11a
289
(K11a
289
)
A knot diagram
1
Linearized knot diagam
9 5 1 7 2 10 11 3 6 4 8
Solving Sequence
8,11 1,4
3 9 7 5 2 10 6
c
11
c
3
c
8
c
7
c
4
c
2
c
10
c
6
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.33884 × 10
224
u
90
+ 2.00374 × 10
224
u
89
+ ··· + 1.85594 × 10
224
b − 1.47160 × 10
225
,
− 6.91616 × 10
224
u
90
− 7.19072 × 10
224
u
89
+ ··· + 1.85594 × 10
224
a + 1.27904 × 10
226
,
u
91
+ u
90
+ ··· − 38u − 1i
I
u
2
= h−21753030u
18
+ 6745274u
17
+ ··· + 4200133b − 80944935,
2155133u
18
− 644977u
17
+ ··· + 85717a + 7203604, u
19
− 7u
17
+ ··· + 4u + 1i
* 2 irreducible components of dim
C
= 0, with total 110 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−2.34 × 10
224
u
90
+ 2.00 × 10
224
u
89
+ · · · + 1.86 × 10
224
b − 1.47 ×
10
225
, −6.92 × 10
224
u
90
− 7.19 × 10
224
u
89
+ · · · + 1.86 × 10
224
a + 1.28 ×
10
226
, u
91
+ u
90
+ · · · − 38u − 1i
(i) Arc colorings
a
8
=
0
u
a
11
=
1
0
a
1
=
1
u
2
a
4
=
3.72650u
90
+ 3.87443u
89
+ ··· − 1799.70u − 68.9163
1.26019u
90
− 1.07963u
89
+ ··· + 176.719u + 7.92913
a
3
=
4.76767u
90
+ 3.17976u
89
+ ··· − 1632.33u − 61.1351
3.22294u
90
− 1.26978u
89
+ ··· + 111.798u + 6.19329
a
9
=
7.99747u
90
+ 1.78196u
89
+ ··· − 1075.61u − 44.5830
6.35087u
90
− 0.377320u
89
+ ··· − 261.022u − 6.24056
a
7
=
u
u
a
5
=
6.40251u
90
+ 3.66084u
89
+ ··· − 1896.70u − 71.4040
3.93620u
90
− 1.29323u
89
+ ··· + 79.7178u + 5.44137
a
2
=
−1.49138u
90
+ 0.843199u
89
+ ··· + 578.943u + 31.1708
−1.35638u
90
+ 0.0358487u
89
+ ··· + 49.5120u + 0.205445
a
10
=
5.66600u
90
− 1.49334u
89
+ ··· + 485.280u + 37.8985
8.67471u
90
+ 0.525243u
89
+ ··· − 589.369u − 19.3718
a
6
=
−5.66191u
90
− 2.29724u
89
+ ··· + 1339.51u + 68.3501
−2.09349u
90
+ 1.35317u
89
+ ··· − 175.967u − 8.47779
a
6
=
−5.66191u
90
− 2.29724u
89
+ ··· + 1339.51u + 68.3501
−2.09349u
90
+ 1.35317u
89
+ ··· − 175.967u − 8.47779
(ii) Obstruction class = −1
(iii) Cusp Shapes = −17.9996u
90
− 14.8667u
89
+ ··· + 4221.76u + 150.087
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
91
− 5u
90
+ ··· + 244460u − 108400
c
2
, c
5
u
91
+ 6u
90
+ ··· + 757u + 1751
c
3
u
91
− 10u
90
+ ··· − 36u + 1
c
4
u
91
+ 9u
90
+ ··· + 25u + 1
c
6
, c
9
u
91
− 2u
90
+ ··· − 37u + 1117
c
7
, c
11
u
91
+ u
90
+ ··· − 38u − 1
c
8
u
91
+ u
90
+ ··· + 80u + 37
c
10
u
91
+ 2u
90
+ ··· − 46u + 4
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
91
− 37y
90
+ ··· + 248464929200y −11750560000
c
2
, c
5
y
91
+ 58y
90
+ ··· − 43405067y −3066001
c
3
y
91
− 10y
90
+ ··· + 128y −1
c
4
y
91
− 3y
90
+ ··· + 353y −1
c
6
, c
9
y
91
− 74y
90
+ ··· − 20772597y −1247689
c
7
, c
11
y
91
− 65y
90
+ ··· + 218y −1
c
8
y
91
+ 13y
90
+ ··· − 186888y −1369
c
10
y
91
+ 48y
89
+ ··· − 1780y −16
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.154514 + 1.000430I
a = 0.105188 + 0.509185I
b = 0.600669 − 0.721061I
3.06412 + 2.24647I 0
u = 0.154514 − 1.000430I
a = 0.105188 − 0.509185I
b = 0.600669 + 0.721061I
3.06412 − 2.24647I 0
u = −0.925483 + 0.337630I
a = 2.22116 + 0.06041I
b = −0.113347 − 0.257600I
5.58118 + 7.27652I 0
u = −0.925483 − 0.337630I
a = 2.22116 − 0.06041I
b = −0.113347 + 0.257600I
5.58118 − 7.27652I 0
u = 1.021280 + 0.097812I
a = 0.013238 + 0.538865I
b = 0.028178 − 1.308020I
4.96637 + 0.14906I 0
u = 1.021280 − 0.097812I
a = 0.013238 − 0.538865I
b = 0.028178 + 1.308020I
4.96637 − 0.14906I 0
u = 0.242468 + 1.000660I
a = 0.286579 − 0.228220I
b = −0.338311 + 0.628821I
1.90649 + 1.11668I 0
u = 0.242468 − 1.000660I
a = 0.286579 + 0.228220I
b = −0.338311 − 0.628821I
1.90649 − 1.11668I 0
u = 0.177856 + 0.940264I
a = −0.0109358 − 0.0657220I
b = 0.615843 + 1.111660I
4.35772 − 5.92655I 0
u = 0.177856 − 0.940264I
a = −0.0109358 + 0.0657220I
b = 0.615843 − 1.111660I
4.35772 + 5.92655I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.853700 + 0.606656I
a = 0.672847 + 0.305259I
b = −0.160836 + 0.461008I
2.01129 + 0.63862I 0
u = 0.853700 − 0.606656I
a = 0.672847 − 0.305259I
b = −0.160836 − 0.461008I
2.01129 − 0.63862I 0
u = −0.254816 + 0.881587I
a = 0.137178 − 0.146852I
b = 0.310437 − 0.630125I
0.01106 + 2.05657I 0
u = −0.254816 − 0.881587I
a = 0.137178 + 0.146852I
b = 0.310437 + 0.630125I
0.01106 − 2.05657I 0
u = −0.638896 + 0.646429I
a = −0.178496 + 1.303700I
b = 0.198949 − 0.951481I
6.40508 − 3.26778I 0
u = −0.638896 − 0.646429I
a = −0.178496 − 1.303700I
b = 0.198949 + 0.951481I
6.40508 + 3.26778I 0
u = 0.445566 + 0.776682I
a = −0.420019 − 0.743253I
b = 0.648716 − 1.061710I
8.11082 + 3.81719I 0
u = 0.445566 − 0.776682I
a = −0.420019 + 0.743253I
b = 0.648716 + 1.061710I
8.11082 − 3.81719I 0
u = −1.102810 + 0.120356I
a = 1.112970 + 0.716630I
b = 1.03514 + 1.52926I
−0.86513 + 3.43410I 0
u = −1.102810 − 0.120356I
a = 1.112970 − 0.716630I
b = 1.03514 − 1.52926I
−0.86513 − 3.43410I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.036080 + 0.399219I
a = −1.86514 − 0.23806I
b = −1.39914 − 1.31114I
6.27718 − 8.20883I 0
u = 1.036080 − 0.399219I
a = −1.86514 + 0.23806I
b = −1.39914 + 1.31114I
6.27718 + 8.20883I 0
u = −1.122850 + 0.028210I
a = −1.87730 + 0.53457I
b = −1.36440 + 1.26320I
−3.52236 + 1.23004I 0
u = −1.122850 − 0.028210I
a = −1.87730 − 0.53457I
b = −1.36440 − 1.26320I
−3.52236 − 1.23004I 0
u = 1.088340 + 0.354136I
a = 1.88933 − 0.00662I
b = 0.689405 + 0.508116I
1.41670 − 5.22000I 0
u = 1.088340 − 0.354136I
a = 1.88933 + 0.00662I
b = 0.689405 − 0.508116I
1.41670 + 5.22000I 0
u = 0.107319 + 1.155390I
a = −0.0450787 + 0.0302813I
b = −0.666347 − 1.032170I
8.3586 − 11.6518I 0
u = 0.107319 − 1.155390I
a = −0.0450787 − 0.0302813I
b = −0.666347 + 1.032170I
8.3586 + 11.6518I 0
u = −1.160610 + 0.125188I
a = 2.07171 + 0.76197I
b = 0.835112 − 0.755768I
2.65519 + 7.24321I 0
u = −1.160610 − 0.125188I
a = 2.07171 − 0.76197I
b = 0.835112 + 0.755768I
2.65519 − 7.24321I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.18021
a = −2.85483
b = −1.34979
−2.49691 0
u = 1.186300 + 0.048699I
a = −1.59766 − 0.40123I
b = −0.878174 + 0.318552I
−4.89749 − 1.53348I 0
u = 1.186300 − 0.048699I
a = −1.59766 + 0.40123I
b = −0.878174 − 0.318552I
−4.89749 + 1.53348I 0
u = −1.182020 + 0.116137I
a = 1.273900 − 0.281879I
b = 1.120750 − 0.771869I
−2.65839 + 0.87469I 0
u = −1.182020 − 0.116137I
a = 1.273900 + 0.281879I
b = 1.120750 + 0.771869I
−2.65839 − 0.87469I 0
u = 1.180210 + 0.162238I
a = 1.040030 − 0.496367I
b = 0.644086 + 0.744559I
−2.79141 − 4.21603I 0
u = 1.180210 − 0.162238I
a = 1.040030 + 0.496367I
b = 0.644086 − 0.744559I
−2.79141 + 4.21603I 0
u = −0.652969 + 0.474285I
a = −1.09565 − 1.00396I
b = −0.972670 + 0.215028I
1.29512 + 2.45316I 0
u = −0.652969 − 0.474285I
a = −1.09565 + 1.00396I
b = −0.972670 − 0.215028I
1.29512 − 2.45316I 0
u = 1.189900 + 0.165844I
a = 1.98196 − 0.66468I
b = 2.04084 − 0.86369I
2.09247 − 7.92588I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.189900 − 0.165844I
a = 1.98196 + 0.66468I
b = 2.04084 + 0.86369I
2.09247 + 7.92588I 0
u = −1.157580 + 0.336921I
a = −0.556616 − 0.531666I
b = −0.493201 − 0.788878I
−1.22092 + 2.30068I 0
u = −1.157580 − 0.336921I
a = −0.556616 + 0.531666I
b = −0.493201 + 0.788878I
−1.22092 − 2.30068I 0
u = 1.21568
a = −2.64009
b = −2.59413
−3.13944 0
u = 0.384760 + 0.675310I
a = −0.278767 − 0.486904I
b = −0.344151 + 0.878398I
3.59264 + 1.28182I 5.23084 + 0.I
u = 0.384760 − 0.675310I
a = −0.278767 + 0.486904I
b = −0.344151 − 0.878398I
3.59264 − 1.28182I 5.23084 + 0.I
u = 0.742449 + 0.188337I
a = −1.55951 − 1.79492I
b = −0.000176 − 0.473465I
5.66154 − 1.41791I 1.45782 + 3.29961I
u = 0.742449 − 0.188337I
a = −1.55951 + 1.79492I
b = −0.000176 + 0.473465I
5.66154 + 1.41791I 1.45782 − 3.29961I
u = −1.206280 + 0.364725I
a = 2.03871 − 0.29594I
b = 1.30237 − 1.17332I
5.59028 + 4.35769I 0
u = −1.206280 − 0.364725I
a = 2.03871 + 0.29594I
b = 1.30237 + 1.17332I
5.59028 − 4.35769I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.111033 + 0.728216I
a = 0.126141 − 0.073845I
b = −0.716226 − 1.210120I
8.95711 − 0.33313I 8.32553 + 0.37349I
u = −0.111033 − 0.728216I
a = 0.126141 + 0.073845I
b = −0.716226 + 1.210120I
8.95711 + 0.33313I 8.32553 − 0.37349I
u = −0.108439 + 0.723146I
a = 1.007320 − 0.414367I
b = −0.285144 + 0.976899I
3.40759 + 0.78642I 2.69705 − 0.95790I
u = −0.108439 − 0.723146I
a = 1.007320 + 0.414367I
b = −0.285144 − 0.976899I
3.40759 − 0.78642I 2.69705 + 0.95790I
u = −1.252140 + 0.238107I
a = −0.889184 + 0.812716I
b = −0.0532821 + 0.1257370I
−0.24585 + 2.81188I 0
u = −1.252140 − 0.238107I
a = −0.889184 − 0.812716I
b = −0.0532821 − 0.1257370I
−0.24585 − 2.81188I 0
u = −0.076027 + 1.282950I
a = 0.011447 + 0.142790I
b = −0.464789 + 0.521507I
2.33628 + 5.25645I 0
u = −0.076027 − 1.282950I
a = 0.011447 − 0.142790I
b = −0.464789 − 0.521507I
2.33628 − 5.25645I 0
u = 1.275300 + 0.163827I
a = 0.688235 + 1.032460I
b = 0.55547 + 1.93773I
−1.17722 − 3.75603I 0
u = 1.275300 − 0.163827I
a = 0.688235 − 1.032460I
b = 0.55547 − 1.93773I
−1.17722 + 3.75603I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.307530 + 0.476334I
a = 1.246040 − 0.069703I
b = 0.898713 + 1.080480I
−1.76672 − 6.33798I 0
u = 1.307530 − 0.476334I
a = 1.246040 + 0.069703I
b = 0.898713 − 1.080480I
−1.76672 + 6.33798I 0
u = 1.31886 + 0.56606I
a = −1.308320 + 0.259548I
b = −0.787261 − 1.024100I
−0.57560 − 7.98468I 0
u = 1.31886 − 0.56606I
a = −1.308320 − 0.259548I
b = −0.787261 + 1.024100I
−0.57560 + 7.98468I 0
u = 1.37950 + 0.43905I
a = −1.370230 − 0.119084I
b = −1.078280 − 0.817964I
−4.95903 − 6.92588I 0
u = 1.37950 − 0.43905I
a = −1.370230 + 0.119084I
b = −1.078280 + 0.817964I
−4.95903 + 6.92588I 0
u = −1.38281 + 0.43401I
a = −1.61543 + 0.36310I
b = −1.15059 + 1.32568I
−0.50912 + 10.85460I 0
u = −1.38281 − 0.43401I
a = −1.61543 − 0.36310I
b = −1.15059 − 1.32568I
−0.50912 − 10.85460I 0
u = −1.42369 + 0.35800I
a = 0.945721 − 0.055490I
b = 0.859159 − 0.722591I
−3.55361 + 0.99335I 0
u = −1.42369 − 0.35800I
a = 0.945721 + 0.055490I
b = 0.859159 + 0.722591I
−3.55361 − 0.99335I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.36659 + 0.56938I
a = −0.664984 − 0.131205I
b = −0.556829 − 0.042970I
−1.16547 + 2.61720I 0
u = −1.36659 − 0.56938I
a = −0.664984 + 0.131205I
b = −0.556829 + 0.042970I
−1.16547 − 2.61720I 0
u = −1.29894 + 0.73144I
a = 0.745343 + 0.279706I
b = 0.921207 − 0.133086I
−0.26793 + 3.39964I 0
u = −1.29894 − 0.73144I
a = 0.745343 − 0.279706I
b = 0.921207 + 0.133086I
−0.26793 − 3.39964I 0
u = −1.40518 + 0.52888I
a = 1.50498 − 0.17996I
b = 1.09047 − 1.26911I
3.6407 + 17.5515I 0
u = −1.40518 − 0.52888I
a = 1.50498 + 0.17996I
b = 1.09047 + 1.26911I
3.6407 − 17.5515I 0
u = 1.40186 + 0.55296I
a = 1.263570 + 0.016688I
b = 1.12314 + 0.88528I
−2.28030 − 11.49490I 0
u = 1.40186 − 0.55296I
a = 1.263570 − 0.016688I
b = 1.12314 − 0.88528I
−2.28030 + 11.49490I 0
u = 1.53245 + 0.10660I
a = 0.161918 − 0.793466I
b = 0.293938 − 0.826547I
3.82025 − 2.68111I 0
u = 1.53245 − 0.10660I
a = 0.161918 + 0.793466I
b = 0.293938 + 0.826547I
3.82025 + 2.68111I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.44221 + 0.56336I
a = −0.816698 − 0.016295I
b = −0.598691 + 0.733628I
−3.54164 + 5.12239I 0
u = −1.44221 − 0.56336I
a = −0.816698 + 0.016295I
b = −0.598691 − 0.733628I
−3.54164 − 5.12239I 0
u = −0.368779 + 0.110817I
a = −1.79536 − 2.58891I
b = −0.816998 − 0.117532I
1.19636 + 2.45261I −0.717024 − 0.766803I
u = −0.368779 − 0.110817I
a = −1.79536 + 2.58891I
b = −0.816998 + 0.117532I
1.19636 − 2.45261I −0.717024 + 0.766803I
u = 1.38721 + 1.01014I
a = −0.186583 − 0.220285I
b = 0.172084 − 0.445375I
4.73531 + 4.60663I 0
u = 1.38721 − 1.01014I
a = −0.186583 + 0.220285I
b = 0.172084 + 0.445375I
4.73531 − 4.60663I 0
u = −0.178246 + 0.041738I
a = 1.23300 − 3.24629I
b = 0.634063 − 0.439863I
−1.14670 + 1.01760I −7.01569 − 3.15061I
u = −0.178246 − 0.041738I
a = 1.23300 + 3.24629I
b = 0.634063 + 0.439863I
−1.14670 − 1.01760I −7.01569 + 3.15061I
u = −0.0746543 + 0.0952110I
a = 1.77275 + 9.76874I
b = −1.077510 + 0.073135I
5.66062 + 6.42858I 4.18077 − 5.08743I
u = −0.0746543 − 0.0952110I
a = 1.77275 − 9.76874I
b = −1.077510 − 0.073135I
5.66062 − 6.42858I 4.18077 + 5.08743I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.0762905
a = −9.34370
b = 1.33912
0.594707 14.6100
14
II.
I
u
2
= h−2.18 × 10
7
u
18
+ 6.75 × 10
6
u
17
+ · · · + 4.20 × 10
6
b − 8.09 × 10
7
, 2.16 ×
10
6
u
18
−6.45×10
5
u
17
+· · · +8.57×10
4
a+7.20×10
6
, u
19
−7u
17
+· · · +4u +1i
(i) Arc colorings
a
8
=
0
u
a
11
=
1
0
a
1
=
1
u
2
a
4
=
−25.1424u
18
+ 7.52449u
17
+ ··· − 55.3865u − 84.0394
5.17913u
18
− 1.60597u
17
+ ··· + 15.0703u + 19.2720
a
3
=
−17.0714u
18
+ 5.18151u
17
+ ··· − 35.3606u − 57.2429
6.31136u
18
− 1.60760u
17
+ ··· + 16.3713u + 21.6150
a
9
=
−13.3715u
18
+ 4.54857u
17
+ ··· − 35.2371u − 43.3166
1.94298u
18
− 0.557214u
17
+ ··· + 8.03710u + 6.25202
a
7
=
u
u
a
5
=
−22.4896u
18
+ 6.87259u
17
+ ··· − 49.1862u − 74.9089
7.83195u
18
− 2.25787u
17
+ ··· + 21.2706u + 28.4025
a
2
=
−26.8720u
18
+ 8.45143u
17
+ ··· − 65.5699u − 88.5854
8.06329u
18
− 2.48624u
17
+ ··· + 20.4130u + 24.7635
a
10
=
3.55883u
18
− 1.36223u
17
+ ··· + 19.7553u + 11.9319
1.28891u
18
− 0.0106904u
17
+ ··· − 1.10453u + 5.13136
a
6
=
−9.79070u
18
+ 3.22584u
17
+ ··· − 31.9356u − 28.8417
−1.34165u
18
+ 0.268330u
17
+ ··· + 3.99462u − 3.76913
a
6
=
−9.79070u
18
+ 3.22584u
17
+ ··· − 31.9356u − 28.8417
−1.34165u
18
+ 0.268330u
17
+ ··· + 3.99462u − 3.76913
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
15291933
4200133
u
18
+
12321059
4200133
u
17
+ ··· −
152094849
4200133
u −
21932593
4200133
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
19
− u
17
+ ··· − 6u + 1
c
2
u
19
− 7u
18
+ ··· + 3u − 1
c
3
u
19
+ 3u
18
+ ··· + 2u + 1
c
4
u
19
+ 2u
18
+ ··· + u − 1
c
5
u
19
+ 7u
18
+ ··· + 3u + 1
c
6
u
19
− u
18
+ ··· + 5u + 1
c
7
u
19
− 7u
17
+ ··· + 4u − 1
c
8
u
19
+ 2u
17
+ ··· − 4u − 1
c
9
u
19
+ u
18
+ ··· + 5u − 1
c
10
u
19
+ u
18
+ ··· − 3u − 1
c
11
u
19
− 7u
17
+ ··· + 4u + 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
19
− 2y
18
+ ··· + 46y −1
c
2
, c
5
y
19
+ 9y
18
+ ··· − 15y −1
c
3
y
19
− 11y
18
+ ··· − 4y −1
c
4
y
19
− 4y
18
+ ··· + 13y −1
c
6
, c
9
y
19
− 15y
18
+ ··· + 31y −1
c
7
, c
11
y
19
− 14y
18
+ ··· + 34y −1
c
8
y
19
+ 4y
18
+ ··· + 20y −1
c
10
y
19
− 5y
18
+ ··· + 7y −1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.902050 + 0.440922I
a = 1.29528 + 0.89523I
b = 0.885527 + 0.260151I
1.07481 + 3.59303I 1.85303 − 6.27936I
u = −0.902050 − 0.440922I
a = 1.29528 − 0.89523I
b = 0.885527 − 0.260151I
1.07481 − 3.59303I 1.85303 + 6.27936I
u = 1.046970 + 0.221511I
a = 2.62393 − 0.46352I
b = 1.231950 + 0.460773I
4.18748 − 7.46692I 0.68601 + 7.12186I
u = 1.046970 − 0.221511I
a = 2.62393 + 0.46352I
b = 1.231950 − 0.460773I
4.18748 + 7.46692I 0.68601 − 7.12186I
u = 0.181662 + 1.102620I
a = 0.045455 + 0.295621I
b = 0.374502 − 0.679785I
1.52252 + 1.49664I −3.89516 − 6.49895I
u = 0.181662 − 1.102620I
a = 0.045455 − 0.295621I
b = 0.374502 + 0.679785I
1.52252 − 1.49664I −3.89516 + 6.49895I
u = 1.15625
a = −2.93116
b = −1.75912
−2.00951 6.42100
u = −1.20332
a = −2.14423
b = −1.89620
−4.29705 −11.5820
u = −1.190800 + 0.183606I
a = 0.356038 − 0.628895I
b = 0.22938 − 1.46060I
−2.76558 + 2.81350I −6.40568 − 3.99689I
u = −1.190800 − 0.183606I
a = 0.356038 + 0.628895I
b = 0.22938 + 1.46060I
−2.76558 − 2.81350I −6.40568 + 3.99689I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.074980 + 0.774345I
a = 0.107142 − 0.133196I
b = −0.376064 + 0.262990I
4.37500 + 4.45907I −2.91018 − 2.82289I
u = 1.074980 − 0.774345I
a = 0.107142 + 0.133196I
b = −0.376064 − 0.262990I
4.37500 − 4.45907I −2.91018 + 2.82289I
u = 1.34582 + 0.53742I
a = −1.229490 + 0.069469I
b = −0.819545 − 1.038970I
−2.28215 − 7.33988I −2.94229 + 7.63490I
u = 1.34582 − 0.53742I
a = −1.229490 − 0.069469I
b = −0.819545 + 1.038970I
−2.28215 + 7.33988I −2.94229 − 7.63490I
u = 0.396490
a = −0.627182
b = 1.04929
0.209729 −6.87110
u = −1.43107 + 0.74517I
a = −0.566803 − 0.131223I
b = −0.593080 + 0.191455I
−1.39573 + 2.97014I −10.6875 − 11.6449I
u = −1.43107 − 0.74517I
a = −0.566803 + 0.131223I
b = −0.593080 − 0.191455I
−1.39573 − 2.97014I −10.6875 + 11.6449I
u = −0.300228 + 0.011192I
a = −1.28027 − 4.35057I
b = −0.129658 + 1.005580I
6.55674 − 0.70090I 7.81789 − 0.38025I
u = −0.300228 − 0.011192I
a = −1.28027 + 4.35057I
b = −0.129658 − 1.005580I
6.55674 + 0.70090I 7.81789 + 0.38025I
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
19
− u
17
+ ··· − 6u + 1)(u
91
− 5u
90
+ ··· + 244460u − 108400)
c
2
(u
19
− 7u
18
+ ··· + 3u − 1)(u
91
+ 6u
90
+ ··· + 757u + 1751)
c
3
(u
19
+ 3u
18
+ ··· + 2u + 1)(u
91
− 10u
90
+ ··· − 36u + 1)
c
4
(u
19
+ 2u
18
+ ··· + u − 1)(u
91
+ 9u
90
+ ··· + 25u + 1)
c
5
(u
19
+ 7u
18
+ ··· + 3u + 1)(u
91
+ 6u
90
+ ··· + 757u + 1751)
c
6
(u
19
− u
18
+ ··· + 5u + 1)(u
91
− 2u
90
+ ··· − 37u + 1117)
c
7
(u
19
− 7u
17
+ ··· + 4u − 1)(u
91
+ u
90
+ ··· − 38u − 1)
c
8
(u
19
+ 2u
17
+ ··· − 4u − 1)(u
91
+ u
90
+ ··· + 80u + 37)
c
9
(u
19
+ u
18
+ ··· + 5u − 1)(u
91
− 2u
90
+ ··· − 37u + 1117)
c
10
(u
19
+ u
18
+ ··· − 3u − 1)(u
91
+ 2u
90
+ ··· − 46u + 4)
c
11
(u
19
− 7u
17
+ ··· + 4u + 1)(u
91
+ u
90
+ ··· − 38u − 1)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
19
− 2y
18
+ ··· + 46y −1)
· (y
91
− 37y
90
+ ··· + 248464929200y −11750560000)
c
2
, c
5
(y
19
+ 9y
18
+ ··· − 15y −1)
· (y
91
+ 58y
90
+ ··· − 43405067y −3066001)
c
3
(y
19
− 11y
18
+ ··· − 4y −1)(y
91
− 10y
90
+ ··· + 128y −1)
c
4
(y
19
− 4y
18
+ ··· + 13y −1)(y
91
− 3y
90
+ ··· + 353y −1)
c
6
, c
9
(y
19
− 15y
18
+ ··· + 31y −1)
· (y
91
− 74y
90
+ ··· − 20772597y −1247689)
c
7
, c
11
(y
19
− 14y
18
+ ··· + 34y −1)(y
91
− 65y
90
+ ··· + 218y −1)
c
8
(y
19
+ 4y
18
+ ··· + 20y −1)(y
91
+ 13y
90
+ ··· − 186888y −1369)
c
10
(y
19
− 5y
18
+ ··· + 7y −1)(y
91
+ 48y
89
+ ··· − 1780y −16)
21
