12a
0320
(K12a
0320
)
A knot diagram
1
Linearized knot diagam
3 6 8 11 2 10 4 1 12 5 7 9
Solving Sequence
1,8 4,9
3 7 12 10 6 2 11 5
c
8
c
3
c
7
c
12
c
9
c
6
c
2
c
11
c
4
c
1
, c
5
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h5.21278 × 10
257
u
106
+ 1.97423 × 10
258
u
105
+ ··· + 2.30315 × 10
258
b − 7.00904 × 10
259
,
3.57975 × 10
259
u
106
+ 1.24332 × 10
260
u
105
+ ··· + 1.68130 × 10
260
a − 2.52211 × 10
261
,
u
107
+ 4u
106
+ ··· − 483u − 73i
I
u
2
= hu
28
− 3u
27
+ ··· + b + 1, u
28
− 3u
27
+ ··· + a − 9u, u
29
− 3u
28
+ ··· − 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 136 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
= h5.21 × 10
257
u
106
+ 1.97 × 10
258
u
105
+ · · · + 2.30 × 10
258
b − 7.01 ×
10
259
, 3.58 × 10
259
u
106
+ 1.24 × 10
260
u
105
+ · · · + 1.68 × 10
260
a − 2.52 ×
10
261
, u
107
+ 4u
106
+ · · · − 483u − 73i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
4
=
−0.212915u
106
− 0.739501u
105
+ ··· + 101.803u + 15.0010
−0.226332u
106
− 0.857184u
105
+ ··· + 177.752u + 30.4323
a
9
=
1
u
2
a
3
=
−0.439248u
106
− 1.59668u
105
+ ··· + 279.555u + 45.4333
−0.226332u
106
− 0.857184u
105
+ ··· + 177.752u + 30.4323
a
7
=
0.123007u
106
+ 0.551956u
105
+ ··· − 157.461u − 29.3307
−0.229569u
106
− 0.814640u
105
+ ··· + 117.742u + 14.6676
a
12
=
u
u
3
+ u
a
10
=
u
2
+ 1
u
4
+ 2u
2
a
6
=
0.00230451u
106
+ 0.0563939u
105
+ ··· − 28.3080u − 6.07926
−0.188322u
106
− 0.672436u
105
+ ··· + 120.647u + 18.4732
a
2
=
−0.0594793u
106
− 0.378432u
105
+ ··· + 133.484u + 30.4867
0.163564u
106
+ 0.562767u
105
+ ··· − 66.1325u − 7.77903
a
11
=
−0.246809u
106
− 0.950539u
105
+ ··· + 205.903u + 35.7170
−0.0577528u
106
− 0.148404u
105
+ ··· + 9.54089u + 0.162526
a
5
=
−0.263947u
106
− 0.706517u
105
+ ··· + 3.41770u − 12.5330
−0.149436u
106
− 0.565875u
105
+ ··· + 79.2134u + 13.2693
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.244162u
106
+ 1.15603u
105
+ ··· − 309.404u − 76.0924
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
107
+ 36u
106
+ ··· + 13126u + 169
c
2
, c
5
u
107
+ 4u
106
+ ··· + 62u + 13
c
3
, c
7
u
107
+ u
106
+ ··· + 48147u + 6813
c
4
, c
10
u
107
− u
106
+ ··· + 3u + 1
c
6
u
107
+ 8u
106
+ ··· + 543511u + 190727
c
8
, c
9
, c
12
u
107
− 4u
106
+ ··· − 483u + 73
c
11
u
107
− 2u
106
+ ··· + 11893095u + 1360881
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
107
+ 84y
106
+ ··· + 7091334y −28561
c
2
, c
5
y
107
− 36y
106
+ ··· + 13126y −169
c
3
, c
7
y
107
+ 105y
106
+ ··· + 2042098101y −46416969
c
4
, c
10
y
107
+ 81y
106
+ ··· − 149y −1
c
6
y
107
+ 50y
106
+ ··· − 3420315175277y −36376788529
c
8
, c
9
, c
12
y
107
+ 118y
106
+ ··· − 28197y −5329
c
11
y
107
+ 54y
106
+ ··· − 41256150131529y −1851997096161
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.218610 + 0.960768I
a = 0.031709 − 0.835470I
b = 0.136668 + 0.794570I
1.98878 − 1.86222I 0
u = 0.218610 − 0.960768I
a = 0.031709 + 0.835470I
b = 0.136668 − 0.794570I
1.98878 + 1.86222I 0
u = 0.178070 + 0.949675I
a = 0.171856 + 1.326040I
b = 0.323476 − 0.368056I
−0.300806 + 0.353871I 0
u = 0.178070 − 0.949675I
a = 0.171856 − 1.326040I
b = 0.323476 + 0.368056I
−0.300806 − 0.353871I 0
u = −0.783922 + 0.745149I
a = −0.698638 − 0.803371I
b = −0.29188 + 1.42963I
9.48816 + 6.75650I 0
u = −0.783922 − 0.745149I
a = −0.698638 + 0.803371I
b = −0.29188 − 1.42963I
9.48816 − 6.75650I 0
u = −0.999180 + 0.440515I
a = 0.613313 + 0.313829I
b = −0.065695 − 1.351740I
8.42811 − 0.88003I 0
u = −0.999180 − 0.440515I
a = 0.613313 − 0.313829I
b = −0.065695 + 1.351740I
8.42811 + 0.88003I 0
u = −0.420955 + 0.792129I
a = −0.277410 − 0.472034I
b = 0.478629 + 1.266620I
3.14366 − 3.02337I 0
u = −0.420955 − 0.792129I
a = −0.277410 + 0.472034I
b = 0.478629 − 1.266620I
3.14366 + 3.02337I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.899486 + 0.659039I
a = 0.823880 + 0.629890I
b = 0.38198 − 1.51032I
8.4150 + 12.8690I 0
u = −0.899486 − 0.659039I
a = 0.823880 − 0.629890I
b = 0.38198 + 1.51032I
8.4150 − 12.8690I 0
u = 0.399707 + 1.055290I
a = −0.534124 + 0.874749I
b = −0.324208 − 0.576078I
0.35578 − 5.00163I 0
u = 0.399707 − 1.055290I
a = −0.534124 − 0.874749I
b = −0.324208 + 0.576078I
0.35578 + 5.00163I 0
u = −0.998726 + 0.597608I
a = −0.549600 − 0.314043I
b = 0.15549 + 1.46448I
8.13008 − 6.62914I 0
u = −0.998726 − 0.597608I
a = −0.549600 + 0.314043I
b = 0.15549 − 1.46448I
8.13008 + 6.62914I 0
u = 1.046100 + 0.646723I
a = −0.642818 + 0.564506I
b = −0.199047 − 1.344890I
3.29521 − 6.21464I 0
u = 1.046100 − 0.646723I
a = −0.642818 − 0.564506I
b = −0.199047 + 1.344890I
3.29521 + 6.21464I 0
u = 0.473375 + 1.139120I
a = 0.033224 − 0.777814I
b = −0.343973 + 0.921097I
1.19870 − 2.22621I 0
u = 0.473375 − 1.139120I
a = 0.033224 + 0.777814I
b = −0.343973 − 0.921097I
1.19870 + 2.22621I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.135722 + 1.236710I
a = 0.541906 − 0.835595I
b = −0.507847 + 0.864637I
7.89506 + 3.99906I 0
u = −0.135722 − 1.236710I
a = 0.541906 + 0.835595I
b = −0.507847 − 0.864637I
7.89506 − 3.99906I 0
u = 0.737344 + 0.114473I
a = −0.382379 + 0.206236I
b = −0.388809 + 0.493846I
−2.45708 + 0.94725I 0
u = 0.737344 − 0.114473I
a = −0.382379 − 0.206236I
b = −0.388809 − 0.493846I
−2.45708 − 0.94725I 0
u = 0.536312 + 0.497351I
a = −0.774722 − 0.446023I
b = −0.603705 + 0.015366I
−0.98968 − 3.39522I 0
u = 0.536312 − 0.497351I
a = −0.774722 + 0.446023I
b = −0.603705 − 0.015366I
−0.98968 + 3.39522I 0
u = 0.979345 + 0.811967I
a = 0.505582 − 0.602981I
b = 0.037448 + 1.353530I
3.76717 − 0.64138I 0
u = 0.979345 − 0.811967I
a = 0.505582 + 0.602981I
b = 0.037448 − 1.353530I
3.76717 + 0.64138I 0
u = 0.383425 + 0.615041I
a = 0.890349 − 0.220224I
b = 0.36445 + 1.57973I
6.65627 + 1.23162I 0
u = 0.383425 − 0.615041I
a = 0.890349 + 0.220224I
b = 0.36445 − 1.57973I
6.65627 − 1.23162I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.454638 + 0.534981I
a = 0.882894 − 0.100518I
b = 1.098940 − 0.341308I
2.39167 + 7.72468I 0
u = −0.454638 − 0.534981I
a = 0.882894 + 0.100518I
b = 1.098940 + 0.341308I
2.39167 − 7.72468I 0
u = 0.282605 + 1.286600I
a = 0.212333 − 0.050080I
b = −0.259293 + 0.506487I
1.88632 − 2.72331I 0
u = 0.282605 − 1.286600I
a = 0.212333 + 0.050080I
b = −0.259293 − 0.506487I
1.88632 + 2.72331I 0
u = −0.267787 + 0.619016I
a = −1.254590 − 0.606143I
b = −0.007919 + 1.214800I
3.35613 − 1.33160I −4.65848 + 4.10187I
u = −0.267787 − 0.619016I
a = −1.254590 + 0.606143I
b = −0.007919 − 1.214800I
3.35613 + 1.33160I −4.65848 − 4.10187I
u = −0.462761 + 0.433765I
a = 0.787952 − 1.141590I
b = −0.325099 − 0.050785I
3.92673 + 0.31538I −6.76967 − 3.93949I
u = −0.462761 − 0.433765I
a = 0.787952 + 1.141590I
b = −0.325099 + 0.050785I
3.92673 − 0.31538I −6.76967 + 3.93949I
u = −0.534765 + 0.320382I
a = 0.636795 + 0.790761I
b = 0.890340 + 0.146077I
−1.29323 + 1.53588I −13.42761 − 4.38329I
u = −0.534765 − 0.320382I
a = 0.636795 − 0.790761I
b = 0.890340 − 0.146077I
−1.29323 − 1.53588I −13.42761 + 4.38329I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.476941 + 0.375324I
a = −2.54178 − 0.56211I
b = −0.004582 − 1.299540I
5.88527 − 4.31483I −6.48516 + 8.06360I
u = 0.476941 − 0.375324I
a = −2.54178 + 0.56211I
b = −0.004582 + 1.299540I
5.88527 + 4.31483I −6.48516 − 8.06360I
u = −0.203320 + 1.392950I
a = −0.605246 + 0.581908I
b = 0.899558 + 0.224964I
4.16050 + 4.25687I 0
u = −0.203320 − 1.392950I
a = −0.605246 − 0.581908I
b = 0.899558 − 0.224964I
4.16050 − 4.25687I 0
u = −0.318264 + 0.494085I
a = −1.39145 + 2.04833I
b = 0.245903 + 0.248452I
2.23865 − 4.85466I −9.94637 + 0.I
u = −0.318264 − 0.494085I
a = −1.39145 − 2.04833I
b = 0.245903 − 0.248452I
2.23865 + 4.85466I −9.94637 + 0.I
u = 0.513094 + 0.257335I
a = −1.40246 + 1.48229I
b = −0.181209 − 0.890527I
−1.33328 − 1.54721I −13.6640 + 4.4882I
u = 0.513094 − 0.257335I
a = −1.40246 − 1.48229I
b = −0.181209 + 0.890527I
−1.33328 + 1.54721I −13.6640 − 4.4882I
u = −0.420316 + 0.386592I
a = 1.83141 + 0.10916I
b = 0.339855 − 1.201640I
2.56216 + 3.89824I −6.24282 − 0.67021I
u = −0.420316 − 0.386592I
a = 1.83141 − 0.10916I
b = 0.339855 + 1.201640I
2.56216 − 3.89824I −6.24282 + 0.67021I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.398457 + 0.405382I
a = −0.259591 + 0.248416I
b = −0.892262 + 0.384244I
3.82071 + 2.68491I −7.21505 − 5.03363I
u = −0.398457 − 0.405382I
a = −0.259591 − 0.248416I
b = −0.892262 − 0.384244I
3.82071 − 2.68491I −7.21505 + 5.03363I
u = −0.462411 + 0.313276I
a = 2.31541 + 1.59947I
b = 0.430288 − 1.125340I
1.68920 + 6.25554I −12.0000 − 9.4737I
u = −0.462411 − 0.313276I
a = 2.31541 − 1.59947I
b = 0.430288 + 1.125340I
1.68920 − 6.25554I −12.0000 + 9.4737I
u = 0.141009 + 0.537372I
a = 2.45726 − 2.14497I
b = −0.202138 + 1.255300I
7.52473 + 2.42383I 1.87844 − 0.64135I
u = 0.141009 − 0.537372I
a = 2.45726 + 2.14497I
b = −0.202138 − 1.255300I
7.52473 − 2.42383I 1.87844 + 0.64135I
u = −0.11088 + 1.46566I
a = 0.56373 + 2.06801I
b = −0.42043 − 1.41957I
9.67450 − 0.61315I 0
u = −0.11088 − 1.46566I
a = 0.56373 − 2.06801I
b = −0.42043 + 1.41957I
9.67450 + 0.61315I 0
u = 0.327146 + 0.408184I
a = −1.324250 + 0.413854I
b = −0.59487 − 1.55575I
6.98229 − 4.18282I −3.31697 + 8.82974I
u = 0.327146 − 0.408184I
a = −1.324250 − 0.413854I
b = −0.59487 + 1.55575I
6.98229 + 4.18282I −3.31697 − 8.82974I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.12035 + 1.49065I
a = −0.27753 + 2.33161I
b = −0.041278 − 1.261910I
4.60174 − 3.57807I 0
u = 0.12035 − 1.49065I
a = −0.27753 − 2.33161I
b = −0.041278 + 1.261910I
4.60174 + 3.57807I 0
u = −0.11479 + 1.49478I
a = 0.47028 + 2.65788I
b = 0.287281 − 1.309610I
7.77779 + 8.15655I 0
u = −0.11479 − 1.49478I
a = 0.47028 − 2.65788I
b = 0.287281 + 1.309610I
7.77779 − 8.15655I 0
u = 0.12995 + 1.49543I
a = −1.54204 + 1.52645I
b = −0.216189 − 1.234570I
12.10440 − 6.40349I 0
u = 0.12995 − 1.49543I
a = −1.54204 − 1.52645I
b = −0.216189 + 1.234570I
12.10440 + 6.40349I 0
u = −0.16019 + 1.49679I
a = 0.574231 − 0.305715I
b = 0.235248 − 0.036144I
10.23880 + 2.60950I 0
u = −0.16019 − 1.49679I
a = 0.574231 + 0.305715I
b = 0.235248 + 0.036144I
10.23880 − 2.60950I 0
u = −0.12058 + 1.50794I
a = 0.58443 + 1.70466I
b = 0.58551 − 1.32593I
8.92864 + 5.79082I 0
u = −0.12058 − 1.50794I
a = 0.58443 − 1.70466I
b = 0.58551 + 1.32593I
8.92864 − 5.79082I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.05256 + 1.51396I
a = −0.217301 − 0.202081I
b = 1.037180 + 0.357448I
5.95168 − 0.36025I 0
u = 0.05256 − 1.51396I
a = −0.217301 + 0.202081I
b = 1.037180 − 0.357448I
5.95168 + 0.36025I 0
u = −0.07876 + 1.51449I
a = 0.701624 − 0.644270I
b = −1.45550 + 0.62207I
10.25350 + 4.17019I 0
u = −0.07876 − 1.51449I
a = 0.701624 + 0.644270I
b = −1.45550 − 0.62207I
10.25350 − 4.17019I 0
u = 0.10157 + 1.51875I
a = 0.04829 + 2.12071I
b = −0.93889 − 1.87708I
13.5111 − 5.7274I 0
u = 0.10157 − 1.51875I
a = 0.04829 − 2.12071I
b = −0.93889 + 1.87708I
13.5111 + 5.7274I 0
u = 0.141729 + 0.447070I
a = 0.389613 + 1.309160I
b = 0.484950 + 0.073373I
−0.558690 + 0.435240I −13.16075 + 1.11488I
u = 0.141729 − 0.447070I
a = 0.389613 − 1.309160I
b = 0.484950 − 0.073373I
−0.558690 − 0.435240I −13.16075 − 1.11488I
u = −0.04407 + 1.53395I
a = −0.636604 − 0.028543I
b = −0.491435 + 0.324169I
9.16812 − 3.84604I 0
u = −0.04407 − 1.53395I
a = −0.636604 + 0.028543I
b = −0.491435 − 0.324169I
9.16812 + 3.84604I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.02073 + 1.54207I
a = 0.84675 − 2.52362I
b = 0.017497 + 1.330960I
14.5710 + 1.9650I 0
u = 0.02073 − 1.54207I
a = 0.84675 + 2.52362I
b = 0.017497 − 1.330960I
14.5710 − 1.9650I 0
u = 0.16163 + 1.53836I
a = 0.225279 + 0.170191I
b = −1.075420 − 0.085848I
5.83460 − 5.91752I 0
u = 0.16163 − 1.53836I
a = 0.225279 − 0.170191I
b = −1.075420 + 0.085848I
5.83460 + 5.91752I 0
u = −0.13844 + 1.55199I
a = −0.704780 + 0.620989I
b = 1.65352 − 0.40742I
9.43130 + 9.88978I 0
u = −0.13844 − 1.55199I
a = −0.704780 − 0.620989I
b = 1.65352 + 0.40742I
9.43130 − 9.88978I 0
u = −0.03795 + 1.56754I
a = −0.30023 − 1.90446I
b = −0.29998 + 1.49901I
10.81920 − 0.43166I 0
u = −0.03795 − 1.56754I
a = −0.30023 + 1.90446I
b = −0.29998 − 1.49901I
10.81920 + 0.43166I 0
u = 0.07869 + 1.58239I
a = −0.06364 − 1.99815I
b = 0.74333 + 2.06303I
14.1741 − 0.3259I 0
u = 0.07869 − 1.58239I
a = −0.06364 + 1.99815I
b = 0.74333 − 2.06303I
14.1741 + 0.3259I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.23936 + 1.61844I
a = −0.48005 − 1.89887I
b = −0.43878 + 1.61218I
17.3391 + 10.5622I 0
u = −0.23936 − 1.61844I
a = −0.48005 + 1.89887I
b = −0.43878 − 1.61218I
17.3391 − 10.5622I 0
u = −0.30020 + 1.60868I
a = 0.61408 + 1.79515I
b = 0.55307 − 1.62905I
15.8563 + 17.3211I 0
u = −0.30020 − 1.60868I
a = 0.61408 − 1.79515I
b = 0.55307 + 1.62905I
15.8563 − 17.3211I 0
u = −0.39503 + 1.59788I
a = 0.76123 + 1.40447I
b = 0.166532 − 1.386090I
15.0145 + 4.3541I 0
u = −0.39503 − 1.59788I
a = 0.76123 − 1.40447I
b = 0.166532 + 1.386090I
15.0145 − 4.3541I 0
u = −0.05430 + 1.65387I
a = −0.22797 − 1.75899I
b = 0.15024 + 1.86593I
11.86160 − 1.46045I 0
u = −0.05430 − 1.65387I
a = −0.22797 + 1.75899I
b = 0.15024 − 1.86593I
11.86160 + 1.46045I 0
u = −0.325540 + 0.093169I
a = 1.53708 + 0.78756I
b = −0.548176 − 0.981523I
4.26238 − 2.15362I −14.5846 + 5.0933I
u = −0.325540 − 0.093169I
a = 1.53708 − 0.78756I
b = −0.548176 + 0.981523I
4.26238 + 2.15362I −14.5846 − 5.0933I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.32722 + 1.63615I
a = −0.59621 + 1.60182I
b = −0.43198 − 1.44422I
10.8326 − 11.2575I 0
u = 0.32722 − 1.63615I
a = −0.59621 − 1.60182I
b = −0.43198 + 1.44422I
10.8326 + 11.2575I 0
u = 0.24302 + 1.66340I
a = 0.41953 − 1.67154I
b = 0.31142 + 1.51218I
12.18450 − 5.07799I 0
u = 0.24302 − 1.66340I
a = 0.41953 + 1.67154I
b = 0.31142 − 1.51218I
12.18450 + 5.07799I 0
u = −0.32773 + 1.67521I
a = −0.59722 − 1.42967I
b = −0.12777 + 1.53523I
15.6605 − 1.5214I 0
u = −0.32773 − 1.67521I
a = −0.59722 + 1.42967I
b = −0.12777 − 1.53523I
15.6605 + 1.5214I 0
u = 0.275965
a = −0.570569
b = 0.339181
−0.579142 −17.1090
15
II.
I
u
2
= hu
28
−3u
27
+· · ·+b+1, u
28
−3u
27
+· · ·+a−9u, u
29
−3u
28
+· · ·−2u−1i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
4
=
−u
28
+ 3u
27
+ ··· + 9u
2
+ 9u
−u
28
+ 3u
27
+ ··· − u − 1
a
9
=
1
u
2
a
3
=
−2u
28
+ 6u
27
+ ··· + 8u − 1
−u
28
+ 3u
27
+ ··· − u − 1
a
7
=
−u
26
+ 4u
25
+ ··· − 2u − 1
−u
5
+ u
4
− 3u
3
+ 2u
2
− 2u + 1
a
12
=
u
u
3
+ u
a
10
=
u
2
+ 1
u
4
+ 2u
2
a
6
=
−u
26
+ 4u
25
+ ··· − 4u − 1
−u
28
+ 3u
27
+ ··· − u + 1
a
2
=
−u
28
+ 3u
27
+ ··· − 3u − 6
−u
27
+ 4u
26
+ ··· + 11u
3
− 4u
2
a
11
=
−u
26
+ 3u
25
+ ··· + 6u
2
+ 9u
u
28
− 3u
27
+ ··· − 2u − 2
a
5
=
−u
28
+ 3u
27
+ ··· + 5u + 4
u
27
− 4u
26
+ ··· − 2u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −2u
28
+ 2u
27
− 35u
26
+ 40u
25
− 287u
24
+ 347u
23
− 1444u
22
+ 1720u
21
− 4869u
20
+
5365u
19
−11288u
18
+10857u
17
−17856u
16
+14038u
15
−18593u
14
+10722u
13
−11806u
12
+
3674u
11
−3899u
10
−380u
9
−483u
8
−446u
7
−52u
6
+ 66u
5
+ 31u
4
+ 77u
3
+ 39u
2
+ 27u + 2
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
29
− 13u
28
+ ··· + 13u − 1
c
2
u
29
+ 3u
28
+ ··· − 3u − 1
c
3
u
29
+ 16u
27
+ ··· + 8u − 1
c
4
u
29
+ 10u
27
+ ··· − 2u + 1
c
5
u
29
− 3u
28
+ ··· − 3u + 1
c
6
u
29
− u
28
+ ··· − 7u
2
− 1
c
7
u
29
+ 16u
27
+ ··· + 8u + 1
c
8
, c
9
u
29
− 3u
28
+ ··· − 2u − 1
c
10
u
29
+ 10u
27
+ ··· − 2u − 1
c
11
u
29
+ u
28
+ ··· + 13u
2
+ 1
c
12
u
29
+ 3u
28
+ ··· − 2u + 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
29
+ 19y
28
+ ··· − 11y −1
c
2
, c
5
y
29
− 13y
28
+ ··· + 13y −1
c
3
, c
7
y
29
+ 32y
28
+ ··· − 16y −1
c
4
, c
10
y
29
+ 20y
28
+ ··· + 26y −1
c
6
y
29
+ 9y
28
+ ··· − 14y −1
c
8
, c
9
, c
12
y
29
+ 33y
28
+ ··· − 10y −1
c
11
y
29
+ 9y
28
+ ··· − 26y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.320010 + 0.929198I
a = 0.39466 + 1.70289I
b = 0.038419 − 0.734900I
0.433243 + 0.124395I −4.84474 + 0.20044I
u = 0.320010 − 0.929198I
a = 0.39466 − 1.70289I
b = 0.038419 + 0.734900I
0.433243 − 0.124395I −4.84474 − 0.20044I
u = 0.619532 + 0.742782I
a = −1.056600 + 0.712156I
b = −0.215695 − 1.137310I
2.22927 − 4.93398I −8.38230 + 6.45291I
u = 0.619532 − 0.742782I
a = −1.056600 − 0.712156I
b = −0.215695 + 1.137310I
2.22927 + 4.93398I −8.38230 − 6.45291I
u = 0.643736 + 0.904472I
a = 0.683690 − 0.546558I
b = −0.044141 + 1.253420I
2.67368 + 0.08755I −9.01016 − 0.85925I
u = 0.643736 − 0.904472I
a = 0.683690 + 0.546558I
b = −0.044141 − 1.253420I
2.67368 − 0.08755I −9.01016 + 0.85925I
u = 0.409561 + 1.069620I
a = −0.284586 − 0.522394I
b = −0.295871 + 0.778735I
1.02762 − 2.88773I −9.85449 + 8.09995I
u = 0.409561 − 1.069620I
a = −0.284586 + 0.522394I
b = −0.295871 − 0.778735I
1.02762 + 2.88773I −9.85449 − 8.09995I
u = −0.142765 + 1.249060I
a = −0.833830 + 1.067700I
b = 0.601906 − 0.712923I
7.51370 + 3.35651I −8.50874 + 0.95421I
u = −0.142765 − 1.249060I
a = −0.833830 − 1.067700I
b = 0.601906 + 0.712923I
7.51370 − 3.35651I −8.50874 − 0.95421I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.062902 + 1.256950I
a = 1.177200 + 0.201358I
b = −0.382326 + 0.682765I
5.57353 + 6.14807I −6.11924 − 5.75813I
u = −0.062902 − 1.256950I
a = 1.177200 − 0.201358I
b = −0.382326 − 0.682765I
5.57353 − 6.14807I −6.11924 + 5.75813I
u = 0.219923 + 1.280020I
a = −0.089089 + 0.378279I
b = −0.162580 + 0.225216I
1.55717 − 3.04406I −15.4554 + 7.1702I
u = 0.219923 − 1.280020I
a = −0.089089 − 0.378279I
b = −0.162580 − 0.225216I
1.55717 + 3.04406I −15.4554 − 7.1702I
u = 0.615147
a = −0.815486
b = −0.341615
−2.42903 −16.1420
u = −0.15234 + 1.44097I
a = 0.77709 + 1.42350I
b = 0.446284 − 1.339670I
11.44890 + 5.04952I −4.21898 − 2.62364I
u = −0.15234 − 1.44097I
a = 0.77709 − 1.42350I
b = 0.446284 + 1.339670I
11.44890 − 5.04952I −4.21898 + 2.62364I
u = −0.263492 + 0.446508I
a = 0.390765 − 1.123370I
b = 0.590532 + 1.084710I
4.70619 − 1.81374I −2.21768 − 3.11805I
u = −0.263492 − 0.446508I
a = 0.390765 + 1.123370I
b = 0.590532 − 1.084710I
4.70619 + 1.81374I −2.21768 + 3.11805I
u = −0.019923 + 0.460345I
a = −2.10006 + 3.07543I
b = −0.385295 − 0.880991I
2.73526 − 5.65484I −4.63168 + 7.14796I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.019923 − 0.460345I
a = −2.10006 − 3.07543I
b = −0.385295 + 0.880991I
2.73526 + 5.65484I −4.63168 − 7.14796I
u = 0.09517 + 1.53920I
a = −0.61440 + 1.61562I
b = −0.599071 − 1.143990I
9.89424 − 6.58410I −3.77263 + 5.83456I
u = 0.09517 − 1.53920I
a = −0.61440 − 1.61562I
b = −0.599071 + 1.143990I
9.89424 + 6.58410I −3.77263 − 5.83456I
u = −0.09903 + 1.55874I
a = −0.50230 − 1.90709I
b = −0.04502 + 1.69043I
12.87670 − 1.34074I −2.57674 + 2.90001I
u = −0.09903 − 1.55874I
a = −0.50230 + 1.90709I
b = −0.04502 − 1.69043I
12.87670 + 1.34074I −2.57674 − 2.90001I
u = −0.01439 + 1.61720I
a = −0.13191 − 1.82061I
b = 0.42135 + 1.72225I
12.44350 − 0.92978I −2.68721 + 0.I
u = −0.01439 − 1.61720I
a = −0.13191 + 1.82061I
b = 0.42135 − 1.72225I
12.44350 + 0.92978I −2.68721 + 0.I
u = −0.360674 + 0.121864I
a = −1.40289 + 1.84758I
b = 0.20232 + 1.44582I
6.70328 − 3.10811I −5.14888 + 2.92110I
u = −0.360674 − 0.121864I
a = −1.40289 − 1.84758I
b = 0.20232 − 1.44582I
6.70328 + 3.10811I −5.14888 − 2.92110I
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
29
− 13u
28
+ ··· + 13u − 1)(u
107
+ 36u
106
+ ··· + 13126u + 169)
c
2
(u
29
+ 3u
28
+ ··· − 3u − 1)(u
107
+ 4u
106
+ ··· + 62u + 13)
c
3
(u
29
+ 16u
27
+ ··· + 8u − 1)(u
107
+ u
106
+ ··· + 48147u + 6813)
c
4
(u
29
+ 10u
27
+ ··· − 2u + 1)(u
107
− u
106
+ ··· + 3u + 1)
c
5
(u
29
− 3u
28
+ ··· − 3u + 1)(u
107
+ 4u
106
+ ··· + 62u + 13)
c
6
(u
29
− u
28
+ ··· − 7u
2
− 1)(u
107
+ 8u
106
+ ··· + 543511u + 190727)
c
7
(u
29
+ 16u
27
+ ··· + 8u + 1)(u
107
+ u
106
+ ··· + 48147u + 6813)
c
8
, c
9
(u
29
− 3u
28
+ ··· − 2u − 1)(u
107
− 4u
106
+ ··· − 483u + 73)
c
10
(u
29
+ 10u
27
+ ··· − 2u − 1)(u
107
− u
106
+ ··· + 3u + 1)
c
11
(u
29
+ u
28
+ ··· + 13u
2
+ 1)
· (u
107
− 2u
106
+ ··· + 11893095u + 1360881)
c
12
(u
29
+ 3u
28
+ ··· − 2u + 1)(u
107
− 4u
106
+ ··· − 483u + 73)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
29
+ 19y
28
+ ··· − 11y −1)
· (y
107
+ 84y
106
+ ··· + 7091334y −28561)
c
2
, c
5
(y
29
− 13y
28
+ ··· + 13y −1)(y
107
− 36y
106
+ ··· + 13126y −169)
c
3
, c
7
(y
29
+ 32y
28
+ ··· − 16y −1)
· (y
107
+ 105y
106
+ ··· + 2042098101y −46416969)
c
4
, c
10
(y
29
+ 20y
28
+ ··· + 26y −1)(y
107
+ 81y
106
+ ··· − 149y −1)
c
6
(y
29
+ 9y
28
+ ··· − 14y −1)
· (y
107
+ 50y
106
+ ··· − 3420315175277y −36376788529)
c
8
, c
9
, c
12
(y
29
+ 33y
28
+ ··· − 10y −1)(y
107
+ 118y
106
+ ··· − 28197y −5329)
c
11
(y
29
+ 9y
28
+ ··· − 26y −1)
· (y
107
+ 54y
106
+ ··· − 41256150131529y −1851997096161)
23
