12a
0980
(K12a
0980
)
A knot diagram
1
Linearized knot diagam
4 6 11 8 10 3 1 5 12 2 7 9
Solving Sequence
5,9
8
1,4
2 7 12 10 6 11 3
c
8
c
4
c
1
c
7
c
12
c
9
c
5
c
11
c
3
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.36657 × 10
1094
u
178
6.23884 × 10
1094
u
177
+ ··· + 5.80635 × 10
1093
b + 2.12651 × 10
1098
,
9.79404 × 10
1098
u
178
2.54297 × 10
1099
u
177
+ ··· + 1.03893 × 10
1098
a + 4.07247 × 10
1103
,
u
179
+ u
178
+ ··· 56442u + 17893i
I
u
2
= h−3.77559 × 10
62
u
50
+ 1.00246 × 10
63
u
49
+ ··· + 1.99308 × 10
62
b + 1.21732 × 10
63
,
1.54082 × 10
61
u
50
+ 1.52437 × 10
62
u
49
+ ··· + 2.84726 × 10
61
a + 2.21864 × 10
62
,
u
51
14u
49
+ ··· + 4u 1i
* 2 irreducible components of dim
C
= 0, with total 230 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−6.37 × 10
1094
u
178
6.24 × 10
1094
u
177
+ · · · + 5.81 × 10
1093
b +
2.13 × 10
1098
, 9.79 × 10
1098
u
178
2.54 × 10
1099
u
177
+ · · · + 1.04 ×
10
1098
a + 4.07 × 10
1103
, u
179
+ u
178
+ · · · 56442u + 17893i
(i) Arc colorings
a
5
=
0
u
a
9
=
1
0
a
8
=
1
u
2
a
1
=
9.42704u
178
+ 24.4768u
177
+ ··· + 942651.u 391987.
10.9648u
178
+ 10.7449u
177
+ ··· 167474.u 36623.9
a
4
=
u
u
3
+ u
a
2
=
0.915545u
178
+ 12.3950u
177
+ ··· + 965308.u 313140.
14.0361u
178
+ 15.3675u
177
+ ··· 103237.u 84350.7
a
7
=
5.94953u
178
+ 9.95972u
177
+ ··· + 1.28611 × 10
6
u 383601.
4.14236u
178
+ 4.34252u
177
+ ··· 74669.5u 15655.1
a
12
=
1.53779u
178
+ 13.7319u
177
+ ··· + 1.11013 × 10
6
u 355363.
10.9648u
178
+ 10.7449u
177
+ ··· 167474.u 36623.9
a
10
=
14.7973u
178
+ 21.7781u
177
+ ··· + 246198.u 211700.
16.1247u
178
+ 25.8989u
177
+ ··· + 467075.u 284144.
a
6
=
11.6170u
178
+ 8.59561u
177
+ ··· 351438.u + 7966.34
5.98509u
178
12.6327u
177
+ ··· 337985.u + 167001.
a
11
=
13.7445u
178
+ 17.0895u
177
+ ··· 7907.38u 109987.
4.88861u
178
+ 9.90097u
177
+ ··· + 304402.u 136238.
a
3
=
14.0038u
178
19.3801u
177
+ ··· 264116.u + 217958.
12.5597u
178
23.7283u
177
+ ··· 635008.u + 309138.
(ii) Obstruction class = 1
(iii) Cusp Shapes
= 66.0926u
178
118.720u
177
+ ··· 2.78433 × 10
6
u + 1.47029 × 10
6
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
179
13u
178
+ ··· + 89605118959u 3985097653
c
2
, c
6
u
179
2u
178
+ ··· 29u + 1
c
3
u
179
3u
178
+ ··· 36410582u 8875751
c
4
, c
8
u
179
u
178
+ ··· 56442u 17893
c
5
u
179
+ 2u
178
+ ··· 2211089289451u + 384248970739
c
7
u
179
15u
177
+ ··· 5920100u 554293
c
9
, c
12
u
179
8u
178
+ ··· + 129296u 16120
c
10
u
179
+ 9u
178
+ ··· + 72454819u 599297
c
11
u
179
32u
177
+ ··· + 11845686300u + 9627412451
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
179
+ 85y
178
+ ··· + 1.82 × 10
21
y 1.59 × 10
19
c
2
, c
6
y
179
120y
178
+ ··· 119y 1
c
3
y
179
+ 55y
178
+ ··· 2321290894230492y 78778955814001
c
4
, c
8
y
179
111y
178
+ ··· + 20997393572y 320159449
c
5
y
179
88y
178
+ ··· + 7.44 × 10
24
y 1.48 × 10
23
c
7
y
179
30y
178
+ ··· + 17033627997446y 307240729849
c
9
, c
12
y
179
+ 108y
178
+ ··· + 1685942496y 259854400
c
10
y
179
+ 71y
178
+ ··· + 1040989262644787y 359156894209
c
11
y
179
64y
178
+ ··· + 2.73 × 10
21
y 9.27 × 10
19
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.191510 + 0.975345I
a = 0.118476 0.197233I
b = 0.947699 + 0.317526I
4.79126 1.30542I 0
u = 0.191510 0.975345I
a = 0.118476 + 0.197233I
b = 0.947699 0.317526I
4.79126 + 1.30542I 0
u = 0.375219 + 0.907827I
a = 0.100769 + 0.225810I
b = 0.188848 1.139220I
5.45462 0.67402I 0
u = 0.375219 0.907827I
a = 0.100769 0.225810I
b = 0.188848 + 1.139220I
5.45462 + 0.67402I 0
u = 0.946996 + 0.254827I
a = 1.339280 0.439621I
b = 0.062365 0.796418I
0.388929 0.512029I 0
u = 0.946996 0.254827I
a = 1.339280 + 0.439621I
b = 0.062365 + 0.796418I
0.388929 + 0.512029I 0
u = 0.975305 + 0.098384I
a = 0.38360 + 1.53179I
b = 0.06444 + 2.27255I
3.17314 5.97245I 0
u = 0.975305 0.098384I
a = 0.38360 1.53179I
b = 0.06444 2.27255I
3.17314 + 5.97245I 0
u = 0.694979 + 0.746273I
a = 0.297989 0.458844I
b = 0.586488 1.068690I
2.89144 0.09708I 0
u = 0.694979 0.746273I
a = 0.297989 + 0.458844I
b = 0.586488 + 1.068690I
2.89144 + 0.09708I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.116062 + 1.015720I
a = 0.206539 0.424655I
b = 0.341854 + 1.180290I
1.80573 3.51908I 0
u = 0.116062 1.015720I
a = 0.206539 + 0.424655I
b = 0.341854 1.180290I
1.80573 + 3.51908I 0
u = 1.022450 + 0.148399I
a = 1.06383 + 1.34144I
b = 0.430224 + 0.883668I
0.201149 1.026760I 0
u = 1.022450 0.148399I
a = 1.06383 1.34144I
b = 0.430224 0.883668I
0.201149 + 1.026760I 0
u = 1.04026
a = 1.37597
b = 1.38131
6.45100 0
u = 1.028270 + 0.191790I
a = 1.69759 1.10708I
b = 0.500660 1.253070I
1.08260 + 5.29643I 0
u = 1.028270 0.191790I
a = 1.69759 + 1.10708I
b = 0.500660 + 1.253070I
1.08260 5.29643I 0
u = 0.395308 + 0.868172I
a = 0.043328 0.380665I
b = 0.007344 + 1.268340I
3.54685 4.04229I 0
u = 0.395308 0.868172I
a = 0.043328 + 0.380665I
b = 0.007344 1.268340I
3.54685 + 4.04229I 0
u = 0.234582 + 0.914258I
a = 0.533039 + 0.548870I
b = 0.331503 1.024530I
0.38897 + 1.81521I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.234582 0.914258I
a = 0.533039 0.548870I
b = 0.331503 + 1.024530I
0.38897 1.81521I 0
u = 1.055370 + 0.060677I
a = 1.94809 + 0.29399I
b = 0.845985 + 0.870023I
6.97891 0.56802I 0
u = 1.055370 0.060677I
a = 1.94809 0.29399I
b = 0.845985 0.870023I
6.97891 + 0.56802I 0
u = 1.044820 + 0.204391I
a = 1.96034 + 0.56484I
b = 0.86099 + 1.44495I
4.45508 5.23948I 0
u = 1.044820 0.204391I
a = 1.96034 0.56484I
b = 0.86099 1.44495I
4.45508 + 5.23948I 0
u = 0.788571 + 0.493295I
a = 1.284810 + 0.477379I
b = 0.308034 + 0.691588I
1.48051 1.02975I 0
u = 0.788571 0.493295I
a = 1.284810 0.477379I
b = 0.308034 0.691588I
1.48051 + 1.02975I 0
u = 0.925596 + 0.013084I
a = 0.698849 + 0.532216I
b = 0.249552 1.386880I
0.903421 + 0.405747I 0
u = 0.925596 0.013084I
a = 0.698849 0.532216I
b = 0.249552 + 1.386880I
0.903421 0.405747I 0
u = 0.484278 + 0.787433I
a = 0.066392 + 0.304210I
b = 0.580563 + 1.201390I
1.31125 + 7.29801I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.484278 0.787433I
a = 0.066392 0.304210I
b = 0.580563 1.201390I
1.31125 7.29801I 0
u = 1.072350 + 0.115906I
a = 1.86158 1.10211I
b = 0.369327 + 1.113980I
6.99350 + 9.59579I 0
u = 1.072350 0.115906I
a = 1.86158 + 1.10211I
b = 0.369327 1.113980I
6.99350 9.59579I 0
u = 0.797805 + 0.734362I
a = 0.697193 1.051610I
b = 0.187724 + 0.468601I
2.22385 4.22991I 0
u = 0.797805 0.734362I
a = 0.697193 + 1.051610I
b = 0.187724 0.468601I
2.22385 + 4.22991I 0
u = 1.089330 + 0.082965I
a = 2.11407 + 0.72636I
b = 0.321990 0.997454I
3.15679 3.44042I 0
u = 1.089330 0.082965I
a = 2.11407 0.72636I
b = 0.321990 + 0.997454I
3.15679 + 3.44042I 0
u = 1.068920 + 0.230795I
a = 1.58462 0.59878I
b = 0.76662 1.31287I
1.43841 + 4.21089I 0
u = 1.068920 0.230795I
a = 1.58462 + 0.59878I
b = 0.76662 + 1.31287I
1.43841 4.21089I 0
u = 0.893618 + 0.137441I
a = 0.123624 0.813825I
b = 0.11336 1.63515I
0.83450 + 3.38680I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.893618 0.137441I
a = 0.123624 + 0.813825I
b = 0.11336 + 1.63515I
0.83450 3.38680I 0
u = 0.009597 + 0.902263I
a = 0.631888 0.476415I
b = 0.180297 + 1.161690I
1.17829 1.51049I 0
u = 0.009597 0.902263I
a = 0.631888 + 0.476415I
b = 0.180297 1.161690I
1.17829 + 1.51049I 0
u = 0.795290 + 0.404762I
a = 1.51504 0.62301I
b = 0.470451 + 1.030880I
0.79294 2.75953I 0
u = 0.795290 0.404762I
a = 1.51504 + 0.62301I
b = 0.470451 1.030880I
0.79294 + 2.75953I 0
u = 0.885818 + 0.081819I
a = 2.65694 0.88690I
b = 0.199628 0.659956I
1.99440 3.25458I 0
u = 0.885818 0.081819I
a = 2.65694 + 0.88690I
b = 0.199628 + 0.659956I
1.99440 + 3.25458I 0
u = 0.790038 + 0.400109I
a = 2.06005 + 0.39546I
b = 1.143800 0.529162I
4.11819 + 1.31718I 0
u = 0.790038 0.400109I
a = 2.06005 0.39546I
b = 1.143800 + 0.529162I
4.11819 1.31718I 0
u = 0.368314 + 0.786480I
a = 0.055277 1.054380I
b = 0.30421 + 1.38213I
0.75429 5.59436I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.368314 0.786480I
a = 0.055277 + 1.054380I
b = 0.30421 1.38213I
0.75429 + 5.59436I 0
u = 1.141300 + 0.083051I
a = 1.57053 0.51047I
b = 0.442379 + 0.865177I
8.26946 1.83716I 0
u = 1.141300 0.083051I
a = 1.57053 + 0.51047I
b = 0.442379 0.865177I
8.26946 + 1.83716I 0
u = 0.276710 + 1.112220I
a = 0.103126 + 0.516037I
b = 0.626442 1.133640I
2.36728 + 4.36232I 0
u = 0.276710 1.112220I
a = 0.103126 0.516037I
b = 0.626442 + 1.133640I
2.36728 4.36232I 0
u = 0.275018 + 0.801148I
a = 0.073003 + 0.909575I
b = 0.729499 0.190679I
6.49608 + 9.46240I 0
u = 0.275018 0.801148I
a = 0.073003 0.909575I
b = 0.729499 + 0.190679I
6.49608 9.46240I 0
u = 0.951414 + 0.657939I
a = 1.68782 0.15946I
b = 0.796773 + 0.916864I
2.13218 + 5.45756I 0
u = 0.951414 0.657939I
a = 1.68782 + 0.15946I
b = 0.796773 0.916864I
2.13218 5.45756I 0
u = 0.144554 + 1.149850I
a = 0.216287 0.174095I
b = 0.510759 + 0.957280I
4.18934 + 2.17036I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.144554 1.149850I
a = 0.216287 + 0.174095I
b = 0.510759 0.957280I
4.18934 2.17036I 0
u = 1.037100 + 0.529592I
a = 1.82446 0.08271I
b = 0.89977 1.20050I
3.01705 12.23120I 0
u = 1.037100 0.529592I
a = 1.82446 + 0.08271I
b = 0.89977 + 1.20050I
3.01705 + 12.23120I 0
u = 0.346376 + 0.750958I
a = 0.198505 + 0.241752I
b = 0.413113 1.216860I
0.41963 + 5.33170I 0
u = 0.346376 0.750958I
a = 0.198505 0.241752I
b = 0.413113 + 1.216860I
0.41963 5.33170I 0
u = 0.816915 + 0.127889I
a = 1.23300 1.70481I
b = 0.47885 1.67712I
2.85122 + 4.76181I 0
u = 0.816915 0.127889I
a = 1.23300 + 1.70481I
b = 0.47885 + 1.67712I
2.85122 4.76181I 0
u = 0.822937 + 0.015885I
a = 0.360949 0.120252I
b = 0.17133 + 1.46839I
0.05020 4.15344I 0
u = 0.822937 0.015885I
a = 0.360949 + 0.120252I
b = 0.17133 1.46839I
0.05020 + 4.15344I 0
u = 1.078340 + 0.479447I
a = 1.123520 0.089759I
b = 0.52947 1.37164I
1.63166 + 6.37273I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.078340 0.479447I
a = 1.123520 + 0.089759I
b = 0.52947 + 1.37164I
1.63166 6.37273I 0
u = 0.801770
a = 2.96835
b = 1.20745
5.37744 0
u = 1.188800 + 0.196438I
a = 1.25535 + 0.65654I
b = 0.95789 + 1.37969I
5.16568 5.08352I 0
u = 1.188800 0.196438I
a = 1.25535 0.65654I
b = 0.95789 1.37969I
5.16568 + 5.08352I 0
u = 0.772288 + 0.013491I
a = 2.79080 + 1.53448I
b = 0.131268 + 0.625517I
5.76475 + 8.81745I 0
u = 0.772288 0.013491I
a = 2.79080 1.53448I
b = 0.131268 0.625517I
5.76475 8.81745I 0
u = 1.124030 + 0.494970I
a = 1.44326 0.31578I
b = 0.280647 1.111280I
1.17991 0.91573I 0
u = 1.124030 0.494970I
a = 1.44326 + 0.31578I
b = 0.280647 + 1.111280I
1.17991 + 0.91573I 0
u = 1.182700 + 0.332842I
a = 2.19273 + 0.64571I
b = 0.335844 + 1.057860I
0.49381 5.85529I 0
u = 1.182700 0.332842I
a = 2.19273 0.64571I
b = 0.335844 1.057860I
0.49381 + 5.85529I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.706053 + 0.289145I
a = 0.618666 + 0.412008I
b = 0.163361 + 0.832838I
2.73557 3.64954I 0
u = 0.706053 0.289145I
a = 0.618666 0.412008I
b = 0.163361 0.832838I
2.73557 + 3.64954I 0
u = 0.219861 + 0.728037I
a = 0.275643 1.094810I
b = 0.538557 + 0.161565I
1.77929 4.20041I 0
u = 0.219861 0.728037I
a = 0.275643 + 1.094810I
b = 0.538557 0.161565I
1.77929 + 4.20041I 0
u = 0.854353 + 0.903285I
a = 0.399708 0.223974I
b = 0.154240 1.091590I
0.18011 2.39642I 0
u = 0.854353 0.903285I
a = 0.399708 + 0.223974I
b = 0.154240 + 1.091590I
0.18011 + 2.39642I 0
u = 0.126555 + 1.237890I
a = 0.201374 + 0.261483I
b = 0.475752 1.106210I
0.72693 8.29143I 0
u = 0.126555 1.237890I
a = 0.201374 0.261483I
b = 0.475752 + 1.106210I
0.72693 + 8.29143I 0
u = 0.092167 + 1.243940I
a = 0.159980 0.280420I
b = 0.534164 + 1.181950I
3.6088 + 14.3003I 0
u = 0.092167 1.243940I
a = 0.159980 + 0.280420I
b = 0.534164 1.181950I
3.6088 14.3003I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.143450 + 0.558703I
a = 1.50878 + 0.15613I
b = 0.520565 + 1.074370I
3.00244 + 5.99318I 0
u = 1.143450 0.558703I
a = 1.50878 0.15613I
b = 0.520565 1.074370I
3.00244 5.99318I 0
u = 1.182360 + 0.480617I
a = 1.90987 0.05793I
b = 0.374567 1.304610I
1.86761 + 10.39370I 0
u = 1.182360 0.480617I
a = 1.90987 + 0.05793I
b = 0.374567 + 1.304610I
1.86761 10.39370I 0
u = 1.266980 + 0.271325I
a = 1.353550 + 0.266542I
b = 1.170570 + 0.130249I
6.26061 + 2.93785I 0
u = 1.266980 0.271325I
a = 1.353550 0.266542I
b = 1.170570 0.130249I
6.26061 2.93785I 0
u = 1.286460 + 0.171895I
a = 1.59609 0.01924I
b = 1.364240 0.155380I
9.46041 2.58014I 0
u = 1.286460 0.171895I
a = 1.59609 + 0.01924I
b = 1.364240 + 0.155380I
9.46041 + 2.58014I 0
u = 1.249080 + 0.407640I
a = 1.089510 + 0.531724I
b = 1.066740 + 0.682532I
9.49493 1.84699I 0
u = 1.249080 0.407640I
a = 1.089510 0.531724I
b = 1.066740 0.682532I
9.49493 + 1.84699I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.431527 + 0.532213I
a = 1.041410 0.254935I
b = 0.214681 0.052655I
1.92118 + 0.01916I 0
u = 0.431527 0.532213I
a = 1.041410 + 0.254935I
b = 0.214681 + 0.052655I
1.92118 0.01916I 0
u = 0.354079 + 0.568266I
a = 0.128174 + 0.479796I
b = 0.576423 0.050350I
1.52134 0.06996I 0
u = 0.354079 0.568266I
a = 0.128174 0.479796I
b = 0.576423 + 0.050350I
1.52134 + 0.06996I 0
u = 1.211500 + 0.563382I
a = 1.163050 + 0.157930I
b = 0.017581 + 0.721230I
3.43282 + 3.61703I 0
u = 1.211500 0.563382I
a = 1.163050 0.157930I
b = 0.017581 0.721230I
3.43282 3.61703I 0
u = 1.313360 + 0.279450I
a = 0.779251 + 0.504175I
b = 1.072240 + 0.719881I
8.13424 0.02322I 0
u = 1.313360 0.279450I
a = 0.779251 0.504175I
b = 1.072240 0.719881I
8.13424 + 0.02322I 0
u = 1.284380 + 0.397758I
a = 1.211550 0.407112I
b = 1.134080 0.335247I
6.14499 + 8.32466I 0
u = 1.284380 0.397758I
a = 1.211550 + 0.407112I
b = 1.134080 + 0.335247I
6.14499 8.32466I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.463287 + 0.450067I
a = 0.070428 + 1.220100I
b = 0.712359 + 0.938781I
3.42564 4.90396I 0
u = 0.463287 0.450067I
a = 0.070428 1.220100I
b = 0.712359 0.938781I
3.42564 + 4.90396I 0
u = 1.300460 + 0.386368I
a = 1.311520 + 0.431049I
b = 1.363040 + 0.263759I
11.1192 13.6069I 0
u = 1.300460 0.386368I
a = 1.311520 0.431049I
b = 1.363040 0.263759I
11.1192 + 13.6069I 0
u = 1.324720 + 0.349256I
a = 1.224920 0.466147I
b = 1.411840 0.066299I
9.76089 3.17558I 0
u = 1.324720 0.349256I
a = 1.224920 + 0.466147I
b = 1.411840 + 0.066299I
9.76089 + 3.17558I 0
u = 1.213360 + 0.637876I
a = 1.098450 0.583440I
b = 0.454463 + 1.070970I
7.86500 + 7.36048I 0
u = 1.213360 0.637876I
a = 1.098450 + 0.583440I
b = 0.454463 1.070970I
7.86500 7.36048I 0
u = 1.370820 + 0.005414I
a = 0.61114 1.48366I
b = 0.211344 0.720861I
4.27212 + 0.87438I 0
u = 1.370820 0.005414I
a = 0.61114 + 1.48366I
b = 0.211344 + 0.720861I
4.27212 0.87438I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.274392 + 0.565528I
a = 0.05091 + 2.10737I
b = 0.448306 0.402700I
5.51101 2.02856I 0
u = 0.274392 0.565528I
a = 0.05091 2.10737I
b = 0.448306 + 0.402700I
5.51101 + 2.02856I 0
u = 1.244720 + 0.590356I
a = 1.197210 + 0.464363I
b = 0.937140 0.743431I
7.99509 + 6.89648I 0
u = 1.244720 0.590356I
a = 1.197210 0.464363I
b = 0.937140 + 0.743431I
7.99509 6.89648I 0
u = 1.358740 + 0.238635I
a = 1.258710 0.479757I
b = 0.921532 0.421182I
8.14047 + 5.63796I 0
u = 1.358740 0.238635I
a = 1.258710 + 0.479757I
b = 0.921532 + 0.421182I
8.14047 5.63796I 0
u = 0.607643 + 0.108986I
a = 1.68350 + 0.93969I
b = 0.428656 + 0.811200I
1.24790 1.39236I 0
u = 0.607643 0.108986I
a = 1.68350 0.93969I
b = 0.428656 0.811200I
1.24790 + 1.39236I 0
u = 1.272120 + 0.570991I
a = 1.204780 0.161415I
b = 0.078276 0.959698I
2.55998 3.98453I 0
u = 1.272120 0.570991I
a = 1.204780 + 0.161415I
b = 0.078276 + 0.959698I
2.55998 + 3.98453I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.572547 + 0.178090I
a = 1.26152 0.94850I
b = 0.480119 0.508685I
1.23367 + 1.36203I 0
u = 0.572547 0.178090I
a = 1.26152 + 0.94850I
b = 0.480119 + 0.508685I
1.23367 1.36203I 0
u = 1.377340 + 0.278456I
a = 0.650388 + 0.060262I
b = 0.639270 0.275858I
4.13633 2.76909I 0
u = 1.377340 0.278456I
a = 0.650388 0.060262I
b = 0.639270 + 0.275858I
4.13633 + 2.76909I 0
u = 0.587077
a = 0.493869
b = 0.196501
0.831035 0
u = 1.410190 + 0.095380I
a = 0.179036 1.171520I
b = 0.273435 0.458450I
9.18182 + 6.52595I 0
u = 1.410190 0.095380I
a = 0.179036 + 1.171520I
b = 0.273435 + 0.458450I
9.18182 6.52595I 0
u = 1.30161 + 0.61493I
a = 1.42525 0.15911I
b = 0.73789 + 1.40394I
5.68900 10.55460I 0
u = 1.30161 0.61493I
a = 1.42525 + 0.15911I
b = 0.73789 1.40394I
5.68900 + 10.55460I 0
u = 1.34368 + 0.53604I
a = 1.41035 0.13672I
b = 0.60402 1.31637I
2.55699 + 9.11548I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.34368 0.53604I
a = 1.41035 + 0.13672I
b = 0.60402 + 1.31637I
2.55699 9.11548I 0
u = 1.28961 + 0.66534I
a = 0.933132 + 0.398669I
b = 0.449122 0.947341I
4.28798 1.54089I 0
u = 1.28961 0.66534I
a = 0.933132 0.398669I
b = 0.449122 + 0.947341I
4.28798 + 1.54089I 0
u = 0.414811 + 0.354749I
a = 1.20879 + 2.85179I
b = 0.252145 0.243796I
5.50053 2.04282I 0
u = 0.414811 0.354749I
a = 1.20879 2.85179I
b = 0.252145 + 0.243796I
5.50053 + 2.04282I 0
u = 0.299049 + 0.443132I
a = 0.85877 + 1.65199I
b = 0.189892 1.225320I
2.29062 + 2.55843I 0
u = 0.299049 0.443132I
a = 0.85877 1.65199I
b = 0.189892 + 1.225320I
2.29062 2.55843I 0
u = 1.27848 + 0.72240I
a = 0.783287 0.509375I
b = 0.568028 + 0.879832I
8.94284 3.58421I 0
u = 1.27848 0.72240I
a = 0.783287 + 0.509375I
b = 0.568028 0.879832I
8.94284 + 3.58421I 0
u = 1.34125 + 0.60229I
a = 1.44010 0.02253I
b = 0.741178 1.113260I
7.96784 8.36977I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.34125 0.60229I
a = 1.44010 + 0.02253I
b = 0.741178 + 1.113260I
7.96784 + 8.36977I 0
u = 1.42638 + 0.41732I
a = 1.37079 + 0.48051I
b = 0.74096 + 1.32244I
5.91188 9.77674I 0
u = 1.42638 0.41732I
a = 1.37079 0.48051I
b = 0.74096 1.32244I
5.91188 + 9.77674I 0
u = 1.48667 + 0.05972I
a = 0.619667 + 1.001470I
b = 0.331926 + 0.803847I
8.61324 + 5.18149I 0
u = 1.48667 0.05972I
a = 0.619667 1.001470I
b = 0.331926 0.803847I
8.61324 5.18149I 0
u = 1.36432 + 0.60953I
a = 1.44386 + 0.05674I
b = 0.67364 + 1.25857I
3.2246 + 14.7275I 0
u = 1.36432 0.60953I
a = 1.44386 0.05674I
b = 0.67364 1.25857I
3.2246 14.7275I 0
u = 1.37237 + 0.60687I
a = 1.46332 0.06870I
b = 0.71403 1.34667I
7.6660 20.7354I 0
u = 1.37237 0.60687I
a = 1.46332 + 0.06870I
b = 0.71403 + 1.34667I
7.6660 + 20.7354I 0
u = 0.483320 + 0.057422I
a = 0.871668 + 0.971674I
b = 0.391148 + 0.987378I
2.78485 3.64676I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.483320 0.057422I
a = 0.871668 0.971674I
b = 0.391148 0.987378I
2.78485 + 3.64676I 0
u = 0.171056 + 0.452346I
a = 1.62690 0.33575I
b = 0.132232 + 1.094240I
1.29818 1.79089I 0
u = 0.171056 0.452346I
a = 1.62690 + 0.33575I
b = 0.132232 1.094240I
1.29818 + 1.79089I 0
u = 1.46478 + 0.39312I
a = 0.425368 0.432559I
b = 0.509073 0.516107I
9.61557 + 3.39490I 0
u = 1.46478 0.39312I
a = 0.425368 + 0.432559I
b = 0.509073 + 0.516107I
9.61557 3.39490I 0
u = 0.00919 + 1.54645I
a = 0.067869 0.287686I
b = 0.264091 + 1.033410I
2.31727 3.25372I 0
u = 0.00919 1.54645I
a = 0.067869 + 0.287686I
b = 0.264091 1.033410I
2.31727 + 3.25372I 0
u = 1.56071 + 0.28245I
a = 0.385025 + 0.248639I
b = 0.428827 + 0.605510I
5.33412 + 2.24303I 0
u = 1.56071 0.28245I
a = 0.385025 0.248639I
b = 0.428827 0.605510I
5.33412 2.24303I 0
u = 1.41078 + 0.74554I
a = 0.900025 0.072026I
b = 0.465274 + 1.119340I
1.74526 6.99377I 0
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.41078 0.74554I
a = 0.900025 + 0.072026I
b = 0.465274 1.119340I
1.74526 + 6.99377I 0
u = 1.50866 + 0.59449I
a = 1.000700 0.260290I
b = 0.47694 1.34638I
3.01744 + 10.41440I 0
u = 1.50866 0.59449I
a = 1.000700 + 0.260290I
b = 0.47694 + 1.34638I
3.01744 10.41440I 0
u = 1.68528 + 0.34996I
a = 0.240064 0.274510I
b = 0.445167 0.723113I
9.48697 7.78115I 0
u = 1.68528 0.34996I
a = 0.240064 + 0.274510I
b = 0.445167 + 0.723113I
9.48697 + 7.78115I 0
u = 0.208962 + 0.131458I
a = 0.45240 2.30713I
b = 0.844539 0.267955I
4.88227 + 1.22625I 20.3866 4.5077I
u = 0.208962 0.131458I
a = 0.45240 + 2.30713I
b = 0.844539 + 0.267955I
4.88227 1.22625I 20.3866 + 4.5077I
u = 0.59682 + 1.68006I
a = 0.066279 + 0.239835I
b = 0.195769 0.862286I
1.57696 1.34670I 0
u = 0.59682 1.68006I
a = 0.066279 0.239835I
b = 0.195769 + 0.862286I
1.57696 + 1.34670I 0
22
II. I
u
2
= h−3.78 × 10
62
u
50
+ 1.00 × 10
63
u
49
+ · · · + 1.99 × 10
62
b + 1.22 ×
10
63
, 1.54 × 10
61
u
50
+ 1.52 × 10
62
u
49
+ · · · + 2.85 × 10
61
a + 2.22 ×
10
62
, u
51
14u
49
+ · · · + 4u 1i
(i) Arc colorings
a
5
=
0
u
a
9
=
1
0
a
8
=
1
u
2
a
1
=
0.541158u
50
5.35381u
49
+ ··· + 25.8127u 7.79218
1.89435u
50
5.02968u
49
+ ··· + 25.3900u 6.10773
a
4
=
u
u
3
+ u
a
2
=
0.559833u
50
0.619223u
49
+ ··· 3.85770u 0.703667
1.59675u
50
6.44983u
49
+ ··· + 35.0211u 8.46165
a
7
=
0.543746u
50
+ 0.450978u
49
+ ··· + 0.665611u + 1.34139
1.31196u
50
+ 2.62999u
49
+ ··· 11.6830u + 1.91273
a
12
=
1.35319u
50
0.324131u
49
+ ··· + 0.422740u 1.68446
1.89435u
50
5.02968u
49
+ ··· + 25.3900u 6.10773
a
10
=
2.68157u
50
+ 1.76611u
49
+ ··· 13.4431u + 2.18496
4.69431u
50
0.435040u
49
+ ··· 1.01710u 0.581665
a
6
=
4.36872u
50
0.637137u
49
+ ··· 12.2510u + 2.05020
10.4949u
50
4.74977u
49
+ ··· + 39.4113u 5.11508
a
11
=
0.0587031u
50
+ 1.29634u
49
+ ··· 13.3028u + 2.05635
0.432218u
50
5.06057u
49
+ ··· + 29.7516u 5.44889
a
3
=
1.59330u
50
+ 1.98072u
49
+ ··· 30.4391u + 3.90148
8.08962u
50
+ 4.34168u
49
+ ··· 38.1942u + 8.98115
(ii) Obstruction class = 1
(iii) Cusp Shapes = 17.5227u
50
13.1567u
49
+ ··· + 81.8976u 9.45100
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
51
4u
50
+ ··· + 23u + 19
c
2
u
51
+ u
50
+ ··· + 5u + 1
c
3
u
51
+ 7u
49
+ ··· + 8u 1
c
4
u
51
14u
49
+ ··· + 4u + 1
c
5
u
51
+ u
50
+ ··· 71u 121
c
6
u
51
u
50
+ ··· + 5u 1
c
7
u
51
u
50
+ ··· + 10u + 7
c
8
u
51
14u
49
+ ··· + 4u 1
c
9
u
51
+ 15u
50
+ ··· + 80u + 8
c
10
u
51
4u
50
+ ··· 7u + 1
c
11
u
51
u
50
+ ··· 10u 19
c
12
u
51
15u
50
+ ··· + 80u 8
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
51
+ 20y
50
+ ··· 12771y 361
c
2
, c
6
y
51
29y
50
+ ··· + 13y 1
c
3
y
51
+ 14y
50
+ ··· 36y 1
c
4
, c
8
y
51
28y
50
+ ··· + 10y
2
1
c
5
y
51
25y
50
+ ··· + 204933y 14641
c
7
y
51
3y
50
+ ··· + 1906y 49
c
9
, c
12
y
51
+ 43y
50
+ ··· 2592y 64
c
10
y
51
+ 26y
50
+ ··· 13y 1
c
11
y
51
9y
50
+ ··· + 4052y 361
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.875432 + 0.484952I
a = 1.79697 1.05547I
b = 0.190345 + 0.786306I
1.44982 + 4.26800I 4.45695 7.59681I
u = 0.875432 0.484952I
a = 1.79697 + 1.05547I
b = 0.190345 0.786306I
1.44982 4.26800I 4.45695 + 7.59681I
u = 0.666523 + 0.662906I
a = 0.213787 0.531624I
b = 0.540799 1.136060I
3.20491 + 0.16866I 4.96325 2.37046I
u = 0.666523 0.662906I
a = 0.213787 + 0.531624I
b = 0.540799 + 1.136060I
3.20491 0.16866I 4.96325 + 2.37046I
u = 1.065900 + 0.163881I
a = 1.20663 + 1.10416I
b = 0.55261 + 1.87359I
3.86630 6.11456I 13.6912 + 11.6820I
u = 1.065900 0.163881I
a = 1.20663 1.10416I
b = 0.55261 1.87359I
3.86630 + 6.11456I 13.6912 11.6820I
u = 0.810329 + 0.354128I
a = 2.19869 + 1.72918I
b = 0.383326 0.926951I
5.45916 9.84193I 7.99032 + 10.46337I
u = 0.810329 0.354128I
a = 2.19869 1.72918I
b = 0.383326 + 0.926951I
5.45916 + 9.84193I 7.99032 10.46337I
u = 1.106720 + 0.189900I
a = 1.46984 0.34194I
b = 0.473451 1.201110I
1.07125 + 3.40512I 0
u = 1.106720 0.189900I
a = 1.46984 + 0.34194I
b = 0.473451 + 1.201110I
1.07125 3.40512I 0
28
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.864980 + 0.076532I
a = 0.745406 0.354878I
b = 0.086866 1.409100I
0.72570 + 2.91843I 5.89114 + 1.85917I
u = 0.864980 0.076532I
a = 0.745406 + 0.354878I
b = 0.086866 + 1.409100I
0.72570 2.91843I 5.89114 1.85917I
u = 0.868074 + 0.019073I
a = 0.72500 1.85331I
b = 0.16088 2.07164I
2.78748 + 5.33446I 4.48357 8.25790I
u = 0.868074 0.019073I
a = 0.72500 + 1.85331I
b = 0.16088 + 2.07164I
2.78748 5.33446I 4.48357 + 8.25790I
u = 0.811426 + 0.301192I
a = 1.30954 + 0.82093I
b = 0.019881 + 0.613724I
0.201374 0.654119I 4.13039 + 1.55719I
u = 0.811426 0.301192I
a = 1.30954 0.82093I
b = 0.019881 0.613724I
0.201374 + 0.654119I 4.13039 1.55719I
u = 0.991939 + 0.634615I
a = 1.64966 0.09650I
b = 0.759697 + 0.913801I
2.23511 5.25810I 0
u = 0.991939 0.634615I
a = 1.64966 + 0.09650I
b = 0.759697 0.913801I
2.23511 + 5.25810I 0
u = 0.194008 + 0.783432I
a = 0.133591 0.584239I
b = 0.520682 + 1.133750I
1.38418 3.89206I 6.95296 + 4.07459I
u = 0.194008 0.783432I
a = 0.133591 + 0.584239I
b = 0.520682 1.133750I
1.38418 + 3.89206I 6.95296 4.07459I
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.294040 + 0.740076I
a = 0.643424 + 0.252191I
b = 0.234652 1.245670I
1.00967 + 4.34462I 5.40886 6.21134I
u = 0.294040 0.740076I
a = 0.643424 0.252191I
b = 0.234652 + 1.245670I
1.00967 4.34462I 5.40886 + 6.21134I
u = 1.221190 + 0.281010I
a = 1.318760 + 0.465733I
b = 1.263560 + 0.498298I
7.88421 + 1.70581I 0
u = 1.221190 0.281010I
a = 1.318760 0.465733I
b = 1.263560 0.498298I
7.88421 1.70581I 0
u = 0.659663 + 0.282648I
a = 2.23616 + 1.99883I
b = 0.443706 0.320846I
5.67876 + 1.71149I 19.6183 + 6.2324I
u = 0.659663 0.282648I
a = 2.23616 1.99883I
b = 0.443706 + 0.320846I
5.67876 1.71149I 19.6183 6.2324I
u = 1.150740 + 0.642204I
a = 1.170280 0.163805I
b = 0.075425 + 0.833992I
1.34871 + 4.08692I 0
u = 1.150740 0.642204I
a = 1.170280 + 0.163805I
b = 0.075425 0.833992I
1.34871 4.08692I 0
u = 1.306640 + 0.254636I
a = 1.358400 + 0.005891I
b = 1.073030 + 0.260436I
8.22150 3.99979I 0
u = 1.306640 0.254636I
a = 1.358400 0.005891I
b = 1.073030 0.260436I
8.22150 + 3.99979I 0
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.607695
a = 3.11193
b = 1.29630
4.81707 5.54850
u = 1.390090 + 0.111749I
a = 0.753525 1.047260I
b = 0.033369 0.680984I
4.11233 1.41735I 0
u = 1.390090 0.111749I
a = 0.753525 + 1.047260I
b = 0.033369 + 0.680984I
4.11233 + 1.41735I 0
u = 0.081273 + 0.591689I
a = 0.010561 + 0.563872I
b = 0.778588 0.257567I
3.94099 + 0.91402I 9.41395 0.58355I
u = 0.081273 0.591689I
a = 0.010561 0.563872I
b = 0.778588 + 0.257567I
3.94099 0.91402I 9.41395 + 0.58355I
u = 1.384370 + 0.229245I
a = 0.739817 + 0.373753I
b = 0.125940 + 0.263610I
8.86111 4.14289I 0
u = 1.384370 0.229245I
a = 0.739817 0.373753I
b = 0.125940 0.263610I
8.86111 + 4.14289I 0
u = 1.33576 + 0.49758I
a = 1.42604 0.18799I
b = 0.74512 1.26777I
5.26432 + 8.77471I 0
u = 1.33576 0.49758I
a = 1.42604 + 0.18799I
b = 0.74512 + 1.26777I
5.26432 8.77471I 0
u = 1.38376 + 0.55097I
a = 1.304970 + 0.161940I
b = 0.54257 + 1.34604I
3.66642 9.56959I 0
31
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.38376 0.55097I
a = 1.304970 0.161940I
b = 0.54257 1.34604I
3.66642 + 9.56959I 0
u = 0.25121 + 1.49864I
a = 0.115865 + 0.352670I
b = 0.133007 1.032110I
2.32247 + 2.62705I 0
u = 0.25121 1.49864I
a = 0.115865 0.352670I
b = 0.133007 + 1.032110I
2.32247 2.62705I 0
u = 1.52913 + 0.09424I
a = 0.273047 + 0.875379I
b = 0.151894 + 0.724742I
8.48276 + 7.25343I 0
u = 1.52913 0.09424I
a = 0.273047 0.875379I
b = 0.151894 0.724742I
8.48276 7.25343I 0
u = 0.257959 + 0.378346I
a = 1.64378 + 1.68153I
b = 0.185313 1.188480I
2.34683 + 0.66847I 0.611367 + 1.094057I
u = 0.257959 0.378346I
a = 1.64378 1.68153I
b = 0.185313 + 1.188480I
2.34683 0.66847I 0.611367 1.094057I
u = 0.124254 + 0.357413I
a = 1.91737 + 0.62337I
b = 0.240660 1.341300I
1.05125 + 4.40914I 3.04156 5.02545I
u = 0.124254 0.357413I
a = 1.91737 0.62337I
b = 0.240660 + 1.341300I
1.05125 4.40914I 3.04156 + 5.02545I
u = 0.56594 + 1.53130I
a = 0.245386 0.126442I
b = 0.121356 + 0.933322I
1.92794 + 1.59344I 0
32
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.56594 1.53130I
a = 0.245386 + 0.126442I
b = 0.121356 0.933322I
1.92794 1.59344I 0
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
51
4u
50
+ ··· + 23u + 19)
· (u
179
13u
178
+ ··· + 89605118959u 3985097653)
c
2
(u
51
+ u
50
+ ··· + 5u + 1)(u
179
2u
178
+ ··· 29u + 1)
c
3
(u
51
+ 7u
49
+ ··· + 8u 1)
· (u
179
3u
178
+ ··· 36410582u 8875751)
c
4
(u
51
14u
49
+ ··· + 4u + 1)(u
179
u
178
+ ··· 56442u 17893)
c
5
(u
51
+ u
50
+ ··· 71u 121)
· (u
179
+ 2u
178
+ ··· 2211089289451u + 384248970739)
c
6
(u
51
u
50
+ ··· + 5u 1)(u
179
2u
178
+ ··· 29u + 1)
c
7
(u
51
u
50
+ ··· + 10u + 7)(u
179
15u
177
+ ··· 5920100u 554293)
c
8
(u
51
14u
49
+ ··· + 4u 1)(u
179
u
178
+ ··· 56442u 17893)
c
9
(u
51
+ 15u
50
+ ··· + 80u + 8)(u
179
8u
178
+ ··· + 129296u 16120)
c
10
(u
51
4u
50
+ ··· 7u + 1)(u
179
+ 9u
178
+ ··· + 7.24548 × 10
7
u 599297)
c
11
(u
51
u
50
+ ··· 10u 19)
· (u
179
32u
177
+ ··· + 11845686300u + 9627412451)
c
12
(u
51
15u
50
+ ··· + 80u 8)(u
179
8u
178
+ ··· + 129296u 16120)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
51
+ 20y
50
+ ··· 12771y 361)
· (y
179
+ 85y
178
+ ··· + 1.82 × 10
21
y 1.59 × 10
19
)
c
2
, c
6
(y
51
29y
50
+ ··· + 13y 1)(y
179
120y
178
+ ··· 119y 1)
c
3
(y
51
+ 14y
50
+ ··· 36y 1)
· (y
179
+ 55y
178
+ ··· 2321290894230492y 78778955814001)
c
4
, c
8
(y
51
28y
50
+ ··· + 10y
2
1)
· (y
179
111y
178
+ ··· + 20997393572y 320159449)
c
5
(y
51
25y
50
+ ··· + 204933y 14641)
· (y
179
88y
178
+ ··· + 7.44 × 10
24
y 1.48 × 10
23
)
c
7
(y
51
3y
50
+ ··· + 1906y 49)
· (y
179
30y
178
+ ··· + 17033627997446y 307240729849)
c
9
, c
12
(y
51
+ 43y
50
+ ··· 2592y 64)
· (y
179
+ 108y
178
+ ··· + 1685942496y 259854400)
c
10
(y
51
+ 26y
50
+ ··· 13y 1)
· (y
179
+ 71y
178
+ ··· + 1040989262644787y 359156894209)
c
11
(y
51
9y
50
+ ··· + 4052y 361)
· (y
179
64y
178
+ ··· + 2.73 × 10
21
y 9.27 × 10
19
)
35