12a
0253
(K12a
0253
)
A knot diagram
1
Linearized knot diagam
3 6 7 10 11 2 12 1 5 4 9 8
Solving Sequence
7,12
8 1
2,9
6 3 4 11 5 10
c
7
c
12
c
8
c
6
c
2
c
3
c
11
c
5
c
10
c
1
, c
4
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h9.24517 × 10
57
u
85
− 1.54464 × 10
58
u
84
+ ··· + 1.11523 × 10
58
b + 1.15745 × 10
57
,
1.50534 × 10
56
u
85
+ 3.04581 × 10
58
u
84
+ ··· + 3.34570 × 10
58
a + 5.43441 × 10
59
, u
86
− 3u
85
+ ··· − 34u − 3i
I
u
2
= h−2a
3
+ a
2
+ 3b − 2a + 12, a
4
− 2a
3
+ a
2
− 6a + 9, u + 1i
I
u
3
= hb − a − 1, a
2
+ a + 1, u − 1i
* 3 irreducible components of dim
C
= 0, with total 92 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
=
h9.25×10
57
u
85
−1.54×10
58
u
84
+· · ·+1.12×10
58
b+1.16×10
57
, 1.51×10
56
u
85
+
3.05 × 10
58
u
84
+ · · · + 3.35 × 10
58
a + 5.43 × 10
59
, u
86
− 3u
85
+ · · · − 34u − 3i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
8
=
1
u
2
a
1
=
−u
−u
3
+ u
a
2
=
−0.00449933u
85
− 0.910366u
84
+ ··· − 141.366u − 16.2430
−0.828990u
85
+ 1.38504u
84
+ ··· − 11.9263u − 0.103785
a
9
=
−u
2
+ 1
−u
4
+ 2u
2
a
6
=
−0.837224u
85
+ 0.0804651u
84
+ ··· − 130.221u − 7.83724
−3.79661u
85
+ 6.58342u
84
+ ··· − 86.4919u − 6.76326
a
3
=
0.176785u
85
− 1.53222u
84
+ ··· − 115.444u − 7.32994
−3.77989u
85
+ 6.61134u
84
+ ··· − 69.8360u − 5.51727
a
4
=
3.95667u
85
− 8.14357u
84
+ ··· − 45.6076u − 1.81266
−3.77989u
85
+ 6.61134u
84
+ ··· − 69.8360u − 5.51727
a
11
=
u
5
− 2u
3
+ u
u
7
− 3u
5
+ 2u
3
+ u
a
5
=
0.170469u
85
− 1.72112u
84
+ ··· − 100.160u − 5.09925
−5.50900u
85
+ 9.39416u
84
+ ··· − 126.089u − 9.76030
a
10
=
0.0483546u
85
+ 0.0549293u
84
+ ··· + 153.570u + 22.9187
−2.19185u
85
+ 4.26494u
84
+ ··· − 65.2290u − 7.04254
(ii) Obstruction class = −1
(iii) Cusp Shapes = 10.4324u
85
− 19.4232u
84
+ ··· + 153.225u + 9.09895
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
86
+ 40u
85
+ ··· − 49u + 9
c
2
, c
6
u
86
− 2u
85
+ ··· − 5u + 3
c
3
u
86
+ 2u
85
+ ··· + 6103u + 867
c
4
, c
9
, c
10
u
86
− u
85
+ ··· + 12u
2
− 4
c
5
u
86
+ u
85
+ ··· − 10416u − 3764
c
7
, c
8
, c
12
u
86
+ 3u
85
+ ··· + 34u − 3
c
11
u
86
− 15u
85
+ ··· − 39168u + 2304
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
86
+ 16y
85
+ ··· − 6973y + 81
c
2
, c
6
y
86
+ 40y
85
+ ··· − 49y + 9
c
3
y
86
− 8y
85
+ ··· − 38342497y + 751689
c
4
, c
9
, c
10
y
86
+ 81y
85
+ ··· − 96y + 16
c
5
y
86
+ 21y
85
+ ··· + 479022176y + 14167696
c
7
, c
8
, c
12
y
86
− 73y
85
+ ··· − 22y + 9
c
11
y
86
+ 41y
85
+ ··· − 33914880y + 5308416
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.937490 + 0.430300I
a = 1.00429 − 1.14454I
b = −0.241775 − 1.011130I
1.144470 + 0.306681I 0
u = −0.937490 − 0.430300I
a = 1.00429 + 1.14454I
b = −0.241775 + 1.011130I
1.144470 − 0.306681I 0
u = 1.005680 + 0.408323I
a = −0.191946 + 0.749339I
b = 0.532327 + 1.041940I
−1.99634 + 3.50206I 0
u = 1.005680 − 0.408323I
a = −0.191946 − 0.749339I
b = 0.532327 − 1.041940I
−1.99634 − 3.50206I 0
u = −0.164209 + 0.884531I
a = 1.55407 − 0.50527I
b = −0.596084 − 1.103410I
6.24183 + 11.34140I 0
u = −0.164209 − 0.884531I
a = 1.55407 + 0.50527I
b = −0.596084 + 1.103410I
6.24183 − 11.34140I 0
u = −0.140641 + 0.851038I
a = 0.719793 − 0.554229I
b = −0.774320 + 0.412576I
8.28971 + 6.17177I 0. − 3.86741I
u = −0.140641 − 0.851038I
a = 0.719793 + 0.554229I
b = −0.774320 − 0.412576I
8.28971 − 6.17177I 0. + 3.86741I
u = 1.108240 + 0.304185I
a = −0.660682 − 0.518695I
b = 0.590338 − 0.517278I
−0.416671 − 0.977097I 0
u = 1.108240 − 0.304185I
a = −0.660682 + 0.518695I
b = 0.590338 + 0.517278I
−0.416671 + 0.977097I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.191772 + 0.814006I
a = −1.62696 − 0.60410I
b = 0.575207 − 1.088420I
0.50319 − 7.91768I −8.00000 + 8.55988I
u = 0.191772 − 0.814006I
a = −1.62696 + 0.60410I
b = 0.575207 + 1.088420I
0.50319 + 7.91768I −8.00000 − 8.55988I
u = −0.643264 + 0.517594I
a = −0.069274 + 0.763693I
b = −0.388813 + 1.051620I
0.126526 − 1.348510I −10.09845 + 0.59644I
u = −0.643264 − 0.517594I
a = −0.069274 − 0.763693I
b = −0.388813 − 1.051620I
0.126526 + 1.348510I −10.09845 − 0.59644I
u = 0.679429 + 0.440262I
a = −1.07780 − 1.26627I
b = 0.378317 − 1.023720I
−3.03860 − 2.82315I −15.8960 + 4.7165I
u = 0.679429 − 0.440262I
a = −1.07780 + 1.26627I
b = 0.378317 + 1.023720I
−3.03860 + 2.82315I −15.8960 − 4.7165I
u = −0.214594 + 0.780092I
a = −0.090560 + 0.441568I
b = −0.139371 + 1.089850I
3.33866 + 4.01408I −7.17137 − 3.50293I
u = −0.214594 − 0.780092I
a = −0.090560 − 0.441568I
b = −0.139371 − 1.089850I
3.33866 − 4.01408I −7.17137 + 3.50293I
u = −0.515177 + 0.622214I
a = 1.33600 − 1.11735I
b = −0.447982 − 1.078400I
0.52472 + 5.60317I −8.80517 − 7.78208I
u = −0.515177 − 0.622214I
a = 1.33600 + 1.11735I
b = −0.447982 + 1.078400I
0.52472 − 5.60317I −8.80517 + 7.78208I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.119280 + 0.428552I
a = 0.620787 − 0.453878I
b = −0.695633 − 0.422165I
5.30202 − 1.57924I 0
u = −1.119280 − 0.428552I
a = 0.620787 + 0.453878I
b = −0.695633 + 0.422165I
5.30202 + 1.57924I 0
u = −1.105670 + 0.488129I
a = 0.196535 + 0.684274I
b = −0.570013 + 1.080940I
3.37107 − 6.46244I 0
u = −1.105670 − 0.488129I
a = 0.196535 − 0.684274I
b = −0.570013 − 1.080940I
3.37107 + 6.46244I 0
u = 0.140406 + 0.768282I
a = −0.667609 − 0.599757I
b = 0.717440 + 0.412450I
2.48759 − 2.96564I −4.45963 + 4.32184I
u = 0.140406 − 0.768282I
a = −0.667609 + 0.599757I
b = 0.717440 − 0.412450I
2.48759 + 2.96564I −4.45963 − 4.32184I
u = −1.202960 + 0.205672I
a = 0.342628 + 0.698123I
b = −0.626797 + 0.954629I
−1.81208 − 0.80751I 0
u = −1.202960 − 0.205672I
a = 0.342628 − 0.698123I
b = −0.626797 − 0.954629I
−1.81208 + 0.80751I 0
u = −1.224330 + 0.109317I
a = 1.69292 − 2.80660I
b = 0.304875 − 0.972720I
1.75123 − 1.09860I 0
u = −1.224330 − 0.109317I
a = 1.69292 + 2.80660I
b = 0.304875 + 0.972720I
1.75123 + 1.09860I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.059355 + 0.763438I
a = −0.842674 − 0.752985I
b = 0.727407 + 0.546983I
9.00597 + 3.45050I 0.30379 − 3.33870I
u = −0.059355 − 0.763438I
a = −0.842674 + 0.752985I
b = 0.727407 − 0.546983I
9.00597 − 3.45050I 0.30379 + 3.33870I
u = −1.209790 + 0.313017I
a = 0.618892 + 0.832585I
b = 0.670549 − 0.456636I
5.48833 + 0.44898I 0
u = −1.209790 − 0.313017I
a = 0.618892 − 0.832585I
b = 0.670549 + 0.456636I
5.48833 − 0.44898I 0
u = 1.276820 + 0.021621I
a = −0.460719 − 0.637385I
b = 0.678388 − 0.823248I
0.65889 − 2.60578I 0
u = 1.276820 − 0.021621I
a = −0.460719 + 0.637385I
b = 0.678388 + 0.823248I
0.65889 + 2.60578I 0
u = −1.250950 + 0.268546I
a = 0.564274 − 0.541799I
b = −0.707247 − 0.625782I
−0.84391 + 4.29232I 0
u = −1.250950 − 0.268546I
a = 0.564274 + 0.541799I
b = −0.707247 + 0.625782I
−0.84391 − 4.29232I 0
u = −0.012356 + 0.713233I
a = −1.99890 − 0.30381I
b = 0.611337 − 1.024340I
7.58994 − 1.66047I −1.74027 + 2.14109I
u = −0.012356 − 0.713233I
a = −1.99890 + 0.30381I
b = 0.611337 + 1.024340I
7.58994 + 1.66047I −1.74027 − 2.14109I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.140963 + 0.690414I
a = 1.88863 − 0.66965I
b = −0.567774 − 1.045600I
1.27316 + 4.01440I −5.59358 − 2.50795I
u = −0.140963 − 0.690414I
a = 1.88863 + 0.66965I
b = −0.567774 + 1.045600I
1.27316 − 4.01440I −5.59358 + 2.50795I
u = −1.268500 + 0.283353I
a = −1.85901 + 2.51368I
b = 0.564722 + 1.064450I
3.69862 + 5.25403I 0
u = −1.268500 − 0.283353I
a = −1.85901 − 2.51368I
b = 0.564722 − 1.064450I
3.69862 − 5.25403I 0
u = 0.285903 + 0.636287I
a = 0.203378 + 0.466290I
b = 0.211263 + 1.020930I
−1.89412 − 1.00150I −12.28501 + 3.83404I
u = 0.285903 − 0.636287I
a = 0.203378 − 0.466290I
b = 0.211263 − 1.020930I
−1.89412 + 1.00150I −12.28501 − 3.83404I
u = −0.032720 + 0.696278I
a = 0.678188 − 0.750281I
b = −0.672048 + 0.493933I
2.90283 − 0.80168I −2.77950 + 3.30570I
u = −0.032720 − 0.696278I
a = 0.678188 + 0.750281I
b = −0.672048 − 0.493933I
2.90283 + 0.80168I −2.77950 − 3.30570I
u = 1.281200 + 0.292712I
a = −0.307225 + 0.653899I
b = 0.662193 + 1.001970I
3.56173 − 1.97670I 0
u = 1.281200 − 0.292712I
a = −0.307225 − 0.653899I
b = 0.662193 − 1.001970I
3.56173 + 1.97670I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.475283 + 0.484878I
a = 0.510538 − 0.361911I
b = −0.542318 + 0.119668I
3.06367 + 1.77620I −4.34056 − 4.01240I
u = −0.475283 − 0.484878I
a = 0.510538 + 0.361911I
b = −0.542318 − 0.119668I
3.06367 − 1.77620I −4.34056 + 4.01240I
u = 1.299880 + 0.276010I
a = −0.542867 + 0.559023I
b = −0.717220 − 0.354248I
−1.25881 − 2.70593I 0
u = 1.299880 − 0.276010I
a = −0.542867 − 0.559023I
b = −0.717220 + 0.354248I
−1.25881 + 2.70593I 0
u = 1.304220 + 0.324168I
a = −0.546651 − 0.509287I
b = 0.770756 − 0.604539I
4.74301 − 7.37621I 0
u = 1.304220 − 0.324168I
a = −0.546651 + 0.509287I
b = 0.770756 + 0.604539I
4.74301 + 7.37621I 0
u = 1.352410 + 0.174405I
a = −0.81324 − 2.16272I
b = −0.249471 − 1.099780I
−5.55408 − 0.16925I 0
u = 1.352410 − 0.174405I
a = −0.81324 + 2.16272I
b = −0.249471 + 1.099780I
−5.55408 + 0.16925I 0
u = 1.352140 + 0.292186I
a = 1.43499 + 2.27569I
b = −0.563322 + 1.107880I
−3.45130 − 7.60457I 0
u = 1.352140 − 0.292186I
a = 1.43499 − 2.27569I
b = −0.563322 − 1.107880I
−3.45130 + 7.60457I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.38831
a = 0.567618
b = 0.720202
−6.55086 0
u = −1.351850 + 0.324366I
a = 0.391496 + 0.542908I
b = 0.791439 − 0.364830I
−2.21861 + 6.91647I 0
u = −1.351850 − 0.324366I
a = 0.391496 − 0.542908I
b = 0.791439 + 0.364830I
−2.21861 − 6.91647I 0
u = 1.393980 + 0.099240I
a = −0.540745 + 0.161854I
b = −0.738441 − 0.118627I
−2.87844 − 3.59222I 0
u = 1.393980 − 0.099240I
a = −0.540745 − 0.161854I
b = −0.738441 + 0.118627I
−2.87844 + 3.59222I 0
u = −1.381300 + 0.261910I
a = 0.76597 − 1.83243I
b = 0.185250 − 1.144530I
−7.11430 + 4.28554I 0
u = −1.381300 − 0.261910I
a = 0.76597 + 1.83243I
b = 0.185250 + 1.144530I
−7.11430 − 4.28554I 0
u = 1.361770 + 0.368227I
a = −0.313580 + 0.571371I
b = −0.822713 − 0.393707I
3.55461 − 10.55500I 0
u = 1.361770 − 0.368227I
a = −0.313580 − 0.571371I
b = −0.822713 + 0.393707I
3.55461 + 10.55500I 0
u = 1.38140 + 0.32368I
a = −0.76839 − 1.67329I
b = −0.139012 − 1.165260I
−1.70286 − 8.00114I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.38140 − 0.32368I
a = −0.76839 + 1.67329I
b = −0.139012 + 1.165260I
−1.70286 + 8.00114I 0
u = −1.38065 + 0.34200I
a = −1.41854 + 2.02252I
b = 0.587418 + 1.124720I
−4.46950 + 12.08680I 0
u = −1.38065 − 0.34200I
a = −1.41854 − 2.02252I
b = 0.587418 − 1.124720I
−4.46950 − 12.08680I 0
u = 1.43042 + 0.03954I
a = −0.16221 − 2.40323I
b = −0.360833 − 1.146350I
−6.62289 + 0.05087I 0
u = 1.43042 − 0.03954I
a = −0.16221 + 2.40323I
b = −0.360833 + 1.146350I
−6.62289 − 0.05087I 0
u = 1.38019 + 0.38195I
a = 1.47204 + 1.87953I
b = −0.607318 + 1.125960I
1.3661 − 15.8872I 0
u = 1.38019 − 0.38195I
a = 1.47204 − 1.87953I
b = −0.607318 − 1.125960I
1.3661 + 15.8872I 0
u = −1.44057 + 0.05057I
a = −0.23575 + 2.46811I
b = 0.421098 + 1.150570I
−9.88134 + 4.04361I 0
u = −1.44057 − 0.05057I
a = −0.23575 − 2.46811I
b = 0.421098 − 1.150570I
−9.88134 − 4.04361I 0
u = 1.44058 + 0.13086I
a = 0.59079 + 2.42841I
b = −0.470411 + 1.150770I
−5.89285 − 8.01676I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.44058 − 0.13086I
a = 0.59079 − 2.42841I
b = −0.470411 − 1.150770I
−5.89285 + 8.01676I 0
u = 0.455616
a = −0.438747
b = 0.323601
−0.724667 −13.5020
u = −0.299519 + 0.225484I
a = −1.06879 + 1.18717I
b = −0.385808 + 0.901420I
−0.52400 − 1.62426I −4.72668 + 3.34789I
u = −0.299519 − 0.225484I
a = −1.06879 − 1.18717I
b = −0.385808 − 0.901420I
−0.52400 + 1.62426I −4.72668 − 3.34789I
u = −0.128640 + 0.138655I
a = −0.21986 − 5.36593I
b = 0.522501 + 0.812392I
4.95984 + 2.14799I 0.37118 − 3.75545I
u = −0.128640 − 0.138655I
a = −0.21986 + 5.36593I
b = 0.522501 − 0.812392I
4.95984 − 2.14799I 0.37118 + 3.75545I
13
II. I
u
2
= h−2a
3
+ a
2
+ 3b − 2a + 12, a
4
− 2a
3
+ a
2
− 6a + 9, u + 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
−1
a
8
=
1
1
a
1
=
1
0
a
2
=
a
2
3
a
3
−
1
3
a
2
+
2
3
a − 4
a
9
=
0
1
a
6
=
a
3
− 5
−
2
3
a
3
+
1
3
a
2
−
2
3
a + 3
a
3
=
−
1
3
a
3
−
1
3
a
2
+
2
3
a + 2
2
3
a
3
−
1
3
a
2
+
2
3
a − 3
a
4
=
−a
3
+ 5
2
3
a
3
−
1
3
a
2
+
2
3
a − 3
a
11
=
0
−1
a
5
=
a
3
− 5
−
5
3
a
3
+
1
3
a
2
−
2
3
a + 8
a
10
=
2
2
3
a
3
−
1
3
a
2
−
1
3
a − 4
(ii) Obstruction class = 1
(iii) Cusp Shapes =
8
3
a
3
−
4
3
a
2
+
8
3
a − 20
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
(u
2
− u + 1)
2
c
3
, c
6
(u
2
+ u + 1)
2
c
4
, c
5
, c
9
c
10
(u
2
+ 2)
2
c
7
, c
8
(u + 1)
4
c
11
u
4
c
12
(u − 1)
4
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
(y
2
+ y + 1)
2
c
4
, c
5
, c
9
c
10
(y + 2)
4
c
7
, c
8
, c
12
(y −1)
4
c
11
y
4
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 1.72474 + 0.15892I
b = −0.500000 + 0.866025I
3.28987 − 2.02988I −6.00000 + 3.46410I
u = −1.00000
a = 1.72474 − 0.15892I
b = −0.500000 − 0.866025I
3.28987 + 2.02988I −6.00000 − 3.46410I
u = −1.00000
a = −0.72474 + 1.57313I
b = −0.500000 + 0.866025I
3.28987 − 2.02988I −6.00000 + 3.46410I
u = −1.00000
a = −0.72474 − 1.57313I
b = −0.500000 − 0.866025I
3.28987 + 2.02988I −6.00000 − 3.46410I
17
III. I
u
3
= hb − a − 1, a
2
+ a + 1, u − 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
1
a
8
=
1
1
a
1
=
−1
0
a
2
=
a
a + 1
a
9
=
0
1
a
6
=
0
a
a
3
=
a
a
a
4
=
0
a
a
11
=
0
1
a
5
=
0
a
a
10
=
0
1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4a − 14
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
6
u
2
− u + 1
c
2
u
2
+ u + 1
c
4
, c
5
, c
9
c
10
, c
11
u
2
c
7
, c
8
(u − 1)
2
c
12
(u + 1)
2
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
y
2
+ y + 1
c
4
, c
5
, c
9
c
10
, c
11
y
2
c
7
, c
8
, c
12
(y −1)
2
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = −0.500000 + 0.866025I
b = 0.500000 + 0.866025I
−1.64493 + 2.02988I −12.00000 − 3.46410I
u = 1.00000
a = −0.500000 − 0.866025I
b = 0.500000 − 0.866025I
−1.64493 − 2.02988I −12.00000 + 3.46410I
21
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
2
− u + 1)
3
)(u
86
+ 40u
85
+ ··· − 49u + 9)
c
2
((u
2
− u + 1)
2
)(u
2
+ u + 1)(u
86
− 2u
85
+ ··· − 5u + 3)
c
3
(u
2
− u + 1)(u
2
+ u + 1)
2
(u
86
+ 2u
85
+ ··· + 6103u + 867)
c
4
, c
9
, c
10
u
2
(u
2
+ 2)
2
(u
86
− u
85
+ ··· + 12u
2
− 4)
c
5
u
2
(u
2
+ 2)
2
(u
86
+ u
85
+ ··· − 10416u − 3764)
c
6
(u
2
− u + 1)(u
2
+ u + 1)
2
(u
86
− 2u
85
+ ··· − 5u + 3)
c
7
, c
8
((u − 1)
2
)(u + 1)
4
(u
86
+ 3u
85
+ ··· + 34u − 3)
c
11
u
6
(u
86
− 15u
85
+ ··· − 39168u + 2304)
c
12
((u − 1)
4
)(u + 1)
2
(u
86
+ 3u
85
+ ··· + 34u − 3)
22
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
2
+ y + 1)
3
)(y
86
+ 16y
85
+ ··· − 6973y + 81)
c
2
, c
6
((y
2
+ y + 1)
3
)(y
86
+ 40y
85
+ ··· − 49y + 9)
c
3
((y
2
+ y + 1)
3
)(y
86
− 8y
85
+ ··· − 3.83425 × 10
7
y + 751689)
c
4
, c
9
, c
10
y
2
(y + 2)
4
(y
86
+ 81y
85
+ ··· − 96y + 16)
c
5
y
2
(y + 2)
4
(y
86
+ 21y
85
+ ··· + 4.79022 × 10
8
y + 1.41677 × 10
7
)
c
7
, c
8
, c
12
((y −1)
6
)(y
86
− 73y
85
+ ··· − 22y + 9)
c
11
y
6
(y
86
+ 41y
85
+ ··· − 3.39149 × 10
7
y + 5308416)
23
