12a
0592
(K12a
0592
)
A knot diagram
1
Linearized knot diagam
3 7 9 11 8 12 2 5 1 4 6 10
Solving Sequence
5,11 4,9
3 8 6 12 7 2 10 1
c
4
c
3
c
8
c
5
c
11
c
6
c
2
c
10
c
12
c
1
, c
7
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.27555 × 10
759
u
147
− 5.43746 × 10
758
u
146
+ ··· + 6.00623 × 10
760
b − 3.19036 × 10
762
,
8.52310 × 10
761
u
147
+ 2.29088 × 10
761
u
146
+ ··· + 5.65187 × 10
763
a + 8.68018 × 10
766
,
u
148
− u
147
+ ··· − 53808u − 30112i
I
u
2
= h−9.48192 × 10
21
u
39
− 6.04550 × 10
22
u
38
+ ··· + 2.10677 × 10
21
b + 4.56968 × 10
23
,
− 1.41896 × 10
23
u
39
− 1.79678 × 10
23
u
38
+ ··· + 4.21354 × 10
21
a + 1.49494 × 10
24
,
u
40
− 20u
38
+ ··· + 14u + 4i
* 2 irreducible components of dim
C
= 0, with total 188 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
= h1.28 × 10
759
u
147
− 5.44 × 10
758
u
146
+ · · · + 6.01 × 10
760
b − 3.19 ×
10
762
, 8.52 × 10
761
u
147
+ 2.29 × 10
761
u
146
+ · · · + 5.65 × 10
763
a + 8.68 ×
10
766
, u
148
− u
147
+ · · · − 53808u − 30112i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
9
=
−0.0150802u
147
− 0.00405332u
146
+ ··· − 3656.00u − 1535.81
−0.0212371u
147
+ 0.00905302u
146
+ ··· − 333.345u + 53.1175
a
3
=
−0.0453474u
147
+ 0.00568426u
146
+ ··· − 4034.83u − 1287.00
0.00445966u
147
− 0.0147265u
146
+ ··· + 300.481u − 171.603
a
8
=
−0.0363173u
147
+ 0.00499971u
146
+ ··· − 3989.34u − 1482.69
−0.0212371u
147
+ 0.00905302u
146
+ ··· − 333.345u + 53.1175
a
6
=
−0.00892067u
147
+ 0.0248161u
146
+ ··· + 378.690u + 566.031
0.00778258u
147
− 0.00321811u
146
+ ··· − 407.207u − 169.594
a
12
=
0.0106950u
147
+ 0.00827467u
146
+ ··· + 1227.05u + 759.853
−0.00632593u
147
− 0.00124789u
146
+ ··· − 1576.14u − 566.286
a
7
=
−0.0251779u
147
− 0.000230073u
146
+ ··· − 2451.98u − 1066.55
0.0217830u
147
− 0.000817469u
146
+ ··· + 2049.68u + 830.946
a
2
=
−0.0131109u
147
+ 0.0460703u
146
+ ··· + 1069.10u + 1438.34
−0.00169074u
147
− 0.00435045u
146
+ ··· − 1421.28u − 586.173
a
10
=
u
−u
3
+ u
a
1
=
0.0127957u
147
+ 0.0131225u
146
+ ··· + 1958.07u + 1128.43
−0.00684151u
147
+ 0.000982730u
146
+ ··· − 1282.27u − 406.943
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0629200u
147
− 0.0215940u
146
+ ··· + 2591.46u + 883.134
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
148
+ 61u
147
+ ··· − 482592u + 289
c
2
, c
7
u
148
+ u
147
+ ··· + 756u − 17
c
3
u
148
+ u
147
+ ··· + 218802202u − 23765389
c
4
, c
10
u
148
− u
147
+ ··· − 53808u − 30112
c
5
, c
8
u
148
− 3u
147
+ ··· − 2u + 1
c
6
, c
11
u
148
+ u
147
+ ··· + 72727u − 63873
c
9
, c
12
u
148
− 3u
147
+ ··· + 27474u − 19583
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
148
+ 73y
147
+ ··· − 238131873368y + 83521
c
2
, c
7
y
148
+ 61y
147
+ ··· − 482592y + 289
c
3
y
148
+ 33y
147
+ ··· + 2075029942090772y + 564793714321321
c
4
, c
10
y
148
− 103y
147
+ ··· − 18411894016y + 906732544
c
5
, c
8
y
148
+ 77y
147
+ ··· + 6y + 1
c
6
, c
11
y
148
− 93y
147
+ ··· − 115187567377y + 4079760129
c
9
, c
12
y
148
+ 83y
147
+ ··· + 12878707260y + 383493889
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.214326 + 0.984152I
a = −0.413942 − 0.125164I
b = 0.125114 − 1.307210I
8.92003 + 0.75788I 0
u = 0.214326 − 0.984152I
a = −0.413942 + 0.125164I
b = 0.125114 + 1.307210I
8.92003 − 0.75788I 0
u = 0.875978 + 0.463305I
a = −1.37403 − 1.00103I
b = 0.418855 + 1.265100I
4.92923 + 3.61563I 0
u = 0.875978 − 0.463305I
a = −1.37403 + 1.00103I
b = 0.418855 − 1.265100I
4.92923 − 3.61563I 0
u = −0.728586 + 0.700156I
a = 1.53251 + 0.28888I
b = −0.726083 + 1.133350I
4.26806 + 2.29976I 0
u = −0.728586 − 0.700156I
a = 1.53251 − 0.28888I
b = −0.726083 − 1.133350I
4.26806 − 2.29976I 0
u = −0.951042 + 0.391347I
a = 1.42389 − 1.07644I
b = −0.599424 + 1.189260I
4.98091 + 2.21212I 0
u = −0.951042 − 0.391347I
a = 1.42389 + 1.07644I
b = −0.599424 − 1.189260I
4.98091 − 2.21212I 0
u = 0.616095 + 0.737967I
a = −0.599399 + 0.213597I
b = 0.605983 − 0.665926I
3.24880 − 1.43352I 0
u = 0.616095 − 0.737967I
a = −0.599399 − 0.213597I
b = 0.605983 + 0.665926I
3.24880 + 1.43352I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.249400 + 0.922126I
a = 0.234199 − 0.007156I
b = 0.486978 + 1.199110I
0.18577 − 7.33775I 0
u = −0.249400 − 0.922126I
a = 0.234199 + 0.007156I
b = 0.486978 − 1.199110I
0.18577 + 7.33775I 0
u = −0.896819 + 0.328504I
a = −1.262960 + 0.025626I
b = 0.060611 − 0.674689I
−0.692038 + 0.363451I 0
u = −0.896819 − 0.328504I
a = −1.262960 − 0.025626I
b = 0.060611 + 0.674689I
−0.692038 − 0.363451I 0
u = 0.666548 + 0.677478I
a = −0.666523 + 0.085489I
b = 0.433476 − 0.618221I
3.25690 − 1.41552I 0
u = 0.666548 − 0.677478I
a = −0.666523 − 0.085489I
b = 0.433476 + 0.618221I
3.25690 + 1.41552I 0
u = 1.037240 + 0.227779I
a = 1.50158 − 0.50954I
b = −1.46327 + 0.47624I
−4.23688 + 0.02542I 0
u = 1.037240 − 0.227779I
a = 1.50158 + 0.50954I
b = −1.46327 − 0.47624I
−4.23688 − 0.02542I 0
u = −0.662915 + 0.641650I
a = −0.072510 − 0.271082I
b = −0.299940 − 1.036200I
1.60102 − 1.05149I 0
u = −0.662915 − 0.641650I
a = −0.072510 + 0.271082I
b = −0.299940 + 1.036200I
1.60102 + 1.05149I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.888829 + 0.173429I
a = −1.99544 + 0.85848I
b = 0.493308 + 1.059540I
−3.06656 − 6.30605I 0
u = 0.888829 − 0.173429I
a = −1.99544 − 0.85848I
b = 0.493308 − 1.059540I
−3.06656 + 6.30605I 0
u = 0.511896 + 0.969843I
a = −0.157976 + 0.616360I
b = 0.392535 + 0.963915I
−2.61321 + 0.25611I 0
u = 0.511896 − 0.969843I
a = −0.157976 − 0.616360I
b = 0.392535 − 0.963915I
−2.61321 − 0.25611I 0
u = 1.091240 + 0.136632I
a = 1.61954 + 0.32904I
b = −0.717318 − 0.658374I
−3.94319 − 2.68174I 0
u = 1.091240 − 0.136632I
a = 1.61954 − 0.32904I
b = −0.717318 + 0.658374I
−3.94319 + 2.68174I 0
u = 0.895060 + 0.040483I
a = −1.21100 + 0.90504I
b = 0.368272 + 1.140510I
−3.32363 + 2.05649I 0
u = 0.895060 − 0.040483I
a = −1.21100 − 0.90504I
b = 0.368272 − 1.140510I
−3.32363 − 2.05649I 0
u = −1.056220 + 0.343146I
a = −1.37535 − 0.67389I
b = 1.39335 + 0.63287I
−5.29713 + 5.12679I 0
u = −1.056220 − 0.343146I
a = −1.37535 + 0.67389I
b = 1.39335 − 0.63287I
−5.29713 − 5.12679I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.825724 + 0.747298I
a = −1.62385 + 0.23078I
b = 0.824376 + 1.057590I
4.04498 − 7.25792I 0
u = 0.825724 − 0.747298I
a = −1.62385 − 0.23078I
b = 0.824376 − 1.057590I
4.04498 + 7.25792I 0
u = −0.937222 + 0.604861I
a = 1.51139 + 0.80258I
b = −0.602775 + 0.275875I
0.91085 + 8.01898I 0
u = −0.937222 − 0.604861I
a = 1.51139 − 0.80258I
b = −0.602775 − 0.275875I
0.91085 − 8.01898I 0
u = 0.843385 + 0.201634I
a = −0.120544 + 0.790548I
b = 0.09359 − 1.82610I
5.52470 − 6.41923I 0
u = 0.843385 − 0.201634I
a = −0.120544 − 0.790548I
b = 0.09359 + 1.82610I
5.52470 + 6.41923I 0
u = −0.123533 + 0.856619I
a = 0.612379 − 0.162562I
b = −0.231194 − 1.354280I
7.76303 − 6.83821I 0
u = −0.123533 − 0.856619I
a = 0.612379 + 0.162562I
b = −0.231194 + 1.354280I
7.76303 + 6.83821I 0
u = 0.667705 + 0.546943I
a = 0.885097 − 0.534374I
b = 0.343696 − 0.601604I
−3.48032 + 3.66211I 0
u = 0.667705 − 0.546943I
a = 0.885097 + 0.534374I
b = 0.343696 + 0.601604I
−3.48032 − 3.66211I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.137020 + 0.145280I
a = −1.199480 − 0.623228I
b = 0.289719 − 1.106420I
−3.22971 + 2.24180I 0
u = −1.137020 − 0.145280I
a = −1.199480 + 0.623228I
b = 0.289719 + 1.106420I
−3.22971 − 2.24180I 0
u = −0.826873 + 0.171169I
a = 0.540158 + 0.720506I
b = −0.30509 − 1.76458I
5.83530 + 0.18265I 0
u = −0.826873 − 0.171169I
a = 0.540158 − 0.720506I
b = −0.30509 + 1.76458I
5.83530 − 0.18265I 0
u = 0.714796 + 0.443811I
a = −1.72520 + 0.66537I
b = 0.174414 − 0.264431I
2.95438 − 3.17982I 0
u = 0.714796 − 0.443811I
a = −1.72520 − 0.66537I
b = 0.174414 + 0.264431I
2.95438 + 3.17982I 0
u = 0.814438 + 0.189957I
a = 2.49440 − 0.42645I
b = −1.234240 + 0.009765I
−3.36046 − 1.80092I 0
u = 0.814438 − 0.189957I
a = 2.49440 + 0.42645I
b = −1.234240 − 0.009765I
−3.36046 + 1.80092I 0
u = 0.804465 + 0.844735I
a = −0.170498 + 0.539610I
b = 0.581615 − 1.172870I
4.16225 + 1.37790I 0
u = 0.804465 − 0.844735I
a = −0.170498 − 0.539610I
b = 0.581615 + 1.172870I
4.16225 − 1.37790I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.077740 + 0.455945I
a = 1.87684 − 0.06520I
b = −0.525181 + 1.024050I
0.20875 + 5.40054I 0
u = −1.077740 − 0.455945I
a = 1.87684 + 0.06520I
b = −0.525181 − 1.024050I
0.20875 − 5.40054I 0
u = −0.863979 + 0.796330I
a = −0.046595 + 0.541979I
b = −0.455481 − 1.231400I
3.95808 + 3.32044I 0
u = −0.863979 − 0.796330I
a = −0.046595 − 0.541979I
b = −0.455481 + 1.231400I
3.95808 − 3.32044I 0
u = −0.009550 + 1.181060I
a = −0.006924 + 0.467320I
b = 0.404163 + 0.873428I
−2.67414 + 0.10161I 0
u = −0.009550 − 1.181060I
a = −0.006924 − 0.467320I
b = 0.404163 − 0.873428I
−2.67414 − 0.10161I 0
u = −0.426735 + 0.696337I
a = 0.648366 + 0.204756I
b = −0.806994 − 0.353529I
2.33256 − 3.28873I 0
u = −0.426735 − 0.696337I
a = 0.648366 − 0.204756I
b = −0.806994 + 0.353529I
2.33256 + 3.28873I 0
u = 0.971663 + 0.692788I
a = −1.62485 + 0.41674I
b = 0.745783 + 0.686738I
2.32462 − 4.03949I 0
u = 0.971663 − 0.692788I
a = −1.62485 − 0.41674I
b = 0.745783 − 0.686738I
2.32462 + 4.03949I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.712291 + 0.369817I
a = 2.33356 + 1.23617I
b = −0.099743 − 0.239624I
1.10383 + 8.13108I 0
u = −0.712291 − 0.369817I
a = 2.33356 − 1.23617I
b = −0.099743 + 0.239624I
1.10383 − 8.13108I 0
u = −0.794476 + 0.106943I
a = 1.72375 + 0.60210I
b = −0.505956 + 1.138630I
0.32935 + 2.06920I 0
u = −0.794476 − 0.106943I
a = 1.72375 − 0.60210I
b = −0.505956 − 1.138630I
0.32935 − 2.06920I 0
u = 1.163500 + 0.302367I
a = 1.227760 + 0.031436I
b = −0.473347 − 1.278390I
−1.19171 − 5.50814I 0
u = 1.163500 − 0.302367I
a = 1.227760 − 0.031436I
b = −0.473347 + 1.278390I
−1.19171 + 5.50814I 0
u = 0.267676 + 0.749235I
a = −0.637894 + 0.129383I
b = −0.325619 + 1.165970I
1.78491 + 2.49380I 0
u = 0.267676 − 0.749235I
a = −0.637894 − 0.129383I
b = −0.325619 − 1.165970I
1.78491 − 2.49380I 0
u = 1.223360 + 0.088706I
a = −0.564615 − 1.141070I
b = 0.507809 + 0.485334I
−4.81534 + 2.14628I 0
u = 1.223360 − 0.088706I
a = −0.564615 + 1.141070I
b = 0.507809 − 0.485334I
−4.81534 − 2.14628I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.22763
a = 1.26399
b = −1.14801
−5.55891 0
u = −1.159340 + 0.410415I
a = −1.256630 + 0.541922I
b = 0.329053 − 1.154260I
1.42778 + 1.54612I 0
u = −1.159340 − 0.410415I
a = −1.256630 − 0.541922I
b = 0.329053 + 1.154260I
1.42778 − 1.54612I 0
u = −0.051071 + 0.763432I
a = 0.107953 + 0.396029I
b = −0.081193 + 1.297080I
4.70452 + 2.64087I 0
u = −0.051071 − 0.763432I
a = 0.107953 − 0.396029I
b = −0.081193 − 1.297080I
4.70452 − 2.64087I 0
u = −1.253150 + 0.243833I
a = 0.820966 − 0.523948I
b = −0.743124 + 0.209233I
−2.39226 + 2.63611I 0
u = −1.253150 − 0.243833I
a = 0.820966 + 0.523948I
b = −0.743124 − 0.209233I
−2.39226 − 2.63611I 0
u = −0.648801 + 0.319269I
a = 0.76138 + 1.36805I
b = −0.320323 − 0.183103I
−1.48409 + 1.41052I 0
u = −0.648801 − 0.319269I
a = 0.76138 − 1.36805I
b = −0.320323 + 0.183103I
−1.48409 − 1.41052I 0
u = −1.273150 + 0.153104I
a = −1.90554 − 0.22647I
b = 0.529291 − 1.023470I
−2.37540 + 8.20990I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.273150 − 0.153104I
a = −1.90554 + 0.22647I
b = 0.529291 + 1.023470I
−2.37540 − 8.20990I 0
u = −0.704151 + 0.077832I
a = 1.77620 + 1.60667I
b = −0.245995 − 0.517858I
−1.43176 + 1.40849I 0
u = −0.704151 − 0.077832I
a = 1.77620 − 1.60667I
b = −0.245995 + 0.517858I
−1.43176 − 1.40849I 0
u = 1.237810 + 0.376131I
a = 1.39276 + 0.59417I
b = −0.461339 − 1.212050I
0.79281 − 6.70296I 0
u = 1.237810 − 0.376131I
a = 1.39276 − 0.59417I
b = −0.461339 + 1.212050I
0.79281 + 6.70296I 0
u = −1.241830 + 0.421803I
a = 1.292470 + 0.222253I
b = −1.249670 − 0.232251I
−0.90694 + 6.57296I 0
u = −1.241830 − 0.421803I
a = 1.292470 − 0.222253I
b = −1.249670 + 0.232251I
−0.90694 − 6.57296I 0
u = 1.298230 + 0.215686I
a = 1.77177 + 0.08749I
b = −0.583511 − 1.117650I
−1.41694 − 4.12322I 0
u = 1.298230 − 0.215686I
a = 1.77177 − 0.08749I
b = −0.583511 + 1.117650I
−1.41694 + 4.12322I 0
u = 1.209010 + 0.535306I
a = 1.41109 + 0.17868I
b = −0.72545 − 1.32288I
−1.13918 − 7.42902I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.209010 − 0.535306I
a = 1.41109 − 0.17868I
b = −0.72545 + 1.32288I
−1.13918 + 7.42902I 0
u = 1.255250 + 0.455390I
a = −1.304540 + 0.394555I
b = 1.286180 − 0.361410I
−2.43010 − 12.50910I 0
u = 1.255250 − 0.455390I
a = −1.304540 − 0.394555I
b = 1.286180 + 0.361410I
−2.43010 + 12.50910I 0
u = −0.616306 + 0.235557I
a = −2.85037 − 0.71023I
b = 1.201670 − 0.077763I
−3.66033 − 2.34896I −8.00000 + 0.I
u = −0.616306 − 0.235557I
a = −2.85037 + 0.71023I
b = 1.201670 + 0.077763I
−3.66033 + 2.34896I −8.00000 + 0.I
u = −1.320820 + 0.305987I
a = −0.970657 − 0.471871I
b = 0.994008 + 0.576575I
−8.66253 − 0.60401I 0
u = −1.320820 − 0.305987I
a = −0.970657 + 0.471871I
b = 0.994008 − 0.576575I
−8.66253 + 0.60401I 0
u = −1.229530 + 0.581363I
a = −1.51529 + 0.16255I
b = 0.80486 − 1.30600I
−2.82328 + 12.84140I 0
u = −1.229530 − 0.581363I
a = −1.51529 − 0.16255I
b = 0.80486 + 1.30600I
−2.82328 − 12.84140I 0
u = −0.081073 + 0.634388I
a = −0.57920 + 1.93892I
b = 0.667637 − 0.038832I
1.39414 + 8.18526I −8.00000 − 6.02308I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.081073 − 0.634388I
a = −0.57920 − 1.93892I
b = 0.667637 + 0.038832I
1.39414 − 8.18526I −8.00000 + 6.02308I
u = 0.133983 + 1.370320I
a = −0.176285 − 0.077669I
b = 0.479349 − 1.177650I
4.60946 + 12.50000I 0
u = 0.133983 − 1.370320I
a = −0.176285 + 0.077669I
b = 0.479349 + 1.177650I
4.60946 − 12.50000I 0
u = 1.022250 + 0.927072I
a = −0.879569 + 0.239215I
b = 0.155848 + 0.747830I
3.30780 − 3.79544I 0
u = 1.022250 − 0.927072I
a = −0.879569 − 0.239215I
b = 0.155848 − 0.747830I
3.30780 + 3.79544I 0
u = 1.331330 + 0.381959I
a = −0.779290 + 0.250615I
b = 0.877413 − 0.342917I
−7.75176 − 5.15920I 0
u = 1.331330 − 0.381959I
a = −0.779290 − 0.250615I
b = 0.877413 + 0.342917I
−7.75176 + 5.15920I 0
u = −1.300680 + 0.483221I
a = 1.63652 − 0.62460I
b = −0.458365 + 1.149120I
4.04375 + 11.79160I 0
u = −1.300680 − 0.483221I
a = 1.63652 + 0.62460I
b = −0.458365 − 1.149120I
4.04375 − 11.79160I 0
u = 1.286990 + 0.557136I
a = −1.46980 − 0.51039I
b = 0.396994 + 1.115720I
5.50576 − 6.31586I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.286990 − 0.557136I
a = −1.46980 + 0.51039I
b = 0.396994 − 1.115720I
5.50576 + 6.31586I 0
u = 0.584949 + 0.076704I
a = 1.99785 + 0.94568I
b = 0.220757 − 0.047935I
−3.40808 − 3.41795I −12.5624 + 7.5263I
u = 0.584949 − 0.076704I
a = 1.99785 − 0.94568I
b = 0.220757 + 0.047935I
−3.40808 + 3.41795I −12.5624 − 7.5263I
u = −1.31304 + 0.52825I
a = −1.336860 − 0.058270I
b = 0.684439 − 1.154200I
−6.71138 + 5.53970I 0
u = −1.31304 − 0.52825I
a = −1.336860 + 0.058270I
b = 0.684439 + 1.154200I
−6.71138 − 5.53970I 0
u = 1.41796 + 0.06674I
a = 1.086540 − 0.564100I
b = −0.761987 + 0.296099I
−3.75489 + 0.94268I 0
u = 1.41796 − 0.06674I
a = 1.086540 + 0.564100I
b = −0.761987 − 0.296099I
−3.75489 − 0.94268I 0
u = 1.42839 + 0.06148I
a = 0.253580 + 1.181790I
b = 0.098213 − 0.729668I
−5.41020 + 4.16901I 0
u = 1.42839 − 0.06148I
a = 0.253580 − 1.181790I
b = 0.098213 + 0.729668I
−5.41020 − 4.16901I 0
u = 0.198864 + 0.484216I
a = −1.30565 + 0.77322I
b = −0.246729 + 1.025190I
1.60128 + 2.42323I −1.73398 − 3.95497I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.198864 − 0.484216I
a = −1.30565 − 0.77322I
b = −0.246729 − 1.025190I
1.60128 − 2.42323I −1.73398 + 3.95497I
u = −1.47990 + 0.07008I
a = −0.877034 − 0.889238I
b = 0.560529 + 0.541559I
−3.83288 + 3.79285I 0
u = −1.47990 − 0.07008I
a = −0.877034 + 0.889238I
b = 0.560529 − 0.541559I
−3.83288 − 3.79285I 0
u = −0.13599 + 1.47908I
a = 0.0739833 − 0.0767256I
b = −0.375845 − 1.149340I
6.50441 − 5.94282I 0
u = −0.13599 − 1.47908I
a = 0.0739833 + 0.0767256I
b = −0.375845 + 1.149340I
6.50441 + 5.94282I 0
u = −1.49434 + 0.02009I
a = −0.456192 + 1.177390I
b = 0.133695 − 0.772919I
−4.73832 − 0.38790I 0
u = −1.49434 − 0.02009I
a = −0.456192 − 1.177390I
b = 0.133695 + 0.772919I
−4.73832 + 0.38790I 0
u = 1.30351 + 0.73626I
a = −1.109790 + 0.175389I
b = 0.590111 + 1.188640I
−5.12687 − 10.59660I 0
u = 1.30351 − 0.73626I
a = −1.109790 − 0.175389I
b = 0.590111 − 1.188640I
−5.12687 + 10.59660I 0
u = −0.472198
a = −0.980608
b = −0.240471
−0.873944 −11.3200
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.39473 + 0.66927I
a = −1.41128 − 0.14010I
b = 0.72278 + 1.30496I
0.6185 − 19.5039I 0
u = 1.39473 − 0.66927I
a = −1.41128 + 0.14010I
b = 0.72278 − 1.30496I
0.6185 + 19.5039I 0
u = −1.39530 + 0.69232I
a = 1.284960 − 0.153364I
b = −0.66789 + 1.31715I
2.52905 + 13.22840I 0
u = −1.39530 − 0.69232I
a = 1.284960 + 0.153364I
b = −0.66789 − 1.31715I
2.52905 − 13.22840I 0
u = −0.171420 + 0.331367I
a = −0.138247 + 0.204111I
b = −0.377240 + 0.333903I
−0.529190 + 1.139020I −6.86015 − 5.72368I
u = −0.171420 − 0.331367I
a = −0.138247 − 0.204111I
b = −0.377240 − 0.333903I
−0.529190 − 1.139020I −6.86015 + 5.72368I
u = −1.43002 + 0.77766I
a = −0.514822 − 0.350996I
b = 0.317774 − 1.003590I
−0.96891 − 2.34725I 0
u = −1.43002 − 0.77766I
a = −0.514822 + 0.350996I
b = 0.317774 + 1.003590I
−0.96891 + 2.34725I 0
u = 0.044829 + 0.327980I
a = 0.88881 + 3.99367I
b = −0.555628 − 0.426563I
2.90231 − 2.90754I −6.08650 + 2.16213I
u = 0.044829 − 0.327980I
a = 0.88881 − 3.99367I
b = −0.555628 + 0.426563I
2.90231 + 2.90754I −6.08650 − 2.16213I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.65126 + 0.43631I
a = 0.656643 + 0.186450I
b = −0.372828 − 1.246260I
0.68459 − 4.60250I 0
u = 1.65126 − 0.43631I
a = 0.656643 − 0.186450I
b = −0.372828 + 1.246260I
0.68459 + 4.60250I 0
u = −1.42145 + 1.04426I
a = 0.574742 + 0.047529I
b = −0.376318 + 1.202930I
1.63192 + 6.30040I 0
u = −1.42145 − 1.04426I
a = 0.574742 − 0.047529I
b = −0.376318 − 1.202930I
1.63192 − 6.30040I 0
u = 1.57502 + 1.02516I
a = 0.180574 + 0.016421I
b = 0.218696 − 0.752405I
−3.57750 + 3.11768I 0
u = 1.57502 − 1.02516I
a = 0.180574 − 0.016421I
b = 0.218696 + 0.752405I
−3.57750 − 3.11768I 0
u = −2.17024 + 0.23937I
a = −0.120380 − 0.196384I
b = 0.156384 + 0.753648I
−2.14768 − 4.66820I 0
u = −2.17024 − 0.23937I
a = −0.120380 + 0.196384I
b = 0.156384 − 0.753648I
−2.14768 + 4.66820I 0
19
II. I
u
2
= h−9.48 × 10
21
u
39
− 6.05 × 10
22
u
38
+ · · · + 2.11 × 10
21
b + 4.57 ×
10
23
, −1.42 × 10
23
u
39
− 1.80 × 10
23
u
38
+ · · · + 4.21 × 10
21
a + 1.49 ×
10
24
, u
40
− 20u
38
+ · · · + 14u + 4i
(i) Arc colorings
a
5
=
1
0
a
11
=
0
u
a
4
=
1
−u
2
a
9
=
33.6761u
39
+ 42.6430u
38
+ ··· − 1494.88u − 354.795
4.50069u
39
+ 28.6955u
38
+ ··· − 791.986u − 216.904
a
3
=
−225.136u
39
− 83.5293u
38
+ ··· + 4039.74u + 645.443
49.8643u
39
+ 4.71989u
38
+ ··· − 545.450u − 35.8823
a
8
=
38.1768u
39
+ 71.3386u
38
+ ··· − 2286.87u − 571.699
4.50069u
39
+ 28.6955u
38
+ ··· − 791.986u − 216.904
a
6
=
−37.0474u
39
− 5.10810u
38
+ ··· + 421.499u + 40.5509
−76.4610u
39
− 2.90163u
38
+ ··· + 672.214u + 27.0564
a
12
=
−23.7451u
39
− 41.2272u
38
+ ··· + 1203.07u + 300.106
−4.10810u
39
− 17.0156u
38
+ ··· + 557.214u + 148.189
a
7
=
9.32596u
39
+ 11.0346u
38
+ ··· − 513.093u − 119.223
−97.5240u
39
− 1.28982u
38
+ ··· + 797.172u + 12.0812
a
2
=
−259.538u
39
− 144.452u
38
+ ··· + 5983.77u + 1133.31
40.4005u
39
− 8.81645u
38
+ ··· − 256.130u + 22.2754
a
10
=
u
−u
3
+ u
a
1
=
−26.4926u
39
− 40.4211u
38
+ ··· + 1191.96u + 290.719
−5.72183u
39
− 16.3457u
38
+ ··· + 546.399u + 142.028
(ii) Obstruction class = 1
(iii) Cusp Shapes =
1740222269055203962231138
2106771835075375814357
u
39
+
596879785537915434343082
2106771835075375814357
u
38
+ ··· −
28411807985490943844956694
2106771835075375814357
u −
4240704910109983609293577
2106771835075375814357
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
40
− 20u
39
+ ··· − 22u + 1
c
2
u
40
+ 10u
38
+ ··· + 2u + 1
c
3
u
40
+ 2u
38
+ ··· + 4u + 11
c
4
u
40
− 20u
38
+ ··· + 14u + 4
c
5
u
40
− 4u
39
+ ··· + 12u
2
+ 1
c
6
u
40
− 17u
38
+ ··· − u + 1
c
7
u
40
+ 10u
38
+ ··· − 2u + 1
c
8
u
40
+ 4u
39
+ ··· + 12u
2
+ 1
c
9
u
40
− 6u
39
+ ··· + 2u + 1
c
10
u
40
− 20u
38
+ ··· − 14u + 4
c
11
u
40
− 17u
38
+ ··· + u + 1
c
12
u
40
+ 6u
39
+ ··· − 2u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
40
+ 20y
39
+ ··· + 2y + 1
c
2
, c
7
y
40
+ 20y
39
+ ··· + 22y + 1
c
3
y
40
+ 4y
39
+ ··· + 2338y + 121
c
4
, c
10
y
40
− 40y
39
+ ··· − 412y + 16
c
5
, c
8
y
40
+ 20y
39
+ ··· + 24y + 1
c
6
, c
11
y
40
− 34y
39
+ ··· − 31y + 1
c
9
, c
12
y
40
+ 18y
39
+ ··· + 22y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.899350 + 0.577529I
a = −1.98711 + 0.45610I
b = 0.622607 + 0.693283I
2.88731 − 4.43937I 0
u = 0.899350 − 0.577529I
a = −1.98711 − 0.45610I
b = 0.622607 − 0.693283I
2.88731 + 4.43937I 0
u = −0.771374 + 0.507840I
a = 2.33038 + 1.36972I
b = −0.415320 + 0.595857I
1.21042 + 8.79302I −8.0000 − 15.2951I
u = −0.771374 − 0.507840I
a = 2.33038 − 1.36972I
b = −0.415320 − 0.595857I
1.21042 − 8.79302I −8.0000 + 15.2951I
u = 0.818884 + 0.725152I
a = −0.360691 + 0.099336I
b = 0.517521 − 0.918025I
3.02155 − 0.68253I 0
u = 0.818884 − 0.725152I
a = −0.360691 − 0.099336I
b = 0.517521 + 0.918025I
3.02155 + 0.68253I 0
u = 0.789624 + 0.801026I
a = 0.095730 − 0.695850I
b = −0.281263 − 1.050680I
−2.13357 + 1.05561I 0
u = 0.789624 − 0.801026I
a = 0.095730 + 0.695850I
b = −0.281263 + 1.050680I
−2.13357 − 1.05561I 0
u = 1.134320 + 0.283044I
a = 1.65617 − 0.51114I
b = −0.486456 − 1.087880I
−3.64322 − 7.23389I 0
u = 1.134320 − 0.283044I
a = 1.65617 + 0.51114I
b = −0.486456 + 1.087880I
−3.64322 + 7.23389I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.218410 + 0.000708I
a = 0.890083 − 0.463578I
b = −0.927266 + 0.209096I
−6.27940 − 2.87115I 0
u = 1.218410 − 0.000708I
a = 0.890083 + 0.463578I
b = −0.927266 − 0.209096I
−6.27940 + 2.87115I 0
u = −1.220170 + 0.001959I
a = −1.38349 + 0.35168I
b = 1.202370 − 0.225851I
−5.23034 + 1.12832I 0
u = −1.220170 − 0.001959I
a = −1.38349 − 0.35168I
b = 1.202370 + 0.225851I
−5.23034 − 1.12832I 0
u = −1.219900 + 0.210977I
a = −1.71901 + 0.11396I
b = 0.570103 − 1.151380I
−2.06361 + 4.49367I 0
u = −1.219900 − 0.210977I
a = −1.71901 − 0.11396I
b = 0.570103 + 1.151380I
−2.06361 − 4.49367I 0
u = −0.721281 + 0.002861I
a = −2.61714 − 0.19059I
b = 1.221450 − 0.243129I
−3.19463 + 1.13123I −8.02569 + 3.77838I
u = −0.721281 − 0.002861I
a = −2.61714 + 0.19059I
b = 1.221450 + 0.243129I
−3.19463 − 1.13123I −8.02569 − 3.77838I
u = 0.719567 + 0.000653I
a = 3.01855 + 0.49647I
b = −0.932208 + 0.203500I
−4.24381 − 2.87136I −19.4017 + 5.7536I
u = 0.719567 − 0.000653I
a = 3.01855 − 0.49647I
b = −0.932208 − 0.203500I
−4.24381 + 2.87136I −19.4017 − 5.7536I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.018040 + 0.830561I
a = −1.076150 + 0.236670I
b = 0.508537 + 0.998667I
3.19718 − 5.06362I 0
u = 1.018040 − 0.830561I
a = −1.076150 − 0.236670I
b = 0.508537 − 0.998667I
3.19718 + 5.06362I 0
u = 0.585960 + 0.313272I
a = −0.282092 + 1.384440I
b = 0.30459 − 1.58825I
6.44692 − 0.07336I 0.630571 − 0.867125I
u = 0.585960 − 0.313272I
a = −0.282092 − 1.384440I
b = 0.30459 + 1.58825I
6.44692 + 0.07336I 0.630571 + 0.867125I
u = 1.374750 + 0.067097I
a = 0.238618 − 1.251340I
b = −0.230712 + 0.549070I
−5.85987 − 3.57562I 0
u = 1.374750 − 0.067097I
a = 0.238618 + 1.251340I
b = −0.230712 − 0.549070I
−5.85987 + 3.57562I 0
u = −0.574505 + 0.218738I
a = 0.16213 + 1.49614I
b = −0.04533 − 1.65778I
6.00470 + 6.07612I −1.36573 − 1.75090I
u = −0.574505 − 0.218738I
a = 0.16213 − 1.49614I
b = −0.04533 + 1.65778I
6.00470 − 6.07612I −1.36573 + 1.75090I
u = −1.409820 + 0.031067I
a = −0.654868 + 1.133550I
b = 0.142132 − 0.501677I
−5.27021 − 0.62979I 0
u = −1.409820 − 0.031067I
a = −0.654868 − 1.133550I
b = 0.142132 + 0.501677I
−5.27021 + 0.62979I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.443927 + 0.269390I
a = 1.58753 − 0.09432I
b = 0.248336 + 1.022720I
0.67491 − 2.42493I −11.29395 + 4.18149I
u = −0.443927 − 0.269390I
a = 1.58753 + 0.09432I
b = 0.248336 − 1.022720I
0.67491 + 2.42493I −11.29395 − 4.18149I
u = −0.286500 + 0.407663I
a = −0.14679 + 2.97210I
b = −0.133268 + 0.816509I
−0.69255 + 1.78645I −5.62644 − 4.45755I
u = −0.286500 − 0.407663I
a = −0.14679 − 2.97210I
b = −0.133268 − 0.816509I
−0.69255 − 1.78645I −5.62644 + 4.45755I
u = −1.55661 + 0.45423I
a = −0.638502 + 0.100725I
b = 0.303109 − 1.266040I
0.75342 + 5.34406I 0
u = −1.55661 − 0.45423I
a = −0.638502 − 0.100725I
b = 0.303109 + 1.266040I
0.75342 − 5.34406I 0
u = 1.55854 + 0.78714I
a = −0.317470 − 0.309119I
b = −0.170827 + 0.809194I
−3.20962 + 3.06740I 0
u = 1.55854 − 0.78714I
a = −0.317470 + 0.309119I
b = −0.170827 − 0.809194I
−3.20962 − 3.06740I 0
u = −1.91336 + 0.27223I
a = −0.295881 + 0.193659I
b = −0.018100 − 0.696067I
−2.11477 − 4.17128I 0
u = −1.91336 − 0.27223I
a = −0.295881 − 0.193659I
b = −0.018100 + 0.696067I
−2.11477 + 4.17128I 0
28
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
40
− 20u
39
+ ··· − 22u + 1)(u
148
+ 61u
147
+ ··· − 482592u + 289)
c
2
(u
40
+ 10u
38
+ ··· + 2u + 1)(u
148
+ u
147
+ ··· + 756u − 17)
c
3
(u
40
+ 2u
38
+ ··· + 4u + 11)
· (u
148
+ u
147
+ ··· + 218802202u − 23765389)
c
4
(u
40
− 20u
38
+ ··· + 14u + 4)(u
148
− u
147
+ ··· − 53808u − 30112)
c
5
(u
40
− 4u
39
+ ··· + 12u
2
+ 1)(u
148
− 3u
147
+ ··· − 2u + 1)
c
6
(u
40
− 17u
38
+ ··· − u + 1)(u
148
+ u
147
+ ··· + 72727u − 63873)
c
7
(u
40
+ 10u
38
+ ··· − 2u + 1)(u
148
+ u
147
+ ··· + 756u − 17)
c
8
(u
40
+ 4u
39
+ ··· + 12u
2
+ 1)(u
148
− 3u
147
+ ··· − 2u + 1)
c
9
(u
40
− 6u
39
+ ··· + 2u + 1)(u
148
− 3u
147
+ ··· + 27474u − 19583)
c
10
(u
40
− 20u
38
+ ··· − 14u + 4)(u
148
− u
147
+ ··· − 53808u − 30112)
c
11
(u
40
− 17u
38
+ ··· + u + 1)(u
148
+ u
147
+ ··· + 72727u − 63873)
c
12
(u
40
+ 6u
39
+ ··· − 2u + 1)(u
148
− 3u
147
+ ··· + 27474u − 19583)
29
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
40
+ 20y
39
+ ··· + 2y + 1)
· (y
148
+ 73y
147
+ ··· − 238131873368y + 83521)
c
2
, c
7
(y
40
+ 20y
39
+ ··· + 22y + 1)(y
148
+ 61y
147
+ ··· − 482592y + 289)
c
3
(y
40
+ 4y
39
+ ··· + 2338y + 121)
· (y
148
+ 33y
147
+ ··· + 2075029942090772y + 564793714321321)
c
4
, c
10
(y
40
− 40y
39
+ ··· − 412y + 16)
· (y
148
− 103y
147
+ ··· − 18411894016y + 906732544)
c
5
, c
8
(y
40
+ 20y
39
+ ··· + 24y + 1)(y
148
+ 77y
147
+ ··· + 6y + 1)
c
6
, c
11
(y
40
− 34y
39
+ ··· − 31y + 1)
· (y
148
− 93y
147
+ ··· − 115187567377y + 4079760129)
c
9
, c
12
(y
40
+ 18y
39
+ ··· + 22y + 1)
· (y
148
+ 83y
147
+ ··· + 12878707260y + 383493889)
30
