12a
0887
(K12a
0887
)
A knot diagram
1
Linearized knot diagam
4 6 7 12 9 10 1 11 2 3 5 8
Solving Sequence
8,12 1,5
4 2 7 3 11 9 6 10
c
12
c
4
c
1
c
7
c
3
c
11
c
8
c
5
c
10
c
2
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−7.22780 × 10
1306
u
189
+ 2.45986 × 10
1306
u
188
+ ··· + 1.66697 × 10
1306
b − 2.31380 × 10
1310
,
6.30404 × 10
1315
u
189
+ 1.68808 × 10
1315
u
188
+ ··· + 5.96446 × 10
1314
a − 5.48078 × 10
1319
,
u
190
+ 67u
188
+ ··· − 138006u − 17447i
I
u
2
= h9.76518 × 10
48
u
45
+ 1.28953 × 10
49
u
44
+ ··· + 7.60878 × 10
48
b − 1.58720 × 10
49
,
4.78561 × 10
49
u
45
+ 3.77004 × 10
49
u
44
+ ··· + 1.52176 × 10
49
a − 4.81006 × 10
49
, u
46
+ u
45
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 236 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
= h−7.23 × 10
1306
u
189
+ 2.46 × 10
1306
u
188
+ · · · + 1.67 × 10
1306
b −
2.31 × 10
1310
, 6.30 × 10
1315
u
189
+ 1.69 × 10
1315
u
188
+ · · · + 5.96 × 10
1314
a −
5.48 × 10
1319
, u
190
+ 67u
188
+ · · · − 138006u − 17447i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
−u
2
a
5
=
−10.5693u
189
− 2.83023u
188
+ ··· + 945060.u + 91890.7
4.33589u
189
− 1.47565u
188
+ ··· + 15990.1u + 13880.3
a
4
=
−6.23344u
189
− 4.30588u
188
+ ··· + 961050.u + 105771.
4.33589u
189
− 1.47565u
188
+ ··· + 15990.1u + 13880.3
a
2
=
10.7355u
189
+ 14.2863u
188
+ ··· − 2.78517 × 10
6
u − 323181.
−4.61634u
189
− 0.542985u
188
+ ··· + 199375.u + 10795.3
a
7
=
−u
u
3
+ u
a
3
=
−8.78606u
189
− 1.37271u
188
+ ··· + 631875.u + 56427.2
5.22398u
189
− 1.52033u
188
+ ··· − 15094.2u + 12049.1
a
11
=
−5.04397u
189
− 0.399550u
188
+ ··· + 172980.u + 5773.97
1.95804u
189
− 1.48337u
188
+ ··· + 114320.u + 22056.1
a
9
=
23.6821u
189
− 2.17840u
188
+ ··· − 309586.u + 26789.7
−2.09425u
189
+ 0.305661u
188
+ ··· − 172398.u − 26443.0
a
6
=
15.2253u
189
+ 0.780421u
188
+ ··· − 624926.u − 33479.8
−0.887353u
189
+ 6.08852u
188
+ ··· − 1.08620 × 10
6
u − 143525.
a
10
=
−5.78169u
189
− 5.37501u
188
+ ··· + 1.18082 × 10
6
u + 131470.
4.03607u
189
− 1.68248u
188
+ ··· + 92118.3u + 24863.1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4.73829u
189
− 0.820069u
188
+ ··· + 142554.u + 11834.1
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
190
+ 5u
189
+ ··· + 6665u + 199
c
2
u
190
− 9u
189
+ ··· − 4u + 1
c
3
u
190
− 2u
189
+ ··· + 670900166u − 53862673
c
4
, c
11
u
190
+ 67u
188
+ ··· + 138006u − 17447
c
5
u
190
+ 2u
189
+ ··· − 670900166u − 53862673
c
6
u
190
+ 9u
189
+ ··· + 4u + 1
c
7
, c
12
u
190
+ 67u
188
+ ··· − 138006u − 17447
c
8
u
190
− 5u
189
+ ··· − 6665u + 199
c
9
u
190
− u
189
+ ··· + 29u − 1
c
10
u
190
+ u
189
+ ··· − 29u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
8
y
190
− 19y
189
+ ··· + 1497025y + 39601
c
2
, c
6
y
190
− 23y
189
+ ··· − 252y + 1
c
3
, c
5
y
190
− 88y
189
+ ··· − 175498183281035406y + 2901187542704929
c
4
, c
7
, c
11
c
12
y
190
+ 134y
189
+ ··· + 46421594y + 304397809
c
9
, c
10
y
190
+ 23y
189
+ ··· − 149y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.864219 + 0.506539I
a = 0.21689 + 2.29034I
b = −0.186777 − 1.246840I
3.78459 − 4.20222I 0
u = −0.864219 − 0.506539I
a = 0.21689 − 2.29034I
b = −0.186777 + 1.246840I
3.78459 + 4.20222I 0
u = −0.638373 + 0.767389I
a = 0.60552 − 2.35236I
b = 0.080709 + 1.272450I
5.21796 − 2.67365I 0
u = −0.638373 − 0.767389I
a = 0.60552 + 2.35236I
b = 0.080709 − 1.272450I
5.21796 + 2.67365I 0
u = 0.031691 + 0.990579I
a = −1.37887 + 0.60361I
b = −0.698418 − 1.148540I
−1.80089 − 1.83392I 0
u = 0.031691 − 0.990579I
a = −1.37887 − 0.60361I
b = −0.698418 + 1.148540I
−1.80089 + 1.83392I 0
u = −0.340233 + 0.924142I
a = −1.17546 + 1.01173I
b = −0.84402 − 1.34401I
2.65028 − 5.98733I 0
u = −0.340233 − 0.924142I
a = −1.17546 − 1.01173I
b = −0.84402 + 1.34401I
2.65028 + 5.98733I 0
u = −0.098449 + 0.972581I
a = −0.58409 + 1.58122I
b = −0.16055 − 1.59671I
2.01485 − 3.55741I 0
u = −0.098449 − 0.972581I
a = −0.58409 − 1.58122I
b = −0.16055 + 1.59671I
2.01485 + 3.55741I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.119296 + 0.965852I
a = 0.017329 − 0.417748I
b = 0.71740 + 2.20998I
0.94548 + 7.07618I 0
u = 0.119296 − 0.965852I
a = 0.017329 + 0.417748I
b = 0.71740 − 2.20998I
0.94548 − 7.07618I 0
u = 0.613232 + 0.823675I
a = 0.599902 + 1.103490I
b = 0.354486 − 1.137680I
0.64534 + 2.48885I 0
u = 0.613232 − 0.823675I
a = 0.599902 − 1.103490I
b = 0.354486 + 1.137680I
0.64534 − 2.48885I 0
u = 0.565862 + 0.787510I
a = 0.838198 + 0.988520I
b = 0.612638 − 1.195610I
0.82965 + 2.65878I 0
u = 0.565862 − 0.787510I
a = 0.838198 − 0.988520I
b = 0.612638 + 1.195610I
0.82965 − 2.65878I 0
u = −0.102463 + 0.962021I
a = −1.50913 − 0.91650I
b = −0.282652 + 0.856538I
−3.02895 − 2.54150I 0
u = −0.102463 − 0.962021I
a = −1.50913 + 0.91650I
b = −0.282652 − 0.856538I
−3.02895 + 2.54150I 0
u = 0.048183 + 1.034830I
a = 0.128851 + 0.373299I
b = 0.826802 − 0.254280I
−1.68569 + 1.98753I 0
u = 0.048183 − 1.034830I
a = 0.128851 − 0.373299I
b = 0.826802 + 0.254280I
−1.68569 − 1.98753I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.143691 + 0.946403I
a = −0.858770 + 0.173939I
b = −0.96058 − 1.31302I
2.04273 − 1.92425I 0
u = −0.143691 − 0.946403I
a = −0.858770 − 0.173939I
b = −0.96058 + 1.31302I
2.04273 + 1.92425I 0
u = −0.552887 + 0.776994I
a = −1.21485 + 1.44966I
b = −0.552887 − 0.776994I
− 5.13061I 0
u = −0.552887 − 0.776994I
a = −1.21485 − 1.44966I
b = −0.552887 + 0.776994I
5.13061I 0
u = 0.671960 + 0.807813I
a = 0.339432 + 0.012190I
b = −0.189179 − 0.240700I
0.60621 + 2.56467I 0
u = 0.671960 − 0.807813I
a = 0.339432 − 0.012190I
b = −0.189179 + 0.240700I
0.60621 − 2.56467I 0
u = −0.155008 + 1.051230I
a = 0.50273 − 1.94901I
b = 0.204387 + 1.100630I
−2.86286 − 4.82970I 0
u = −0.155008 − 1.051230I
a = 0.50273 + 1.94901I
b = 0.204387 − 1.100630I
−2.86286 + 4.82970I 0
u = 0.906525 + 0.226741I
a = 0.28195 + 1.46628I
b = −0.252765 − 1.375860I
7.99660 + 1.83983I 0
u = 0.906525 − 0.226741I
a = 0.28195 − 1.46628I
b = −0.252765 + 1.375860I
7.99660 − 1.83983I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.384605 + 1.005630I
a = 0.530220 + 0.793332I
b = 0.838496 − 0.137029I
−0.91300 + 3.25049I 0
u = 0.384605 − 1.005630I
a = 0.530220 − 0.793332I
b = 0.838496 + 0.137029I
−0.91300 − 3.25049I 0
u = 0.081765 + 1.085650I
a = 2.30031 + 1.57765I
b = 0.358880 − 1.125930I
−1.03850 + 9.71041I 0
u = 0.081765 − 1.085650I
a = 2.30031 − 1.57765I
b = 0.358880 + 1.125930I
−1.03850 − 9.71041I 0
u = 0.994147 + 0.447540I
a = −0.477464 − 1.163730I
b = 0.390802 + 1.300370I
6.58758 − 7.24408I 0
u = 0.994147 − 0.447540I
a = −0.477464 + 1.163730I
b = 0.390802 − 1.300370I
6.58758 + 7.24408I 0
u = −0.282652 + 0.856538I
a = 1.89217 − 0.34272I
b = −0.102463 + 0.962021I
3.02895 + 2.54150I 0
u = −0.282652 − 0.856538I
a = 1.89217 + 0.34272I
b = −0.102463 − 0.962021I
3.02895 − 2.54150I 0
u = −0.013025 + 0.889984I
a = 0.58377 − 2.54777I
b = 0.165168 + 1.387130I
4.14677 − 4.21274I 0
u = −0.013025 − 0.889984I
a = 0.58377 + 2.54777I
b = 0.165168 − 1.387130I
4.14677 + 4.21274I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.028930 + 0.419517I
a = 0.71297 − 1.37414I
b = −0.178544 + 1.263810I
5.05665 + 1.27721I 0
u = −1.028930 − 0.419517I
a = 0.71297 + 1.37414I
b = −0.178544 − 1.263810I
5.05665 − 1.27721I 0
u = −0.835416 + 0.282230I
a = −0.09605 − 1.80726I
b = 0.342270 + 1.368570I
4.52184 − 6.28312I 0
u = −0.835416 − 0.282230I
a = −0.09605 + 1.80726I
b = 0.342270 − 1.368570I
4.52184 + 6.28312I 0
u = 0.204387 + 1.100630I
a = −0.895943 + 0.544333I
b = −0.155008 + 1.051230I
2.86286 + 4.82970I 0
u = 0.204387 − 1.100630I
a = −0.895943 − 0.544333I
b = −0.155008 − 1.051230I
2.86286 − 4.82970I 0
u = 0.724429 + 0.492186I
a = −0.221354 − 0.003732I
b = 0.218270 − 0.363227I
1.06409 + 2.53770I 0
u = 0.724429 − 0.492186I
a = −0.221354 + 0.003732I
b = 0.218270 + 0.363227I
1.06409 − 2.53770I 0
u = 0.098846 + 1.120500I
a = −1.32602 − 0.75884I
b = −0.547775 + 1.014710I
−4.40175 + 2.27220I 0
u = 0.098846 − 1.120500I
a = −1.32602 + 0.75884I
b = −0.547775 − 1.014710I
−4.40175 − 2.27220I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.038169 + 0.872769I
a = 3.19060 + 0.29768I
b = −0.038169 − 0.872769I
− 9.40180I 0
u = −0.038169 − 0.872769I
a = 3.19060 − 0.29768I
b = −0.038169 + 0.872769I
9.40180I 0
u = 0.826802 + 0.254280I
a = 0.423229 + 1.072870I
b = 0.048183 − 1.034830I
1.68569 + 1.98753I 0
u = 0.826802 − 0.254280I
a = 0.423229 − 1.072870I
b = 0.048183 + 1.034830I
1.68569 − 1.98753I 0
u = −0.025027 + 1.137880I
a = −0.93249 + 1.12429I
b = −0.135474 − 0.844110I
−2.26284 + 2.38006I 0
u = −0.025027 − 1.137880I
a = −0.93249 − 1.12429I
b = −0.135474 + 0.844110I
−2.26284 − 2.38006I 0
u = −0.135474 + 0.844110I
a = −1.46572 − 0.11078I
b = −0.025027 − 1.137880I
2.26284 + 2.38006I 0
u = −0.135474 − 0.844110I
a = −1.46572 + 0.11078I
b = −0.025027 + 1.137880I
2.26284 − 2.38006I 0
u = −0.073562 + 0.849661I
a = −0.129598 + 0.600967I
b = 0.33723 − 1.80064I
2.52076 + 0.62563I 0
u = −0.073562 − 0.849661I
a = −0.129598 − 0.600967I
b = 0.33723 + 1.80064I
2.52076 − 0.62563I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.838496 + 0.137029I
a = 0.46437 + 1.86669I
b = 0.384605 − 1.005630I
0.91300 + 3.25049I 0
u = 0.838496 − 0.137029I
a = 0.46437 − 1.86669I
b = 0.384605 + 1.005630I
0.91300 − 3.25049I 0
u = 1.047380 + 0.476835I
a = 0.44512 + 1.34264I
b = −0.201455 − 0.670663I
−1.58375 + 3.04276I 0
u = 1.047380 − 0.476835I
a = 0.44512 − 1.34264I
b = −0.201455 + 0.670663I
−1.58375 − 3.04276I 0
u = −0.547775 + 1.014710I
a = 1.38852 − 1.21465I
b = 0.098846 + 1.120500I
4.40175 − 2.27220I 0
u = −0.547775 − 1.014710I
a = 1.38852 + 1.21465I
b = 0.098846 − 1.120500I
4.40175 + 2.27220I 0
u = −0.504260 + 1.039200I
a = 0.85543 − 1.43473I
b = 0.45680 + 1.37653I
3.25392 − 6.73569I 0
u = −0.504260 − 1.039200I
a = 0.85543 + 1.43473I
b = 0.45680 − 1.37653I
3.25392 + 6.73569I 0
u = −0.801920 + 0.225074I
a = 0.26580 − 1.92824I
b = −0.347240 + 1.306480I
6.09129 + 3.67687I 0
u = −0.801920 − 0.225074I
a = 0.26580 + 1.92824I
b = −0.347240 − 1.306480I
6.09129 − 3.67687I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.194135 + 1.159610I
a = 0.426812 − 0.802608I
b = 0.64980 + 1.77633I
−1.24450 − 6.61929I 0
u = −0.194135 − 1.159610I
a = 0.426812 + 0.802608I
b = 0.64980 − 1.77633I
−1.24450 + 6.61929I 0
u = −0.413869 + 0.712030I
a = −0.924236 + 0.596977I
b = 0.40116 − 1.43664I
3.26014 + 2.74200I 0
u = −0.413869 − 0.712030I
a = −0.924236 − 0.596977I
b = 0.40116 + 1.43664I
3.26014 − 2.74200I 0
u = 0.358880 + 1.125930I
a = 2.42751 + 0.53129I
b = 0.081765 − 1.085650I
1.03850 + 9.71041I 0
u = 0.358880 − 1.125930I
a = 2.42751 − 0.53129I
b = 0.081765 + 1.085650I
1.03850 − 9.71041I 0
u = 0.354486 + 1.137680I
a = 0.459887 + 0.682483I
b = 0.613232 − 0.823675I
−0.64534 + 2.48885I 0
u = 0.354486 − 1.137680I
a = 0.459887 − 0.682483I
b = 0.613232 + 0.823675I
−0.64534 − 2.48885I 0
u = 0.729973 + 0.296590I
a = 0.844925 + 0.526610I
b = −0.542269 − 0.003712I
1.50001 + 2.85730I 0
u = 0.729973 − 0.296590I
a = 0.844925 − 0.526610I
b = −0.542269 + 0.003712I
1.50001 − 2.85730I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.217430 + 0.146682I
a = 0.35174 − 1.59271I
b = −0.380162 + 1.230360I
5.13554 + 6.54586I 0
u = −1.217430 − 0.146682I
a = 0.35174 + 1.59271I
b = −0.380162 − 1.230360I
5.13554 − 6.54586I 0
u = 0.640629 + 0.432937I
a = 0.753849 + 0.653524I
b = −0.202385 − 1.215850I
1.70567 + 1.64873I 0
u = 0.640629 − 0.432937I
a = 0.753849 − 0.653524I
b = −0.202385 + 1.215850I
1.70567 − 1.64873I 0
u = −0.202385 + 1.215850I
a = −0.017736 + 0.493749I
b = 0.640629 − 0.432937I
−1.70567 + 1.64873I 0
u = −0.202385 − 1.215850I
a = −0.017736 − 0.493749I
b = 0.640629 + 0.432937I
−1.70567 − 1.64873I 0
u = 1.241660 + 0.000578I
a = −0.103343 − 1.406140I
b = 0.348304 + 1.259150I
2.99999 − 6.53096I 0
u = 1.241660 − 0.000578I
a = −0.103343 + 1.406140I
b = 0.348304 − 1.259150I
2.99999 + 6.53096I 0
u = −0.735451 + 0.177578I
a = 0.553053 − 0.678758I
b = −0.735451 − 0.177578I
− 10.8593I 0
u = −0.735451 − 0.177578I
a = 0.553053 + 0.678758I
b = −0.735451 + 0.177578I
10.8593I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.592458 + 1.097850I
a = −0.89786 − 1.10652I
b = −0.69048 + 1.34634I
4.48445 + 12.89690I 0
u = 0.592458 − 1.097850I
a = −0.89786 + 1.10652I
b = −0.69048 − 1.34634I
4.48445 − 12.89690I 0
u = −1.008240 + 0.736346I
a = 0.125074 − 0.933280I
b = −0.141427 + 0.502698I
−1.61642 + 5.68271I 0
u = −1.008240 − 0.736346I
a = 0.125074 + 0.933280I
b = −0.141427 − 0.502698I
−1.61642 − 5.68271I 0
u = −0.186777 + 1.246840I
a = −0.760603 − 0.330859I
b = −0.864219 − 0.506539I
−3.78459 − 4.20222I 0
u = −0.186777 − 1.246840I
a = −0.760603 + 0.330859I
b = −0.864219 + 0.506539I
−3.78459 + 4.20222I 0
u = 1.274010 + 0.002155I
a = 0.17769 + 1.53470I
b = −0.392076 − 1.290980I
4.3631 − 14.9744I 0
u = 1.274010 − 0.002155I
a = 0.17769 − 1.53470I
b = −0.392076 + 1.290980I
4.3631 + 14.9744I 0
u = 0.080709 + 1.272450I
a = −0.971199 + 0.245399I
b = −0.638373 + 0.767389I
−5.21796 + 2.67365I 0
u = 0.080709 − 1.272450I
a = −0.971199 − 0.245399I
b = −0.638373 − 0.767389I
−5.21796 − 2.67365I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.178544 + 1.263810I
a = −0.317193 − 0.353665I
b = −1.028930 + 0.419517I
−5.05665 − 1.27721I 0
u = −0.178544 − 1.263810I
a = −0.317193 + 0.353665I
b = −1.028930 − 0.419517I
−5.05665 + 1.27721I 0
u = −0.435716 + 1.204860I
a = 1.34640 − 1.04943I
b = 0.510008 + 1.287380I
3.01615 − 8.22973I 0
u = −0.435716 − 1.204860I
a = 1.34640 + 1.04943I
b = 0.510008 − 1.287380I
3.01615 + 8.22973I 0
u = −0.380162 + 1.230360I
a = −0.304080 + 0.165278I
b = −1.217430 + 0.146682I
−5.13554 − 6.54586I 0
u = −0.380162 − 1.230360I
a = −0.304080 − 0.165278I
b = −1.217430 − 0.146682I
−5.13554 + 6.54586I 0
u = 0.209467 + 1.275540I
a = −0.310130 − 0.170895I
b = −1.365010 + 0.227003I
−5.80644 + 4.40592I 0
u = 0.209467 − 1.275540I
a = −0.310130 + 0.170895I
b = −1.365010 − 0.227003I
−5.80644 − 4.40592I 0
u = −0.008032 + 0.707209I
a = −0.744637 + 0.267026I
b = −1.21653 + 0.96709I
1.61685 − 5.65859I 0
u = −0.008032 − 0.707209I
a = −0.744637 − 0.267026I
b = −1.21653 − 0.96709I
1.61685 + 5.65859I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.521757 + 1.190380I
a = 0.982881 + 0.877814I
b = 0.57949 − 1.33670I
5.01183 + 3.30390I 0
u = 0.521757 − 1.190380I
a = 0.982881 − 0.877814I
b = 0.57949 + 1.33670I
5.01183 − 3.30390I 0
u = −0.201455 + 0.670663I
a = 1.094690 − 0.426052I
b = 1.047380 − 0.476835I
1.58375 + 3.04276I 0
u = −0.201455 − 0.670663I
a = 1.094690 + 0.426052I
b = 1.047380 + 0.476835I
1.58375 − 3.04276I 0
u = 0.348304 + 1.259150I
a = 0.072451 + 0.261668I
b = 1.241660 + 0.000578I
−2.99999 + 6.53096I 0
u = 0.348304 − 1.259150I
a = 0.072451 − 0.261668I
b = 1.241660 − 0.000578I
−2.99999 − 6.53096I 0
u = −0.015741 + 1.325840I
a = 0.440036 − 0.885792I
b = 0.498678 − 0.330608I
−3.42745 − 6.17744I 0
u = −0.015741 − 1.325840I
a = 0.440036 + 0.885792I
b = 0.498678 + 0.330608I
−3.42745 + 6.17744I 0
u = 0.612638 + 1.195610I
a = 0.345226 + 0.999956I
b = 0.565862 − 0.787510I
−0.82965 + 2.65878I 0
u = 0.612638 − 1.195610I
a = 0.345226 − 0.999956I
b = 0.565862 + 0.787510I
−0.82965 − 2.65878I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.698418 + 1.148540I
a = −1.13573 + 1.10329I
b = 0.031691 − 0.990579I
1.80089 − 1.83392I 0
u = −0.698418 − 1.148540I
a = −1.13573 − 1.10329I
b = 0.031691 + 0.990579I
1.80089 + 1.83392I 0
u = 0.651859
a = 1.30127
b = −0.121386
1.03935 0
u = −0.392076 + 1.290980I
a = 0.160934 − 0.260850I
b = 1.274010 − 0.002155I
−4.3631 − 14.9744I 0
u = −0.392076 − 1.290980I
a = 0.160934 + 0.260850I
b = 1.274010 + 0.002155I
−4.3631 + 14.9744I 0
u = −0.347240 + 1.306480I
a = −0.304351 + 0.237992I
b = −0.801920 + 0.225074I
−6.09129 − 3.67687I 0
u = −0.347240 − 1.306480I
a = −0.304351 − 0.237992I
b = −0.801920 − 0.225074I
−6.09129 + 3.67687I 0
u = 0.390802 + 1.300370I
a = −0.0372292 − 0.1244690I
b = 0.994147 + 0.447540I
−6.58758 + 7.24408I 0
u = 0.390802 − 1.300370I
a = −0.0372292 + 0.1244690I
b = 0.994147 − 0.447540I
−6.58758 − 7.24408I 0
u = −0.602683 + 0.154149I
a = 0.339281 + 0.335040I
b = 0.512946 − 0.069863I
−1.64259 + 0.07288I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.602683 − 0.154149I
a = 0.339281 − 0.335040I
b = 0.512946 + 0.069863I
−1.64259 − 0.07288I 0
u = −1.365010 + 0.227003I
a = −0.04924 − 1.56492I
b = 0.209467 + 1.275540I
5.80644 − 4.40592I 0
u = −1.365010 − 0.227003I
a = −0.04924 + 1.56492I
b = 0.209467 − 1.275540I
5.80644 + 4.40592I 0
u = 0.510008 + 1.287380I
a = −1.14072 − 1.30291I
b = −0.435716 + 1.204860I
−3.01615 + 8.22973I 0
u = 0.510008 − 1.287380I
a = −1.14072 + 1.30291I
b = −0.435716 − 1.204860I
−3.01615 − 8.22973I 0
u = 0.165168 + 1.387130I
a = −0.571152 + 0.669630I
b = −0.013025 + 0.889984I
−4.14677 + 4.21274I 0
u = 0.165168 − 1.387130I
a = −0.571152 − 0.669630I
b = −0.013025 − 0.889984I
−4.14677 − 4.21274I 0
u = −0.252765 + 1.375860I
a = 0.0630504 − 0.0072569I
b = 0.906525 − 0.226741I
−7.99660 + 1.83983I 0
u = −0.252765 − 1.375860I
a = 0.0630504 + 0.0072569I
b = 0.906525 + 0.226741I
−7.99660 − 1.83983I 0
u = 0.498678 + 0.330608I
a = −1.05892 + 3.23620I
b = −0.015741 − 1.325840I
3.42745 − 6.17744I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.498678 − 0.330608I
a = −1.05892 − 3.23620I
b = −0.015741 + 1.325840I
3.42745 + 6.17744I 0
u = 0.342270 + 1.368570I
a = −0.285730 − 0.131290I
b = −0.835416 + 0.282230I
−4.52184 + 6.28312I 0
u = 0.342270 − 1.368570I
a = −0.285730 + 0.131290I
b = −0.835416 − 0.282230I
−4.52184 − 6.28312I 0
u = 0.044599 + 0.559522I
a = 2.19902 + 1.72214I
b = 0.037178 + 0.336355I
−1.26339 + 3.53599I 0
u = 0.044599 − 0.559522I
a = 2.19902 − 1.72214I
b = 0.037178 − 0.336355I
−1.26339 − 3.53599I 0
u = 0.45680 + 1.37653I
a = −0.781031 − 0.695952I
b = −0.504260 + 1.039200I
−3.25392 + 6.73569I 0
u = 0.45680 − 1.37653I
a = −0.781031 + 0.695952I
b = −0.504260 − 1.039200I
−3.25392 − 6.73569I 0
u = 0.57949 + 1.33670I
a = 0.64875 + 1.29975I
b = 0.521757 − 1.190380I
−5.01183 + 3.30390I 0
u = 0.57949 − 1.33670I
a = 0.64875 − 1.29975I
b = 0.521757 + 1.190380I
−5.01183 − 3.30390I 0
u = −0.542269 + 0.003712I
a = 0.127368 − 0.868560I
b = 0.729973 − 0.296590I
−1.50001 + 2.85730I −7.03168 − 9.29271I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.542269 − 0.003712I
a = 0.127368 + 0.868560I
b = 0.729973 + 0.296590I
−1.50001 − 2.85730I −7.03168 + 9.29271I
u = −0.60249 + 1.33280I
a = 0.79980 − 1.29573I
b = 0.58228 + 1.38962I
1.35735 − 12.84530I 0
u = −0.60249 − 1.33280I
a = 0.79980 + 1.29573I
b = 0.58228 − 1.38962I
1.35735 + 12.84530I 0
u = −0.141427 + 0.502698I
a = −0.605084 + 0.833743I
b = −1.008240 + 0.736346I
1.61642 − 5.68271I 5.78893 + 6.51076I
u = −0.141427 − 0.502698I
a = −0.605084 − 0.833743I
b = −1.008240 − 0.736346I
1.61642 + 5.68271I 5.78893 − 6.51076I
u = 0.512946 + 0.069863I
a = 1.053910 − 0.199001I
b = −0.602683 − 0.154149I
1.64259 + 0.07288I 6.72266 + 0.I
u = 0.512946 − 0.069863I
a = 1.053910 + 0.199001I
b = −0.602683 + 0.154149I
1.64259 − 0.07288I 6.72266 + 0.I
u = −0.45647 + 1.41731I
a = −0.759777 + 0.979733I
b = −0.60812 − 1.45626I
−0.74114 − 11.16110I 0
u = −0.45647 − 1.41731I
a = −0.759777 − 0.979733I
b = −0.60812 + 1.45626I
−0.74114 + 11.16110I 0
u = 0.40116 + 1.43664I
a = −0.162936 + 0.521349I
b = −0.413869 − 0.712030I
−3.26014 + 2.74200I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.40116 − 1.43664I
a = −0.162936 − 0.521349I
b = −0.413869 + 0.712030I
−3.26014 − 2.74200I 0
u = 0.58228 + 1.38962I
a = −0.847279 − 1.044300I
b = −0.60249 + 1.33280I
−1.35735 + 12.84530I 0
u = 0.58228 − 1.38962I
a = −0.847279 + 1.044300I
b = −0.60249 − 1.33280I
−1.35735 − 12.84530I 0
u = −0.69048 + 1.34634I
a = 0.578684 − 1.191290I
b = 0.592458 + 1.097850I
−4.48445 − 12.89690I 0
u = −0.69048 − 1.34634I
a = 0.578684 + 1.191290I
b = 0.592458 − 1.097850I
−4.48445 + 12.89690I 0
u = 0.59787 + 1.39664I
a = 0.83451 + 1.18352I
b = 0.59787 − 1.39664I
21.4390I 0
u = 0.59787 − 1.39664I
a = 0.83451 − 1.18352I
b = 0.59787 + 1.39664I
− 21.4390I 0
u = −1.21653 + 0.96709I
a = 0.127649 − 1.046760I
b = −0.008032 + 0.707209I
−1.61685 + 5.65859I 0
u = −1.21653 − 0.96709I
a = 0.127649 + 1.046760I
b = −0.008032 − 0.707209I
−1.61685 − 5.65859I 0
u = 0.218270 + 0.363227I
a = −0.757589 + 0.035843I
b = 0.724429 − 0.492186I
−1.06409 + 2.53770I −9.83616 − 8.02353I
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.218270 − 0.363227I
a = −0.757589 − 0.035843I
b = 0.724429 + 0.492186I
−1.06409 − 2.53770I −9.83616 + 8.02353I
u = −0.60812 + 1.45626I
a = −0.689061 + 1.180300I
b = −0.45647 − 1.41731I
0.74114 − 11.16110I 0
u = −0.60812 − 1.45626I
a = −0.689061 − 1.180300I
b = −0.45647 + 1.41731I
0.74114 + 11.16110I 0
u = −0.84402 + 1.34401I
a = −0.602391 + 1.118000I
b = −0.340233 − 0.924142I
−2.65028 − 5.98733I 0
u = −0.84402 − 1.34401I
a = −0.602391 − 1.118000I
b = −0.340233 + 0.924142I
−2.65028 + 5.98733I 0
u = −0.16055 + 1.59671I
a = −0.442577 + 0.099851I
b = −0.098449 − 0.972581I
−2.01485 − 3.55741I 0
u = −0.16055 − 1.59671I
a = −0.442577 − 0.099851I
b = −0.098449 + 0.972581I
−2.01485 + 3.55741I 0
u = −0.96058 + 1.31302I
a = −0.286862 + 1.230000I
b = −0.143691 − 0.946403I
−2.04273 − 1.92425I 0
u = −0.96058 − 1.31302I
a = −0.286862 − 1.230000I
b = −0.143691 + 0.946403I
−2.04273 + 1.92425I 0
u = 0.037178 + 0.336355I
a = −3.60309 − 3.52603I
b = 0.044599 + 0.559522I
1.26339 − 3.53599I 8.48761 + 1.84732I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.037178 − 0.336355I
a = −3.60309 + 3.52603I
b = 0.044599 − 0.559522I
1.26339 + 3.53599I 8.48761 − 1.84732I
u = −0.189179 + 0.240700I
a = 0.493757 + 0.798291I
b = 0.671960 − 0.807813I
−0.60621 + 2.56467I 1.05348 + 9.91926I
u = −0.189179 − 0.240700I
a = 0.493757 − 0.798291I
b = 0.671960 + 0.807813I
−0.60621 − 2.56467I 1.05348 − 9.91926I
u = 0.33723 + 1.80064I
a = 0.041114 + 0.565302I
b = −0.073562 − 0.849661I
−2.52076 + 0.62563I 0
u = 0.33723 − 1.80064I
a = 0.041114 − 0.565302I
b = −0.073562 + 0.849661I
−2.52076 − 0.62563I 0
u = −0.121386
a = 6.33618
b = 0.651859
−1.03935 −9.23360
u = 0.64980 + 1.77633I
a = −0.282970 − 0.856836I
b = −0.194135 + 1.159610I
1.24450 + 6.61929I 0
u = 0.64980 − 1.77633I
a = −0.282970 + 0.856836I
b = −0.194135 − 1.159610I
1.24450 − 6.61929I 0
u = 0.71740 + 2.20998I
a = −0.159639 − 0.795440I
b = 0.119296 + 0.965852I
−0.94548 − 7.07618I 0
u = 0.71740 − 2.20998I
a = −0.159639 + 0.795440I
b = 0.119296 − 0.965852I
−0.94548 + 7.07618I 0
23
II.
I
u
2
= h9.77 × 10
48
u
45
+ 1.29 × 10
49
u
44
+ · · · + 7.61 × 10
48
b − 1.59 × 10
49
, 4.79 ×
10
49
u
45
+3.77×10
49
u
44
+· · ·+1.52×10
49
a−4.81×10
49
, u
46
+u
45
+· · ·−2u+1i
(i) Arc colorings
a
8
=
0
u
a
12
=
1
0
a
1
=
1
−u
2
a
5
=
−3.14479u
45
− 2.47743u
44
+ ··· + 6.20769u + 3.16086
−1.28341u
45
− 1.69479u
44
+ ··· + 6.32515u + 2.08601
a
4
=
−4.42820u
45
− 4.17222u
44
+ ··· + 12.5328u + 5.24687
−1.28341u
45
− 1.69479u
44
+ ··· + 6.32515u + 2.08601
a
2
=
0.845860u
45
+ 1.58667u
44
+ ··· − 7.57292u + 13.1916
−0.942781u
45
− 1.28190u
44
+ ··· + 16.0628u + 0.227574
a
7
=
−u
u
3
+ u
a
3
=
−2.88832u
45
− 2.72018u
44
+ ··· + 16.4425u + 5.69110
−1.88543u
45
− 2.20767u
44
+ ··· + 4.13104u + 1.55394
a
11
=
0.465016u
45
− 0.995453u
44
+ ··· + 20.3747u − 8.28756
1.98562u
45
+ 2.56756u
44
+ ··· − 11.8551u − 1.10611
a
9
=
6.47064u
45
+ 3.64790u
44
+ ··· + 12.8110u − 1.77496
−2.64343u
45
− 1.34550u
44
+ ··· − 12.4888u − 1.73754
a
6
=
7.15260u
45
+ 5.81205u
44
+ ··· − 5.90193u + 11.2994
−2.38129u
45
− 3.79813u
44
+ ··· + 14.4459u − 3.26141
a
10
=
−0.451925u
45
− 1.49570u
44
+ ··· + 16.7203u − 12.0040
0.327833u
45
+ 1.22926u
44
+ ··· − 17.2272u + 1.86062
(ii) Obstruction class = 1
(iii) Cusp Shapes = −9.71406u
45
− 14.4173u
44
+ ··· + 113.376u + 42.9605
24
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
46
− 10u
45
+ ··· − 43u + 7
c
2
u
46
+ 4u
45
+ ··· − 16u
2
+ 1
c
3
u
46
+ 3u
45
+ ··· + 6u + 11
c
4
, c
7
u
46
− u
45
+ ··· + 2u + 1
c
5
u
46
− 3u
45
+ ··· − 6u + 11
c
6
u
46
− 4u
45
+ ··· − 16u
2
+ 1
c
8
u
46
+ 10u
45
+ ··· + 43u + 7
c
9
u
46
+ 11u
44
+ ··· − u + 1
c
10
u
46
+ 11u
44
+ ··· + u + 1
c
11
, c
12
u
46
+ u
45
+ ··· − 2u + 1
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
8
y
46
− 4y
45
+ ··· − 939y + 49
c
2
, c
6
y
46
− 4y
45
+ ··· − 32y + 1
c
3
, c
5
y
46
− 29y
45
+ ··· − 2522y + 121
c
4
, c
7
, c
11
c
12
y
46
+ 41y
45
+ ··· − 30y + 1
c
9
, c
10
y
46
+ 22y
45
+ ··· + 27y + 1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.727540 + 0.688729I
a = −0.427620 − 0.261294I
b = 0.200432 − 0.011361I
0.53949 + 2.86039I 0. − 15.4305I
u = 0.727540 − 0.688729I
a = −0.427620 + 0.261294I
b = 0.200432 + 0.011361I
0.53949 − 2.86039I 0. + 15.4305I
u = −0.329478 + 0.960965I
a = 1.16986 − 1.12279I
b = 0.68718 + 1.34568I
2.50780 − 5.65241I 0
u = −0.329478 − 0.960965I
a = 1.16986 + 1.12279I
b = 0.68718 − 1.34568I
2.50780 + 5.65241I 0
u = −0.778009 + 0.584867I
a = −0.20578 + 2.50673I
b = −0.105849 − 1.265510I
4.47763 − 3.29898I 5.18756 + 3.44828I
u = −0.778009 − 0.584867I
a = −0.20578 − 2.50673I
b = −0.105849 + 1.265510I
4.47763 + 3.29898I 5.18756 − 3.44828I
u = −1.025180 + 0.087295I
a = −0.26513 − 1.70468I
b = 0.327609 + 1.291840I
4.78004 − 5.53985I 0
u = −1.025180 − 0.087295I
a = −0.26513 + 1.70468I
b = 0.327609 − 1.291840I
4.78004 + 5.53985I 0
u = −0.065381 + 0.948354I
a = 0.660454 + 0.569804I
b = 0.64687 − 1.77525I
0.94522 − 6.65017I 1.38744 + 1.69747I
u = −0.065381 − 0.948354I
a = 0.660454 − 0.569804I
b = 0.64687 + 1.77525I
0.94522 + 6.65017I 1.38744 − 1.69747I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.313371 + 1.008590I
a = 2.79375 + 1.42100I
b = 0.313371 − 1.008590I
10.6567I 0
u = 0.313371 − 1.008590I
a = 2.79375 − 1.42100I
b = 0.313371 + 1.008590I
− 10.6567I 0
u = −0.646822 + 0.591396I
a = 0.88503 − 1.19039I
b = 0.586185 + 1.102620I
0.54038 − 2.81203I −12.74993 + 4.27436I
u = −0.646822 − 0.591396I
a = 0.88503 + 1.19039I
b = 0.586185 − 1.102620I
0.54038 + 2.81203I −12.74993 − 4.27436I
u = −0.043894 + 0.833181I
a = 0.754718 − 0.573028I
b = 0.55008 + 1.61160I
2.62289 − 1.22032I 9.80701 + 4.35080I
u = −0.043894 − 0.833181I
a = 0.754718 + 0.573028I
b = 0.55008 − 1.61160I
2.62289 + 1.22032I 9.80701 − 4.35080I
u = 0.204267 + 0.736085I
a = −1.74200 + 0.37937I
b = −0.442043 + 0.302005I
0.80874 + 4.00875I 0.23241 − 9.18036I
u = 0.204267 − 0.736085I
a = −1.74200 − 0.37937I
b = −0.442043 − 0.302005I
0.80874 − 4.00875I 0.23241 + 9.18036I
u = 0.586185 + 1.102620I
a = −0.317153 − 0.984578I
b = −0.646822 + 0.591396I
−0.54038 + 2.81203I 0
u = 0.586185 − 1.102620I
a = −0.317153 + 0.984578I
b = −0.646822 − 0.591396I
−0.54038 − 2.81203I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.105849 + 1.265510I
a = −0.932535 − 0.304062I
b = −0.778009 − 0.584867I
−4.47763 − 3.29898I 0
u = −0.105849 − 1.265510I
a = −0.932535 + 0.304062I
b = −0.778009 + 0.584867I
−4.47763 + 3.29898I 0
u = −0.320917 + 0.633639I
a = 1.086150 − 0.393176I
b = −0.25002 + 1.52526I
3.48588 + 2.45562I 13.9636 + 3.1362I
u = −0.320917 − 0.633639I
a = 1.086150 + 0.393176I
b = −0.25002 − 1.52526I
3.48588 − 2.45562I 13.9636 − 3.1362I
u = 0.136120 + 1.304210I
a = −0.465825 + 0.953517I
b = −0.280410 + 0.467502I
−5.16145 + 4.49240I 0
u = 0.136120 − 1.304210I
a = −0.465825 − 0.953517I
b = −0.280410 − 0.467502I
−5.16145 − 4.49240I 0
u = −0.046914 + 1.325630I
a = 0.188006 + 0.656992I
b = −0.046914 − 1.325630I
5.87289I 0
u = −0.046914 − 1.325630I
a = 0.188006 − 0.656992I
b = −0.046914 + 1.325630I
− 5.87289I 0
u = 0.327609 + 1.291840I
a = −0.306628 − 0.099445I
b = −1.025180 + 0.087295I
−4.78004 + 5.53985I 0
u = 0.327609 − 1.291840I
a = −0.306628 + 0.099445I
b = −1.025180 − 0.087295I
−4.78004 − 5.53985I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.280410 + 0.467502I
a = −0.61780 − 3.81100I
b = 0.136120 + 1.304210I
5.16145 − 4.49240I 10.46065 + 5.83591I
u = −0.280410 − 0.467502I
a = −0.61780 + 3.81100I
b = 0.136120 − 1.304210I
5.16145 + 4.49240I 10.46065 − 5.83591I
u = −0.442043 + 0.302005I
a = 0.08572 − 3.26342I
b = 0.204267 + 0.736085I
−0.80874 − 4.00875I −0.23241 + 9.18036I
u = −0.442043 − 0.302005I
a = 0.08572 + 3.26342I
b = 0.204267 − 0.736085I
−0.80874 + 4.00875I −0.23241 − 9.18036I
u = 0.68718 + 1.34568I
a = −0.759936 − 1.001910I
b = −0.329478 + 0.960965I
−2.50780 + 5.65241I 0
u = 0.68718 − 1.34568I
a = −0.759936 + 1.001910I
b = −0.329478 − 0.960965I
−2.50780 − 5.65241I 0
u = −0.54474 + 1.42111I
a = −0.722129 + 1.091760I
b = −0.54474 − 1.42111I
− 11.2700I 0
u = −0.54474 − 1.42111I
a = −0.722129 − 1.091760I
b = −0.54474 + 1.42111I
11.2700I 0
u = −0.25002 + 1.52526I
a = −0.209460 − 0.611891I
b = −0.320917 + 0.633639I
−3.48588 − 2.45562I 0
u = −0.25002 − 1.52526I
a = −0.209460 + 0.611891I
b = −0.320917 − 0.633639I
−3.48588 + 2.45562I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.55008 + 1.61160I
a = −0.403835 − 0.710308I
b = −0.043894 + 0.833181I
−2.62289 + 1.22032I 0
u = 0.55008 − 1.61160I
a = −0.403835 + 0.710308I
b = −0.043894 − 0.833181I
−2.62289 − 1.22032I 0
u = 0.200432 + 0.011361I
a = −0.21191 − 1.75836I
b = 0.727540 − 0.688729I
−0.53949 + 2.86039I 6.2042 − 15.4305I
u = 0.200432 − 0.011361I
a = −0.21191 + 1.75836I
b = 0.727540 + 0.688729I
−0.53949 − 2.86039I 6.2042 + 15.4305I
u = 0.64687 + 1.77525I
a = 0.464060 + 0.764909I
b = −0.065381 − 0.948354I
−0.94522 − 6.65017I 0
u = 0.64687 − 1.77525I
a = 0.464060 − 0.764909I
b = −0.065381 + 0.948354I
−0.94522 + 6.65017I 0
31
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
46
− 10u
45
+ ··· − 43u + 7)(u
190
+ 5u
189
+ ··· + 6665u + 199)
c
2
(u
46
+ 4u
45
+ ··· − 16u
2
+ 1)(u
190
− 9u
189
+ ··· − 4u + 1)
c
3
(u
46
+ 3u
45
+ ··· + 6u + 11)
· (u
190
− 2u
189
+ ··· + 670900166u − 53862673)
c
4
(u
46
− u
45
+ ··· + 2u + 1)(u
190
+ 67u
188
+ ··· + 138006u − 17447)
c
5
(u
46
− 3u
45
+ ··· − 6u + 11)
· (u
190
+ 2u
189
+ ··· − 670900166u − 53862673)
c
6
(u
46
− 4u
45
+ ··· − 16u
2
+ 1)(u
190
+ 9u
189
+ ··· + 4u + 1)
c
7
(u
46
− u
45
+ ··· + 2u + 1)(u
190
+ 67u
188
+ ··· − 138006u − 17447)
c
8
(u
46
+ 10u
45
+ ··· + 43u + 7)(u
190
− 5u
189
+ ··· − 6665u + 199)
c
9
(u
46
+ 11u
44
+ ··· − u + 1)(u
190
− u
189
+ ··· + 29u − 1)
c
10
(u
46
+ 11u
44
+ ··· + u + 1)(u
190
+ u
189
+ ··· − 29u − 1)
c
11
(u
46
+ u
45
+ ··· − 2u + 1)(u
190
+ 67u
188
+ ··· + 138006u − 17447)
c
12
(u
46
+ u
45
+ ··· − 2u + 1)(u
190
+ 67u
188
+ ··· − 138006u − 17447)
32
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
8
(y
46
− 4y
45
+ ··· − 939y + 49)
· (y
190
− 19y
189
+ ··· + 1497025y + 39601)
c
2
, c
6
(y
46
− 4y
45
+ ··· − 32y + 1)(y
190
− 23y
189
+ ··· − 252y + 1)
c
3
, c
5
(y
46
− 29y
45
+ ··· − 2522y + 121)
· (y
190
− 88y
189
+ ··· − 175498183281035406y + 2901187542704929)
c
4
, c
7
, c
11
c
12
(y
46
+ 41y
45
+ ··· − 30y + 1)
· (y
190
+ 134y
189
+ ··· + 46421594y + 304397809)
c
9
, c
10
(y
46
+ 22y
45
+ ··· + 27y + 1)(y
190
+ 23y
189
+ ··· − 149y + 1)
33
