12a
1089
(K12a
1089
)
A knot diagram
1
Linearized knot diagam
4 7 10 1 11 9 2 12 3 5 6 8
Solving Sequence
5,10
11 6
1,12
4 3 9 7 2 8
c
10
c
5
c
11
c
4
c
3
c
9
c
6
c
2
c
8
c
1
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h2.16790 × 10
353
u
115
+ 2.84497 × 10
353
u
114
+ ··· + 2.63757 × 10
354
b + 1.97507 × 10
355
,
− 3.27005 × 10
354
u
115
− 5.00102 × 10
354
u
114
+ ··· + 1.23966 × 10
356
a − 4.07845 × 10
356
,
u
116
+ u
115
+ ··· + 77u − 47i
I
u
2
= h−527881694u
37
+ 532329791u
36
+ ··· + 163338409b − 249206027,
− 867853410u
37
+ 1532845572u
36
+ ··· + 163338409a − 1189450516, u
38
− 22u
36
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 154 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
= h2.17 × 10
353
u
115
+ 2.84 × 10
353
u
114
+ · · · + 2.64 × 10
354
b + 1.98 ×
10
355
, −3.27 × 10
354
u
115
− 5.00 × 10
354
u
114
+ · · · + 1.24 × 10
356
a − 4.08 ×
10
356
, u
116
+ u
115
+ · · · + 77u − 47i
(i) Arc colorings
a
5
=
0
u
a
10
=
1
0
a
11
=
1
u
2
a
6
=
−u
−u
3
+ u
a
1
=
0.0263787u
115
+ 0.0403419u
114
+ ··· − 3.61240u + 3.28999
−0.0821930u
115
− 0.107863u
114
+ ··· + 0.687418u − 7.48822
a
12
=
−u
2
+ 1
−u
4
+ 2u
2
a
4
=
0.00829665u
115
+ 0.00828424u
114
+ ··· + 14.0526u + 5.31889
0.00131243u
115
+ 0.0121793u
114
+ ··· − 8.59129u − 2.26904
a
3
=
0.00960909u
115
+ 0.0204635u
114
+ ··· + 5.46135u + 3.04985
0.00131243u
115
+ 0.0121793u
114
+ ··· − 8.59129u − 2.26904
a
9
=
0.0106014u
115
+ 0.0172463u
114
+ ··· − 16.7708u − 1.82678
0.0306743u
115
+ 0.0473761u
114
+ ··· − 6.13314u + 0.511842
a
7
=
−0.0106968u
115
− 0.00589435u
114
+ ··· + 4.55965u − 2.79866
−0.0394291u
115
− 0.0526976u
114
+ ··· − 4.77318u − 6.48703
a
2
=
−0.0297377u
115
− 0.0329784u
114
+ ··· + 2.05844u − 1.66172
−0.0542512u
115
− 0.0727667u
114
+ ··· + 1.99382u − 4.73724
a
8
=
0.00550118u
115
+ 0.00583765u
114
+ ··· − 11.4685u − 0.314190
0.0190890u
115
+ 0.0342645u
114
+ ··· − 5.58633u − 0.267695
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.239239u
115
+ 0.274769u
114
+ ··· + 24.2940u + 29.3306
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
116
− 5u
115
+ ··· + 7u + 1
c
2
, c
7
u
116
+ u
115
+ ··· + 15451u − 12027
c
3
, c
9
u
116
+ u
115
+ ··· − 29632u − 18731
c
5
, c
10
, c
11
u
116
− u
115
+ ··· − 77u − 47
c
6
u
116
− 5u
115
+ ··· − 814958041u + 396832763
c
8
, c
12
u
116
− 3u
115
+ ··· − 41431u − 28963
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
116
+ 53y
115
+ ··· + 1061y + 1
c
2
, c
7
y
116
+ 87y
115
+ ··· + 10374252209y + 144648729
c
3
, c
9
y
116
− 89y
115
+ ··· − 3789676988y + 350850361
c
5
, c
10
, c
11
y
116
− 127y
115
+ ··· − 477y + 2209
c
6
y
116
− 73y
115
+ ··· − 7.82 × 10
18
y + 1.57 × 10
17
c
8
, c
12
y
116
+ 91y
115
+ ··· + 24959611685y + 838855369
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.960959 + 0.215752I
a = 0.202040 + 0.956436I
b = 0.20044 + 1.42180I
−0.288325 − 0.779523I 0
u = 0.960959 − 0.215752I
a = 0.202040 − 0.956436I
b = 0.20044 − 1.42180I
−0.288325 + 0.779523I 0
u = −1.003490 + 0.306347I
a = −0.572446 + 0.945587I
b = 0.99453 + 1.07087I
0.55988 + 4.62574I 0
u = −1.003490 − 0.306347I
a = −0.572446 − 0.945587I
b = 0.99453 − 1.07087I
0.55988 − 4.62574I 0
u = 1.017930 + 0.285169I
a = −0.406865 + 1.187220I
b = −0.204285 − 0.151586I
−5.89361 + 2.48036I 0
u = 1.017930 − 0.285169I
a = −0.406865 − 1.187220I
b = −0.204285 + 0.151586I
−5.89361 − 2.48036I 0
u = 0.358643 + 0.862625I
a = −0.830151 + 0.350832I
b = 1.85943 − 0.74398I
−9.20673 + 1.54759I 0
u = 0.358643 − 0.862625I
a = −0.830151 − 0.350832I
b = 1.85943 + 0.74398I
−9.20673 − 1.54759I 0
u = −0.692941 + 0.610126I
a = −1.31092 + 0.62066I
b = 1.43770 + 0.10147I
−2.45600 + 7.26119I 0
u = −0.692941 − 0.610126I
a = −1.31092 − 0.62066I
b = 1.43770 − 0.10147I
−2.45600 − 7.26119I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.585134 + 0.704910I
a = −0.368240 + 1.259040I
b = −0.640094 − 0.004933I
−9.95535 − 6.43682I 0
u = 0.585134 − 0.704910I
a = −0.368240 − 1.259040I
b = −0.640094 + 0.004933I
−9.95535 + 6.43682I 0
u = −0.879930 + 0.234208I
a = −0.568954 + 0.259175I
b = 0.032102 − 0.373700I
−3.78870 + 2.47110I 0
u = −0.879930 − 0.234208I
a = −0.568954 − 0.259175I
b = 0.032102 + 0.373700I
−3.78870 − 2.47110I 0
u = −0.805223 + 0.376836I
a = 0.247170 + 0.868480I
b = 0.511052 − 0.312783I
−4.48108 + 3.01418I 0
u = −0.805223 − 0.376836I
a = 0.247170 − 0.868480I
b = 0.511052 + 0.312783I
−4.48108 − 3.01418I 0
u = 0.628358 + 0.953747I
a = −1.211560 − 0.030659I
b = 1.67900 − 0.74020I
−7.7685 − 12.9192I 0
u = 0.628358 − 0.953747I
a = −1.211560 + 0.030659I
b = 1.67900 + 0.74020I
−7.7685 + 12.9192I 0
u = 0.487797 + 0.688192I
a = −1.044840 − 0.304123I
b = 1.304500 + 0.082287I
0.43138 − 3.07010I 0
u = 0.487797 − 0.688192I
a = −1.044840 + 0.304123I
b = 1.304500 − 0.082287I
0.43138 + 3.07010I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.731382 + 0.354228I
a = 0.189971 + 0.918976I
b = 1.206400 + 0.006932I
−3.88310 − 4.22061I 0
u = −0.731382 − 0.354228I
a = 0.189971 − 0.918976I
b = 1.206400 − 0.006932I
−3.88310 + 4.22061I 0
u = −0.582124 + 1.054380I
a = −0.950379 − 0.033672I
b = 1.77847 + 0.80668I
−3.01776 + 5.66969I 0
u = −0.582124 − 1.054380I
a = −0.950379 + 0.033672I
b = 1.77847 − 0.80668I
−3.01776 − 5.66969I 0
u = −0.167777 + 0.765414I
a = 1.69805 − 0.76921I
b = −1.119090 + 0.121688I
−0.91303 − 2.88527I 0
u = −0.167777 − 0.765414I
a = 1.69805 + 0.76921I
b = −1.119090 − 0.121688I
−0.91303 + 2.88527I 0
u = 0.679246 + 1.027930I
a = 0.433132 + 0.879625I
b = −1.272730 − 0.040711I
−7.79920 + 6.41393I 0
u = 0.679246 − 1.027930I
a = 0.433132 − 0.879625I
b = −1.272730 + 0.040711I
−7.79920 − 6.41393I 0
u = 1.157620 + 0.443863I
a = −0.189174 − 0.568301I
b = 1.221170 − 0.216240I
−1.20649 − 0.86334I 0
u = 1.157620 − 0.443863I
a = −0.189174 + 0.568301I
b = 1.221170 + 0.216240I
−1.20649 + 0.86334I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.464480 + 0.597645I
a = −0.666327 − 1.078540I
b = 0.470414 + 0.162347I
−5.87891 + 2.01172I 0
u = −0.464480 − 0.597645I
a = −0.666327 + 1.078540I
b = 0.470414 − 0.162347I
−5.87891 − 2.01172I 0
u = −0.133836 + 0.739194I
a = 1.45697 + 0.66942I
b = −1.137490 − 0.492056I
−2.21680 + 0.85063I 0
u = −0.133836 − 0.739194I
a = 1.45697 − 0.66942I
b = −1.137490 + 0.492056I
−2.21680 − 0.85063I 0
u = −1.249440 + 0.020384I
a = −0.207298 + 0.788926I
b = −0.174210 + 0.534680I
−4.27742 + 2.03570I 0
u = −1.249440 − 0.020384I
a = −0.207298 − 0.788926I
b = −0.174210 − 0.534680I
−4.27742 − 2.03570I 0
u = −0.468547 + 0.563268I
a = 1.56977 − 0.26709I
b = −1.60428 − 0.92377I
−3.24415 + 7.60529I 0
u = −0.468547 − 0.563268I
a = 1.56977 + 0.26709I
b = −1.60428 + 0.92377I
−3.24415 − 7.60529I 0
u = −0.897144 + 0.913412I
a = 0.093383 − 0.693891I
b = −1.106540 − 0.322936I
−3.93054 + 1.06843I 0
u = −0.897144 − 0.913412I
a = 0.093383 + 0.693891I
b = −1.106540 + 0.322936I
−3.93054 − 1.06843I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.222980 + 0.397868I
a = −0.457048 − 0.965708I
b = 0.838741 − 0.018901I
−5.21017 − 1.33349I 0
u = 1.222980 − 0.397868I
a = −0.457048 + 0.965708I
b = 0.838741 + 0.018901I
−5.21017 + 1.33349I 0
u = 0.258967 + 0.649396I
a = 1.62115 + 0.08108I
b = −1.25777 + 0.75678I
1.24152 − 3.15622I 0. + 5.35356I
u = 0.258967 − 0.649396I
a = 1.62115 − 0.08108I
b = −1.25777 − 0.75678I
1.24152 + 3.15622I 0. − 5.35356I
u = −1.293710 + 0.162674I
a = −0.881449 + 1.047260I
b = 0.921047 + 0.824360I
−3.96629 + 5.43316I 0
u = −1.293710 − 0.162674I
a = −0.881449 − 1.047260I
b = 0.921047 − 0.824360I
−3.96629 − 5.43316I 0
u = −1.297460 + 0.154478I
a = −0.665454 + 0.573927I
b = 0.677618 + 0.284900I
−4.60138 + 2.60940I 0
u = −1.297460 − 0.154478I
a = −0.665454 − 0.573927I
b = 0.677618 − 0.284900I
−4.60138 − 2.60940I 0
u = 1.290000 + 0.313602I
a = −0.906934 − 0.585868I
b = 1.44302 − 0.96953I
−6.62702 − 4.67162I 0
u = 1.290000 − 0.313602I
a = −0.906934 + 0.585868I
b = 1.44302 + 0.96953I
−6.62702 + 4.67162I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.661781
a = 0.657001
b = 0.484863
−1.43796 −6.19480
u = 1.353330 + 0.210766I
a = 0.189472 + 0.011626I
b = −2.51986 + 1.39800I
−12.12510 − 4.40047I 0
u = 1.353330 − 0.210766I
a = 0.189472 − 0.011626I
b = −2.51986 − 1.39800I
−12.12510 + 4.40047I 0
u = 1.368650 + 0.171457I
a = −0.288360 − 0.577493I
b = 1.40899 − 0.52054I
−1.90006 − 1.36942I 0
u = 1.368650 − 0.171457I
a = −0.288360 + 0.577493I
b = 1.40899 + 0.52054I
−1.90006 + 1.36942I 0
u = −0.172317 + 0.592852I
a = 1.54879 − 0.53651I
b = −1.378770 + 0.226916I
2.99453 − 1.29302I 3.14653 + 1.82110I
u = −0.172317 − 0.592852I
a = 1.54879 + 0.53651I
b = −1.378770 − 0.226916I
2.99453 + 1.29302I 3.14653 − 1.82110I
u = −1.40946 + 0.14375I
a = 0.910021 − 0.506146I
b = −1.52632 − 0.63329I
−7.99936 + 7.61801I 0
u = −1.40946 − 0.14375I
a = 0.910021 + 0.506146I
b = −1.52632 + 0.63329I
−7.99936 − 7.61801I 0
u = 1.44395 + 0.06856I
a = −0.060905 − 1.071410I
b = −0.03857 − 1.66674I
−5.58618 − 0.23721I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.44395 − 0.06856I
a = −0.060905 + 1.071410I
b = −0.03857 + 1.66674I
−5.58618 + 0.23721I 0
u = −1.44048 + 0.16211I
a = −0.484450 + 0.926250I
b = 0.94003 + 1.47624I
−4.25117 + 5.91833I 0
u = −1.44048 − 0.16211I
a = −0.484450 − 0.926250I
b = 0.94003 − 1.47624I
−4.25117 − 5.91833I 0
u = 1.46635 + 0.08055I
a = 0.665160 + 0.716250I
b = −1.50709 + 0.93593I
−7.01488 − 3.82662I 0
u = 1.46635 − 0.08055I
a = 0.665160 − 0.716250I
b = −1.50709 − 0.93593I
−7.01488 + 3.82662I 0
u = −1.46917 + 0.04899I
a = 0.396075 + 0.627817I
b = −1.051470 + 0.295556I
−5.94902 + 1.80517I 0
u = −1.46917 − 0.04899I
a = 0.396075 − 0.627817I
b = −1.051470 − 0.295556I
−5.94902 − 1.80517I 0
u = 0.436644 + 0.278726I
a = 0.79629 + 1.35693I
b = 0.046925 + 0.359287I
−0.061028 − 0.849331I −5.28659 + 2.65216I
u = 0.436644 − 0.278726I
a = 0.79629 − 1.35693I
b = 0.046925 − 0.359287I
−0.061028 + 0.849331I −5.28659 − 2.65216I
u = 0.106867 + 0.503282I
a = −2.19321 + 1.46638I
b = 1.026670 − 0.286632I
−3.01366 − 5.47537I −6.48835 + 8.18173I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.106867 − 0.503282I
a = −2.19321 − 1.46638I
b = 1.026670 + 0.286632I
−3.01366 + 5.47537I −6.48835 − 8.18173I
u = 1.47887 + 0.17152I
a = 0.523765 − 0.316475I
b = −1.61108 + 0.20680I
−12.18370 − 4.76851I 0
u = 1.47887 − 0.17152I
a = 0.523765 + 0.316475I
b = −1.61108 − 0.20680I
−12.18370 + 4.76851I 0
u = −1.51464 + 0.05952I
a = −0.389191 + 0.554694I
b = 2.03095 + 0.12844I
−5.28031 + 2.22171I 0
u = −1.51464 − 0.05952I
a = −0.389191 − 0.554694I
b = 2.03095 − 0.12844I
−5.28031 − 2.22171I 0
u = 1.51802 + 0.00269I
a = 0.613331 − 0.688802I
b = −0.773740 − 0.133042I
−7.17942 + 3.54005I 0
u = 1.51802 − 0.00269I
a = 0.613331 + 0.688802I
b = −0.773740 + 0.133042I
−7.17942 − 3.54005I 0
u = −1.52528 + 0.01270I
a = 0.327369 + 0.623025I
b = −1.92991 + 2.09247I
−15.1818 − 1.9790I 0
u = −1.52528 − 0.01270I
a = 0.327369 − 0.623025I
b = −1.92991 − 2.09247I
−15.1818 + 1.9790I 0
u = −1.53222
a = −0.723600
b = 0.163999
−8.63565 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.52661 + 0.18269I
a = −0.524603 − 0.711133I
b = 1.66289 − 1.67415I
−9.8942 − 10.3270I 0
u = 1.52661 − 0.18269I
a = −0.524603 + 0.711133I
b = 1.66289 + 1.67415I
−9.8942 + 10.3270I 0
u = −1.52452 + 0.23062I
a = 0.444833 − 0.482269I
b = −1.60575 − 0.61844I
−6.20833 + 6.42415I 0
u = −1.52452 − 0.23062I
a = 0.444833 + 0.482269I
b = −1.60575 + 0.61844I
−6.20833 − 6.42415I 0
u = 1.57165 + 0.06912I
a = −0.620425 + 0.219408I
b = 0.090989 − 0.239787I
−12.44280 − 4.39857I 0
u = 1.57165 − 0.06912I
a = −0.620425 − 0.219408I
b = 0.090989 + 0.239787I
−12.44280 + 4.39857I 0
u = −1.55440 + 0.25060I
a = 0.759326 + 0.565189I
b = −0.170882 − 0.092229I
−16.9699 + 10.0081I 0
u = −1.55440 − 0.25060I
a = 0.759326 − 0.565189I
b = −0.170882 + 0.092229I
−16.9699 − 10.0081I 0
u = −1.55772 + 0.37131I
a = 0.466429 − 0.498527I
b = −1.58644 − 2.10988I
−15.4065 + 3.1899I 0
u = −1.55772 − 0.37131I
a = 0.466429 + 0.498527I
b = −1.58644 + 2.10988I
−15.4065 − 3.1899I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.354649 + 0.178265I
a = 1.70120 + 1.60306I
b = −1.53968 − 0.34601I
1.15993 − 1.35908I −12.2639 + 8.3469I
u = 0.354649 − 0.178265I
a = 1.70120 − 1.60306I
b = −1.53968 + 0.34601I
1.15993 + 1.35908I −12.2639 − 8.3469I
u = 0.236468 + 0.316597I
a = 0.687125 + 0.346260I
b = 0.023923 + 0.310352I
−0.232689 − 0.919664I −4.83172 + 7.00937I
u = 0.236468 − 0.316597I
a = 0.687125 − 0.346260I
b = 0.023923 − 0.310352I
−0.232689 + 0.919664I −4.83172 − 7.00937I
u = 0.339066 + 0.194268I
a = −0.30345 + 1.62912I
b = 1.98945 + 1.31338I
−8.61292 + 2.47865I −16.4334 − 8.3819I
u = 0.339066 − 0.194268I
a = −0.30345 − 1.62912I
b = 1.98945 − 1.31338I
−8.61292 − 2.47865I −16.4334 + 8.3819I
u = 1.59917 + 0.20284I
a = 0.495414 + 0.636121I
b = −1.75924 + 0.41320I
−10.1244 − 10.3524I 0
u = 1.59917 − 0.20284I
a = 0.495414 − 0.636121I
b = −1.75924 − 0.41320I
−10.1244 + 10.3524I 0
u = −0.340269 + 0.160523I
a = −0.29929 − 3.82080I
b = −0.1017990 + 0.0615742I
−0.65522 − 3.86174I −1.78994 − 2.48842I
u = −0.340269 − 0.160523I
a = −0.29929 + 3.82080I
b = −0.1017990 − 0.0615742I
−0.65522 + 3.86174I −1.78994 + 2.48842I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.60196 + 0.32741I
a = 0.666214 − 0.633941I
b = −1.70758 − 1.33120I
−15.0370 + 17.6468I 0
u = −1.60196 − 0.32741I
a = 0.666214 + 0.633941I
b = −1.70758 + 1.33120I
−15.0370 − 17.6468I 0
u = 1.62875 + 0.18797I
a = 0.574360 − 0.281082I
b = −0.174088 − 0.108636I
−12.65020 − 4.72514I 0
u = 1.62875 − 0.18797I
a = 0.574360 + 0.281082I
b = −0.174088 + 0.108636I
−12.65020 + 4.72514I 0
u = 1.61481 + 0.33845I
a = 0.555062 + 0.610354I
b = −1.55778 + 1.59357I
−10.2522 − 10.7501I 0
u = 1.61481 − 0.33845I
a = 0.555062 − 0.610354I
b = −1.55778 − 1.59357I
−10.2522 + 10.7501I 0
u = −0.230330 + 0.228442I
a = −3.69984 + 0.55947I
b = 1.044400 + 0.380961I
−1.24659 + 2.68982I −8.71560 − 2.56344I
u = −0.230330 − 0.228442I
a = −3.69984 − 0.55947I
b = 1.044400 − 0.380961I
−1.24659 − 2.68982I −8.71560 + 2.56344I
u = −1.69160 + 0.02487I
a = 0.298589 − 0.467853I
b = −0.503361 + 0.496794I
−15.6936 + 2.0907I 0
u = −1.69160 − 0.02487I
a = 0.298589 + 0.467853I
b = −0.503361 − 0.496794I
−15.6936 − 2.0907I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.70904 + 0.04941I
a = 0.0012741 + 0.0255841I
b = −0.293011 − 0.420005I
−13.27090 − 3.79964I 0
u = 1.70904 − 0.04941I
a = 0.0012741 − 0.0255841I
b = −0.293011 + 0.420005I
−13.27090 + 3.79964I 0
u = −0.022579 + 0.237295I
a = 4.94054 − 0.59275I
b = −0.036723 − 0.673903I
−0.398563 − 0.766268I −5.02338 − 1.75801I
u = −0.022579 − 0.237295I
a = 4.94054 + 0.59275I
b = −0.036723 + 0.673903I
−0.398563 + 0.766268I −5.02338 + 1.75801I
u = −1.74312 + 0.30205I
a = 0.222382 + 0.493873I
b = 0.224365 + 0.240219I
−15.9338 − 1.1454I 0
u = −1.74312 − 0.30205I
a = 0.222382 − 0.493873I
b = 0.224365 − 0.240219I
−15.9338 + 1.1454I 0
16
II.
I
u
2
= h−5.28 × 10
8
u
37
+ 5.32 × 10
8
u
36
+ · · · + 1.63 × 10
8
b − 2.49 × 10
8
, −8.68 ×
10
8
u
37
+1.53×10
9
u
36
+· · ·+1.63×10
8
a−1.19×10
9
, u
38
−22u
36
+· · ·+2u+1i
(i) Arc colorings
a
5
=
0
u
a
10
=
1
0
a
11
=
1
u
2
a
6
=
−u
−u
3
+ u
a
1
=
5.31322u
37
− 9.38448u
36
+ ··· + 4.88198u + 7.28212
3.23183u
37
− 3.25906u
36
+ ··· + 1.21161u + 1.52570
a
12
=
−u
2
+ 1
−u
4
+ 2u
2
a
4
=
14.3841u
37
− 12.5499u
36
+ ··· + 15.2625u + 11.1622
−0.924842u
37
− 2.22155u
36
+ ··· + 0.348607u + 1.07494
a
3
=
13.4593u
37
− 14.7715u
36
+ ··· + 15.6111u + 12.2372
−0.924842u
37
− 2.22155u
36
+ ··· + 0.348607u + 1.07494
a
9
=
4.93937u
37
− 8.54762u
36
+ ··· + 11.4126u + 4.43711
−1.52994u
37
− 0.382225u
36
+ ··· + 0.827180u + 0.554171
a
7
=
−18.2878u
37
+ 14.5316u
36
+ ··· − 4.64258u − 9.11580
2.01550u
37
− 1.75794u
36
+ ··· + 2.32068u + 1.83899
a
2
=
8.31963u
37
− 10.4202u
36
+ ··· + 13.0808u + 10.0178
9.32112u
37
− 8.17447u
36
+ ··· + 1.52212u + 4.62608
a
8
=
3.34463u
37
− 4.81435u
36
+ ··· + 7.15442u + 1.06791
1.46047u
37
− 4.57157u
36
+ ··· + 3.91592u + 3.04337
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
4604442165
163338409
u
37
+
4374776075
163338409
u
36
+ ··· −
4846027611
163338409
u −
4296043422
163338409
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
38
− 6u
37
+ ··· + 19u
2
+ 1
c
2
u
38
+ 13u
36
+ ··· + 11u
2
+ 1
c
3
u
38
− 13u
36
+ ··· − u + 1
c
4
u
38
+ 6u
37
+ ··· + 19u
2
+ 1
c
5
u
38
− 22u
36
+ ··· − 2u + 1
c
6
u
38
− 12u
37
+ ··· + 4u + 1
c
7
u
38
+ 13u
36
+ ··· + 11u
2
+ 1
c
8
u
38
− 2u
37
+ ··· − 2u + 1
c
9
u
38
− 13u
36
+ ··· + u + 1
c
10
, c
11
u
38
− 22u
36
+ ··· + 2u + 1
c
12
u
38
+ 2u
37
+ ··· + 2u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
38
+ 24y
37
+ ··· + 38y + 1
c
2
, c
7
y
38
+ 26y
37
+ ··· + 22y + 1
c
3
, c
9
y
38
− 26y
37
+ ··· − 23y + 1
c
5
, c
10
, c
11
y
38
− 44y
37
+ ··· + 16y + 1
c
6
y
38
− 14y
37
+ ··· − 20y + 1
c
8
, c
12
y
38
+ 26y
37
+ ··· + 22y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.845300 + 0.345162I
a = 0.338386 + 1.137760I
b = −0.32722 + 1.59715I
−1.16974 − 1.73068I −9.18761 + 3.86520I
u = 0.845300 − 0.345162I
a = 0.338386 − 1.137760I
b = −0.32722 − 1.59715I
−1.16974 + 1.73068I −9.18761 − 3.86520I
u = −1.075900 + 0.490650I
a = −0.119385 − 0.717667I
b = −0.776808 − 0.499551I
−2.21710 − 0.20719I 0
u = −1.075900 − 0.490650I
a = −0.119385 + 0.717667I
b = −0.776808 + 0.499551I
−2.21710 + 0.20719I 0
u = 1.033810 + 0.630364I
a = −0.365158 − 0.609189I
b = 1.085160 + 0.081502I
−2.23477 − 2.07430I 0
u = 1.033810 − 0.630364I
a = −0.365158 + 0.609189I
b = 1.085160 − 0.081502I
−2.23477 + 2.07430I 0
u = 1.213070 + 0.129572I
a = −0.971194 − 0.702052I
b = 1.43380 − 0.83294I
−6.47476 − 6.42446I 0
u = 1.213070 − 0.129572I
a = −0.971194 + 0.702052I
b = 1.43380 + 0.83294I
−6.47476 + 6.42446I 0
u = −0.591964 + 0.497140I
a = −1.45976 + 0.47838I
b = 1.132600 + 0.660163I
−1.01401 + 4.18940I −7.92108 − 6.86650I
u = −0.591964 − 0.497140I
a = −1.45976 − 0.47838I
b = 1.132600 − 0.660163I
−1.01401 − 4.18940I −7.92108 + 6.86650I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.258410 + 0.014992I
a = −0.693674 + 1.161820I
b = 0.225758 + 0.323174I
−3.68830 + 4.09048I 0
u = −1.258410 − 0.014992I
a = −0.693674 − 1.161820I
b = 0.225758 − 0.323174I
−3.68830 − 4.09048I 0
u = 1.295500 + 0.139505I
a = −0.207698 − 1.073070I
b = 0.424930 − 0.405980I
−3.47612 − 0.57571I 0
u = 1.295500 − 0.139505I
a = −0.207698 + 1.073070I
b = 0.424930 + 0.405980I
−3.47612 + 0.57571I 0
u = −1.308540 + 0.209055I
a = −0.918887 + 0.930344I
b = 1.070840 + 0.779406I
−4.01003 + 4.84629I 0
u = −1.308540 − 0.209055I
a = −0.918887 − 0.930344I
b = 1.070840 − 0.779406I
−4.01003 − 4.84629I 0
u = −1.349830 + 0.218225I
a = 0.337053 − 0.338847I
b = −2.79365 − 1.97465I
−11.98640 + 4.84924I 0
u = −1.349830 − 0.218225I
a = 0.337053 + 0.338847I
b = −2.79365 + 1.97465I
−11.98640 − 4.84924I 0
u = 0.568716 + 0.260697I
a = −0.51186 + 1.55162I
b = −0.879940 − 0.173321I
−4.17805 + 4.98454I −12.4387 − 7.5335I
u = 0.568716 − 0.260697I
a = −0.51186 − 1.55162I
b = −0.879940 + 0.173321I
−4.17805 − 4.98454I −12.4387 + 7.5335I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.043630 + 0.613046I
a = 2.14935 − 0.52868I
b = −0.951744 + 0.388637I
0.16120 − 1.94338I −1.61641 + 1.64133I
u = 0.043630 − 0.613046I
a = 2.14935 + 0.52868I
b = −0.951744 − 0.388637I
0.16120 + 1.94338I −1.61641 − 1.64133I
u = −1.382380 + 0.129023I
a = −0.502921 + 0.556519I
b = 1.400430 + 0.177789I
−3.21900 + 2.46219I 0
u = −1.382380 − 0.129023I
a = −0.502921 − 0.556519I
b = 1.400430 − 0.177789I
−3.21900 − 2.46219I 0
u = 1.382280 + 0.130383I
a = −0.160127 − 0.732742I
b = 1.125510 − 0.826687I
−3.21902 − 0.43410I 0
u = 1.382280 − 0.130383I
a = −0.160127 + 0.732742I
b = 1.125510 + 0.826687I
−3.21902 + 0.43410I 0
u = −0.290144 + 0.501562I
a = −0.570564 + 0.674190I
b = 2.43131 − 0.84254I
−8.23797 − 2.23376I −1.081678 − 0.656268I
u = −0.290144 − 0.501562I
a = −0.570564 − 0.674190I
b = 2.43131 + 0.84254I
−8.23797 + 2.23376I −1.081678 + 0.656268I
u = −0.547436 + 0.172617I
a = −1.76767 + 1.62933I
b = 0.629561 + 0.685083I
−0.97791 + 4.28318I −10.89005 − 8.80813I
u = −0.547436 − 0.172617I
a = −1.76767 − 1.62933I
b = 0.629561 − 0.685083I
−0.97791 − 4.28318I −10.89005 + 8.80813I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.48151 + 0.17342I
a = 0.723559 + 0.487485I
b = −1.40241 + 0.68808I
−7.49670 − 6.47075I 0
u = 1.48151 − 0.17342I
a = 0.723559 − 0.487485I
b = −1.40241 − 0.68808I
−7.49670 + 6.47075I 0
u = 1.66287 + 0.16694I
a = 0.036943 + 0.221785I
b = −1.42836 − 0.05616I
−15.4031 − 0.5322I 0
u = 1.66287 − 0.16694I
a = 0.036943 − 0.221785I
b = −1.42836 + 0.05616I
−15.4031 + 0.5322I 0
u = −1.72217 + 0.01885I
a = 0.159381 − 0.267951I
b = −0.0689918 + 0.0997977I
−13.14540 + 4.08884I 0
u = −1.72217 − 0.01885I
a = 0.159381 + 0.267951I
b = −0.0689918 − 0.0997977I
−13.14540 − 4.08884I 0
u = 0.000076 + 0.257922I
a = 3.50423 − 0.93454I
b = −1.330790 − 0.365022I
1.51579 − 1.01431I 0.50261 − 2.29885I
u = 0.000076 − 0.257922I
a = 3.50423 + 0.93454I
b = −1.330790 + 0.365022I
1.51579 + 1.01431I 0.50261 + 2.29885I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
38
− 6u
37
+ ··· + 19u
2
+ 1)(u
116
− 5u
115
+ ··· + 7u + 1)
c
2
(u
38
+ 13u
36
+ ··· + 11u
2
+ 1)(u
116
+ u
115
+ ··· + 15451u − 12027)
c
3
(u
38
− 13u
36
+ ··· − u + 1)(u
116
+ u
115
+ ··· − 29632u − 18731)
c
4
(u
38
+ 6u
37
+ ··· + 19u
2
+ 1)(u
116
− 5u
115
+ ··· + 7u + 1)
c
5
(u
38
− 22u
36
+ ··· − 2u + 1)(u
116
− u
115
+ ··· − 77u − 47)
c
6
(u
38
− 12u
37
+ ··· + 4u + 1)
· (u
116
− 5u
115
+ ··· − 814958041u + 396832763)
c
7
(u
38
+ 13u
36
+ ··· + 11u
2
+ 1)(u
116
+ u
115
+ ··· + 15451u − 12027)
c
8
(u
38
− 2u
37
+ ··· − 2u + 1)(u
116
− 3u
115
+ ··· − 41431u − 28963)
c
9
(u
38
− 13u
36
+ ··· + u + 1)(u
116
+ u
115
+ ··· − 29632u − 18731)
c
10
, c
11
(u
38
− 22u
36
+ ··· + 2u + 1)(u
116
− u
115
+ ··· − 77u − 47)
c
12
(u
38
+ 2u
37
+ ··· + 2u + 1)(u
116
− 3u
115
+ ··· − 41431u − 28963)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
38
+ 24y
37
+ ··· + 38y + 1)(y
116
+ 53y
115
+ ··· + 1061y + 1)
c
2
, c
7
(y
38
+ 26y
37
+ ··· + 22y + 1)
· (y
116
+ 87y
115
+ ··· + 10374252209y + 144648729)
c
3
, c
9
(y
38
− 26y
37
+ ··· − 23y + 1)
· (y
116
− 89y
115
+ ··· − 3789676988y + 350850361)
c
5
, c
10
, c
11
(y
38
− 44y
37
+ ··· + 16y + 1)(y
116
− 127y
115
+ ··· − 477y + 2209)
c
6
(y
38
− 14y
37
+ ··· − 20y + 1)
· (y
116
− 73y
115
+ ··· − 7.82 × 10
18
y + 1.57 × 10
17
)
c
8
, c
12
(y
38
+ 26y
37
+ ··· + 22y + 1)
· (y
116
+ 91y
115
+ ··· + 24959611685y + 838855369)
25
