12a
0467
(K12a
0467
)
A knot diagram
1
Linearized knot diagam
3 6 11 7 9 2 12 1 5 8 4 10
Solving Sequence
3,6
2 7
1,9
5 10 4 8 11 12
c
2
c
6
c
1
c
5
c
9
c
4
c
8
c
10
c
12
c
3
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h2.43654 × 10
731
u
186
+ 4.54915 × 10
731
u
185
+ ··· + 3.47272 × 10
730
b − 6.08362 × 10
734
,
1.83544 × 10
733
u
186
+ 6.31204 × 10
733
u
185
+ ··· + 1.39951 × 10
733
a + 1.20246 × 10
737
,
u
187
+ 3u
186
+ ··· + 10920u + 5239i
I
u
2
= h−2.84748 × 10
20
u
51
+ 3.83075 × 10
20
u
50
+ ··· + 1.55518 × 10
19
b − 6.54423 × 10
19
,
− 2.20974 × 10
18
u
51
+ 1.43753 × 10
19
u
50
+ ··· + 8.18517 × 10
17
a + 2.27369 × 10
19
, u
52
− 2u
51
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 239 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
= h2.44 × 10
731
u
186
+ 4.55 × 10
731
u
185
+ · · · + 3.47 × 10
730
b − 6.08 ×
10
734
, 1.84 × 10
733
u
186
+ 6.31 × 10
733
u
185
+ · · · + 1.40 × 10
733
a + 1.20 ×
10
737
, u
187
+ 3u
186
+ · · · + 10920u + 5239i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
7
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
9
=
−1.31149u
186
− 4.51019u
185
+ ··· − 19216.4u − 8592.00
−7.01622u
186
− 13.0997u
185
+ ··· − 17093.4u + 17518.3
a
5
=
−4.05296u
186
− 8.70148u
185
+ ··· − 20947.1u + 2815.98
4.55158u
186
+ 18.8011u
185
+ ··· + 87737.8u + 46534.4
a
10
=
3.28956u
186
+ 13.0121u
185
+ ··· + 60174.6u + 31327.3
2.37109u
186
+ 6.69340u
185
+ ··· + 24665.2u + 8314.07
a
4
=
−14.7745u
186
− 38.3820u
185
+ ··· − 120348.u − 25763.8
1.85301u
186
+ 5.37884u
185
+ ··· + 17379.0u + 4939.63
a
8
=
−2.56385u
186
− 12.6576u
185
+ ··· − 66579.2u − 39277.1
−0.572985u
186
+ 1.16346u
185
+ ··· + 15839.8u + 13975.7
a
11
=
24.0575u
186
+ 89.6144u
185
+ ··· + 385976.u + 191331.
−2.77086u
186
− 2.77145u
185
+ ··· + 10609.9u + 20101.8
a
12
=
−9.95948u
186
− 35.4824u
185
+ ··· − 148583.u − 72494.9
−3.26650u
186
− 9.27568u
185
+ ··· − 30007.3u − 9369.12
(ii) Obstruction class = −1
(iii) Cusp Shapes = 37.8564u
186
+ 98.0987u
185
+ ··· + 289617.u + 60810.4
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
187
+ 91u
186
+ ··· − 674755484u − 27447121
c
2
, c
6
u
187
− 3u
186
+ ··· + 10920u − 5239
c
3
, c
11
u
187
+ u
186
+ ··· + 88574u − 18569
c
4
u
187
− 9u
186
+ ··· + 103686897391u − 29441432969
c
5
, c
9
u
187
+ 54u
185
+ ··· − 82696u − 12769
c
7
u
187
− 3u
186
+ ··· + 26048247u − 2479855
c
8
u
187
+ 3u
186
+ ··· − 1136700959u − 173953039
c
10
u
187
+ 13u
186
+ ··· + 29u + 1
c
12
u
187
− 15u
186
+ ··· + 1290u − 59
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
187
+ 31y
186
+ ··· − 59316051338052392y −753344451188641
c
2
, c
6
y
187
+ 91y
186
+ ··· − 674755484y −27447121
c
3
, c
11
y
187
− 115y
186
+ ··· + 15824267086y −344807761
c
4
y
187
+ 33y
186
+ ··· − 1.86 × 10
22
y −8.67 × 10
20
c
5
, c
9
y
187
+ 108y
186
+ ··· − 13757691970y −163047361
c
7
y
187
− 27y
186
+ ··· + 413324628737959y −6149680821025
c
8
y
187
− 19y
186
+ ··· + 1604876724149993791y −30259659777335521
c
10
y
187
− 27y
186
+ ··· − 175y −1
c
12
y
187
− 19y
186
+ ··· − 127730y −3481
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.861550 + 0.516101I
a = 0.142067 + 0.907004I
b = 0.514385 − 0.385927I
6.05061 − 5.19198I 0
u = −0.861550 − 0.516101I
a = 0.142067 − 0.907004I
b = 0.514385 + 0.385927I
6.05061 + 5.19198I 0
u = −0.263377 + 0.950076I
a = −0.035684 − 1.105640I
b = −1.225960 + 0.421383I
−1.97781 + 1.65161I 0
u = −0.263377 − 0.950076I
a = −0.035684 + 1.105640I
b = −1.225960 − 0.421383I
−1.97781 − 1.65161I 0
u = 0.654179 + 0.776722I
a = −1.052210 + 0.586150I
b = −1.57632 − 0.49206I
6.92550 + 3.10741I 0
u = 0.654179 − 0.776722I
a = −1.052210 − 0.586150I
b = −1.57632 + 0.49206I
6.92550 − 3.10741I 0
u = 0.892745 + 0.414357I
a = −0.060656 + 1.389870I
b = −1.131370 + 0.496676I
−0.94879 − 8.91470I 0
u = 0.892745 − 0.414357I
a = −0.060656 − 1.389870I
b = −1.131370 − 0.496676I
−0.94879 + 8.91470I 0
u = 0.365647 + 0.909516I
a = −1.66507 − 0.80121I
b = −0.638824 − 0.950245I
−7.65672 + 1.50546I 0
u = 0.365647 − 0.909516I
a = −1.66507 + 0.80121I
b = −0.638824 + 0.950245I
−7.65672 − 1.50546I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.383049 + 0.902038I
a = −1.23669 + 0.76887I
b = −1.378590 − 0.213823I
−4.64372 + 1.53149I 0
u = −0.383049 − 0.902038I
a = −1.23669 − 0.76887I
b = −1.378590 + 0.213823I
−4.64372 − 1.53149I 0
u = −0.483060 + 0.903201I
a = 0.637196 − 1.075370I
b = −0.610904 + 0.561245I
1.64255 − 2.34304I 0
u = −0.483060 − 0.903201I
a = 0.637196 + 1.075370I
b = −0.610904 − 0.561245I
1.64255 + 2.34304I 0
u = −0.486007 + 0.841078I
a = −0.932998 − 0.244208I
b = −0.219475 + 1.386250I
1.62342 − 2.02585I 0
u = −0.486007 − 0.841078I
a = −0.932998 + 0.244208I
b = −0.219475 − 1.386250I
1.62342 + 2.02585I 0
u = −0.354896 + 0.902637I
a = −1.324830 + 0.476356I
b = −0.854385 − 0.475461I
−4.59487 − 4.59332I 0
u = −0.354896 − 0.902637I
a = −1.324830 − 0.476356I
b = −0.854385 + 0.475461I
−4.59487 + 4.59332I 0
u = −0.601809 + 0.756023I
a = −0.859548 − 0.012076I
b = −0.277283 + 1.178990I
1.53854 − 2.07623I 0
u = −0.601809 − 0.756023I
a = −0.859548 + 0.012076I
b = −0.277283 − 1.178990I
1.53854 + 2.07623I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.322810 + 0.908484I
a = −0.811518 + 0.264768I
b = −2.74076 + 2.32475I
0.77306 + 4.81618I 0
u = −0.322810 − 0.908484I
a = −0.811518 − 0.264768I
b = −2.74076 − 2.32475I
0.77306 − 4.81618I 0
u = 0.807348 + 0.649598I
a = −0.383854 + 0.287226I
b = −0.780787 + 0.251519I
5.07799 − 2.15241I 0
u = 0.807348 − 0.649598I
a = −0.383854 − 0.287226I
b = −0.780787 − 0.251519I
5.07799 + 2.15241I 0
u = −0.706232 + 0.652945I
a = 0.406387 − 1.069150I
b = −0.657696 + 0.934744I
3.97434 + 4.95811I 0
u = −0.706232 − 0.652945I
a = 0.406387 + 1.069150I
b = −0.657696 − 0.934744I
3.97434 − 4.95811I 0
u = 0.410926 + 0.957486I
a = 0.781272 + 0.220605I
b = 2.27546 + 1.18814I
−1.252470 − 0.243551I 0
u = 0.410926 − 0.957486I
a = 0.781272 − 0.220605I
b = 2.27546 − 1.18814I
−1.252470 + 0.243551I 0
u = 0.930335 + 0.226785I
a = 0.213537 − 1.199240I
b = 1.200640 − 0.292343I
−0.72136 − 3.42604I 0
u = 0.930335 − 0.226785I
a = 0.213537 + 1.199240I
b = 1.200640 + 0.292343I
−0.72136 + 3.42604I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.576396 + 0.870873I
a = 0.572472 − 1.262080I
b = 1.46296 + 0.38943I
6.65285 + 1.72461I 0
u = 0.576396 − 0.870873I
a = 0.572472 + 1.262080I
b = 1.46296 − 0.38943I
6.65285 − 1.72461I 0
u = −0.875281 + 0.571181I
a = −0.107698 + 1.261630I
b = 0.873919 + 0.561037I
4.52151 + 3.02518I 0
u = −0.875281 − 0.571181I
a = −0.107698 − 1.261630I
b = 0.873919 − 0.561037I
4.52151 − 3.02518I 0
u = −0.267799 + 1.012970I
a = −0.225743 + 0.035973I
b = 2.06299 − 0.55431I
0.62311 − 7.18275I 0
u = −0.267799 − 1.012970I
a = −0.225743 − 0.035973I
b = 2.06299 + 0.55431I
0.62311 + 7.18275I 0
u = −0.985234 + 0.381373I
a = 0.143208 + 1.318640I
b = 1.135930 + 0.378380I
2.9983 + 14.9860I 0
u = −0.985234 − 0.381373I
a = 0.143208 − 1.318640I
b = 1.135930 − 0.378380I
2.9983 − 14.9860I 0
u = 0.816707 + 0.470853I
a = −1.177800 + 0.279349I
b = −1.43356 − 0.44872I
5.91099 − 8.81465I 0
u = 0.816707 − 0.470853I
a = −1.177800 − 0.279349I
b = −1.43356 + 0.44872I
5.91099 + 8.81465I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.854664 + 0.629543I
a = 0.700535 + 0.075776I
b = 1.198420 + 0.595148I
2.28908 − 0.83488I 0
u = 0.854664 − 0.629543I
a = 0.700535 − 0.075776I
b = 1.198420 − 0.595148I
2.28908 + 0.83488I 0
u = 0.096127 + 0.933400I
a = 0.368117 + 0.578841I
b = −0.103130 − 0.456037I
−2.65764 − 0.84983I 0
u = 0.096127 − 0.933400I
a = 0.368117 − 0.578841I
b = −0.103130 + 0.456037I
−2.65764 + 0.84983I 0
u = −0.463576 + 0.812247I
a = 1.319570 − 0.218322I
b = 2.09543 − 0.77067I
1.96357 − 1.55506I 0
u = −0.463576 − 0.812247I
a = 1.319570 + 0.218322I
b = 2.09543 + 0.77067I
1.96357 + 1.55506I 0
u = 0.039536 + 1.065170I
a = −0.133416 − 0.701835I
b = 1.288480 + 0.394065I
0.35245 − 7.06268I 0
u = 0.039536 − 1.065170I
a = −0.133416 + 0.701835I
b = 1.288480 − 0.394065I
0.35245 + 7.06268I 0
u = 0.351613 + 0.848003I
a = 0.279265 + 0.497591I
b = −1.28421 − 1.39014I
−0.75976 + 3.38136I 0
u = 0.351613 − 0.848003I
a = 0.279265 − 0.497591I
b = −1.28421 + 1.39014I
−0.75976 − 3.38136I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.929495 + 0.564188I
a = 0.630312 − 0.565673I
b = −0.038920 − 0.772054I
0.17337 − 4.54929I 0
u = −0.929495 − 0.564188I
a = 0.630312 + 0.565673I
b = −0.038920 + 0.772054I
0.17337 + 4.54929I 0
u = −0.627922 + 0.656186I
a = 0.655464 − 0.970952I
b = −1.34384 − 0.70163I
−2.21818 + 1.76933I 0
u = −0.627922 − 0.656186I
a = 0.655464 + 0.970952I
b = −1.34384 + 0.70163I
−2.21818 − 1.76933I 0
u = 0.491954 + 0.978355I
a = −0.54888 + 1.50482I
b = −2.05942 + 0.11880I
5.62697 + 2.73035I 0
u = 0.491954 − 0.978355I
a = −0.54888 − 1.50482I
b = −2.05942 − 0.11880I
5.62697 − 2.73035I 0
u = −0.659156 + 0.876889I
a = −0.118801 + 0.487615I
b = 0.810351 + 0.589582I
1.27382 − 2.88649I 0
u = −0.659156 − 0.876889I
a = −0.118801 − 0.487615I
b = 0.810351 − 0.589582I
1.27382 + 2.88649I 0
u = −0.230082 + 1.076090I
a = −1.100730 + 0.577370I
b = −1.14595 + 0.92366I
−1.25591 + 3.54603I 0
u = −0.230082 − 1.076090I
a = −1.100730 − 0.577370I
b = −1.14595 − 0.92366I
−1.25591 − 3.54603I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.413614 + 1.024810I
a = −1.262990 + 0.047223I
b = −1.14448 + 2.01836I
−3.07102 + 1.87073I 0
u = −0.413614 − 1.024810I
a = −1.262990 − 0.047223I
b = −1.14448 − 2.01836I
−3.07102 − 1.87073I 0
u = −0.474148 + 1.009760I
a = 1.28991 − 0.83826I
b = 0.564305 − 0.781989I
−2.72598 − 8.07713I 0
u = −0.474148 − 1.009760I
a = 1.28991 + 0.83826I
b = 0.564305 + 0.781989I
−2.72598 + 8.07713I 0
u = −1.081540 + 0.288311I
a = 0.087591 + 1.031650I
b = 0.427487 + 0.358750I
2.39318 + 5.66478I 0
u = −1.081540 − 0.288311I
a = 0.087591 − 1.031650I
b = 0.427487 − 0.358750I
2.39318 − 5.66478I 0
u = −0.307525 + 1.078380I
a = −0.145145 + 0.595340I
b = 0.678656 − 0.286491I
−1.87969 − 3.25804I 0
u = −0.307525 − 1.078380I
a = −0.145145 − 0.595340I
b = 0.678656 + 0.286491I
−1.87969 + 3.25804I 0
u = 0.828340 + 0.771012I
a = 0.507944 + 0.223714I
b = 0.064107 + 1.405010I
5.50564 − 1.73545I 0
u = 0.828340 − 0.771012I
a = 0.507944 − 0.223714I
b = 0.064107 − 1.405010I
5.50564 + 1.73545I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.490121 + 1.021210I
a = −0.965653 − 0.110062I
b = −2.21396 − 0.95263I
−0.53250 + 6.08416I 0
u = 0.490121 − 1.021210I
a = −0.965653 + 0.110062I
b = −2.21396 + 0.95263I
−0.53250 − 6.08416I 0
u = −0.576974 + 0.977359I
a = 1.037050 − 0.226722I
b = 1.10681 − 2.46184I
−3.19166 − 6.51427I 0
u = −0.576974 − 0.977359I
a = 1.037050 + 0.226722I
b = 1.10681 + 2.46184I
−3.19166 + 6.51427I 0
u = −0.393492 + 1.066080I
a = 0.967804 + 0.396165I
b = 1.38888 − 1.37330I
−2.99818 − 3.64931I 0
u = −0.393492 − 1.066080I
a = 0.967804 − 0.396165I
b = 1.38888 + 1.37330I
−2.99818 + 3.64931I 0
u = 0.710074 + 0.486923I
a = 1.327450 + 0.354349I
b = 0.633943 + 0.648059I
3.62209 + 3.51762I 0
u = 0.710074 − 0.486923I
a = 1.327450 − 0.354349I
b = 0.633943 − 0.648059I
3.62209 − 3.51762I 0
u = 0.283540 + 0.808746I
a = −0.758782 − 1.052090I
b = 0.857999 + 1.000250I
0.91647 − 3.01725I 0
u = 0.283540 − 0.808746I
a = −0.758782 + 1.052090I
b = 0.857999 − 1.000250I
0.91647 + 3.01725I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.393421 + 1.077180I
a = −0.100279 + 0.753743I
b = 0.325966 + 0.389991I
1.12401 − 0.96811I 0
u = −0.393421 − 1.077180I
a = −0.100279 − 0.753743I
b = 0.325966 − 0.389991I
1.12401 + 0.96811I 0
u = 0.337747 + 1.096680I
a = 1.093620 + 0.604897I
b = 1.356040 − 0.078259I
−4.63594 − 2.77782I 0
u = 0.337747 − 1.096680I
a = 1.093620 − 0.604897I
b = 1.356040 + 0.078259I
−4.63594 + 2.77782I 0
u = −1.048740 + 0.469338I
a = −0.022663 − 0.992736I
b = −1.073200 − 0.178154I
0.70996 + 5.03703I 0
u = −1.048740 − 0.469338I
a = −0.022663 + 0.992736I
b = −1.073200 + 0.178154I
0.70996 − 5.03703I 0
u = 0.525444 + 0.668836I
a = 1.31131 − 1.12315I
b = 1.39755 + 0.85221I
6.59064 + 1.37425I 0
u = 0.525444 − 0.668836I
a = 1.31131 + 1.12315I
b = 1.39755 − 0.85221I
6.59064 − 1.37425I 0
u = 0.156263 + 1.153110I
a = −1.164450 − 0.143907I
b = −0.883223 − 0.475989I
−8.36973 + 2.61779I 0
u = 0.156263 − 1.153110I
a = −1.164450 + 0.143907I
b = −0.883223 + 0.475989I
−8.36973 − 2.61779I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.733087 + 0.396038I
a = −0.00288 − 1.79464I
b = −0.924521 − 0.272246I
3.16484 + 5.80153I 0
u = −0.733087 − 0.396038I
a = −0.00288 + 1.79464I
b = −0.924521 + 0.272246I
3.16484 − 5.80153I 0
u = 0.368367 + 1.111890I
a = −0.927694 + 0.135069I
b = −2.08113 − 0.74143I
−0.40866 + 5.66623I 0
u = 0.368367 − 1.111890I
a = −0.927694 − 0.135069I
b = −2.08113 + 0.74143I
−0.40866 − 5.66623I 0
u = −0.609733 + 1.003240I
a = 0.939887 − 0.279303I
b = 2.49468 − 0.87663I
2.87815 − 10.02700I 0
u = −0.609733 − 1.003240I
a = 0.939887 + 0.279303I
b = 2.49468 + 0.87663I
2.87815 + 10.02700I 0
u = −0.633792 + 0.522514I
a = 1.313030 + 0.420722I
b = 1.46277 − 0.55874I
1.67911 + 2.89245I 0
u = −0.633792 − 0.522514I
a = 1.313030 − 0.420722I
b = 1.46277 + 0.55874I
1.67911 − 2.89245I 0
u = −0.520859 + 1.062390I
a = 0.146477 + 0.694148I
b = 1.182130 − 0.337675I
−0.65223 − 3.64853I 0
u = −0.520859 − 1.062390I
a = 0.146477 − 0.694148I
b = 1.182130 + 0.337675I
−0.65223 + 3.64853I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.536551 + 1.056200I
a = 1.200160 + 0.144197I
b = 1.18378 + 1.71852I
−5.86245 + 4.29604I 0
u = 0.536551 − 1.056200I
a = 1.200160 − 0.144197I
b = 1.18378 − 1.71852I
−5.86245 − 4.29604I 0
u = −0.574542 + 1.036570I
a = −0.306217 − 1.084490I
b = −1.45968 + 0.29148I
0.15754 − 7.66408I 0
u = −0.574542 − 1.036570I
a = −0.306217 + 1.084490I
b = −1.45968 − 0.29148I
0.15754 + 7.66408I 0
u = 0.780572 + 0.232223I
a = 0.24793 − 1.46436I
b = 1.089580 − 0.333327I
−0.74558 − 3.59053I 0
u = 0.780572 − 0.232223I
a = 0.24793 + 1.46436I
b = 1.089580 + 0.333327I
−0.74558 + 3.59053I 0
u = 0.307765 + 1.146070I
a = 0.924390 + 0.570392I
b = 0.577550 + 0.250216I
−4.91904 − 0.28254I 0
u = 0.307765 − 1.146070I
a = 0.924390 − 0.570392I
b = 0.577550 − 0.250216I
−4.91904 + 0.28254I 0
u = −0.413106 + 1.130500I
a = −0.719167 + 0.643583I
b = 0.164077 + 0.098940I
−2.75178 − 3.80296I 0
u = −0.413106 − 1.130500I
a = −0.719167 − 0.643583I
b = 0.164077 − 0.098940I
−2.75178 + 3.80296I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.655191 + 1.015080I
a = 0.516981 − 0.432449I
b = 0.619829 + 0.870542I
3.92370 + 7.63537I 0
u = 0.655191 − 1.015080I
a = 0.516981 + 0.432449I
b = 0.619829 − 0.870542I
3.92370 − 7.63537I 0
u = 0.534577 + 1.089840I
a = −1.088380 − 0.160555I
b = −1.93389 − 2.31269I
−3.28618 + 10.02500I 0
u = 0.534577 − 1.089840I
a = −1.088380 + 0.160555I
b = −1.93389 + 2.31269I
−3.28618 − 10.02500I 0
u = 0.605785 + 1.053590I
a = 0.117755 + 0.834581I
b = −0.430403 + 0.293223I
1.95294 + 1.54237I 0
u = 0.605785 − 1.053590I
a = 0.117755 − 0.834581I
b = −0.430403 − 0.293223I
1.95294 − 1.54237I 0
u = −0.332084 + 0.703340I
a = −0.491557 + 0.554489I
b = 0.10753 + 1.56002I
1.83917 − 1.33529I 0
u = −0.332084 − 0.703340I
a = −0.491557 − 0.554489I
b = 0.10753 − 1.56002I
1.83917 + 1.33529I 0
u = 0.754581 + 0.967956I
a = 0.267764 + 0.385394I
b = −0.984390 + 0.845468I
4.89169 + 7.65008I 0
u = 0.754581 − 0.967956I
a = 0.267764 − 0.385394I
b = −0.984390 − 0.845468I
4.89169 − 7.65008I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.664929 + 1.043370I
a = −0.117531 + 0.655172I
b = −1.006860 − 0.499664I
0.97457 + 6.46946I 0
u = 0.664929 − 1.043370I
a = −0.117531 − 0.655172I
b = −1.006860 + 0.499664I
0.97457 − 6.46946I 0
u = −0.742580 + 0.150085I
a = −0.852100 + 0.977461I
b = −1.034530 + 0.775850I
0.359898 − 0.372471I 0
u = −0.742580 − 0.150085I
a = −0.852100 − 0.977461I
b = −1.034530 − 0.775850I
0.359898 + 0.372471I 0
u = −0.577273 + 1.101900I
a = 1.311420 − 0.044952I
b = 1.97578 − 1.57566I
1.08610 − 10.80320I 0
u = −0.577273 − 1.101900I
a = 1.311420 + 0.044952I
b = 1.97578 + 1.57566I
1.08610 + 10.80320I 0
u = 0.516058 + 1.134580I
a = −0.700546 − 0.178020I
b = −1.57462 − 1.53777I
−2.04079 + 6.23971I 0
u = 0.516058 − 1.134580I
a = −0.700546 + 0.178020I
b = −1.57462 + 1.53777I
−2.04079 − 6.23971I 0
u = 0.101078 + 1.245270I
a = −0.996624 − 0.391193I
b = −0.672668 − 0.097315I
−6.82399 − 6.11041I 0
u = 0.101078 − 1.245270I
a = −0.996624 + 0.391193I
b = −0.672668 + 0.097315I
−6.82399 + 6.11041I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.724362 + 0.182409I
a = −0.956784 − 0.982863I
b = −0.774611 + 0.204042I
4.63015 + 2.38018I 0
u = −0.724362 − 0.182409I
a = −0.956784 + 0.982863I
b = −0.774611 − 0.204042I
4.63015 − 2.38018I 0
u = −0.312378 + 0.673623I
a = 1.93875 − 0.99362I
b = 0.759609 − 0.734492I
−1.42463 + 4.48373I 0
u = −0.312378 − 0.673623I
a = 1.93875 + 0.99362I
b = 0.759609 + 0.734492I
−1.42463 − 4.48373I 0
u = 0.499027 + 1.154890I
a = −1.039790 + 0.128578I
b = −1.68401 − 1.68704I
−3.59971 + 8.37704I 0
u = 0.499027 − 1.154890I
a = −1.039790 − 0.128578I
b = −1.68401 + 1.68704I
−3.59971 − 8.37704I 0
u = −0.678195 + 1.060990I
a = −1.190510 + 0.118281I
b = −1.40244 + 1.59678I
3.01436 − 8.75585I 0
u = −0.678195 − 1.060990I
a = −1.190510 − 0.118281I
b = −1.40244 − 1.59678I
3.01436 + 8.75585I 0
u = 0.965652 + 0.813992I
a = −0.700376 − 0.269160I
b = −0.634765 − 0.881911I
5.73783 + 9.42214I 0
u = 0.965652 − 0.813992I
a = −0.700376 + 0.269160I
b = −0.634765 + 0.881911I
5.73783 − 9.42214I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.657886 + 0.329807I
a = 0.39192 + 1.56313I
b = −0.614276 + 0.739195I
−3.85303 + 0.26850I 0
u = 0.657886 − 0.329807I
a = 0.39192 − 1.56313I
b = −0.614276 − 0.739195I
−3.85303 − 0.26850I 0
u = 0.629564 + 1.096550I
a = 0.336105 − 0.953209I
b = 1.42775 + 0.27637I
4.0293 + 14.2262I 0
u = 0.629564 − 1.096550I
a = 0.336105 + 0.953209I
b = 1.42775 − 0.27637I
4.0293 − 14.2262I 0
u = 0.299959 + 1.228730I
a = 0.899836 + 0.086068I
b = 1.139770 − 0.173143I
−3.30153 + 2.08347I 0
u = 0.299959 − 1.228730I
a = 0.899836 − 0.086068I
b = 1.139770 + 0.173143I
−3.30153 − 2.08347I 0
u = −0.711973 + 1.072000I
a = −0.784831 + 0.130375I
b = −1.49807 + 0.74067I
4.40131 − 0.61049I 0
u = −0.711973 − 1.072000I
a = −0.784831 − 0.130375I
b = −1.49807 − 0.74067I
4.40131 + 0.61049I 0
u = −0.556905 + 0.444112I
a = −0.959808 − 0.052686I
b = −0.797610 + 0.758882I
1.177280 − 0.714210I 0
u = −0.556905 − 0.444112I
a = −0.959808 + 0.052686I
b = −0.797610 − 0.758882I
1.177280 + 0.714210I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.610244 + 1.140650I
a = 0.563710 − 0.316133I
b = 0.565158 − 1.292530I
−1.86550 − 1.29308I 0
u = −0.610244 − 1.140650I
a = 0.563710 + 0.316133I
b = 0.565158 + 1.292530I
−1.86550 + 1.29308I 0
u = −0.499902 + 1.200200I
a = 0.712699 + 0.259713I
b = 1.73945 − 0.60492I
1.64048 − 7.04317I 0
u = −0.499902 − 1.200200I
a = 0.712699 − 0.259713I
b = 1.73945 + 0.60492I
1.64048 + 7.04317I 0
u = 0.947791 + 0.895230I
a = −0.194596 − 0.483891I
b = 0.307884 − 0.239880I
5.48854 − 2.63483I 0
u = 0.947791 − 0.895230I
a = −0.194596 + 0.483891I
b = 0.307884 + 0.239880I
5.48854 + 2.63483I 0
u = 0.581816 + 1.170380I
a = −1.004040 − 0.021511I
b = −1.71321 − 1.78870I
−3.53403 + 8.74159I 0
u = 0.581816 − 1.170380I
a = −1.004040 + 0.021511I
b = −1.71321 + 1.78870I
−3.53403 − 8.74159I 0
u = 0.639629 + 1.144080I
a = 1.138420 + 0.035144I
b = 1.64828 + 1.75166I
−3.1624 + 14.5549I 0
u = 0.639629 − 1.144080I
a = 1.138420 − 0.035144I
b = 1.64828 − 1.75166I
−3.1624 − 14.5549I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.524603 + 0.438211I
a = −0.257299 − 1.325500I
b = 0.626658 + 0.690600I
1.16110 − 1.96967I 0
u = 0.524603 − 0.438211I
a = −0.257299 + 1.325500I
b = 0.626658 − 0.690600I
1.16110 + 1.96967I 0
u = −0.674858
a = −0.567143
b = −0.737266
1.49128 0
u = 0.558717 + 0.339534I
a = −0.63735 − 1.81682I
b = 1.358860 − 0.026793I
−1.18666 − 5.53936I 0
u = 0.558717 − 0.339534I
a = −0.63735 + 1.81682I
b = 1.358860 + 0.026793I
−1.18666 + 5.53936I 0
u = −0.659130 + 1.188930I
a = −1.098130 + 0.046189I
b = −1.78395 + 1.68386I
0.5164 − 20.9394I 0
u = −0.659130 − 1.188930I
a = −1.098130 − 0.046189I
b = −1.78395 − 1.68386I
0.5164 + 20.9394I 0
u = 0.213648 + 1.345710I
a = 0.807404 + 0.324928I
b = 0.801005 − 0.264519I
−6.13848 + 0.51762I 0
u = 0.213648 − 1.345710I
a = 0.807404 − 0.324928I
b = 0.801005 + 0.264519I
−6.13848 − 0.51762I 0
u = −0.714766 + 1.179180I
a = 0.911915 − 0.093612I
b = 1.55484 − 1.62465I
−1.50682 − 11.37510I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.714766 − 1.179180I
a = 0.911915 + 0.093612I
b = 1.55484 + 1.62465I
−1.50682 + 11.37510I 0
u = −0.660434 + 1.224860I
a = −0.952845 + 0.173562I
b = −1.33681 + 1.16170I
−0.46271 − 11.80670I 0
u = −0.660434 − 1.224860I
a = −0.952845 − 0.173562I
b = −1.33681 − 1.16170I
−0.46271 + 11.80670I 0
u = −0.124340 + 1.387330I
a = 0.837052 − 0.402601I
b = 0.727661 + 0.037929I
−3.32713 + 11.30480I 0
u = −0.124340 − 1.387330I
a = 0.837052 + 0.402601I
b = 0.727661 − 0.037929I
−3.32713 − 11.30480I 0
u = 0.542595 + 0.169920I
a = −0.360565 − 0.974131I
b = 0.557584 + 0.419399I
0.61442 − 1.79575I 4.00000 + 4.02030I
u = 0.542595 − 0.169920I
a = −0.360565 + 0.974131I
b = 0.557584 − 0.419399I
0.61442 + 1.79575I 4.00000 − 4.02030I
u = 0.84391 + 1.16134I
a = 0.816111 + 0.464208I
b = 0.635339 + 1.035740I
−4.23390 + 3.71980I 0
u = 0.84391 − 1.16134I
a = 0.816111 − 0.464208I
b = 0.635339 − 1.035740I
−4.23390 − 3.71980I 0
u = 0.562859 + 0.011582I
a = −0.390904 + 1.113840I
b = 0.325831 − 0.403118I
0.61893 + 1.81384I 4.00000 − 3.86603I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.562859 − 0.011582I
a = −0.390904 − 1.113840I
b = 0.325831 + 0.403118I
0.61893 − 1.81384I 4.00000 + 3.86603I
u = −0.11419 + 1.52886I
a = −0.592759 + 0.209336I
b = −0.866644 − 0.316832I
−6.58013 + 1.05799I 0
u = −0.11419 − 1.52886I
a = −0.592759 − 0.209336I
b = −0.866644 + 0.316832I
−6.58013 − 1.05799I 0
u = −0.265826 + 0.317465I
a = −2.20859 + 1.94950I
b = 0.91040 + 1.09529I
−1.10062 − 5.11274I 3.78440 + 6.51067I
u = −0.265826 − 0.317465I
a = −2.20859 − 1.94950I
b = 0.91040 − 1.09529I
−1.10062 + 5.11274I 3.78440 − 6.51067I
u = −0.11490 + 1.65623I
a = 0.590546 − 0.106874I
b = 0.729457 − 0.209322I
−4.56523 + 0.42659I 0
u = −0.11490 − 1.65623I
a = 0.590546 + 0.106874I
b = 0.729457 + 0.209322I
−4.56523 − 0.42659I 0
23
II.
I
u
2
= h−2.85×10
20
u
51
+3.83×10
20
u
50
+· · ·+1.56×10
19
b−6.54×10
19
, −2.21×
10
18
u
51
+1.44×10
19
u
50
+· · ·+8.19×10
17
a+2.27×10
19
, u
52
−2u
51
+· · ·+2u+1i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
7
=
u
u
3
+ u
a
1
=
u
2
+ 1
u
2
a
9
=
2.69968u
51
− 17.5626u
50
+ ··· − 57.0901u − 27.7782
18.3096u
51
− 24.6322u
50
+ ··· + 58.0179u + 4.20802
a
5
=
5.93550u
51
+ 8.63101u
50
+ ··· + 32.7409u + 19.5907
32.8839u
51
− 38.7007u
50
+ ··· + 26.7779u + 1.33941
a
10
=
−9.05380u
51
+ 16.9004u
50
+ ··· + 43.7244u + 14.1889
3.24091u
51
+ 7.20254u
50
+ ··· + 106.278u + 38.9183
a
4
=
−14.8065u
51
+ 31.8653u
50
+ ··· − 37.9995u − 1.50065
20.5958u
51
− 24.7159u
50
+ ··· + 13.2788u − 1.50224
a
8
=
7.38976u
51
− 35.2434u
50
+ ··· − 64.4987u − 42.2105
10.4637u
51
− 11.7309u
50
+ ··· + 56.5020u + 9.71805
a
11
=
−28.2638u
51
+ 69.1607u
50
+ ··· + 76.4435u + 52.4748
−6.21746u
51
+ 24.5660u
50
+ ··· + 10.6272u + 12.4315
a
12
=
−51.0446u
51
+ 93.3228u
50
+ ··· + 16.7725u + 38.7921
−29.0950u
51
+ 63.6692u
50
+ ··· − 0.580714u + 15.5667
(ii) Obstruction class = 1
(iii) Cusp Shapes =
680778166325939997939
15551824041078373381
u
51
−
1253143980495068819474
15551824041078373381
u
50
+ ··· +
400710794572098027200
15551824041078373381
u +
213681854138388026690
15551824041078373381
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
52
− 32u
51
+ ··· − 36u + 1
c
2
u
52
− 2u
51
+ ··· + 2u + 1
c
3
u
52
+ 2u
51
+ ··· + 2u + 1
c
4
u
52
− 2u
51
+ ··· + 705u + 41
c
5
u
52
− u
51
+ ··· + 2u + 1
c
6
u
52
+ 2u
51
+ ··· − 2u + 1
c
7
u
52
− 2u
51
+ ··· − 11u + 1
c
8
u
52
+ 2u
51
+ ··· + 41u + 31
c
9
u
52
+ u
51
+ ··· − 2u + 1
c
10
u
52
− 6u
51
+ ··· + 3u + 1
c
11
u
52
− 2u
51
+ ··· − 2u + 1
c
12
u
52
+ 6u
51
+ ··· − 10u + 1
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
52
− 4y
51
+ ··· − 28y + 1
c
2
, c
6
y
52
+ 32y
51
+ ··· + 36y + 1
c
3
, c
11
y
52
− 30y
51
+ ··· − 30y + 1
c
4
y
52
− 6y
51
+ ··· − 143769y + 1681
c
5
, c
9
y
52
+ 33y
51
+ ··· + 30y + 1
c
7
y
52
+ 10y
51
+ ··· − 47y + 1
c
8
y
52
+ 2y
51
+ ··· + 8549y + 961
c
10
y
52
− 26y
51
+ ··· + 23y + 1
c
12
y
52
− 26y
51
+ ··· − 26y + 1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.250486 + 0.949427I
a = −1.36699 + 0.42938I
b = 0.219227 + 0.357400I
−2.57509 − 6.04416I 1.30602 + 7.87266I
u = −0.250486 − 0.949427I
a = −1.36699 − 0.42938I
b = 0.219227 − 0.357400I
−2.57509 + 6.04416I 1.30602 − 7.87266I
u = −0.278002 + 0.937785I
a = −1.45436 + 0.52156I
b = −1.52316 + 1.16059I
−2.58333 + 3.87025I −0.81122 − 4.21736I
u = −0.278002 − 0.937785I
a = −1.45436 − 0.52156I
b = −1.52316 − 1.16059I
−2.58333 − 3.87025I −0.81122 + 4.21736I
u = 0.317235 + 0.911455I
a = 1.68901 + 0.66613I
b = 0.672334 + 0.975496I
−7.77955 + 1.33038I −8.6794 + 13.4763I
u = 0.317235 − 0.911455I
a = 1.68901 − 0.66613I
b = 0.672334 − 0.975496I
−7.77955 − 1.33038I −8.6794 − 13.4763I
u = 0.277119 + 1.002760I
a = 1.183370 + 0.558054I
b = 1.49130 − 0.50860I
−5.41690 − 1.98693I −5.10705 + 0.I
u = 0.277119 − 1.002760I
a = 1.183370 − 0.558054I
b = 1.49130 + 0.50860I
−5.41690 + 1.98693I −5.10705 + 0.I
u = 0.891877 + 0.341999I
a = 0.011285 − 1.201670I
b = 1.273460 − 0.206752I
−0.38793 − 3.84339I 6.72573 + 8.71176I
u = 0.891877 − 0.341999I
a = 0.011285 + 1.201670I
b = 1.273460 + 0.206752I
−0.38793 + 3.84339I 6.72573 − 8.71176I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.612014 + 0.721237I
a = −0.537248 + 0.005234I
b = 0.0789334 + 0.0037222I
0.76556 − 3.69707I 3.03329 + 6.59989I
u = −0.612014 − 0.721237I
a = −0.537248 − 0.005234I
b = 0.0789334 − 0.0037222I
0.76556 + 3.69707I 3.03329 − 6.59989I
u = −0.830014 + 0.440057I
a = 0.106917 − 1.290050I
b = −0.594139 − 0.068354I
2.42247 + 4.60215I 6.43818 − 3.38001I
u = −0.830014 − 0.440057I
a = 0.106917 + 1.290050I
b = −0.594139 + 0.068354I
2.42247 − 4.60215I 6.43818 + 3.38001I
u = 0.202085 + 0.904298I
a = 1.41744 + 0.20765I
b = 0.864161 − 0.908862I
−4.92268 + 3.93893I −3.03661 − 0.21533I
u = 0.202085 − 0.904298I
a = 1.41744 − 0.20765I
b = 0.864161 + 0.908862I
−4.92268 − 3.93893I −3.03661 + 0.21533I
u = −0.390335 + 1.003400I
a = 0.604431 + 0.080849I
b = 1.81714 − 1.57199I
−1.17392 − 4.19886I 0. + 5.44789I
u = −0.390335 − 1.003400I
a = 0.604431 − 0.080849I
b = 1.81714 + 1.57199I
−1.17392 + 4.19886I 0. − 5.44789I
u = 0.484988 + 0.976121I
a = −0.57124 + 1.52800I
b = −2.03302 + 0.02167I
5.48506 + 2.75011I −20.6637 − 9.6457I
u = 0.484988 − 0.976121I
a = −0.57124 − 1.52800I
b = −2.03302 − 0.02167I
5.48506 − 2.75011I −20.6637 + 9.6457I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.507171 + 0.995418I
a = 0.033142 + 0.593501I
b = 0.160606 − 0.025108I
−0.231259 − 0.719629I 0
u = −0.507171 − 0.995418I
a = 0.033142 − 0.593501I
b = 0.160606 + 0.025108I
−0.231259 + 0.719629I 0
u = −0.506833 + 1.004930I
a = −0.026556 + 0.643657I
b = 1.278510 − 0.567185I
−0.18636 − 4.86041I 0
u = −0.506833 − 1.004930I
a = −0.026556 − 0.643657I
b = 1.278510 + 0.567185I
−0.18636 + 4.86041I 0
u = −0.651674 + 0.556635I
a = −0.842848 + 0.247115I
b = −1.21233 + 0.97477I
1.130090 + 0.430110I 4.73040 − 1.41767I
u = −0.651674 − 0.556635I
a = −0.842848 − 0.247115I
b = −1.21233 − 0.97477I
1.130090 − 0.430110I 4.73040 + 1.41767I
u = 0.470545 + 0.711650I
a = 1.20909 − 1.34284I
b = 1.54637 + 0.72040I
6.38640 + 1.19536I 0.39708 + 11.99950I
u = 0.470545 − 0.711650I
a = 1.20909 + 1.34284I
b = 1.54637 − 0.72040I
6.38640 − 1.19536I 0.39708 − 11.99950I
u = 0.320575 + 1.102630I
a = −0.744140 + 0.012528I
b = −2.84984 − 0.89455I
−0.08595 + 7.86478I 0
u = 0.320575 − 1.102630I
a = −0.744140 − 0.012528I
b = −2.84984 + 0.89455I
−0.08595 − 7.86478I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.384246 + 0.759259I
a = 0.233194 − 0.557693I
b = −1.71637 + 0.53582I
−0.311224 + 0.937022I 5.45842 − 0.13963I
u = −0.384246 − 0.759259I
a = 0.233194 + 0.557693I
b = −1.71637 − 0.53582I
−0.311224 − 0.937022I 5.45842 + 0.13963I
u = 0.782619 + 0.917623I
a = 0.381236 + 0.304125I
b = −0.848448 + 0.455971I
4.67720 + 8.08174I 0
u = 0.782619 − 0.917623I
a = 0.381236 − 0.304125I
b = −0.848448 − 0.455971I
4.67720 − 8.08174I 0
u = 0.247703 + 0.744914I
a = −0.692517 − 0.615693I
b = 2.20569 + 1.77958I
1.33470 − 5.43908I 8.83682 + 7.41778I
u = 0.247703 − 0.744914I
a = −0.692517 + 0.615693I
b = 2.20569 − 1.77958I
1.33470 + 5.43908I 8.83682 − 7.41778I
u = 0.894249 + 0.824587I
a = 0.433860 + 0.340364I
b = 0.242613 + 1.116700I
4.98332 − 1.90943I 0
u = 0.894249 − 0.824587I
a = 0.433860 − 0.340364I
b = 0.242613 − 1.116700I
4.98332 + 1.90943I 0
u = −0.623462 + 1.099800I
a = 1.118920 − 0.170146I
b = 1.71106 − 1.42993I
0.46170 − 10.03240I 0
u = −0.623462 − 1.099800I
a = 1.118920 + 0.170146I
b = 1.71106 + 1.42993I
0.46170 + 10.03240I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.578420 + 1.137480I
a = −1.004590 − 0.078444I
b = −1.78346 − 2.02412I
−2.82607 + 9.14984I 0
u = 0.578420 − 1.137480I
a = −1.004590 + 0.078444I
b = −1.78346 + 2.02412I
−2.82607 − 9.14984I 0
u = 0.81961 + 1.16429I
a = −0.836716 − 0.445472I
b = −0.667224 − 1.039000I
−4.24236 + 3.67561I 0
u = 0.81961 − 1.16429I
a = −0.836716 + 0.445472I
b = −0.667224 + 1.039000I
−4.24236 − 3.67561I 0
u = 0.07952 + 1.46668I
a = 0.661679 + 0.149685I
b = 0.875286 − 0.469797I
−6.86157 − 0.66603I 0
u = 0.07952 − 1.46668I
a = 0.661679 − 0.149685I
b = 0.875286 + 0.469797I
−6.86157 + 0.66603I 0
u = −0.216989 + 0.401833I
a = −2.24163 − 0.09784I
b = 0.852602 + 0.545250I
1.59764 − 4.02437I 8.07074 + 7.27073I
u = −0.216989 − 0.401833I
a = −2.24163 + 0.09784I
b = 0.852602 − 0.545250I
1.59764 + 4.02437I 8.07074 − 7.27073I
u = −0.047469 + 0.427675I
a = −2.16989 − 0.89812I
b = −0.81099 + 1.39040I
1.68295 + 0.03164I 6.95472 + 0.09318I
u = −0.047469 − 0.427675I
a = −2.16989 + 0.89812I
b = −0.81099 − 1.39040I
1.68295 − 0.03164I 6.95472 − 0.09318I
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.06786 + 1.63655I
a = −0.594851 + 0.117535I
b = −0.750309 + 0.061726I
−4.50239 + 0.61243I 0
u = −0.06786 − 1.63655I
a = −0.594851 − 0.117535I
b = −0.750309 − 0.061726I
−4.50239 − 0.61243I 0
34
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
52
− 32u
51
+ ··· − 36u + 1)
· (u
187
+ 91u
186
+ ··· − 674755484u − 27447121)
c
2
(u
52
− 2u
51
+ ··· + 2u + 1)(u
187
− 3u
186
+ ··· + 10920u − 5239)
c
3
(u
52
+ 2u
51
+ ··· + 2u + 1)(u
187
+ u
186
+ ··· + 88574u − 18569)
c
4
(u
52
− 2u
51
+ ··· + 705u + 41)
· (u
187
− 9u
186
+ ··· + 103686897391u − 29441432969)
c
5
(u
52
− u
51
+ ··· + 2u + 1)(u
187
+ 54u
185
+ ··· − 82696u − 12769)
c
6
(u
52
+ 2u
51
+ ··· − 2u + 1)(u
187
− 3u
186
+ ··· + 10920u − 5239)
c
7
(u
52
− 2u
51
+ ··· − 11u + 1)
· (u
187
− 3u
186
+ ··· + 26048247u − 2479855)
c
8
(u
52
+ 2u
51
+ ··· + 41u + 31)
· (u
187
+ 3u
186
+ ··· − 1136700959u − 173953039)
c
9
(u
52
+ u
51
+ ··· − 2u + 1)(u
187
+ 54u
185
+ ··· − 82696u − 12769)
c
10
(u
52
− 6u
51
+ ··· + 3u + 1)(u
187
+ 13u
186
+ ··· + 29u + 1)
c
11
(u
52
− 2u
51
+ ··· − 2u + 1)(u
187
+ u
186
+ ··· + 88574u − 18569)
c
12
(u
52
+ 6u
51
+ ··· − 10u + 1)(u
187
− 15u
186
+ ··· + 1290u − 59)
35
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
52
− 4y
51
+ ··· − 28y + 1)
· (y
187
+ 31y
186
+ ··· − 59316051338052392y −753344451188641)
c
2
, c
6
(y
52
+ 32y
51
+ ··· + 36y + 1)
· (y
187
+ 91y
186
+ ··· − 674755484y −27447121)
c
3
, c
11
(y
52
− 30y
51
+ ··· − 30y + 1)
· (y
187
− 115y
186
+ ··· + 15824267086y −344807761)
c
4
(y
52
− 6y
51
+ ··· − 143769y + 1681)
· (y
187
+ 33y
186
+ ··· − 1.86 × 10
22
y −8.67 × 10
20
)
c
5
, c
9
(y
52
+ 33y
51
+ ··· + 30y + 1)
· (y
187
+ 108y
186
+ ··· − 13757691970y −163047361)
c
7
(y
52
+ 10y
51
+ ··· − 47y + 1)
· (y
187
− 27y
186
+ ··· + 413324628737959y −6149680821025)
c
8
(y
52
+ 2y
51
+ ··· + 8549y + 961)
· (y
187
− 19y
186
+ ··· + 1604876724149993791y −30259659777335521)
c
10
(y
52
− 26y
51
+ ··· + 23y + 1)(y
187
− 27y
186
+ ··· − 175y −1)
c
12
(y
52
− 26y
51
+ ··· − 26y + 1)(y
187
− 19y
186
+ ··· − 127730y −3481)
36
