11a
269
(K11a
269
)
A knot diagram
1
Linearized knot diagam
10 9 1 8 2 3 11 5 6 4 7
Solving Sequence
7,11 4,8
5 1 3 6 10 2 9
c
7
c
4
c
11
c
3
c
6
c
10
c
1
c
9
c
2
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.49185 × 10
277
u
94
− 2.89200 × 10
277
u
93
+ ··· + 3.55034 × 10
279
b + 8.38424 × 10
277
,
9.85122 × 10
279
u
94
+ 1.40469 × 10
279
u
93
+ ··· + 3.90538 × 10
280
a − 1.47273 × 10
282
,
u
95
+ 35u
93
+ ··· − 304u + 31i
I
u
2
= h−7910376u
19
+ 4613793u
18
+ ··· + 11691787b + 11999209,
5476396u
19
− 5762435u
18
+ ··· + 11691787a − 44515827, u
20
− u
19
+ ··· − 4u − 1i
* 2 irreducible components of dim
C
= 0, with total 115 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−4.49 × 10
277
u
94
− 2.89 × 10
277
u
93
+ · · · + 3.55 × 10
279
b + 8.38 ×
10
277
, 9.85 × 10
279
u
94
+ 1.40 × 10
279
u
93
+ · · · + 3.91 × 10
280
a − 1.47 ×
10
282
, u
95
+ 35u
93
+ · · · − 304u + 31i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
4
=
−0.252248u
94
− 0.0359681u
93
+ ··· − 187.834u + 37.7103
0.0126519u
94
+ 0.00814570u
93
+ ··· + 6.14641u − 0.0236153
a
8
=
1
−u
2
a
5
=
−0.223306u
94
+ 0.0151371u
93
+ ··· − 190.866u + 36.6189
0.0215402u
94
+ 0.0658023u
93
+ ··· − 8.49240u + 1.56065
a
1
=
u
u
a
3
=
−0.228927u
94
− 0.00653034u
93
+ ··· − 182.635u + 36.3428
0.0359728u
94
+ 0.0375835u
93
+ ··· + 11.3451u − 1.39114
a
6
=
0.132211u
94
+ 0.0353042u
93
+ ··· + 52.2661u − 13.3444
−0.0286481u
94
− 0.0274990u
93
+ ··· − 27.6589u + 3.67427
a
10
=
−0.588967u
94
− 0.122495u
93
+ ··· − 451.158u + 79.6285
−0.0215088u
94
+ 0.00726948u
93
+ ··· − 43.9334u + 8.03715
a
2
=
−1.04919u
94
− 0.197484u
93
+ ··· − 719.135u + 125.759
−0.278898u
94
− 0.00407899u
93
+ ··· − 166.161u + 28.6179
a
9
=
−0.332719u
94
− 0.0981982u
93
+ ··· − 254.739u + 49.5570
0.0297838u
94
+ 0.00801573u
93
+ ··· + 7.57210u + 0.539403
a
9
=
−0.332719u
94
− 0.0981982u
93
+ ··· − 254.739u + 49.5570
0.0297838u
94
+ 0.00801573u
93
+ ··· + 7.57210u + 0.539403
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.425242u
94
− 0.172495u
93
+ ··· − 151.920u + 18.7514
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
95
+ 8u
94
+ ··· − 1011270u − 170729
c
2
u
95
+ 3u
94
+ ··· + 6615u − 451
c
3
u
95
+ 6u
94
+ ··· + 2006u + 1867
c
4
, c
8
u
95
+ 5u
94
+ ··· + 290u + 31
c
5
u
95
− u
94
+ ··· − 4620u − 413
c
6
u
95
− 2u
94
+ ··· − 4406294u − 7707151
c
7
, c
11
u
95
+ 35u
93
+ ··· − 304u − 31
c
9
u
95
+ u
94
+ ··· − 13u − 1
c
10
u
95
− 23u
93
+ ··· − 51128u + 2537
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
95
+ 32y
94
+ ··· − 975808808676y −29148391441
c
2
y
95
− 33y
94
+ ··· + 5314083y −203401
c
3
y
95
− 34y
94
+ ··· + 99285844y −3485689
c
4
, c
8
y
95
− 89y
94
+ ··· − 142386y −961
c
5
y
95
+ 23y
94
+ ··· − 4607694y −170569
c
6
y
95
− 58y
94
+ ··· + 1536043799096208y −59400176536801
c
7
, c
11
y
95
+ 70y
94
+ ··· + 1958y −961
c
9
y
95
+ 11y
94
+ ··· − 61y −1
c
10
y
95
− 46y
94
+ ··· + 1721708004y −6436369
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.203044 + 0.917129I
a = −0.072460 + 0.599163I
b = −1.83757 + 1.44426I
−4.56432 + 0.25339I 0
u = 0.203044 − 0.917129I
a = −0.072460 − 0.599163I
b = −1.83757 − 1.44426I
−4.56432 − 0.25339I 0
u = 0.188818 + 1.046850I
a = 0.353704 + 1.363350I
b = 0.82428 + 2.06012I
−1.00596 + 4.93534I 0
u = 0.188818 − 1.046850I
a = 0.353704 − 1.363350I
b = 0.82428 − 2.06012I
−1.00596 − 4.93534I 0
u = −0.841903 + 0.379537I
a = −1.46081 − 0.05491I
b = −0.451611 − 0.818600I
−3.29557 + 3.88851I 0
u = −0.841903 − 0.379537I
a = −1.46081 + 0.05491I
b = −0.451611 + 0.818600I
−3.29557 − 3.88851I 0
u = 0.174169 + 0.902857I
a = 0.014969 − 0.537441I
b = −0.646019 − 1.176240I
0.131344 − 1.193480I 0
u = 0.174169 − 0.902857I
a = 0.014969 + 0.537441I
b = −0.646019 + 1.176240I
0.131344 + 1.193480I 0
u = 0.781278 + 0.449701I
a = 0.482897 − 1.147300I
b = 0.258543 + 0.080747I
−3.83969 + 3.68020I 0
u = 0.781278 − 0.449701I
a = 0.482897 + 1.147300I
b = 0.258543 − 0.080747I
−3.83969 − 3.68020I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.147761 + 1.110270I
a = −0.464772 + 0.570801I
b = −0.45030 + 1.94664I
−4.51152 + 0.64108I 0
u = 0.147761 − 1.110270I
a = −0.464772 − 0.570801I
b = −0.45030 − 1.94664I
−4.51152 − 0.64108I 0
u = 0.873588 + 0.053551I
a = −0.864438 − 0.922058I
b = 0.277114 − 0.192656I
−0.90223 − 7.26936I 0. + 7.70751I
u = 0.873588 − 0.053551I
a = −0.864438 + 0.922058I
b = 0.277114 + 0.192656I
−0.90223 + 7.26936I 0. − 7.70751I
u = −0.853098 + 0.138319I
a = 0.467239 − 0.646604I
b = 0.227419 + 0.058231I
2.42910 − 0.66447I 0
u = −0.853098 − 0.138319I
a = 0.467239 + 0.646604I
b = 0.227419 − 0.058231I
2.42910 + 0.66447I 0
u = −0.214908 + 1.153540I
a = 0.207367 − 0.595525I
b = 0.49768 − 2.75342I
−4.42358 − 0.93929I 0
u = −0.214908 − 1.153540I
a = 0.207367 + 0.595525I
b = 0.49768 + 2.75342I
−4.42358 + 0.93929I 0
u = −0.410035 + 1.106710I
a = 0.19753 + 1.95483I
b = −0.21279 + 2.51734I
−5.58860 − 8.53903I 0
u = −0.410035 − 1.106710I
a = 0.19753 − 1.95483I
b = −0.21279 − 2.51734I
−5.58860 + 8.53903I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.065053 + 1.185530I
a = −1.088310 + 0.080842I
b = −0.004477 + 0.558757I
−5.52730 + 1.54119I 0
u = 0.065053 − 1.185530I
a = −1.088310 − 0.080842I
b = −0.004477 − 0.558757I
−5.52730 − 1.54119I 0
u = 1.182220 + 0.171664I
a = −0.825483 + 0.487836I
b = −0.135537 + 0.091551I
−6.11822 + 3.45479I 0
u = 1.182220 − 0.171664I
a = −0.825483 − 0.487836I
b = −0.135537 − 0.091551I
−6.11822 − 3.45479I 0
u = 0.015472 + 1.211050I
a = 2.13863 − 1.20659I
b = 1.76210 − 1.71409I
−8.90213 + 6.92952I 0
u = 0.015472 − 1.211050I
a = 2.13863 + 1.20659I
b = 1.76210 + 1.71409I
−8.90213 − 6.92952I 0
u = −0.300875 + 1.186360I
a = −1.056320 − 0.895869I
b = −0.87032 − 1.56886I
−4.85814 − 5.15679I 0
u = −0.300875 − 1.186360I
a = −1.056320 + 0.895869I
b = −0.87032 + 1.56886I
−4.85814 + 5.15679I 0
u = −0.597468 + 0.471809I
a = 0.387239 − 1.071350I
b = 0.447471 − 0.089097I
0.16031 − 2.08239I 3.28409 + 5.43220I
u = −0.597468 − 0.471809I
a = 0.387239 + 1.071350I
b = 0.447471 + 0.089097I
0.16031 + 2.08239I 3.28409 − 5.43220I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.373977 + 1.191530I
a = −0.508278 − 1.136990I
b = −0.234912 − 1.231560I
−5.82363 + 4.27424I 0
u = 0.373977 − 1.191530I
a = −0.508278 + 1.136990I
b = −0.234912 + 1.231560I
−5.82363 − 4.27424I 0
u = 0.126110 + 1.254030I
a = 1.06317 + 1.57024I
b = 0.78981 + 2.36764I
−9.12386 + 3.30593I 0
u = 0.126110 − 1.254030I
a = 1.06317 − 1.57024I
b = 0.78981 − 2.36764I
−9.12386 − 3.30593I 0
u = −1.253650 + 0.190827I
a = 0.743113 + 0.527927I
b = 0.0522154 − 0.1040810I
−6.46116 − 11.90460I 0
u = −1.253650 − 0.190827I
a = 0.743113 − 0.527927I
b = 0.0522154 + 0.1040810I
−6.46116 + 11.90460I 0
u = 0.015327 + 1.271330I
a = 0.422614 + 1.071250I
b = −0.64580 + 2.04830I
−9.14776 − 1.14213I 0
u = 0.015327 − 1.271330I
a = 0.422614 − 1.071250I
b = −0.64580 − 2.04830I
−9.14776 + 1.14213I 0
u = −0.377285 + 1.214920I
a = 0.289098 − 0.998400I
b = 0.47140 − 1.69716I
−0.92977 − 3.70164I 0
u = −0.377285 − 1.214920I
a = 0.289098 + 0.998400I
b = 0.47140 + 1.69716I
−0.92977 + 3.70164I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.288570 + 0.007471I
a = −0.818723 − 0.198916I
b = 0.042763 + 0.289683I
−5.36768 − 2.13610I 0
u = −1.288570 − 0.007471I
a = −0.818723 + 0.198916I
b = 0.042763 − 0.289683I
−5.36768 + 2.13610I 0
u = 0.096861 + 1.285190I
a = −1.29489 − 1.50125I
b = −1.21097 − 2.02058I
−9.26018 + 1.58608I 0
u = 0.096861 − 1.285190I
a = −1.29489 + 1.50125I
b = −1.21097 + 2.02058I
−9.26018 − 1.58608I 0
u = 0.318977 + 1.271910I
a = −0.049631 + 0.924265I
b = 0.55142 + 2.17316I
−5.15661 + 5.20956I 0
u = 0.318977 − 1.271910I
a = −0.049631 − 0.924265I
b = 0.55142 − 2.17316I
−5.15661 − 5.20956I 0
u = 0.475645 + 0.496446I
a = −1.02531 − 1.03413I
b = 0.272472 + 0.084254I
1.39130 + 4.10735I 0.47882 − 9.23280I
u = 0.475645 − 0.496446I
a = −1.02531 + 1.03413I
b = 0.272472 − 0.084254I
1.39130 − 4.10735I 0.47882 + 9.23280I
u = −0.092319 + 1.316330I
a = 0.312500 − 0.740469I
b = −1.02183 − 1.77722I
−10.61240 − 8.00084I 0
u = −0.092319 − 1.316330I
a = 0.312500 + 0.740469I
b = −1.02183 + 1.77722I
−10.61240 + 8.00084I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.403900 + 1.270130I
a = −0.297287 − 0.873496I
b = −0.68395 − 2.26832I
−4.71304 + 11.85200I 0
u = 0.403900 − 1.270130I
a = −0.297287 + 0.873496I
b = −0.68395 + 2.26832I
−4.71304 − 11.85200I 0
u = 0.646591
a = −0.343975
b = −1.02884
−2.63135 −2.77190
u = −0.190459 + 0.613907I
a = 0.478623 − 0.574775I
b = −0.017788 − 0.619736I
−0.082881 − 1.263940I −0.49456 + 4.76991I
u = −0.190459 − 0.613907I
a = 0.478623 + 0.574775I
b = −0.017788 + 0.619736I
−0.082881 + 1.263940I −0.49456 − 4.76991I
u = −0.218133 + 1.353350I
a = −0.248608 + 0.800951I
b = −0.86184 + 1.96783I
−5.40102 − 4.78928I 0
u = −0.218133 − 1.353350I
a = −0.248608 − 0.800951I
b = −0.86184 − 1.96783I
−5.40102 + 4.78928I 0
u = 0.559623 + 0.272141I
a = −0.294821 − 0.389565I
b = −1.142410 + 0.129341I
−2.66399 − 0.03648I −5.52133 − 0.36616I
u = 0.559623 − 0.272141I
a = −0.294821 + 0.389565I
b = −1.142410 − 0.129341I
−2.66399 + 0.03648I −5.52133 + 0.36616I
u = 0.282479 + 1.349510I
a = 0.555402 − 0.636749I
b = 0.606958 − 1.255200I
−5.51333 − 3.00258I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.282479 − 1.349510I
a = 0.555402 + 0.636749I
b = 0.606958 + 1.255200I
−5.51333 + 3.00258I 0
u = 0.605423 + 0.041300I
a = 1.069190 + 0.701968I
b = −0.402539 − 0.202573I
−1.33339 − 1.63852I −3.10982 + 5.30448I
u = 0.605423 − 0.041300I
a = 1.069190 − 0.701968I
b = −0.402539 + 0.202573I
−1.33339 + 1.63852I −3.10982 − 5.30448I
u = −0.453504 + 1.318710I
a = −0.051826 + 0.472508I
b = −0.451784 + 1.214970I
−2.17172 − 5.56944I 0
u = −0.453504 − 1.318710I
a = −0.051826 − 0.472508I
b = −0.451784 − 1.214970I
−2.17172 + 5.56944I 0
u = −1.40514
a = 0.0463063
b = 0.207522
2.64340 0
u = −0.10693 + 1.42071I
a = −0.217725 + 0.645099I
b = 0.78436 + 1.54264I
−9.79145 + 0.88028I 0
u = −0.10693 − 1.42071I
a = −0.217725 − 0.645099I
b = 0.78436 − 1.54264I
−9.79145 − 0.88028I 0
u = −0.566959 + 0.058673I
a = 1.31839 − 1.05059I
b = −0.369297 − 0.610238I
−1.32796 − 2.03593I −2.81091 + 4.02942I
u = −0.566959 − 0.058673I
a = 1.31839 + 1.05059I
b = −0.369297 + 0.610238I
−1.32796 + 2.03593I −2.81091 − 4.02942I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.240869 + 0.488806I
a = 2.31131 − 0.20191I
b = 0.279330 − 0.414621I
0.77353 − 2.77220I 4.28354 − 5.94685I
u = 0.240869 − 0.488806I
a = 2.31131 + 0.20191I
b = 0.279330 + 0.414621I
0.77353 + 2.77220I 4.28354 + 5.94685I
u = 0.268380 + 0.438809I
a = 0.07544 + 1.52989I
b = −1.41741 − 0.11606I
−4.35844 + 0.30967I −6.81908 + 1.81849I
u = 0.268380 − 0.438809I
a = 0.07544 − 1.52989I
b = −1.41741 + 0.11606I
−4.35844 − 0.30967I −6.81908 − 1.81849I
u = 0.48430 + 1.43457I
a = −0.316264 − 1.135980I
b = −0.47266 − 2.14699I
−11.2265 + 9.2254I 0
u = 0.48430 − 1.43457I
a = −0.316264 + 1.135980I
b = −0.47266 + 2.14699I
−11.2265 − 9.2254I 0
u = 0.36287 + 1.48678I
a = 0.491371 + 1.185430I
b = 0.93702 + 2.16990I
−10.01020 + 8.00571I 0
u = 0.36287 − 1.48678I
a = 0.491371 − 1.185430I
b = 0.93702 − 2.16990I
−10.01020 − 8.00571I 0
u = −0.51125 + 1.46636I
a = 0.278147 − 1.152910I
b = 0.64935 − 2.20744I
−11.7151 − 18.0173I 0
u = −0.51125 − 1.46636I
a = 0.278147 + 1.152910I
b = 0.64935 + 2.20744I
−11.7151 + 18.0173I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.56684 + 1.46671I
a = −0.048487 + 1.043460I
b = −0.42856 + 2.08566I
−10.12190 − 8.69430I 0
u = −0.56684 − 1.46671I
a = −0.048487 − 1.043460I
b = −0.42856 − 2.08566I
−10.12190 + 8.69430I 0
u = 0.62302 + 1.45703I
a = 0.082524 − 0.808481I
b = 0.10092 − 1.42646I
−10.15870 + 3.29748I 0
u = 0.62302 − 1.45703I
a = 0.082524 + 0.808481I
b = 0.10092 + 1.42646I
−10.15870 − 3.29748I 0
u = −0.54127 + 1.51607I
a = −0.075239 + 0.699952I
b = 0.14904 + 1.52438I
−10.30710 − 4.55633I 0
u = −0.54127 − 1.51607I
a = −0.075239 − 0.699952I
b = 0.14904 − 1.52438I
−10.30710 + 4.55633I 0
u = 0.50692 + 1.64210I
a = 0.373015 + 0.706230I
b = 0.68276 + 1.30103I
−7.36395 + 8.25849I 0
u = 0.50692 − 1.64210I
a = 0.373015 − 0.706230I
b = 0.68276 − 1.30103I
−7.36395 − 8.25849I 0
u = −0.68927 + 1.59442I
a = −0.022023 − 0.575323I
b = −0.178238 − 1.123970I
−10.59750 + 4.47338I 0
u = −0.68927 − 1.59442I
a = −0.022023 + 0.575323I
b = −0.178238 + 1.123970I
−10.59750 − 4.47338I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.240426 + 0.013081I
a = 4.73836 − 2.19515I
b = 0.970759 + 0.052525I
−5.23639 + 1.80305I −13.23540 − 2.61610I
u = 0.240426 − 0.013081I
a = 4.73836 + 2.19515I
b = 0.970759 − 0.052525I
−5.23639 − 1.80305I −13.23540 + 2.61610I
u = −0.113203 + 0.199758I
a = 4.88859 + 2.62634I
b = 1.38423 + 0.68029I
−5.86002 − 7.03617I −4.37170 + 2.64890I
u = −0.113203 − 0.199758I
a = 4.88859 − 2.62634I
b = 1.38423 − 0.68029I
−5.86002 + 7.03617I −4.37170 − 2.64890I
u = 1.90140
a = 0.342781
b = 0.0796956
−0.999308 0
14
II.
I
u
2
= h−7.91 × 10
6
u
19
+ 4.61 × 10
6
u
18
+ · · · + 1.17 × 10
7
b + 1.20 × 10
7
, 5.48 ×
10
6
u
19
− 5.76 × 10
6
u
18
+ · · · + 1.17 × 10
7
a − 4.45 × 10
7
, u
20
− u
19
+ · · · − 4u − 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
4
=
−0.468397u
19
+ 0.492862u
18
+ ··· + 4.89427u + 3.80744
0.676575u
19
− 0.394618u
18
+ ··· − 1.65529u − 1.02629
a
8
=
1
−u
2
a
5
=
−0.821993u
19
+ 0.309222u
18
+ ··· + 6.92010u + 4.80927
0.401921u
19
− 0.561807u
18
+ ··· + 0.847245u − 0.489058
a
1
=
u
u
a
3
=
−0.373674u
19
− 0.181287u
18
+ ··· + 7.06921u + 4.06494
0.771298u
19
− 1.06877u
18
+ ··· + 0.519647u − 0.768802
a
6
=
−1.30884u
19
+ 2.00891u
18
+ ··· − 0.969911u + 2.30635
1.14560u
19
− 1.15803u
18
+ ··· − 6.63837u − 3.38131
a
10
=
−1.05458u
19
+ 0.911429u
18
+ ··· + 6.99872u + 0.711878
−1.29428u
19
+ 1.47306u
18
+ ··· + 4.37334u + 1.28812
a
2
=
0.496890u
19
− 0.549726u
18
+ ··· + 1.03711u + 1.84342
0.429880u
19
− 0.586122u
18
+ ··· + 1.23691u − 0.299107
a
9
=
0.625281u
19
+ 0.539416u
18
+ ··· − 9.84448u − 3.89682
−0.311727u
19
− 0.463691u
18
+ ··· + 2.01085u + 0.898380
a
9
=
0.625281u
19
+ 0.539416u
18
+ ··· − 9.84448u − 3.89682
−0.311727u
19
− 0.463691u
18
+ ··· + 2.01085u + 0.898380
(ii) Obstruction class = 1
(iii) Cusp Shapes =
57195566
11691787
u
19
+
51163739
11691787
u
18
+ ··· −
440318058
11691787
u −
51462026
11691787
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
20
− 3u
19
+ ··· − 8u + 3
c
2
u
20
− 6u
18
+ ··· + 7u + 1
c
3
u
20
+ 3u
19
+ ··· + 10u + 1
c
4
u
20
− 4u
19
+ ··· − 8u + 1
c
5
u
20
+ 2u
19
+ ··· + 4u − 1
c
6
u
20
− 3u
19
+ ··· − 24u − 11
c
7
u
20
− u
19
+ ··· − 4u − 1
c
8
u
20
+ 4u
19
+ ··· + 8u + 1
c
9
u
20
+ 6u
19
+ ··· − u − 1
c
10
u
20
+ u
19
+ ··· + 8u − 1
c
11
u
20
+ u
19
+ ··· + 4u − 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
20
− 7y
19
+ ··· + 74y + 9
c
2
y
20
− 12y
19
+ ··· − 21y + 1
c
3
y
20
− 9y
19
+ ··· − 30y + 1
c
4
, c
8
y
20
− 20y
19
+ ··· − 16y + 1
c
5
y
20
+ 4y
19
+ ··· + 8y + 1
c
6
y
20
− 13y
19
+ ··· − 906y + 121
c
7
, c
11
y
20
+ 11y
19
+ ··· − 40y
2
+ 1
c
9
y
20
+ 182y
18
+ ··· + 7y + 1
c
10
y
20
− 9y
19
+ ··· − 30y + 1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.313088 + 0.937306I
a = 1.03088 + 1.38147I
b = 1.28593 + 2.05825I
−6.68894 − 7.90509I −9.56805 + 7.40665I
u = −0.313088 − 0.937306I
a = 1.03088 − 1.38147I
b = 1.28593 − 2.05825I
−6.68894 + 7.90509I −9.56805 − 7.40665I
u = 0.118243 + 0.953129I
a = −0.094690 + 0.353708I
b = −2.46516 + 2.88157I
−4.72545 + 0.21235I −55.8595 + 30.4757I
u = 0.118243 − 0.953129I
a = −0.094690 − 0.353708I
b = −2.46516 − 2.88157I
−4.72545 − 0.21235I −55.8595 − 30.4757I
u = 0.877103 + 0.078559I
a = −1.152770 + 0.641823I
b = −0.306431 − 0.238613I
−4.08582 + 2.63867I −5.42623 − 3.15877I
u = 0.877103 − 0.078559I
a = −1.152770 − 0.641823I
b = −0.306431 + 0.238613I
−4.08582 − 2.63867I −5.42623 + 3.15877I
u = 0.140448 + 1.313910I
a = −0.429979 − 1.161250I
b = 0.04003 − 1.93062I
−8.44781 + 0.56098I −9.42748 + 0.13066I
u = 0.140448 − 1.313910I
a = −0.429979 + 1.161250I
b = 0.04003 + 1.93062I
−8.44781 − 0.56098I −9.42748 − 0.13066I
u = −0.305250 + 1.285790I
a = −0.101129 − 0.868602I
b = 0.38835 − 1.58017I
−3.03393 − 5.03737I −5.53695 + 5.83797I
u = −0.305250 − 1.285790I
a = −0.101129 + 0.868602I
b = 0.38835 + 1.58017I
−3.03393 + 5.03737I −5.53695 − 5.83797I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.059755 + 1.364590I
a = 1.119730 − 0.165089I
b = 0.706696 + 0.068568I
−8.69484 + 5.65123I −8.48652 − 3.86530I
u = −0.059755 − 1.364590I
a = 1.119730 + 0.165089I
b = 0.706696 − 0.068568I
−8.69484 − 5.65123I −8.48652 + 3.86530I
u = −1.44965
a = 0.201892
b = −0.0437006
2.55368 −46.5460
u = −0.136514 + 0.476820I
a = 2.25135 + 0.55765I
b = −0.002319 + 0.630951I
0.56563 + 3.09674I −6.76716 − 10.88893I
u = −0.136514 − 0.476820I
a = 2.25135 − 0.55765I
b = −0.002319 − 0.630951I
0.56563 − 3.09674I −6.76716 + 10.88893I
u = 0.44799 + 1.47346I
a = −0.297719 − 1.096590I
b = −0.64933 − 2.04193I
−9.26140 + 7.75496I −5.22152 − 4.05634I
u = 0.44799 − 1.47346I
a = −0.297719 + 1.096590I
b = −0.64933 + 2.04193I
−9.26140 − 7.75496I −5.22152 + 4.05634I
u = −0.410452 + 0.057203I
a = 0.42747 + 1.47076I
b = −1.185890 − 0.012590I
−2.58763 − 0.76692I −4.26714 + 7.68799I
u = −0.410452 − 0.057203I
a = 0.42747 − 1.47076I
b = −1.185890 + 0.012590I
−2.58763 + 0.76692I −4.26714 − 7.68799I
u = 1.73221
a = 0.291826
b = 0.419942
−0.749607 13.6670
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
20
− 3u
19
+ ··· − 8u + 3)(u
95
+ 8u
94
+ ··· − 1011270u − 170729)
c
2
(u
20
− 6u
18
+ ··· + 7u + 1)(u
95
+ 3u
94
+ ··· + 6615u − 451)
c
3
(u
20
+ 3u
19
+ ··· + 10u + 1)(u
95
+ 6u
94
+ ··· + 2006u + 1867)
c
4
(u
20
− 4u
19
+ ··· − 8u + 1)(u
95
+ 5u
94
+ ··· + 290u + 31)
c
5
(u
20
+ 2u
19
+ ··· + 4u − 1)(u
95
− u
94
+ ··· − 4620u − 413)
c
6
(u
20
− 3u
19
+ ··· − 24u − 11)
· (u
95
− 2u
94
+ ··· − 4406294u − 7707151)
c
7
(u
20
− u
19
+ ··· − 4u − 1)(u
95
+ 35u
93
+ ··· − 304u − 31)
c
8
(u
20
+ 4u
19
+ ··· + 8u + 1)(u
95
+ 5u
94
+ ··· + 290u + 31)
c
9
(u
20
+ 6u
19
+ ··· − u − 1)(u
95
+ u
94
+ ··· − 13u − 1)
c
10
(u
20
+ u
19
+ ··· + 8u − 1)(u
95
− 23u
93
+ ··· − 51128u + 2537)
c
11
(u
20
+ u
19
+ ··· + 4u − 1)(u
95
+ 35u
93
+ ··· − 304u − 31)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
20
− 7y
19
+ ··· + 74y + 9)
· (y
95
+ 32y
94
+ ··· − 975808808676y −29148391441)
c
2
(y
20
− 12y
19
+ ··· − 21y + 1)
· (y
95
− 33y
94
+ ··· + 5314083y −203401)
c
3
(y
20
− 9y
19
+ ··· − 30y + 1)
· (y
95
− 34y
94
+ ··· + 99285844y −3485689)
c
4
, c
8
(y
20
− 20y
19
+ ··· − 16y + 1)(y
95
− 89y
94
+ ··· − 142386y −961)
c
5
(y
20
+ 4y
19
+ ··· + 8y + 1)(y
95
+ 23y
94
+ ··· − 4607694y −170569)
c
6
(y
20
− 13y
19
+ ··· − 906y + 121)
· (y
95
− 58y
94
+ ··· + 1536043799096208y −59400176536801)
c
7
, c
11
(y
20
+ 11y
19
+ ··· − 40y
2
+ 1)(y
95
+ 70y
94
+ ··· + 1958y −961)
c
9
(y
20
+ 182y
18
+ ··· + 7y + 1)(y
95
+ 11y
94
+ ··· − 61y −1)
c
10
(y
20
− 9y
19
+ ··· − 30y + 1)
· (y
95
− 46y
94
+ ··· + 1721708004y −6436369)
21
