12a
0403
(K12a
0403
)
A knot diagram
1
Linearized knot diagam
3 6 9 11 7 2 10 4 1 12 5 8
Solving Sequence
4,11 5,8
9 12 1 3 10 7 6 2
c
4
c
8
c
11
c
12
c
3
c
10
c
7
c
5
c
2
c
1
, c
6
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.61209 × 10
254
u
129
− 2.93112 × 10
253
u
128
+ ··· + 1.53311 × 10
253
b − 1.71265 × 10
254
,
− 6.10829 × 10
254
u
129
− 1.85917 × 10
254
u
128
+ ··· + 1.53311 × 10
253
a − 8.27337 × 10
254
,
u
130
+ u
129
+ ··· − 9u
2
+ 1i
I
u
2
= h−u
25
+ 6u
23
+ ··· − 2u
2
+ b, −6u
25
+ 36u
23
+ ··· + a − 2, u
26
− 7u
24
+ ··· − 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 156 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−1.61 × 10
254
u
129
− 2.93 × 10
253
u
128
+ · · · + 1.53 × 10
253
b − 1.71 ×
10
254
, −6.11 × 10
254
u
129
− 1.86 × 10
254
u
128
+ · · · + 1.53 × 10
253
a − 8.27 ×
10
254
, u
130
+ u
129
+ · · · − 9u
2
+ 1i
(i) Arc colorings
a
4
=
1
0
a
11
=
0
u
a
5
=
1
−u
2
a
8
=
39.8424u
129
+ 12.1268u
128
+ ··· − 71.6792u + 53.9645
10.5152u
129
+ 1.91187u
128
+ ··· − 19.4022u + 11.1711
a
9
=
29.3273u
129
+ 10.2149u
128
+ ··· − 52.2770u + 42.7935
10.5152u
129
+ 1.91187u
128
+ ··· − 19.4022u + 11.1711
a
12
=
u
−u
3
+ u
a
1
=
14.5228u
129
+ 3.05728u
128
+ ··· − 20.5663u + 22.8793
2.96961u
129
− 0.00148500u
128
+ ··· − 0.904318u + 1.33697
a
3
=
11.2281u
129
+ 6.52844u
128
+ ··· − 48.1159u + 19.9734
22.1475u
129
+ 5.96944u
128
+ ··· − 36.2059u + 29.8117
a
10
=
−u
3
u
5
− u
3
+ u
a
7
=
47.7274u
129
+ 14.7604u
128
+ ··· − 89.6195u + 65.9458
−3.06650u
129
− 2.28554u
128
+ ··· + 5.85600u − 7.67098
a
6
=
−24.2358u
129
− 12.7252u
128
+ ··· + 81.9825u − 40.8265
−19.2228u
129
− 3.74986u
128
+ ··· + 25.3360u − 23.6219
a
2
=
−55.0363u
129
− 15.5769u
128
+ ··· + 89.7412u − 73.3056
11.3693u
129
+ 6.04628u
128
+ ··· − 21.2891u + 20.2649
(ii) Obstruction class = −1
(iii) Cusp Shapes = −71.0846u
129
− 21.4994u
128
+ ··· + 150.345u − 94.8308
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
130
+ 40u
129
+ ··· + 5243u + 361
c
2
, c
6
u
130
− 2u
129
+ ··· + 37u + 19
c
3
, c
8
u
130
+ u
129
+ ··· + 35584u + 5216
c
4
, c
11
u
130
+ u
129
+ ··· − 9u
2
+ 1
c
7
u
130
− 21u
129
+ ··· − 17072u + 911
c
9
u
130
− 11u
129
+ ··· − 29278734u + 4023961
c
10
u
130
− 61u
129
+ ··· − 18u + 1
c
12
u
130
+ 3u
129
+ ··· − 44u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
130
+ 112y
129
+ ··· − 2411101y + 130321
c
2
, c
6
y
130
+ 40y
129
+ ··· + 5243y + 361
c
3
, c
8
y
130
+ 105y
129
+ ··· + 1506854912y + 27206656
c
4
, c
11
y
130
− 61y
129
+ ··· − 18y + 1
c
7
y
130
+ 7y
129
+ ··· + 22601312y + 829921
c
9
y
130
+ 43y
129
+ ··· + 1129554070125350y + 16192262129521
c
10
y
130
+ 27y
129
+ ··· − 2y + 1
c
12
y
130
+ 11y
129
+ ··· − 58y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.509202 + 0.855011I
a = 0.498772 + 0.094758I
b = 0.713093 + 0.527371I
0.96251 + 3.30480I 0
u = 0.509202 − 0.855011I
a = 0.498772 − 0.094758I
b = 0.713093 − 0.527371I
0.96251 − 3.30480I 0
u = −0.593875 + 0.798496I
a = −0.530730 + 0.097682I
b = −0.717692 + 0.391003I
0.88654 + 2.08195I 0
u = −0.593875 − 0.798496I
a = −0.530730 − 0.097682I
b = −0.717692 − 0.391003I
0.88654 − 2.08195I 0
u = 0.929958 + 0.347996I
a = −0.39585 + 2.09328I
b = −0.072294 − 1.251870I
1.64061 + 1.38142I 0
u = 0.929958 − 0.347996I
a = −0.39585 − 2.09328I
b = −0.072294 + 1.251870I
1.64061 − 1.38142I 0
u = 0.336256 + 0.927806I
a = −0.796971 − 0.702839I
b = −0.50671 − 1.40838I
6.33931 − 6.81283I 0
u = 0.336256 − 0.927806I
a = −0.796971 + 0.702839I
b = −0.50671 + 1.40838I
6.33931 + 6.81283I 0
u = −0.356381 + 0.955007I
a = 0.767059 − 0.713200I
b = 0.56789 − 1.39939I
5.44198 + 13.02370I 0
u = −0.356381 − 0.955007I
a = 0.767059 + 0.713200I
b = 0.56789 + 1.39939I
5.44198 − 13.02370I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.886456 + 0.404689I
a = 1.052930 − 0.210641I
b = −0.13292 + 1.68907I
3.50487 − 1.67509I 0
u = −0.886456 − 0.404689I
a = 1.052930 + 0.210641I
b = −0.13292 − 1.68907I
3.50487 + 1.67509I 0
u = 0.898105 + 0.357327I
a = 0.097358 + 0.234710I
b = 0.463027 + 0.463519I
1.46242 + 0.99189I 0
u = 0.898105 − 0.357327I
a = 0.097358 − 0.234710I
b = 0.463027 − 0.463519I
1.46242 − 0.99189I 0
u = −0.447773 + 0.854757I
a = 0.812166 − 0.852742I
b = 0.464138 − 1.182520I
−1.61430 + 7.18134I 0
u = −0.447773 − 0.854757I
a = 0.812166 + 0.852742I
b = 0.464138 + 1.182520I
−1.61430 − 7.18134I 0
u = 0.028408 + 1.047450I
a = 0.0298168 + 0.0526718I
b = 0.055674 + 1.089630I
1.38168 − 2.83301I 0
u = 0.028408 − 1.047450I
a = 0.0298168 − 0.0526718I
b = 0.055674 − 1.089630I
1.38168 + 2.83301I 0
u = 0.918248 + 0.516584I
a = −1.090820 − 0.672028I
b = −0.592103 − 0.453901I
−2.07416 + 1.17631I 0
u = 0.918248 − 0.516584I
a = −1.090820 + 0.672028I
b = −0.592103 + 0.453901I
−2.07416 − 1.17631I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.068390 + 0.036367I
a = −0.533392 + 0.719934I
b = 0.714329 + 0.427397I
6.74599 + 0.88495I 0
u = 1.068390 − 0.036367I
a = −0.533392 − 0.719934I
b = 0.714329 − 0.427397I
6.74599 − 0.88495I 0
u = −1.068140 + 0.048453I
a = 0.641132 − 0.806807I
b = −0.639749 − 0.326044I
6.57717 − 5.20705I 0
u = −1.068140 − 0.048453I
a = 0.641132 + 0.806807I
b = −0.639749 + 0.326044I
6.57717 + 5.20705I 0
u = 0.474333 + 0.793750I
a = 1.42633 + 0.52913I
b = 1.248970 − 0.024063I
1.04631 − 6.72480I 0
u = 0.474333 − 0.793750I
a = 1.42633 − 0.52913I
b = 1.248970 + 0.024063I
1.04631 + 6.72480I 0
u = −0.211878 + 0.899654I
a = 0.113596 + 0.471206I
b = 0.011925 + 0.653406I
0.00846 + 2.26955I 0
u = −0.211878 − 0.899654I
a = 0.113596 − 0.471206I
b = 0.011925 − 0.653406I
0.00846 − 2.26955I 0
u = 1.043040 + 0.310087I
a = −0.674633 − 0.168313I
b = 0.299402 + 1.302380I
3.23987 + 0.66096I 0
u = 1.043040 − 0.310087I
a = −0.674633 + 0.168313I
b = 0.299402 − 1.302380I
3.23987 − 0.66096I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.897876 + 0.622451I
a = −0.296316 − 0.114995I
b = −0.320580 + 0.185209I
−2.27994 − 2.54935I 0
u = −0.897876 − 0.622451I
a = −0.296316 + 0.114995I
b = −0.320580 − 0.185209I
−2.27994 + 2.54935I 0
u = 0.928047 + 0.579200I
a = −1.51608 + 0.04825I
b = −0.440217 + 1.167940I
2.19268 + 2.92591I 0
u = 0.928047 − 0.579200I
a = −1.51608 − 0.04825I
b = −0.440217 − 1.167940I
2.19268 − 2.92591I 0
u = 0.220666 + 0.875804I
a = 0.300745 − 0.078929I
b = 0.351467 + 0.742803I
−2.79081 + 0.10686I 0
u = 0.220666 − 0.875804I
a = 0.300745 + 0.078929I
b = 0.351467 − 0.742803I
−2.79081 − 0.10686I 0
u = 0.733722 + 0.522464I
a = 2.00650 + 0.68004I
b = 0.458631 − 0.614991I
−2.65495 + 3.05687I 0
u = 0.733722 − 0.522464I
a = 2.00650 − 0.68004I
b = 0.458631 + 0.614991I
−2.65495 − 3.05687I 0
u = 1.018030 + 0.428584I
a = −2.47019 − 0.62683I
b = −0.77431 + 1.54050I
8.63578 + 2.19944I 0
u = 1.018030 − 0.428584I
a = −2.47019 + 0.62683I
b = −0.77431 − 1.54050I
8.63578 − 2.19944I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.093750 + 0.174999I
a = 0.133531 + 1.114560I
b = 0.161207 − 1.343210I
6.83965 + 1.22941I 0
u = −1.093750 − 0.174999I
a = 0.133531 − 1.114560I
b = 0.161207 + 1.343210I
6.83965 − 1.22941I 0
u = 0.574040 + 0.681094I
a = 1.57386 + 0.49447I
b = 0.911480 − 0.289310I
−4.47776 − 2.24725I 0
u = 0.574040 − 0.681094I
a = 1.57386 − 0.49447I
b = 0.911480 + 0.289310I
−4.47776 + 2.24725I 0
u = −0.436725 + 0.773229I
a = −1.40280 + 0.51435I
b = −1.193450 + 0.090443I
1.55877 + 0.93798I 0
u = −0.436725 − 0.773229I
a = −1.40280 − 0.51435I
b = −1.193450 − 0.090443I
1.55877 − 0.93798I 0
u = −1.035340 + 0.414778I
a = −2.73292 + 0.89742I
b = 0.078187 − 1.142140I
8.56238 + 2.68143I 0
u = −1.035340 − 0.414778I
a = −2.73292 − 0.89742I
b = 0.078187 + 1.142140I
8.56238 − 2.68143I 0
u = −0.699029 + 0.876284I
a = 0.592966 + 0.288657I
b = 0.235687 + 0.794846I
−2.68901 − 3.02344I 0
u = −0.699029 − 0.876284I
a = 0.592966 − 0.288657I
b = 0.235687 − 0.794846I
−2.68901 + 3.02344I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.037120 + 0.434056I
a = 2.37149 − 0.79565I
b = 0.85425 + 1.50772I
8.48786 − 8.38623I 0
u = −1.037120 − 0.434056I
a = 2.37149 + 0.79565I
b = 0.85425 − 1.50772I
8.48786 + 8.38623I 0
u = −1.025120 + 0.473164I
a = 0.959278 + 0.006573I
b = −0.49173 + 1.75681I
8.32612 − 4.06036I 0
u = −1.025120 − 0.473164I
a = 0.959278 − 0.006573I
b = −0.49173 − 1.75681I
8.32612 + 4.06036I 0
u = 1.050630 + 0.454744I
a = −0.917953 + 0.022366I
b = 0.55173 + 1.68716I
8.32473 − 1.80064I 0
u = 1.050630 − 0.454744I
a = −0.917953 − 0.022366I
b = 0.55173 − 1.68716I
8.32473 + 1.80064I 0
u = −1.063180 + 0.430937I
a = −0.58849 + 1.63017I
b = −0.058016 − 1.400000I
9.39396 − 2.84669I 0
u = −1.063180 − 0.430937I
a = −0.58849 − 1.63017I
b = −0.058016 + 1.400000I
9.39396 + 2.84669I 0
u = 1.057120 + 0.445625I
a = 2.65397 + 0.82316I
b = −0.013916 − 1.207510I
9.30866 + 3.97637I 0
u = 1.057120 − 0.445625I
a = 2.65397 − 0.82316I
b = −0.013916 + 1.207510I
9.30866 − 3.97637I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.027220 + 0.512813I
a = 1.059940 − 0.790013I
b = 0.639379 + 0.032364I
0.24648 − 4.79938I 0
u = −1.027220 − 0.512813I
a = 1.059940 + 0.790013I
b = 0.639379 − 0.032364I
0.24648 + 4.79938I 0
u = 1.046340 + 0.473482I
a = 0.82440 + 1.66113I
b = 0.134896 − 1.384340I
8.14841 + 9.22541I 0
u = 1.046340 − 0.473482I
a = 0.82440 − 1.66113I
b = 0.134896 + 1.384340I
8.14841 − 9.22541I 0
u = −0.545276 + 0.639606I
a = 1.03442 − 1.26175I
b = 0.186702 − 1.005950I
−1.52110 − 0.44227I 0
u = −0.545276 − 0.639606I
a = 1.03442 + 1.26175I
b = 0.186702 + 1.005950I
−1.52110 + 0.44227I 0
u = 0.390450 + 0.737700I
a = −1.016130 − 0.865046I
b = −0.272120 − 1.212660I
2.18674 − 3.50290I 0
u = 0.390450 − 0.737700I
a = −1.016130 + 0.865046I
b = −0.272120 + 1.212660I
2.18674 + 3.50290I 0
u = −1.027540 + 0.567181I
a = −2.49518 + 0.12348I
b = −0.247361 − 1.113590I
−0.07817 − 4.30151I 0
u = −1.027540 − 0.567181I
a = −2.49518 − 0.12348I
b = −0.247361 + 1.113590I
−0.07817 + 4.30151I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.014170 + 0.597274I
a = −0.940366 − 0.823964I
b = −1.074860 − 0.153736I
−3.16292 + 7.20298I 0
u = 1.014170 − 0.597274I
a = −0.940366 + 0.823964I
b = −1.074860 + 0.153736I
−3.16292 − 7.20298I 0
u = 0.572558 + 0.577570I
a = −0.705746 + 0.987178I
b = 0.013116 + 0.994231I
1.31462 + 1.52913I 0
u = 0.572558 − 0.577570I
a = −0.705746 − 0.987178I
b = 0.013116 − 0.994231I
1.31462 − 1.52913I 0
u = −1.063620 + 0.531182I
a = 1.55039 − 0.68243I
b = 0.782288 + 1.041320I
1.77649 − 6.14291I 0
u = −1.063620 − 0.531182I
a = 1.55039 + 0.68243I
b = 0.782288 − 1.041320I
1.77649 + 6.14291I 0
u = 1.217100 + 0.002384I
a = −0.124676 + 0.695374I
b = −0.229100 − 1.224820I
4.39391 − 4.92277I 0
u = 1.217100 − 0.002384I
a = −0.124676 − 0.695374I
b = −0.229100 + 1.224820I
4.39391 + 4.92277I 0
u = 1.098210 + 0.580537I
a = 2.15399 + 0.42030I
b = 0.334891 − 1.275500I
4.25585 + 8.51800I 0
u = 1.098210 − 0.580537I
a = 2.15399 − 0.42030I
b = 0.334891 + 1.275500I
4.25585 − 8.51800I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.742640 + 0.141328I
a = −0.548019 + 0.622648I
b = −0.702422 + 0.357995I
−0.37001 + 2.09887I 0
u = −0.742640 − 0.141328I
a = −0.548019 − 0.622648I
b = −0.702422 − 0.357995I
−0.37001 − 2.09887I 0
u = −1.090340 + 0.601151I
a = 0.980753 − 1.010810I
b = 1.350370 + 0.221650I
3.49795 − 6.12050I 0
u = −1.090340 − 0.601151I
a = 0.980753 + 1.010810I
b = 1.350370 − 0.221650I
3.49795 + 6.12050I 0
u = 1.084980 + 0.619553I
a = −0.924365 − 1.002590I
b = −1.41403 + 0.11587I
2.87577 + 12.03660I 0
u = 1.084980 − 0.619553I
a = −0.924365 + 1.002590I
b = −1.41403 − 0.11587I
2.87577 − 12.03660I 0
u = 1.133690 + 0.553168I
a = −0.000590 − 0.160050I
b = 0.035890 + 0.456952I
3.41271 + 2.44811I 0
u = 1.133690 − 0.553168I
a = −0.000590 + 0.160050I
b = 0.035890 − 0.456952I
3.41271 − 2.44811I 0
u = −1.167180 + 0.515546I
a = 1.069000 − 0.655136I
b = 0.238612 + 0.704018I
0.90160 − 4.47290I 0
u = −1.167180 − 0.515546I
a = 1.069000 + 0.655136I
b = 0.238612 − 0.704018I
0.90160 + 4.47290I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.112320 + 0.635463I
a = −1.89464 + 0.36130I
b = −0.502155 − 1.267660I
0.39031 − 12.70120I 0
u = −1.112320 − 0.635463I
a = −1.89464 − 0.36130I
b = −0.502155 + 1.267660I
0.39031 + 12.70120I 0
u = 1.011570 + 0.788432I
a = −0.942662 − 0.191153I
b = −0.524442 + 0.980159I
2.49357 + 2.66977I 0
u = 1.011570 − 0.788432I
a = −0.942662 + 0.191153I
b = −0.524442 − 0.980159I
2.49357 − 2.66977I 0
u = −0.713494 + 0.051821I
a = 0.46859 + 2.36936I
b = −0.629327 + 0.996235I
6.73505 + 5.39971I 0. − 6.67137I
u = −0.713494 − 0.051821I
a = 0.46859 − 2.36936I
b = −0.629327 − 0.996235I
6.73505 − 5.39971I 0. + 6.67137I
u = −0.646455 + 0.301912I
a = −2.48015 + 0.20229I
b = −0.119522 − 0.300141I
−1.50794 + 0.96189I 0. + 4.47878I
u = −0.646455 − 0.301912I
a = −2.48015 − 0.20229I
b = −0.119522 + 0.300141I
−1.50794 − 0.96189I 0. − 4.47878I
u = −0.957768 + 0.861014I
a = 0.795400 − 0.118655I
b = 0.518069 + 0.870445I
1.93562 − 8.08524I 0
u = −0.957768 − 0.861014I
a = 0.795400 + 0.118655I
b = 0.518069 − 0.870445I
1.93562 + 8.08524I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.131660 + 0.644889I
a = −0.017855 − 0.210815I
b = 0.031068 + 0.357068I
2.53554 − 7.99505I 0
u = −1.131660 − 0.644889I
a = −0.017855 + 0.210815I
b = 0.031068 − 0.357068I
2.53554 + 7.99505I 0
u = −0.414707 + 0.543229I
a = −1.44411 − 0.01878I
b = −0.514799 + 0.077401I
−1.46765 + 0.55316I −5.51938 + 0.I
u = −0.414707 − 0.543229I
a = −1.44411 + 0.01878I
b = −0.514799 − 0.077401I
−1.46765 − 0.55316I −5.51938 + 0.I
u = 1.177350 + 0.622821I
a = 1.83782 + 0.61130I
b = 0.52036 − 1.47796I
8.8896 + 12.4584I 0
u = 1.177350 − 0.622821I
a = 1.83782 − 0.61130I
b = 0.52036 + 1.47796I
8.8896 − 12.4584I 0
u = 0.656339 + 0.094283I
a = −0.81649 + 2.49011I
b = 0.516044 + 1.118270I
7.08904 + 0.85513I 1.55916 + 0.67065I
u = 0.656339 − 0.094283I
a = −0.81649 − 2.49011I
b = 0.516044 − 1.118270I
7.08904 − 0.85513I 1.55916 − 0.67065I
u = −1.182400 + 0.638531I
a = −1.78274 + 0.60295I
b = −0.57484 − 1.48147I
7.9638 − 18.8078I 0
u = −1.182400 − 0.638531I
a = −1.78274 − 0.60295I
b = −0.57484 + 1.48147I
7.9638 + 18.8078I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.334980 + 0.164328I
a = −0.177999 + 0.766681I
b = 0.36863 − 1.38282I
12.10840 + 3.22937I 0
u = −1.334980 − 0.164328I
a = −0.177999 − 0.766681I
b = 0.36863 + 1.38282I
12.10840 − 3.22937I 0
u = 1.192810 + 0.658574I
a = −1.032600 − 0.496487I
b = −0.367166 + 1.083900I
0.02804 + 5.58104I 0
u = 1.192810 − 0.658574I
a = −1.032600 + 0.496487I
b = −0.367166 − 1.083900I
0.02804 − 5.58104I 0
u = 1.361470 + 0.138376I
a = 0.172454 + 0.713289I
b = −0.405011 − 1.350940I
11.4886 − 9.4027I 0
u = 1.361470 − 0.138376I
a = 0.172454 − 0.713289I
b = −0.405011 + 1.350940I
11.4886 + 9.4027I 0
u = −0.546821 + 0.289592I
a = 1.65444 − 0.59936I
b = 0.29617 + 1.57490I
6.75520 + 0.38557I 2.34221 − 0.35524I
u = −0.546821 − 0.289592I
a = 1.65444 + 0.59936I
b = 0.29617 − 1.57490I
6.75520 − 0.38557I 2.34221 + 0.35524I
u = −0.283388 + 0.519595I
a = −0.676958 + 0.981576I
b = −0.490870 + 0.746722I
−0.19821 + 1.81881I −1.33857 − 4.79331I
u = −0.283388 − 0.519595I
a = −0.676958 − 0.981576I
b = −0.490870 − 0.746722I
−0.19821 − 1.81881I −1.33857 + 4.79331I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.30321 + 0.58172I
a = 0.979124 − 0.580119I
b = 0.040159 + 1.134350I
5.36580 − 2.86946I 0
u = −1.30321 − 0.58172I
a = 0.979124 + 0.580119I
b = 0.040159 − 1.134350I
5.36580 + 2.86946I 0
u = 1.30315 + 0.61083I
a = −0.976012 − 0.565796I
b = −0.101153 + 1.189320I
5.18512 + 8.70691I 0
u = 1.30315 − 0.61083I
a = −0.976012 + 0.565796I
b = −0.101153 − 1.189320I
5.18512 − 8.70691I 0
u = 0.358009 + 0.283890I
a = −0.12358 + 1.66560I
b = −0.310074 − 1.372760I
6.25007 − 5.48107I 0.40688 + 4.78655I
u = 0.358009 − 0.283890I
a = −0.12358 − 1.66560I
b = −0.310074 + 1.372760I
6.25007 + 5.48107I 0.40688 − 4.78655I
u = 0.275587 + 0.254235I
a = −2.79143 − 0.53864I
b = −0.44112 + 1.43396I
6.29133 + 5.39143I 1.63868 − 5.15803I
u = 0.275587 − 0.254235I
a = −2.79143 + 0.53864I
b = −0.44112 − 1.43396I
6.29133 − 5.39143I 1.63868 + 5.15803I
u = −0.038310 + 0.320823I
a = −2.25277 + 1.23206I
b = 0.226328 − 1.341380I
6.98931 − 0.56807I 2.24564 + 0.98261I
u = −0.038310 − 0.320823I
a = −2.25277 − 1.23206I
b = 0.226328 + 1.341380I
6.98931 + 0.56807I 2.24564 − 0.98261I
17
II. I
u
2
=
h−u
25
+6u
23
+· · ·−2u
2
+b, −6u
25
+36u
23
+· · ·+a−2, u
26
−7u
24
+· · ·−2u+1 i
(i) Arc colorings
a
4
=
1
0
a
11
=
0
u
a
5
=
1
−u
2
a
8
=
6u
25
− 36u
23
+ ··· + 3u
2
+ 2
u
25
− 6u
23
+ ··· + 5u
3
+ 2u
2
a
9
=
5u
25
− 30u
23
+ ··· + u
2
+ 2
u
25
− 6u
23
+ ··· + 5u
3
+ 2u
2
a
12
=
u
−u
3
+ u
a
1
=
3u
25
− 24u
23
+ ··· − 9u − 3
−u
25
+ 7u
23
+ ··· − 2u
2
+ u
a
3
=
−u
25
− 4u
24
+ ··· − 19u + 10
−5u
24
+ 31u
22
+ ··· − 12u + 6
a
10
=
−u
3
u
5
− u
3
+ u
a
7
=
10u
25
− 61u
23
+ ··· − 5u + 2
−3u
25
+ 19u
23
+ ··· − 8u
2
+ 4u
a
6
=
11u
25
− 2u
24
+ ··· + 6u − 7
−3u
25
+ 9u
24
+ ··· + 28u − 12
a
2
=
10u
25
− 4u
24
+ ··· − 32u + 7
5u
25
− 5u
24
+ ··· − 7u + 6
(ii) Obstruction class = 1
(iii) Cusp Shapes = 15u
25
− 11u
24
− 82u
23
+ 66u
22
+ 264u
21
− 222u
20
− 523u
19
+
453u
18
+ 725u
17
− 534u
16
− 690u
15
+ 134u
14
+ 450u
13
+ 750u
12
− 60u
11
− 1510u
10
−
366u
9
+ 1511u
8
+ 679u
7
− 881u
6
− 619u
5
+ 300u
4
+ 313u
3
− 62u
2
− 68u + 18
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
26
− 11u
25
+ ··· − 19u + 1
c
2
u
26
− u
25
+ ··· − u + 1
c
3
u
26
+ 14u
24
+ ··· − 2u + 1
c
4
u
26
− 7u
24
+ ··· − 2u + 1
c
6
u
26
+ u
25
+ ··· + u + 1
c
7
u
26
+ 2u
25
+ ··· − 6u + 1
c
8
u
26
+ 14u
24
+ ··· + 2u + 1
c
9
u
26
+ 2u
25
+ ··· + 2u + 1
c
10
u
26
+ 14u
25
+ ··· + 14u + 1
c
11
u
26
− 7u
24
+ ··· + 2u + 1
c
12
u
26
− 2u
25
+ ··· − 2u + 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
26
+ 19y
25
+ ··· − 25y + 1
c
2
, c
6
y
26
+ 11y
25
+ ··· + 19y + 1
c
3
, c
8
y
26
+ 28y
25
+ ··· + 24y + 1
c
4
, c
11
y
26
− 14y
25
+ ··· − 14y + 1
c
7
y
26
− 2y
25
+ ··· − 8y + 1
c
9
y
26
− 6y
25
+ ··· + 6y + 1
c
10
y
26
+ 6y
25
+ ··· + 18y + 1
c
12
y
26
+ 6y
25
+ ··· − 6y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.926438 + 0.306095I
a = 1.161680 − 0.169903I
b = −0.11797 + 1.58451I
3.99706 − 1.26540I 8.60332 − 0.25195I
u = −0.926438 − 0.306095I
a = 1.161680 + 0.169903I
b = −0.11797 − 1.58451I
3.99706 + 1.26540I 8.60332 + 0.25195I
u = 0.894971 + 0.381321I
a = 0.03540 − 1.47493I
b = 0.082105 + 1.269800I
1.22514 + 1.58254I −6.40670 − 6.12006I
u = 0.894971 − 0.381321I
a = 0.03540 + 1.47493I
b = 0.082105 − 1.269800I
1.22514 − 1.58254I −6.40670 + 6.12006I
u = −0.091046 + 1.054860I
a = −0.0530006 − 0.0360406I
b = 0.002467 + 0.501029I
−0.49439 + 2.47097I −12.11732 − 4.76657I
u = −0.091046 − 1.054860I
a = −0.0530006 + 0.0360406I
b = 0.002467 − 0.501029I
−0.49439 − 2.47097I −12.11732 + 4.76657I
u = −1.010200 + 0.341957I
a = 1.75122 − 1.35815I
b = 0.28529 + 1.50200I
8.40045 − 0.93571I 5.10679 + 0.20470I
u = −1.010200 − 0.341957I
a = 1.75122 + 1.35815I
b = 0.28529 − 1.50200I
8.40045 + 0.93571I 5.10679 − 0.20470I
u = 1.034120 + 0.360488I
a = −1.69152 − 1.51374I
b = −0.36843 + 1.41693I
8.02871 + 7.16899I 4.04638 − 5.36180I
u = 1.034120 − 0.360488I
a = −1.69152 + 1.51374I
b = −0.36843 − 1.41693I
8.02871 − 7.16899I 4.04638 + 5.36180I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.849973 + 0.280397I
a = −0.242823 + 1.009170I
b = −0.47754 + 1.42636I
7.72718 − 1.62974I 6.84120 + 4.62901I
u = −0.849973 − 0.280397I
a = −0.242823 − 1.009170I
b = −0.47754 − 1.42636I
7.72718 + 1.62974I 6.84120 − 4.62901I
u = 0.820424 + 0.279483I
a = 0.824667 + 1.112980I
b = 0.54527 + 1.30745I
7.13325 − 4.52430I 5.24975 − 0.04556I
u = 0.820424 − 0.279483I
a = 0.824667 − 1.112980I
b = 0.54527 − 1.30745I
7.13325 + 4.52430I 5.24975 + 0.04556I
u = −1.032610 + 0.601802I
a = 1.65043 − 0.10414I
b = 0.271049 + 0.895367I
−0.69343 − 3.44104I −3.49913 + 1.77302I
u = −1.032610 − 0.601802I
a = 1.65043 + 0.10414I
b = 0.271049 − 0.895367I
−0.69343 + 3.44104I −3.49913 − 1.77302I
u = −0.436713 + 0.643549I
a = −0.873930 + 0.140641I
b = −0.095191 + 0.569752I
−2.36797 − 1.54791I −5.98242 + 3.82743I
u = −0.436713 − 0.643549I
a = −0.873930 − 0.140641I
b = −0.095191 − 0.569752I
−2.36797 + 1.54791I −5.98242 − 3.82743I
u = 1.148540 + 0.531353I
a = −1.142290 − 0.813304I
b = −0.463288 + 0.927025I
0.91919 + 5.37873I −0.19036 − 8.13525I
u = 1.148540 − 0.531353I
a = −1.142290 + 0.813304I
b = −0.463288 − 0.927025I
0.91919 − 5.37873I −0.19036 + 8.13525I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.224290 + 0.660084I
a = −0.727263 − 0.397645I
b = −0.437340 + 0.740384I
3.15373 + 3.44015I 1.09535 − 6.84735I
u = 1.224290 − 0.660084I
a = −0.727263 + 0.397645I
b = −0.437340 − 0.740384I
3.15373 − 3.44015I 1.09535 + 6.84735I
u = −1.194030 + 0.723388I
a = 0.710244 − 0.208449I
b = 0.378499 + 0.712573I
2.57372 − 8.76471I 1.16247 + 13.49329I
u = −1.194030 − 0.723388I
a = 0.710244 + 0.208449I
b = 0.378499 − 0.712573I
2.57372 + 8.76471I 1.16247 − 13.49329I
u = 0.418660 + 0.236428I
a = 2.59720 − 0.31551I
b = 0.395093 + 0.357296I
−1.76916 − 1.46008I −6.40935 + 7.45101I
u = 0.418660 − 0.236428I
a = 2.59720 + 0.31551I
b = 0.395093 − 0.357296I
−1.76916 + 1.46008I −6.40935 − 7.45101I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
5
(u
26
− 11u
25
+ ··· − 19u + 1)(u
130
+ 40u
129
+ ··· + 5243u + 361)
c
2
(u
26
− u
25
+ ··· − u + 1)(u
130
− 2u
129
+ ··· + 37u + 19)
c
3
(u
26
+ 14u
24
+ ··· − 2u + 1)(u
130
+ u
129
+ ··· + 35584u + 5216)
c
4
(u
26
− 7u
24
+ ··· − 2u + 1)(u
130
+ u
129
+ ··· − 9u
2
+ 1)
c
6
(u
26
+ u
25
+ ··· + u + 1)(u
130
− 2u
129
+ ··· + 37u + 19)
c
7
(u
26
+ 2u
25
+ ··· − 6u + 1)(u
130
− 21u
129
+ ··· − 17072u + 911)
c
8
(u
26
+ 14u
24
+ ··· + 2u + 1)(u
130
+ u
129
+ ··· + 35584u + 5216)
c
9
(u
26
+ 2u
25
+ ··· + 2u + 1)
· (u
130
− 11u
129
+ ··· − 29278734u + 4023961)
c
10
(u
26
+ 14u
25
+ ··· + 14u + 1)(u
130
− 61u
129
+ ··· − 18u + 1)
c
11
(u
26
− 7u
24
+ ··· + 2u + 1)(u
130
+ u
129
+ ··· − 9u
2
+ 1)
c
12
(u
26
− 2u
25
+ ··· − 2u + 1)(u
130
+ 3u
129
+ ··· − 44u + 1)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
26
+ 19y
25
+ ··· − 25y + 1)
· (y
130
+ 112y
129
+ ··· − 2411101y + 130321)
c
2
, c
6
(y
26
+ 11y
25
+ ··· + 19y + 1)(y
130
+ 40y
129
+ ··· + 5243y + 361)
c
3
, c
8
(y
26
+ 28y
25
+ ··· + 24y + 1)
· (y
130
+ 105y
129
+ ··· + 1506854912y + 27206656)
c
4
, c
11
(y
26
− 14y
25
+ ··· − 14y + 1)(y
130
− 61y
129
+ ··· − 18y + 1)
c
7
(y
26
− 2y
25
+ ··· − 8y + 1)(y
130
+ 7y
129
+ ··· + 2.26013 × 10
7
y + 829921)
c
9
(y
26
− 6y
25
+ ··· + 6y + 1)
· (y
130
+ 43y
129
+ ··· + 1129554070125350y + 16192262129521)
c
10
(y
26
+ 6y
25
+ ··· + 18y + 1)(y
130
+ 27y
129
+ ··· − 2y + 1)
c
12
(y
26
+ 6y
25
+ ··· − 6y + 1)(y
130
+ 11y
129
+ ··· − 58y + 1)
25
