12n
0863
(K12n
0863
)
A knot diagram
1
Linearized knot diagam
4 8 10 11 9 12 2 6 1 2 5 8
Solving Sequence
2,8 3,10
4 11 5 1 7 9 12 6
c
2
c
3
c
10
c
4
c
1
c
7
c
9
c
12
c
6
c
5
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.48412 × 10
552
u
104
+ 1.20399 × 10
552
u
103
+ ··· + 1.12741 × 10
553
b − 4.63442 × 10
554
,
3.55029 × 10
554
u
104
+ 2.93066 × 10
554
u
103
+ ··· + 6.42625 × 10
554
a − 1.17419 × 10
557
,
u
105
+ u
104
+ ··· − 170u − 57i
I
u
2
= h1.77671 × 10
24
u
32
+ 1.53488 × 10
24
u
31
+ ··· + 1.44503 × 10
24
b − 5.63759 × 10
24
,
8.36483 × 10
24
u
32
+ 5.76140 × 10
24
u
31
+ ··· + 1.44503 × 10
24
a − 2.52600 × 10
25
, u
33
+ 5u
31
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 138 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
= h1.48 × 10
552
u
104
+ 1.20 × 10
552
u
103
+ · · · + 1.13 × 10
553
b − 4.63 ×
10
554
, 3.55 × 10
554
u
104
+ 2.93 × 10
554
u
103
+ · · · + 6.43 × 10
554
a − 1.17 ×
10
557
, u
105
+ u
104
+ · · · − 170u − 57i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
u
2
a
10
=
−0.552466u
104
− 0.456045u
103
+ ··· − 517.092u + 182.718
−0.131639u
104
− 0.106792u
103
+ ··· − 106.123u + 41.1066
a
4
=
0.561311u
104
+ 0.459171u
103
+ ··· + 482.206u − 177.562
−0.00726235u
104
− 0.00463571u
103
+ ··· + 7.36074u + 2.13346
a
11
=
−0.684105u
104
− 0.562837u
103
+ ··· − 623.216u + 223.824
−0.131639u
104
− 0.106792u
103
+ ··· − 106.123u + 41.1066
a
5
=
−0.436986u
104
− 0.362545u
103
+ ··· − 426.067u + 147.107
−0.204326u
104
− 0.164531u
103
+ ··· − 152.977u + 63.6197
a
1
=
−0.0563406u
104
− 0.0414995u
103
+ ··· − 13.6473u + 14.1812
0.199358u
104
+ 0.160284u
103
+ ··· + 145.605u − 61.6449
a
7
=
u
u
a
9
=
−0.642845u
104
− 0.522829u
103
+ ··· − 541.471u + 206.336
0.232514u
104
+ 0.186815u
103
+ ··· + 159.915u − 71.2101
a
12
=
−0.0563406u
104
− 0.0414995u
103
+ ··· − 13.6473u + 14.1812
0.202183u
104
+ 0.162480u
103
+ ··· + 146.294u − 62.4908
a
6
=
0.00569159u
104
+ 0.00768304u
103
+ ··· + 48.7098u − 14.8581
−0.0142608u
104
− 0.0142884u
103
+ ··· − 13.3992u + 6.38063
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0298050u
104
+ 0.0240412u
103
+ ··· − 80.5730u + 3.74527
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
105
− 6u
104
+ ··· − 1036u − 76
c
2
, c
7
u
105
+ u
104
+ ··· − 170u − 57
c
3
u
105
− 3u
104
+ ··· − 79493u + 29383
c
4
, c
11
u
105
− 5u
104
+ ··· + 1974185u + 408799
c
5
, c
8
u
105
− 4u
104
+ ··· − 703u + 103
c
6
u
105
+ u
104
+ ··· + 52772864u + 12173312
c
9
u
105
+ 4u
104
+ ··· − 34152u − 90143
c
10
u
105
+ 4u
103
+ ··· − 15298u − 4321
c
12
u
105
+ 15u
103
+ ··· − 9777498u − 803449
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
105
− 38y
104
+ ··· + 1131816y −5776
c
2
, c
7
y
105
+ 71y
104
+ ··· + 115084y −3249
c
3
y
105
− 25y
104
+ ··· + 61420019161y −863360689
c
4
, c
11
y
105
− 67y
104
+ ··· + 5174846874963y −167116622401
c
5
, c
8
y
105
+ 58y
104
+ ··· + 102603y −10609
c
6
y
105
+ 7y
104
+ ··· − 4512411558084608y −148189525049344
c
9
y
105
+ 28y
104
+ ··· − 370452665546y −8125760449
c
10
y
105
+ 8y
104
+ ··· + 2003573366y −18671041
c
12
y
105
+ 30y
104
+ ··· − 43751002199554y −645530295601
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00885
a = −1.06197
b = −0.898102
−5.78725 0
u = 0.348195 + 0.965456I
a = −0.662421 − 1.025780I
b = 0.710406 − 0.058573I
2.72409 − 1.77279I 0
u = 0.348195 − 0.965456I
a = −0.662421 + 1.025780I
b = 0.710406 + 0.058573I
2.72409 + 1.77279I 0
u = −0.882405 + 0.553989I
a = −0.074437 − 1.234280I
b = −0.803484 − 0.350969I
−3.02144 + 4.95106I 0
u = −0.882405 − 0.553989I
a = −0.074437 + 1.234280I
b = −0.803484 + 0.350969I
−3.02144 − 4.95106I 0
u = −1.048450 + 0.016990I
a = 0.150121 + 0.243755I
b = 0.887919 + 0.754009I
2.85999 + 1.67647I 0
u = −1.048450 − 0.016990I
a = 0.150121 − 0.243755I
b = 0.887919 − 0.754009I
2.85999 − 1.67647I 0
u = −0.039793 + 0.949685I
a = −0.94004 + 2.15880I
b = 0.325952 + 0.295385I
1.139280 + 0.028861I 0
u = −0.039793 − 0.949685I
a = −0.94004 − 2.15880I
b = 0.325952 − 0.295385I
1.139280 − 0.028861I 0
u = 0.154833 + 1.061630I
a = −0.189881 − 0.985439I
b = 0.219686 − 0.887030I
3.52843 + 0.34309I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.154833 − 1.061630I
a = −0.189881 + 0.985439I
b = 0.219686 + 0.887030I
3.52843 − 0.34309I 0
u = −0.103126 + 1.071570I
a = 2.55043 − 0.88486I
b = −0.460766 − 0.226733I
1.67730 − 0.43540I 0
u = −0.103126 − 1.071570I
a = 2.55043 + 0.88486I
b = −0.460766 + 0.226733I
1.67730 + 0.43540I 0
u = 0.280394 + 1.046660I
a = −0.855336 − 0.998668I
b = 0.279498 + 0.422370I
3.38541 + 4.37298I 0
u = 0.280394 − 1.046660I
a = −0.855336 + 0.998668I
b = 0.279498 − 0.422370I
3.38541 − 4.37298I 0
u = 0.865149 + 0.289940I
a = 0.448533 − 0.229635I
b = −0.572847 + 0.285068I
3.17390 + 3.61321I 0
u = 0.865149 − 0.289940I
a = 0.448533 + 0.229635I
b = −0.572847 − 0.285068I
3.17390 − 3.61321I 0
u = −0.192554 + 1.080830I
a = −1.13241 + 0.91785I
b = 0.369316 − 0.142754I
0.364601 − 1.008040I 0
u = −0.192554 − 1.080830I
a = −1.13241 − 0.91785I
b = 0.369316 + 0.142754I
0.364601 + 1.008040I 0
u = −1.106130 + 0.022263I
a = 0.304230 + 0.064905I
b = −0.620472 − 0.284639I
−0.842858 + 0.577647I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.106130 − 0.022263I
a = 0.304230 − 0.064905I
b = −0.620472 + 0.284639I
−0.842858 − 0.577647I 0
u = −0.147308 + 1.132450I
a = 0.680847 + 0.558761I
b = −0.08074 − 1.91420I
4.01128 − 4.49825I 0
u = −0.147308 − 1.132450I
a = 0.680847 − 0.558761I
b = −0.08074 + 1.91420I
4.01128 + 4.49825I 0
u = −0.083055 + 1.237500I
a = −1.164870 + 0.253601I
b = 0.174375 − 0.050687I
−0.66575 − 1.62690I 0
u = −0.083055 − 1.237500I
a = −1.164870 − 0.253601I
b = 0.174375 + 0.050687I
−0.66575 + 1.62690I 0
u = 1.236050 + 0.239157I
a = 0.227848 − 0.167445I
b = −0.572645 + 0.208358I
2.51261 − 5.54800I 0
u = 1.236050 − 0.239157I
a = 0.227848 + 0.167445I
b = −0.572645 − 0.208358I
2.51261 + 5.54800I 0
u = 1.226200 + 0.357895I
a = −0.53776 − 1.86174I
b = 0.72445 − 1.71790I
−5.08876 − 5.11598I 0
u = 1.226200 − 0.357895I
a = −0.53776 + 1.86174I
b = 0.72445 + 1.71790I
−5.08876 + 5.11598I 0
u = 0.063832 + 1.295060I
a = 1.65525 − 0.34732I
b = −2.26657 + 0.80603I
−0.57254 − 2.89314I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.063832 − 1.295060I
a = 1.65525 + 0.34732I
b = −2.26657 − 0.80603I
−0.57254 + 2.89314I 0
u = −1.238160 + 0.463453I
a = 0.79304 − 1.45662I
b = 0.03881 − 1.52223I
−4.93497 + 2.84907I 0
u = −1.238160 − 0.463453I
a = 0.79304 + 1.45662I
b = 0.03881 + 1.52223I
−4.93497 − 2.84907I 0
u = −0.399911 + 1.275490I
a = −0.172192 + 0.478716I
b = 0.058675 + 1.256580I
−1.54838 + 3.08573I 0
u = −0.399911 − 1.275490I
a = −0.172192 − 0.478716I
b = 0.058675 − 1.256580I
−1.54838 − 3.08573I 0
u = 0.229126 + 1.346680I
a = −0.376831 − 0.495639I
b = 0.296690 − 1.284650I
1.23760 − 8.74933I 0
u = 0.229126 − 1.346680I
a = −0.376831 + 0.495639I
b = 0.296690 + 1.284650I
1.23760 + 8.74933I 0
u = −0.041520 + 1.372500I
a = 1.164370 + 0.676393I
b = −1.24873 − 1.66615I
4.91419 + 6.34054I 0
u = −0.041520 − 1.372500I
a = 1.164370 − 0.676393I
b = −1.24873 + 1.66615I
4.91419 − 6.34054I 0
u = 0.228098 + 1.362980I
a = 1.294570 − 0.291387I
b = −1.35669 + 0.81998I
−1.00864 − 4.56909I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.228098 − 1.362980I
a = 1.294570 + 0.291387I
b = −1.35669 − 0.81998I
−1.00864 + 4.56909I 0
u = 0.312196 + 0.497800I
a = 0.639712 − 1.158230I
b = 0.469719 − 0.217151I
2.47650 − 1.66847I −3.45154 + 5.02678I
u = 0.312196 − 0.497800I
a = 0.639712 + 1.158230I
b = 0.469719 + 0.217151I
2.47650 + 1.66847I −3.45154 − 5.02678I
u = 0.003272 + 0.582488I
a = 1.79426 − 0.05896I
b = −0.357439 + 1.134590I
−2.68145 + 2.02181I −11.81133 − 2.88487I
u = 0.003272 − 0.582488I
a = 1.79426 + 0.05896I
b = −0.357439 − 1.134590I
−2.68145 − 2.02181I −11.81133 + 2.88487I
u = −0.31220 + 1.39758I
a = 1.285580 + 0.215743I
b = −1.23383 − 0.73383I
0.27047 + 8.38475I 0
u = −0.31220 − 1.39758I
a = 1.285580 − 0.215743I
b = −1.23383 + 0.73383I
0.27047 − 8.38475I 0
u = 0.29460 + 1.40974I
a = 0.092946 − 0.660471I
b = 0.59127 + 2.41827I
−0.673280 − 0.650624I 0
u = 0.29460 − 1.40974I
a = 0.092946 + 0.660471I
b = 0.59127 − 2.41827I
−0.673280 + 0.650624I 0
u = −0.07668 + 1.46399I
a = −1.206110 + 0.360721I
b = 1.60191 − 0.64461I
8.68127 − 2.24594I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.07668 − 1.46399I
a = −1.206110 − 0.360721I
b = 1.60191 + 0.64461I
8.68127 + 2.24594I 0
u = −0.70994 + 1.28783I
a = −1.47288 + 0.37777I
b = 1.19730 + 1.36513I
6.25218 + 7.58348I 0
u = −0.70994 − 1.28783I
a = −1.47288 − 0.37777I
b = 1.19730 − 1.36513I
6.25218 − 7.58348I 0
u = 0.33058 + 1.44175I
a = −0.938226 − 0.413350I
b = 1.360830 + 0.106838I
4.89114 − 0.64461I 0
u = 0.33058 − 1.44175I
a = −0.938226 + 0.413350I
b = 1.360830 − 0.106838I
4.89114 + 0.64461I 0
u = −0.75671 + 1.27175I
a = 0.736155 − 0.455360I
b = −0.623160 − 0.429076I
2.18463 + 5.33911I 0
u = −0.75671 − 1.27175I
a = 0.736155 + 0.455360I
b = −0.623160 + 0.429076I
2.18463 − 5.33911I 0
u = 1.47880 + 0.12223I
a = −0.185930 + 0.149991I
b = −0.651144 + 0.052905I
−6.81012 − 0.61547I 0
u = 1.47880 − 0.12223I
a = −0.185930 − 0.149991I
b = −0.651144 − 0.052905I
−6.81012 + 0.61547I 0
u = 0.62230 + 1.35537I
a = 0.840369 + 0.344336I
b = −0.643401 + 0.428845I
6.34667 − 1.10144I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.62230 − 1.35537I
a = 0.840369 − 0.344336I
b = −0.643401 − 0.428845I
6.34667 + 1.10144I 0
u = −0.482486
a = 0.684884
b = −0.314458
−0.781350 −12.3030
u = 0.42555 + 1.45991I
a = 1.361490 + 0.007867I
b = −1.090170 + 0.618422I
8.14844 − 11.14900I 0
u = 0.42555 − 1.45991I
a = 1.361490 − 0.007867I
b = −1.090170 − 0.618422I
8.14844 + 11.14900I 0
u = −0.13865 + 1.51969I
a = −0.551295 + 0.819686I
b = 1.31421 − 2.57294I
3.05959 + 7.01100I 0
u = −0.13865 − 1.51969I
a = −0.551295 − 0.819686I
b = 1.31421 + 2.57294I
3.05959 − 7.01100I 0
u = 0.13338 + 1.52215I
a = 1.077670 − 0.365529I
b = −1.04700 + 1.06147I
0.81638 − 5.91781I 0
u = 0.13338 − 1.52215I
a = 1.077670 + 0.365529I
b = −1.04700 − 1.06147I
0.81638 + 5.91781I 0
u = 0.46963 + 1.46115I
a = 1.318810 + 0.145274I
b = −1.025160 + 0.640165I
8.22409 − 1.50078I 0
u = 0.46963 − 1.46115I
a = 1.318810 − 0.145274I
b = −1.025160 − 0.640165I
8.22409 + 1.50078I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.43091 + 1.47947I
a = 1.296670 − 0.036495I
b = −1.071350 − 0.646164I
4.39410 + 6.33235I 0
u = −0.43091 − 1.47947I
a = 1.296670 + 0.036495I
b = −1.071350 + 0.646164I
4.39410 − 6.33235I 0
u = 0.083730 + 0.451200I
a = 0.677120 + 0.311089I
b = 0.201882 + 0.955068I
−0.74473 + 1.44413I −5.53724 − 4.67783I
u = 0.083730 − 0.451200I
a = 0.677120 − 0.311089I
b = 0.201882 − 0.955068I
−0.74473 − 1.44413I −5.53724 + 4.67783I
u = 0.203831 + 0.380233I
a = 2.08834 − 2.27611I
b = −0.371039 + 1.241660I
0.89739 − 6.76404I −11.19086 + 8.43539I
u = 0.203831 − 0.380233I
a = 2.08834 + 2.27611I
b = −0.371039 − 1.241660I
0.89739 + 6.76404I −11.19086 − 8.43539I
u = −0.23577 + 1.55425I
a = 1.078230 + 0.233013I
b = −1.025230 − 0.881236I
1.29794 + 3.70302I 0
u = −0.23577 − 1.55425I
a = 1.078230 − 0.233013I
b = −1.025230 + 0.881236I
1.29794 − 3.70302I 0
u = −1.57917 + 0.03103I
a = −0.0533625 − 0.0982304I
b = −0.605868 − 0.018490I
−5.66849 − 2.55661I 0
u = −1.57917 − 0.03103I
a = −0.0533625 + 0.0982304I
b = −0.605868 + 0.018490I
−5.66849 + 2.55661I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.83022 + 1.34537I
a = 0.663527 + 0.396428I
b = −0.613004 + 0.434990I
5.49972 − 10.30020I 0
u = 0.83022 − 1.34537I
a = 0.663527 − 0.396428I
b = −0.613004 − 0.434990I
5.49972 + 10.30020I 0
u = 1.50373 + 0.50545I
a = 0.1123280 + 0.0511668I
b = 1.32773 + 1.01370I
−2.78390 + 4.27025I 0
u = 1.50373 − 0.50545I
a = 0.1123280 − 0.0511668I
b = 1.32773 − 1.01370I
−2.78390 − 4.27025I 0
u = −0.066939 + 0.405666I
a = 2.50737 + 0.82756I
b = −0.466976 − 1.200310I
−4.16732 + 2.73517I −15.0758 − 4.3982I
u = −0.066939 − 0.405666I
a = 2.50737 − 0.82756I
b = −0.466976 + 1.200310I
−4.16732 − 2.73517I −15.0758 + 4.3982I
u = −0.183913 + 0.325454I
a = 0.843966 + 0.063812I
b = −0.815559 − 0.074780I
−2.02226 − 1.47858I −7.39555 + 0.13809I
u = −0.183913 − 0.325454I
a = 0.843966 − 0.063812I
b = −0.815559 + 0.074780I
−2.02226 + 1.47858I −7.39555 − 0.13809I
u = −0.49895 + 1.55034I
a = −0.809382 + 0.317619I
b = 1.396580 + 0.161121I
7.73256 + 4.65172I 0
u = −0.49895 − 1.55034I
a = −0.809382 − 0.317619I
b = 1.396580 − 0.161121I
7.73256 − 4.65172I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.65042 + 0.25808I
a = 0.0663876 − 0.0767783I
b = 1.35004 − 0.76460I
−0.42589 − 10.17330I 0
u = −1.65042 − 0.25808I
a = 0.0663876 + 0.0767783I
b = 1.35004 + 0.76460I
−0.42589 + 10.17330I 0
u = 0.80656 + 1.46898I
a = −1.234740 − 0.340385I
b = 1.31985 − 1.36023I
0.52720 − 12.47360I 0
u = 0.80656 − 1.46898I
a = −1.234740 + 0.340385I
b = 1.31985 + 1.36023I
0.52720 + 12.47360I 0
u = −0.74976 + 1.53505I
a = −1.214490 + 0.255160I
b = 1.33025 + 1.30767I
3.8245 + 18.4525I 0
u = −0.74976 − 1.53505I
a = −1.214490 − 0.255160I
b = 1.33025 − 1.30767I
3.8245 − 18.4525I 0
u = 0.175097 + 0.107376I
a = 14.0391 − 4.2371I
b = 1.063330 + 0.199075I
−3.38412 + 6.82740I −0.24680 + 3.56619I
u = 0.175097 − 0.107376I
a = 14.0391 + 4.2371I
b = 1.063330 − 0.199075I
−3.38412 − 6.82740I −0.24680 − 3.56619I
u = 0.104744 + 0.156467I
a = 1.77469 + 1.12513I
b = −0.457202 − 1.206330I
−5.79468 + 3.08478I −2.30309 − 8.24854I
u = 0.104744 − 0.156467I
a = 1.77469 − 1.12513I
b = −0.457202 + 1.206330I
−5.79468 − 3.08478I −2.30309 + 8.24854I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.187201 + 0.005049I
a = 1.69866 + 1.23487I
b = −0.461309 − 1.195210I
−5.26068 + 6.07686I −7.33125 + 6.40979I
u = −0.187201 − 0.005049I
a = 1.69866 − 1.23487I
b = −0.461309 + 1.195210I
−5.26068 − 6.07686I −7.33125 − 6.40979I
u = −0.174967
a = 19.9870
b = 1.20826
−7.48184 4.23660
u = −0.22616 + 1.94445I
a = −0.865159 + 0.094520I
b = 1.93324 + 0.15107I
7.42005 − 2.11875I 0
u = −0.22616 − 1.94445I
a = −0.865159 − 0.094520I
b = 1.93324 − 0.15107I
7.42005 + 2.11875I 0
15
II.
I
u
2
= h1.78 × 10
24
u
32
+ 1.53 × 10
24
u
31
+ · · · + 1.45 × 10
24
b − 5.64 × 10
24
, 8.36 ×
10
24
u
32
+5.76×10
24
u
31
+· · ·+1.45×10
24
a−2.53×10
25
, u
33
+5u
31
+· · ·−2u+1i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
u
2
a
10
=
−5.78870u
32
− 3.98705u
31
+ ··· − 15.7855u + 17.4806
−1.22953u
32
− 1.06218u
31
+ ··· − 5.12342u + 3.90137
a
4
=
−2.05054u
32
− 1.27865u
31
+ ··· − 5.29197u + 9.20252
0.0977018u
32
− 0.0773857u
31
+ ··· − 1.42043u − 0.000334547
a
11
=
−7.01823u
32
− 5.04923u
31
+ ··· − 20.9089u + 21.3820
−1.22953u
32
− 1.06218u
31
+ ··· − 5.12342u + 3.90137
a
5
=
5.48485u
32
+ 3.51532u
31
+ ··· + 12.8475u − 17.5663
0.394815u
32
− 0.230944u
31
+ ··· − 3.46786u − 2.71207
a
1
=
0.801376u
32
+ 0.605521u
31
+ ··· + 3.98219u − 4.91088
0.703336u
32
+ 0.732456u
31
+ ··· + 5.87035u − 1.03419
a
7
=
u
u
a
9
=
−4.35415u
32
− 2.88013u
31
+ ··· − 8.98329u + 10.2597
0.206916u
32
+ 0.511697u
31
+ ··· + 4.54051u + 1.95656
a
12
=
0.801376u
32
+ 0.605521u
31
+ ··· + 3.98219u − 4.91088
0.919580u
32
+ 0.973673u
31
+ ··· + 5.46069u − 0.428667
a
6
=
0.831163u
32
+ 1.07641u
31
+ ··· + 7.83590u − 1.47642
1.94806u
32
+ 0.0176490u
31
+ ··· − 0.375834u − 3.02459
(ii) Obstruction class = 1
(iii) Cusp Shapes =
2826846309325139245397491
240838052377061530641356
u
32
+
3660222577702839906646133
481676104754123061282712
u
31
+ ··· +
9501060498127386317304419
240838052377061530641356
u −
27385233709203628237045931
481676104754123061282712
16
(iv) u-Polynomials at the component
17
Crossings u-Polynomials at each crossing
c
1
u
33
− 11u
32
+ ··· + 5u − 1
c
2
u
33
+ 5u
31
+ ··· − 2u + 1
c
3
u
33
+ 4u
32
+ ··· + 3u + 1
c
4
u
33
+ 4u
32
+ ··· + 5u + 1
c
5
u
33
− 7u
32
+ ··· + 39u − 9
c
6
u
33
− 11u
31
+ ··· − 31u + 11
c
7
u
33
+ 5u
31
+ ··· − 2u − 1
c
8
u
33
+ 7u
32
+ ··· + 39u + 9
c
9
u
33
+ 3u
32
+ ··· − 532u + 71
c
10
u
33
− 3u
32
+ ··· + 28u + 11
c
11
u
33
− 4u
32
+ ··· + 5u − 1
c
12
u
33
+ 3u
32
+ ··· + 2u − 1
18
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
33
− 23y
32
+ ··· + 13y −1
c
2
, c
7
y
33
+ 10y
32
+ ··· + 16y −1
c
3
y
33
+ 6y
32
+ ··· − 7y −1
c
4
, c
11
y
33
− 28y
32
+ ··· − y −1
c
5
, c
8
y
33
+ 17y
32
+ ··· − 945y −81
c
6
y
33
− 22y
32
+ ··· − 535y −121
c
9
y
33
+ 7y
32
+ ··· + 2290y −5041
c
10
y
33
+ 19y
32
+ ··· + 1774y −121
c
12
y
33
− 11y
32
+ ··· + 22y −1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.047398 + 1.067740I
a = −1.94243 + 1.63642I
b = 0.287384 + 0.108869I
1.38560 + 0.28953I 10.35319 + 8.61332I
u = −0.047398 − 1.067740I
a = −1.94243 − 1.63642I
b = 0.287384 − 0.108869I
1.38560 − 0.28953I 10.35319 − 8.61332I
u = 1.076700 + 0.385375I
a = −0.92843 − 1.73329I
b = −0.241219 − 1.334150I
−5.30370 − 3.00443I −22.1299 + 5.0938I
u = 1.076700 − 0.385375I
a = −0.92843 + 1.73329I
b = −0.241219 + 1.334150I
−5.30370 + 3.00443I −22.1299 − 5.0938I
u = 0.177500 + 0.772032I
a = −0.32686 − 2.17301I
b = 0.346860 − 0.435015I
2.24094 + 0.64439I −5.29105 + 3.68105I
u = 0.177500 − 0.772032I
a = −0.32686 + 2.17301I
b = 0.346860 + 0.435015I
2.24094 − 0.64439I −5.29105 − 3.68105I
u = −1.097380 + 0.526178I
a = 0.98574 − 1.81257I
b = −0.95771 − 1.65709I
−5.34522 + 4.74467I −18.5790 − 0.1903I
u = −1.097380 − 0.526178I
a = 0.98574 + 1.81257I
b = −0.95771 + 1.65709I
−5.34522 − 4.74467I −18.5790 + 0.1903I
u = −0.003420 + 1.252360I
a = 1.20585 − 0.78434I
b = −0.923516 + 1.039520I
2.72807 − 6.22195I −5.47248 + 6.71175I
u = −0.003420 − 1.252360I
a = 1.20585 + 0.78434I
b = −0.923516 − 1.039520I
2.72807 + 6.22195I −5.47248 − 6.71175I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.691568 + 0.281104I
a = −1.152140 − 0.330539I
b = 0.035133 + 0.816711I
1.43897 + 5.29484I −10.19832 − 3.82720I
u = −0.691568 − 0.281104I
a = −1.152140 + 0.330539I
b = 0.035133 − 0.816711I
1.43897 − 5.29484I −10.19832 + 3.82720I
u = 0.651366 + 0.292883I
a = −0.676182 + 0.606150I
b = 0.292305 + 0.774176I
−1.72184 + 1.07497I −15.5907 − 2.0601I
u = 0.651366 − 0.292883I
a = −0.676182 − 0.606150I
b = 0.292305 − 0.774176I
−1.72184 − 1.07497I −15.5907 + 2.0601I
u = 0.181633 + 1.352750I
a = 0.804492 − 0.237698I
b = −0.74270 + 1.80154I
−0.73421 − 1.70992I −11.70848 + 2.24821I
u = 0.181633 − 1.352750I
a = 0.804492 + 0.237698I
b = −0.74270 − 1.80154I
−0.73421 + 1.70992I −11.70848 − 2.24821I
u = −0.127975 + 1.389140I
a = −0.058961 + 0.785637I
b = 0.22988 − 2.34679I
3.64188 + 7.23533I −3.46590 − 9.12142I
u = −0.127975 − 1.389140I
a = −0.058961 − 0.785637I
b = 0.22988 + 2.34679I
3.64188 − 7.23533I −3.46590 + 9.12142I
u = 1.405720 + 0.063134I
a = −0.266871 + 0.071226I
b = −0.400752 − 0.246696I
−5.96998 − 2.38480I −19.5712 − 0.9458I
u = 1.405720 − 0.063134I
a = −0.266871 − 0.071226I
b = −0.400752 + 0.246696I
−5.96998 + 2.38480I −19.5712 + 0.9458I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.547361 + 0.222088I
a = −0.120353 − 0.165309I
b = −0.559102 + 1.160890I
−6.09791 − 2.87460I −20.4082 − 3.6083I
u = −0.547361 − 0.222088I
a = −0.120353 + 0.165309I
b = −0.559102 − 1.160890I
−6.09791 + 2.87460I −20.4082 + 3.6083I
u = −1.44264 + 0.06161I
a = −0.197023 − 0.055770I
b = −0.686253 + 0.296705I
−6.88348 − 0.94537I −15.1445 + 12.6167I
u = −1.44264 − 0.06161I
a = −0.197023 + 0.055770I
b = −0.686253 − 0.296705I
−6.88348 + 0.94537I −15.1445 − 12.6167I
u = 0.451578 + 0.323925I
a = −0.145044 − 0.182534I
b = −0.389567 + 1.131660I
−5.33852 − 6.40157I −13.5033 + 16.6702I
u = 0.451578 − 0.323925I
a = −0.145044 + 0.182534I
b = −0.389567 − 1.131660I
−5.33852 + 6.40157I −13.5033 − 16.6702I
u = 0.496243 + 0.165983I
a = 4.28178 − 3.61836I
b = 1.076050 − 0.325202I
−3.59142 − 7.04557I −18.8887 + 15.9871I
u = 0.496243 − 0.165983I
a = 4.28178 + 3.61836I
b = 1.076050 + 0.325202I
−3.59142 + 7.04557I −18.8887 − 15.9871I
u = −0.488148
a = 7.01137
b = 1.23162
−7.69362 −34.2900
u = −0.14439 + 1.58533I
a = 1.026680 + 0.290568I
b = −1.18784 − 0.89736I
0.77314 + 4.98555I −8.00000 + 0.I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.14439 − 1.58533I
a = 1.026680 − 0.290568I
b = −1.18784 + 0.89736I
0.77314 − 4.98555I −8.00000 + 0.I
u = −0.09453 + 1.71697I
a = −0.995925 + 0.082753I
b = 1.70523 − 0.19536I
7.95049 − 1.46186I 0
u = −0.09453 − 1.71697I
a = −0.995925 − 0.082753I
b = 1.70523 + 0.19536I
7.95049 + 1.46186I 0
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
33
− 11u
32
+ ··· + 5u − 1)(u
105
− 6u
104
+ ··· − 1036u − 76)
c
2
(u
33
+ 5u
31
+ ··· − 2u + 1)(u
105
+ u
104
+ ··· − 170u − 57)
c
3
(u
33
+ 4u
32
+ ··· + 3u + 1)(u
105
− 3u
104
+ ··· − 79493u + 29383)
c
4
(u
33
+ 4u
32
+ ··· + 5u + 1)(u
105
− 5u
104
+ ··· + 1974185u + 408799)
c
5
(u
33
− 7u
32
+ ··· + 39u − 9)(u
105
− 4u
104
+ ··· − 703u + 103)
c
6
(u
33
− 11u
31
+ ··· − 31u + 11)
· (u
105
+ u
104
+ ··· + 52772864u + 12173312)
c
7
(u
33
+ 5u
31
+ ··· − 2u − 1)(u
105
+ u
104
+ ··· − 170u − 57)
c
8
(u
33
+ 7u
32
+ ··· + 39u + 9)(u
105
− 4u
104
+ ··· − 703u + 103)
c
9
(u
33
+ 3u
32
+ ··· − 532u + 71)(u
105
+ 4u
104
+ ··· − 34152u − 90143)
c
10
(u
33
− 3u
32
+ ··· + 28u + 11)(u
105
+ 4u
103
+ ··· − 15298u − 4321)
c
11
(u
33
− 4u
32
+ ··· + 5u − 1)(u
105
− 5u
104
+ ··· + 1974185u + 408799)
c
12
(u
33
+ 3u
32
+ ··· + 2u − 1)(u
105
+ 15u
103
+ ··· − 9777498u − 803449)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
33
− 23y
32
+ ··· + 13y −1)(y
105
− 38y
104
+ ··· + 1131816y −5776)
c
2
, c
7
(y
33
+ 10y
32
+ ··· + 16y −1)(y
105
+ 71y
104
+ ··· + 115084y −3249)
c
3
(y
33
+ 6y
32
+ ··· − 7y −1)
· (y
105
− 25y
104
+ ··· + 61420019161y −863360689)
c
4
, c
11
(y
33
− 28y
32
+ ··· − y −1)
· (y
105
− 67y
104
+ ··· + 5174846874963y −167116622401)
c
5
, c
8
(y
33
+ 17y
32
+ ··· − 945y −81)
· (y
105
+ 58y
104
+ ··· + 102603y −10609)
c
6
(y
33
− 22y
32
+ ··· − 535y −121)
· (y
105
+ 7y
104
+ ··· − 4512411558084608y −148189525049344)
c
9
(y
33
+ 7y
32
+ ··· + 2290y −5041)
· (y
105
+ 28y
104
+ ··· − 370452665546y −8125760449)
c
10
(y
33
+ 19y
32
+ ··· + 1774y −121)
· (y
105
+ 8y
104
+ ··· + 2003573366y −18671041)
c
12
(y
33
− 11y
32
+ ··· + 22y −1)
· (y
105
+ 30y
104
+ ··· − 43751002199554y −645530295601)
26
