12a
0662
(K12a
0662
)
A knot diagram
1
Linearized knot diagam
3 7 10 12 11 2 5 4 1 6 8 9
Solving Sequence
2,6
7 3
1,11
5 8 10 4 9 12
c
6
c
2
c
1
c
5
c
7
c
10
c
3
c
9
c
12
c
4
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.04261 × 10
439
u
151
− 3.12955 × 10
439
u
150
+ ··· + 2.44939 × 10
439
b + 4.79597 × 10
441
,
− 1.78662 × 10
442
u
151
− 2.88167 × 10
442
u
150
+ ··· + 8.98925 × 10
441
a + 2.77990 × 10
444
,
u
152
+ u
151
+ ··· − 1379u + 367i
I
u
2
= h−26479u
31
+ 2745u
30
+ ··· + 5497b − 38311,
− 1129966u
31
+ 188660u
30
+ ··· + 159413a − 2101975, u
32
− 8u
30
+ ··· + 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 184 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−1.04 × 10
439
u
151
− 3.13 × 10
439
u
150
+ · · · + 2.45 × 10
439
b + 4.80 ×
10
441
, −1.79 × 10
442
u
151
− 2.88 × 10
442
u
150
+ · · · + 8.99 × 10
441
a + 2.78 ×
10
444
, u
152
+ u
151
+ · · · − 1379u + 367i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
1.98751u
151
+ 3.20568u
150
+ ··· + 893.382u − 309.247
0.425661u
151
+ 1.27769u
150
+ ··· + 879.144u − 195.803
a
5
=
−2.24943u
151
− 3.02574u
150
+ ··· − 2033.70u + 757.468
2.06070u
151
+ 3.85778u
150
+ ··· + 748.892u − 227.347
a
8
=
−0.362640u
151
+ 1.75754u
150
+ ··· − 1835.38u + 869.212
−1.07197u
151
− 1.99089u
150
+ ··· − 638.367u + 196.579
a
10
=
1.56185u
151
+ 1.92800u
150
+ ··· + 14.2386u − 113.444
0.425661u
151
+ 1.27769u
150
+ ··· + 879.144u − 195.803
a
4
=
−4.72164u
151
− 10.0286u
150
+ ··· − 5128.46u + 1430.34
−2.42859u
151
− 5.41972u
150
+ ··· − 2029.05u + 490.243
a
9
=
2.83491u
151
+ 4.20931u
150
+ ··· + 917.177u − 418.112
0.252785u
151
+ 0.661844u
150
+ ··· + 229.065u − 46.6930
a
12
=
1.76807u
151
+ 5.52351u
150
+ ··· − 1817.01u + 740.392
0.240114u
151
+ 0.0307253u
150
+ ··· + 1184.40u − 370.130
(ii) Obstruction class = −1
(iii) Cusp Shapes = −9.05646u
151
− 13.2640u
150
+ ··· + 563.221u + 212.918
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
152
+ 63u
151
+ ··· + 4922785u + 134689
c
2
, c
6
u
152
− u
151
+ ··· + 1379u + 367
c
3
u
152
+ u
151
+ ··· + 589492u + 19909
c
4
u
152
+ 4u
151
+ ··· + 5694u + 7057
c
5
, c
10
u
152
+ u
151
+ ··· − 226661u + 18163
c
7
u
152
− 9u
151
+ ··· − 50u + 1
c
8
u
152
− 4u
151
+ ··· + 22u + 1
c
9
, c
12
u
152
− 3u
151
+ ··· − 2650u + 223
c
11
u
152
+ 7u
151
+ ··· + 59968u + 7903
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
152
+ 61y
151
+ ··· + 143171208307y + 18141126721
c
2
, c
6
y
152
− 63y
151
+ ··· − 4922785y + 134689
c
3
y
152
− 27y
151
+ ··· − 116608221282y + 396368281
c
4
y
152
+ 38y
151
+ ··· + 3402431974y + 49801249
c
5
, c
10
y
152
+ 105y
151
+ ··· − 5729591991y + 329894569
c
7
y
152
− 5y
151
+ ··· − 68y + 1
c
8
y
152
− 8y
151
+ ··· − 22y + 1
c
9
, c
12
y
152
− 119y
151
+ ··· − 2364476y + 49729
c
11
y
152
− 39y
151
+ ··· − 5965053662y + 62457409
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.976618 + 0.216947I
a = −0.10966 − 2.80122I
b = 0.02771 − 1.44061I
−7.74674 + 0.74291I 0
u = −0.976618 − 0.216947I
a = −0.10966 + 2.80122I
b = 0.02771 + 1.44061I
−7.74674 − 0.74291I 0
u = −0.865113 + 0.510791I
a = −0.91463 + 2.22114I
b = −0.08851 + 1.63090I
−1.47039 + 2.06741I 0
u = −0.865113 − 0.510791I
a = −0.91463 − 2.22114I
b = −0.08851 − 1.63090I
−1.47039 − 2.06741I 0
u = 0.572612 + 0.830099I
a = 0.342921 − 0.154395I
b = −0.540329 − 1.235470I
−0.28796 + 5.49864I 0
u = 0.572612 − 0.830099I
a = 0.342921 + 0.154395I
b = −0.540329 + 1.235470I
−0.28796 − 5.49864I 0
u = −0.804913 + 0.577587I
a = 1.36576 − 1.94031I
b = −1.00500 − 1.39736I
2.90265 − 0.91653I 0
u = −0.804913 − 0.577587I
a = 1.36576 + 1.94031I
b = −1.00500 + 1.39736I
2.90265 + 0.91653I 0
u = −1.007170 + 0.071305I
a = −0.66068 + 2.50970I
b = −0.16176 + 1.55220I
−8.06070 − 0.34368I 0
u = −1.007170 − 0.071305I
a = −0.66068 − 2.50970I
b = −0.16176 − 1.55220I
−8.06070 + 0.34368I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.862567 + 0.483048I
a = 1.66883 + 0.68631I
b = −0.224587 + 1.223930I
−1.62821 − 1.97022I 0
u = 0.862567 − 0.483048I
a = 1.66883 − 0.68631I
b = −0.224587 − 1.223930I
−1.62821 + 1.97022I 0
u = −0.745359 + 0.636841I
a = 0.502927 − 0.311138I
b = −0.772595 − 0.278417I
2.57935 + 0.80193I 0
u = −0.745359 − 0.636841I
a = 0.502927 + 0.311138I
b = −0.772595 + 0.278417I
2.57935 − 0.80193I 0
u = 0.851678 + 0.564295I
a = −0.740309 + 0.501044I
b = 0.530138 + 1.114300I
2.45684 + 3.76901I 0
u = 0.851678 − 0.564295I
a = −0.740309 − 0.501044I
b = 0.530138 − 1.114300I
2.45684 − 3.76901I 0
u = −0.919952 + 0.329313I
a = −1.173450 − 0.011749I
b = 0.100577 − 0.324560I
−2.58832 + 3.84915I 0
u = −0.919952 − 0.329313I
a = −1.173450 + 0.011749I
b = 0.100577 + 0.324560I
−2.58832 − 3.84915I 0
u = 0.864184 + 0.552906I
a = 2.26119 + 2.71298I
b = −0.379127 + 1.199260I
2.42176 − 8.23014I 0
u = 0.864184 − 0.552906I
a = 2.26119 − 2.71298I
b = −0.379127 − 1.199260I
2.42176 + 8.23014I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.849802 + 0.580022I
a = −1.25646 − 2.10652I
b = 0.180753 − 1.091820I
3.69053 − 3.19749I 0
u = 0.849802 − 0.580022I
a = −1.25646 + 2.10652I
b = 0.180753 + 1.091820I
3.69053 + 3.19749I 0
u = 0.850752 + 0.584637I
a = 0.074575 − 1.074680I
b = −0.449062 − 0.991318I
3.68435 − 1.42902I 0
u = 0.850752 − 0.584637I
a = 0.074575 + 1.074680I
b = −0.449062 + 0.991318I
3.68435 + 1.42902I 0
u = 0.639559 + 0.812305I
a = 0.277848 + 0.749378I
b = −1.131630 − 0.010331I
7.08155 + 7.79782I 0
u = 0.639559 − 0.812305I
a = 0.277848 − 0.749378I
b = −1.131630 + 0.010331I
7.08155 − 7.79782I 0
u = −0.950501 + 0.161280I
a = 0.455484 + 0.011996I
b = 0.708579 + 0.554908I
0.83341 + 7.86376I 0
u = −0.950501 − 0.161280I
a = 0.455484 − 0.011996I
b = 0.708579 − 0.554908I
0.83341 − 7.86376I 0
u = 0.660685 + 0.804281I
a = −0.460261 − 0.955987I
b = 0.803987 − 0.508923I
7.04453 + 0.84251I 0
u = 0.660685 − 0.804281I
a = −0.460261 + 0.955987I
b = 0.803987 + 0.508923I
7.04453 − 0.84251I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.950182 + 0.465480I
a = 0.094286 + 0.516746I
b = 0.296626 + 0.481035I
−1.71761 − 1.68861I 0
u = 0.950182 − 0.465480I
a = 0.094286 − 0.516746I
b = 0.296626 − 0.481035I
−1.71761 + 1.68861I 0
u = −0.406856 + 0.845498I
a = −0.032963 − 0.295662I
b = 0.56540 − 1.31168I
−2.50384 − 8.49483I 0
u = −0.406856 − 0.845498I
a = −0.032963 + 0.295662I
b = 0.56540 + 1.31168I
−2.50384 + 8.49483I 0
u = −0.887774 + 0.582678I
a = 0.935153 + 0.083120I
b = 1.22014 − 1.26923I
2.63555 + 5.53579I 0
u = −0.887774 − 0.582678I
a = 0.935153 − 0.083120I
b = 1.22014 + 1.26923I
2.63555 − 5.53579I 0
u = −0.818657 + 0.450572I
a = −3.28553 + 1.87639I
b = −0.059830 + 0.982360I
1.74623 − 4.46561I 0
u = −0.818657 − 0.450572I
a = −3.28553 − 1.87639I
b = −0.059830 − 0.982360I
1.74623 + 4.46561I 0
u = 0.823901 + 0.681823I
a = −1.19203 − 1.20702I
b = −0.12432 − 1.63512I
2.85259 − 2.62751I 0
u = 0.823901 − 0.681823I
a = −1.19203 + 1.20702I
b = −0.12432 + 1.63512I
2.85259 + 2.62751I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.926283
a = 0.854247
b = 0.760609
−1.61290 0
u = −0.977472 + 0.473192I
a = 0.938151 − 0.165156I
b = −0.011295 + 0.587086I
1.20459 + 8.18013I 0
u = −0.977472 − 0.473192I
a = 0.938151 + 0.165156I
b = −0.011295 − 0.587086I
1.20459 − 8.18013I 0
u = −0.649188 + 0.876413I
a = −0.238761 + 0.471482I
b = 0.736869 + 0.099610I
7.68334 + 0.25660I 0
u = −0.649188 − 0.876413I
a = −0.238761 − 0.471482I
b = 0.736869 − 0.099610I
7.68334 − 0.25660I 0
u = −0.805819 + 0.748960I
a = 0.105328 − 1.206030I
b = −0.634172 + 0.360662I
5.12004 + 4.30665I 0
u = −0.805819 − 0.748960I
a = 0.105328 + 1.206030I
b = −0.634172 − 0.360662I
5.12004 − 4.30665I 0
u = 0.939555 + 0.575189I
a = −0.274937 + 1.214310I
b = −1.53346 + 0.18549I
0.35184 − 6.84298I 0
u = 0.939555 − 0.575189I
a = −0.274937 − 1.214310I
b = −1.53346 − 0.18549I
0.35184 + 6.84298I 0
u = 0.458825 + 0.763650I
a = −1.047300 + 0.514506I
b = 0.037737 + 1.087970I
1.08065 + 4.08048I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.458825 − 0.763650I
a = −1.047300 − 0.514506I
b = 0.037737 − 1.087970I
1.08065 − 4.08048I 0
u = 0.539514 + 0.699005I
a = 0.206542 − 0.079255I
b = 0.536198 + 1.293110I
−3.17732 + 1.39405I 0
u = 0.539514 − 0.699005I
a = 0.206542 + 0.079255I
b = 0.536198 − 1.293110I
−3.17732 − 1.39405I 0
u = 0.703112 + 0.534095I
a = −0.071455 − 1.308950I
b = 1.344760 − 0.215123I
1.08035 + 2.31080I 0
u = 0.703112 − 0.534095I
a = −0.071455 + 1.308950I
b = 1.344760 + 0.215123I
1.08035 − 2.31080I 0
u = −0.537922 + 0.983429I
a = 0.048509 + 0.489775I
b = −0.54128 + 1.35705I
2.81822 − 13.64750I 0
u = −0.537922 − 0.983429I
a = 0.048509 − 0.489775I
b = −0.54128 − 1.35705I
2.81822 + 13.64750I 0
u = 0.878444
a = 0.765301
b = 0.512720
−1.64970 0
u = −1.009080 + 0.491975I
a = −1.03079 + 2.15983I
b = 0.87359 + 1.38392I
−2.60289 + 6.20359I 0
u = −1.009080 − 0.491975I
a = −1.03079 − 2.15983I
b = 0.87359 − 1.38392I
−2.60289 − 6.20359I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.427475 + 1.040220I
a = −0.056678 + 0.787178I
b = 0.372426 + 1.198790I
4.32849 + 3.82697I 0
u = 0.427475 − 1.040220I
a = −0.056678 − 0.787178I
b = 0.372426 − 1.198790I
4.32849 − 3.82697I 0
u = −0.918955 + 0.650665I
a = 0.077171 + 0.811335I
b = 0.754789 − 0.079899I
2.06466 + 4.23388I 0
u = −0.918955 − 0.650665I
a = 0.077171 − 0.811335I
b = 0.754789 + 0.079899I
2.06466 − 4.23388I 0
u = 1.063870 + 0.369962I
a = 1.31086 + 1.33153I
b = 0.42212 + 1.42825I
−3.28779 − 0.28143I 0
u = 1.063870 − 0.369962I
a = 1.31086 − 1.33153I
b = 0.42212 − 1.42825I
−3.28779 + 0.28143I 0
u = −0.669425 + 0.556263I
a = 1.39519 − 0.74758I
b = −0.769467 − 0.429201I
2.53454 − 0.28463I 0
u = −0.669425 − 0.556263I
a = 1.39519 + 0.74758I
b = −0.769467 + 0.429201I
2.53454 + 0.28463I 0
u = −0.960743 + 0.609210I
a = 0.028076 + 0.866700I
b = 1.102640 − 0.252664I
1.65873 + 5.03382I 0
u = −0.960743 − 0.609210I
a = 0.028076 − 0.866700I
b = 1.102640 + 0.252664I
1.65873 − 5.03382I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.475350 + 1.035040I
a = −0.060496 − 0.461301I
b = 0.452078 − 0.961673I
5.61630 − 5.52289I 0
u = −0.475350 − 1.035040I
a = −0.060496 + 0.461301I
b = 0.452078 + 0.961673I
5.61630 + 5.52289I 0
u = −1.069980 + 0.399619I
a = 1.48760 − 1.98942I
b = 0.030102 − 1.047000I
−3.47061 − 1.39309I 0
u = −1.069980 − 0.399619I
a = 1.48760 + 1.98942I
b = 0.030102 + 1.047000I
−3.47061 + 1.39309I 0
u = 0.046085 + 0.855577I
a = −0.239658 − 0.787458I
b = −0.297747 − 0.177190I
4.31998 − 4.77119I 0
u = 0.046085 − 0.855577I
a = −0.239658 + 0.787458I
b = −0.297747 + 0.177190I
4.31998 + 4.77119I 0
u = −1.150540 + 0.033163I
a = 0.04175 + 2.34065I
b = 0.327382 + 1.370250I
−6.47670 + 4.16409I 0
u = −1.150540 − 0.033163I
a = 0.04175 − 2.34065I
b = 0.327382 − 1.370250I
−6.47670 − 4.16409I 0
u = −0.764698 + 0.354028I
a = −0.694778 − 0.393450I
b = −1.06922 + 0.98003I
−1.48089 − 2.58427I 0
u = −0.764698 − 0.354028I
a = −0.694778 + 0.393450I
b = −1.06922 − 0.98003I
−1.48089 + 2.58427I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.931412 + 0.706267I
a = −0.735829 + 0.157932I
b = 0.813993 + 0.382368I
4.71540 + 1.23998I 0
u = −0.931412 − 0.706267I
a = −0.735829 − 0.157932I
b = 0.813993 − 0.382368I
4.71540 − 1.23998I 0
u = 0.479078 + 0.677748I
a = 0.511177 + 0.249312I
b = −0.215463 + 1.061590I
−1.05102 − 2.47699I 0
u = 0.479078 − 0.677748I
a = 0.511177 − 0.249312I
b = −0.215463 − 1.061590I
−1.05102 + 2.47699I 0
u = 0.462726 + 0.668814I
a = 0.480800 + 0.040833I
b = 0.021718 − 1.074260I
−3.50685 + 0.66121I 0
u = 0.462726 − 0.668814I
a = 0.480800 − 0.040833I
b = 0.021718 + 1.074260I
−3.50685 − 0.66121I 0
u = 1.044590 + 0.583400I
a = −1.75741 − 1.11724I
b = 0.187605 − 1.144610I
−5.17008 − 5.51409I 0
u = 1.044590 − 0.583400I
a = −1.75741 + 1.11724I
b = 0.187605 + 1.144610I
−5.17008 + 5.51409I 0
u = −0.885638 + 0.811835I
a = 0.609964 + 0.376082I
b = −0.051715 − 0.915336I
5.00003 + 3.02886I 0
u = −0.885638 − 0.811835I
a = 0.609964 − 0.376082I
b = −0.051715 + 0.915336I
5.00003 − 3.02886I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.030060 + 0.623389I
a = 1.33548 + 1.65672I
b = −0.62080 + 1.50727I
−4.59816 − 6.49408I 0
u = 1.030060 − 0.623389I
a = 1.33548 − 1.65672I
b = −0.62080 − 1.50727I
−4.59816 + 6.49408I 0
u = 1.195750 + 0.212199I
a = 0.089352 − 0.369095I
b = −0.197353 − 0.034124I
0.013101 + 0.934312I 0
u = 1.195750 − 0.212199I
a = 0.089352 + 0.369095I
b = −0.197353 + 0.034124I
0.013101 − 0.934312I 0
u = 1.068640 + 0.581893I
a = −1.30648 − 2.15328I
b = 0.398500 − 1.302870I
−1.85136 − 8.54719I 0
u = 1.068640 − 0.581893I
a = −1.30648 + 2.15328I
b = 0.398500 + 1.302870I
−1.85136 + 8.54719I 0
u = −1.096240 + 0.528676I
a = −0.86983 + 1.69195I
b = 0.611574 + 0.963903I
−1.47654 + 5.76364I 0
u = −1.096240 − 0.528676I
a = −0.86983 − 1.69195I
b = 0.611574 − 0.963903I
−1.47654 − 5.76364I 0
u = −1.208030 + 0.158012I
a = 0.31166 + 2.70295I
b = −0.020873 + 1.299230I
−4.11234 − 1.67628I 0
u = −1.208030 − 0.158012I
a = 0.31166 − 2.70295I
b = −0.020873 − 1.299230I
−4.11234 + 1.67628I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.011760 + 0.683000I
a = −0.283999 + 0.168373I
b = −0.975347 − 0.359499I
5.96030 − 6.42997I 0
u = 1.011760 − 0.683000I
a = −0.283999 − 0.168373I
b = −0.975347 + 0.359499I
5.96030 + 6.42997I 0
u = 0.471037 + 0.610388I
a = 0.360659 − 0.851607I
b = −0.459416 − 1.141250I
−0.10257 + 3.76623I 0
u = 0.471037 − 0.610388I
a = 0.360659 + 0.851607I
b = −0.459416 + 1.141250I
−0.10257 − 3.76623I 0
u = −0.770484 + 0.026292I
a = 0.693935 + 0.382307I
b = −0.614336 − 0.339169I
1.55723 + 1.68948I 0
u = −0.770484 − 0.026292I
a = 0.693935 − 0.382307I
b = −0.614336 + 0.339169I
1.55723 − 1.68948I 0
u = 1.027250 + 0.690330I
a = 0.053458 − 0.908307I
b = 1.270730 − 0.147980I
5.8970 − 13.4381I 0
u = 1.027250 − 0.690330I
a = 0.053458 + 0.908307I
b = 1.270730 + 0.147980I
5.8970 + 13.4381I 0
u = −0.706699 + 1.022180I
a = −0.147227 + 0.424050I
b = 0.145519 + 0.996926I
−0.64713 + 4.08707I 0
u = −0.706699 − 1.022180I
a = −0.147227 − 0.424050I
b = 0.145519 − 0.996926I
−0.64713 − 4.08707I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.243760 + 0.073901I
a = −0.55855 − 2.02986I
b = −0.288792 − 1.358460I
−8.27641 + 5.84072I 0
u = 1.243760 − 0.073901I
a = −0.55855 + 2.02986I
b = −0.288792 + 1.358460I
−8.27641 − 5.84072I 0
u = 1.090600 + 0.635158I
a = 1.93058 + 1.36640I
b = −0.168254 + 1.127970I
−0.75512 − 9.40312I 0
u = 1.090600 − 0.635158I
a = 1.93058 − 1.36640I
b = −0.168254 − 1.127970I
−0.75512 + 9.40312I 0
u = −1.034360 + 0.725967I
a = 0.035860 − 0.515236I
b = −0.826475 − 0.094139I
6.49748 + 5.66621I 0
u = −1.034360 − 0.725967I
a = 0.035860 + 0.515236I
b = −0.826475 + 0.094139I
6.49748 − 5.66621I 0
u = 1.067790 + 0.684109I
a = −1.48351 − 1.52576I
b = 0.60610 − 1.31730I
−1.78087 − 11.16920I 0
u = 1.067790 − 0.684109I
a = −1.48351 + 1.52576I
b = 0.60610 + 1.31730I
−1.78087 + 11.16920I 0
u = −1.115660 + 0.628004I
a = 1.14931 − 1.85790I
b = −0.61624 − 1.45749I
−4.6053 + 13.9382I 0
u = −1.115660 − 0.628004I
a = 1.14931 + 1.85790I
b = −0.61624 + 1.45749I
−4.6053 − 13.9382I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.106070 + 0.667405I
a = 0.86430 + 1.28666I
b = −0.096832 + 1.181380I
−2.38114 − 2.96247I 0
u = 1.106070 − 0.667405I
a = 0.86430 − 1.28666I
b = −0.096832 − 1.181380I
−2.38114 + 2.96247I 0
u = −0.335561 + 1.288140I
a = 0.043317 − 0.657021I
b = −0.194413 − 1.116690I
1.77309 + 6.88474I 0
u = −0.335561 − 1.288140I
a = 0.043317 + 0.657021I
b = −0.194413 + 1.116690I
1.77309 − 6.88474I 0
u = 1.330430 + 0.121722I
a = 0.07052 − 2.09110I
b = 0.303332 − 1.355630I
−4.73899 − 11.22810I 0
u = 1.330430 − 0.121722I
a = 0.07052 + 2.09110I
b = 0.303332 + 1.355630I
−4.73899 + 11.22810I 0
u = −1.135830 + 0.718751I
a = −1.21812 + 1.72414I
b = 0.57042 + 1.44790I
0.9517 + 19.8390I 0
u = −1.135830 − 0.718751I
a = −1.21812 − 1.72414I
b = 0.57042 − 1.44790I
0.9517 − 19.8390I 0
u = 0.641706 + 0.066496I
a = −0.20517 − 1.64497I
b = 0.864414 − 0.645608I
0.68857 + 2.10355I 0. − 3.94558I
u = 0.641706 − 0.066496I
a = −0.20517 + 1.64497I
b = 0.864414 + 0.645608I
0.68857 − 2.10355I 0. + 3.94558I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.161540 + 0.714210I
a = 0.87176 − 1.47173I
b = −0.530899 − 1.134910I
3.49320 + 11.79610I 0
u = −1.161540 − 0.714210I
a = 0.87176 + 1.47173I
b = −0.530899 + 1.134910I
3.49320 − 11.79610I 0
u = −0.240566 + 0.582744I
a = 0.523679 + 0.256251I
b = −0.495624 + 0.653225I
0.82721 − 1.34235I 5.04365 + 4.25840I
u = −0.240566 − 0.582744I
a = 0.523679 − 0.256251I
b = −0.495624 − 0.653225I
0.82721 + 1.34235I 5.04365 − 4.25840I
u = 1.338070 + 0.308757I
a = 0.28460 + 1.54075I
b = −0.012825 + 1.078030I
−2.83409 − 2.36436I 0
u = 1.338070 − 0.308757I
a = 0.28460 − 1.54075I
b = −0.012825 − 1.078030I
−2.83409 + 2.36436I 0
u = 1.182530 + 0.702549I
a = 1.07612 + 1.79385I
b = −0.386286 + 1.340960I
2.00693 − 10.07090I 0
u = 1.182530 − 0.702549I
a = 1.07612 − 1.79385I
b = −0.386286 − 1.340960I
2.00693 + 10.07090I 0
u = −0.554682 + 0.285078I
a = 2.31767 + 0.13868I
b = −0.338948 − 0.202228I
2.38892 − 0.23468I 4.97576 − 5.77487I
u = −0.554682 − 0.285078I
a = 2.31767 − 0.13868I
b = −0.338948 + 0.202228I
2.38892 + 0.23468I 4.97576 + 5.77487I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.322587 + 0.530874I
a = 0.459929 + 1.014170I
b = 0.393038 + 0.502379I
0.26511 − 1.89120I 1.41722 + 2.98387I
u = 0.322587 − 0.530874I
a = 0.459929 − 1.014170I
b = 0.393038 − 0.502379I
0.26511 + 1.89120I 1.41722 − 2.98387I
u = −1.25998 + 0.73185I
a = −0.829599 + 1.084760I
b = 0.045838 + 1.014070I
−2.47978 + 2.90692I 0
u = −1.25998 − 0.73185I
a = −0.829599 − 1.084760I
b = 0.045838 − 1.014070I
−2.47978 − 2.90692I 0
u = 1.09884 + 0.96161I
a = −0.683291 − 0.914299I
b = 0.121174 − 1.288090I
−0.97027 − 3.80685I 0
u = 1.09884 − 0.96161I
a = −0.683291 + 0.914299I
b = 0.121174 + 1.288090I
−0.97027 + 3.80685I 0
u = 0.456728 + 0.116700I
a = −3.55119 + 0.05805I
b = −0.454594 − 0.970457I
1.43103 − 3.00743I −4.75841 + 2.23933I
u = 0.456728 − 0.116700I
a = −3.55119 − 0.05805I
b = −0.454594 + 0.970457I
1.43103 + 3.00743I −4.75841 − 2.23933I
u = −1.52623 + 0.17082I
a = 0.24299 − 1.77972I
b = −0.035262 − 1.194020I
−3.36742 − 0.16093I 0
u = −1.52623 − 0.17082I
a = 0.24299 + 1.77972I
b = −0.035262 + 1.194020I
−3.36742 + 0.16093I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.158281 + 0.427989I
a = 1.086780 − 0.042665I
b = −0.521113 + 1.108420I
−0.68140 − 3.01480I −2.32087 + 2.32409I
u = 0.158281 − 0.427989I
a = 1.086780 + 0.042665I
b = −0.521113 − 1.108420I
−0.68140 + 3.01480I −2.32087 − 2.32409I
20
II. I
u
2
= h−26479u
31
+ 2745u
30
+ · · · + 5497b − 38311, −1.13 × 10
6
u
31
+
1.89 × 10
5
u
30
+ · · · + 1.59 × 10
5
a − 2.10 × 10
6
, u
32
− 8u
30
+ · · · + 3u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
7.08829u
31
− 1.18347u
30
+ ··· + 10.7329u + 13.1857
4.81699u
31
− 0.499363u
30
+ ··· + 10.6927u + 6.96944
a
5
=
5.06478u
31
− 3.60217u
30
+ ··· + 5.91296u + 6.17980
u
31
− 7u
29
+ ··· − u − 1
a
8
=
1.50828u
31
− 3.22222u
30
+ ··· + 14.2575u + 5.80456
−0.690847u
31
− 1.07743u
30
+ ··· + 7.17233u + 3.37171
a
10
=
2.27130u
31
− 0.684104u
30
+ ··· + 0.0401598u + 6.21628
4.81699u
31
− 0.499363u
30
+ ··· + 10.6927u + 6.96944
a
4
=
−13.0576u
31
+ 8.38066u
30
+ ··· − 39.4981u − 23.8923
−1.49838u
31
+ 1.52009u
30
+ ··· − 7.76350u − 3.44705
a
9
=
2.06651u
31
+ 0.244610u
30
+ ··· + 0.721792u + 6.60355
4.07169u
31
− 0.584074u
30
+ ··· + 8.63086u + 6.44935
a
12
=
0.758345u
31
+ 2.62563u
30
+ ··· + 7.30234u + 8.45269
1.76754u
31
− 0.405632u
30
+ ··· + 2.84489u + 2.15999
(ii) Obstruction class = 1
(iii) Cusp Shapes =
6294202
159413
u
31
−
3055909
159413
u
30
+ ··· +
12713037
159413
u +
8598992
159413
21
(iv) u-Polynomials at the component
22
Crossings u-Polynomials at each crossing
c
1
u
32
− 16u
31
+ ··· − 13u + 1
c
2
u
32
− 8u
30
+ ··· − 3u + 1
c
3
u
32
− 6u
30
+ ··· − 4u + 1
c
4
u
32
− u
31
+ ··· + 15u
2
+ 1
c
5
u
32
+ 12u
30
+ ··· + 5u + 1
c
6
u
32
− 8u
30
+ ··· + 3u + 1
c
7
u
32
+ 2u
31
+ ··· − 8u + 1
c
8
u
32
− u
31
+ ··· − 4u + 1
c
9
u
32
− 14u
30
+ ··· − 44u + 11
c
10
u
32
+ 12u
30
+ ··· − 5u + 1
c
11
u
32
− 6u
30
+ ··· + 2u + 1
c
12
u
32
− 14u
30
+ ··· + 44u + 11
23
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
32
+ 8y
31
+ ··· + 7y + 1
c
2
, c
6
y
32
− 16y
31
+ ··· − 13y + 1
c
3
y
32
− 12y
31
+ ··· − 14y + 1
c
4
y
32
+ 9y
31
+ ··· + 30y + 1
c
5
, c
10
y
32
+ 24y
31
+ ··· + 49y + 1
c
7
y
32
− 6y
31
+ ··· − 12y + 1
c
8
y
32
− 5y
31
+ ··· + 10y + 1
c
9
, c
12
y
32
− 28y
31
+ ··· − 2508y + 121
c
11
y
32
− 12y
31
+ ··· − 2y + 1
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.615368 + 0.789600I
a = 0.087021 + 0.668309I
b = −0.318506 + 0.829126I
0.18681 − 4.02306I 4.02027 + 5.71072I
u = 0.615368 − 0.789600I
a = 0.087021 − 0.668309I
b = −0.318506 − 0.829126I
0.18681 + 4.02306I 4.02027 − 5.71072I
u = 0.772369 + 0.562912I
a = −1.40093 − 1.44470I
b = 1.09438 − 0.98325I
2.47144 + 1.25345I −1.40853 − 6.35420I
u = 0.772369 − 0.562912I
a = −1.40093 + 1.44470I
b = 1.09438 + 0.98325I
2.47144 − 1.25345I −1.40853 + 6.35420I
u = 1.035230 + 0.238946I
a = 1.33854 + 1.77837I
b = 0.13899 + 1.44826I
−3.18191 − 0.80406I −5.79125 + 4.03239I
u = 1.035230 − 0.238946I
a = 1.33854 − 1.77837I
b = 0.13899 − 1.44826I
−3.18191 + 0.80406I −5.79125 − 4.03239I
u = 0.907928 + 0.205440I
a = 0.08277 + 2.84353I
b = 0.03127 + 1.51234I
−7.41909 − 0.89346I 3.55183 + 9.59848I
u = 0.907928 − 0.205440I
a = 0.08277 − 2.84353I
b = 0.03127 − 1.51234I
−7.41909 + 0.89346I 3.55183 − 9.59848I
u = −1.054870 + 0.175754I
a = 0.133477 − 0.465569I
b = −0.356101 − 0.370766I
−0.294687 − 0.470796I −2.75341 − 2.35111I
u = −1.054870 − 0.175754I
a = 0.133477 + 0.465569I
b = −0.356101 + 0.370766I
−0.294687 + 0.470796I −2.75341 + 2.35111I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.933212 + 0.586055I
a = −0.468986 + 0.710022I
b = −1.158080 − 0.677112I
1.93402 − 5.84401I −0.76424 + 11.45101I
u = 0.933212 − 0.586055I
a = −0.468986 − 0.710022I
b = −1.158080 + 0.677112I
1.93402 + 5.84401I −0.76424 − 11.45101I
u = 0.250514 + 0.823648I
a = 0.588258 − 1.181840I
b = 0.210478 − 0.985969I
2.54752 − 5.98225I 2.43276 + 4.77208I
u = 0.250514 − 0.823648I
a = 0.588258 + 1.181840I
b = 0.210478 + 0.985969I
2.54752 + 5.98225I 2.43276 − 4.77208I
u = −1.022740 + 0.503434I
a = −1.10903 + 2.00116I
b = 0.749499 + 1.176570I
−2.15467 + 6.28202I 1.82594 − 11.38717I
u = −1.022740 − 0.503434I
a = −1.10903 − 2.00116I
b = 0.749499 − 1.176570I
−2.15467 − 6.28202I 1.82594 + 11.38717I
u = 0.875991 + 0.758352I
a = 0.276975 − 0.871930I
b = −0.024633 + 0.244289I
6.16423 − 2.86880I 9.14034 + 2.25780I
u = 0.875991 − 0.758352I
a = 0.276975 + 0.871930I
b = −0.024633 − 0.244289I
6.16423 + 2.86880I 9.14034 − 2.25780I
u = −0.628826 + 0.552150I
a = 1.59454 − 0.63781I
b = 0.504831 − 1.154620I
2.10078 + 3.61681I 2.05377 − 7.56854I
u = −0.628826 − 0.552150I
a = 1.59454 + 0.63781I
b = 0.504831 + 1.154620I
2.10078 − 3.61681I 2.05377 + 7.56854I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.696235 + 0.427334I
a = 0.024540 − 0.491594I
b = −0.795794 + 0.898211I
−0.95883 − 2.37089I 2.28576 + 1.33523I
u = −0.696235 − 0.427334I
a = 0.024540 + 0.491594I
b = −0.795794 − 0.898211I
−0.95883 + 2.37089I 2.28576 − 1.33523I
u = −1.111200 + 0.613834I
a = 1.58321 − 1.93450I
b = −0.372304 − 1.181190I
0.19464 + 10.57390I −0.31764 − 10.42332I
u = −1.111200 − 0.613834I
a = 1.58321 + 1.93450I
b = −0.372304 + 1.181190I
0.19464 − 10.57390I −0.31764 + 10.42332I
u = −0.469854 + 0.518228I
a = −2.02531 − 0.98558I
b = 0.353040 − 1.006530I
2.23888 − 5.70366I 2.39748 + 7.68589I
u = −0.469854 − 0.518228I
a = −2.02531 + 0.98558I
b = 0.353040 + 1.006530I
2.23888 + 5.70366I 2.39748 − 7.68589I
u = −0.624236 + 0.123767I
a = 2.59111 + 0.59544I
b = −0.224218 + 0.468925I
2.25602 − 0.77725I 1.95018 + 5.87317I
u = −0.624236 − 0.123767I
a = 2.59111 − 0.59544I
b = −0.224218 − 0.468925I
2.25602 + 0.77725I 1.95018 − 5.87317I
u = 1.398230 + 0.067906I
a = 0.38167 + 1.91257I
b = 0.028832 + 1.217920I
−3.30160 − 1.14573I −2.29360 + 3.30035I
u = 1.398230 − 0.067906I
a = 0.38167 − 1.91257I
b = 0.028832 − 1.217920I
−3.30160 + 1.14573I −2.29360 − 3.30035I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.18088 + 0.85568I
a = −0.677860 + 1.044310I
b = 0.138317 + 1.145980I
−2.78356 + 3.82658I −7.82967 − 9.67895I
u = −1.18088 − 0.85568I
a = −0.677860 − 1.044310I
b = 0.138317 − 1.145980I
−2.78356 − 3.82658I −7.82967 + 9.67895I
29
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
32
− 16u
31
+ ··· − 13u + 1)
· (u
152
+ 63u
151
+ ··· + 4922785u + 134689)
c
2
(u
32
− 8u
30
+ ··· − 3u + 1)(u
152
− u
151
+ ··· + 1379u + 367)
c
3
(u
32
− 6u
30
+ ··· − 4u + 1)(u
152
+ u
151
+ ··· + 589492u + 19909)
c
4
(u
32
− u
31
+ ··· + 15u
2
+ 1)(u
152
+ 4u
151
+ ··· + 5694u + 7057)
c
5
(u
32
+ 12u
30
+ ··· + 5u + 1)(u
152
+ u
151
+ ··· − 226661u + 18163)
c
6
(u
32
− 8u
30
+ ··· + 3u + 1)(u
152
− u
151
+ ··· + 1379u + 367)
c
7
(u
32
+ 2u
31
+ ··· − 8u + 1)(u
152
− 9u
151
+ ··· − 50u + 1)
c
8
(u
32
− u
31
+ ··· − 4u + 1)(u
152
− 4u
151
+ ··· + 22u + 1)
c
9
(u
32
− 14u
30
+ ··· − 44u + 11)(u
152
− 3u
151
+ ··· − 2650u + 223)
c
10
(u
32
+ 12u
30
+ ··· − 5u + 1)(u
152
+ u
151
+ ··· − 226661u + 18163)
c
11
(u
32
− 6u
30
+ ··· + 2u + 1)(u
152
+ 7u
151
+ ··· + 59968u + 7903)
c
12
(u
32
− 14u
30
+ ··· + 44u + 11)(u
152
− 3u
151
+ ··· − 2650u + 223)
30
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
32
+ 8y
31
+ ··· + 7y + 1)
· (y
152
+ 61y
151
+ ··· + 143171208307y + 18141126721)
c
2
, c
6
(y
32
− 16y
31
+ ··· − 13y + 1)
· (y
152
− 63y
151
+ ··· − 4922785y + 134689)
c
3
(y
32
− 12y
31
+ ··· − 14y + 1)
· (y
152
− 27y
151
+ ··· − 116608221282y + 396368281)
c
4
(y
32
+ 9y
31
+ ··· + 30y + 1)
· (y
152
+ 38y
151
+ ··· + 3402431974y + 49801249)
c
5
, c
10
(y
32
+ 24y
31
+ ··· + 49y + 1)
· (y
152
+ 105y
151
+ ··· − 5729591991y + 329894569)
c
7
(y
32
− 6y
31
+ ··· − 12y + 1)(y
152
− 5y
151
+ ··· − 68y + 1)
c
8
(y
32
− 5y
31
+ ··· + 10y + 1)(y
152
− 8y
151
+ ··· − 22y + 1)
c
9
, c
12
(y
32
− 28y
31
+ ··· − 2508y + 121)
· (y
152
− 119y
151
+ ··· − 2364476y + 49729)
c
11
(y
32
− 12y
31
+ ··· − 2y + 1)
· (y
152
− 39y
151
+ ··· − 5965053662y + 62457409)
31
