12a
1265
(K12a
1265
)
A knot diagram
1
Linearized knot diagam
5 7 10 9 2 11 1 12 4 6 3 8
Solving Sequence
6,10
11
4,7
3 12 2 5 1 9 8
c
10
c
6
c
3
c
11
c
2
c
5
c
1
c
9
c
8
c
4
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2.07379 × 10
255
u
108
− 2.75072 × 10
255
u
107
+ ··· + 1.59536 × 10
256
b − 5.93025 × 10
255
,
− 2.85670 × 10
255
u
108
− 2.09806 × 10
255
u
107
+ ··· + 1.59536 × 10
256
a + 1.89502 × 10
257
,
u
109
− u
108
+ ··· − 11u − 1i
I
u
2
= h−61909880u
26
− 37523313u
25
+ ··· + 242539b − 102346633,
− 121965917u
26
− 75233918u
25
+ ··· + 242539a − 193272722, u
27
− 6u
25
+ ··· + 9u
2
− 1i
* 2 irreducible components of dim
C
= 0, with total 136 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
= h2.07 × 10
255
u
108
− 2.75 × 10
255
u
107
+ · · · + 1.60 × 10
256
b − 5.93 ×
10
255
, −2.86 × 10
255
u
108
− 2.10 × 10
255
u
107
+ · · · + 1.60 × 10
256
a + 1.90 ×
10
257
, u
109
− u
108
+ · · · − 11u − 1i
(i) Arc colorings
a
6
=
0
u
a
10
=
1
0
a
11
=
1
−u
2
a
4
=
0.179063u
108
+ 0.131510u
107
+ ··· − 1.04736u − 11.8784
−0.129989u
108
+ 0.172420u
107
+ ··· − 0.912281u + 0.371719
a
7
=
u
−u
3
+ u
a
3
=
0.309052u
108
− 0.0409100u
107
+ ··· − 0.135083u − 12.2501
−0.129989u
108
+ 0.172420u
107
+ ··· − 0.912281u + 0.371719
a
12
=
−3.71909u
108
+ 4.03133u
107
+ ··· − 6.89095u + 6.17203
−1.53240u
108
+ 0.953587u
107
+ ··· − 4.61684u − 0.402304
a
2
=
0.631835u
108
− 0.198694u
107
+ ··· − 0.0460130u − 12.1832
−0.0170239u
108
+ 0.114081u
107
+ ··· − 2.96097u + 0.273605
a
5
=
0.688228u
108
+ 0.412394u
107
+ ··· + 34.8906u − 11.0803
0.406094u
108
+ 0.104249u
107
+ ··· + 5.65327u + 1.03987
a
1
=
3.60935u
108
− 4.32794u
107
+ ··· − 4.82469u + 3.17695
1.46357u
108
− 0.289308u
107
+ ··· + 18.8077u + 1.37757
a
9
=
2.37268u
108
− 1.78944u
107
+ ··· + 4.90531u − 4.99223
0.330824u
108
− 0.403588u
107
+ ··· − 4.64106u − 0.253700
a
8
=
−0.0243952u
108
+ 2.39013u
107
+ ··· + 51.8115u + 3.31575
−0.617749u
108
+ 1.05009u
107
+ ··· − 10.7866u − 0.532978
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.197018u
108
− 0.211745u
107
+ ··· − 32.0632u − 8.93887
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
109
− 37u
107
+ ··· + 59522u + 7979
c
2
u
109
− u
108
+ ··· + 8276u + 1297
c
3
, c
4
, c
9
u
109
+ u
108
+ ··· + 256u + 32
c
6
, c
10
u
109
+ u
108
+ ··· − 11u + 1
c
7
, c
8
, c
12
u
109
+ 2u
108
+ ··· − 1969u − 419
c
11
u
109
− 7u
108
+ ··· + 35263u + 3563
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
109
− 74y
108
+ ··· + 1156541080y −63664441
c
2
y
109
+ 13y
108
+ ··· − 254211800y −1682209
c
3
, c
4
, c
9
y
109
+ 109y
108
+ ··· + 137216y −1024
c
6
, c
10
y
109
− 55y
108
+ ··· + 109y −1
c
7
, c
8
, c
12
y
109
+ 104y
108
+ ··· + 3301255y −175561
c
11
y
109
− 7y
108
+ ··· + 969448839y −12694969
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.917295 + 0.388841I
a = −2.97771 + 0.64132I
b = −0.062160 + 1.316590I
−1.67290 − 3.11299I 0
u = 0.917295 − 0.388841I
a = −2.97771 − 0.64132I
b = −0.062160 − 1.316590I
−1.67290 + 3.11299I 0
u = 0.228541 + 0.969277I
a = 0.403082 − 0.308766I
b = 0.541312 − 0.401025I
−2.94127 − 3.17384I 0
u = 0.228541 − 0.969277I
a = 0.403082 + 0.308766I
b = 0.541312 + 0.401025I
−2.94127 + 3.17384I 0
u = −0.888968 + 0.445422I
a = 1.71464 + 0.48468I
b = −0.45791 + 1.36846I
−2.11543 − 7.53198I 0
u = −0.888968 − 0.445422I
a = 1.71464 − 0.48468I
b = −0.45791 − 1.36846I
−2.11543 + 7.53198I 0
u = 0.877149 + 0.430029I
a = −1.90212 + 0.77696I
b = 0.28424 + 1.48490I
−7.93888 + 4.00907I 0
u = 0.877149 − 0.430029I
a = −1.90212 − 0.77696I
b = 0.28424 − 1.48490I
−7.93888 − 4.00907I 0
u = −0.888800 + 0.394316I
a = 2.55286 + 1.03132I
b = −0.04364 + 1.44473I
−7.67955 − 0.12193I 0
u = −0.888800 − 0.394316I
a = 2.55286 − 1.03132I
b = −0.04364 − 1.44473I
−7.67955 + 0.12193I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.995644 + 0.311398I
a = 0.706710 − 0.278460I
b = −0.409925 + 0.785108I
8.58686 + 1.56893I 0
u = 0.995644 − 0.311398I
a = 0.706710 + 0.278460I
b = −0.409925 − 0.785108I
8.58686 − 1.56893I 0
u = −0.951558 + 0.088021I
a = −0.804740 + 0.333709I
b = 0.351609 + 0.845050I
1.361510 − 0.218866I 0
u = −0.951558 − 0.088021I
a = −0.804740 − 0.333709I
b = 0.351609 − 0.845050I
1.361510 + 0.218866I 0
u = −0.030115 + 0.932446I
a = −0.41453 − 1.41539I
b = −0.190470 − 1.327410I
−3.24398 + 0.72576I 0
u = −0.030115 − 0.932446I
a = −0.41453 + 1.41539I
b = −0.190470 + 1.327410I
−3.24398 − 0.72576I 0
u = −0.177661 + 0.911697I
a = −0.616810 − 0.190827I
b = −0.809475 − 0.389422I
2.65935 + 7.11690I 0
u = −0.177661 − 0.911697I
a = −0.616810 + 0.190827I
b = −0.809475 + 0.389422I
2.65935 − 7.11690I 0
u = −0.818616 + 0.425892I
a = 1.33364 + 1.27306I
b = −0.07438 + 1.77511I
−6.74853 − 1.80740I 0
u = −0.818616 − 0.425892I
a = 1.33364 − 1.27306I
b = −0.07438 − 1.77511I
−6.74853 + 1.80740I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.041810 + 0.281133I
a = 0.195601 − 0.995537I
b = −0.091742 − 0.730542I
−0.47156 + 2.62732I 0
u = 1.041810 − 0.281133I
a = 0.195601 + 0.995537I
b = −0.091742 + 0.730542I
−0.47156 − 2.62732I 0
u = 0.841457 + 0.348859I
a = −2.30224 + 2.55558I
b = 0.00477 + 1.64810I
−6.24517 + 1.53642I 0
u = 0.841457 − 0.348859I
a = −2.30224 − 2.55558I
b = 0.00477 − 1.64810I
−6.24517 − 1.53642I 0
u = −1.043380 + 0.349847I
a = 0.59169 − 1.31110I
b = 0.213307 − 0.288789I
3.76245 − 4.90249I 0
u = −1.043380 − 0.349847I
a = 0.59169 + 1.31110I
b = 0.213307 + 0.288789I
3.76245 + 4.90249I 0
u = −0.056570 + 0.887294I
a = 0.23778 − 1.92158I
b = −0.059940 − 1.405360I
−5.49952 + 1.73654I 0
u = −0.056570 − 0.887294I
a = 0.23778 + 1.92158I
b = −0.059940 + 1.405360I
−5.49952 − 1.73654I 0
u = 1.035550 + 0.405055I
a = −0.248386 + 0.014630I
b = 0.987429 − 0.256543I
3.47799 + 0.92445I 0
u = 1.035550 − 0.405055I
a = −0.248386 − 0.014630I
b = 0.987429 + 0.256543I
3.47799 − 0.92445I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.768950 + 0.400282I
a = −0.42544 + 1.60470I
b = −0.15501 + 1.61674I
−8.31025 − 0.46293I 0
u = 0.768950 − 0.400282I
a = −0.42544 − 1.60470I
b = −0.15501 − 1.61674I
−8.31025 + 0.46293I 0
u = 0.351659 + 1.087250I
a = −0.14092 + 1.98936I
b = −0.31351 + 1.47441I
−3.32481 − 11.20770I 0
u = 0.351659 − 1.087250I
a = −0.14092 − 1.98936I
b = −0.31351 − 1.47441I
−3.32481 + 11.20770I 0
u = −0.779063 + 0.357335I
a = 0.65483 + 2.72737I
b = −0.02730 + 1.56178I
−8.07250 − 3.15214I 0. + 9.48648I
u = −0.779063 − 0.357335I
a = 0.65483 − 2.72737I
b = −0.02730 − 1.56178I
−8.07250 + 3.15214I 0. − 9.48648I
u = −0.748158 + 0.403532I
a = −0.017264 + 1.191600I
b = 0.32327 + 1.53971I
−2.59809 + 3.91150I 0
u = −0.748158 − 0.403532I
a = −0.017264 − 1.191600I
b = 0.32327 − 1.53971I
−2.59809 − 3.91150I 0
u = −1.082180 + 0.405592I
a = 0.011986 − 0.151685I
b = −0.846547 − 0.667650I
−0.19217 − 3.18270I 0
u = −1.082180 − 0.405592I
a = 0.011986 + 0.151685I
b = −0.846547 + 0.667650I
−0.19217 + 3.18270I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.751805 + 0.334380I
a = −0.00652 + 3.35811I
b = 0.11632 + 1.47827I
−2.26710 + 6.30546I 0. − 8.32600I
u = 0.751805 − 0.334380I
a = −0.00652 − 3.35811I
b = 0.11632 − 1.47827I
−2.26710 − 6.30546I 0. + 8.32600I
u = −0.530917 + 1.054470I
a = −0.160119 − 0.275138I
b = −0.255742 − 0.184696I
−1.27003 − 1.78460I 0
u = −0.530917 − 1.054470I
a = −0.160119 + 0.275138I
b = −0.255742 + 0.184696I
−1.27003 + 1.78460I 0
u = 1.132170 + 0.343312I
a = −0.779850 + 0.293221I
b = 0.619776 + 0.241214I
3.19928 + 3.72682I 0
u = 1.132170 − 0.343312I
a = −0.779850 − 0.293221I
b = 0.619776 − 0.241214I
3.19928 − 3.72682I 0
u = 1.106170 + 0.430111I
a = 0.199472 − 0.114291I
b = 0.952381 − 0.979483I
4.41035 + 5.76275I 0
u = 1.106170 − 0.430111I
a = 0.199472 + 0.114291I
b = 0.952381 + 0.979483I
4.41035 − 5.76275I 0
u = 1.065550 + 0.525972I
a = 0.265703 − 0.607157I
b = −0.411673 + 0.260447I
8.70742 + 1.89196I 0
u = 1.065550 − 0.525972I
a = 0.265703 + 0.607157I
b = −0.411673 − 0.260447I
8.70742 − 1.89196I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.075170 + 0.509388I
a = −1.01403 − 1.73330I
b = 0.428502 − 1.184510I
3.93776 − 1.49242I 0
u = −1.075170 − 0.509388I
a = −1.01403 + 1.73330I
b = 0.428502 + 1.184510I
3.93776 + 1.49242I 0
u = −1.171430 + 0.225646I
a = 0.376353 + 0.225896I
b = −0.684877 + 0.065030I
2.41069 − 0.38377I 0
u = −1.171430 − 0.225646I
a = 0.376353 − 0.225896I
b = −0.684877 − 0.065030I
2.41069 + 0.38377I 0
u = 0.044851 + 0.798516I
a = −0.35190 − 2.19219I
b = 0.21212 − 1.47986I
−0.26000 − 5.08901I −0.55328 + 3.56824I
u = 0.044851 − 0.798516I
a = −0.35190 + 2.19219I
b = 0.21212 + 1.47986I
−0.26000 + 5.08901I −0.55328 − 3.56824I
u = −1.167220 + 0.394638I
a = 0.929843 + 0.663040I
b = −0.747986 + 0.442209I
9.47349 − 5.89379I 0
u = −1.167220 − 0.394638I
a = 0.929843 − 0.663040I
b = −0.747986 − 0.442209I
9.47349 + 5.89379I 0
u = −0.466833 + 1.152340I
a = 0.16664 + 2.01458I
b = 0.20934 + 1.45400I
−8.92272 + 5.97813I 0
u = −0.466833 − 1.152340I
a = 0.16664 − 2.01458I
b = 0.20934 − 1.45400I
−8.92272 − 5.97813I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.975840 + 0.821780I
a = 0.97284 + 2.27758I
b = −0.069377 + 1.308370I
5.21318 − 3.15719I 0
u = −0.975840 − 0.821780I
a = 0.97284 − 2.27758I
b = −0.069377 − 1.308370I
5.21318 + 3.15719I 0
u = 1.194580 + 0.481018I
a = 1.71374 − 1.16758I
b = −0.28135 − 1.51574I
3.07744 + 9.68491I 0
u = 1.194580 − 0.481018I
a = 1.71374 + 1.16758I
b = −0.28135 + 1.51574I
3.07744 − 9.68491I 0
u = −1.228300 + 0.398830I
a = −0.413599 − 0.569071I
b = −0.225505 − 1.343420I
3.60602 + 0.77733I 0
u = −1.228300 − 0.398830I
a = −0.413599 + 0.569071I
b = −0.225505 + 1.343420I
3.60602 − 0.77733I 0
u = −1.209680 + 0.504015I
a = −1.48165 − 0.97700I
b = 0.20369 − 1.41076I
−2.09618 − 6.64117I 0
u = −1.209680 − 0.504015I
a = −1.48165 + 0.97700I
b = 0.20369 + 1.41076I
−2.09618 + 6.64117I 0
u = 1.285130 + 0.289960I
a = −0.155336 + 0.482884I
b = 0.817856 − 0.026014I
7.51555 − 2.97756I 0
u = 1.285130 − 0.289960I
a = −0.155336 − 0.482884I
b = 0.817856 + 0.026014I
7.51555 + 2.97756I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.181230 + 0.593275I
a = 0.92384 − 1.23266I
b = −0.285366 − 1.285050I
−1.75785 + 3.90884I 0
u = 1.181230 − 0.593275I
a = 0.92384 + 1.23266I
b = −0.285366 + 1.285050I
−1.75785 − 3.90884I 0
u = 1.307670 + 0.198580I
a = 0.268050 − 0.667472I
b = −0.109734 − 1.163540I
−0.69842 + 2.74484I 0
u = 1.307670 − 0.198580I
a = 0.268050 + 0.667472I
b = −0.109734 + 1.163540I
−0.69842 − 2.74484I 0
u = −1.214220 + 0.546616I
a = −0.383948 − 0.819267I
b = 1.025080 − 0.443897I
5.80203 − 12.37070I 0
u = −1.214220 − 0.546616I
a = −0.383948 + 0.819267I
b = 1.025080 + 0.443897I
5.80203 + 12.37070I 0
u = 1.212590 + 0.561823I
a = 0.445795 − 0.745015I
b = −0.800033 − 0.503774I
0.11561 + 8.62374I 0
u = 1.212590 − 0.561823I
a = 0.445795 + 0.745015I
b = −0.800033 + 0.503774I
0.11561 − 8.62374I 0
u = −1.192060 + 0.605034I
a = −0.416600 − 0.574954I
b = 0.446997 − 0.333198I
1.13170 − 4.19601I 0
u = −1.192060 − 0.605034I
a = −0.416600 + 0.574954I
b = 0.446997 + 0.333198I
1.13170 + 4.19601I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.700060 + 1.142770I
a = −0.29581 + 2.05476I
b = −0.109401 + 1.404370I
−6.51472 + 0.35305I 0
u = 0.700060 − 1.142770I
a = −0.29581 − 2.05476I
b = −0.109401 − 1.404370I
−6.51472 − 0.35305I 0
u = 0.032243 + 0.654206I
a = −0.038798 + 0.603960I
b = 0.620537 + 0.468341I
6.04660 + 2.07633I 3.96983 − 3.09128I
u = 0.032243 − 0.654206I
a = −0.038798 − 0.603960I
b = 0.620537 − 0.468341I
6.04660 − 2.07633I 3.96983 + 3.09128I
u = 1.254860 + 0.509749I
a = 1.33186 − 0.51982I
b = 0.003432 − 1.269670I
0.58269 + 4.34240I 0
u = 1.254860 − 0.509749I
a = 1.33186 + 0.51982I
b = 0.003432 + 1.269670I
0.58269 − 4.34240I 0
u = −1.243750 + 0.561674I
a = −0.798785 − 0.866669I
b = 0.443782 − 1.236210I
0.34900 − 6.05121I 0
u = −1.243750 − 0.561674I
a = −0.798785 + 0.866669I
b = 0.443782 + 1.236210I
0.34900 + 6.05121I 0
u = 0.436977 + 1.307650I
a = 0.15945 − 1.70010I
b = −0.011076 − 1.259460I
−4.59741 + 2.49863I 0
u = 0.436977 − 1.307650I
a = 0.15945 + 1.70010I
b = −0.011076 + 1.259460I
−4.59741 − 2.49863I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.238700 + 0.660923I
a = −1.30083 + 1.50011I
b = 0.38454 + 1.53010I
−0.5204 + 17.4421I 0
u = 1.238700 − 0.660923I
a = −1.30083 − 1.50011I
b = 0.38454 − 1.53010I
−0.5204 − 17.4421I 0
u = −1.23429 + 0.70685I
a = 1.22406 + 1.55908I
b = −0.28898 + 1.51240I
−6.39420 − 12.58890I 0
u = −1.23429 − 0.70685I
a = 1.22406 − 1.55908I
b = −0.28898 − 1.51240I
−6.39420 + 12.58890I 0
u = 1.19259 + 0.78163I
a = −1.11483 + 1.71185I
b = 0.18816 + 1.45245I
−4.74296 + 6.63857I 0
u = 1.19259 − 0.78163I
a = −1.11483 − 1.71185I
b = 0.18816 − 1.45245I
−4.74296 − 6.63857I 0
u = −1.44608 + 0.04719I
a = −0.040649 + 0.579125I
b = 0.310468 + 1.259740I
3.55451 + 7.02330I 0
u = −1.44608 − 0.04719I
a = −0.040649 − 0.579125I
b = 0.310468 − 1.259740I
3.55451 − 7.02330I 0
u = 0.544648
a = 3.13511
b = 0.0839524
−2.34897 −12.1390
u = −0.522628 + 0.036645I
a = −3.48709 + 1.23436I
b = −0.274730 + 0.389014I
1.82569 + 2.13131I −3.73393 − 2.73945I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.522628 − 0.036645I
a = −3.48709 − 1.23436I
b = −0.274730 − 0.389014I
1.82569 − 2.13131I −3.73393 + 2.73945I
u = 0.458561 + 0.199663I
a = 1.89029 − 0.91206I
b = −0.887085 + 0.269303I
1.66369 + 2.35488I −1.50437 − 3.62088I
u = 0.458561 − 0.199663I
a = 1.89029 + 0.91206I
b = −0.887085 − 0.269303I
1.66369 − 2.35488I −1.50437 + 3.62088I
u = −0.380749
a = −3.02874
b = 0.700945
−2.45714 −8.71150
u = −0.052076 + 0.343747I
a = 0.496752 − 0.041911I
b = −0.222626 + 0.347090I
0.037435 − 0.848313I 0.96305 + 8.00099I
u = −0.052076 − 0.343747I
a = 0.496752 + 0.041911I
b = −0.222626 − 0.347090I
0.037435 + 0.848313I 0.96305 − 8.00099I
u = 0.008819 + 0.291878I
a = 0.60611 − 4.57498I
b = −0.632156 − 0.577055I
1.77699 − 2.25358I −1.51427 + 1.55993I
u = 0.008819 − 0.291878I
a = 0.60611 + 4.57498I
b = −0.632156 + 0.577055I
1.77699 + 2.25358I −1.51427 − 1.55993I
u = −0.0979899
a = −11.6726
b = 0.516660
−2.46988 −6.41050
15
II.
I
u
2
= h−6.19 × 10
7
u
26
− 3.75 × 10
7
u
25
+ · · · + 2.43 × 10
5
b − 1.02 × 10
8
, −1.22 ×
10
8
u
26
−7.52×10
7
u
25
+· · ·+2.43×10
5
a−1.93×10
8
, u
27
−6u
25
+· · ·+9u
2
−1i
(i) Arc colorings
a
6
=
0
u
a
10
=
1
0
a
11
=
1
−u
2
a
4
=
502.871u
26
+ 310.193u
25
+ ··· + 1282.56u + 796.873
255.257u
26
+ 154.710u
25
+ ··· + 687.396u + 421.980
a
7
=
u
−u
3
+ u
a
3
=
247.614u
26
+ 155.483u
25
+ ··· + 595.162u + 374.893
255.257u
26
+ 154.710u
25
+ ··· + 687.396u + 421.980
a
12
=
842.482u
26
+ 517.869u
25
+ ··· + 2273.29u + 1384.54
66.0914u
26
+ 34.3579u
25
+ ··· + 203.570u + 110.942
a
2
=
281.972u
26
+ 174.816u
25
+ ··· + 705.104u + 439.984
279.476u
26
+ 168.986u
25
+ ··· + 762.980u + 467.738
a
5
=
−405.984u
26
− 244.608u
25
+ ··· − 1085.38u − 666.588
−255.257u
26
− 155.710u
25
+ ··· − 688.396u − 422.980
a
1
=
−406.984u
26
− 251.608u
25
+ ··· − 1095.38u − 674.588
210.506u
26
+ 134.453u
25
+ ··· + 542.843u + 340.752
a
9
=
−468.738u
26
− 279.476u
25
+ ··· − 1279.42u − 763.980
174.816u
26
+ 112.438u
25
+ ··· + 439.984u + 280.972
a
8
=
−527.422u
26
− 334.894u
25
+ ··· − 1367.67u − 862.920
−464.333u
26
− 281.414u
25
+ ··· − 1249.38u − 757.932
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
103270119
242539
u
26
−
56211541
242539
u
25
+ ··· −
293238618
242539
u −
163845610
242539
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
27
+ 5u
26
+ ··· − 5u − 1
c
2
u
27
− 6u
24
+ ··· − 3u − 1
c
3
, c
4
u
27
+ 16u
25
+ ··· − 15u
2
− 1
c
5
u
27
− 5u
26
+ ··· − 5u + 1
c
6
u
27
− 6u
25
+ ··· − 9u
2
+ 1
c
7
, c
8
u
27
+ u
26
+ ··· − 6u
2
− 1
c
9
u
27
+ 16u
25
+ ··· + 15u
2
+ 1
c
10
u
27
− 6u
25
+ ··· + 9u
2
− 1
c
11
u
27
− 6u
24
+ ··· − 6u − 1
c
12
u
27
− u
26
+ ··· + 6u
2
+ 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
27
− 27y
26
+ ··· + 21y −1
c
2
y
27
− 14y
25
+ ··· + 9y −1
c
3
, c
4
, c
9
y
27
+ 32y
26
+ ··· − 30y −1
c
6
, c
10
y
27
− 12y
26
+ ··· + 18y −1
c
7
, c
8
, c
12
y
27
+ 31y
26
+ ··· − 12y −1
c
11
y
27
− 4y
25
+ ··· − 36y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.942324 + 0.463381I
a = 0.365787 + 0.451255I
b = −0.183259 − 0.689497I
8.02900 − 1.92739I −3.77286 + 4.58368I
u = −0.942324 − 0.463381I
a = 0.365787 − 0.451255I
b = −0.183259 + 0.689497I
8.02900 + 1.92739I −3.77286 − 4.58368I
u = 0.483141 + 0.943254I
a = 0.376266 − 0.450412I
b = 0.009550 − 0.292659I
−1.47227 + 2.03572I −6.10233 − 10.39234I
u = 0.483141 − 0.943254I
a = 0.376266 + 0.450412I
b = 0.009550 + 0.292659I
−1.47227 − 2.03572I −6.10233 + 10.39234I
u = 0.898205 + 0.275115I
a = −1.98861 + 1.65479I
b = 0.04853 + 1.71995I
−5.68655 + 1.20145I 6.29164 + 1.68837I
u = 0.898205 − 0.275115I
a = −1.98861 − 1.65479I
b = 0.04853 − 1.71995I
−5.68655 − 1.20145I 6.29164 − 1.68837I
u = −0.672337 + 0.556616I
a = 1.29098 + 2.20712I
b = −0.02269 + 1.57539I
−8.12915 − 2.15451I −6.76559 + 3.24060I
u = −0.672337 − 0.556616I
a = 1.29098 − 2.20712I
b = −0.02269 − 1.57539I
−8.12915 + 2.15451I −6.76559 − 3.24060I
u = −1.112550 + 0.271059I
a = −0.109709 − 0.713334I
b = −0.620837 − 0.565124I
4.03441 − 3.52253I 4.01236 + 2.14707I
u = −1.112550 − 0.271059I
a = −0.109709 + 0.713334I
b = −0.620837 + 0.565124I
4.03441 + 3.52253I 4.01236 − 2.14707I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.085270 + 0.406721I
a = −0.111058 − 0.295568I
b = 0.399468 − 0.566662I
0.80288 + 2.52939I 2.33628 − 1.94804I
u = 1.085270 − 0.406721I
a = −0.111058 + 0.295568I
b = 0.399468 + 0.566662I
0.80288 − 2.52939I 2.33628 + 1.94804I
u = −0.778831 + 0.117790I
a = −2.30422 + 0.30022I
b = 0.673811 − 0.291893I
2.51885 + 1.83267I 7.19651 + 1.63578I
u = −0.778831 − 0.117790I
a = −2.30422 − 0.30022I
b = 0.673811 + 0.291893I
2.51885 − 1.83267I 7.19651 − 1.63578I
u = 0.996298 + 0.754662I
a = 1.01816 − 2.00934I
b = −0.098699 − 1.182820I
6.15838 + 2.98788I 4.89288 − 2.63147I
u = 0.996298 − 0.754662I
a = 1.01816 + 2.00934I
b = −0.098699 + 1.182820I
6.15838 − 2.98788I 4.89288 + 2.63147I
u = 0.676875
a = 2.33452
b = −0.544077
−1.92500 9.44010
u = 1.292180 + 0.387849I
a = 0.762601 − 0.366330I
b = −0.306155 − 1.266240I
1.40790 + 6.90774I 1.74233 − 7.65334I
u = 1.292180 − 0.387849I
a = 0.762601 + 0.366330I
b = −0.306155 + 1.266240I
1.40790 − 6.90774I 1.74233 + 7.65334I
u = −0.507947 + 0.373441I
a = 1.68384 + 2.65266I
b = −0.06472 + 1.54270I
−8.13679 − 2.20134I −5.48394 + 1.97403I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.507947 − 0.373441I
a = 1.68384 − 2.65266I
b = −0.06472 − 1.54270I
−8.13679 + 2.20134I −5.48394 − 1.97403I
u = −0.422372 + 1.311780I
a = −0.01586 − 1.63655I
b = 0.017423 − 1.269410I
−4.78882 − 2.16961I −9.61126 − 4.65741I
u = −0.422372 − 1.311780I
a = −0.01586 + 1.63655I
b = 0.017423 + 1.269410I
−4.78882 + 2.16961I −9.61126 + 4.65741I
u = 0.613246 + 0.007226I
a = −2.22691 − 2.13036I
b = 0.22560 − 1.46124I
−1.97305 − 5.13924I 1.04904 + 3.19072I
u = 0.613246 − 0.007226I
a = −2.22691 + 2.13036I
b = 0.22560 + 1.46124I
−1.97305 + 5.13924I 1.04904 − 3.19072I
u = −1.27042 + 0.63032I
a = −0.908529 − 1.032590I
b = 0.194013 − 1.234630I
−1.67190 − 4.71459I −3.50510 + 6.77029I
u = −1.27042 − 0.63032I
a = −0.908529 + 1.032590I
b = 0.194013 + 1.234630I
−1.67190 + 4.71459I −3.50510 − 6.77029I
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
27
+ 5u
26
+ ··· − 5u − 1)(u
109
− 37u
107
+ ··· + 59522u + 7979)
c
2
(u
27
− 6u
24
+ ··· − 3u − 1)(u
109
− u
108
+ ··· + 8276u + 1297)
c
3
, c
4
(u
27
+ 16u
25
+ ··· − 15u
2
− 1)(u
109
+ u
108
+ ··· + 256u + 32)
c
5
(u
27
− 5u
26
+ ··· − 5u + 1)(u
109
− 37u
107
+ ··· + 59522u + 7979)
c
6
(u
27
− 6u
25
+ ··· − 9u
2
+ 1)(u
109
+ u
108
+ ··· − 11u + 1)
c
7
, c
8
(u
27
+ u
26
+ ··· − 6u
2
− 1)(u
109
+ 2u
108
+ ··· − 1969u − 419)
c
9
(u
27
+ 16u
25
+ ··· + 15u
2
+ 1)(u
109
+ u
108
+ ··· + 256u + 32)
c
10
(u
27
− 6u
25
+ ··· + 9u
2
− 1)(u
109
+ u
108
+ ··· − 11u + 1)
c
11
(u
27
− 6u
24
+ ··· − 6u − 1)(u
109
− 7u
108
+ ··· + 35263u + 3563)
c
12
(u
27
− u
26
+ ··· + 6u
2
+ 1)(u
109
+ 2u
108
+ ··· − 1969u − 419)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
27
− 27y
26
+ ··· + 21y −1)
· (y
109
− 74y
108
+ ··· + 1156541080y −63664441)
c
2
(y
27
− 14y
25
+ ··· + 9y −1)
· (y
109
+ 13y
108
+ ··· − 254211800y −1682209)
c
3
, c
4
, c
9
(y
27
+ 32y
26
+ ··· − 30y −1)(y
109
+ 109y
108
+ ··· + 137216y −1024)
c
6
, c
10
(y
27
− 12y
26
+ ··· + 18y −1)(y
109
− 55y
108
+ ··· + 109y −1)
c
7
, c
8
, c
12
(y
27
+ 31y
26
+ ··· − 12y −1)
· (y
109
+ 104y
108
+ ··· + 3301255y −175561)
c
11
(y
27
− 4y
25
+ ··· − 36y −1)
· (y
109
− 7y
108
+ ··· + 969448839y −12694969)
23
