12a
0660
(K12a
0660
)
A knot diagram
1
Linearized knot diagam
3 7 10 12 9 2 11 5 6 1 8 4
Solving Sequence
2,6
7
3,10
4 1 11 9 5 8 12
c
6
c
2
c
3
c
1
c
10
c
9
c
5
c
8
c
12
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h8.15678 × 10
158
u
106
+ 3.46027 × 10
159
u
105
+ ··· + 1.38526 × 10
159
b − 1.85181 × 10
159
,
8.94370 × 10
158
u
106
+ 2.49875 × 10
159
u
105
+ ··· + 1.38526 × 10
159
a − 5.17367 × 10
158
, u
107
+ 3u
106
+ ··· − u + 1i
I
u
2
= h−334u
25
+ 695u
24
+ ··· + 299b + 422, −1077u
25
+ 1225u
24
+ ··· + 299a − 478,
u
26
− 7u
24
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 133 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
= h8.16 × 10
158
u
106
+ 3.46 × 10
159
u
105
+ · · · + 1.39 × 10
159
b − 1.85 ×
10
159
, 8.94 × 10
158
u
106
+ 2.50 × 10
159
u
105
+ · · · + 1.39 × 10
159
a − 5.17 ×
10
158
, u
107
+ 3u
106
+ · · · − u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
−0.645634u
106
− 1.80382u
105
+ ··· + 0.670204u + 0.373480
−0.588827u
106
− 2.49792u
105
+ ··· + 3.21354u + 1.33680
a
4
=
0.502479u
106
+ 2.01864u
105
+ ··· − 10.0754u + 2.39998
0.0132447u
106
− 0.404849u
105
+ ··· + 3.43356u + 0.0731468
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
−0.676399u
106
− 1.47429u
105
+ ··· + 0.764777u + 0.210767
−0.903755u
106
− 2.97696u
105
+ ··· + 3.70148u + 0.712057
a
9
=
−1.23446u
106
− 4.30174u
105
+ ··· + 3.88374u + 1.71028
−0.588827u
106
− 2.49792u
105
+ ··· + 3.21354u + 1.33680
a
5
=
−1.74790u
106
− 3.18997u
105
+ ··· + 0.252284u + 1.44174
−1.10312u
106
− 3.32060u
105
+ ··· + 3.24796u + 0.488580
a
8
=
0.623400u
106
+ 1.53441u
105
+ ··· + 3.10548u + 0.978324
0.207767u
106
+ 1.77731u
105
+ ··· − 0.844158u − 1.08994
a
12
=
3.48966u
106
+ 10.9581u
105
+ ··· − 1.32391u − 0.827989
−0.527015u
106
+ 0.370912u
105
+ ··· + 3.18338u − 2.35468
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.99910u
106
+ 5.78442u
105
+ ··· − 1.90938u − 13.0241
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
107
+ 51u
106
+ ··· + 27u + 1
c
2
, c
6
u
107
− 3u
106
+ ··· − u − 1
c
3
u
107
+ 2u
106
+ ··· + 55540u + 8117
c
4
, c
12
u
107
+ 6u
106
+ ··· + 63u + 1
c
5
, c
8
, c
9
u
107
+ 3u
106
+ ··· + 3214u − 319
c
7
, c
11
u
107
− 3u
106
+ ··· − 20005u − 18299
c
10
u
107
− 13u
106
+ ··· + 650u − 113
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
107
+ 25y
106
+ ··· − 85y −1
c
2
, c
6
y
107
− 51y
106
+ ··· + 27y −1
c
3
y
107
− 22y
106
+ ··· + 3840497938y −65885689
c
4
, c
12
y
107
+ 102y
106
+ ··· + 679y −1
c
5
, c
8
, c
9
y
107
− 119y
106
+ ··· + 4129712y −101761
c
7
, c
11
y
107
− 101y
106
+ ··· + 8587611801y −334853401
c
10
y
107
− 19y
106
+ ··· + 1683354y −12769
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.961830 + 0.332422I
a = −0.95342 − 1.48514I
b = −0.213133 + 0.493321I
−3.29063 + 1.20407I 0
u = −0.961830 − 0.332422I
a = −0.95342 + 1.48514I
b = −0.213133 − 0.493321I
−3.29063 − 1.20407I 0
u = 0.958742 + 0.341227I
a = −1.08709 + 2.34096I
b = −0.217132 + 0.274273I
−7.34857 − 1.24944I 0
u = 0.958742 − 0.341227I
a = −1.08709 − 2.34096I
b = −0.217132 − 0.274273I
−7.34857 + 1.24944I 0
u = −0.369587 + 0.955253I
a = 0.870511 + 0.620617I
b = −1.61405 − 0.28862I
−12.0819 − 11.6140I 0
u = −0.369587 − 0.955253I
a = 0.870511 − 0.620617I
b = −1.61405 + 0.28862I
−12.0819 + 11.6140I 0
u = −0.499372 + 0.834983I
a = −1.168340 + 0.353127I
b = 1.47972 + 0.06590I
−6.32317 + 1.20142I 0
u = −0.499372 − 0.834983I
a = −1.168340 − 0.353127I
b = 1.47972 − 0.06590I
−6.32317 − 1.20142I 0
u = −0.946435 + 0.223421I
a = 0.538397 − 0.647153I
b = 0.705787 + 0.351906I
−3.77086 − 1.62099I 0
u = −0.946435 − 0.223421I
a = 0.538397 + 0.647153I
b = 0.705787 − 0.351906I
−3.77086 + 1.62099I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.847260 + 0.476918I
a = −0.344512 + 0.224684I
b = 0.745400 − 0.353078I
−0.307193 − 0.490634I 0
u = 0.847260 − 0.476918I
a = −0.344512 − 0.224684I
b = 0.745400 + 0.353078I
−0.307193 + 0.490634I 0
u = 0.798708 + 0.542944I
a = −0.14181 + 1.61061I
b = −0.991529 − 0.249020I
−0.18748 − 3.71647I 0
u = 0.798708 − 0.542944I
a = −0.14181 − 1.61061I
b = −0.991529 + 0.249020I
−0.18748 + 3.71647I 0
u = 0.998931 + 0.309324I
a = −1.28251 + 1.21264I
b = −0.254601 − 1.213830I
−7.79059 − 0.96657I 0
u = 0.998931 − 0.309324I
a = −1.28251 − 1.21264I
b = −0.254601 + 1.213830I
−7.79059 + 0.96657I 0
u = 0.413338 + 0.837059I
a = −0.713227 + 1.169820I
b = 0.677392 − 0.896334I
−4.53636 + 7.22884I 0
u = 0.413338 − 0.837059I
a = −0.713227 − 1.169820I
b = 0.677392 + 0.896334I
−4.53636 − 7.22884I 0
u = 0.975496 + 0.451189I
a = 0.195028 − 0.866105I
b = 0.265652 + 0.588887I
−2.30476 − 1.54496I 0
u = 0.975496 − 0.451189I
a = 0.195028 + 0.866105I
b = 0.265652 − 0.588887I
−2.30476 + 1.54496I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.355666 + 0.853164I
a = −0.200155 − 0.729502I
b = 0.362854 + 0.444344I
0.88775 − 3.04504I 0
u = −0.355666 − 0.853164I
a = −0.200155 + 0.729502I
b = 0.362854 − 0.444344I
0.88775 + 3.04504I 0
u = −0.983341 + 0.443642I
a = −0.656672 − 0.590776I
b = 0.763728 + 0.511598I
−2.44654 + 4.26744I 0
u = −0.983341 − 0.443642I
a = −0.656672 + 0.590776I
b = 0.763728 − 0.511598I
−2.44654 − 4.26744I 0
u = −0.467684 + 0.792634I
a = −1.24282 − 0.75290I
b = 1.51899 + 0.09496I
−6.46974 − 4.55544I 0
u = −0.467684 − 0.792634I
a = −1.24282 + 0.75290I
b = 1.51899 − 0.09496I
−6.46974 + 4.55544I 0
u = 1.082590 + 0.029157I
a = −0.991798 + 0.623311I
b = −1.62910 − 0.03464I
−11.97000 − 2.95811I 0
u = 1.082590 − 0.029157I
a = −0.991798 − 0.623311I
b = −1.62910 + 0.03464I
−11.97000 + 2.95811I 0
u = 0.401674 + 0.819898I
a = −0.755345 + 0.515225I
b = 1.271110 − 0.201930I
−1.60802 + 2.19584I 0
u = 0.401674 − 0.819898I
a = −0.755345 − 0.515225I
b = 1.271110 + 0.201930I
−1.60802 − 2.19584I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.646248 + 0.881601I
a = −0.254328 − 0.603168I
b = 0.348185 + 0.570605I
−3.33409 − 3.47498I 0
u = 0.646248 − 0.881601I
a = −0.254328 + 0.603168I
b = 0.348185 − 0.570605I
−3.33409 + 3.47498I 0
u = 0.261399 + 1.062550I
a = 0.487280 − 0.288942I
b = −1.50275 + 0.10870I
−5.36658 + 4.88981I 0
u = 0.261399 − 1.062550I
a = 0.487280 + 0.288942I
b = −1.50275 − 0.10870I
−5.36658 − 4.88981I 0
u = 1.023000 + 0.428534I
a = 2.53956 − 0.97539I
b = 1.59921 + 0.09408I
−13.7231 − 6.2790I 0
u = 1.023000 − 0.428534I
a = 2.53956 + 0.97539I
b = 1.59921 − 0.09408I
−13.7231 + 6.2790I 0
u = −0.589912 + 0.656621I
a = 0.437981 + 1.143260I
b = −0.087007 − 0.593363I
2.54220 + 0.64997I 0
u = −0.589912 − 0.656621I
a = 0.437981 − 1.143260I
b = −0.087007 + 0.593363I
2.54220 − 0.64997I 0
u = −1.043800 + 0.426405I
a = 1.20392 + 0.88892I
b = 1.60785 + 0.07237I
−9.62067 + 2.93444I 0
u = −1.043800 − 0.426405I
a = 1.20392 − 0.88892I
b = 1.60785 − 0.07237I
−9.62067 − 2.93444I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.12940
a = −1.00887
b = −1.42458
−7.23387 0
u = −1.035950 + 0.471098I
a = 0.99679 + 3.24691I
b = 1.50492 + 0.07277I
−13.41210 + 0.09296I 0
u = −1.035950 − 0.471098I
a = 0.99679 − 3.24691I
b = 1.50492 − 0.07277I
−13.41210 − 0.09296I 0
u = 1.059380 + 0.421034I
a = 0.192519 − 0.909579I
b = 1.79206 − 0.30617I
−14.4279 + 0.5275I 0
u = 1.059380 − 0.421034I
a = 0.192519 + 0.909579I
b = 1.79206 + 0.30617I
−14.4279 − 0.5275I 0
u = 1.053830 + 0.463544I
a = 0.59344 − 2.50820I
b = 1.51988 + 0.16655I
−9.35195 − 3.71564I 0
u = 1.053830 − 0.463544I
a = 0.59344 + 2.50820I
b = 1.51988 − 0.16655I
−9.35195 + 3.71564I 0
u = −1.027130 + 0.527139I
a = −1.39492 − 0.38480I
b = −0.661152 + 0.306944I
−5.95960 + 4.75876I 0
u = −1.027130 − 0.527139I
a = −1.39492 + 0.38480I
b = −0.661152 − 0.306944I
−5.95960 − 4.75876I 0
u = −1.001470 + 0.576910I
a = 0.512781 + 1.161960I
b = 0.239029 − 0.663644I
1.30721 + 4.16361I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.001470 − 0.576910I
a = 0.512781 − 1.161960I
b = 0.239029 + 0.663644I
1.30721 − 4.16361I 0
u = −1.069050 + 0.460268I
a = 0.32136 + 2.22693I
b = 1.67047 − 0.46711I
−14.1458 + 7.4015I 0
u = −1.069050 − 0.460268I
a = 0.32136 − 2.22693I
b = 1.67047 + 0.46711I
−14.1458 − 7.4015I 0
u = −0.752673 + 0.357367I
a = −0.82907 − 2.31432I
b = −0.962388 + 0.289012I
−1.52828 − 0.85653I −15.4191 − 2.9581I
u = −0.752673 − 0.357367I
a = −0.82907 + 2.31432I
b = −0.962388 − 0.289012I
−1.52828 + 0.85653I −15.4191 + 2.9581I
u = 1.035010 + 0.557185I
a = 0.160485 − 0.131907I
b = −0.630787 + 0.508665I
−1.66121 − 4.79673I 0
u = 1.035010 − 0.557185I
a = 0.160485 + 0.131907I
b = −0.630787 − 0.508665I
−1.66121 + 4.79673I 0
u = −1.178020 + 0.076352I
a = −0.015667 − 0.228494I
b = −0.811495 − 0.658408I
−10.09900 − 4.81161I 0
u = −1.178020 − 0.076352I
a = −0.015667 + 0.228494I
b = −0.811495 + 0.658408I
−10.09900 + 4.81161I 0
u = 0.544622 + 0.609128I
a = 0.012491 − 0.923495I
b = 0.734322 + 0.303158I
−0.166974 + 0.153852I −8.00000 + 2.06306I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.544622 − 0.609128I
a = 0.012491 + 0.923495I
b = 0.734322 − 0.303158I
−0.166974 − 0.153852I −8.00000 − 2.06306I
u = 1.042950 + 0.564382I
a = 0.30084 − 1.66219I
b = 0.444295 + 0.476539I
−1.60574 − 7.73159I 0
u = 1.042950 − 0.564382I
a = 0.30084 + 1.66219I
b = 0.444295 − 0.476539I
−1.60574 + 7.73159I 0
u = −1.063710 + 0.548200I
a = 0.932445 + 0.402901I
b = −0.650175 − 1.199090I
−6.09234 + 5.54333I 0
u = −1.063710 − 0.548200I
a = 0.932445 − 0.402901I
b = −0.650175 + 1.199090I
−6.09234 − 5.54333I 0
u = 0.482974 + 0.625314I
a = 0.80091 − 1.39267I
b = −0.390008 + 0.344012I
0.02557 + 3.02324I −6.28635 − 4.37518I
u = 0.482974 − 0.625314I
a = 0.80091 + 1.39267I
b = −0.390008 − 0.344012I
0.02557 − 3.02324I −6.28635 + 4.37518I
u = −0.428679 + 0.620294I
a = 0.26578 + 1.93424I
b = 0.638474 − 1.006270I
−4.25310 − 0.91402I −12.05109 + 0.86644I
u = −0.428679 − 0.620294I
a = 0.26578 − 1.93424I
b = 0.638474 + 1.006270I
−4.25310 + 0.91402I −12.05109 − 0.86644I
u = −1.086820 + 0.616697I
a = 0.05129 − 2.46156I
b = −1.53726 + 0.13189I
−8.32326 + 9.85252I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.086820 − 0.616697I
a = 0.05129 + 2.46156I
b = −1.53726 − 0.13189I
−8.32326 − 9.85252I 0
u = 1.110860 + 0.607119I
a = −0.29657 + 1.87350I
b = −1.359380 − 0.262195I
−3.71417 − 7.50040I 0
u = 1.110860 − 0.607119I
a = −0.29657 − 1.87350I
b = −1.359380 + 0.262195I
−3.71417 + 7.50040I 0
u = 1.120690 + 0.617015I
a = −0.70783 + 1.44475I
b = −0.757046 − 0.975658I
−6.6596 − 12.6316I 0
u = 1.120690 − 0.617015I
a = −0.70783 − 1.44475I
b = −0.757046 + 0.975658I
−6.6596 + 12.6316I 0
u = 1.27963
a = −0.0992902
b = −0.553045
−5.05733 0
u = 0.701738 + 0.120348I
a = −1.46299 − 1.49108I
b = −1.64323 + 0.14164I
−12.19130 + 3.25713I −15.3274 − 4.1847I
u = 0.701738 − 0.120348I
a = −1.46299 + 1.49108I
b = −1.64323 − 0.14164I
−12.19130 − 3.25713I −15.3274 + 4.1847I
u = −1.134770 + 0.612321I
a = −0.447512 − 1.033430I
b = −0.511287 + 0.526545I
−1.41429 + 8.44777I 0
u = −1.134770 − 0.612321I
a = −0.447512 + 1.033430I
b = −0.511287 − 0.526545I
−1.41429 − 8.44777I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.126400 + 0.645504I
a = 0.002752 − 1.350330I
b = −1.49779 + 0.18754I
−8.21556 + 4.40368I 0
u = −1.126400 − 0.645504I
a = 0.002752 + 1.350330I
b = −1.49779 − 0.18754I
−8.21556 − 4.40368I 0
u = −0.420939 + 0.556724I
a = 0.750965 − 0.613422I
b = 0.658200 + 0.559164I
−4.26943 − 0.42399I −12.37722 + 1.41628I
u = −0.420939 − 0.556724I
a = 0.750965 + 0.613422I
b = 0.658200 − 0.559164I
−4.26943 + 0.42399I −12.37722 − 1.41628I
u = −0.662497
a = −1.19741
b = −1.55444
−7.71707 −7.81120
u = −1.178940 + 0.641156I
a = 0.34912 + 1.97318I
b = 1.64908 − 0.30821I
−14.5604 + 17.4121I 0
u = −1.178940 − 0.641156I
a = 0.34912 − 1.97318I
b = 1.64908 + 0.30821I
−14.5604 − 17.4121I 0
u = 1.342830 + 0.113004I
a = 0.901474 − 0.035474I
b = 1.62538 − 0.20955I
−18.2104 + 8.1395I 0
u = 1.342830 − 0.113004I
a = 0.901474 + 0.035474I
b = 1.62538 + 0.20955I
−18.2104 − 8.1395I 0
u = 1.174610 + 0.718450I
a = 0.292584 + 0.406354I
b = −0.361205 + 0.204690I
−4.87840 − 2.84883I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.174610 − 0.718450I
a = 0.292584 − 0.406354I
b = −0.361205 − 0.204690I
−4.87840 + 2.84883I 0
u = 1.229600 + 0.634165I
a = 0.45790 − 1.57642I
b = 1.54743 + 0.15323I
−8.33840 − 10.88000I 0
u = 1.229600 − 0.634165I
a = 0.45790 + 1.57642I
b = 1.54743 − 0.15323I
−8.33840 + 10.88000I 0
u = −0.82387 + 1.16076I
a = 0.467673 − 0.513641I
b = −1.48599 + 0.13947I
−9.35763 + 5.83766I 0
u = −0.82387 − 1.16076I
a = 0.467673 + 0.513641I
b = −1.48599 − 0.13947I
−9.35763 − 5.83766I 0
u = −0.456936 + 0.297374I
a = 1.94886 + 2.09058I
b = −1.49236 + 0.19573I
−11.67510 + 3.61819I −15.3245 − 2.0364I
u = −0.456936 − 0.297374I
a = 1.94886 − 2.09058I
b = −1.49236 − 0.19573I
−11.67510 − 3.61819I −15.3245 + 2.0364I
u = 0.275947 + 0.468834I
a = 1.49462 + 0.22906I
b = −0.306062 + 0.073717I
−0.41942 − 1.87061I −2.28257 + 2.16523I
u = 0.275947 − 0.468834I
a = 1.49462 − 0.22906I
b = −0.306062 − 0.073717I
−0.41942 + 1.87061I −2.28257 − 2.16523I
u = −1.55845
a = 0.737300
b = 1.54505
−12.1521 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.35218 + 0.78104I
a = 0.117163 + 0.891623I
b = 1.51892 + 0.04503I
−11.35640 + 2.05729I 0
u = −1.35218 − 0.78104I
a = 0.117163 − 0.891623I
b = 1.51892 − 0.04503I
−11.35640 − 2.05729I 0
u = 0.302311 + 0.264665I
a = 2.48177 − 1.20861I
b = −1.47079 + 0.04091I
−7.33661 + 0.04340I −11.42829 + 0.98615I
u = 0.302311 − 0.264665I
a = 2.48177 + 1.20861I
b = −1.47079 − 0.04091I
−7.33661 − 0.04340I −11.42829 − 0.98615I
u = −0.177377 + 0.359865I
a = 3.30258 + 0.98833I
b = −1.59367 − 0.30072I
−11.89520 − 3.67260I −13.94110 + 2.10078I
u = −0.177377 − 0.359865I
a = 3.30258 − 0.98833I
b = −1.59367 + 0.30072I
−11.89520 + 3.67260I −13.94110 − 2.10078I
u = 0.366309
a = 0.499006
b = 0.473068
−0.723312 −13.3650
15
II. I
u
2
= h−334u
25
+ 695u
24
+ · · · + 299b + 422, −1077u
25
+ 1225u
24
+ · · · +
299a − 478, u
26
− 7u
24
+ · · · + 2u + 1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
7
=
1
u
2
a
3
=
−u
−u
3
+ u
a
10
=
3.60201u
25
− 4.09699u
24
+ ··· + 4.92977u + 1.59866
1.11706u
25
− 2.32441u
24
+ ··· − 1.09699u − 1.41137
a
4
=
−8.30435u
25
+ 6.04348u
24
+ ··· − 13.3478u − 13.1304
−0.297659u
25
+ 1.05351u
24
+ ··· − 2.58194u − 0.468227
a
1
=
u
3
u
5
− u
3
+ u
a
11
=
4.48161u
25
− 6.27759u
24
+ ··· + 7.14381u + 2.67893
1.91304u
25
− 3.13043u
24
+ ··· + 1.04348u + 0.391304
a
9
=
4.71906u
25
− 6.42140u
24
+ ··· + 3.83278u + 0.187291
1.11706u
25
− 2.32441u
24
+ ··· − 1.09699u − 1.41137
a
5
=
−3.48161u
25
+ 5.27759u
24
+ ··· − 6.14381u − 1.67893
−5.17057u
25
+ 5.24415u
24
+ ··· − 7.03010u − 6.88629
a
8
=
−3.51171u
25
+ 6.73244u
24
+ ··· − 4.09030u + 0.341137
−1.11706u
25
+ 2.32441u
24
+ ··· + 2.09699u + 3.41137
a
12
=
−7.14716u
25
+ 9.77926u
24
+ ··· − 1.84950u − 1.56856
1.95318u
25
− 1.07023u
24
+ ··· + 2.63880u + 3.36455
(ii) Obstruction class = 1
(iii) Cusp Shapes =
165
299
u
25
+
995
299
u
24
+ ··· −
2785
299
u −
6987
299
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
26
− 14u
25
+ ··· − 10u + 1
c
2
u
26
− 7u
24
+ ··· − 2u + 1
c
3
u
26
− u
25
+ ··· + 5u + 1
c
4
u
26
+ u
25
+ ··· − 2u − 1
c
5
u
26
+ 2u
25
+ ··· + 3u + 1
c
6
u
26
− 7u
24
+ ··· + 2u + 1
c
7
u
26
+ 4u
25
+ ··· − 10u
2
+ 1
c
8
, c
9
u
26
− 2u
25
+ ··· − 3u + 1
c
10
u
26
− 4u
25
+ ··· + u + 1
c
11
u
26
− 4u
25
+ ··· − 10u
2
+ 1
c
12
u
26
− u
25
+ ··· + 2u − 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
26
+ 10y
25
+ ··· + 38y + 1
c
2
, c
6
y
26
− 14y
25
+ ··· − 10y + 1
c
3
y
26
− 5y
25
+ ··· − 9y + 1
c
4
, c
12
y
26
+ 27y
25
+ ··· − 2y + 1
c
5
, c
8
, c
9
y
26
− 30y
25
+ ··· − 3y + 1
c
7
, c
11
y
26
− 28y
25
+ ··· − 20y + 1
c
10
y
26
− 6y
25
+ ··· − 9y + 1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.891075 + 0.380566I
a = −1.70564 + 2.03339I
b = −0.052101 − 0.783689I
−6.52057 − 1.58619I −11.13878 + 4.70789I
u = 0.891075 − 0.380566I
a = −1.70564 − 2.03339I
b = −0.052101 + 0.783689I
−6.52057 + 1.58619I −11.13878 − 4.70789I
u = −0.972838 + 0.382323I
a = 1.95903 + 1.93712I
b = 1.64009 − 0.17783I
−13.09300 + 5.33772I −15.9075 − 3.0735I
u = −0.972838 − 0.382323I
a = 1.95903 − 1.93712I
b = 1.64009 + 0.17783I
−13.09300 − 5.33772I −15.9075 + 3.0735I
u = −1.026340 + 0.321789I
a = −0.525160 − 1.191030I
b = −0.265340 + 0.316771I
−3.72230 + 0.86010I −19.0329 + 0.9012I
u = −1.026340 − 0.321789I
a = −0.525160 + 1.191030I
b = −0.265340 − 0.316771I
−3.72230 − 0.86010I −19.0329 − 0.9012I
u = −0.313858 + 0.834147I
a = −0.599355 − 0.634863I
b = 1.164880 + 0.112105I
−2.33379 − 2.84492I −13.08240 + 4.43582I
u = −0.313858 − 0.834147I
a = −0.599355 + 0.634863I
b = 1.164880 − 0.112105I
−2.33379 + 2.84492I −13.08240 − 4.43582I
u = −0.824195 + 0.330430I
a = 0.204618 + 0.919108I
b = −1.61295 − 0.22747I
−12.48810 − 2.34513I −17.3401 − 2.9451I
u = −0.824195 − 0.330430I
a = 0.204618 − 0.919108I
b = −1.61295 + 0.22747I
−12.48810 + 2.34513I −17.3401 + 2.9451I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.852732
a = −0.0867455
b = −1.49266
−8.40870 −20.9900
u = 1.042500 + 0.521454I
a = 0.224651 − 0.424836I
b = −0.647137 + 0.434979I
−2.50208 − 5.68648I −14.8169 + 7.7156I
u = 1.042500 − 0.521454I
a = 0.224651 + 0.424836I
b = −0.647137 − 0.434979I
−2.50208 + 5.68648I −14.8169 − 7.7156I
u = 1.19669
a = −0.710915
b = −1.34206
−8.04833 −21.1050
u = −1.019820 + 0.702803I
a = 0.1291110 − 0.0109067I
b = −0.169283 − 0.489484I
−4.43083 + 3.01433I −10.68304 − 6.30341I
u = −1.019820 − 0.702803I
a = 0.1291110 + 0.0109067I
b = −0.169283 + 0.489484I
−4.43083 − 3.01433I −10.68304 + 6.30341I
u = −1.128990 + 0.591776I
a = −0.27915 − 1.85080I
b = −1.223780 + 0.214071I
−4.70056 + 8.07811I −15.9741 − 7.2885I
u = −1.128990 − 0.591776I
a = −0.27915 + 1.85080I
b = −1.223780 − 0.214071I
−4.70056 − 8.07811I −15.9741 + 7.2885I
u = 0.530807 + 0.455633I
a = 0.28846 − 1.86461I
b = 0.786418 + 0.292203I
−0.88641 + 1.48655I −9.46143 − 3.25797I
u = 0.530807 − 0.455633I
a = 0.28846 + 1.86461I
b = 0.786418 − 0.292203I
−0.88641 − 1.48655I −9.46143 + 3.25797I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.220580 + 0.530476I
a = 0.592322 − 1.173540I
b = 1.55624 − 0.04997I
−11.22610 − 1.27567I −16.6039 − 0.0782I
u = 1.220580 − 0.530476I
a = 0.592322 + 1.173540I
b = 1.55624 + 0.04997I
−11.22610 + 1.27567I −16.6039 + 0.0782I
u = 0.937979 + 0.953940I
a = 0.491337 + 0.666524I
b = −1.47254 − 0.15676I
−9.39283 − 5.41019I −18.4634 − 0.9639I
u = 0.937979 − 0.953940I
a = 0.491337 − 0.666524I
b = −1.47254 + 0.15676I
−9.39283 + 5.41019I −18.4634 + 0.9639I
u = −0.361599 + 0.346719I
a = −1.88139 + 1.04060I
b = 0.712858 − 0.024016I
−1.07670 + 2.06839I −13.9483 − 4.7417I
u = −0.361599 − 0.346719I
a = −1.88139 − 1.04060I
b = 0.712858 + 0.024016I
−1.07670 − 2.06839I −13.9483 + 4.7417I
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
26
− 14u
25
+ ··· − 10u + 1)(u
107
+ 51u
106
+ ··· + 27u + 1)
c
2
(u
26
− 7u
24
+ ··· − 2u + 1)(u
107
− 3u
106
+ ··· − u − 1)
c
3
(u
26
− u
25
+ ··· + 5u + 1)(u
107
+ 2u
106
+ ··· + 55540u + 8117)
c
4
(u
26
+ u
25
+ ··· − 2u − 1)(u
107
+ 6u
106
+ ··· + 63u + 1)
c
5
(u
26
+ 2u
25
+ ··· + 3u + 1)(u
107
+ 3u
106
+ ··· + 3214u − 319)
c
6
(u
26
− 7u
24
+ ··· + 2u + 1)(u
107
− 3u
106
+ ··· − u − 1)
c
7
(u
26
+ 4u
25
+ ··· − 10u
2
+ 1)(u
107
− 3u
106
+ ··· − 20005u − 18299)
c
8
, c
9
(u
26
− 2u
25
+ ··· − 3u + 1)(u
107
+ 3u
106
+ ··· + 3214u − 319)
c
10
(u
26
− 4u
25
+ ··· + u + 1)(u
107
− 13u
106
+ ··· + 650u − 113)
c
11
(u
26
− 4u
25
+ ··· − 10u
2
+ 1)(u
107
− 3u
106
+ ··· − 20005u − 18299)
c
12
(u
26
− u
25
+ ··· + 2u − 1)(u
107
+ 6u
106
+ ··· + 63u + 1)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
26
+ 10y
25
+ ··· + 38y + 1)(y
107
+ 25y
106
+ ··· − 85y −1)
c
2
, c
6
(y
26
− 14y
25
+ ··· − 10y + 1)(y
107
− 51y
106
+ ··· + 27y −1)
c
3
(y
26
− 5y
25
+ ··· − 9y + 1)
· (y
107
− 22y
106
+ ··· + 3840497938y −65885689)
c
4
, c
12
(y
26
+ 27y
25
+ ··· − 2y + 1)(y
107
+ 102y
106
+ ··· + 679y −1)
c
5
, c
8
, c
9
(y
26
− 30y
25
+ ··· − 3y + 1)
· (y
107
− 119y
106
+ ··· + 4129712y −101761)
c
7
, c
11
(y
26
− 28y
25
+ ··· − 20y + 1)
· (y
107
− 101y
106
+ ··· + 8587611801y −334853401)
c
10
(y
26
− 6y
25
+ ··· − 9y + 1)(y
107
− 19y
106
+ ··· + 1683354y −12769)
23
