12a
0068
(K12a
0068
)
A knot diagram
1
Linearized knot diagam
3 5 7 8 2 10 1 12 11 6 9 4
Solving Sequence
2,6
5 3
1,11
10 7 4 8 9 12
c
5
c
2
c
1
c
10
c
6
c
3
c
7
c
9
c
12
c
4
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.25458 × 10
127
u
95
+ 1.26518 × 10
128
u
94
+ ··· + 9.52869 × 10
127
b + 1.50191 × 10
127
,
− 9.57034 × 10
127
u
95
− 2.86258 × 10
128
u
94
+ ··· + 9.52869 × 10
127
a − 2.12222 × 10
128
,
u
96
+ 3u
95
+ ··· + 12u + 1i
I
u
2
= hb + u − 1, a + u + 2, u
2
− u + 1i
I
u
3
= hb − u, a + 1, u
2
− u + 1i
* 3 irreducible components of dim
C
= 0, with total 100 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h1.25 × 10
127
u
95
+ 1.27 × 10
128
u
94
+ · · · + 9.53 × 10
127
b + 1.50 ×
10
127
, −9.57 × 10
127
u
95
− 2.86 × 10
128
u
94
+ · · · + 9.53 × 10
127
a − 2.12 ×
10
128
, u
96
+ 3u
95
+ · · · + 12u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
5
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
1.00437u
95
+ 3.00416u
94
+ ··· + 57.6273u + 2.22719
−0.131664u
95
− 1.32776u
94
+ ··· + 1.94631u − 0.157620
a
10
=
0.872707u
95
+ 1.67640u
94
+ ··· + 59.5736u + 2.06957
−0.131664u
95
− 1.32776u
94
+ ··· + 1.94631u − 0.157620
a
7
=
1.95072u
95
+ 4.88246u
94
+ ··· − 40.0809u − 3.74504
0.869545u
95
+ 3.48417u
94
+ ··· + 12.2237u + 0.518555
a
4
=
0.309695u
95
+ 1.02345u
94
+ ··· + 66.7347u + 5.22501
0.403210u
95
+ 1.10905u
94
+ ··· + 7.08302u + 0.778016
a
8
=
0.687164u
95
− 1.47942u
94
+ ··· − 74.5773u − 6.69637
2.39982u
95
+ 8.28580u
94
+ ··· + 30.7068u + 2.07039
a
9
=
−0.720528u
95
− 2.13313u
94
+ ··· + 43.6793u + 3.49267
0.168650u
95
− 0.178593u
94
+ ··· + 0.999858u + 0.256902
a
12
=
−0.248630u
95
− 1.76800u
94
+ ··· − 10.1284u − 1.85496
0.900641u
95
+ 2.78697u
94
+ ··· + 16.1924u + 1.08286
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4.65162u
95
− 10.5791u
94
+ ··· − 96.8246u − 7.50867
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
96
+ 43u
95
+ ··· + 80u + 1
c
2
, c
5
u
96
+ 3u
95
+ ··· + 12u + 1
c
3
u
96
+ 42u
94
+ ··· + 1035u + 643
c
4
u
96
− 2u
95
+ ··· + 13621u + 1921
c
6
, c
10
u
96
+ 3u
95
+ ··· − 2u + 1
c
7
u
96
− 7u
95
+ ··· + 4u
2
+ 1
c
8
, c
9
, c
11
u
96
− 23u
95
+ ··· − 8u + 1
c
12
u
96
+ 9u
95
+ ··· − 16u + 16
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
96
+ 23y
95
+ ··· − 1248y + 1
c
2
, c
5
y
96
+ 43y
95
+ ··· + 80y + 1
c
3
y
96
+ 84y
95
+ ··· − 13909363y + 413449
c
4
y
96
+ 116y
95
+ ··· + 95698917y + 3690241
c
6
, c
10
y
96
+ 23y
95
+ ··· + 8y + 1
c
7
y
96
+ 11y
95
+ ··· + 8y + 1
c
8
, c
9
, c
11
y
96
+ 103y
95
+ ··· − 48y + 1
c
12
y
96
+ 25y
95
+ ··· + 2944y + 256
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.944130 + 0.380710I
a = 0.747578 + 0.125727I
b = −0.899713 − 0.842502I
−6.40890 + 5.50823I 0
u = −0.944130 − 0.380710I
a = 0.747578 − 0.125727I
b = −0.899713 + 0.842502I
−6.40890 − 5.50823I 0
u = 0.443410 + 0.868939I
a = 1.09874 + 3.16937I
b = −0.391123 − 0.642425I
−0.163424 + 0.651132I 0
u = 0.443410 − 0.868939I
a = 1.09874 − 3.16937I
b = −0.391123 + 0.642425I
−0.163424 − 0.651132I 0
u = −0.857554 + 0.459267I
a = −0.544829 − 1.001310I
b = 0.425826 − 0.982792I
2.25759 + 7.89368I 0
u = −0.857554 − 0.459267I
a = −0.544829 + 1.001310I
b = 0.425826 + 0.982792I
2.25759 − 7.89368I 0
u = 1.027200 + 0.030408I
a = 1.251760 + 0.113225I
b = −0.821562 − 0.901812I
−2.85315 − 3.06998I 0
u = 1.027200 − 0.030408I
a = 1.251760 − 0.113225I
b = −0.821562 + 0.901812I
−2.85315 + 3.06998I 0
u = 0.511371 + 0.891488I
a = 4.81043 + 2.73170I
b = −0.366736 + 0.764497I
0.22700 + 3.68030I 0
u = 0.511371 − 0.891488I
a = 4.81043 − 2.73170I
b = −0.366736 − 0.764497I
0.22700 − 3.68030I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.954773 + 0.399875I
a = 1.114810 + 0.371359I
b = −0.838711 + 0.981826I
−5.96628 + 11.93610I 0
u = −0.954773 − 0.399875I
a = 1.114810 − 0.371359I
b = −0.838711 − 0.981826I
−5.96628 − 11.93610I 0
u = 0.495783 + 0.817895I
a = 0.47218 − 3.80289I
b = −0.304347 − 0.764185I
0.474880 + 0.427443I 0
u = 0.495783 − 0.817895I
a = 0.47218 + 3.80289I
b = −0.304347 + 0.764185I
0.474880 − 0.427443I 0
u = 0.442328 + 0.966095I
a = −0.188046 − 0.726355I
b = −0.206747 + 0.360314I
−0.42331 + 2.75224I 0
u = 0.442328 − 0.966095I
a = −0.188046 + 0.726355I
b = −0.206747 − 0.360314I
−0.42331 − 2.75224I 0
u = −0.435286 + 0.975110I
a = 1.84603 − 0.96584I
b = −0.378271 − 1.055990I
−0.93138 − 4.78594I 0
u = −0.435286 − 0.975110I
a = 1.84603 + 0.96584I
b = −0.378271 + 1.055990I
−0.93138 + 4.78594I 0
u = −0.335424 + 1.022430I
a = 0.633874 − 0.863645I
b = −0.714957 + 0.191046I
−3.72797 − 0.83654I 0
u = −0.335424 − 1.022430I
a = 0.633874 + 0.863645I
b = −0.714957 − 0.191046I
−3.72797 + 0.83654I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.885662 + 0.616135I
a = −0.792115 − 1.026420I
b = 0.302376 − 0.842845I
2.96137 + 3.75608I 0
u = 0.885662 − 0.616135I
a = −0.792115 + 1.026420I
b = 0.302376 + 0.842845I
2.96137 − 3.75608I 0
u = 0.481557 + 0.972545I
a = −0.28450 − 3.24363I
b = 0.858693 + 0.897946I
−7.09470 − 0.51155I 0
u = 0.481557 − 0.972545I
a = −0.28450 + 3.24363I
b = 0.858693 − 0.897946I
−7.09470 + 0.51155I 0
u = 0.848669 + 0.330833I
a = −0.869068 + 0.875953I
b = 0.249847 + 0.830961I
3.22915 − 0.49581I 0
u = 0.848669 − 0.330833I
a = −0.869068 − 0.875953I
b = 0.249847 − 0.830961I
3.22915 + 0.49581I 0
u = 0.496910 + 0.969309I
a = −4.30112 − 0.91811I
b = 0.847726 − 0.924734I
−7.00971 + 5.82431I 0
u = 0.496910 − 0.969309I
a = −4.30112 + 0.91811I
b = 0.847726 + 0.924734I
−7.00971 − 5.82431I 0
u = −0.307628 + 1.048570I
a = −1.38854 + 1.25263I
b = 0.882149 − 0.968150I
−10.51930 + 2.73208I 0
u = −0.307628 − 1.048570I
a = −1.38854 − 1.25263I
b = 0.882149 + 0.968150I
−10.51930 − 2.73208I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.501616 + 0.982193I
a = 0.352505 − 0.078570I
b = −0.538847 + 1.044320I
−0.517012 − 0.811673I 0
u = −0.501616 − 0.982193I
a = 0.352505 + 0.078570I
b = −0.538847 − 1.044320I
−0.517012 + 0.811673I 0
u = −0.716350 + 0.537726I
a = −0.74398 + 1.45731I
b = 0.067086 + 0.995847I
4.33816 + 2.12439I 0
u = −0.716350 − 0.537726I
a = −0.74398 − 1.45731I
b = 0.067086 − 0.995847I
4.33816 − 2.12439I 0
u = −0.336126 + 1.063530I
a = −2.21471 − 0.40695I
b = 0.921333 + 0.890200I
−10.77110 − 3.90533I 0
u = −0.336126 − 1.063530I
a = −2.21471 + 0.40695I
b = 0.921333 − 0.890200I
−10.77110 + 3.90533I 0
u = −0.786461 + 0.400210I
a = −0.453433 + 0.190964I
b = 0.683514 + 0.292441I
0.06293 + 3.86040I 0
u = −0.786461 − 0.400210I
a = −0.453433 − 0.190964I
b = 0.683514 − 0.292441I
0.06293 − 3.86040I 0
u = −0.248408 + 0.815682I
a = −0.620667 + 0.770716I
b = −0.215599 + 0.978033I
0.03402 + 1.62772I 0. − 5.83773I
u = −0.248408 − 0.815682I
a = −0.620667 − 0.770716I
b = −0.215599 − 0.978033I
0.03402 − 1.62772I 0. + 5.83773I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.131774 + 1.152770I
a = −1.45241 − 0.17244I
b = 0.652615 + 0.482184I
−5.04933 + 1.45448I 0
u = −0.131774 − 1.152770I
a = −1.45241 + 0.17244I
b = 0.652615 − 0.482184I
−5.04933 − 1.45448I 0
u = 0.618669 + 0.564064I
a = −0.731160 + 0.168587I
b = 0.337857 + 0.044079I
1.11274 + 1.43343I 0
u = 0.618669 − 0.564064I
a = −0.731160 − 0.168587I
b = 0.337857 − 0.044079I
1.11274 − 1.43343I 0
u = −0.486797 + 0.675531I
a = 2.08735 − 1.12575I
b = −0.605434 − 0.973948I
0.48275 − 3.26120I 0
u = −0.486797 − 0.675531I
a = 2.08735 + 1.12575I
b = −0.605434 + 0.973948I
0.48275 + 3.26120I 0
u = −0.515401 + 1.049240I
a = 1.234010 − 0.202961I
b = −0.795511 − 0.414270I
−2.53671 − 5.70933I 0
u = −0.515401 − 1.049240I
a = 1.234010 + 0.202961I
b = −0.795511 + 0.414270I
−2.53671 + 5.70933I 0
u = 0.494599 + 0.643086I
a = −1.04179 + 1.56013I
b = 0.833613 + 0.904001I
−6.02813 − 1.72993I −7.66096 + 0.I
u = 0.494599 − 0.643086I
a = −1.04179 − 1.56013I
b = 0.833613 − 0.904001I
−6.02813 + 1.72993I −7.66096 + 0.I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.520441 + 1.079590I
a = −2.50628 + 0.70243I
b = 0.833253 + 1.003160I
−9.09740 − 9.67597I 0
u = −0.520441 − 1.079590I
a = −2.50628 − 0.70243I
b = 0.833253 − 1.003160I
−9.09740 + 9.67597I 0
u = −0.497538 + 1.092080I
a = −0.40904 + 1.48452I
b = 0.914869 − 0.818882I
−9.68241 − 3.22210I 0
u = −0.497538 − 1.092080I
a = −0.40904 − 1.48452I
b = 0.914869 + 0.818882I
−9.68241 + 3.22210I 0
u = −0.603639 + 1.040350I
a = 0.712076 − 0.808224I
b = 0.024797 − 1.053490I
2.83612 − 7.19113I 0
u = −0.603639 − 1.040350I
a = 0.712076 + 0.808224I
b = 0.024797 + 1.053490I
2.83612 + 7.19113I 0
u = −0.008517 + 1.202810I
a = −1.171860 + 0.337612I
b = 0.495583 − 0.885320I
−3.75875 + 5.69385I 0
u = −0.008517 − 1.202810I
a = −1.171860 − 0.337612I
b = 0.495583 + 0.885320I
−3.75875 − 5.69385I 0
u = 0.521857 + 1.085650I
a = −0.694262 − 0.567269I
b = 0.362113 + 0.388664I
−0.46985 + 2.99535I 0
u = 0.521857 − 1.085650I
a = −0.694262 + 0.567269I
b = 0.362113 − 0.388664I
−0.46985 − 2.99535I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.724609 + 0.963903I
a = −0.147279 + 0.759365I
b = 0.177058 + 0.763394I
1.92331 + 2.16760I 0
u = 0.724609 − 0.963903I
a = −0.147279 − 0.759365I
b = 0.177058 − 0.763394I
1.92331 − 2.16760I 0
u = 0.466118 + 0.606924I
a = 0.376644 + 0.066273I
b = 0.831644 − 0.905874I
−6.02130 + 4.47862I −6.84478 − 6.25873I
u = 0.466118 − 0.606924I
a = 0.376644 − 0.066273I
b = 0.831644 + 0.905874I
−6.02130 − 4.47862I −6.84478 + 6.25873I
u = −0.600794 + 1.108700I
a = −0.615812 + 0.860511I
b = 0.763068 − 0.309131I
−2.02943 − 9.07322I 0
u = −0.600794 − 1.108700I
a = −0.615812 − 0.860511I
b = 0.763068 + 0.309131I
−2.02943 + 9.07322I 0
u = 0.981681 + 0.808812I
a = 1.44463 + 0.39076I
b = −0.824528 + 0.920065I
−3.67065 + 6.52415I 0
u = 0.981681 − 0.808812I
a = 1.44463 − 0.39076I
b = −0.824528 − 0.920065I
−3.67065 − 6.52415I 0
u = 0.962702 + 0.841959I
a = 0.705311 + 0.351305I
b = −0.834536 − 0.886420I
−3.77486 + 0.33567I 0
u = 0.962702 − 0.841959I
a = 0.705311 − 0.351305I
b = −0.834536 + 0.886420I
−3.77486 − 0.33567I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.642079 + 1.111450I
a = −1.86968 + 0.86375I
b = 0.452310 + 1.017020I
0.28760 − 13.45100I 0
u = −0.642079 − 1.111450I
a = −1.86968 − 0.86375I
b = 0.452310 − 1.017020I
0.28760 + 13.45100I 0
u = 0.653023 + 1.146890I
a = −1.71130 − 0.69568I
b = 0.377764 − 0.847444I
0.84141 + 6.09074I 0
u = 0.653023 − 1.146890I
a = −1.71130 + 0.69568I
b = 0.377764 + 0.847444I
0.84141 − 6.09074I 0
u = −0.602288 + 0.306455I
a = −0.500477 − 0.775423I
b = 0.829104 − 0.966580I
−6.94884 + 5.24603I −0.89797 − 3.65025I
u = −0.602288 − 0.306455I
a = −0.500477 + 0.775423I
b = 0.829104 + 0.966580I
−6.94884 − 5.24603I −0.89797 + 3.65025I
u = −0.643378 + 1.170880I
a = 0.49879 − 1.47590I
b = −0.917934 + 0.838845I
−8.8221 − 11.2866I 0
u = −0.643378 − 1.170880I
a = 0.49879 + 1.47590I
b = −0.917934 − 0.838845I
−8.8221 + 11.2866I 0
u = −0.654680 + 1.169780I
a = 2.50773 − 0.59269I
b = −0.845297 − 0.994247I
−8.3247 − 17.7909I 0
u = −0.654680 − 1.169780I
a = 2.50773 + 0.59269I
b = −0.845297 + 0.994247I
−8.3247 + 17.7909I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.106772 + 1.336530I
a = 1.94764 + 0.93501I
b = −0.895094 − 0.877393I
−12.53720 + 2.14016I 0
u = −0.106772 − 1.336530I
a = 1.94764 − 0.93501I
b = −0.895094 + 0.877393I
−12.53720 − 2.14016I 0
u = −0.608796 + 0.241383I
a = −0.260844 + 0.431600I
b = 0.878462 + 0.850220I
−7.31889 − 1.08877I −1.71710 + 1.55322I
u = −0.608796 − 0.241383I
a = −0.260844 − 0.431600I
b = 0.878462 − 0.850220I
−7.31889 + 1.08877I −1.71710 − 1.55322I
u = −0.085403 + 1.345550I
a = 1.94973 − 0.89454I
b = −0.857458 + 0.959884I
−12.2733 + 8.6180I 0
u = −0.085403 − 1.345550I
a = 1.94973 + 0.89454I
b = −0.857458 − 0.959884I
−12.2733 − 8.6180I 0
u = 0.590589 + 1.280660I
a = 1.03845 + 1.35814I
b = −0.859053 − 0.878861I
−6.71027 + 2.59153I 0
u = 0.590589 − 1.280660I
a = 1.03845 − 1.35814I
b = −0.859053 + 0.878861I
−6.71027 − 2.59153I 0
u = 0.61589 + 1.27907I
a = 2.40565 + 0.04727I
b = −0.837169 + 0.937778I
−6.52555 + 8.89397I 0
u = 0.61589 − 1.27907I
a = 2.40565 − 0.04727I
b = −0.837169 − 0.937778I
−6.52555 − 8.89397I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.397629 + 0.335038I
a = −0.446115 − 0.890174I
b = −0.617980 + 0.502353I
−0.69586 + 1.56046I −1.20236 − 4.38031I
u = −0.397629 − 0.335038I
a = −0.446115 + 0.890174I
b = −0.617980 − 0.502353I
−0.69586 − 1.56046I −1.20236 + 4.38031I
u = −0.190813 + 0.456129I
a = −0.26886 − 1.66079I
b = −0.597450 + 0.605363I
−0.67284 + 1.56655I −1.33932 − 5.04903I
u = −0.190813 − 0.456129I
a = −0.26886 + 1.66079I
b = −0.597450 − 0.605363I
−0.67284 − 1.56655I −1.33932 + 5.04903I
u = −0.042138 + 0.164105I
a = −3.50773 + 1.29660I
b = −0.338604 + 0.829605I
0.35198 + 1.84473I 0.73666 − 4.91315I
u = −0.042138 − 0.164105I
a = −3.50773 − 1.29660I
b = −0.338604 − 0.829605I
0.35198 − 1.84473I 0.73666 + 4.91315I
14
II. I
u
2
= hb + u − 1, a + u + 2, u
2
− u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
5
=
1
u − 1
a
3
=
u
u − 1
a
1
=
−1
0
a
11
=
−u − 2
−u + 1
a
10
=
−2u − 1
−u + 1
a
7
=
u − 2
−u
a
4
=
−1
0
a
8
=
2u − 2
−u
a
9
=
u − 2
−u
a
12
=
−1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8u + 4
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
4
c
5
, c
6
, c
11
u
2
− u + 1
c
2
, c
7
, c
8
c
9
, c
10
u
2
+ u + 1
c
12
u
2
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
6
c
7
, c
8
, c
9
c
10
, c
11
y
2
+ y + 1
c
12
y
2
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = −2.50000 − 0.86603I
b = 0.500000 − 0.866025I
4.05977I 0. − 6.92820I
u = 0.500000 − 0.866025I
a = −2.50000 + 0.86603I
b = 0.500000 + 0.866025I
− 4.05977I 0. + 6.92820I
18
III. I
u
3
= hb − u, a + 1, u
2
− u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
5
=
1
u − 1
a
3
=
u
u − 1
a
1
=
−1
0
a
11
=
−1
u
a
10
=
u − 1
u
a
7
=
0
u − 1
a
4
=
u
0
a
8
=
−u + 1
u − 1
a
9
=
0
u − 1
a
12
=
−1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = 3
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
6
c
11
u
2
− u + 1
c
2
, c
7
, c
8
c
9
, c
10
u
2
+ u + 1
c
3
, c
4
(u + 1)
2
c
12
u
2
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
, c
7
, c
8
c
9
, c
10
, c
11
y
2
+ y + 1
c
3
, c
4
(y −1)
2
c
12
y
2
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = −1.00000
b = 0.500000 + 0.866025I
0 3.00000
u = 0.500000 − 0.866025I
a = −1.00000
b = 0.500000 − 0.866025I
0 3.00000
22
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
2
)(u
96
+ 43u
95
+ ··· + 80u + 1)
c
2
((u
2
+ u + 1)
2
)(u
96
+ 3u
95
+ ··· + 12u + 1)
c
3
((u + 1)
2
)(u
2
− u + 1)(u
96
+ 42u
94
+ ··· + 1035u + 643)
c
4
((u + 1)
2
)(u
2
− u + 1)(u
96
− 2u
95
+ ··· + 13621u + 1921)
c
5
((u
2
− u + 1)
2
)(u
96
+ 3u
95
+ ··· + 12u + 1)
c
6
((u
2
− u + 1)
2
)(u
96
+ 3u
95
+ ··· − 2u + 1)
c
7
((u
2
+ u + 1)
2
)(u
96
− 7u
95
+ ··· + 4u
2
+ 1)
c
8
, c
9
((u
2
+ u + 1)
2
)(u
96
− 23u
95
+ ··· − 8u + 1)
c
10
((u
2
+ u + 1)
2
)(u
96
+ 3u
95
+ ··· − 2u + 1)
c
11
((u
2
− u + 1)
2
)(u
96
− 23u
95
+ ··· − 8u + 1)
c
12
u
4
(u
96
+ 9u
95
+ ··· − 16u + 16)
23
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
2
)(y
96
+ 23y
95
+ ··· − 1248y + 1)
c
2
, c
5
((y
2
+ y + 1)
2
)(y
96
+ 43y
95
+ ··· + 80y + 1)
c
3
((y −1)
2
)(y
2
+ y + 1)(y
96
+ 84y
95
+ ··· − 1.39094 × 10
7
y + 413449)
c
4
((y −1)
2
)(y
2
+ y + 1)(y
96
+ 116y
95
+ ··· + 9.56989 × 10
7
y + 3690241)
c
6
, c
10
((y
2
+ y + 1)
2
)(y
96
+ 23y
95
+ ··· + 8y + 1)
c
7
((y
2
+ y + 1)
2
)(y
96
+ 11y
95
+ ··· + 8y + 1)
c
8
, c
9
, c
11
((y
2
+ y + 1)
2
)(y
96
+ 103y
95
+ ··· − 48y + 1)
c
12
y
4
(y
96
+ 25y
95
+ ··· + 2944y + 256)
24
