a = 0.406272 − 0.785388I
b = 0.61408 + 1.55027I
−2.70027 + 5.07314I −14.2068 + 0.9096I
u = −0.183744 − 0.965735I
a = 0.406272 + 0.785388I
b = 0.61408 − 1.55027I
−2.70027 − 5.07314I −14.2068 − 0.9096I
u = −0.916701 + 0.347704I
a = 0.133869 + 1.209820I
b = 0.655333 + 1.101740I
−1.62968 − 5.55597I −11.46152 + 8.23802I
u = −0.916701 − 0.347704I
a = 0.133869 − 1.209820I
b = 0.655333 − 1.101740I
−1.62968 + 5.55597I −11.46152 − 8.23802I
u = 1.015600 + 0.105450I
a = −0.236161 + 0.518753I
b = 0.197731 + 0.715989I
0.329735 − 0.576007I −0.273875 − 0.907726I
u = 1.015600 − 0.105450I
a = −0.236161 − 0.518753I
b = 0.197731 − 0.715989I
0.329735 + 0.576007I −0.273875 + 0.907726I
u = −0.574235 + 0.858187I
a = 1.55403 − 0.46063I
b = 0.507295 − 0.731813I
−0.03318 + 6.36851I −8.00000 − 8.22142I
u = −0.574235 − 0.858187I
a = 1.55403 + 0.46063I
b = 0.507295 + 0.731813I
−0.03318 − 6.36851I −8.00000 + 8.22142I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.175274 + 0.863770I
a = −0.67843 + 1.46849I
b = −1.40852 − 0.54524I
−0.733049 − 0.941447I 13.11065 − 2.55502I
u = 0.175274 − 0.863770I
a = −0.67843 − 1.46849I
b = −1.40852 + 0.54524I
−0.733049 + 0.941447I 13.11065 + 2.55502I
u = −0.351709 + 0.790248I
a = 1.50059 + 1.93010I
b = 1.42594 − 0.11478I
−4.62288 + 1.60572I −9.53892 − 2.91137I
u = −0.351709 − 0.790248I
a = 1.50059 − 1.93010I
b = 1.42594 + 0.11478I
−4.62288 − 1.60572I −9.53892 + 2.91137I
u = −0.147081 + 0.804917I
a = 0.88940 − 1.29917I
b = 0.946314 − 0.007184I
2.17734 + 5.19829I −4.03795 − 7.60271I
u = −0.147081 − 0.804917I
a = 0.88940 + 1.29917I
b = 0.946314 + 0.007184I
2.17734 − 5.19829I −4.03795 + 7.60271I
u = 0.060289 + 0.789565I
a = −0.26086 − 2.68961I
b = −0.728877 + 0.387542I
−3.09221 − 9.64003I −8.07524 + 4.27006I
u = 0.060289 − 0.789565I
a = −0.26086 + 2.68961I
b = −0.728877 − 0.387542I
−3.09221 + 9.64003I −8.07524 − 4.27006I
u = −0.184376 + 1.225160I
a = −0.98325 − 1.03259I
b = −0.714989 + 0.219067I
−0.92145 + 10.01710I 0
u = −0.184376 − 1.225160I
a = −0.98325 + 1.03259I
b = −0.714989 − 0.219067I
−0.92145 − 10.01710I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.297501 + 0.697450I
a = −0.214720 + 0.608890I
b = −0.391206 − 1.126260I
−3.19753 − 2.97879I −9.24185 − 0.84704I
u = −0.297501 − 0.697450I
a = −0.214720 − 0.608890I
b = −0.391206 + 1.126260I
−3.19753 + 2.97879I −9.24185 + 0.84704I
u = 0.707864 + 0.017124I
a = −1.36238 − 0.64472I
b = −0.864672 − 0.871342I
−3.07012 − 3.12345I −15.0934 + 5.2189I
u = 0.707864 − 0.017124I
a = −1.36238 + 0.64472I
b = −0.864672 + 0.871342I
−3.07012 + 3.12345I −15.0934 − 5.2189I
u = 1.29515
a = −0.0354736
b = −0.294822
−2.82144 0
u = 0.636506 + 0.244611I
a = −0.755930 + 0.700498I
b = −0.821193 + 0.052728I
−2.39166 − 0.15754I −17.0178 − 0.4986I
u = 0.636506 − 0.244611I
a = −0.755930 − 0.700498I
b = −0.821193 − 0.052728I
−2.39166 + 0.15754I −17.0178 + 0.4986I
u = 0.299857 + 1.304520I
a = 0.432579 − 0.487710I
b = 0.540505 + 1.108750I
5.39975 − 4.96651I 0
u = 0.299857 − 1.304520I
a = 0.432579 + 0.487710I
b = 0.540505 − 1.108750I
5.39975 + 4.96651I 0
u = −0.598121 + 1.242950I
a = 1.246850 + 0.053188I
b = 0.84421 − 1.50043I
1.23890 + 11.22100I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.598121 − 1.242950I
a = 1.246850 − 0.053188I
b = 0.84421 + 1.50043I
1.23890 − 11.22100I 0
u = 0.517528 + 1.308160I
a = −0.980525 + 0.532462I
b = −0.86741 − 1.24623I
0.89107 − 8.02939I 0
u = 0.517528 − 1.308160I
a = −0.980525 − 0.532462I
b = −0.86741 + 1.24623I
0.89107 + 8.02939I 0
u = 0.05565 + 1.41379I
a = 0.042561 − 0.806234I
b = 0.283453 + 0.591147I
4.98689 − 4.40383I 0
u = 0.05565 − 1.41379I
a = 0.042561 + 0.806234I
b = 0.283453 − 0.591147I
4.98689 + 4.40383I 0
u = 0.20904 + 1.40582I
a = −0.616166 + 0.917200I
b = −0.119538 − 0.741508I
5.11423 − 3.73999I 0
u = 0.20904 − 1.40582I
a = −0.616166 − 0.917200I
b = −0.119538 + 0.741508I
5.11423 + 3.73999I 0
u = −0.35032 + 1.37835I
a = −0.716254 + 0.221141I
b = −0.560401 + 1.099150I
2.80448 − 1.29277I 0
u = −0.35032 − 1.37835I
a = −0.716254 − 0.221141I
b = −0.560401 − 1.099150I
2.80448 + 1.29277I 0
u = −1.45123 + 0.05010I
a = −0.228993 + 0.217199I
b = −0.020889 + 0.200080I
−7.36613 + 5.80434I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.45123 − 0.05010I
a = −0.228993 − 0.217199I
b = −0.020889 − 0.200080I
−7.36613 − 5.80434I 0
u = 0.64740 + 1.30186I
a = 0.649978 + 0.340741I
b = 0.267851 + 0.513008I
2.46817 − 1.99964I 0
u = 0.64740 − 1.30186I
a = 0.649978 − 0.340741I
b = 0.267851 − 0.513008I
2.46817 + 1.99964I 0
u = 0.71352 + 1.29683I
a = −0.844644 − 0.136553I
b = −0.490704 − 0.675126I
2.83516 − 4.75502I 0
u = 0.71352 − 1.29683I
a = −0.844644 + 0.136553I
b = −0.490704 + 0.675126I
2.83516 + 4.75502I 0
u = −0.370867 + 0.309970I
a = 1.44623 + 2.43006I
b = 1.083160 − 0.259473I
−4.60364 − 0.03482I −15.5435 − 1.9910I
u = −0.370867 − 0.309970I
a = 1.44623 − 2.43006I
b = 1.083160 + 0.259473I
−4.60364 + 0.03482I −15.5435 + 1.9910I
u = 0.050811 + 0.340419I
a = −1.26280 + 2.23523I
b = −0.782718 − 0.856643I
−3.04508 − 2.82311I −11.86694 + 3.34813I
u = 0.050811 − 0.340419I
a = −1.26280 − 2.23523I
b = −0.782718 + 0.856643I
−3.04508 + 2.82311I −11.86694 − 3.34813I
34
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
49
− 3u
48
+ ··· + 125u − 16)(u
195
− 16u
194
+ ··· − 2141u + 88)
c
2
(u
49
− u
48
+ ··· + u − 1)(u
195
+ 4u
194
+ ··· + 113416u + 11257)
c
3
(u
49
+ 16u
47
+ ··· − 17u + 6)(u
195
− 3u
194
+ ··· + 217741u + 10918)
c
4
(u
49
+ 3u
48
+ ··· − u − 6)(u
195
+ 4u
194
+ ··· + 51821u + 2894)
c
5
(u
49
+ 21u
47
+ ··· − 8u + 1)(u
195
− 3u
194
+ ··· + 23431u + 1133)
c
6
(u
49
+ u
48
+ ··· + u + 1)(u
195
+ 4u
194
+ ··· + 113416u + 11257)
c
7
(u
49
− 12u
48
+ ··· + 165u − 5)
· (u
195
+ 11u
194
+ ··· + 218148168u + 31728989)
c
8
4(2u
49
− u
48
+ ··· − 14u − 1)(2u
195
+ 7u
194
+ ··· − 49u + 5)
c
9
4(2u
49
− 11u
48
+ ··· − 56u − 9)
· (2u
195
− 9u
194
+ ··· − 57685501u + 44225269)
c
10
4(2u
49
− 11u
48
+ ··· + 7u − 1)
· (2u
195
+ 25u
194
+ ··· + 10298164u + 574285)
c
11
(u
49
+ 19u
48
+ ··· + 66u + 5)(u
195
+ 8u
194
+ ··· + 12939u + 1819)
c
12
(u
49
+ 21u
47
+ ··· − 8u − 1)(u
195
− 3u
194
+ ··· + 23431u + 1133)
35
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
49
+ 17y
48
+ ··· − 6711y −256)
· (y
195
+ 62y
194
+ ··· − 185895y −7744)
c
2
, c
6
(y
49
+ 27y
48
+ ··· − 27y −1)
· (y
195
+ 116y
194
+ ··· − 6845116264y −126720049)
c
3
(y
49
+ 32y
48
+ ··· + 421y −36)
· (y
195
+ 45y
194
+ ··· + 993877489y −119202724)
c
4
(y
49
− 5y
48
+ ··· + 205y −36)
· (y
195
− 28y
194
+ ··· + 583712209y −8375236)
c
5
, c
12
(y
49
+ 42y
48
+ ··· − 24y −1)
· (y
195
+ 147y
194
+ ··· + 20891003y −1283689)
c
7
(y
49
− 20y
48
+ ··· + 12105y −25)
· (y
195
+ 9y
194
+ ··· − 60843014639712268y −1006728742962121)
c
8
16(4y
49
− 45y
48
+ ··· + 32y −1)(4y
195
− 73y
194
+ ··· + 211y −25)
c
9
16(4y
49
− 73y
48
+ ··· + 3046y −81)
· (4y
195
− 261y
194
+ ··· + 8953659438498701y −1955874418122361)
c
10
16(4y
49
− 5y
48
+ ··· − 43y −1)
· (4y
195
+ 159y
194
+ ··· + 17488032576876y −329803261225)
c
11
(y
49
− 23y
48
+ ··· + 136y −25)
· (y
195
− 42y
194
+ ··· − 2071600293y −3308761)
36
