12a
0366
(K12a
0366
)
A knot diagram
1
Linearized knot diagam
3 6 9 10 2 5 11 12 1 8 7 4
Solving Sequence
7,11
8 12
4,9
1 3 10 5 6 2
c
7
c
11
c
8
c
12
c
3
c
10
c
4
c
6
c
2
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.20161 × 10
100
u
98
− 1.07370 × 10
101
u
97
+ ··· + 5.32115 × 10
101
b − 4.79500 × 10
101
,
4.08591 × 10
101
u
98
− 9.54872 × 10
101
u
97
+ ··· + 5.32115 × 10
101
a + 2.76802 × 10
102
, u
99
− 2u
98
+ ··· + 10u − 1i
I
u
2
= hb − u + 1, −u
2
+ a − 2u − 1, u
3
+ u
2
+ 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 102 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h−1.20 × 10
100
u
98
− 1.07 × 10
101
u
97
+ · · · + 5.32 × 10
101
b − 4.80 ×
10
101
, 4.09 × 10
101
u
98
− 9.55 × 10
101
u
97
+ · · · + 5.32 × 10
101
a + 2.77 ×
10
102
, u
99
− 2u
98
+ · · · + 10u − 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
8
=
1
−u
2
a
12
=
u
u
a
4
=
−0.767862u
98
+ 1.79449u
97
+ ··· − 12.3985u − 5.20192
0.0225817u
98
+ 0.201779u
97
+ ··· − 1.34732u + 0.901122
a
9
=
−u
4
− u
2
+ 1
−u
4
− 2u
2
a
1
=
0.861849u
98
− 1.09544u
97
+ ··· + 2.79010u + 3.49312
0.0199269u
98
+ 0.608326u
97
+ ··· + 4.08418u − 0.841922
a
3
=
−0.725424u
98
+ 1.49057u
97
+ ··· − 16.5479u − 4.17999
0.00155011u
98
+ 0.0452744u
97
+ ··· − 2.59505u + 0.978516
a
10
=
−u
u
3
+ u
a
5
=
−0.725766u
98
+ 1.41165u
97
+ ··· − 14.9928u − 4.96501
0.00320677u
98
− 0.0365230u
97
+ ··· − 1.78152u + 0.962855
a
6
=
0.854628u
98
− 1.62697u
97
+ ··· − 5.36906u + 6.43646
0.0502721u
98
+ 0.0347137u
97
+ ··· + 0.693556u − 0.831628
a
2
=
−0.0293994u
98
+ 0.0890561u
97
+ ··· + 8.63836u − 1.36250
−0.0197781u
98
+ 0.0447446u
97
+ ··· + 2.48760u + 0.0270043
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.817358u
98
+ 1.60477u
97
+ ··· + 11.3028u − 8.84250
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
u
99
+ 30u
98
+ ··· + 11u + 1
c
2
, c
5
u
99
+ 4u
98
+ ··· − 3u + 1
c
3
u
99
− 2u
98
+ ··· − 30950u + 10543
c
4
u
99
+ 38u
97
+ ··· + 2168454u + 308593
c
7
, c
10
, c
11
u
99
+ 2u
98
+ ··· + 10u + 1
c
8
u
99
− 2u
98
+ ··· + 20112u + 7633
c
9
u
99
+ 7u
98
+ ··· − 4u − 8
c
12
u
99
+ 10u
98
+ ··· − u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
99
+ 82y
98
+ ··· + 267y −1
c
2
, c
5
y
99
− 30y
98
+ ··· + 11y −1
c
3
y
99
+ 132y
98
+ ··· − 3285085678y −111154849
c
4
y
99
+ 76y
98
+ ··· + 5233821340866y −95229639649
c
7
, c
10
, c
11
y
99
+ 84y
98
+ ··· + 146y −1
c
8
y
99
− 44y
98
+ ··· + 8103212674y −58262689
c
9
y
99
+ 21y
98
+ ··· − 1968y −64
c
12
y
99
− 10y
98
+ ··· + 11y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.934041 + 0.285611I
a = 0.0684546 − 0.1098530I
b = 0.760126 − 0.032980I
6.44395 − 4.31125I 0
u = −0.934041 − 0.285611I
a = 0.0684546 + 0.1098530I
b = 0.760126 + 0.032980I
6.44395 + 4.31125I 0
u = −0.945397 + 0.242380I
a = −0.0894131 + 0.0864711I
b = −0.777045 + 0.023858I
6.51992 + 1.59072I 0
u = −0.945397 − 0.242380I
a = −0.0894131 − 0.0864711I
b = −0.777045 − 0.023858I
6.51992 − 1.59072I 0
u = −0.619852 + 0.849329I
a = −0.191895 − 0.725655I
b = 0.451994 − 0.354754I
4.65474 − 1.02924I 0
u = −0.619852 − 0.849329I
a = −0.191895 + 0.725655I
b = 0.451994 + 0.354754I
4.65474 + 1.02924I 0
u = 0.489624 + 0.976166I
a = 1.11011 + 1.17258I
b = 0.862929 − 0.009132I
5.00008 − 8.91845I 0
u = 0.489624 − 0.976166I
a = 1.11011 − 1.17258I
b = 0.862929 + 0.009132I
5.00008 + 8.91845I 0
u = −0.607360 + 0.910741I
a = 0.158283 + 0.794060I
b = −0.453491 + 0.410887I
4.43226 − 6.94743I 0
u = −0.607360 − 0.910741I
a = 0.158283 − 0.794060I
b = −0.453491 − 0.410887I
4.43226 + 6.94743I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.465505 + 1.006420I
a = −1.13331 − 1.17177I
b = −0.868308 − 0.003082I
5.66290 − 2.75362I 0
u = 0.465505 − 1.006420I
a = −1.13331 + 1.17177I
b = −0.868308 + 0.003082I
5.66290 + 2.75362I 0
u = −0.295504 + 1.081280I
a = 0.274270 + 1.370950I
b = −0.157652 + 0.819914I
−1.54134 − 4.00958I 0
u = −0.295504 − 1.081280I
a = 0.274270 − 1.370950I
b = −0.157652 − 0.819914I
−1.54134 + 4.00958I 0
u = 0.848820 + 0.223053I
a = 0.1302910 − 0.0495279I
b = 1.63335 + 0.71600I
7.3252 + 13.6606I 0. − 8.92570I
u = 0.848820 − 0.223053I
a = 0.1302910 + 0.0495279I
b = 1.63335 − 0.71600I
7.3252 − 13.6606I 0. + 8.92570I
u = 0.307610 + 0.818157I
a = 1.08566 + 1.28137I
b = 0.697402 + 0.013200I
−1.99276 − 4.20196I 0
u = 0.307610 − 0.818157I
a = 1.08566 − 1.28137I
b = 0.697402 − 0.013200I
−1.99276 + 4.20196I 0
u = 0.844705 + 0.201410I
a = −0.113791 + 0.098540I
b = −1.62516 − 0.71635I
8.14139 + 7.42066I 5.24860 − 4.23174I
u = 0.844705 − 0.201410I
a = −0.113791 − 0.098540I
b = −1.62516 + 0.71635I
8.14139 − 7.42066I 5.24860 + 4.23174I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.248263 + 1.118570I
a = −1.32465 − 1.35187I
b = −1.028980 − 0.184164I
0.608522 − 0.603280I 0
u = 0.248263 − 1.118570I
a = −1.32465 + 1.35187I
b = −1.028980 + 0.184164I
0.608522 + 0.603280I 0
u = 0.752592 + 0.215634I
a = −0.1157960 − 0.0197121I
b = 1.63356 + 0.74026I
0.05606 + 8.13743I −0.09558 − 8.89965I
u = 0.752592 − 0.215634I
a = −0.1157960 + 0.0197121I
b = 1.63356 − 0.74026I
0.05606 − 8.13743I −0.09558 + 8.89965I
u = 0.268779 + 1.199880I
a = 0.24849 + 1.92674I
b = 1.48419 + 1.59594I
3.35814 − 2.05345I 0
u = 0.268779 − 1.199880I
a = 0.24849 − 1.92674I
b = 1.48419 − 1.59594I
3.35814 + 2.05345I 0
u = 0.745362 + 0.134461I
a = 0.175401 + 0.260812I
b = −1.61882 − 0.76689I
3.52295 + 4.31748I 6.92910 − 5.56695I
u = 0.745362 − 0.134461I
a = 0.175401 − 0.260812I
b = −1.61882 + 0.76689I
3.52295 − 4.31748I 6.92910 + 5.56695I
u = −0.678642 + 0.330251I
a = −0.206249 − 0.013125I
b = 0.615264 + 0.077383I
1.02146 − 1.90927I 5.91964 + 9.92466I
u = −0.678642 − 0.330251I
a = −0.206249 + 0.013125I
b = 0.615264 − 0.077383I
1.02146 + 1.90927I 5.91964 − 9.92466I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.754120
a = −0.187188
b = −0.890755
1.70898 8.74420
u = −0.029724 + 1.250120I
a = 0.98004 + 2.06746I
b = 0.97006 + 1.27890I
−1.32263 − 4.42952I 0
u = −0.029724 − 1.250120I
a = 0.98004 − 2.06746I
b = 0.97006 − 1.27890I
−1.32263 + 4.42952I 0
u = 0.745953 + 0.036112I
a = 0.006297 − 0.821786I
b = −1.42040 + 0.84753I
7.64308 − 0.65029I 9.33071 + 0.18867I
u = 0.745953 − 0.036112I
a = 0.006297 + 0.821786I
b = −1.42040 − 0.84753I
7.64308 + 0.65029I 9.33071 − 0.18867I
u = 0.732406 + 0.078855I
a = 0.062991 + 0.954918I
b = 1.33124 − 0.85513I
6.74172 + 5.69863I 7.43474 − 6.11480I
u = 0.732406 − 0.078855I
a = 0.062991 − 0.954918I
b = 1.33124 + 0.85513I
6.74172 − 5.69863I 7.43474 + 6.11480I
u = −0.734635
a = −0.210505
b = −0.911518
1.70946 7.92140
u = 0.295125 + 1.232170I
a = −0.35967 − 2.03807I
b = −1.59104 − 1.63787I
3.97750 + 4.41856I 0
u = 0.295125 − 1.232170I
a = −0.35967 + 2.03807I
b = −1.59104 + 1.63787I
3.97750 − 4.41856I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.217724 + 1.257540I
a = 1.92175 + 1.50783I
b = 1.68088 + 0.04262I
−4.15077 + 2.23479I 0
u = 0.217724 − 1.257540I
a = 1.92175 − 1.50783I
b = 1.68088 − 0.04262I
−4.15077 − 2.23479I 0
u = −0.119234 + 1.301930I
a = −0.82700 − 2.40146I
b = −0.86265 − 1.81488I
−1.130880 + 0.549874I 0
u = −0.119234 − 1.301930I
a = −0.82700 + 2.40146I
b = −0.86265 + 1.81488I
−1.130880 − 0.549874I 0
u = −0.252218 + 1.284100I
a = 1.73380 + 2.17731I
b = 2.07810 + 1.91250I
0.531022 − 0.352290I 0
u = −0.252218 − 1.284100I
a = 1.73380 − 2.17731I
b = 2.07810 − 1.91250I
0.531022 + 0.352290I 0
u = 0.312678 + 1.284840I
a = −1.56503 − 0.86630I
b = −1.052390 + 0.317344I
3.53108 + 3.17609I 0
u = 0.312678 − 1.284840I
a = −1.56503 + 0.86630I
b = −1.052390 − 0.317344I
3.53108 − 3.17609I 0
u = −0.254772 + 1.300720I
a = −1.73085 − 2.36656I
b = −2.04108 − 2.08187I
0.37869 − 6.12549I 0
u = −0.254772 − 1.300720I
a = −1.73085 + 2.36656I
b = −2.04108 + 2.08187I
0.37869 + 6.12549I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.175162 + 1.316190I
a = 1.62898 + 0.27564I
b = 2.07408 + 0.32600I
−4.07709 − 2.24905I 0
u = −0.175162 − 1.316190I
a = 1.62898 − 0.27564I
b = 2.07408 − 0.32600I
−4.07709 + 2.24905I 0
u = −0.210759 + 1.318290I
a = −1.31219 − 3.45789I
b = −1.41862 − 3.15690I
−4.33937 − 2.97560I 0
u = −0.210759 − 1.318290I
a = −1.31219 + 3.45789I
b = −1.41862 + 3.15690I
−4.33937 + 2.97560I 0
u = −0.279170 + 1.313540I
a = −0.72178 + 1.46138I
b = −1.05622 + 1.14287I
−2.50644 − 3.56316I 0
u = −0.279170 − 1.313540I
a = −0.72178 − 1.46138I
b = −1.05622 − 1.14287I
−2.50644 + 3.56316I 0
u = 0.012646 + 1.346570I
a = 0.111304 + 0.574163I
b = 0.910249 + 0.778259I
−5.09149 − 1.65450I 0
u = 0.012646 − 1.346570I
a = 0.111304 − 0.574163I
b = 0.910249 − 0.778259I
−5.09149 + 1.65450I 0
u = 0.306416 + 1.314380I
a = 1.56544 + 0.71108I
b = 0.975960 − 0.437826I
2.37552 + 9.45911I 0
u = 0.306416 − 1.314380I
a = 1.56544 − 0.71108I
b = 0.975960 + 0.437826I
2.37552 − 9.45911I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.639595 + 0.091648I
a = −0.632784 − 0.391435I
b = 1.74029 + 0.82376I
−0.579400 + 0.781243I 3.90058 − 9.11901I
u = 0.639595 − 0.091648I
a = −0.632784 + 0.391435I
b = 1.74029 − 0.82376I
−0.579400 − 0.781243I 3.90058 + 9.11901I
u = −0.643484 + 0.012521I
a = 0.00320 − 2.60568I
b = 0.01890 − 1.95574I
4.51074 − 2.88147I −21.2227 − 0.3778I
u = −0.643484 − 0.012521I
a = 0.00320 + 2.60568I
b = 0.01890 + 1.95574I
4.51074 + 2.88147I −21.2227 + 0.3778I
u = 0.267449 + 1.332400I
a = 0.76039 + 2.51755I
b = 1.93430 + 1.74894I
−5.08797 + 4.10505I 0
u = 0.267449 − 1.332400I
a = 0.76039 − 2.51755I
b = 1.93430 − 1.74894I
−5.08797 − 4.10505I 0
u = 0.100202 + 1.368080I
a = 0.422862 − 0.568821I
b = −0.508707 − 0.941569I
−7.19579 + 2.54584I 0
u = 0.100202 − 1.368080I
a = 0.422862 + 0.568821I
b = −0.508707 + 0.941569I
−7.19579 − 2.54584I 0
u = 0.313104 + 1.345580I
a = −0.80767 − 2.26450I
b = −1.86910 − 1.64443I
−1.14017 + 8.15162I 0
u = 0.313104 − 1.345580I
a = −0.80767 + 2.26450I
b = −1.86910 + 1.64443I
−1.14017 − 8.15162I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.31190 + 1.38433I
a = 0.94240 + 2.25156I
b = 1.90592 + 1.61257I
−5.01093 + 11.99980I 0
u = 0.31190 − 1.38433I
a = 0.94240 − 2.25156I
b = 1.90592 − 1.61257I
−5.01093 − 11.99980I 0
u = 0.35666 + 1.39025I
a = −0.94316 − 2.12935I
b = −1.89156 − 1.57991I
3.10562 + 11.74730I 0
u = 0.35666 − 1.39025I
a = −0.94316 + 2.12935I
b = −1.89156 + 1.57991I
3.10562 − 11.74730I 0
u = −0.29273 + 1.41546I
a = 0.598510 − 0.901346I
b = 1.022280 − 0.601144I
−4.51107 − 5.52495I 0
u = −0.29273 − 1.41546I
a = 0.598510 + 0.901346I
b = 1.022280 + 0.601144I
−4.51107 + 5.52495I 0
u = 0.35549 + 1.40235I
a = 0.97197 + 2.13112I
b = 1.90018 + 1.57876I
2.1737 + 18.0005I 0
u = 0.35549 − 1.40235I
a = 0.97197 − 2.13112I
b = 1.90018 − 1.57876I
2.1737 − 18.0005I 0
u = 0.01411 + 1.45261I
a = 0.0415086 − 0.0671082I
b = −0.648120 − 0.419340I
−9.08717 − 3.64401I 0
u = 0.01411 − 1.45261I
a = 0.0415086 + 0.0671082I
b = −0.648120 + 0.419340I
−9.08717 + 3.64401I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.41281 + 1.39428I
a = −0.353629 + 1.025430I
b = −0.780953 + 0.685090I
1.40209 − 3.28258I 0
u = −0.41281 − 1.39428I
a = −0.353629 − 1.025430I
b = −0.780953 − 0.685090I
1.40209 + 3.28258I 0
u = −0.539905 + 0.036302I
a = 0.18420 − 2.19342I
b = 0.51211 − 1.59858I
−0.042633 − 0.232655I 10.7442 − 23.3936I
u = −0.539905 − 0.036302I
a = 0.18420 + 2.19342I
b = 0.51211 + 1.59858I
−0.042633 + 0.232655I 10.7442 + 23.3936I
u = −0.40181 + 1.42168I
a = 0.369896 − 0.987293I
b = 0.799484 − 0.652468I
1.07967 − 9.12556I 0
u = −0.40181 − 1.42168I
a = 0.369896 + 0.987293I
b = 0.799484 + 0.652468I
1.07967 + 9.12556I 0
u = −0.210869 + 0.468245I
a = −1.222040 − 0.575137I
b = 0.0312675 + 0.1076690I
0.285321 − 1.318120I 2.90889 + 4.59506I
u = −0.210869 − 0.468245I
a = −1.222040 + 0.575137I
b = 0.0312675 − 0.1076690I
0.285321 + 1.318120I 2.90889 − 4.59506I
u = −0.09631 + 1.49246I
a = 0.267685 − 0.258901I
b = 0.830980 + 0.055252I
−3.12706 − 3.06200I 0
u = −0.09631 − 1.49246I
a = 0.267685 + 0.258901I
b = 0.830980 − 0.055252I
−3.12706 + 3.06200I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.06607 + 1.51563I
a = −0.141415 + 0.260153I
b = −0.717322 − 0.084721I
−3.77910 − 8.70926I 0
u = −0.06607 − 1.51563I
a = −0.141415 − 0.260153I
b = −0.717322 + 0.084721I
−3.77910 + 8.70926I 0
u = 0.288880 + 0.303356I
a = 1.07664 + 1.84967I
b = 0.397565 − 0.485927I
−1.93584 + 1.10574I −7.09590 − 4.12415I
u = 0.288880 − 0.303356I
a = 1.07664 − 1.84967I
b = 0.397565 + 0.485927I
−1.93584 − 1.10574I −7.09590 + 4.12415I
u = −0.279337 + 0.254385I
a = −0.34087 − 2.71226I
b = −0.421041 − 1.088310I
3.48145 + 1.96482I 0.72295 − 5.55641I
u = −0.279337 − 0.254385I
a = −0.34087 + 2.71226I
b = −0.421041 + 1.088310I
3.48145 − 1.96482I 0.72295 + 5.55641I
u = −0.193377 + 0.308991I
a = 0.09455 + 2.77073I
b = 0.594927 + 1.021300I
3.23875 − 3.76538I −0.297980 + 0.686872I
u = −0.193377 − 0.308991I
a = 0.09455 − 2.77073I
b = 0.594927 − 1.021300I
3.23875 + 3.76538I −0.297980 − 0.686872I
u = 0.0826245
a = −6.32671
b = 0.724417
−1.43820 −7.18500
14
II. I
u
2
= hb − u + 1, −u
2
+ a − 2u − 1, u
3
+ u
2
+ 2u + 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
8
=
1
−u
2
a
12
=
u
u
a
4
=
u
2
+ 2u + 1
u − 1
a
9
=
−u
−u
2
− u − 1
a
1
=
−u
2
− u − 1
1
a
3
=
u
2
+ u
−1
a
10
=
−u
−u
2
− u − 1
a
5
=
u
2
+ u
−1
a
6
=
u
2
+ u + 1
−1
a
2
=
−1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = 5u
2
+ 4u + 4
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
12
(u − 1)
3
c
3
, c
4
u
3
+ u
2
− 1
c
5
, c
6
(u + 1)
3
c
7
u
3
+ u
2
+ 2u + 1
c
8
u
3
− u
2
+ 1
c
9
u
3
c
10
, c
11
u
3
− u
2
+ 2u − 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
12
(y −1)
3
c
3
, c
4
, c
8
y
3
− y
2
+ 2y −1
c
7
, c
10
, c
11
y
3
+ 3y
2
+ 2y −1
c
9
y
3
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.215080 + 1.307140I
a = −1.09252 + 2.05200I
b = −1.21508 + 1.30714I
−4.66906 − 2.82812I −5.17211 + 2.41717I
u = −0.215080 − 1.307140I
a = −1.09252 − 2.05200I
b = −1.21508 − 1.30714I
−4.66906 + 2.82812I −5.17211 − 2.41717I
u = −0.569840
a = 0.185037
b = −1.56984
−0.531480 3.34420
18
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
3
)(u
99
+ 30u
98
+ ··· + 11u + 1)
c
2
((u − 1)
3
)(u
99
+ 4u
98
+ ··· − 3u + 1)
c
3
(u
3
+ u
2
− 1)(u
99
− 2u
98
+ ··· − 30950u + 10543)
c
4
(u
3
+ u
2
− 1)(u
99
+ 38u
97
+ ··· + 2168454u + 308593)
c
5
((u + 1)
3
)(u
99
+ 4u
98
+ ··· − 3u + 1)
c
6
((u + 1)
3
)(u
99
+ 30u
98
+ ··· + 11u + 1)
c
7
(u
3
+ u
2
+ 2u + 1)(u
99
+ 2u
98
+ ··· + 10u + 1)
c
8
(u
3
− u
2
+ 1)(u
99
− 2u
98
+ ··· + 20112u + 7633)
c
9
u
3
(u
99
+ 7u
98
+ ··· − 4u − 8)
c
10
, c
11
(u
3
− u
2
+ 2u − 1)(u
99
+ 2u
98
+ ··· + 10u + 1)
c
12
((u − 1)
3
)(u
99
+ 10u
98
+ ··· − u + 1)
19
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
6
((y −1)
3
)(y
99
+ 82y
98
+ ··· + 267y −1)
c
2
, c
5
((y −1)
3
)(y
99
− 30y
98
+ ··· + 11y −1)
c
3
(y
3
− y
2
+ 2y −1)(y
99
+ 132y
98
+ ··· − 3.28509 × 10
9
y −1.11155 × 10
8
)
c
4
(y
3
− y
2
+ 2y −1)
· (y
99
+ 76y
98
+ ··· + 5233821340866y −95229639649)
c
7
, c
10
, c
11
(y
3
+ 3y
2
+ 2y −1)(y
99
+ 84y
98
+ ··· + 146y −1)
c
8
(y
3
− y
2
+ 2y −1)(y
99
− 44y
98
+ ··· + 8.10321 × 10
9
y −5.82627 × 10
7
)
c
9
y
3
(y
99
+ 21y
98
+ ··· − 1968y −64)
c
12
((y −1)
3
)(y
99
− 10y
98
+ ··· + 11y −1)
20
