12a
0926
(K12a
0926
)
A knot diagram
1
Linearized knot diagam
4 6 9 11 10 3 12 1 2 5 7 8
Solving Sequence
7,12
8 1 9
5,11
4 2 3 6 10
c
7
c
12
c
8
c
11
c
4
c
1
c
3
c
6
c
10
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h8.47533 × 10
71
u
79
+ 3.31160 × 10
71
u
78
+ ··· + 2.05866 × 10
72
b − 2.65713 × 10
72
,
− 7.84336 × 10
72
u
79
− 1.83623 × 10
73
u
78
+ ··· + 1.85280 × 10
73
a − 1.38382 × 10
73
, u
80
+ u
79
+ ··· + 2u + 1i
I
u
2
= h−u
15
− 2u
14
+ ··· + b + 2, 2u
16
− 3u
15
+ ··· + a + 8, u
17
− 11u
15
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 97 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
= h8.48×10
71
u
79
+3.31×10
71
u
78
+· · ·+2.06×10
72
b−2.66×10
72
, −7.84×
10
72
u
79
−1.84×10
73
u
78
+· · ·+1.85×10
73
a−1.38×10
73
, u
80
+u
79
+· · ·+2u+1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
8
=
1
u
2
a
1
=
−u
−u
3
+ u
a
9
=
−u
2
+ 1
−u
4
+ 2u
2
a
5
=
0.423326u
79
+ 0.991058u
78
+ ··· − 9.58238u + 0.746882
−0.411691u
79
− 0.160862u
78
+ ··· − 1.54970u + 1.29071
a
11
=
u
u
a
4
=
0.609160u
79
+ 0.709751u
78
+ ··· − 8.11356u + 1.06379
−0.225856u
79
− 0.442169u
78
+ ··· − 0.0808800u + 1.60761
a
2
=
−0.652505u
79
+ 1.32207u
78
+ ··· − 10.5607u + 0.0192152
−0.943472u
79
+ 0.111525u
78
+ ··· − 3.28103u + 0.0878461
a
3
=
0.862772u
79
+ 0.642394u
78
+ ··· − 7.88631u + 0.131545
0.0159171u
79
− 0.185399u
78
+ ··· − 0.538693u + 1.44431
a
6
=
1.11988u
79
+ 0.492728u
78
+ ··· − 4.34134u + 2.80234
0.596804u
79
+ 0.790725u
78
+ ··· − 2.03464u + 1.22731
a
10
=
−2.19980u
79
− 0.534214u
78
+ ··· + 5.11355u − 0.488944
−1.56332u
79
+ 0.378993u
78
+ ··· + 3.09382u − 0.595903
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.629075u
79
+ 3.23575u
78
+ ··· − 28.6021u + 0.810717
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
80
− 13u
79
+ ··· + 1636u − 233
c
2
, c
6
u
80
− 31u
78
+ ··· + 4811u − 917
c
3
u
80
− u
79
+ ··· + 55u − 43
c
4
, c
5
, c
10
u
80
− u
79
+ ··· − 26u + 1
c
7
, c
8
, c
11
c
12
u
80
− u
79
+ ··· − 2u + 1
c
9
u
80
+ 2u
79
+ ··· + 105006u + 58531
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
80
− 9y
79
+ ··· − 1784106y + 54289
c
2
, c
6
y
80
− 62y
79
+ ··· − 33892961y + 840889
c
3
y
80
+ 11y
79
+ ··· + 14347y + 1849
c
4
, c
5
, c
10
y
80
+ 83y
79
+ ··· − 450y + 1
c
7
, c
8
, c
11
c
12
y
80
− 95y
79
+ ··· − 28y + 1
c
9
y
80
− 34y
79
+ ··· − 99189866468y + 3425877961
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.897708 + 0.453066I
a = 0.53900 + 1.82561I
b = 1.167400 + 0.634500I
2.78959 + 1.45843I 0
u = −0.897708 − 0.453066I
a = 0.53900 − 1.82561I
b = 1.167400 − 0.634500I
2.78959 − 1.45843I 0
u = 0.762672 + 0.629552I
a = −1.12215 + 1.68586I
b = −2.34369 + 0.66567I
7.9204 − 12.3069I 0
u = 0.762672 − 0.629552I
a = −1.12215 − 1.68586I
b = −2.34369 − 0.66567I
7.9204 + 12.3069I 0
u = −0.572465 + 0.750938I
a = −1.17173 − 1.57864I
b = −2.37823 − 0.70667I
3.67383 + 2.53720I 0
u = −0.572465 − 0.750938I
a = −1.17173 + 1.57864I
b = −2.37823 + 0.70667I
3.67383 − 2.53720I 0
u = −0.773820 + 0.517620I
a = −0.269244 + 0.677104I
b = 0.802233 + 0.675829I
1.07794 + 8.21292I 0
u = −0.773820 − 0.517620I
a = −0.269244 − 0.677104I
b = 0.802233 − 0.675829I
1.07794 − 8.21292I 0
u = 0.791077 + 0.464930I
a = 1.14601 − 1.43541I
b = 2.08530 − 0.15769I
3.22885 − 5.95807I 0
u = 0.791077 − 0.464930I
a = 1.14601 + 1.43541I
b = 2.08530 + 0.15769I
3.22885 + 5.95807I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.031290 + 0.352939I
a = 0.585092 − 0.011311I
b = 0.168013 + 0.347384I
−0.394182 + 0.525357I 0
u = 1.031290 − 0.352939I
a = 0.585092 + 0.011311I
b = 0.168013 − 0.347384I
−0.394182 − 0.525357I 0
u = −0.614673 + 0.600907I
a = 0.57482 + 1.46306I
b = 1.64181 + 0.64625I
2.17329 + 2.14394I 0
u = −0.614673 − 0.600907I
a = 0.57482 − 1.46306I
b = 1.64181 − 0.64625I
2.17329 − 2.14394I 0
u = 0.627888 + 0.556081I
a = 0.241217 − 0.178544I
b = 0.438984 − 0.279024I
−1.22309 − 1.89098I 0
u = 0.627888 − 0.556081I
a = 0.241217 + 0.178544I
b = 0.438984 + 0.279024I
−1.22309 + 1.89098I 0
u = 0.215373 + 0.805835I
a = −0.456300 + 1.014000I
b = −2.12939 + 0.26584I
9.58477 + 7.55429I 0
u = 0.215373 − 0.805835I
a = −0.456300 − 1.014000I
b = −2.12939 − 0.26584I
9.58477 − 7.55429I 0
u = −0.746808 + 0.334933I
a = −0.118659 − 0.117796I
b = −0.864888 − 0.020645I
−2.53049 + 3.60833I −9.69090 − 7.89703I
u = −0.746808 − 0.334933I
a = −0.118659 + 0.117796I
b = −0.864888 + 0.020645I
−2.53049 − 3.60833I −9.69090 + 7.89703I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.691584 + 0.363567I
a = 0.90879 − 1.21008I
b = 0.282684 + 0.028990I
1.17370 − 2.56864I −1.56142 + 6.00737I
u = 0.691584 − 0.363567I
a = 0.90879 + 1.21008I
b = 0.282684 − 0.028990I
1.17370 + 2.56864I −1.56142 − 6.00737I
u = −0.628233 + 0.302083I
a = 0.05350 + 1.67415I
b = 0.754684 + 1.015830I
1.38631 + 2.18514I −0.53306 − 7.27019I
u = −0.628233 − 0.302083I
a = 0.05350 − 1.67415I
b = 0.754684 − 1.015830I
1.38631 − 2.18514I −0.53306 + 7.27019I
u = −0.108684 + 0.688204I
a = −0.071269 + 0.542015I
b = 0.468950 − 0.513867I
3.07552 − 4.18485I −0.43694 + 5.65022I
u = −0.108684 − 0.688204I
a = −0.071269 − 0.542015I
b = 0.468950 + 0.513867I
3.07552 + 4.18485I −0.43694 − 5.65022I
u = −1.258050 + 0.418420I
a = −1.03868 − 2.32084I
b = −1.23958 − 1.24602I
5.06105 − 3.22792I 0
u = −1.258050 − 0.418420I
a = −1.03868 + 2.32084I
b = −1.23958 + 1.24602I
5.06105 + 3.22792I 0
u = 0.667781
a = 0.487700
b = −0.209816
−1.04488 −9.73780
u = 0.025531 + 0.645716I
a = −0.600777 − 0.451263I
b = 1.62555 − 0.26182I
5.51085 + 2.26331I 0.63689 − 2.84719I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.025531 − 0.645716I
a = −0.600777 + 0.451263I
b = 1.62555 + 0.26182I
5.51085 − 2.26331I 0.63689 + 2.84719I
u = −0.525952 + 0.362720I
a = 0.05531 − 1.50930I
b = −1.71229 + 0.18267I
8.70489 + 4.16019I 0.88771 − 7.52875I
u = −0.525952 − 0.362720I
a = 0.05531 + 1.50930I
b = −1.71229 − 0.18267I
8.70489 − 4.16019I 0.88771 + 7.52875I
u = 0.543476 + 0.317534I
a = −1.50383 + 1.71269I
b = −2.59856 − 0.33649I
8.35841 + 1.11561I 1.24449 + 2.28226I
u = 0.543476 − 0.317534I
a = −1.50383 − 1.71269I
b = −2.59856 + 0.33649I
8.35841 − 1.11561I 1.24449 − 2.28226I
u = 0.584085 + 0.142445I
a = 0.41745 + 1.57646I
b = 0.582932 + 0.172246I
−1.244310 − 0.535370I −8.05750 − 1.18114I
u = 0.584085 − 0.142445I
a = 0.41745 − 1.57646I
b = 0.582932 − 0.172246I
−1.244310 + 0.535370I −8.05750 + 1.18114I
u = −0.440351 + 0.339228I
a = 0.44794 − 3.10571I
b = −1.032530 − 0.547736I
8.97976 − 1.56779I 1.41507 − 3.29338I
u = −0.440351 − 0.339228I
a = 0.44794 + 3.10571I
b = −1.032530 + 0.547736I
8.97976 + 1.56779I 1.41507 + 3.29338I
u = 0.451812 + 0.285869I
a = 0.01425 + 4.02316I
b = −1.66425 + 1.64707I
8.66848 − 3.38611I 1.93467 + 10.61768I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.451812 − 0.285869I
a = 0.01425 − 4.02316I
b = −1.66425 − 1.64707I
8.66848 + 3.38611I 1.93467 − 10.61768I
u = −1.53404
a = 0.842388
b = 1.58111
−3.33210 0
u = 1.54067 + 0.06449I
a = −0.37763 + 2.51075I
b = −0.31465 + 1.39016I
2.23015 + 0.29285I 0
u = 1.54067 − 0.06449I
a = −0.37763 − 2.51075I
b = −0.31465 − 1.39016I
2.23015 − 0.29285I 0
u = 1.54920
a = 2.83820
b = 2.87076
−3.72894 0
u = −1.55170 + 0.05496I
a = −1.03030 − 4.23683I
b = −1.11321 − 3.21040I
1.77758 + 4.46121I 0
u = −1.55170 − 0.05496I
a = −1.03030 + 4.23683I
b = −1.11321 + 3.21040I
1.77758 − 4.46121I 0
u = 1.55602 + 0.08523I
a = −1.59620 + 1.17492I
b = −1.93007 + 0.24131I
1.62886 − 5.69662I 0
u = 1.55602 − 0.08523I
a = −1.59620 − 1.17492I
b = −1.93007 − 0.24131I
1.62886 + 5.69662I 0
u = −1.56802 + 0.07630I
a = −3.14350 − 1.53675I
b = −3.19753 − 0.64428I
1.127770 + 0.244515I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.56802 − 0.07630I
a = −3.14350 + 1.53675I
b = −3.19753 + 0.64428I
1.127770 − 0.244515I 0
u = −1.59242 + 0.04099I
a = 0.916576 − 0.936210I
b = 1.207410 − 0.346945I
−8.83047 + 1.21032I 0
u = −1.59242 − 0.04099I
a = 0.916576 + 0.936210I
b = 1.207410 + 0.346945I
−8.83047 − 1.21032I 0
u = 1.57711 + 0.23413I
a = −1.76969 + 2.79741I
b = −1.96908 + 1.92097I
−3.46792 − 6.14781I 0
u = 1.57711 − 0.23413I
a = −1.76969 − 2.79741I
b = −1.96908 − 1.92097I
−3.46792 + 6.14781I 0
u = −1.60772 + 0.10277I
a = 0.253216 + 0.532374I
b = −0.334162 + 0.016794I
−6.70981 + 4.30334I 0
u = −1.60772 − 0.10277I
a = 0.253216 − 0.532374I
b = −0.334162 − 0.016794I
−6.70981 − 4.30334I 0
u = 1.60492 + 0.15465I
a = 1.25630 − 2.19459I
b = 1.57461 − 1.42887I
−5.44265 − 4.83428I 0
u = 1.60492 − 0.15465I
a = 1.25630 + 2.19459I
b = 1.57461 + 1.42887I
−5.44265 + 4.83428I 0
u = −1.60845 + 0.16253I
a = 0.646490 + 0.754251I
b = 0.864116 + 0.652647I
−8.88074 + 4.56754I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.60845 − 0.16253I
a = 0.646490 − 0.754251I
b = 0.864116 − 0.652647I
−8.88074 − 4.56754I 0
u = 1.61690 + 0.05351I
a = 0.24899 − 1.71195I
b = 0.390593 − 1.173160I
−6.36499 − 3.34102I 0
u = 1.61690 − 0.05351I
a = 0.24899 + 1.71195I
b = 0.390593 + 1.173160I
−6.36499 + 3.34102I 0
u = 0.048314 + 0.376770I
a = 0.950830 − 0.770511I
b = −0.125377 − 0.125502I
−0.321687 − 1.099740I −5.16173 + 5.57656I
u = 0.048314 − 0.376770I
a = 0.950830 + 0.770511I
b = −0.125377 + 0.125502I
−0.321687 + 1.099740I −5.16173 − 5.57656I
u = 1.62240 + 0.09388I
a = −1.104360 + 0.436109I
b = −1.51382 + 0.28264I
−10.67900 − 5.22234I 0
u = 1.62240 − 0.09388I
a = −1.104360 − 0.436109I
b = −1.51382 − 0.28264I
−10.67900 + 5.22234I 0
u = 1.62969 + 0.14995I
a = 0.541795 − 1.239540I
b = 1.15132 − 0.94374I
−7.10233 − 10.73870I 0
u = 1.62969 − 0.14995I
a = 0.541795 + 1.239540I
b = 1.15132 + 0.94374I
−7.10233 + 10.73870I 0
u = −1.63362 + 0.13334I
a = 2.28386 + 1.66716I
b = 2.48020 + 0.79917I
−5.05567 + 8.23073I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.63362 − 0.13334I
a = 2.28386 − 1.66716I
b = 2.48020 − 0.79917I
−5.05567 − 8.23073I 0
u = −1.62892 + 0.19087I
a = −2.01228 − 2.42364I
b = −2.32487 − 1.49521I
−0.1459 + 15.4160I 0
u = −1.62892 − 0.19087I
a = −2.01228 + 2.42364I
b = −2.32487 + 1.49521I
−0.1459 − 15.4160I 0
u = −1.63946 + 0.05983I
a = −0.195978 − 0.314649I
b = −0.688340 − 0.308411I
−9.50437 + 0.48404I 0
u = −1.63946 − 0.05983I
a = −0.195978 + 0.314649I
b = −0.688340 + 0.308411I
−9.50437 − 0.48404I 0
u = 1.66283 + 0.06492I
a = 0.25223 − 1.51301I
b = 0.344862 − 0.827753I
−6.30175 − 3.30209I 0
u = 1.66283 − 0.06492I
a = 0.25223 + 1.51301I
b = 0.344862 + 0.827753I
−6.30175 + 3.30209I 0
u = 0.052852 + 0.256538I
a = −0.31946 + 1.98144I
b = 1.096280 − 0.155665I
2.82618 + 0.04932I 4.47353 + 1.03862I
u = 0.052852 − 0.256538I
a = −0.31946 − 1.98144I
b = 1.096280 + 0.155665I
2.82618 − 0.04932I 4.47353 − 1.03862I
u = −0.161841
a = 3.96844
b = 1.45110
2.81287 8.31090
12
II.
I
u
2
= h−u
15
−2u
14
+· · ·+b+2, 2u
16
−3u
15
+· · ·+a+8, u
17
−11u
15
+· · ·+2u+1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
8
=
1
u
2
a
1
=
−u
−u
3
+ u
a
9
=
−u
2
+ 1
−u
4
+ 2u
2
a
5
=
−2u
16
+ 3u
15
+ ··· − u − 8
u
15
+ 2u
14
+ ··· + 5u − 2
a
11
=
u
u
a
4
=
−2u
16
+ u
15
+ ··· + u − 6
−u
15
+ u
14
+ ··· + 2u
2
+ 7u
a
2
=
−2u
15
− 3u
14
+ ··· + 9u + 1
−u
15
− 3u
14
+ ··· − 3u + 3
a
3
=
−2u
16
+ 2u
15
+ ··· − 3u − 7
u
14
− 9u
12
+ ··· + 5u − 1
a
6
=
3u
16
− 3u
15
+ ··· + 4u + 8
−u
15
− u
14
+ ··· + u + 4
a
10
=
−2u
14
− u
13
+ ··· − 12u + 6
−2u
16
+ 20u
14
+ ··· − 2u − 3
(ii) Obstruction class = 1
(iii) Cusp Shapes = 2u
16
+ 2u
15
− 23u
14
− 22u
13
+ 104u
12
+ 101u
11
− 231u
10
−
248u
9
+ 256u
8
+ 348u
7
− 128u
6
− 281u
5
+ 25u
4
+ 131u
3
+ u
2
− 31u − 10
13
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
17
− 6u
14
+ ··· − 9u
2
+ 1
c
2
u
17
− 3u
16
+ ··· − 3u + 1
c
3
u
17
− 2u
14
+ ··· + u + 1
c
4
, c
5
u
17
+ 10u
15
+ ··· − 2u + 1
c
6
u
17
+ 3u
16
+ ··· − 3u − 1
c
7
, c
8
u
17
− 11u
15
+ ··· + 2u + 1
c
9
u
17
+ u
16
+ ··· − 2u
3
+ 1
c
10
u
17
+ 10u
15
+ ··· − 2u − 1
c
11
, c
12
u
17
− 11u
15
+ ··· + 2u − 1
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
17
+ 12y
15
+ ··· + 18y −1
c
2
, c
6
y
17
− 17y
16
+ ··· + 13y −1
c
3
y
17
− 6y
15
+ ··· + y −1
c
4
, c
5
, c
10
y
17
+ 20y
16
+ ··· + 2y −1
c
7
, c
8
, c
11
c
12
y
17
− 22y
16
+ ··· + 24y −1
c
9
y
17
− y
16
+ ··· + 6y
2
− 1
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.626313 + 0.713258I
a = 0.91659 + 1.38681I
b = 1.91813 + 0.62490I
1.57585 + 2.47208I −8.54955 − 6.13183I
u = −0.626313 − 0.713258I
a = 0.91659 − 1.38681I
b = 1.91813 − 0.62490I
1.57585 − 2.47208I −8.54955 + 6.13183I
u = 1.08998
a = 1.11293
b = 0.782217
0.325751 0.134820
u = −1.176760 + 0.114364I
a = −0.98628 − 2.29232I
b = −1.00098 − 1.03467I
5.70880 − 1.80135I −1.122547 + 0.188747I
u = −1.176760 − 0.114364I
a = −0.98628 + 2.29232I
b = −1.00098 + 1.03467I
5.70880 + 1.80135I −1.122547 − 0.188747I
u = 0.612949 + 0.407051I
a = −0.106942 − 0.820564I
b = 0.1137180 − 0.0132110I
−0.62429 − 1.48809I −2.11165 + 3.17907I
u = 0.612949 − 0.407051I
a = −0.106942 + 0.820564I
b = 0.1137180 + 0.0132110I
−0.62429 + 1.48809I −2.11165 − 3.17907I
u = 1.54436 + 0.03744I
a = −1.77826 + 3.02855I
b = −1.90520 + 1.99564I
1.80124 − 3.29346I −2.09053 + 0.51086I
u = 1.54436 − 0.03744I
a = −1.77826 − 3.02855I
b = −1.90520 − 1.99564I
1.80124 + 3.29346I −2.09053 − 0.51086I
u = −1.55895
a = 1.77390
b = 2.22323
−4.45563 −10.3540
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.404142
a = 0.0659620
b = 1.52397
2.46717 −15.9350
u = −1.60556 + 0.10472I
a = −0.217995 + 0.537820I
b = −0.453815 + 0.128688I
−8.33054 + 3.31829I −7.24383 − 1.36502I
u = −1.60556 − 0.10472I
a = −0.217995 − 0.537820I
b = −0.453815 − 0.128688I
−8.33054 − 3.31829I −7.24383 + 1.36502I
u = 1.62171 + 0.18775I
a = 1.43333 − 2.04334I
b = 1.66112 − 1.31589I
−6.10698 − 5.75541I −6.89335 + 5.66580I
u = 1.62171 − 0.18775I
a = 1.43333 + 2.04334I
b = 1.66112 + 1.31589I
−6.10698 + 5.75541I −6.89335 − 5.66580I
u = −0.337973 + 0.124397I
a = 0.26316 − 4.67596I
b = −1.59769 − 0.76708I
8.45221 + 2.71521I −2.41151 − 0.31079I
u = −0.337973 − 0.124397I
a = 0.26316 + 4.67596I
b = −1.59769 + 0.76708I
8.45221 − 2.71521I −2.41151 + 0.31079I
17
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
17
− 6u
14
+ ··· − 9u
2
+ 1)(u
80
− 13u
79
+ ··· + 1636u − 233)
c
2
(u
17
− 3u
16
+ ··· − 3u + 1)(u
80
− 31u
78
+ ··· + 4811u − 917)
c
3
(u
17
− 2u
14
+ ··· + u + 1)(u
80
− u
79
+ ··· + 55u − 43)
c
4
, c
5
(u
17
+ 10u
15
+ ··· − 2u + 1)(u
80
− u
79
+ ··· − 26u + 1)
c
6
(u
17
+ 3u
16
+ ··· − 3u − 1)(u
80
− 31u
78
+ ··· + 4811u − 917)
c
7
, c
8
(u
17
− 11u
15
+ ··· + 2u + 1)(u
80
− u
79
+ ··· − 2u + 1)
c
9
(u
17
+ u
16
+ ··· − 2u
3
+ 1)(u
80
+ 2u
79
+ ··· + 105006u + 58531)
c
10
(u
17
+ 10u
15
+ ··· − 2u − 1)(u
80
− u
79
+ ··· − 26u + 1)
c
11
, c
12
(u
17
− 11u
15
+ ··· + 2u − 1)(u
80
− u
79
+ ··· − 2u + 1)
18
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
17
+ 12y
15
+ ··· + 18y −1)(y
80
− 9y
79
+ ··· − 1784106y + 54289)
c
2
, c
6
(y
17
− 17y
16
+ ··· + 13y −1)
· (y
80
− 62y
79
+ ··· − 33892961y + 840889)
c
3
(y
17
− 6y
15
+ ··· + y −1)(y
80
+ 11y
79
+ ··· + 14347y + 1849)
c
4
, c
5
, c
10
(y
17
+ 20y
16
+ ··· + 2y −1)(y
80
+ 83y
79
+ ··· − 450y + 1)
c
7
, c
8
, c
11
c
12
(y
17
− 22y
16
+ ··· + 24y −1)(y
80
− 95y
79
+ ··· − 28y + 1)
c
9
(y
17
− y
16
+ ··· + 6y
2
− 1)
· (y
80
− 34y
79
+ ··· − 99189866468y + 3425877961)
19
