12a
0710
(K12a
0710
)
A knot diagram
1
Linearized knot diagam
3 8 6 12 1 9 11 2 4 5 7 10
Solving Sequence
3,8
2 9
1,11
7 12 6 4 5 10
c
2
c
8
c
1
c
7
c
11
c
6
c
3
c
5
c
10
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2.03244 × 10
803
u
198
− 3.73750 × 10
803
u
197
+ ··· + 2.91199 × 10
803
b − 7.79066 × 10
806
,
5.88369 × 10
805
u
198
− 4.46985 × 10
805
u
197
+ ··· + 1.45396 × 10
807
a − 2.49046 × 10
808
,
u
199
− 2u
198
+ ··· + 2292u + 4993i
I
u
2
= h−4.40584 × 10
28
u
49
+ 2.00303 × 10
29
u
48
+ ··· + 4.27060 × 10
28
b + 7.48072 × 10
28
,
1.07238 × 10
28
u
49
− 2.47638 × 10
28
u
48
+ ··· + 4.27060 × 10
28
a − 1.90703 × 10
28
, u
50
− 3u
49
+ ··· − 5u + 1i
* 2 irreducible components of dim
C
= 0, with total 249 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
= h2.03 × 10
803
u
198
− 3.74 × 10
803
u
197
+ · · · + 2.91 × 10
803
b − 7.79 ×
10
806
, 5.88 × 10
805
u
198
− 4.47 × 10
805
u
197
+ · · · + 1.45 × 10
807
a − 2.49 ×
10
808
, u
199
− 2u
198
+ · · · + 2292u + 4993i
(i) Arc colorings
a
3
=
1
0
a
8
=
0
u
a
2
=
1
u
2
a
9
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
11
=
−0.0404668u
198
+ 0.0307427u
197
+ ··· − 390.332u + 17.1288
−0.697956u
198
+ 1.28349u
197
+ ··· + 923.373u + 2675.37
a
7
=
0.223072u
198
− 0.613083u
197
+ ··· − 569.312u − 1221.06
0.232181u
198
− 0.752237u
197
+ ··· − 3069.01u − 2189.90
a
12
=
0.172321u
198
− 0.596347u
197
+ ··· − 840.099u − 1519.71
−0.187797u
198
+ 0.0761186u
197
+ ··· − 408.248u + 798.875
a
6
=
−0.0469788u
198
− 0.343566u
197
+ ··· − 1400.00u − 910.198
−0.0305804u
198
− 0.248436u
197
+ ··· − 1931.16u − 528.014
a
4
=
0.220317u
198
− 0.475003u
197
+ ··· − 694.057u − 673.435
−0.120181u
198
+ 0.109173u
197
+ ··· − 1668.53u − 117.751
a
5
=
0.296790u
198
− 0.741474u
197
+ ··· − 573.786u − 1612.16
0.188571u
198
− 0.771376u
197
+ ··· − 3411.19u − 2396.72
a
10
=
0.205050u
198
− 0.599328u
197
+ ··· − 241.616u − 1720.11
0.0571877u
198
− 0.344279u
197
+ ··· + 108.054u + 287.925
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.329770u
198
+ 0.827580u
197
+ ··· + 3619.10u + 1349.38
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
199
+ 88u
198
+ ··· − 898659484u − 24930049
c
2
, c
8
u
199
+ 2u
198
+ ··· + 2292u − 4993
c
3
16(16u
199
− 404u
198
+ ··· + 3748743u − 588397)
c
4
4(4u
199
+ 34u
198
+ ··· + 1315u − 115)
c
5
u
199
+ 3u
198
+ ··· + 150597109870u − 13651828868
c
6
u
199
− 3u
198
+ ··· + 22334708u − 1049936
c
7
, c
11
4(4u
199
+ 6u
198
+ ··· − u − 1)
c
9
u
199
+ 2u
198
+ ··· + 15945814u − 22455076
c
10
4(4u
199
+ 6u
198
+ ··· + 22772u − 4007)
c
12
u
199
+ 15u
198
+ ··· + 8u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
199
+ 64y
198
+ ··· − 36054882912463804y −621507343142401
c
2
, c
8
y
199
+ 88y
198
+ ··· − 898659484y −24930049
c
3
256
· (256y
199
− 10480y
198
+ ··· + 23809268261933y −346211029609)
c
4
16(16y
199
+ 436y
198
+ ··· − 851375y −13225)
c
5
y
199
− 83y
198
+ ··· + 9.36 × 10
21
y −1.86 × 10
20
c
6
y
199
+ 27y
198
+ ··· − 297526789893840y −1102365604096
c
7
, c
11
16(16y
199
+ 1668y
198
+ ··· − 53y −1)
c
9
y
199
− 44y
198
+ ··· + 9475054102446396y −504230438165776
c
10
16(16y
199
+ 580y
198
+ ··· − 1.76406 × 10
9
y −1.60560 × 10
7
)
c
12
y
199
− 17y
198
+ ··· + 180y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.552721 + 0.832838I
a = −0.707208 − 0.239482I
b = −3.65224 − 1.66538I
3.88301 + 5.91523I 0
u = 0.552721 − 0.832838I
a = −0.707208 + 0.239482I
b = −3.65224 + 1.66538I
3.88301 − 5.91523I 0
u = −0.859299 + 0.508789I
a = 1.198550 + 0.167827I
b = 1.60331 − 0.95658I
6.00377 + 9.14533I 0
u = −0.859299 − 0.508789I
a = 1.198550 − 0.167827I
b = 1.60331 + 0.95658I
6.00377 − 9.14533I 0
u = −0.909701 + 0.421198I
a = 0.043181 + 1.173930I
b = 0.825858 − 0.036672I
3.54032 + 6.30441I 0
u = −0.909701 − 0.421198I
a = 0.043181 − 1.173930I
b = 0.825858 + 0.036672I
3.54032 − 6.30441I 0
u = −0.219731 + 0.970719I
a = −0.110343 + 0.397195I
b = 0.470574 + 0.095430I
−1.35070 − 2.66581I 0
u = −0.219731 − 0.970719I
a = −0.110343 − 0.397195I
b = 0.470574 − 0.095430I
−1.35070 + 2.66581I 0
u = 0.209168 + 0.983452I
a = 0.970077 + 0.702114I
b = 0.542646 + 0.073106I
−3.79293 − 0.98478I 0
u = 0.209168 − 0.983452I
a = 0.970077 − 0.702114I
b = 0.542646 − 0.073106I
−3.79293 + 0.98478I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.411665 + 0.902265I
a = 0.993461 − 0.889340I
b = 1.085420 − 0.064796I
−3.21661 − 2.55341I 0
u = −0.411665 − 0.902265I
a = 0.993461 + 0.889340I
b = 1.085420 + 0.064796I
−3.21661 + 2.55341I 0
u = −0.939454 + 0.388540I
a = 0.122412 + 1.109700I
b = 0.943407 + 0.293876I
3.69845 + 2.35980I 0
u = −0.939454 − 0.388540I
a = 0.122412 − 1.109700I
b = 0.943407 − 0.293876I
3.69845 − 2.35980I 0
u = −0.513877 + 0.837809I
a = 1.51046 − 0.33107I
b = 1.62046 − 1.38352I
1.10678 − 1.52154I 0
u = −0.513877 − 0.837809I
a = 1.51046 + 0.33107I
b = 1.62046 + 1.38352I
1.10678 + 1.52154I 0
u = 0.780482 + 0.653839I
a = −0.792194 + 0.028929I
b = −1.126410 − 0.386667I
5.07245 + 2.29003I 0
u = 0.780482 − 0.653839I
a = −0.792194 − 0.028929I
b = −1.126410 + 0.386667I
5.07245 − 2.29003I 0
u = −0.544986 + 0.867614I
a = −1.54890 + 0.51501I
b = −1.03823 + 1.55991I
1.32727 − 2.02418I 0
u = −0.544986 − 0.867614I
a = −1.54890 − 0.51501I
b = −1.03823 − 1.55991I
1.32727 + 2.02418I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.525672 + 0.881827I
a = 0.716924 − 1.213420I
b = −0.657664 − 0.158631I
0.94984 − 2.68578I 0
u = −0.525672 − 0.881827I
a = 0.716924 + 1.213420I
b = −0.657664 + 0.158631I
0.94984 + 2.68578I 0
u = 0.533398 + 0.805161I
a = −0.588862 + 1.014380I
b = −1.78743 + 0.27356I
4.66561 + 1.62448I 0
u = 0.533398 − 0.805161I
a = −0.588862 − 1.014380I
b = −1.78743 − 0.27356I
4.66561 − 1.62448I 0
u = 0.028300 + 1.035610I
a = −0.970207 + 0.252432I
b = −2.12131 − 0.10883I
−3.11609 + 5.16977I 0
u = 0.028300 − 1.035610I
a = −0.970207 − 0.252432I
b = −2.12131 + 0.10883I
−3.11609 − 5.16977I 0
u = 0.861727 + 0.432030I
a = −0.352247 + 0.742005I
b = −1.003830 − 0.946135I
5.69593 + 5.24594I 0
u = 0.861727 − 0.432030I
a = −0.352247 − 0.742005I
b = −1.003830 + 0.946135I
5.69593 − 5.24594I 0
u = −0.687656 + 0.782929I
a = 0.504042 − 0.954478I
b = −2.31312 − 1.24192I
2.11943 + 5.39021I 0
u = −0.687656 − 0.782929I
a = 0.504042 + 0.954478I
b = −2.31312 + 1.24192I
2.11943 − 5.39021I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.504323 + 0.814252I
a = 0.758123 + 0.178614I
b = 3.89710 + 2.22602I
3.59304 − 2.50085I 0
u = 0.504323 − 0.814252I
a = 0.758123 − 0.178614I
b = 3.89710 − 2.22602I
3.59304 + 2.50085I 0
u = −0.590566 + 0.745221I
a = 0.537097 − 1.151850I
b = −1.34228 + 0.70743I
1.83110 + 1.80888I 0
u = −0.590566 − 0.745221I
a = 0.537097 + 1.151850I
b = −1.34228 − 0.70743I
1.83110 − 1.80888I 0
u = 0.711519 + 0.629426I
a = −0.126482 − 0.390596I
b = 1.083500 + 0.193088I
1.80013 − 2.21904I 0
u = 0.711519 − 0.629426I
a = −0.126482 + 0.390596I
b = 1.083500 − 0.193088I
1.80013 + 2.21904I 0
u = 0.835327 + 0.641585I
a = −0.606354 + 0.029456I
b = −0.670212 − 0.427476I
5.41276 − 1.88806I 0
u = 0.835327 − 0.641585I
a = −0.606354 − 0.029456I
b = −0.670212 + 0.427476I
5.41276 + 1.88806I 0
u = −0.853640 + 0.617830I
a = 0.206766 − 1.105280I
b = −1.098760 + 0.350039I
3.06999 + 5.73445I 0
u = −0.853640 − 0.617830I
a = 0.206766 + 1.105280I
b = −1.098760 − 0.350039I
3.06999 − 5.73445I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.599592 + 0.873142I
a = −0.261519 − 0.661759I
b = 1.58241 + 1.69433I
3.71461 − 1.34360I 0
u = 0.599592 − 0.873142I
a = −0.261519 + 0.661759I
b = 1.58241 − 1.69433I
3.71461 + 1.34360I 0
u = −0.455042 + 0.822303I
a = −1.018300 − 0.337505I
b = −0.81850 + 1.27127I
0.38168 − 1.36315I 0
u = −0.455042 − 0.822303I
a = −1.018300 + 0.337505I
b = −0.81850 − 1.27127I
0.38168 + 1.36315I 0
u = 0.535236 + 0.915221I
a = 0.267930 + 0.632978I
b = −2.24908 − 1.78020I
3.22414 + 6.70082I 0
u = 0.535236 − 0.915221I
a = 0.267930 − 0.632978I
b = −2.24908 + 1.78020I
3.22414 − 6.70082I 0
u = 0.083860 + 1.059590I
a = 0.656271 − 0.088087I
b = 0.751368 − 0.692670I
−2.95579 − 1.54889I 0
u = 0.083860 − 1.059590I
a = 0.656271 + 0.088087I
b = 0.751368 + 0.692670I
−2.95579 + 1.54889I 0
u = −0.517114 + 0.929573I
a = 0.137680 + 0.731179I
b = 1.013010 − 0.048566I
−0.10041 − 2.60950I 0
u = −0.517114 − 0.929573I
a = 0.137680 − 0.731179I
b = 1.013010 + 0.048566I
−0.10041 + 2.60950I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.485213 + 0.797824I
a = −0.44572 + 1.76061I
b = 1.092080 + 0.720278I
1.57885 − 2.28038I 0
u = −0.485213 − 0.797824I
a = −0.44572 − 1.76061I
b = 1.092080 − 0.720278I
1.57885 + 2.28038I 0
u = −0.526510 + 0.931329I
a = −1.160450 + 0.002264I
b = −1.57546 + 2.33091I
−2.45135 − 2.23353I 0
u = −0.526510 − 0.931329I
a = −1.160450 − 0.002264I
b = −1.57546 − 2.33091I
−2.45135 + 2.23353I 0
u = 0.951196 + 0.492949I
a = 0.138621 − 1.360050I
b = 1.73332 − 0.29766I
2.64993 − 7.11273I 0
u = 0.951196 − 0.492949I
a = 0.138621 + 1.360050I
b = 1.73332 + 0.29766I
2.64993 + 7.11273I 0
u = 0.027769 + 1.071250I
a = 0.441456 + 0.565178I
b = 0.253522 − 0.462219I
−3.45246 − 1.50217I 0
u = 0.027769 − 1.071250I
a = 0.441456 − 0.565178I
b = 0.253522 + 0.462219I
−3.45246 + 1.50217I 0
u = 0.964213 + 0.495822I
a = −0.072745 + 1.296260I
b = −1.52567 + 0.23030I
3.5941 − 15.6636I 0
u = 0.964213 − 0.495822I
a = −0.072745 − 1.296260I
b = −1.52567 − 0.23030I
3.5941 + 15.6636I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.609676 + 0.680554I
a = 0.29244 + 1.55115I
b = −1.39864 + 0.42067I
1.17478 − 7.10231I 0
u = 0.609676 − 0.680554I
a = 0.29244 − 1.55115I
b = −1.39864 − 0.42067I
1.17478 + 7.10231I 0
u = −0.286690 + 0.862611I
a = 1.273120 − 0.166901I
b = 0.706388 + 0.062995I
−2.95079 − 0.53968I 0
u = −0.286690 − 0.862611I
a = 1.273120 + 0.166901I
b = 0.706388 − 0.062995I
−2.95079 + 0.53968I 0
u = −0.294433 + 0.853854I
a = −1.081670 + 0.667421I
b = −1.72673 + 0.92493I
−0.62344 + 1.91959I 0
u = −0.294433 − 0.853854I
a = −1.081670 − 0.667421I
b = −1.72673 − 0.92493I
−0.62344 − 1.91959I 0
u = 0.616988 + 0.906942I
a = 0.506013 − 0.546841I
b = 0.668470 + 1.089890I
4.21132 + 2.90379I 0
u = 0.616988 − 0.906942I
a = 0.506013 + 0.546841I
b = 0.668470 − 1.089890I
4.21132 − 2.90379I 0
u = 0.809648 + 0.743419I
a = 0.271805 − 0.128087I
b = 0.342796 + 0.556975I
5.22932 − 1.64749I 0
u = 0.809648 − 0.743419I
a = 0.271805 + 0.128087I
b = 0.342796 − 0.556975I
5.22932 + 1.64749I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.696430 + 0.853455I
a = 0.218178 + 0.199090I
b = −0.96838 + 1.23201I
4.52346 + 2.67277I 0
u = 0.696430 − 0.853455I
a = 0.218178 − 0.199090I
b = −0.96838 − 1.23201I
4.52346 − 2.67277I 0
u = 0.814341 + 0.745485I
a = 0.295329 + 0.024704I
b = 0.163557 + 0.758573I
5.22666 − 1.64935I 0
u = 0.814341 − 0.745485I
a = 0.295329 − 0.024704I
b = 0.163557 − 0.758573I
5.22666 + 1.64935I 0
u = −0.495181 + 0.746661I
a = −0.513655 + 1.028400I
b = 1.61551 + 0.48112I
−1.85131 − 1.95871I 0
u = −0.495181 − 0.746661I
a = −0.513655 − 1.028400I
b = 1.61551 − 0.48112I
−1.85131 + 1.95871I 0
u = −0.588245 + 0.936781I
a = 1.134990 − 0.168436I
b = 2.47747 − 1.84530I
1.22366 − 6.49641I 0
u = −0.588245 − 0.936781I
a = 1.134990 + 0.168436I
b = 2.47747 + 1.84530I
1.22366 + 6.49641I 0
u = −0.824299 + 0.342539I
a = −1.67735 − 0.14115I
b = −2.18915 + 0.93497I
4.98292 − 0.46871I 0
u = −0.824299 − 0.342539I
a = −1.67735 + 0.14115I
b = −2.18915 − 0.93497I
4.98292 + 0.46871I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.582020 + 0.942601I
a = 0.384392 − 0.515783I
b = 0.504040 − 0.161997I
0.49477 + 7.04332I 0
u = 0.582020 − 0.942601I
a = 0.384392 + 0.515783I
b = 0.504040 + 0.161997I
0.49477 − 7.04332I 0
u = 0.520046 + 0.987254I
a = −1.092230 + 0.167037I
b = −1.87984 − 1.87464I
−2.11571 + 6.94267I 0
u = 0.520046 − 0.987254I
a = −1.092230 − 0.167037I
b = −1.87984 + 1.87464I
−2.11571 − 6.94267I 0
u = −0.933475 + 0.612558I
a = −0.990125 + 0.519995I
b = −0.54385 + 1.56565I
3.37204 − 1.81618I 0
u = −0.933475 − 0.612558I
a = −0.990125 − 0.519995I
b = −0.54385 − 1.56565I
3.37204 + 1.81618I 0
u = −0.655283 + 0.913091I
a = 0.997677 − 0.196228I
b = 0.43077 − 3.17451I
1.71629 − 10.57650I 0
u = −0.655283 − 0.913091I
a = 0.997677 + 0.196228I
b = 0.43077 + 3.17451I
1.71629 + 10.57650I 0
u = −0.761353 + 0.827622I
a = −0.896843 + 0.319419I
b = −0.14000 + 2.07036I
2.52975 − 2.31467I 0
u = −0.761353 − 0.827622I
a = −0.896843 − 0.319419I
b = −0.14000 − 2.07036I
2.52975 + 2.31467I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.220520 + 0.846361I
a = −1.37439 − 1.06128I
b = −0.386375 − 0.775664I
−2.07111 − 7.03742I 0
u = 0.220520 − 0.846361I
a = −1.37439 + 1.06128I
b = −0.386375 + 0.775664I
−2.07111 + 7.03742I 0
u = 0.404176 + 0.771277I
a = −0.355125 − 1.128450I
b = 1.82332 + 0.25939I
−1.16154 − 3.10104I 0
u = 0.404176 − 0.771277I
a = −0.355125 + 1.128450I
b = 1.82332 − 0.25939I
−1.16154 + 3.10104I 0
u = −0.841051 + 0.205471I
a = −0.735433 + 0.952701I
b = −0.956600 + 0.840916I
0.073059 − 0.309953I 0
u = −0.841051 − 0.205471I
a = −0.735433 − 0.952701I
b = −0.956600 − 0.840916I
0.073059 + 0.309953I 0
u = 0.598849 + 0.966089I
a = 1.384880 − 0.086581I
b = 1.78441 + 1.86549I
0.30124 + 11.89580I 0
u = 0.598849 − 0.966089I
a = 1.384880 + 0.086581I
b = 1.78441 − 1.86549I
0.30124 − 11.89580I 0
u = 0.569206 + 0.999185I
a = 0.328692 − 0.889754I
b = 1.100760 + 0.794621I
4.10080 + 2.86091I 0
u = 0.569206 − 0.999185I
a = 0.328692 + 0.889754I
b = 1.100760 − 0.794621I
4.10080 − 2.86091I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.739260 + 0.412576I
a = 0.446779 − 0.845840I
b = 0.79140 + 1.24484I
5.32565 − 3.10952I 0
u = 0.739260 − 0.412576I
a = 0.446779 + 0.845840I
b = 0.79140 − 1.24484I
5.32565 + 3.10952I 0
u = 0.917720 + 0.699939I
a = 0.571916 + 0.164227I
b = 1.16784 + 0.90482I
2.12588 − 1.68509I 0
u = 0.917720 − 0.699939I
a = 0.571916 − 0.164227I
b = 1.16784 − 0.90482I
2.12588 + 1.68509I 0
u = −0.784875 + 0.874705I
a = −0.497628 + 0.794673I
b = 1.42820 + 1.25414I
2.40083 − 3.48233I 0
u = −0.784875 − 0.874705I
a = −0.497628 − 0.794673I
b = 1.42820 − 1.25414I
2.40083 + 3.48233I 0
u = −0.538827 + 1.051330I
a = −1.060960 + 0.081081I
b = −2.54662 + 0.95970I
−2.65080 − 11.31910I 0
u = −0.538827 − 1.051330I
a = −1.060960 − 0.081081I
b = −2.54662 − 0.95970I
−2.65080 + 11.31910I 0
u = −0.293397 + 1.146480I
a = 0.757551 − 0.505259I
b = 1.33495 − 0.61524I
−4.26311 + 4.12666I 0
u = −0.293397 − 1.146480I
a = 0.757551 + 0.505259I
b = 1.33495 + 0.61524I
−4.26311 − 4.12666I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.009279 + 1.183910I
a = −0.146185 − 0.890887I
b = −0.573264 + 0.657965I
−0.14075 + 7.22753I 0
u = −0.009279 − 1.183910I
a = −0.146185 + 0.890887I
b = −0.573264 − 0.657965I
−0.14075 − 7.22753I 0
u = 0.522350 + 0.624628I
a = −0.779489 + 0.402598I
b = 0.083540 − 0.329967I
1.37927 − 2.46115I 0
u = 0.522350 − 0.624628I
a = −0.779489 − 0.402598I
b = 0.083540 + 0.329967I
1.37927 + 2.46115I 0
u = −1.039210 + 0.592366I
a = 0.832652 − 0.537920I
b = 0.79162 − 1.29319I
4.00572 − 9.87173I 0
u = −1.039210 − 0.592366I
a = 0.832652 + 0.537920I
b = 0.79162 + 1.29319I
4.00572 + 9.87173I 0
u = 0.254360 + 1.170240I
a = 0.830588 + 0.449444I
b = 1.128650 − 0.096127I
−4.56030 + 0.17190I 0
u = 0.254360 − 1.170240I
a = 0.830588 − 0.449444I
b = 1.128650 + 0.096127I
−4.56030 − 0.17190I 0
u = 0.655011 + 1.007100I
a = −0.289132 − 0.095642I
b = −0.61161 − 1.33924I
0.68400 + 7.48746I 0
u = 0.655011 − 1.007100I
a = −0.289132 + 0.095642I
b = −0.61161 + 1.33924I
0.68400 − 7.48746I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.529095 + 1.083160I
a = 1.030370 + 0.416396I
b = 1.16557 + 0.88999I
−6.55102 + 3.82090I 0
u = 0.529095 − 1.083160I
a = 1.030370 − 0.416396I
b = 1.16557 − 0.88999I
−6.55102 − 3.82090I 0
u = −1.074230 + 0.551701I
a = 0.026070 − 0.939272I
b = −1.254790 − 0.052662I
0.62560 + 5.63247I 0
u = −1.074230 − 0.551701I
a = 0.026070 + 0.939272I
b = −1.254790 + 0.052662I
0.62560 − 5.63247I 0
u = 0.527974 + 1.092220I
a = −1.263400 − 0.445047I
b = −0.83574 − 1.33666I
−4.48001 + 10.11550I 0
u = 0.527974 − 1.092220I
a = −1.263400 + 0.445047I
b = −0.83574 + 1.33666I
−4.48001 − 10.11550I 0
u = 0.737902 + 0.965420I
a = −0.342947 + 0.238554I
b = −0.820925 − 0.297078I
4.53505 + 7.44392I 0
u = 0.737902 − 0.965420I
a = −0.342947 − 0.238554I
b = −0.820925 + 0.297078I
4.53505 − 7.44392I 0
u = 0.544751 + 1.088880I
a = −1.035310 − 0.007293I
b = −1.89447 − 1.62515I
−2.62169 + 7.53054I 0
u = 0.544751 − 1.088880I
a = −1.035310 + 0.007293I
b = −1.89447 + 1.62515I
−2.62169 − 7.53054I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.229079 + 1.196750I
a = −1.008010 − 0.054354I
b = −1.24917 − 0.89773I
−8.45925 + 3.85668I 0
u = 0.229079 − 1.196750I
a = −1.008010 + 0.054354I
b = −1.24917 + 0.89773I
−8.45925 − 3.85668I 0
u = 0.245053 + 1.199130I
a = 1.217650 + 0.161296I
b = 0.765966 + 0.984443I
−6.33151 − 2.29076I 0
u = 0.245053 − 1.199130I
a = 1.217650 − 0.161296I
b = 0.765966 − 0.984443I
−6.33151 + 2.29076I 0
u = 0.690509 + 1.013290I
a = 0.271550 − 0.438017I
b = 0.636320 + 0.396799I
4.27919 + 7.56997I 0
u = 0.690509 − 1.013290I
a = 0.271550 + 0.438017I
b = 0.636320 − 0.396799I
4.27919 − 7.56997I 0
u = 0.741818 + 0.983769I
a = 0.037784 + 0.174240I
b = −0.592605 + 0.288360I
4.49660 + 7.48595I 0
u = 0.741818 − 0.983769I
a = 0.037784 − 0.174240I
b = −0.592605 − 0.288360I
4.49660 − 7.48595I 0
u = 0.745612 + 0.162696I
a = 0.31661 − 1.39953I
b = 1.056250 − 0.110044I
−0.22597 − 3.00280I 0
u = 0.745612 − 0.162696I
a = 0.31661 + 1.39953I
b = 1.056250 + 0.110044I
−0.22597 + 3.00280I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.524564 + 1.120190I
a = −0.740080 + 0.614087I
b = −0.109241 + 0.273454I
−2.70133 − 4.49700I 0
u = −0.524564 − 1.120190I
a = −0.740080 − 0.614087I
b = −0.109241 − 0.273454I
−2.70133 + 4.49700I 0
u = 0.722179 + 0.179434I
a = −0.30603 − 1.88693I
b = 0.047198 − 1.164200I
−1.98545 − 5.59438I 0
u = 0.722179 − 0.179434I
a = −0.30603 + 1.88693I
b = 0.047198 + 1.164200I
−1.98545 + 5.59438I 0
u = 0.712951 + 1.045150I
a = −0.059738 + 0.501129I
b = −1.100750 − 0.494232I
0.98495 + 7.66890I 0
u = 0.712951 − 1.045150I
a = −0.059738 − 0.501129I
b = −1.100750 + 0.494232I
0.98495 − 7.66890I 0
u = −0.695446 + 1.059950I
a = 0.965310 − 0.167118I
b = 2.14614 − 1.61580I
1.69775 − 11.51090I 0
u = −0.695446 − 1.059950I
a = 0.965310 + 0.167118I
b = 2.14614 + 1.61580I
1.69775 + 11.51090I 0
u = −0.159004 + 1.268580I
a = 0.683536 − 0.261963I
b = 0.661541 − 0.087246I
−2.09823 − 0.94747I 0
u = −0.159004 − 1.268580I
a = 0.683536 + 0.261963I
b = 0.661541 + 0.087246I
−2.09823 + 0.94747I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.666380 + 1.098940I
a = −0.189634 − 0.998235I
b = −1.75603 + 0.10740I
4.2177 − 14.8123I 0
u = −0.666380 − 1.098940I
a = −0.189634 + 0.998235I
b = −1.75603 − 0.10740I
4.2177 + 14.8123I 0
u = −0.731523 + 1.061850I
a = −0.390040 + 0.771927I
b = 0.940753 + 0.970240I
1.99011 − 4.26775I 0
u = −0.731523 − 1.061850I
a = −0.390040 − 0.771927I
b = 0.940753 − 0.970240I
1.99011 + 4.26775I 0
u = −0.303142 + 0.639519I
a = −1.09947 + 1.39444I
b = −0.198919 − 1.317100I
−0.91564 + 7.28669I 0
u = −0.303142 − 0.639519I
a = −1.09947 − 1.39444I
b = −0.198919 + 1.317100I
−0.91564 − 7.28669I 0
u = 0.591336 + 1.149900I
a = −0.601564 + 0.049648I
b = −2.33486 − 0.49264I
3.08846 + 8.21318I 0
u = 0.591336 − 1.149900I
a = −0.601564 − 0.049648I
b = −2.33486 + 0.49264I
3.08846 − 8.21318I 0
u = 0.680994 + 0.187589I
a = 0.34943 + 1.61121I
b = 0.199352 + 0.512633I
−4.16506 + 0.65016I 0
u = 0.680994 − 0.187589I
a = 0.34943 − 1.61121I
b = 0.199352 − 0.512633I
−4.16506 − 0.65016I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.243879 + 1.270480I
a = 0.921722 + 0.376796I
b = 1.05533 − 1.21452I
−4.71820 − 3.90106I 0
u = −0.243879 − 1.270480I
a = 0.921722 − 0.376796I
b = 1.05533 + 1.21452I
−4.71820 + 3.90106I 0
u = −0.114368 + 1.301540I
a = 0.707751 − 0.305884I
b = 1.218500 + 0.023743I
−2.50000 + 3.27110I 0
u = −0.114368 − 1.301540I
a = 0.707751 + 0.305884I
b = 1.218500 − 0.023743I
−2.50000 − 3.27110I 0
u = −0.655650 + 1.147280I
a = −0.956029 + 0.095424I
b = −1.85139 + 1.30148I
1.34448 − 12.04970I 0
u = −0.655650 − 1.147280I
a = −0.956029 − 0.095424I
b = −1.85139 − 1.30148I
1.34448 + 12.04970I 0
u = 0.694765 + 1.135980I
a = −1.129290 + 0.041355I
b = −2.03266 − 2.12669I
0.67654 + 13.11970I 0
u = 0.694765 − 1.135980I
a = −1.129290 − 0.041355I
b = −2.03266 + 2.12669I
0.67654 − 13.11970I 0
u = 0.698493 + 1.143020I
a = 1.090540 + 0.018777I
b = 1.98263 + 1.98339I
1.5969 + 21.7242I 0
u = 0.698493 − 1.143020I
a = 1.090540 − 0.018777I
b = 1.98263 − 1.98339I
1.5969 − 21.7242I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.025185 + 1.344220I
a = −0.925258 − 0.416974I
b = −0.809599 + 0.562605I
−3.41999 − 12.91290I 0
u = −0.025185 − 1.344220I
a = −0.925258 + 0.416974I
b = −0.809599 − 0.562605I
−3.41999 + 12.91290I 0
u = 0.051161 + 0.650605I
a = −1.26048 − 0.90266I
b = 0.754968 + 0.560515I
−0.05906 − 3.39228I 0
u = 0.051161 − 0.650605I
a = −1.26048 + 0.90266I
b = 0.754968 − 0.560515I
−0.05906 + 3.39228I 0
u = −0.683170 + 1.165290I
a = −0.044636 + 1.279570I
b = 2.38024 + 0.17374I
2.53702 − 5.23121I 0
u = −0.683170 − 1.165290I
a = −0.044636 − 1.279570I
b = 2.38024 − 0.17374I
2.53702 + 5.23121I 0
u = −0.660700 + 1.178610I
a = −0.951971 + 0.041484I
b = −1.47864 + 1.50297I
1.30202 − 8.21113I 0
u = −0.660700 − 1.178610I
a = −0.951971 − 0.041484I
b = −1.47864 − 1.50297I
1.30202 + 8.21113I 0
u = −0.024266 + 0.640154I
a = −0.62790 + 1.39073I
b = 0.647399 + 0.042841I
1.28947 − 2.21051I 0
u = −0.024266 − 0.640154I
a = −0.62790 − 1.39073I
b = 0.647399 − 0.042841I
1.28947 + 2.21051I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.669768 + 1.184620I
a = 0.583009 + 0.011201I
b = 2.06917 + 0.75655I
3.40805 + 0.44387I 0
u = 0.669768 − 1.184620I
a = 0.583009 − 0.011201I
b = 2.06917 − 0.75655I
3.40805 − 0.44387I 0
u = −0.750132 + 1.156530I
a = 0.882688 − 0.114681I
b = 1.71143 − 1.76637I
−1.29708 − 12.16470I 0
u = −0.750132 − 1.156530I
a = 0.882688 + 0.114681I
b = 1.71143 + 1.76637I
−1.29708 + 12.16470I 0
u = −0.006226 + 1.382370I
a = 0.938264 + 0.527448I
b = 0.437068 − 0.698150I
−4.31929 − 4.29554I 0
u = −0.006226 − 1.382370I
a = 0.938264 − 0.527448I
b = 0.437068 + 0.698150I
−4.31929 + 4.29554I 0
u = −0.598428
a = −0.545366
b = −0.455525
1.69096 6.88900
u = −0.851491 + 1.124430I
a = 0.362627 − 0.670678I
b = −0.796497 − 0.457318I
2.41377 + 3.10857I 0
u = −0.851491 − 1.124430I
a = 0.362627 + 0.670678I
b = −0.796497 + 0.457318I
2.41377 − 3.10857I 0
u = 0.524881 + 0.238110I
a = 0.16181 − 1.94907I
b = 0.988581 − 0.123710I
−0.34441 − 3.12373I 4.00000 + 3.40998I
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.524881 − 0.238110I
a = 0.16181 + 1.94907I
b = 0.988581 + 0.123710I
−0.34441 + 3.12373I 4.00000 − 3.40998I
u = −0.492531 + 0.116719I
a = 0.57550 + 2.27660I
b = 0.021377 − 0.150599I
−0.66987 + 7.18094I 2.77247 − 9.03209I
u = −0.492531 − 0.116719I
a = 0.57550 − 2.27660I
b = 0.021377 + 0.150599I
−0.66987 − 7.18094I 2.77247 + 9.03209I
u = −0.359054 + 0.333217I
a = −1.38179 + 0.34183I
b = −0.387860 + 0.741927I
0.789191 − 0.987943I 6.65056 + 6.20970I
u = −0.359054 − 0.333217I
a = −1.38179 − 0.34183I
b = −0.387860 − 0.741927I
0.789191 + 0.987943I 6.65056 − 6.20970I
u = −0.269196 + 0.374107I
a = −1.31964 + 0.83174I
b = −0.094424 + 1.097580I
0.857991 − 1.064520I 6.46847 + 5.86847I
u = −0.269196 − 0.374107I
a = −1.31964 − 0.83174I
b = −0.094424 − 1.097580I
0.857991 + 1.064520I 6.46847 − 5.86847I
u = −0.07268 + 1.72072I
a = −0.521040 + 0.207239I
b = −0.749861 − 0.828650I
−7.88742 + 1.33463I 0
u = −0.07268 − 1.72072I
a = −0.521040 − 0.207239I
b = −0.749861 + 0.828650I
−7.88742 − 1.33463I 0
24
II.
I
u
2
= h−4.41×10
28
u
49
+2.00×10
29
u
48
+· · ·+4.27×10
28
b+7.48×10
28
, 1.07×
10
28
u
49
−2.48×10
28
u
48
+· · ·+4.27×10
28
a−1.91×10
28
, u
50
−3u
49
+· · ·−5u+1i
(i) Arc colorings
a
3
=
1
0
a
8
=
0
u
a
2
=
1
u
2
a
9
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
11
=
−0.251109u
49
+ 0.579867u
48
+ ··· − 10.2799u + 0.446548
1.03167u
49
− 4.69028u
48
+ ··· + 14.5373u − 1.75168
a
7
=
−2.60888u
49
+ 6.86110u
48
+ ··· − 6.24561u + 3.75701
−0.500163u
49
+ 1.08086u
48
+ ··· + 5.27977u − 1.89621
a
12
=
−1.66987u
49
+ 5.77668u
48
+ ··· − 9.51812u − 0.806856
0.917103u
49
− 4.58351u
48
+ ··· + 12.4696u − 1.84230
a
6
=
−3.32760u
49
+ 9.11251u
48
+ ··· − 10.5204u + 4.50005
−0.534434u
49
+ 1.57483u
48
+ ··· + 2.19979u − 1.24839
a
4
=
0.395945u
49
− 2.77211u
48
+ ··· − 2.16041u + 3.05072
0.0396463u
49
− 1.19043u
48
+ ··· + 13.6142u − 3.04095
a
5
=
−2.32030u
49
+ 6.17028u
48
+ ··· − 9.60811u + 5.20660
−1.91739u
49
+ 4.41970u
48
+ ··· + 6.72789u − 2.63206
a
10
=
1.67416u
49
− 4.93797u
48
+ ··· − 9.22340u + 6.73048
0.975780u
49
− 4.38189u
48
+ ··· + 22.0273u − 4.36829
(ii) Obstruction class = 1
(iii) Cusp Shapes = −14.0416u
49
+ 36.6197u
48
+ ··· + 6.17765u + 4.97400
25
(iv) u-Polynomials at the component
26
Crossings u-Polynomials at each crossing
c
1
u
50
− 29u
49
+ ··· − 11u + 1
c
2
u
50
− 3u
49
+ ··· − 5u + 1
c
3
16(16u
50
+ 420u
49
+ ··· + 22u + 1)
c
4
4(4u
50
+ 14u
49
+ ··· − 4u + 1)
c
5
u
50
+ 4u
49
+ ··· + 46u + 4
c
6
u
50
− 8u
49
+ ··· + 1308u + 368
c
7
4(4u
50
+ 2u
49
+ ··· + 2u + 1)
c
8
u
50
+ 3u
49
+ ··· + 5u + 1
c
9
u
50
+ u
49
+ ··· + 210u + 20
c
10
4(4u
50
− 2u
49
+ ··· − 7u + 1)
c
11
4(4u
50
− 2u
49
+ ··· − 2u + 1)
c
12
u
50
− 4u
49
+ ··· − 9u + 1
27
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
50
+ y
49
+ ··· + 191y + 1
c
2
, c
8
y
50
+ 29y
49
+ ··· + 11y + 1
c
3
256(256y
50
− 8688y
49
+ ··· − 90y + 1)
c
4
16(16y
50
+ 324y
49
+ ··· + 26y + 1)
c
5
y
50
− 26y
49
+ ··· − 1020y + 16
c
6
y
50
+ 8y
49
+ ··· + 1766736y + 135424
c
7
, c
11
16(16y
50
+ 532y
49
+ ··· + 56y + 1)
c
9
y
50
+ y
49
+ ··· − 2860y + 400
c
10
16(16y
50
+ 404y
49
+ ··· + y + 1)
c
12
y
50
+ 4y
49
+ ··· − 13y + 1
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.521719 + 0.844521I
a = 1.46409 − 1.54922I
b = −0.21490 − 1.67464I
1.50413 − 2.12666I 49.6684 − 31.6457I
u = −0.521719 − 0.844521I
a = 1.46409 + 1.54922I
b = −0.21490 + 1.67464I
1.50413 + 2.12666I 49.6684 + 31.6457I
u = −0.881405 + 0.529664I
a = 0.068761 − 1.164420I
b = −1.109250 + 0.171215I
2.31195 + 5.46201I 4.00000 − 4.25785I
u = −0.881405 − 0.529664I
a = 0.068761 + 1.164420I
b = −1.109250 − 0.171215I
2.31195 − 5.46201I 4.00000 + 4.25785I
u = 0.113378 + 1.045450I
a = −1.070450 − 0.382925I
b = −1.39191 + 0.44780I
−4.35736 + 1.10322I −1.70215 − 5.10234I
u = 0.113378 − 1.045450I
a = −1.070450 + 0.382925I
b = −1.39191 − 0.44780I
−4.35736 − 1.10322I −1.70215 + 5.10234I
u = −0.611677 + 0.711073I
a = −0.314117 + 0.432961I
b = 2.42086 − 1.09670I
4.17195 − 5.24675I 9.44272 + 1.53195I
u = −0.611677 − 0.711073I
a = −0.314117 − 0.432961I
b = 2.42086 + 1.09670I
4.17195 + 5.24675I 9.44272 − 1.53195I
u = 0.419190 + 1.031420I
a = 1.240490 − 0.022878I
b = 1.65307 + 0.74534I
−1.81131 + 9.87529I 0
u = 0.419190 − 1.031420I
a = 1.240490 + 0.022878I
b = 1.65307 − 0.74534I
−1.81131 − 9.87529I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.680304 + 0.890083I
a = −1.030480 − 0.136443I
b = −0.80126 − 2.17372I
1.08834 + 9.78189I 0
u = 0.680304 − 0.890083I
a = −1.030480 + 0.136443I
b = −0.80126 + 2.17372I
1.08834 − 9.78189I 0
u = 0.843001 + 0.743820I
a = 0.419670 + 0.264215I
b = −0.012919 + 0.915971I
4.98271 − 1.45949I 0
u = 0.843001 − 0.743820I
a = 0.419670 − 0.264215I
b = −0.012919 − 0.915971I
4.98271 + 1.45949I 0
u = 0.807489 + 0.794811I
a = −0.309029 − 0.908521I
b = 1.38317 − 0.50238I
1.36039 − 4.21949I 0
u = 0.807489 − 0.794811I
a = −0.309029 + 0.908521I
b = 1.38317 + 0.50238I
1.36039 + 4.21949I 0
u = −0.507697 + 0.692530I
a = 0.476869 − 0.341873I
b = −2.74757 + 1.72264I
3.73289 + 3.07957I 8.83209 − 9.44505I
u = −0.507697 − 0.692530I
a = 0.476869 + 0.341873I
b = −2.74757 − 1.72264I
3.73289 − 3.07957I 8.83209 + 9.44505I
u = 0.373256 + 0.768705I
a = 0.93744 + 1.29376I
b = −0.035421 − 0.556993I
−0.82276 − 6.58158I 4.46353 + 0.77573I
u = 0.373256 − 0.768705I
a = 0.93744 − 1.29376I
b = −0.035421 + 0.556993I
−0.82276 + 6.58158I 4.46353 − 0.77573I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.140556 + 1.138580I
a = −0.792979 + 0.410344I
b = −1.61057 + 0.09718I
−3.48682 + 3.66800I 0
u = −0.140556 − 1.138580I
a = −0.792979 − 0.410344I
b = −1.61057 − 0.09718I
−3.48682 − 3.66800I 0
u = 0.075027 + 0.847661I
a = −1.210940 + 0.357637I
b = −0.090190 + 0.652032I
−3.56293 − 0.29124I −4.48648 + 2.78228I
u = 0.075027 − 0.847661I
a = −1.210940 − 0.357637I
b = −0.090190 − 0.652032I
−3.56293 + 0.29124I −4.48648 − 2.78228I
u = 0.802802 + 0.838518I
a = 0.754669 + 0.588941I
b = −0.64385 + 1.72887I
2.99478 + 2.98643I 0
u = 0.802802 − 0.838518I
a = 0.754669 − 0.588941I
b = −0.64385 − 1.72887I
2.99478 − 2.98643I 0
u = −0.059429 + 1.161390I
a = −0.740181 + 0.119071I
b = −0.710616 + 0.418422I
−2.14025 − 1.48592I 0
u = −0.059429 − 1.161390I
a = −0.740181 − 0.119071I
b = −0.710616 − 0.418422I
−2.14025 + 1.48592I 0
u = −0.559729 + 1.040830I
a = 0.435190 − 0.200137I
b = 2.23637 − 1.74851I
2.52043 − 7.42935I 0
u = −0.559729 − 1.040830I
a = 0.435190 + 0.200137I
b = 2.23637 + 1.74851I
2.52043 + 7.42935I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.687649 + 1.031810I
a = −0.478126 + 0.107801I
b = −1.74417 + 1.41117I
3.12403 + 0.17282I 0
u = −0.687649 − 1.031810I
a = −0.478126 − 0.107801I
b = −1.74417 − 1.41117I
3.12403 − 0.17282I 0
u = 0.760968 + 0.988019I
a = 0.288419 + 0.272282I
b = −0.395736 + 0.623473I
4.23417 + 7.43677I 0
u = 0.760968 − 0.988019I
a = 0.288419 − 0.272282I
b = −0.395736 − 0.623473I
4.23417 − 7.43677I 0
u = 0.612474 + 0.417235I
a = 1.61626 − 0.63464I
b = 1.81898 + 0.56494I
4.77750 + 0.22901I 7.69656 + 5.94075I
u = 0.612474 − 0.417235I
a = 1.61626 + 0.63464I
b = 1.81898 − 0.56494I
4.77750 − 0.22901I 7.69656 − 5.94075I
u = −0.016482 + 0.713129I
a = −0.834621 − 0.645193I
b = 1.310900 − 0.134617I
−1.56089 − 4.24722I 0.15146 + 8.27284I
u = −0.016482 − 0.713129I
a = −0.834621 + 0.645193I
b = 1.310900 + 0.134617I
−1.56089 + 4.24722I 0.15146 − 8.27284I
u = −0.674589 + 1.112160I
a = 0.970346 − 0.088994I
b = 2.00778 − 1.54866I
0.51137 − 11.23890I 0
u = −0.674589 − 1.112160I
a = 0.970346 + 0.088994I
b = 2.00778 + 1.54866I
0.51137 + 11.23890I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.687691 + 1.136180I
a = 0.054720 + 1.197180I
b = −2.18005 + 0.27232I
2.55368 + 5.14288I 0
u = 0.687691 − 1.136180I
a = 0.054720 − 1.197180I
b = −2.18005 − 0.27232I
2.55368 − 5.14288I 0
u = 0.097917 + 1.336440I
a = −0.916049 + 0.463478I
b = −0.749623 − 0.877368I
−4.27823 + 4.02582I 0
u = 0.097917 − 1.336440I
a = −0.916049 − 0.463478I
b = −0.749623 + 0.877368I
−4.27823 − 4.02582I 0
u = −0.422556 + 0.335604I
a = −1.59780 + 0.87685I
b = −0.75811 + 1.20498I
0.972610 − 0.126620I 8.67602 − 2.60101I
u = −0.422556 − 0.335604I
a = −1.59780 − 0.87685I
b = −0.75811 − 1.20498I
0.972610 + 0.126620I 8.67602 + 2.60101I
u = 0.254591 + 0.184996I
a = −0.71374 − 3.28430I
b = 0.851156 + 0.586267I
0.62667 − 3.04692I 11.76626 + 4.07749I
u = 0.254591 − 0.184996I
a = −0.71374 + 3.28430I
b = 0.851156 − 0.586267I
0.62667 + 3.04692I 11.76626 − 4.07749I
u = 0.05540 + 1.70122I
a = 0.531587 + 0.197465I
b = 0.763858 − 0.846879I
−7.93250 − 1.28514I 0
u = 0.05540 − 1.70122I
a = 0.531587 − 0.197465I
b = 0.763858 + 0.846879I
−7.93250 + 1.28514I 0
34
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
50
− 29u
49
+ ··· − 11u + 1)
· (u
199
+ 88u
198
+ ··· − 898659484u − 24930049)
c
2
(u
50
− 3u
49
+ ··· − 5u + 1)(u
199
+ 2u
198
+ ··· + 2292u − 4993)
c
3
256(16u
50
+ 420u
49
+ ··· + 22u + 1)
· (16u
199
− 404u
198
+ ··· + 3748743u − 588397)
c
4
16(4u
50
+ 14u
49
+ ··· − 4u + 1)(4u
199
+ 34u
198
+ ··· + 1315u − 115)
c
5
(u
50
+ 4u
49
+ ··· + 46u + 4)
· (u
199
+ 3u
198
+ ··· + 150597109870u − 13651828868)
c
6
(u
50
− 8u
49
+ ··· + 1308u + 368)
· (u
199
− 3u
198
+ ··· + 22334708u − 1049936)
c
7
16(4u
50
+ 2u
49
+ ··· + 2u + 1)(4u
199
+ 6u
198
+ ··· − u − 1)
c
8
(u
50
+ 3u
49
+ ··· + 5u + 1)(u
199
+ 2u
198
+ ··· + 2292u − 4993)
c
9
(u
50
+ u
49
+ ··· + 210u + 20)
· (u
199
+ 2u
198
+ ··· + 15945814u − 22455076)
c
10
16(4u
50
− 2u
49
+ ··· − 7u + 1)(4u
199
+ 6u
198
+ ··· + 22772u − 4007)
c
11
16(4u
50
− 2u
49
+ ··· − 2u + 1)(4u
199
+ 6u
198
+ ··· − u − 1)
c
12
(u
50
− 4u
49
+ ··· − 9u + 1)(u
199
+ 15u
198
+ ··· + 8u + 1)
35
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
50
+ y
49
+ ··· + 191y + 1)
· (y
199
+ 64y
198
+ ··· − 36054882912463804y −621507343142401)
c
2
, c
8
(y
50
+ 29y
49
+ ··· + 11y + 1)
· (y
199
+ 88y
198
+ ··· − 898659484y −24930049)
c
3
65536(256y
50
− 8688y
49
+ ··· − 90y + 1)
· (256y
199
− 10480y
198
+ ··· + 23809268261933y −346211029609)
c
4
256(16y
50
+ 324y
49
+ ··· + 26y + 1)
· (16y
199
+ 436y
198
+ ··· − 851375y −13225)
c
5
(y
50
− 26y
49
+ ··· − 1020y + 16)
· (y
199
− 83y
198
+ ··· + 9.36 × 10
21
y −1.86 × 10
20
)
c
6
(y
50
+ 8y
49
+ ··· + 1766736y + 135424)
· (y
199
+ 27y
198
+ ··· − 297526789893840y −1102365604096)
c
7
, c
11
256(16y
50
+ 532y
49
+ ··· + 56y + 1)
· (16y
199
+ 1668y
198
+ ··· − 53y −1)
c
9
(y
50
+ y
49
+ ··· − 2860y + 400)
· (y
199
− 44y
198
+ ··· + 9475054102446396y −504230438165776)
c
10
256(16y
50
+ 404y
49
+ ··· + y + 1)
· (16y
199
+ 580y
198
+ ··· − 1764055622y −16056049)
c
12
(y
50
+ 4y
49
+ ··· − 13y + 1)(y
199
− 17y
198
+ ··· + 180y −1)
36
