12a
0935
(K12a
0935
)
A knot diagram
1
Linearized knot diagam
4 6 9 12 11 2 5 3 1 8 7 10
Solving Sequence
2,6
3
7,11
12 5 8 9 4 1 10
c
2
c
6
c
11
c
5
c
7
c
8
c
4
c
1
c
10
c
3
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h7.81900 × 10
985
u
183
− 7.88716 × 10
985
u
182
+ ··· + 6.01907 × 10
985
b + 2.13399 × 10
986
,
4.35696 × 10
986
u
183
+ 3.78145 × 10
985
u
182
+ ··· + 6.01907 × 10
985
a + 4.67662 × 10
986
, u
184
+ u
183
+ ··· + 2u − 1i
I
u
2
= h4.73987 × 10
39
u
49
+ 1.08770 × 10
39
u
48
+ ··· + 2.55091 × 10
37
b − 7.03667 × 10
39
,
1.73292 × 10
39
u
49
+ 8.72064 × 10
38
u
48
+ ··· + 2.55091 × 10
37
a − 5.63180 × 10
39
, u
50
+ 11u
48
+ ··· − 3u − 1i
* 2 irreducible components of dim
C
= 0, with total 234 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
= h7.82 × 10
985
u
183
− 7.89 × 10
985
u
182
+ · · · + 6.02 × 10
985
b + 2.13 ×
10
986
, 4.36 × 10
986
u
183
+ 3.78 × 10
985
u
182
+ · · · + 6.02 × 10
985
a + 4.68 ×
10
986
, u
184
+ u
183
+ · · · + 2u − 1i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
−u
2
a
7
=
u
u
a
11
=
−7.23859u
183
− 0.628245u
182
+ ··· + 31.4824u − 7.76968
−1.29904u
183
+ 1.31036u
182
+ ··· + 10.0813u − 3.54539
a
12
=
−10.0540u
183
− 0.950916u
182
+ ··· + 45.4239u − 11.7706
−4.11442u
183
+ 0.987693u
182
+ ··· + 24.0228u − 7.54633
a
5
=
0.794746u
183
− 1.61012u
182
+ ··· − 35.6727u + 4.52522
0.0710340u
183
− 0.574077u
182
+ ··· − 12.3695u + 0.280865
a
8
=
9.63510u
183
+ 10.4622u
182
+ ··· − 24.9001u − 3.41375
5.88424u
183
+ 5.16103u
182
+ ··· − 14.7093u − 0.478162
a
9
=
8.94054u
183
+ 10.3815u
182
+ ··· − 18.1718u − 3.76267
5.58760u
183
+ 5.26207u
182
+ ··· − 12.7870u − 1.09202
a
4
=
−4.44465u
183
− 7.51045u
182
+ ··· + 5.62935u + 5.70928
−3.45874u
183
− 3.75085u
182
+ ··· + 9.20127u + 1.27427
a
1
=
−21.0857u
183
− 26.4945u
182
+ ··· − 0.618143u + 16.9348
−12.0198u
183
− 12.1542u
182
+ ··· + 11.9164u + 3.30388
a
10
=
24.0006u
183
+ 7.84552u
182
+ ··· − 102.839u + 29.2947
6.94557u
183
− 0.574113u
182
+ ··· − 38.7545u + 13.4882
(ii) Obstruction class = −1
(iii) Cusp Shapes = −23.1352u
183
− 21.1220u
182
+ ··· + 42.3192u + 9.71975
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
184
− 4u
183
+ ··· − 71040737947u + 8873630559
c
2
, c
6
u
184
− u
183
+ ··· − 2u − 1
c
3
, c
8
u
184
+ u
183
+ ··· − 123190029u + 17977599
c
4
u
184
+ 3u
183
+ ··· − 822455u − 157289
c
5
u
184
+ u
183
+ ··· − 22u − 3
c
7
u
184
+ 17u
183
+ ··· + 108u + 49
c
9
, c
12
u
184
− 14u
183
+ ··· − 244560u + 39592
c
10
u
184
− 13u
183
+ ··· + 4409u − 1081
c
11
u
184
− 5u
183
+ ··· − 57u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
184
− 48y
183
+ ··· − 2.97 × 10
21
y + 7.87 × 10
19
c
2
, c
6
y
184
+ 95y
183
+ ··· + 52y + 1
c
3
, c
8
y
184
− 145y
183
+ ··· − 6975999890891991y + 323194065804801
c
4
y
184
+ 57y
183
+ ··· + 1925713891789y + 24739829521
c
5
y
184
− 11y
183
+ ··· − 1072y + 9
c
7
y
184
− 9y
183
+ ··· − 210604y + 2401
c
9
, c
12
y
184
+ 120y
183
+ ··· + 108376113824y + 1567526464
c
10
y
184
+ 19y
183
+ ··· + 407531937y + 1168561
c
11
y
184
− 31y
183
+ ··· − 179y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.328666 + 0.923922I
a = −0.337659 − 0.238911I
b = −0.170979 − 1.240740I
−4.23227 − 3.34748I 0
u = 0.328666 − 0.923922I
a = −0.337659 + 0.238911I
b = −0.170979 + 1.240740I
−4.23227 + 3.34748I 0
u = 0.281174 + 0.982315I
a = 0.359990 + 0.210848I
b = 1.29550 + 1.10202I
−5.73999 − 1.00560I 0
u = 0.281174 − 0.982315I
a = 0.359990 − 0.210848I
b = 1.29550 − 1.10202I
−5.73999 + 1.00560I 0
u = 0.932460 + 0.245380I
a = 0.837280 − 1.035300I
b = 0.0984925 + 0.0643776I
1.61224 − 8.91293I 0
u = 0.932460 − 0.245380I
a = 0.837280 + 1.035300I
b = 0.0984925 − 0.0643776I
1.61224 + 8.91293I 0
u = 0.954235 + 0.402904I
a = −0.620648 + 1.058490I
b = −0.0242627 − 0.0856250I
4.31278 − 4.19799I 0
u = 0.954235 − 0.402904I
a = −0.620648 − 1.058490I
b = −0.0242627 + 0.0856250I
4.31278 + 4.19799I 0
u = 1.017440 + 0.228660I
a = 0.401725 + 0.757657I
b = 0.317209 + 0.836250I
1.02142 + 3.54450I 0
u = 1.017440 − 0.228660I
a = 0.401725 − 0.757657I
b = 0.317209 − 0.836250I
1.02142 − 3.54450I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.742133 + 0.569313I
a = 0.882782 + 0.587740I
b = 0.027380 + 0.526989I
−0.90654 − 2.78152I 0
u = −0.742133 − 0.569313I
a = 0.882782 − 0.587740I
b = 0.027380 − 0.526989I
−0.90654 + 2.78152I 0
u = −0.395282 + 0.997311I
a = 0.914452 + 0.863382I
b = 1.63177 + 0.10048I
−2.21984 − 0.05198I 0
u = −0.395282 − 0.997311I
a = 0.914452 − 0.863382I
b = 1.63177 − 0.10048I
−2.21984 + 0.05198I 0
u = −0.516582 + 0.945564I
a = 0.49283 − 1.74278I
b = 0.82041 − 1.17844I
1.36616 − 1.84748I 0
u = −0.516582 − 0.945564I
a = 0.49283 + 1.74278I
b = 0.82041 + 1.17844I
1.36616 + 1.84748I 0
u = −0.479603 + 0.784159I
a = −0.897211 − 0.596535I
b = −0.744257 − 0.439217I
−1.61001 − 2.03708I 0
u = −0.479603 − 0.784159I
a = −0.897211 + 0.596535I
b = −0.744257 + 0.439217I
−1.61001 + 2.03708I 0
u = −0.407113 + 1.008750I
a = −0.98531 + 1.47233I
b = −1.52746 + 1.13774I
−2.18677 − 5.95841I 0
u = −0.407113 − 1.008750I
a = −0.98531 − 1.47233I
b = −1.52746 − 1.13774I
−2.18677 + 5.95841I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.386401 + 0.817211I
a = −0.203956 + 0.830260I
b = −0.159541 − 1.196870I
2.45806 + 0.61893I 0
u = 0.386401 − 0.817211I
a = −0.203956 − 0.830260I
b = −0.159541 + 1.196870I
2.45806 − 0.61893I 0
u = −1.046150 + 0.332738I
a = −0.1227220 + 0.0159749I
b = 0.424953 − 0.507347I
0.29483 − 2.54882I 0
u = −1.046150 − 0.332738I
a = −0.1227220 − 0.0159749I
b = 0.424953 + 0.507347I
0.29483 + 2.54882I 0
u = 0.305621 + 0.839689I
a = 0.451118 − 0.745475I
b = 0.53162 + 1.38599I
−0.04717 + 5.21582I 0
u = 0.305621 − 0.839689I
a = 0.451118 + 0.745475I
b = 0.53162 − 1.38599I
−0.04717 − 5.21582I 0
u = 0.102778 + 1.102560I
a = −0.289562 − 0.337758I
b = −0.915694 − 0.515381I
−1.38744 − 1.57426I 0
u = 0.102778 − 1.102560I
a = −0.289562 + 0.337758I
b = −0.915694 + 0.515381I
−1.38744 + 1.57426I 0
u = −0.836195 + 0.738359I
a = −0.022615 − 0.420518I
b = 0.530676 − 0.335424I
0.53731 − 2.71696I 0
u = −0.836195 − 0.738359I
a = −0.022615 + 0.420518I
b = 0.530676 + 0.335424I
0.53731 + 2.71696I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.058620 + 0.359379I
a = −0.629799 + 0.183331I
b = 0.0755610 + 0.0941588I
2.95384 − 4.28359I 0
u = −1.058620 − 0.359379I
a = −0.629799 − 0.183331I
b = 0.0755610 − 0.0941588I
2.95384 + 4.28359I 0
u = −0.234597 + 1.093200I
a = 0.855601 + 0.763460I
b = 2.06976 + 0.90235I
−5.95286 − 2.79198I 0
u = −0.234597 − 1.093200I
a = 0.855601 − 0.763460I
b = 2.06976 − 0.90235I
−5.95286 + 2.79198I 0
u = −0.875789 + 0.085333I
a = 0.980339 − 0.393564I
b = −0.003387 − 0.152822I
2.58017 − 0.01612I 0
u = −0.875789 − 0.085333I
a = 0.980339 + 0.393564I
b = −0.003387 + 0.152822I
2.58017 + 0.01612I 0
u = −0.716125 + 0.500928I
a = −0.751351 − 0.879330I
b = 0.160617 − 0.584912I
0.14160 − 2.74021I 0
u = −0.716125 − 0.500928I
a = −0.751351 + 0.879330I
b = 0.160617 + 0.584912I
0.14160 + 2.74021I 0
u = −0.076671 + 0.866866I
a = −0.24748 − 1.49759I
b = −1.209750 − 0.282047I
−4.71081 + 1.61436I 0
u = −0.076671 − 0.866866I
a = −0.24748 + 1.49759I
b = −1.209750 + 0.282047I
−4.71081 − 1.61436I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.439982 + 1.046660I
a = −1.268990 − 0.479427I
b = −1.88839 − 0.77911I
−0.87427 − 3.56380I 0
u = −0.439982 − 1.046660I
a = −1.268990 + 0.479427I
b = −1.88839 + 0.77911I
−0.87427 + 3.56380I 0
u = −0.559459 + 0.990612I
a = 1.076900 + 0.316696I
b = 1.35625 + 0.67086I
−1.22853 − 2.11504I 0
u = −0.559459 − 0.990612I
a = 1.076900 − 0.316696I
b = 1.35625 − 0.67086I
−1.22853 + 2.11504I 0
u = 0.048454 + 0.848204I
a = −0.779682 − 1.070800I
b = −1.145820 + 0.165807I
−1.66325 − 2.67840I 0
u = 0.048454 − 0.848204I
a = −0.779682 + 1.070800I
b = −1.145820 − 0.165807I
−1.66325 + 2.67840I 0
u = 0.684155 + 0.497669I
a = 0.404608 + 0.408649I
b = −0.174427 + 0.086705I
−1.73029 − 0.93389I 0
u = 0.684155 − 0.497669I
a = 0.404608 − 0.408649I
b = −0.174427 − 0.086705I
−1.73029 + 0.93389I 0
u = 0.098377 + 0.839720I
a = −0.405353 + 1.132110I
b = 0.260415 − 1.036450I
−3.45130 + 5.18108I 0
u = 0.098377 − 0.839720I
a = −0.405353 − 1.132110I
b = 0.260415 + 1.036450I
−3.45130 − 5.18108I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.234639 + 1.136980I
a = −0.392035 − 0.377420I
b = −0.875694 − 0.346315I
−1.33306 − 1.70403I 0
u = −0.234639 − 1.136980I
a = −0.392035 + 0.377420I
b = −0.875694 + 0.346315I
−1.33306 + 1.70403I 0
u = −0.367582 + 1.122900I
a = −1.116720 − 0.536632I
b = −1.94737 − 0.92939I
−1.12999 − 3.80246I 0
u = −0.367582 − 1.122900I
a = −1.116720 + 0.536632I
b = −1.94737 + 0.92939I
−1.12999 + 3.80246I 0
u = 0.605279 + 1.015050I
a = −0.999021 + 0.169632I
b = −2.33491 + 0.60399I
−3.63955 + 7.18297I 0
u = 0.605279 − 1.015050I
a = −0.999021 − 0.169632I
b = −2.33491 − 0.60399I
−3.63955 − 7.18297I 0
u = 0.260915 + 0.765957I
a = −0.036896 + 0.185567I
b = −2.10271 + 0.45733I
0.21605 − 2.34849I 0
u = 0.260915 − 0.765957I
a = −0.036896 − 0.185567I
b = −2.10271 − 0.45733I
0.21605 + 2.34849I 0
u = 0.537647 + 1.072600I
a = 1.317540 − 0.141462I
b = 2.34754 − 0.83714I
−2.86655 + 9.64651I 0
u = 0.537647 − 1.072600I
a = 1.317540 + 0.141462I
b = 2.34754 + 0.83714I
−2.86655 − 9.64651I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.333919 + 0.717506I
a = 0.268066 − 0.342195I
b = 2.59020 − 0.47265I
2.78920 + 2.76787I 0
u = 0.333919 − 0.717506I
a = 0.268066 + 0.342195I
b = 2.59020 + 0.47265I
2.78920 − 2.76787I 0
u = −0.333894 + 1.167410I
a = 1.129530 + 0.411509I
b = 2.00594 + 1.02466I
−2.07419 − 7.73209I 0
u = −0.333894 − 1.167410I
a = 1.129530 − 0.411509I
b = 2.00594 − 1.02466I
−2.07419 + 7.73209I 0
u = 0.501635 + 1.108730I
a = −1.353990 + 0.309421I
b = −2.23528 + 0.81907I
−1.99883 + 8.46741I 0
u = 0.501635 − 1.108730I
a = −1.353990 − 0.309421I
b = −2.23528 − 0.81907I
−1.99883 − 8.46741I 0
u = −0.419293 + 1.144830I
a = −0.812068 + 0.252464I
b = −2.07568 − 0.85191I
−8.69619 − 9.59606I 0
u = −0.419293 − 1.144830I
a = −0.812068 − 0.252464I
b = −2.07568 + 0.85191I
−8.69619 + 9.59606I 0
u = 0.640452 + 0.434618I
a = −0.46007 + 1.69091I
b = 0.486726 + 0.141249I
−0.97778 − 5.02063I 0
u = 0.640452 − 0.434618I
a = −0.46007 − 1.69091I
b = 0.486726 − 0.141249I
−0.97778 + 5.02063I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.028026 + 0.762209I
a = −0.34995 + 2.09230I
b = 0.049671 + 0.551414I
1.20764 + 2.00995I 0
u = −0.028026 − 0.762209I
a = −0.34995 − 2.09230I
b = 0.049671 − 0.551414I
1.20764 − 2.00995I 0
u = 0.435567 + 1.158280I
a = −0.49408 − 1.76943I
b = −0.89729 − 1.21336I
−5.86458 + 11.37010I 0
u = 0.435567 − 1.158280I
a = −0.49408 + 1.76943I
b = −0.89729 + 1.21336I
−5.86458 − 11.37010I 0
u = −1.014410 + 0.720047I
a = 0.239715 + 1.213540I
b = 0.0238577 + 0.1296900I
−5.33470 + 0.59771I 0
u = −1.014410 − 0.720047I
a = 0.239715 − 1.213540I
b = 0.0238577 − 0.1296900I
−5.33470 − 0.59771I 0
u = −0.410857 + 1.178470I
a = 0.375001 + 0.455285I
b = 1.18080 − 1.41938I
−6.47721 − 10.97930I 0
u = −0.410857 − 1.178470I
a = 0.375001 − 0.455285I
b = 1.18080 + 1.41938I
−6.47721 + 10.97930I 0
u = −0.644231 + 0.372872I
a = 0.447550 − 0.173413I
b = −1.267090 + 0.225983I
−5.33586 − 6.28246I 0
u = −0.644231 − 0.372872I
a = 0.447550 + 0.173413I
b = −1.267090 − 0.225983I
−5.33586 + 6.28246I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.438705 + 1.177180I
a = −1.54908 + 0.43391I
b = −2.10095 + 0.63619I
−2.94278 + 7.44361I 0
u = 0.438705 − 1.177180I
a = −1.54908 − 0.43391I
b = −2.10095 − 0.63619I
−2.94278 − 7.44361I 0
u = −0.382326 + 1.197740I
a = 0.721448 + 0.109899I
b = 2.03743 + 0.82252I
−4.22919 − 6.26560I 0
u = −0.382326 − 1.197740I
a = 0.721448 − 0.109899I
b = 2.03743 − 0.82252I
−4.22919 + 6.26560I 0
u = −0.033716 + 0.738210I
a = 0.84910 − 1.98834I
b = 0.574428 − 0.270139I
0.24310 + 6.09666I 0
u = −0.033716 − 0.738210I
a = 0.84910 + 1.98834I
b = 0.574428 + 0.270139I
0.24310 − 6.09666I 0
u = 0.529876 + 1.145710I
a = −0.708720 − 0.047149I
b = −1.72054 − 0.23689I
−7.39934 + 3.53210I 0
u = 0.529876 − 1.145710I
a = −0.708720 + 0.047149I
b = −1.72054 + 0.23689I
−7.39934 − 3.53210I 0
u = 0.442939 + 1.182310I
a = 0.866422 + 0.102242I
b = 2.17875 − 0.05556I
−7.80553 + 4.86185I 0
u = 0.442939 − 1.182310I
a = 0.866422 − 0.102242I
b = 2.17875 + 0.05556I
−7.80553 − 4.86185I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.393652 + 1.211750I
a = 0.21775 + 1.75107I
b = 0.443968 + 1.025100I
−0.87631 + 4.82402I 0
u = 0.393652 − 1.211750I
a = 0.21775 − 1.75107I
b = 0.443968 − 1.025100I
−0.87631 − 4.82402I 0
u = −0.087241 + 0.719984I
a = −2.34275 + 0.61256I
b = −2.33447 + 0.79117I
−0.53378 + 3.17236I 0
u = −0.087241 − 0.719984I
a = −2.34275 − 0.61256I
b = −2.33447 − 0.79117I
−0.53378 − 3.17236I 0
u = −0.748779 + 1.038760I
a = 0.365359 − 0.150185I
b = 0.770047 − 0.017026I
0.40911 − 2.74174I 0
u = −0.748779 − 1.038760I
a = 0.365359 + 0.150185I
b = 0.770047 + 0.017026I
0.40911 + 2.74174I 0
u = −1.229120 + 0.362344I
a = 0.465705 + 0.983824I
b = −0.0368071 − 0.0127765I
−3.4044 + 14.3626I 0
u = −1.229120 − 0.362344I
a = 0.465705 − 0.983824I
b = −0.0368071 + 0.0127765I
−3.4044 − 14.3626I 0
u = 0.466760 + 1.194170I
a = 1.33115 − 0.73487I
b = 2.18556 − 0.70231I
−9.5040 + 10.9406I 0
u = 0.466760 − 1.194170I
a = 1.33115 + 0.73487I
b = 2.18556 + 0.70231I
−9.5040 − 10.9406I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.558332 + 1.161560I
a = 0.443192 + 0.167744I
b = 0.501884 + 0.269382I
−2.20499 − 1.02816I 0
u = 0.558332 − 1.161560I
a = 0.443192 − 0.167744I
b = 0.501884 − 0.269382I
−2.20499 + 1.02816I 0
u = −0.285330 + 1.258170I
a = −0.637101 − 0.450925I
b = −1.89429 − 1.05798I
−6.47059 − 5.52853I 0
u = −0.285330 − 1.258170I
a = −0.637101 + 0.450925I
b = −1.89429 + 1.05798I
−6.47059 + 5.52853I 0
u = 0.149208 + 0.690518I
a = 0.91398 − 1.08084I
b = 0.507391 + 0.855322I
−0.72543 + 4.34633I 0
u = 0.149208 − 0.690518I
a = 0.91398 + 1.08084I
b = 0.507391 − 0.855322I
−0.72543 − 4.34633I 0
u = −0.387714 + 1.234250I
a = −0.270639 − 0.660009I
b = −0.655789 + 1.049870I
−1.42165 − 5.04521I 0
u = −0.387714 − 1.234250I
a = −0.270639 + 0.660009I
b = −0.655789 − 1.049870I
−1.42165 + 5.04521I 0
u = −0.531578 + 1.185050I
a = 0.372724 + 0.181043I
b = 1.17027 − 0.84612I
−7.86948 + 1.40734I 0
u = −0.531578 − 1.185050I
a = 0.372724 − 0.181043I
b = 1.17027 + 0.84612I
−7.86948 − 1.40734I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.431204 + 1.225640I
a = 1.319220 + 0.005708I
b = 1.65394 − 0.15921I
−2.77505 + 1.47441I 0
u = 0.431204 − 1.225640I
a = 1.319220 − 0.005708I
b = 1.65394 + 0.15921I
−2.77505 − 1.47441I 0
u = −0.626526 + 0.312049I
a = −1.17416 + 0.87841I
b = −2.10004 − 0.32376I
−2.84820 − 7.42093I 0
u = −0.626526 − 0.312049I
a = −1.17416 − 0.87841I
b = −2.10004 + 0.32376I
−2.84820 + 7.42093I 0
u = 0.680546 + 0.036182I
a = −1.43002 − 1.24968I
b = −0.722558 − 0.480001I
−6.14873 + 6.63023I 0
u = 0.680546 − 0.036182I
a = −1.43002 + 1.24968I
b = −0.722558 + 0.480001I
−6.14873 − 6.63023I 0
u = 0.678918 + 0.002816I
a = −0.217258 + 1.174120I
b = 0.149928 − 0.325133I
−4.46591 − 0.70645I 0
u = 0.678918 − 0.002816I
a = −0.217258 − 1.174120I
b = 0.149928 + 0.325133I
−4.46591 + 0.70645I 0
u = 0.504277 + 0.453511I
a = 0.16964 − 1.44820I
b = −0.346566 + 0.366879I
−2.28472 − 2.65617I 0
u = 0.504277 − 0.453511I
a = 0.16964 + 1.44820I
b = −0.346566 − 0.366879I
−2.28472 + 2.65617I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.475985 + 1.235950I
a = −0.856491 − 0.678835I
b = −1.260310 − 0.622777I
−9.45377 − 2.03390I 0
u = 0.475985 − 1.235950I
a = −0.856491 + 0.678835I
b = −1.260310 + 0.622777I
−9.45377 + 2.03390I 0
u = 0.621220 + 1.187460I
a = 1.041710 − 0.347191I
b = 2.18949 − 0.71861I
1.81905 + 9.95689I 0
u = 0.621220 − 1.187460I
a = 1.041710 + 0.347191I
b = 2.18949 + 0.71861I
1.81905 − 9.95689I 0
u = −0.486092 + 1.258670I
a = −0.384993 − 0.183344I
b = −1.46208 + 0.06014I
−3.25832 − 3.00238I 0
u = −0.486092 − 1.258670I
a = −0.384993 + 0.183344I
b = −1.46208 − 0.06014I
−3.25832 + 3.00238I 0
u = −0.121481 + 0.637178I
a = 0.42518 + 2.34989I
b = 0.526236 + 1.049380I
1.005360 + 0.434589I 0
u = −0.121481 − 0.637178I
a = 0.42518 − 2.34989I
b = 0.526236 − 1.049380I
1.005360 − 0.434589I 0
u = 0.579713 + 1.222030I
a = −1.045860 + 0.425970I
b = −2.20744 + 0.77329I
−1.3828 + 14.4203I 0
u = 0.579713 − 1.222030I
a = −1.045860 − 0.425970I
b = −2.20744 − 0.77329I
−1.3828 − 14.4203I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.560736 + 1.238130I
a = 0.33357 − 1.37575I
b = 0.457247 − 0.403555I
−5.06328 − 2.93367I 0
u = 0.560736 − 1.238130I
a = 0.33357 + 1.37575I
b = 0.457247 + 0.403555I
−5.06328 + 2.93367I 0
u = −0.381854 + 1.309230I
a = 0.483878 + 0.316618I
b = 1.57718 + 0.83332I
−5.21829 − 6.30403I 0
u = −0.381854 − 1.309230I
a = 0.483878 − 0.316618I
b = 1.57718 − 0.83332I
−5.21829 + 6.30403I 0
u = −0.586489 + 1.234750I
a = −0.161095 + 0.910798I
b = −0.587222 − 0.434167I
−5.35813 + 2.29755I 0
u = −0.586489 − 1.234750I
a = −0.161095 − 0.910798I
b = −0.587222 + 0.434167I
−5.35813 − 2.29755I 0
u = 0.532139 + 0.339530I
a = 0.78760 − 1.92564I
b = −0.279614 − 0.480796I
0.25837 − 4.18569I 0
u = 0.532139 − 0.339530I
a = 0.78760 + 1.92564I
b = −0.279614 + 0.480796I
0.25837 + 4.18569I 0
u = 0.424533 + 0.457543I
a = −0.601128 + 0.966135I
b = −2.62729 + 0.33199I
−2.78160 + 7.86072I 0
u = 0.424533 − 0.457543I
a = −0.601128 − 0.966135I
b = −2.62729 − 0.33199I
−2.78160 − 7.86072I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.299930 + 1.348740I
a = 0.307734 + 0.389827I
b = 0.717305 + 0.570666I
−3.42562 − 4.81037I 0
u = 0.299930 − 1.348740I
a = 0.307734 − 0.389827I
b = 0.717305 − 0.570666I
−3.42562 + 4.81037I 0
u = −0.009285 + 1.387790I
a = 0.911430 − 0.342162I
b = 1.72700 − 0.63436I
−13.06760 − 2.06050I 0
u = −0.009285 − 1.387790I
a = 0.911430 + 0.342162I
b = 1.72700 + 0.63436I
−13.06760 + 2.06050I 0
u = −0.364258 + 0.491297I
a = 2.18850 − 0.87635I
b = 2.21922 − 0.25619I
2.57513 − 2.17826I 0
u = −0.364258 − 0.491297I
a = 2.18850 + 0.87635I
b = 2.21922 + 0.25619I
2.57513 + 2.17826I 0
u = −1.340200 + 0.442820I
a = −0.350239 − 0.961117I
b = 0.0265961 − 0.0214565I
1.12294 + 7.63354I 0
u = −1.340200 − 0.442820I
a = −0.350239 + 0.961117I
b = 0.0265961 + 0.0214565I
1.12294 − 7.63354I 0
u = 0.54172 + 1.31098I
a = −0.793555 + 0.067582I
b = −1.72633 + 0.19276I
−7.18117 + 3.46375I 0
u = 0.54172 − 1.31098I
a = −0.793555 − 0.067582I
b = −1.72633 − 0.19276I
−7.18117 − 3.46375I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.43372 + 0.24567I
a = 0.150656 − 0.565626I
b = −0.0073340 + 0.0463185I
−3.04370 + 3.26515I 0
u = 1.43372 − 0.24567I
a = 0.150656 + 0.565626I
b = −0.0073340 − 0.0463185I
−3.04370 − 3.26515I 0
u = 0.79036 + 1.22142I
a = 0.571387 − 0.080867I
b = 1.091120 − 0.114019I
−3.21763 + 7.33631I 0
u = 0.79036 − 1.22142I
a = 0.571387 + 0.080867I
b = 1.091120 + 0.114019I
−3.21763 − 7.33631I 0
u = −0.70331 + 1.29448I
a = −1.106360 − 0.296809I
b = −2.21950 − 0.64052I
−6.4156 − 21.1557I 0
u = −0.70331 − 1.29448I
a = −1.106360 + 0.296809I
b = −2.21950 + 0.64052I
−6.4156 + 21.1557I 0
u = 1.47992
a = 1.25035
b = 2.31492
4.37762 0
u = −0.64482 + 1.34748I
a = −0.274879 − 0.147474I
b = −0.703282 − 0.402575I
−1.52586 − 5.48848I 0
u = −0.64482 − 1.34748I
a = −0.274879 + 0.147474I
b = −0.703282 + 0.402575I
−1.52586 + 5.48848I 0
u = −0.73398 + 1.32142I
a = 1.094620 + 0.279510I
b = 2.15652 + 0.58388I
−1.8697 − 14.8720I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.73398 − 1.32142I
a = 1.094620 − 0.279510I
b = 2.15652 − 0.58388I
−1.8697 + 14.8720I 0
u = 0.13874 + 1.51266I
a = −0.855324 + 0.186569I
b = −1.69591 + 0.43417I
−7.77783 + 2.76114I 0
u = 0.13874 − 1.51266I
a = −0.855324 − 0.186569I
b = −1.69591 − 0.43417I
−7.77783 − 2.76114I 0
u = −0.86516 + 1.25205I
a = −1.131250 − 0.221950I
b = −2.18588 − 0.41943I
−6.83508 − 7.82853I 0
u = −0.86516 − 1.25205I
a = −1.131250 + 0.221950I
b = −2.18588 + 0.41943I
−6.83508 + 7.82853I 0
u = 0.79129 + 1.31224I
a = −0.553306 + 0.165597I
b = −1.049560 + 0.356361I
−6.7736 + 12.5061I 0
u = 0.79129 − 1.31224I
a = −0.553306 − 0.165597I
b = −1.049560 − 0.356361I
−6.7736 − 12.5061I 0
u = −1.54495
a = 1.04997
b = 2.27159
4.12895 0
u = 1.28041 + 0.97788I
a = −0.127772 − 0.161756I
b = −0.0725560 − 0.0134018I
−4.59353 − 4.59420I 0
u = 1.28041 − 0.97788I
a = −0.127772 + 0.161756I
b = −0.0725560 + 0.0134018I
−4.59353 + 4.59420I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.01737 + 1.61759I
a = 0.721751 − 0.207824I
b = 1.47941 − 0.44915I
−11.0891 + 9.1802I 0
u = −0.01737 − 1.61759I
a = 0.721751 + 0.207824I
b = 1.47941 + 0.44915I
−11.0891 − 9.1802I 0
u = −0.056667 + 0.364599I
a = −1.79478 + 1.99428I
b = −1.31241 − 0.99237I
−5.84036 + 6.42157I −6.50283 − 7.08750I
u = −0.056667 − 0.364599I
a = −1.79478 − 1.99428I
b = −1.31241 + 0.99237I
−5.84036 − 6.42157I −6.50283 + 7.08750I
u = −0.367161 + 0.021594I
a = 2.38105 + 0.67609I
b = 0.410158 + 0.339605I
1.341490 + 0.260034I 8.08018 − 0.36010I
u = −0.367161 − 0.021594I
a = 2.38105 − 0.67609I
b = 0.410158 − 0.339605I
1.341490 − 0.260034I 8.08018 + 0.36010I
u = 0.280458 + 0.237248I
a = 1.22026 − 2.94290I
b = −0.272947 − 0.974716I
0.14519 − 3.92695I 4.54903 + 6.35739I
u = 0.280458 − 0.237248I
a = 1.22026 + 2.94290I
b = −0.272947 + 0.974716I
0.14519 + 3.92695I 4.54903 − 6.35739I
u = −0.295649 + 0.049688I
a = −0.71478 − 2.85769I
b = −1.019320 − 0.393889I
−0.06780 − 2.95860I 2.64101 + 4.26437I
u = −0.295649 − 0.049688I
a = −0.71478 + 2.85769I
b = −1.019320 + 0.393889I
−0.06780 + 2.95860I 2.64101 − 4.26437I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.212153 + 0.098592I
a = −3.40214 − 2.30592I
b = −2.48630 + 0.62101I
−2.85425 − 7.75924I 8.58633 + 5.61559I
u = 0.212153 − 0.098592I
a = −3.40214 + 2.30592I
b = −2.48630 − 0.62101I
−2.85425 + 7.75924I 8.58633 − 5.61559I
u = −0.036843 + 0.185102I
a = 4.82062 − 1.56314I
b = 1.95759 − 1.02958I
2.49486 − 2.18042I 9.71403 − 2.99560I
u = −0.036843 − 0.185102I
a = 4.82062 + 1.56314I
b = 1.95759 + 1.02958I
2.49486 + 2.18042I 9.71403 + 2.99560I
23
II. I
u
2
=
h4.74×10
39
u
49
+1.09×10
39
u
48
+· · ·+2.55×10
37
b−7.04×10
39
, 1.73×10
39
u
49
+
8.72 × 10
38
u
48
+ · · · + 2.55 × 10
37
a − 5.63 × 10
39
, u
50
+ 11u
48
+ · · · − 3u − 1i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
−u
2
a
7
=
u
u
a
11
=
−67.9334u
49
− 34.1864u
48
+ ··· + 683.170u + 220.776
−185.811u
49
− 42.6397u
48
+ ··· + 1200.50u + 275.850
a
12
=
−27.9405u
49
− 34.5330u
48
+ ··· + 539.933u + 212.323
−145.818u
49
− 42.9863u
48
+ ··· + 1057.26u + 267.396
a
5
=
13.5587u
49
+ 17.3451u
48
+ ··· − 286.224u − 148.001
38.9066u
49
− 16.9715u
48
+ ··· − 111.942u − 43.9213
a
8
=
23.7797u
49
− 66.3102u
48
+ ··· + 277.180u + 211.433
−36.1519u
49
+ 14.5509u
48
+ ··· + 25.2987u + 25.8393
a
9
=
46.0551u
49
− 94.2234u
48
+ ··· + 427.033u + 251.903
−20.8778u
49
− 2.80492u
48
+ ··· + 86.7631u + 53.7526
a
4
=
−127.068u
49
+ 108.289u
48
+ ··· − 275.283u − 252.540
50.3715u
49
+ 41.3419u
48
+ ··· − 359.296u − 96.9338
a
1
=
55.6720u
49
− 25.1811u
48
+ ··· + 85.3437u + 176.744
−98.1535u
49
− 3.95321u
48
+ ··· + 306.071u + 47.2524
a
10
=
23.1558u
49
− 29.2941u
48
+ ··· − 198.985u + 32.1204
−108.278u
49
− 25.9694u
48
+ ··· + 596.049u + 136.726
(ii) Obstruction class = 1
(iii) Cusp Shapes = −221.739u
49
+ 57.4222u
48
+ ··· + 1695.90u + 57.7020
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
50
− 15u
49
+ ··· − 336u + 73
c
2
u
50
+ 11u
48
+ ··· − 3u − 1
c
3
u
50
− 2u
49
+ ··· − 6u + 1
c
4
u
50
+ 16u
48
+ ··· − 2u − 13
c
5
u
50
− 8u
48
+ ··· + u − 1
c
6
u
50
+ 11u
48
+ ··· + 3u − 1
c
7
u
50
− 2u
49
+ ··· − 11u + 1
c
8
u
50
+ 2u
49
+ ··· + 6u + 1
c
9
u
50
+ 15u
49
+ ··· + 84u + 8
c
10
u
50
+ 6u
49
+ ··· − 16u − 1
c
11
u
50
− 16u
48
+ ··· + 6u − 1
c
12
u
50
− 15u
49
+ ··· − 84u + 8
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
50
+ 3y
49
+ ··· − 93040y + 5329
c
2
, c
6
y
50
+ 22y
49
+ ··· + 37y + 1
c
3
, c
8
y
50
− 46y
49
+ ··· − 38y + 1
c
4
y
50
+ 32y
49
+ ··· + 1582y + 169
c
5
y
50
− 16y
49
+ ··· + 29y + 1
c
7
y
50
+ 2y
49
+ ··· − 23y + 1
c
9
, c
12
y
50
+ 27y
49
+ ··· + 1136y + 64
c
10
y
50
+ 6y
49
+ ··· − 34y + 1
c
11
y
50
− 32y
49
+ ··· − 10y + 1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.311314 + 0.961299I
a = −1.260280 − 0.212570I
b = −1.69903 − 0.69233I
−1.71505 − 4.81287I 0. + 7.72941I
u = −0.311314 − 0.961299I
a = −1.260280 + 0.212570I
b = −1.69903 + 0.69233I
−1.71505 + 4.81287I 0. − 7.72941I
u = −0.491983 + 0.820271I
a = −0.08617 − 1.46946I
b = 0.344328 − 0.851474I
1.03095 − 2.07390I 2.00000 + 5.52885I
u = −0.491983 − 0.820271I
a = −0.08617 + 1.46946I
b = 0.344328 + 0.851474I
1.03095 + 2.07390I 2.00000 − 5.52885I
u = −0.856383 + 0.401483I
a = 0.389445 − 0.648763I
b = 0.652773 − 0.905898I
2.14362 − 3.24414I 7.89410 + 5.39245I
u = −0.856383 − 0.401483I
a = 0.389445 + 0.648763I
b = 0.652773 + 0.905898I
2.14362 + 3.24414I 7.89410 − 5.39245I
u = 0.921310 + 0.026987I
a = −0.855716 + 0.848061I
b = 0.120560 + 0.229680I
1.37009 − 5.25079I 4.09436 + 7.50320I
u = 0.921310 − 0.026987I
a = −0.855716 − 0.848061I
b = 0.120560 − 0.229680I
1.37009 + 5.25079I 4.09436 − 7.50320I
u = −0.524277 + 0.724032I
a = 0.55769 + 1.37341I
b = 0.795311 − 0.011131I
−3.52888 + 0.75637I −0.732769 − 1.153097I
u = −0.524277 − 0.724032I
a = 0.55769 − 1.37341I
b = 0.795311 + 0.011131I
−3.52888 − 0.75637I −0.732769 + 1.153097I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.706071 + 0.891806I
a = −1.219190 + 0.096103I
b = −2.46538 + 0.50636I
−4.92503 + 8.29512I 0
u = 0.706071 − 0.891806I
a = −1.219190 − 0.096103I
b = −2.46538 − 0.50636I
−4.92503 − 8.29512I 0
u = 0.107748 + 0.842915I
a = −0.678808 + 1.122350I
b = −0.562760 − 0.615922I
−1.29972 + 4.52723I −5.99278 − 6.25358I
u = 0.107748 − 0.842915I
a = −0.678808 − 1.122350I
b = −0.562760 + 0.615922I
−1.29972 − 4.52723I −5.99278 + 6.25358I
u = −0.197529 + 0.788682I
a = −1.19282 + 0.78918I
b = −2.16341 + 0.11151I
−0.66103 + 2.57431I 0.749849 + 0.988331I
u = −0.197529 − 0.788682I
a = −1.19282 − 0.78918I
b = −2.16341 − 0.11151I
−0.66103 − 2.57431I 0.749849 − 0.988331I
u = −0.412671 + 1.113580I
a = −0.540685 + 0.250252I
b = −0.927252 − 0.237950I
−1.93667 − 4.94547I 0
u = −0.412671 − 1.113580I
a = −0.540685 − 0.250252I
b = −0.927252 + 0.237950I
−1.93667 + 4.94547I 0
u = −0.492505 + 1.081080I
a = 0.961469 + 0.244037I
b = 1.240530 + 0.523267I
−0.22248 − 1.71492I 0
u = −0.492505 − 1.081080I
a = 0.961469 − 0.244037I
b = 1.240530 − 0.523267I
−0.22248 + 1.71492I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.487128 + 1.121800I
a = 1.317400 − 0.262848I
b = 2.26371 − 0.88299I
−1.72644 + 9.51152I 0
u = 0.487128 − 1.121800I
a = 1.317400 + 0.262848I
b = 2.26371 + 0.88299I
−1.72644 − 9.51152I 0
u = 0.356765 + 1.177710I
a = −0.260999 + 0.888201I
b = −0.248398 − 0.267878I
−2.04507 + 5.08327I 0
u = 0.356765 − 1.177710I
a = −0.260999 − 0.888201I
b = −0.248398 + 0.267878I
−2.04507 − 5.08327I 0
u = −1.082990 + 0.645786I
a = −0.362304 − 0.201159I
b = 0.144381 − 0.235859I
0.89404 − 2.69476I 0
u = −1.082990 − 0.645786I
a = −0.362304 + 0.201159I
b = 0.144381 + 0.235859I
0.89404 + 2.69476I 0
u = 0.456332 + 1.186530I
a = 0.123211 − 0.671669I
b = 0.271516 + 0.364515I
−6.95608 + 10.37330I 0
u = 0.456332 − 1.186530I
a = 0.123211 + 0.671669I
b = 0.271516 − 0.364515I
−6.95608 − 10.37330I 0
u = −0.302571 + 1.244330I
a = 0.580494 + 0.304297I
b = 1.77607 + 1.04415I
−5.81695 − 6.06858I 0
u = −0.302571 − 1.244330I
a = 0.580494 − 0.304297I
b = 1.77607 − 1.04415I
−5.81695 + 6.06858I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.425760 + 1.235110I
a = −0.704285 − 0.359723I
b = −1.96648 − 0.73246I
−5.70718 − 4.92426I 0
u = −0.425760 − 1.235110I
a = −0.704285 + 0.359723I
b = −1.96648 + 0.73246I
−5.70718 + 4.92426I 0
u = −0.008165 + 0.691333I
a = 0.56308 − 1.33676I
b = 0.119390 + 1.158080I
−3.13476 + 4.72994I 1.004141 − 0.516519I
u = −0.008165 − 0.691333I
a = 0.56308 + 1.33676I
b = 0.119390 − 1.158080I
−3.13476 − 4.72994I 1.004141 + 0.516519I
u = −0.210061 + 0.622572I
a = 1.136170 − 0.813731I
b = 2.42003 − 0.63428I
2.20086 − 2.53041I −1.00937 + 8.63488I
u = −0.210061 − 0.622572I
a = 1.136170 + 0.813731I
b = 2.42003 + 0.63428I
2.20086 + 2.53041I −1.00937 − 8.63488I
u = −1.37605
a = 1.22902
b = 2.36409
4.57078 0
u = 0.455870 + 1.306860I
a = −0.326369 − 0.113765I
b = −0.570951 − 0.415211I
−2.26106 − 1.36420I 0
u = 0.455870 − 1.306860I
a = −0.326369 + 0.113765I
b = −0.570951 + 0.415211I
−2.26106 + 1.36420I 0
u = 0.670768 + 1.226860I
a = 0.019444 − 1.026060I
b = −0.054875 + 0.224017I
−5.97561 − 2.40304I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.670768 − 1.226860I
a = 0.019444 + 1.026060I
b = −0.054875 − 0.224017I
−5.97561 + 2.40304I 0
u = 0.211580 + 0.517270I
a = 0.36383 + 2.76930I
b = 0.568719 + 0.555516I
0.76429 − 5.92280I 8.72818 + 4.98523I
u = 0.211580 − 0.517270I
a = 0.36383 − 2.76930I
b = 0.568719 − 0.555516I
0.76429 + 5.92280I 8.72818 − 4.98523I
u = −0.030950 + 0.532122I
a = −1.33965 + 0.70106I
b = −3.24977 + 0.72633I
−3.21242 − 7.76874I −14.0711 + 6.2265I
u = −0.030950 − 0.532122I
a = −1.33965 − 0.70106I
b = −3.24977 − 0.72633I
−3.21242 + 7.76874I −14.0711 − 6.2265I
u = 1.05009 + 1.02803I
a = 0.060415 + 0.153440I
b = 0.036640 + 0.404618I
−4.47395 − 4.68220I 0
u = 1.05009 − 1.02803I
a = 0.060415 − 0.153440I
b = 0.036640 − 0.404618I
−4.47395 + 4.68220I 0
u = −0.187380 + 0.484980I
a = −1.40223 − 2.36655I
b = −0.148481 − 0.761387I
1.78652 − 2.28558I 9.94585 + 3.54508I
u = −0.187380 − 0.484980I
a = −1.40223 + 2.36655I
b = −0.148481 + 0.761387I
1.78652 + 2.28558I 9.94585 − 3.54508I
u = 1.59782
a = 1.08466
b = 2.24156
3.99852 0
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
50
− 15u
49
+ ··· − 336u + 73)
· (u
184
− 4u
183
+ ··· − 71040737947u + 8873630559)
c
2
(u
50
+ 11u
48
+ ··· − 3u − 1)(u
184
− u
183
+ ··· − 2u − 1)
c
3
(u
50
− 2u
49
+ ··· − 6u + 1)
· (u
184
+ u
183
+ ··· − 123190029u + 17977599)
c
4
(u
50
+ 16u
48
+ ··· − 2u − 13)(u
184
+ 3u
183
+ ··· − 822455u − 157289)
c
5
(u
50
− 8u
48
+ ··· + u − 1)(u
184
+ u
183
+ ··· − 22u − 3)
c
6
(u
50
+ 11u
48
+ ··· + 3u − 1)(u
184
− u
183
+ ··· − 2u − 1)
c
7
(u
50
− 2u
49
+ ··· − 11u + 1)(u
184
+ 17u
183
+ ··· + 108u + 49)
c
8
(u
50
+ 2u
49
+ ··· + 6u + 1)
· (u
184
+ u
183
+ ··· − 123190029u + 17977599)
c
9
(u
50
+ 15u
49
+ ··· + 84u + 8)(u
184
− 14u
183
+ ··· − 244560u + 39592)
c
10
(u
50
+ 6u
49
+ ··· − 16u − 1)(u
184
− 13u
183
+ ··· + 4409u − 1081)
c
11
(u
50
− 16u
48
+ ··· + 6u − 1)(u
184
− 5u
183
+ ··· − 57u − 1)
c
12
(u
50
− 15u
49
+ ··· − 84u + 8)(u
184
− 14u
183
+ ··· − 244560u + 39592)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
50
+ 3y
49
+ ··· − 93040y + 5329)
· (y
184
− 48y
183
+ ··· − 2.97 × 10
21
y + 7.87 × 10
19
)
c
2
, c
6
(y
50
+ 22y
49
+ ··· + 37y + 1)(y
184
+ 95y
183
+ ··· + 52y + 1)
c
3
, c
8
(y
50
− 46y
49
+ ··· − 38y + 1)
· (y
184
− 145y
183
+ ··· − 6975999890891991y + 323194065804801)
c
4
(y
50
+ 32y
49
+ ··· + 1582y + 169)
· (y
184
+ 57y
183
+ ··· + 1925713891789y + 24739829521)
c
5
(y
50
− 16y
49
+ ··· + 29y + 1)(y
184
− 11y
183
+ ··· − 1072y + 9)
c
7
(y
50
+ 2y
49
+ ··· − 23y + 1)(y
184
− 9y
183
+ ··· − 210604y + 2401)
c
9
, c
12
(y
50
+ 27y
49
+ ··· + 1136y + 64)
· (y
184
+ 120y
183
+ ··· + 108376113824y + 1567526464)
c
10
(y
50
+ 6y
49
+ ··· − 34y + 1)
· (y
184
+ 19y
183
+ ··· + 407531937y + 1168561)
c
11
(y
50
− 32y
49
+ ··· − 10y + 1)(y
184
− 31y
183
+ ··· − 179y + 1)
35
