12a
0571
(K12a
0571
)
A knot diagram
1
Linearized knot diagam
3 7 9 10 11 2 5 12 1 8 6 4
Solving Sequence
2,6
7
3,11
12 1 5 8 9 10 4
c
6
c
2
c
11
c
1
c
5
c
7
c
8
c
10
c
4
c
3
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h3.95686 × 10
684
u
182
− 3.08751 × 10
684
u
181
+ ··· + 4.57143 × 10
684
b − 1.11694 × 10
685
,
− 3.33768 × 10
683
u
182
+ 9.09273 × 10
683
u
181
+ ··· + 4.57143 × 10
684
a + 1.34804 × 10
685
,
u
183
− u
182
+ ··· − 26u + 1i
I
u
2
= h−58996829294u
42
+ 102880855500u
41
+ ··· + 11325634063b − 92288392095,
− 198008949584u
42
+ 286910003657u
41
+ ··· + 11325634063a − 224634503866,
u
43
− u
42
+ ··· + u + 1i
I
u
3
= hb, a − 1, u + 1i
* 3 irreducible components of dim
C
= 0, with total 227 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
= h3.96 × 10
684
u
182
− 3.09 × 10
684
u
181
+ · · · + 4.57 × 10
684
b − 1.12 ×
10
685
, −3.34 × 10
683
u
182
+ 9.09 × 10
683
u
181
+ · · · + 4.57 × 10
684
a + 1.35 ×
10
685
, u
183
− u
182
+ · · · − 26u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
11
=
0.0730118u
182
− 0.198904u
181
+ ··· + 90.5142u − 2.94884
−0.865563u
182
+ 0.675393u
181
+ ··· − 82.7947u + 2.44331
a
12
=
0.938575u
182
− 0.874297u
181
+ ··· + 173.309u − 5.39215
−0.865563u
182
+ 0.675393u
181
+ ··· − 82.7947u + 2.44331
a
1
=
u
3
u
5
− u
3
+ u
a
5
=
1.98433u
182
− 1.70198u
181
+ ··· + 256.368u − 7.59514
−0.881093u
182
+ 0.671278u
181
+ ··· − 69.2985u + 1.52425
a
8
=
−1.97660u
182
+ 1.44326u
181
+ ··· − 46.7057u − 5.66718
−0.730808u
182
+ 0.708014u
181
+ ··· − 163.139u + 9.24102
a
9
=
−4.30363u
182
+ 3.58723u
181
+ ··· − 503.736u + 16.0646
−0.912461u
182
+ 0.810284u
181
+ ··· − 164.734u + 10.5737
a
10
=
−4.31508u
182
+ 3.59217u
181
+ ··· − 504.738u + 16.1070
−1.02164u
182
+ 0.890038u
181
+ ··· − 177.623u + 11.2268
a
4
=
−1.13902u
182
+ 0.855105u
181
+ ··· − 104.038u − 2.14870
0.627441u
182
− 0.503619u
181
+ ··· + 38.3100u + 0.604035
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.55871u
182
+ 1.98436u
181
+ ··· − 601.882u + 26.8946
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
183
+ 73u
182
+ ··· + 140u + 1
c
2
, c
6
u
183
− u
182
+ ··· − 26u + 1
c
3
u
183
+ 16u
181
+ ··· + 13120u − 6587
c
4
u
183
+ 3u
182
+ ··· + 23844880676u + 2117995963
c
5
, c
11
u
183
− 59u
181
+ ··· + 49924u + 6638
c
7
u
183
− 4u
182
+ ··· − 79u + 1
c
8
u
183
+ u
182
+ ··· − 49629456462u + 10428858667
c
9
u
183
+ 11u
182
+ ··· − 25134u + 3142
c
10
u
183
− 7u
182
+ ··· − 7u − 1
c
12
u
183
+ 17u
182
+ ··· + 3u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
183
+ 71y
182
+ ··· − 14140y −1
c
2
, c
6
y
183
− 73y
182
+ ··· + 140y −1
c
3
y
183
+ 32y
182
+ ··· − 197765172y −43388569
c
4
y
183
− 97y
182
+ ··· + 5.30 × 10
20
y −4.49 × 10
18
c
5
, c
11
y
183
− 118y
182
+ ··· + 4475548104y −44063044
c
7
y
183
+ 4y
182
+ ··· + 1331y −1
c
8
y
183
− 73y
182
+ ··· + 3.70 × 10
21
y −1.09 × 10
20
c
9
y
183
+ 47y
182
+ ··· + 8565230252y −9872164
c
10
y
183
− 17y
182
+ ··· + 23y −1
c
12
y
183
− 49y
182
+ ··· − 71y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.804086 + 0.597313I
a = −1.88182 − 1.85240I
b = −1.51604 + 0.72956I
0.78321 + 5.97914I 0
u = −0.804086 − 0.597313I
a = −1.88182 + 1.85240I
b = −1.51604 − 0.72956I
0.78321 − 5.97914I 0
u = −0.968465 + 0.204179I
a = 0.681431 − 0.690236I
b = 0.254549 − 1.090810I
−2.78855 + 0.17947I 0
u = −0.968465 − 0.204179I
a = 0.681431 + 0.690236I
b = 0.254549 + 1.090810I
−2.78855 − 0.17947I 0
u = 0.784543 + 0.583880I
a = −1.35379 + 1.73904I
b = −0.967185 − 0.955823I
−0.075537 + 0.190930I 0
u = 0.784543 − 0.583880I
a = −1.35379 − 1.73904I
b = −0.967185 + 0.955823I
−0.075537 − 0.190930I 0
u = 0.771537 + 0.677709I
a = −0.219574 + 0.755952I
b = −0.471848 − 0.886299I
4.28626 + 0.70719I 0
u = 0.771537 − 0.677709I
a = −0.219574 − 0.755952I
b = −0.471848 + 0.886299I
4.28626 − 0.70719I 0
u = −0.615624 + 0.744589I
a = 0.206463 + 0.385144I
b = −1.158630 − 0.701322I
−1.26582 − 6.65398I 0
u = −0.615624 − 0.744589I
a = 0.206463 − 0.385144I
b = −1.158630 + 0.701322I
−1.26582 + 6.65398I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.945595 + 0.185636I
a = −0.374523 − 0.991767I
b = 0.192487 + 0.021372I
−2.72218 − 3.83344I 0
u = 0.945595 − 0.185636I
a = −0.374523 + 0.991767I
b = 0.192487 − 0.021372I
−2.72218 + 3.83344I 0
u = 0.957428 + 0.082830I
a = 1.35226 − 1.44806I
b = 1.090440 + 0.388673I
−2.41546 − 5.59132I 0
u = 0.957428 − 0.082830I
a = 1.35226 + 1.44806I
b = 1.090440 − 0.388673I
−2.41546 + 5.59132I 0
u = 1.044680 + 0.083571I
a = 2.64047 − 0.64175I
b = 1.085590 − 0.408152I
−2.41862 + 5.61416I 0
u = 1.044680 − 0.083571I
a = 2.64047 + 0.64175I
b = 1.085590 + 0.408152I
−2.41862 − 5.61416I 0
u = −0.659362 + 0.686197I
a = −0.448274 + 0.614066I
b = −1.130220 − 0.617602I
2.20599 − 6.27476I 0
u = −0.659362 − 0.686197I
a = −0.448274 − 0.614066I
b = −1.130220 + 0.617602I
2.20599 + 6.27476I 0
u = 0.667868 + 0.659329I
a = −1.401060 − 0.059418I
b = −1.269760 + 0.374151I
−1.39366 + 5.27272I 0
u = 0.667868 − 0.659329I
a = −1.401060 + 0.059418I
b = −1.269760 − 0.374151I
−1.39366 − 5.27272I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.832572 + 0.659769I
a = −0.798710 − 0.102024I
b = −0.127155 + 1.264060I
5.11906 + 0.42514I 0
u = −0.832572 − 0.659769I
a = −0.798710 + 0.102024I
b = −0.127155 − 1.264060I
5.11906 − 0.42514I 0
u = −0.721508 + 0.781473I
a = 1.150080 + 0.773882I
b = −0.913552 − 0.200853I
3.37130 − 4.99253I 0
u = −0.721508 − 0.781473I
a = 1.150080 − 0.773882I
b = −0.913552 + 0.200853I
3.37130 + 4.99253I 0
u = −1.061230 + 0.074993I
a = 2.81778 + 1.07027I
b = 1.193020 + 0.134541I
−5.88372 − 4.47978I 0
u = −1.061230 − 0.074993I
a = 2.81778 − 1.07027I
b = 1.193020 − 0.134541I
−5.88372 + 4.47978I 0
u = 0.729768 + 0.580809I
a = −2.01374 + 3.77134I
b = −0.875001 − 0.160538I
3.59621 + 3.18555I 0
u = 0.729768 − 0.580809I
a = −2.01374 − 3.77134I
b = −0.875001 + 0.160538I
3.59621 − 3.18555I 0
u = 0.775056 + 0.741065I
a = 0.468878 + 0.589716I
b = −0.574447 − 0.328403I
4.07080 − 1.71524I 0
u = 0.775056 − 0.741065I
a = 0.468878 − 0.589716I
b = −0.574447 + 0.328403I
4.07080 + 1.71524I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.855253 + 0.647139I
a = 0.734078 − 0.607230I
b = 0.095770 + 0.753563I
2.37109 − 2.52576I 0
u = 0.855253 − 0.647139I
a = 0.734078 + 0.607230I
b = 0.095770 − 0.753563I
2.37109 + 2.52576I 0
u = −0.890607 + 0.602506I
a = 0.257989 + 0.377581I
b = 1.27916 + 0.78291I
0.491769 − 1.227750I 0
u = −0.890607 − 0.602506I
a = 0.257989 − 0.377581I
b = 1.27916 − 0.78291I
0.491769 + 1.227750I 0
u = −1.073610 + 0.089757I
a = 2.26071 + 0.88250I
b = 1.275060 + 0.359848I
−3.01048 − 5.23037I 0
u = −1.073610 − 0.089757I
a = 2.26071 − 0.88250I
b = 1.275060 − 0.359848I
−3.01048 + 5.23037I 0
u = −0.650827 + 0.646025I
a = −1.10330 + 1.14170I
b = −0.906991 − 0.382241I
3.12157 − 1.56300I 0
u = −0.650827 − 0.646025I
a = −1.10330 − 1.14170I
b = −0.906991 + 0.382241I
3.12157 + 1.56300I 0
u = −0.579718 + 0.707338I
a = 0.440010 − 0.100121I
b = 1.171120 + 0.371476I
−1.07062 − 1.30229I 0
u = −0.579718 − 0.707338I
a = 0.440010 + 0.100121I
b = 1.171120 − 0.371476I
−1.07062 + 1.30229I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.627576 + 0.889503I
a = 0.613731 + 0.583837I
b = 0.201181 − 1.124280I
6.86968 − 8.72601I 0
u = −0.627576 − 0.889503I
a = 0.613731 − 0.583837I
b = 0.201181 + 1.124280I
6.86968 + 8.72601I 0
u = 1.089170 + 0.004309I
a = 2.29605 − 0.19777I
b = 1.34165 − 0.51669I
−6.71040 + 5.77636I 0
u = 1.089170 − 0.004309I
a = 2.29605 + 0.19777I
b = 1.34165 + 0.51669I
−6.71040 − 5.77636I 0
u = −0.845242 + 0.688470I
a = 0.272507 − 0.178473I
b = 0.868210 + 0.212625I
−0.668854 + 0.328108I 0
u = −0.845242 − 0.688470I
a = 0.272507 + 0.178473I
b = 0.868210 − 0.212625I
−0.668854 − 0.328108I 0
u = −0.871720 + 0.659803I
a = −1.149790 + 0.097355I
b = −0.079998 + 1.289210I
4.99782 + 4.69561I 0
u = −0.871720 − 0.659803I
a = −1.149790 − 0.097355I
b = −0.079998 − 1.289210I
4.99782 − 4.69561I 0
u = −0.904516 + 0.053439I
a = 0.640466 + 1.121410I
b = 0.389672 + 0.665385I
−0.28611 + 1.59809I 0
u = −0.904516 − 0.053439I
a = 0.640466 − 1.121410I
b = 0.389672 − 0.665385I
−0.28611 − 1.59809I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.622313 + 0.653580I
a = −0.305034 + 0.132693I
b = −1.28668 + 0.68962I
1.57573 + 6.31832I 0
u = 0.622313 − 0.653580I
a = −0.305034 − 0.132693I
b = −1.28668 − 0.68962I
1.57573 − 6.31832I 0
u = −0.836262 + 0.715392I
a = −0.881213 − 0.326547I
b = −0.610782 + 0.802006I
3.47032 + 6.94246I 0
u = −0.836262 − 0.715392I
a = −0.881213 + 0.326547I
b = −0.610782 − 0.802006I
3.47032 − 6.94246I 0
u = 0.581389 + 0.936165I
a = 0.646479 − 0.595519I
b = 0.167723 + 1.025120I
6.68101 + 0.05061I 0
u = 0.581389 − 0.936165I
a = 0.646479 + 0.595519I
b = 0.167723 − 1.025120I
6.68101 − 0.05061I 0
u = 0.931243 + 0.599868I
a = −0.682656 − 0.275411I
b = 0.808521 − 1.117020I
−0.56324 − 4.88976I 0
u = 0.931243 − 0.599868I
a = −0.682656 + 0.275411I
b = 0.808521 + 1.117020I
−0.56324 + 4.88976I 0
u = 1.107390 + 0.045773I
a = −2.49976 + 0.23421I
b = −1.259940 + 0.064021I
−6.26958 + 0.10015I 0
u = 1.107390 − 0.045773I
a = −2.49976 − 0.23421I
b = −1.259940 − 0.064021I
−6.26958 − 0.10015I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.774080 + 0.797223I
a = 0.897507 − 0.250365I
b = −0.588803 + 0.436380I
3.87932 − 2.29960I 0
u = 0.774080 − 0.797223I
a = 0.897507 + 0.250365I
b = −0.588803 − 0.436380I
3.87932 + 2.29960I 0
u = −0.684988 + 0.565576I
a = −1.217240 + 0.438700I
b = −0.768663 − 0.508050I
3.54233 + 2.09873I 0
u = −0.684988 − 0.565576I
a = −1.217240 − 0.438700I
b = −0.768663 + 0.508050I
3.54233 − 2.09873I 0
u = 0.786078 + 0.787473I
a = −0.078362 + 0.381478I
b = −0.854273 − 0.355693I
3.35990 − 5.71800I 0
u = 0.786078 − 0.787473I
a = −0.078362 − 0.381478I
b = −0.854273 + 0.355693I
3.35990 + 5.71800I 0
u = −0.690384 + 0.549588I
a = −2.12381 − 4.03693I
b = −0.894453 + 0.251188I
3.35823 + 5.37464I 0
u = −0.690384 − 0.549588I
a = −2.12381 + 4.03693I
b = −0.894453 − 0.251188I
3.35823 − 5.37464I 0
u = −0.859618 + 0.716217I
a = −0.089129 + 0.288175I
b = 0.370265 + 0.757502I
3.39992 − 1.47988I 0
u = −0.859618 − 0.716217I
a = −0.089129 − 0.288175I
b = 0.370265 − 0.757502I
3.39992 + 1.47988I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.075302 + 0.868974I
a = 1.365680 − 0.359231I
b = 0.050464 + 0.310642I
4.27203 + 4.69198I 0
u = −0.075302 − 0.868974I
a = 1.365680 + 0.359231I
b = 0.050464 − 0.310642I
4.27203 − 4.69198I 0
u = −0.727939 + 0.461758I
a = −1.50335 − 1.58092I
b = −1.130880 − 0.380737I
−0.72886 + 2.94415I 0
u = −0.727939 − 0.461758I
a = −1.50335 + 1.58092I
b = −1.130880 + 0.380737I
−0.72886 − 2.94415I 0
u = 0.639216 + 0.570367I
a = −0.115708 − 0.172824I
b = −0.669171 + 0.759190I
3.35772 − 1.25907I 0
u = 0.639216 − 0.570367I
a = −0.115708 + 0.172824I
b = −0.669171 − 0.759190I
3.35772 + 1.25907I 0
u = −1.146440 + 0.063129I
a = −0.308983 + 0.148588I
b = 0.308825 − 0.627728I
−0.19824 − 1.63291I 0
u = −1.146440 − 0.063129I
a = −0.308983 − 0.148588I
b = 0.308825 + 0.627728I
−0.19824 + 1.63291I 0
u = 0.927993 + 0.676423I
a = −0.960077 − 0.279359I
b = 0.363758 − 0.892240I
3.80950 − 5.94710I 0
u = 0.927993 − 0.676423I
a = −0.960077 + 0.279359I
b = 0.363758 + 0.892240I
3.80950 + 5.94710I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.686652 + 0.500534I
a = −0.95150 + 2.41807I
b = −1.81120 + 0.22305I
−0.08217 + 3.42918I 0
u = 0.686652 − 0.500534I
a = −0.95150 − 2.41807I
b = −1.81120 − 0.22305I
−0.08217 − 3.42918I 0
u = 0.975940 + 0.609702I
a = 0.207008 + 1.318360I
b = 0.789006 − 0.337870I
2.78038 − 7.93575I 0
u = 0.975940 − 0.609702I
a = 0.207008 − 1.318360I
b = 0.789006 + 0.337870I
2.78038 + 7.93575I 0
u = −0.823980 + 0.807894I
a = −0.661366 − 1.182780I
b = −1.074960 + 0.309302I
−0.68075 + 5.27880I 0
u = −0.823980 − 0.807894I
a = −0.661366 + 1.182780I
b = −1.074960 − 0.309302I
−0.68075 − 5.27880I 0
u = −1.139910 + 0.213951I
a = 1.91706 + 0.32380I
b = 1.66770 − 0.79542I
−3.55957 − 1.18556I 0
u = −1.139910 − 0.213951I
a = 1.91706 − 0.32380I
b = 1.66770 + 0.79542I
−3.55957 + 1.18556I 0
u = 1.013210 + 0.568393I
a = 1.62756 − 0.95953I
b = 0.830652 + 0.499639I
2.20875 − 3.36417I 0
u = 1.013210 − 0.568393I
a = 1.62756 + 0.95953I
b = 0.830652 − 0.499639I
2.20875 + 3.36417I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.151840 + 0.154662I
a = 0.010016 + 0.398685I
b = 0.209573 + 0.978495I
−0.26884 − 7.85265I 0
u = 1.151840 − 0.154662I
a = 0.010016 − 0.398685I
b = 0.209573 − 0.978495I
−0.26884 + 7.85265I 0
u = −1.009310 + 0.577692I
a = 2.07833 + 0.93833I
b = 0.890024 − 0.287554I
2.49438 + 2.50944I 0
u = −1.009310 − 0.577692I
a = 2.07833 − 0.93833I
b = 0.890024 + 0.287554I
2.49438 − 2.50944I 0
u = 1.010010 + 0.582201I
a = 1.26803 − 1.31464I
b = 1.97259 − 0.08099I
−1.22638 − 7.91000I 0
u = 1.010010 − 0.582201I
a = 1.26803 + 1.31464I
b = 1.97259 + 0.08099I
−1.22638 + 7.91000I 0
u = 0.602125 + 1.010350I
a = 0.436257 + 0.244031I
b = 1.28843 − 0.60858I
3.4487 + 14.8188I 0
u = 0.602125 − 1.010350I
a = 0.436257 − 0.244031I
b = 1.28843 + 0.60858I
3.4487 − 14.8188I 0
u = 1.18146
a = 2.68363
b = 0.963202
−1.54825 0
u = 0.942284 + 0.716877I
a = −0.666318 − 0.369851I
b = 0.520947 − 0.232184I
3.56771 − 3.83933I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.942284 − 0.716877I
a = −0.666318 + 0.369851I
b = 0.520947 + 0.232184I
3.56771 + 3.83933I 0
u = 0.994283 + 0.644562I
a = 2.27949 − 1.45447I
b = 1.334210 + 0.319655I
−2.38828 − 10.38320I 0
u = 0.994283 − 0.644562I
a = 2.27949 + 1.45447I
b = 1.334210 − 0.319655I
−2.38828 + 10.38320I 0
u = 0.474515 + 0.656195I
a = 0.406059 + 0.098625I
b = −1.079700 + 0.698453I
1.91142 + 2.58746I 0
u = 0.474515 − 0.656195I
a = 0.406059 − 0.098625I
b = −1.079700 − 0.698453I
1.91142 − 2.58746I 0
u = −1.008370 + 0.638657I
a = 2.12903 + 1.73560I
b = 1.018580 − 0.326923I
2.02276 + 6.62718I 0
u = −1.008370 − 0.638657I
a = 2.12903 − 1.73560I
b = 1.018580 + 0.326923I
2.02276 − 6.62718I 0
u = 1.009840 + 0.636828I
a = 1.95063 − 1.37133I
b = 1.41880 + 0.63898I
0.41909 − 11.39740I 0
u = 1.009840 − 0.636828I
a = 1.95063 + 1.37133I
b = 1.41880 − 0.63898I
0.41909 + 11.39740I 0
u = −1.000030 + 0.652330I
a = 1.95082 + 1.70847I
b = 1.201080 − 0.593735I
1.17604 + 11.47750I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.000030 − 0.652330I
a = 1.95082 − 1.70847I
b = 1.201080 + 0.593735I
1.17604 − 11.47750I 0
u = −1.029430 + 0.610628I
a = 0.177299 − 0.854499I
b = 0.886085 + 0.520489I
2.20342 − 0.69220I 0
u = −1.029430 − 0.610628I
a = 0.177299 + 0.854499I
b = 0.886085 − 0.520489I
2.20342 + 0.69220I 0
u = 1.152990 + 0.326753I
a = −2.31475 + 0.67023I
b = −1.308180 − 0.403673I
−7.65124 − 4.86256I 0
u = 1.152990 − 0.326753I
a = −2.31475 − 0.67023I
b = −1.308180 + 0.403673I
−7.65124 + 4.86256I 0
u = 0.678139 + 0.412615I
a = 0.06485 − 1.54051I
b = −0.287578 + 0.138657I
1.68800 − 2.53652I 0
u = 0.678139 − 0.412615I
a = 0.06485 + 1.54051I
b = −0.287578 − 0.138657I
1.68800 + 2.53652I 0
u = 0.451630 + 1.120280I
a = 0.808467 + 0.128403I
b = 0.788966 − 0.329452I
4.96751 + 5.36441I 0
u = 0.451630 − 1.120280I
a = 0.808467 − 0.128403I
b = 0.788966 + 0.329452I
4.96751 − 5.36441I 0
u = 0.958960 + 0.737063I
a = 0.001012 − 0.791515I
b = 0.451592 + 0.495719I
3.31100 − 3.47789I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.958960 − 0.737063I
a = 0.001012 + 0.791515I
b = 0.451592 − 0.495719I
3.31100 + 3.47789I 0
u = −1.027550 + 0.650918I
a = −1.64691 − 1.47643I
b = −1.320130 + 0.382087I
−2.37351 + 6.55222I 0
u = −1.027550 − 0.650918I
a = −1.64691 + 1.47643I
b = −1.320130 − 0.382087I
−2.37351 − 6.55222I 0
u = 0.724913 + 0.977792I
a = −0.487917 − 0.307792I
b = −0.856062 + 0.007898I
0.93457 − 4.23267I 0
u = 0.724913 − 0.977792I
a = −0.487917 + 0.307792I
b = −0.856062 − 0.007898I
0.93457 + 4.23267I 0
u = −0.987883 + 0.715023I
a = −0.29672 + 1.92682I
b = 0.895427 − 0.263517I
2.55809 + 10.65380I 0
u = −0.987883 − 0.715023I
a = −0.29672 − 1.92682I
b = 0.895427 + 0.263517I
2.55809 − 10.65380I 0
u = −1.156980 + 0.391399I
a = −1.69844 − 0.96971I
b = −1.223180 − 0.156221I
−7.25441 + 3.06984I 0
u = −1.156980 − 0.391399I
a = −1.69844 + 0.96971I
b = −1.223180 + 0.156221I
−7.25441 − 3.06984I 0
u = 0.945774 + 0.773344I
a = 0.019925 − 0.699707I
b = 0.821639 − 0.199132I
2.89248 − 0.14439I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.945774 − 0.773344I
a = 0.019925 + 0.699707I
b = 0.821639 + 0.199132I
2.89248 + 0.14439I 0
u = −1.026270 + 0.668797I
a = 1.51971 + 1.52275I
b = 1.25354 − 0.76172I
−2.48909 + 12.05940I 0
u = −1.026270 − 0.668797I
a = 1.51971 − 1.52275I
b = 1.25354 + 0.76172I
−2.48909 − 12.05940I 0
u = −0.774246
a = 0.387812
b = 0.533669
−1.12460 0
u = −0.061535 + 0.770664I
a = 0.482902 + 0.202147I
b = 1.159890 − 0.320033I
−3.87589 + 1.10816I 0
u = −0.061535 − 0.770664I
a = 0.482902 − 0.202147I
b = 1.159890 + 0.320033I
−3.87589 − 1.10816I 0
u = 1.056670 + 0.626358I
a = 1.59362 − 1.11314I
b = 1.38531 + 0.77992I
0.28250 − 7.65382I 0
u = 1.056670 − 0.626358I
a = 1.59362 + 1.11314I
b = 1.38531 − 0.77992I
0.28250 + 7.65382I 0
u = −0.718495 + 0.999023I
a = 0.583288 + 0.432455I
b = 0.740289 − 0.388543I
5.05636 − 2.06416I 0
u = −0.718495 − 0.999023I
a = 0.583288 − 0.432455I
b = 0.740289 + 0.388543I
5.05636 + 2.06416I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.101840 + 0.618661I
a = 1.155310 + 0.703711I
b = 1.308720 + 0.109977I
−2.31671 + 1.03980I 0
u = −1.101840 − 0.618661I
a = 1.155310 − 0.703711I
b = 1.308720 − 0.109977I
−2.31671 − 1.03980I 0
u = −0.567882 + 1.138330I
a = 0.464957 − 0.226214I
b = 1.271600 + 0.553031I
3.22536 − 5.65535I 0
u = −0.567882 − 1.138330I
a = 0.464957 + 0.226214I
b = 1.271600 − 0.553031I
3.22536 + 5.65535I 0
u = −0.890872 + 0.922827I
a = −0.824566 − 0.991480I
b = −1.102060 + 0.260318I
−0.65137 + 5.29406I 0
u = −0.890872 − 0.922827I
a = −0.824566 + 0.991480I
b = −1.102060 − 0.260318I
−0.65137 − 5.29406I 0
u = −1.066560 + 0.724803I
a = 0.779754 − 0.127469I
b = −0.159945 − 1.245650I
5.5148 + 14.7014I 0
u = −1.066560 − 0.724803I
a = 0.779754 + 0.127469I
b = −0.159945 + 1.245650I
5.5148 − 14.7014I 0
u = 1.094810 + 0.683544I
a = 1.24038 − 1.41328I
b = 0.929503 + 0.148461I
−0.64896 − 2.02587I 0
u = 1.094810 − 0.683544I
a = 1.24038 + 1.41328I
b = 0.929503 − 0.148461I
−0.64896 + 2.02587I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.29607
a = 1.66723
b = 1.43415
−3.28486 0
u = −1.049840 + 0.795112I
a = −0.254218 − 0.214298I
b = −0.541359 − 0.415729I
3.98360 + 8.56154I 0
u = −1.049840 − 0.795112I
a = −0.254218 + 0.214298I
b = −0.541359 + 0.415729I
3.98360 − 8.56154I 0
u = 1.105210 + 0.737439I
a = 0.647621 + 0.045276I
b = −0.128943 + 1.208340I
5.07166 − 6.19256I 0
u = 1.105210 − 0.737439I
a = 0.647621 − 0.045276I
b = −0.128943 − 1.208340I
5.07166 + 6.19256I 0
u = −0.604599 + 0.250642I
a = 0.644588 + 0.211384I
b = 0.817836 − 0.129222I
−1.259980 + 0.149484I 0
u = −0.604599 − 0.250642I
a = 0.644588 − 0.211384I
b = 0.817836 + 0.129222I
−1.259980 − 0.149484I 0
u = 1.126000 + 0.757651I
a = −1.61331 + 1.32110I
b = −1.34030 − 0.63840I
1.7933 − 21.2356I 0
u = 1.126000 − 0.757651I
a = −1.61331 − 1.32110I
b = −1.34030 + 0.63840I
1.7933 + 21.2356I 0
u = −1.361780 + 0.223856I
a = −1.93804 − 0.21787I
b = −1.318710 + 0.435351I
−4.93300 + 12.66270I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.361780 − 0.223856I
a = −1.93804 + 0.21787I
b = −1.318710 − 0.435351I
−4.93300 − 12.66270I 0
u = 0.238913 + 1.374860I
a = 0.566919 − 0.233375I
b = 1.165150 + 0.319347I
1.17300 − 7.49088I 0
u = 0.238913 − 1.374860I
a = 0.566919 + 0.233375I
b = 1.165150 − 0.319347I
1.17300 + 7.49088I 0
u = −1.164170 + 0.792697I
a = −1.50375 − 1.23961I
b = −1.32265 + 0.61317I
1.34112 + 12.49530I 0
u = −1.164170 − 0.792697I
a = −1.50375 + 1.23961I
b = −1.32265 − 0.61317I
1.34112 − 12.49530I 0
u = 1.193730 + 0.756530I
a = −1.48142 + 0.81141I
b = −0.976705 − 0.382751I
2.70277 − 12.00940I 0
u = 1.193730 − 0.756530I
a = −1.48142 − 0.81141I
b = −0.976705 + 0.382751I
2.70277 + 12.00940I 0
u = 0.086498 + 0.530594I
a = 1.93928 + 0.64244I
b = −1.321440 − 0.082297I
0.26773 + 3.86278I −6.74413 − 2.57295I
u = 0.086498 − 0.530594I
a = 1.93928 − 0.64244I
b = −1.321440 + 0.082297I
0.26773 − 3.86278I −6.74413 + 2.57295I
u = 1.55238 + 0.20933I
a = −1.47493 + 0.24262I
b = −1.147340 + 0.211201I
−4.69493 + 0.59225I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.55238 − 0.20933I
a = −1.47493 − 0.24262I
b = −1.147340 − 0.211201I
−4.69493 − 0.59225I 0
u = 0.017857 + 0.388441I
a = 1.387040 + 0.196354I
b = −0.228211 − 0.528489I
−0.14403 + 1.80274I −1.56449 − 3.52200I
u = 0.017857 − 0.388441I
a = 1.387040 − 0.196354I
b = −0.228211 + 0.528489I
−0.14403 − 1.80274I −1.56449 + 3.52200I
u = 0.376641 + 0.013225I
a = 1.62685 − 1.65575I
b = −0.641836 − 0.556086I
1.90579 − 2.18432I 0.54507 + 4.60290I
u = 0.376641 − 0.013225I
a = 1.62685 + 1.65575I
b = −0.641836 + 0.556086I
1.90579 + 2.18432I 0.54507 − 4.60290I
u = −1.76996
a = −1.43688
b = −0.870610
−3.12003 0
u = −0.102990 + 0.168780I
a = 4.10234 + 1.25167I
b = −1.102290 + 0.413864I
−2.45392 + 5.61938I −4.22238 − 7.36188I
u = −0.102990 − 0.168780I
a = 4.10234 − 1.25167I
b = −1.102290 − 0.413864I
−2.45392 − 5.61938I −4.22238 + 7.36188I
u = 0.163447 + 0.035203I
a = 1.80523 − 0.22659I
b = −0.430116 − 0.711070I
2.67064 + 1.18964I −2.53117 + 2.81460I
u = 0.163447 − 0.035203I
a = 1.80523 + 0.22659I
b = −0.430116 + 0.711070I
2.67064 − 1.18964I −2.53117 − 2.81460I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.0821362 + 0.0591797I
a = 3.18202 + 1.14042I
b = −1.072260 + 0.597795I
0.79590 + 6.19968I −13.0969 − 6.6181I
u = 0.0821362 − 0.0591797I
a = 3.18202 − 1.14042I
b = −1.072260 − 0.597795I
0.79590 − 6.19968I −13.0969 + 6.6181I
u = 1.99860
a = −1.24617
b = −1.41036
−5.42551 0
23
II.
I
u
2
= h−5.90×10
10
u
42
+1.03×10
11
u
41
+· · ·+1.13×10
10
b−9.23×10
10
, −1.98×
10
11
u
42
+2.87×10
11
u
41
+· · ·+1.13×10
10
a−2.25×10
11
, u
43
−u
42
+· · ·+u+1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
11
=
17.4833u
42
− 25.3328u
41
+ ··· − 15.4109u + 19.8342
5.20914u
42
− 9.08389u
41
+ ··· − 1.50955u + 8.14863
a
12
=
12.2741u
42
− 16.2489u
41
+ ··· − 13.9014u + 11.6855
5.20914u
42
− 9.08389u
41
+ ··· − 1.50955u + 8.14863
a
1
=
u
3
u
5
− u
3
+ u
a
5
=
−7.60086u
42
+ 14.9417u
41
+ ··· − 2.42487u − 14.1116
−5.24001u
42
+ 4.27286u
41
+ ··· + 7.92517u − 4.03630
a
8
=
4.84118u
42
− 13.2897u
41
+ ··· + 3.15399u + 12.9360
8.22349u
42
− 7.83110u
41
+ ··· − 12.2461u + 1.07351
a
9
=
7.49761u
42
− 15.2102u
41
+ ··· − 3.56011u + 14.7565
10.2413u
42
− 14.5955u
41
+ ··· − 4.94828u + 8.90173
a
10
=
10.3626u
42
− 20.7186u
41
+ ··· − 2.00541u + 19.2742
9.71604u
42
− 16.2519u
41
+ ··· − 2.18273u + 12.8880
a
4
=
−7.86332u
42
+ 10.5696u
41
+ ··· + 3.42284u − 14.7404
0.596849u
42
− 6.10319u
41
+ ··· + 8.35468u + 7.79430
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
117890973818
11325634063
u
42
+
593240466599
11325634063
u
41
+ ··· −
278122520224
11325634063
u −
949600266536
11325634063
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
43
− 23u
42
+ ··· + 13u − 1
c
2
u
43
+ u
42
+ ··· + u − 1
c
3
u
43
+ 5u
41
+ ··· − 5u − 1
c
4
u
43
+ u
42
+ ··· + 7u − 1
c
5
u
43
+ u
42
+ ··· + 83u
2
− 6
c
6
u
43
− u
42
+ ··· + u + 1
c
7
u
43
+ 6u
42
+ ··· + 14u − 1
c
8
u
43
− 5u
42
+ ··· + 19u + 1
c
9
u
43
− 4u
42
+ ··· − 54u + 6
c
10
u
43
− 11u
42
+ ··· − 2u − 1
c
11
u
43
− u
42
+ ··· − 83u
2
+ 6
c
12
u
43
− 3u
42
+ ··· − 8u − 1
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
43
− 11y
42
+ ··· − 11y −1
c
2
, c
6
y
43
− 23y
42
+ ··· + 13y −1
c
3
y
43
+ 10y
42
+ ··· + 73y −1
c
4
y
43
− 31y
42
+ ··· − 23y −1
c
5
, c
11
y
43
− 37y
42
+ ··· + 996y −36
c
7
y
43
+ 6y
42
+ ··· + 44y −1
c
8
y
43
− 19y
42
+ ··· + 21y −1
c
9
y
43
+ 20y
42
+ ··· + 1176y −36
c
10
y
43
− 23y
42
+ ··· − 4y −1
c
12
y
43
− 31y
42
+ ··· + 30y −1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.593704 + 0.772143I
a = 0.05909 − 1.65495I
b = 0.797889 + 0.124251I
3.78678 − 4.28642I 0.87277 + 2.85849I
u = −0.593704 − 0.772143I
a = 0.05909 + 1.65495I
b = 0.797889 − 0.124251I
3.78678 + 4.28642I 0.87277 − 2.85849I
u = 0.786997 + 0.665602I
a = −0.322398 + 0.298474I
b = −0.238482 − 0.892056I
4.15090 − 0.08237I 1.04840 + 1.75387I
u = 0.786997 − 0.665602I
a = −0.322398 − 0.298474I
b = −0.238482 + 0.892056I
4.15090 + 0.08237I 1.04840 − 1.75387I
u = 0.945937 + 0.090678I
a = 2.84013 − 1.16301I
b = 1.237470 − 0.331297I
−4.19210 + 5.16579I −11.11302 − 5.77828I
u = 0.945937 − 0.090678I
a = 2.84013 + 1.16301I
b = 1.237470 + 0.331297I
−4.19210 − 5.16579I −11.11302 + 5.77828I
u = −0.935928 + 0.493953I
a = 2.17752 + 1.40150I
b = 0.917797 − 0.387230I
1.52579 + 4.00998I −4.00000 − 8.03137I
u = −0.935928 − 0.493953I
a = 2.17752 − 1.40150I
b = 0.917797 + 0.387230I
1.52579 − 4.00998I −4.00000 + 8.03137I
u = −0.939773 + 0.499011I
a = −0.073023 + 0.547692I
b = −0.802635 − 0.610792I
1.52089 − 0.04613I −2.17015 − 1.56886I
u = −0.939773 − 0.499011I
a = −0.073023 − 0.547692I
b = −0.802635 + 0.610792I
1.52089 + 0.04613I −2.17015 + 1.56886I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.587833 + 0.717675I
a = 0.49817 + 1.73103I
b = 1.309910 − 0.327155I
0.52375 + 5.04710I −2.85683 − 6.13110I
u = −0.587833 − 0.717675I
a = 0.49817 − 1.73103I
b = 1.309910 + 0.327155I
0.52375 − 5.04710I −2.85683 + 6.13110I
u = 0.879713 + 0.691057I
a = 0.136099 − 0.225063I
b = −0.486803 − 0.163267I
3.33633 − 4.57776I 0. + 6.71220I
u = 0.879713 − 0.691057I
a = 0.136099 + 0.225063I
b = −0.486803 + 0.163267I
3.33633 + 4.57776I 0. − 6.71220I
u = 0.678810 + 0.543511I
a = 0.93349 − 1.80077I
b = 1.65060 − 0.39327I
0.24440 + 3.44569I 5.46029 − 6.46156I
u = 0.678810 − 0.543511I
a = 0.93349 + 1.80077I
b = 1.65060 + 0.39327I
0.24440 − 3.44569I 5.46029 + 6.46156I
u = −1.126780 + 0.157029I
a = −1.86203 − 0.23615I
b = −1.46901 + 0.72495I
−3.49950 − 1.03555I −2.8077 − 13.8904I
u = −1.126780 − 0.157029I
a = −1.86203 + 0.23615I
b = −1.46901 − 0.72495I
−3.49950 + 1.03555I −2.8077 + 13.8904I
u = 0.893449 + 0.704673I
a = 0.197321 − 0.976881I
b = 0.559152 − 0.089820I
3.29761 − 0.78228I 1.96085 + 1.47809I
u = 0.893449 − 0.704673I
a = 0.197321 + 0.976881I
b = 0.559152 + 0.089820I
3.29761 + 0.78228I 1.96085 − 1.47809I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.313653 + 0.787485I
a = −0.550529 + 0.303905I
b = −1.038130 − 0.473348I
1.41456 − 6.33950I 0.41745 + 8.96807I
u = 0.313653 − 0.787485I
a = −0.550529 − 0.303905I
b = −1.038130 + 0.473348I
1.41456 + 6.33950I 0.41745 − 8.96807I
u = 0.930246 + 0.682309I
a = −0.822579 − 0.164924I
b = 0.098857 − 0.871878I
3.70614 − 5.13803I 0. + 4.55606I
u = 0.930246 − 0.682309I
a = −0.822579 + 0.164924I
b = 0.098857 + 0.871878I
3.70614 + 5.13803I 0. − 4.55606I
u = −0.583377 + 0.605798I
a = −0.319372 + 0.220817I
b = −1.176130 − 0.651951I
1.32646 − 5.72703I −3.22085 − 1.02388I
u = −0.583377 − 0.605798I
a = −0.319372 − 0.220817I
b = −1.176130 + 0.651951I
1.32646 + 5.72703I −3.22085 + 1.02388I
u = 1.013920 + 0.589783I
a = −1.60012 + 1.16308I
b = −1.80153 − 0.25787I
−0.88177 − 8.04919I 0. + 15.0415I
u = 1.013920 − 0.589783I
a = −1.60012 − 1.16308I
b = −1.80153 + 0.25787I
−0.88177 + 8.04919I 0. − 15.0415I
u = 0.802046 + 0.052722I
a = −0.455494 + 1.009480I
b = −1.042860 − 0.426223I
−3.56490 − 5.78777I −13.3027 + 8.6088I
u = 0.802046 − 0.052722I
a = −0.455494 − 1.009480I
b = −1.042860 + 0.426223I
−3.56490 + 5.78777I −13.3027 − 8.6088I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.029030 + 0.648834I
a = 1.89202 + 1.43001I
b = 1.32308 − 0.60763I
−0.03524 + 10.81540I 0. − 6.53524I
u = −1.029030 − 0.648834I
a = 1.89202 − 1.43001I
b = 1.32308 + 0.60763I
−0.03524 − 10.81540I 0. + 6.53524I
u = −1.033970 + 0.726497I
a = −0.38653 − 1.68969I
b = −0.828124 + 0.196197I
2.53070 + 10.01650I 0
u = −1.033970 − 0.726497I
a = −0.38653 + 1.68969I
b = −0.828124 − 0.196197I
2.53070 − 10.01650I 0
u = −0.587795 + 0.405890I
a = −0.766518 + 0.601073I
b = −0.594443 − 0.617518I
2.67480 + 1.95669I −2.76871 − 5.11977I
u = −0.587795 − 0.405890I
a = −0.766518 − 0.601073I
b = −0.594443 + 0.617518I
2.67480 − 1.95669I −2.76871 + 5.11977I
u = −0.659282 + 0.038879I
a = 0.36238 + 2.22186I
b = 0.623858 + 0.561916I
−1.46058 + 1.83864I −11.79157 − 4.08279I
u = −0.659282 − 0.038879I
a = 0.36238 − 2.22186I
b = 0.623858 − 0.561916I
−1.46058 − 1.83864I −11.79157 + 4.08279I
u = 0.269972 + 0.533438I
a = 2.90886 + 3.12500I
b = 0.777591 + 0.032790I
3.18729 − 4.54113I −2.55007 + 3.28825I
u = 0.269972 − 0.533438I
a = 2.90886 − 3.12500I
b = 0.777591 − 0.032790I
3.18729 + 4.54113I −2.55007 − 3.28825I
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.61508
a = −1.36068
b = −1.13613
−4.13305 0
u = 1.72844
a = −1.57010
b = −0.922423
−3.33947 0
u = 2.01210
a = 1.23780
b = 1.42244
−5.39317 0
33
III. I
u
3
= hb, a − 1, u + 1i
(i) Arc colorings
a
2
=
0
−1
a
6
=
1
0
a
7
=
1
1
a
3
=
1
0
a
11
=
1
0
a
12
=
1
0
a
1
=
−1
−1
a
5
=
1
0
a
8
=
0
1
a
9
=
1
1
a
10
=
1
1
a
4
=
2
1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0
34
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
10
, c
12
u − 1
c
5
, c
9
, c
11
u
c
6
, c
7
, c
8
u + 1
35
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
6
, c
7
c
8
, c
10
, c
12
y −1
c
5
, c
9
, c
11
y
36
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 1.00000
b = 0
0 0
37
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u − 1)(u
43
− 23u
42
+ ··· + 13u − 1)(u
183
+ 73u
182
+ ··· + 140u + 1)
c
2
(u − 1)(u
43
+ u
42
+ ··· + u − 1)(u
183
− u
182
+ ··· − 26u + 1)
c
3
(u − 1)(u
43
+ 5u
41
+ ··· − 5u − 1)(u
183
+ 16u
181
+ ··· + 13120u − 6587)
c
4
(u − 1)(u
43
+ u
42
+ ··· + 7u − 1)
· (u
183
+ 3u
182
+ ··· + 23844880676u + 2117995963)
c
5
u(u
43
+ u
42
+ ··· + 83u
2
− 6)(u
183
− 59u
181
+ ··· + 49924u + 6638)
c
6
(u + 1)(u
43
− u
42
+ ··· + u + 1)(u
183
− u
182
+ ··· − 26u + 1)
c
7
(u + 1)(u
43
+ 6u
42
+ ··· + 14u − 1)(u
183
− 4u
182
+ ··· − 79u + 1)
c
8
(u + 1)(u
43
− 5u
42
+ ··· + 19u + 1)
· (u
183
+ u
182
+ ··· − 49629456462u + 10428858667)
c
9
u(u
43
− 4u
42
+ ··· − 54u + 6)(u
183
+ 11u
182
+ ··· − 25134u + 3142)
c
10
(u − 1)(u
43
− 11u
42
+ ··· − 2u − 1)(u
183
− 7u
182
+ ··· − 7u − 1)
c
11
u(u
43
− u
42
+ ··· − 83u
2
+ 6)(u
183
− 59u
181
+ ··· + 49924u + 6638)
c
12
(u − 1)(u
43
− 3u
42
+ ··· − 8u − 1)(u
183
+ 17u
182
+ ··· + 3u + 1)
38
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y −1)(y
43
− 11y
42
+ ··· − 11y −1)(y
183
+ 71y
182
+ ··· − 14140y −1)
c
2
, c
6
(y −1)(y
43
− 23y
42
+ ··· + 13y −1)(y
183
− 73y
182
+ ··· + 140y −1)
c
3
(y −1)(y
43
+ 10y
42
+ ··· + 73y −1)
· (y
183
+ 32y
182
+ ··· − 197765172y −43388569)
c
4
(y −1)(y
43
− 31y
42
+ ··· − 23y −1)
· (y
183
− 97y
182
+ ··· + 5.30 × 10
20
y −4.49 × 10
18
)
c
5
, c
11
y(y
43
− 37y
42
+ ··· + 996y −36)
· (y
183
− 118y
182
+ ··· + 4475548104y −44063044)
c
7
(y −1)(y
43
+ 6y
42
+ ··· + 44y −1)(y
183
+ 4y
182
+ ··· + 1331y −1)
c
8
(y −1)(y
43
− 19y
42
+ ··· + 21y −1)
· (y
183
− 73y
182
+ ··· + 3.70 × 10
21
y −1.09 × 10
20
)
c
9
y(y
43
+ 20y
42
+ ··· + 1176y −36)
· (y
183
+ 47y
182
+ ··· + 8565230252y −9872164)
c
10
(y −1)(y
43
− 23y
42
+ ··· − 4y −1)(y
183
− 17y
182
+ ··· + 23y −1)
c
12
(y −1)(y
43
− 31y
42
+ ··· + 30y −1)(y
183
− 49y
182
+ ··· − 71y −1)
39
