12a
0671
(K12a
0671
)
A knot diagram
1
Linearized knot diagam
3 7 11 9 10 2 6 12 5 1 8 4
Solving Sequence
2,7 3,11
4 1 6 8 12 9 10 5
c
2
c
3
c
1
c
6
c
7
c
11
c
8
c
10
c
5
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.92237 × 10
100
u
108
− 3.61566 × 10
100
u
107
+ ··· + 1.78606 × 10
100
b − 3.08465 × 10
100
,
− 2.89446 × 10
101
u
108
− 5.42772 × 10
101
u
107
+ ··· + 1.78606 × 10
100
a − 1.31985 × 10
101
,
u
109
+ u
108
+ ··· + 10u − 1i
I
u
2
= h−u
20
− u
19
+ ··· + b − 3, −u
22
+ 2u
21
+ ··· + a − 1, u
23
− 5u
21
+ ··· − 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 132 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−1.92 × 10
100
u
108
− 3.62 × 10
100
u
107
+ · · · + 1.79 × 10
100
b − 3.08 ×
10
100
, −2.89 × 10
101
u
108
− 5.43 × 10
101
u
107
+ · · · + 1.79 × 10
100
a − 1.32 ×
10
101
, u
109
+ u
108
+ · · · + 10u − 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
11
=
16.2058u
108
+ 30.3893u
107
+ ··· − 103.585u + 7.38970
1.07632u
108
+ 2.02437u
107
+ ··· − 24.4693u + 1.72707
a
4
=
16.1376u
108
+ 29.6267u
107
+ ··· − 211.100u + 13.6064
−0.507290u
108
+ 0.244275u
107
+ ··· − 19.1382u + 2.40150
a
1
=
−u
2
+ 1
−u
4
a
6
=
u
u
a
8
=
−u
3
−u
3
+ u
a
12
=
13.4025u
108
+ 25.0901u
107
+ ··· − 70.9837u + 3.69015
2.66737u
108
+ 4.81907u
107
+ ··· − 40.4827u + 3.47285
a
9
=
−3.92705u
108
− 7.20511u
107
+ ··· + 123.240u − 24.3039
0.837452u
108
+ 1.66048u
107
+ ··· − 24.7677u + 2.01931
a
10
=
13.6961u
108
+ 25.6228u
107
+ ··· − 64.9328u + 3.98819
4.49802u
108
+ 8.50763u
107
+ ··· − 61.1198u + 5.92669
a
5
=
10.8262u
108
+ 20.1177u
107
+ ··· − 241.671u + 34.8996
1.08067u
108
+ 3.65306u
107
+ ··· − 4.07720u + 1.97100
(ii) Obstruction class = −1
(iii) Cusp Shapes = 11.1833u
108
+ 17.5047u
107
+ ··· − 122.870u + 3.28325
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
109
+ 37u
108
+ ··· − 60u + 1
c
2
, c
6
u
109
− u
108
+ ··· + 10u + 1
c
3
u
109
− 2u
108
+ ··· − 459u + 1
c
4
, c
5
, c
9
u
109
+ 2u
108
+ ··· + 40u − 1
c
8
, c
11
u
109
− u
108
+ ··· − 97637u − 7349
c
10
u
109
+ 18u
108
+ ··· − 362u − 23
c
12
u
109
+ 9u
108
+ ··· − 14547114u − 1528393
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
109
+ 79y
108
+ ··· − 2776y −1
c
2
, c
6
y
109
− 37y
108
+ ··· − 60y −1
c
3
y
109
− 6y
108
+ ··· + 216063y −1
c
4
, c
5
, c
9
y
109
− 114y
108
+ ··· + 452y −1
c
8
, c
11
y
109
− 87y
108
+ ··· + 1137045229y −54007801
c
10
y
109
− 2y
108
+ ··· + 48520y −529
c
12
y
109
+ 39y
108
+ ··· − 12624874256492y −2335985162449
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.757521 + 0.654861I
a = −2.38158 − 1.74417I
b = 0.08276 − 2.88669I
−7.43416 − 3.17097I 0
u = 0.757521 − 0.654861I
a = −2.38158 + 1.74417I
b = 0.08276 + 2.88669I
−7.43416 + 3.17097I 0
u = 0.729944 + 0.700232I
a = −2.08691 + 0.64492I
b = −1.57108 − 0.46927I
−6.85009 + 2.62379I 0
u = 0.729944 − 0.700232I
a = −2.08691 − 0.64492I
b = −1.57108 + 0.46927I
−6.85009 − 2.62379I 0
u = −0.780734 + 0.671106I
a = 1.84205 − 1.35198I
b = −1.00815 − 2.28812I
−7.08845 − 1.59430I 0
u = −0.780734 − 0.671106I
a = 1.84205 + 1.35198I
b = −1.00815 + 2.28812I
−7.08845 + 1.59430I 0
u = −0.968406 + 0.021685I
a = 0.127612 + 1.101330I
b = 1.49378 − 0.11378I
−11.75740 + 2.95734I 0
u = −0.968406 − 0.021685I
a = 0.127612 − 1.101330I
b = 1.49378 + 0.11378I
−11.75740 − 2.95734I 0
u = 0.548077 + 0.879929I
a = 1.154190 + 0.225490I
b = 0.448255 + 1.259180I
−1.42401 + 2.06555I 0
u = 0.548077 − 0.879929I
a = 1.154190 − 0.225490I
b = 0.448255 − 1.259180I
−1.42401 − 2.06555I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.754622 + 0.712142I
a = 0.836552 − 0.225810I
b = −0.126127 + 0.404393I
−6.45582 + 2.81407I 0
u = −0.754622 − 0.712142I
a = 0.836552 + 0.225810I
b = −0.126127 − 0.404393I
−6.45582 − 2.81407I 0
u = 0.946926 + 0.127529I
a = 0.303704 + 1.195290I
b = 0.994773 − 0.391677I
−4.71729 − 1.89289I 0
u = 0.946926 − 0.127529I
a = 0.303704 − 1.195290I
b = 0.994773 + 0.391677I
−4.71729 + 1.89289I 0
u = 1.021810 + 0.231255I
a = −0.33715 − 1.62559I
b = −0.192202 − 1.057940I
−7.48971 − 5.29882I 0
u = 1.021810 − 0.231255I
a = −0.33715 + 1.62559I
b = −0.192202 + 1.057940I
−7.48971 + 5.29882I 0
u = 0.664417 + 0.818130I
a = 0.0197069 − 0.0953946I
b = −0.304121 − 0.380597I
0.172315 + 1.189790I 0
u = 0.664417 − 0.818130I
a = 0.0197069 + 0.0953946I
b = −0.304121 + 0.380597I
0.172315 − 1.189790I 0
u = 0.942960 + 0.024224I
a = −1.61556 + 1.70960I
b = −1.75996 + 0.62059I
−11.32070 + 2.15172I 0
u = 0.942960 − 0.024224I
a = −1.61556 − 1.70960I
b = −1.75996 − 0.62059I
−11.32070 − 2.15172I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.667180 + 0.825815I
a = 1.223070 − 0.294645I
b = 0.43878 − 1.46808I
3.60134 − 0.88112I 0
u = −0.667180 − 0.825815I
a = 1.223070 + 0.294645I
b = 0.43878 + 1.46808I
3.60134 + 0.88112I 0
u = −0.910297 + 0.182675I
a = 0.05108 + 1.53159I
b = −0.012611 + 0.601094I
−1.11784 + 3.25568I 0
u = −0.910297 − 0.182675I
a = 0.05108 − 1.53159I
b = −0.012611 − 0.601094I
−1.11784 − 3.25568I 0
u = −0.916467 + 0.105962I
a = −1.47933 + 0.80832I
b = −1.295740 + 0.156353I
−4.63698 + 1.54505I 0
u = −0.916467 − 0.105962I
a = −1.47933 − 0.80832I
b = −1.295740 − 0.156353I
−4.63698 − 1.54505I 0
u = −1.045770 + 0.260850I
a = 0.425415 − 0.295608I
b = −0.361374 + 0.044575I
−7.36479 + 0.95992I 0
u = −1.045770 − 0.260850I
a = 0.425415 + 0.295608I
b = −0.361374 − 0.044575I
−7.36479 − 0.95992I 0
u = −0.746972 + 0.785182I
a = −1.62030 + 1.68357I
b = 0.52640 + 2.71040I
1.23609 − 0.96235I 0
u = −0.746972 − 0.785182I
a = −1.62030 − 1.68357I
b = 0.52640 − 2.71040I
1.23609 + 0.96235I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.874340 + 0.640439I
a = −1.66960 − 1.62311I
b = −2.20161 − 0.84243I
−2.14128 + 2.49432I 0
u = −0.874340 − 0.640439I
a = −1.66960 + 1.62311I
b = −2.20161 + 0.84243I
−2.14128 − 2.49432I 0
u = −1.070630 + 0.211523I
a = 0.282338 − 0.931420I
b = 0.737697 + 0.025450I
−5.45009 + 7.28829I 0
u = −1.070630 − 0.211523I
a = 0.282338 + 0.931420I
b = 0.737697 − 0.025450I
−5.45009 − 7.28829I 0
u = 0.801613 + 0.741980I
a = 1.177120 + 0.672387I
b = −0.31159 + 1.41483I
0.744030 + 0.275497I 0
u = 0.801613 − 0.741980I
a = 1.177120 − 0.672387I
b = −0.31159 − 1.41483I
0.744030 − 0.275497I 0
u = 0.872388 + 0.660519I
a = 0.736952 + 0.278844I
b = −0.149117 − 0.307104I
−1.81293 − 2.56112I 0
u = 0.872388 − 0.660519I
a = 0.736952 − 0.278844I
b = −0.149117 + 0.307104I
−1.81293 + 2.56112I 0
u = −0.820702 + 0.731951I
a = 1.48065 − 0.83125I
b = 0.60292 − 2.46462I
3.23107 + 1.73998I 0
u = −0.820702 − 0.731951I
a = 1.48065 + 0.83125I
b = 0.60292 + 2.46462I
3.23107 − 1.73998I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.708595 + 0.849766I
a = −1.32481 − 1.23680I
b = 0.45487 − 2.33477I
1.63542 + 7.05819I 0
u = 0.708595 − 0.849766I
a = −1.32481 + 1.23680I
b = 0.45487 + 2.33477I
1.63542 − 7.05819I 0
u = 0.766882 + 0.798279I
a = 1.117560 + 0.523483I
b = 0.33869 + 2.07687I
5.09592 + 1.88312I 0
u = 0.766882 − 0.798279I
a = 1.117560 − 0.523483I
b = 0.33869 − 2.07687I
5.09592 − 1.88312I 0
u = −0.666831 + 0.886363I
a = −1.29237 + 0.96663I
b = 0.32549 + 2.22228I
−5.21668 − 11.49540I 0
u = −0.666831 − 0.886363I
a = −1.29237 − 0.96663I
b = 0.32549 − 2.22228I
−5.21668 + 11.49540I 0
u = −0.730286 + 0.840472I
a = 0.962529 − 0.334195I
b = 0.24024 − 1.99358I
−0.47926 − 4.63607I 0
u = −0.730286 − 0.840472I
a = 0.962529 + 0.334195I
b = 0.24024 + 1.99358I
−0.47926 + 4.63607I 0
u = −0.203735 + 0.847268I
a = −0.913823 − 0.702131I
b = −0.518050 + 0.019884I
−7.91294 + 7.70080I 0
u = −0.203735 − 0.847268I
a = −0.913823 + 0.702131I
b = −0.518050 − 0.019884I
−7.91294 − 7.70080I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.071400 + 0.359084I
a = −0.844959 + 0.309902I
b = −0.831384 + 0.443664I
−4.60132 + 0.47894I 0
u = 1.071400 − 0.359084I
a = −0.844959 − 0.309902I
b = −0.831384 − 0.443664I
−4.60132 − 0.47894I 0
u = −0.933882 + 0.673532I
a = −2.29363 − 0.35276I
b = −1.72152 + 2.45983I
−7.56388 + 6.81266I 0
u = −0.933882 − 0.673532I
a = −2.29363 + 0.35276I
b = −1.72152 − 2.45983I
−7.56388 − 6.81266I 0
u = 0.944981 + 0.664181I
a = 2.63039 + 0.99923I
b = 1.49622 + 3.27706I
−8.01374 − 1.97896I 0
u = 0.944981 − 0.664181I
a = 2.63039 − 0.99923I
b = 1.49622 − 3.27706I
−8.01374 + 1.97896I 0
u = −0.825360 + 0.810730I
a = −0.351958 + 0.038361I
b = −0.461158 + 0.784953I
3.69246 + 2.73336I 0
u = −0.825360 − 0.810730I
a = −0.351958 − 0.038361I
b = −0.461158 − 0.784953I
3.69246 − 2.73336I 0
u = −0.914569 + 0.714983I
a = −2.01266 + 1.15756I
b = −0.42735 + 2.28739I
2.94037 + 3.78002I 0
u = −0.914569 − 0.714983I
a = −2.01266 − 1.15756I
b = −0.42735 − 2.28739I
2.94037 − 3.78002I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.803599 + 0.854536I
a = 1.147680 + 0.373908I
b = 0.242272 + 1.334430I
0.412018 − 0.093629I 0
u = 0.803599 − 0.854536I
a = 1.147680 − 0.373908I
b = 0.242272 − 1.334430I
0.412018 + 0.093629I 0
u = 1.158320 + 0.190368I
a = 0.167754 + 0.893444I
b = 0.764203 + 0.173838I
−12.5905 − 10.9283I 0
u = 1.158320 − 0.190368I
a = 0.167754 − 0.893444I
b = 0.764203 − 0.173838I
−12.5905 + 10.9283I 0
u = 1.17539
a = 0.146207
b = −0.458837
−2.69505 0
u = −0.952369 + 0.691740I
a = 0.681656 − 0.231065I
b = −0.228720 + 0.289424I
−7.05734 + 2.58024I 0
u = −0.952369 − 0.691740I
a = 0.681656 + 0.231065I
b = −0.228720 − 0.289424I
−7.05734 − 2.58024I 0
u = 0.961775 + 0.681851I
a = −0.53426 + 1.66060I
b = −1.36616 + 1.77671I
−7.54900 − 7.95504I 0
u = 0.961775 − 0.681851I
a = −0.53426 − 1.66060I
b = −1.36616 − 1.77671I
−7.54900 + 7.95504I 0
u = 0.818966 + 0.001554I
a = 0.580471 − 0.902945I
b = −0.152851 − 0.091712I
−1.210960 − 0.096547I −9.04698 − 0.49427I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.818966 − 0.001554I
a = 0.580471 + 0.902945I
b = −0.152851 + 0.091712I
−1.210960 + 0.096547I −9.04698 + 0.49427I
u = 0.942952 + 0.731192I
a = −1.396530 − 0.114290I
b = −0.91940 − 1.78644I
0.31573 − 5.89812I 0
u = 0.942952 − 0.731192I
a = −1.396530 + 0.114290I
b = −0.91940 + 1.78644I
0.31573 + 5.89812I 0
u = −0.927838 + 0.761144I
a = 0.785208 − 0.313176I
b = 0.127500 − 0.639227I
3.36844 + 3.15964I 0
u = −0.927838 − 0.761144I
a = 0.785208 + 0.313176I
b = 0.127500 + 0.639227I
3.36844 − 3.15964I 0
u = −0.976002 + 0.728365I
a = 2.62210 − 0.71878I
b = 1.73953 − 2.92434I
0.53617 + 6.68025I 0
u = −0.976002 − 0.728365I
a = 2.62210 + 0.71878I
b = 1.73953 + 2.92434I
0.53617 − 6.68025I 0
u = 0.968498 + 0.743013I
a = −1.79542 − 0.92011I
b = −0.34001 − 2.09047I
4.47723 − 7.68572I 0
u = 0.968498 − 0.743013I
a = −1.79542 + 0.92011I
b = −0.34001 + 2.09047I
4.47723 + 7.68572I 0
u = −1.24354
a = −0.295996
b = −0.455578
−6.34486 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.163740 + 0.461882I
a = −0.588565 − 0.524656I
b = −0.625090 − 0.695124I
−10.96190 − 2.93658I 0
u = −1.163740 − 0.461882I
a = −0.588565 + 0.524656I
b = −0.625090 + 0.695124I
−10.96190 + 2.93658I 0
u = 0.950969 + 0.815183I
a = −0.842568 − 0.412919I
b = −0.40778 − 1.48632I
−0.03050 − 6.07730I 0
u = 0.950969 − 0.815183I
a = −0.842568 + 0.412919I
b = −0.40778 + 1.48632I
−0.03050 + 6.07730I 0
u = −1.003750 + 0.750910I
a = −1.74420 + 0.88401I
b = −0.21123 + 2.09136I
−1.32070 + 10.58130I 0
u = −1.003750 − 0.750910I
a = −1.74420 − 0.88401I
b = −0.21123 − 2.09136I
−1.32070 − 10.58130I 0
u = −1.25820
a = 0.284074
b = −0.465152
−8.00030 0
u = 1.027540 + 0.728234I
a = 0.543272 + 0.238605I
b = 0.182750 + 0.291395I
−0.91543 − 7.00074I 0
u = 1.027540 − 0.728234I
a = 0.543272 − 0.238605I
b = 0.182750 − 0.291395I
−0.91543 + 7.00074I 0
u = 1.017960 + 0.746887I
a = 2.25197 + 0.69689I
b = 1.39089 + 2.59915I
0.68520 − 13.01410I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.017960 − 0.746887I
a = 2.25197 − 0.69689I
b = 1.39089 − 2.59915I
0.68520 + 13.01410I 0
u = −1.033980 + 0.727418I
a = −1.17694 + 0.90389I
b = −0.30445 + 1.89924I
2.49119 + 6.71148I 0
u = −1.033980 − 0.727418I
a = −1.17694 − 0.90389I
b = −0.30445 − 1.89924I
2.49119 − 6.71148I 0
u = 0.108092 + 0.727423I
a = −0.705735 + 1.003590I
b = −0.527076 + 0.119547I
−1.57724 − 4.30851I −5.52161 + 6.58902I
u = 0.108092 − 0.727423I
a = −0.705735 − 1.003590I
b = −0.527076 − 0.119547I
−1.57724 + 4.30851I −5.52161 − 6.58902I
u = −1.051310 + 0.744994I
a = 2.08694 − 0.83411I
b = 1.12414 − 2.59974I
−6.4016 + 17.5413I 0
u = −1.051310 − 0.744994I
a = 2.08694 + 0.83411I
b = 1.12414 + 2.59974I
−6.4016 − 17.5413I 0
u = 1.093810 + 0.705186I
a = −0.99628 − 1.06833I
b = −0.21003 − 1.86783I
−3.06078 − 7.93711I 0
u = 1.093810 − 0.705186I
a = −0.99628 + 1.06833I
b = −0.21003 + 1.86783I
−3.06078 + 7.93711I 0
u = −0.029661 + 0.692248I
a = 1.018070 + 0.036268I
b = 0.263082 + 0.549286I
−4.07915 + 2.29856I −6.57680 − 3.02901I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.029661 − 0.692248I
a = 1.018070 − 0.036268I
b = 0.263082 − 0.549286I
−4.07915 − 2.29856I −6.57680 + 3.02901I
u = 0.578823
a = 0.741496
b = 1.55224
−0.192881 −16.6490
u = −0.092449 + 0.484993I
a = 1.041030 − 0.007572I
b = 0.568714 − 0.349700I
1.36305 − 0.94955I 2.45800 + 2.47868I
u = −0.092449 − 0.484993I
a = 1.041030 + 0.007572I
b = 0.568714 + 0.349700I
1.36305 + 0.94955I 2.45800 − 2.47868I
u = 0.452989
a = 1.07847
b = −0.150343
−0.830225 −12.7340
u = 0.019446 + 0.429177I
a = 0.09959 − 2.20834I
b = −0.513030 − 0.399473I
−1.93503 + 0.05091I −6.94725 + 0.20740I
u = 0.019446 − 0.429177I
a = 0.09959 + 2.20834I
b = −0.513030 + 0.399473I
−1.93503 − 0.05091I −6.94725 − 0.20740I
u = 0.0597196 + 0.1121540I
a = −7.86863 + 7.87250I
b = −0.536157 − 1.042880I
−8.63048 − 2.56248I −10.54077 − 0.24573I
u = 0.0597196 − 0.1121540I
a = −7.86863 − 7.87250I
b = −0.536157 + 1.042880I
−8.63048 + 2.56248I −10.54077 + 0.24573I
15
II.
I
u
2
= h−u
20
−u
19
+· · ·+b−3, −u
22
+2u
21
+· · ·+a−1, u
23
−5u
21
+· · ·−3u+1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
11
=
u
22
− 2u
21
+ ··· − 7u + 1
u
20
+ u
19
+ ··· − 4u + 3
a
4
=
−2u
22
+ u
21
+ ··· + 10u + 1
u
22
− 5u
20
+ ··· + 2u − 2
a
1
=
−u
2
+ 1
−u
4
a
6
=
u
u
a
8
=
−u
3
−u
3
+ u
a
12
=
u
22
− 2u
21
+ ··· − 9u
2
− 4u
−u
21
+ u
20
+ ··· − 4u + 3
a
9
=
−3u
22
+ 3u
21
+ ··· + 10u − 3
−3u
22
+ 14u
20
+ ··· + 9u − 1
a
10
=
u
22
− u
21
+ ··· − 2u − 2
−u
18
+ 3u
16
+ ··· − 2u + 2
a
5
=
−4u
21
+ u
20
+ ··· − 3u + 4
u
22
− 3u
21
+ ··· − 10u + 2
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −7u
22
−u
21
+36u
20
−3u
19
−117u
18
+18u
17
+265u
16
−67u
15
−458u
14
+154u
13
+631u
12
−
260u
11
−695u
10
+340u
9
+619u
8
−336u
7
−430u
6
+251u
5
+220u
4
−130u
3
−71u
2
+35u−2
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
23
− 10u
22
+ ··· + 23u − 1
c
2
u
23
− 5u
21
+ ··· − 3u + 1
c
3
u
23
+ u
22
+ ··· − 4u − 1
c
4
, c
5
u
23
+ u
22
+ ··· − 3u − 1
c
6
u
23
− 5u
21
+ ··· − 3u − 1
c
7
u
23
+ 10u
22
+ ··· + 23u + 1
c
8
u
23
+ 4u
22
+ ··· − 12u
2
+ 1
c
9
u
23
− u
22
+ ··· − 3u + 1
c
10
u
23
− u
22
+ ··· + 5u + 1
c
11
u
23
− 4u
22
+ ··· + 12u
2
− 1
c
12
u
23
− 4u
22
+ ··· − u + 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
23
+ 14y
22
+ ··· + 179y −1
c
2
, c
6
y
23
− 10y
22
+ ··· + 23y −1
c
3
y
23
+ y
22
+ ··· + 6y −1
c
4
, c
5
, c
9
y
23
− 27y
22
+ ··· + 7y −1
c
8
, c
11
y
23
− 24y
22
+ ··· + 24y −1
c
10
y
23
+ y
22
+ ··· + 23y −1
c
12
y
23
− 6y
22
+ ··· − y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.960230 + 0.247738I
a = −0.445421 − 0.857887I
b = −1.22857 − 1.02551I
−10.05340 − 1.12097I −13.32091 − 0.98428I
u = −0.960230 − 0.247738I
a = −0.445421 + 0.857887I
b = −1.22857 + 1.02551I
−10.05340 + 1.12097I −13.32091 + 0.98428I
u = 0.819933 + 0.661161I
a = 2.49158 + 0.93915I
b = 0.22799 + 2.02762I
−7.17279 + 0.56278I −10.70035 + 2.99996I
u = 0.819933 − 0.661161I
a = 2.49158 − 0.93915I
b = 0.22799 − 2.02762I
−7.17279 − 0.56278I −10.70035 − 2.99996I
u = −0.738987 + 0.776088I
a = 1.54837 − 0.74664I
b = 0.30338 − 2.02562I
2.89135 + 0.01929I −5.10768 − 1.05060I
u = −0.738987 − 0.776088I
a = 1.54837 + 0.74664I
b = 0.30338 + 2.02562I
2.89135 − 0.01929I −5.10768 + 1.05060I
u = 0.626664 + 0.874633I
a = 0.679915 + 0.210529I
b = 0.302668 + 1.034050I
0.85084 + 1.83901I −3.05731 − 3.59039I
u = 0.626664 − 0.874633I
a = 0.679915 − 0.210529I
b = 0.302668 − 1.034050I
0.85084 − 1.83901I −3.05731 + 3.59039I
u = −0.867766 + 0.676830I
a = 1.102970 + 0.481941I
b = 0.803757 + 0.484383I
−1.13113 + 2.61495I −2.02389 − 3.77185I
u = −0.867766 − 0.676830I
a = 1.102970 − 0.481941I
b = 0.803757 − 0.484383I
−1.13113 − 2.61495I −2.02389 + 3.77185I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.11398
a = 0.0770912
b = −0.605386
−2.92512 −22.8200
u = 0.912182 + 0.656074I
a = −1.26157 − 0.67309I
b = −0.45247 − 2.56173I
−7.46677 − 5.68039I −10.93348 + 3.53167I
u = 0.912182 − 0.656074I
a = −1.26157 + 0.67309I
b = −0.45247 + 2.56173I
−7.46677 + 5.68039I −10.93348 − 3.53167I
u = 0.829536 + 0.188784I
a = −1.42070 − 0.44554I
b = −1.070560 + 0.384071I
−3.88437 − 0.86790I −11.41308 − 0.75638I
u = 0.829536 − 0.188784I
a = −1.42070 + 0.44554I
b = −1.070560 − 0.384071I
−3.88437 + 0.86790I −11.41308 + 0.75638I
u = −0.745541 + 0.273275I
a = −2.60016 + 1.02472I
b = −0.518795 + 0.751084I
−9.23121 + 3.43605I −15.5954 − 5.1539I
u = −0.745541 − 0.273275I
a = −2.60016 − 1.02472I
b = −0.518795 − 0.751084I
−9.23121 − 3.43605I −15.5954 + 5.1539I
u = −0.981898 + 0.726177I
a = −1.65996 + 0.88439I
b = −0.68579 + 2.28734I
2.15154 + 5.67157I −6.20081 − 3.57747I
u = −0.981898 − 0.726177I
a = −1.65996 − 0.88439I
b = −0.68579 − 2.28734I
2.15154 − 5.67157I −6.20081 + 3.57747I
u = −1.29626
a = 0.174740
b = −0.206960
−6.05347 4.81490
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.060990 + 0.746848I
a = −0.941055 − 0.587804I
b = −0.273001 − 1.296020I
−0.44369 − 7.85664I −6.66007 + 9.03938I
u = 1.060990 − 0.746848I
a = −0.941055 + 0.587804I
b = −0.273001 + 1.296020I
−0.44369 + 7.85664I −6.66007 − 9.03938I
u = 0.272505
a = −1.23978
b = 0.995105
0.290959 1.03140
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
23
− 10u
22
+ ··· + 23u − 1)(u
109
+ 37u
108
+ ··· − 60u + 1)
c
2
(u
23
− 5u
21
+ ··· − 3u + 1)(u
109
− u
108
+ ··· + 10u + 1)
c
3
(u
23
+ u
22
+ ··· − 4u − 1)(u
109
− 2u
108
+ ··· − 459u + 1)
c
4
, c
5
(u
23
+ u
22
+ ··· − 3u − 1)(u
109
+ 2u
108
+ ··· + 40u − 1)
c
6
(u
23
− 5u
21
+ ··· − 3u − 1)(u
109
− u
108
+ ··· + 10u + 1)
c
7
(u
23
+ 10u
22
+ ··· + 23u + 1)(u
109
+ 37u
108
+ ··· − 60u + 1)
c
8
(u
23
+ 4u
22
+ ··· − 12u
2
+ 1)(u
109
− u
108
+ ··· − 97637u − 7349)
c
9
(u
23
− u
22
+ ··· − 3u + 1)(u
109
+ 2u
108
+ ··· + 40u − 1)
c
10
(u
23
− u
22
+ ··· + 5u + 1)(u
109
+ 18u
108
+ ··· − 362u − 23)
c
11
(u
23
− 4u
22
+ ··· + 12u
2
− 1)(u
109
− u
108
+ ··· − 97637u − 7349)
c
12
(u
23
− 4u
22
+ ··· − u + 1)(u
109
+ 9u
108
+ ··· − 1.45471 × 10
7
u − 1528393)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
23
+ 14y
22
+ ··· + 179y −1)(y
109
+ 79y
108
+ ··· − 2776y −1)
c
2
, c
6
(y
23
− 10y
22
+ ··· + 23y −1)(y
109
− 37y
108
+ ··· − 60y −1)
c
3
(y
23
+ y
22
+ ··· + 6y −1)(y
109
− 6y
108
+ ··· + 216063y −1)
c
4
, c
5
, c
9
(y
23
− 27y
22
+ ··· + 7y −1)(y
109
− 114y
108
+ ··· + 452y −1)
c
8
, c
11
(y
23
− 24y
22
+ ··· + 24y −1)
· (y
109
− 87y
108
+ ··· + 1137045229y −54007801)
c
10
(y
23
+ y
22
+ ··· + 23y −1)(y
109
− 2y
108
+ ··· + 48520y −529)
c
12
(y
23
− 6y
22
+ ··· − y −1)
· (y
109
+ 39y
108
+ ··· − 12624874256492y −2335985162449)
23
