12a
0326
(K12a
0326
)
A knot diagram
1
Linearized knot diagam
3 6 8 11 2 12 4 1 7 5 10 9
Solving Sequence
1,8 4,9
3 2 7 10 12 6 5 11
c
8
c
3
c
1
c
7
c
9
c
12
c
6
c
5
c
11
c
2
, c
4
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h2.14647 × 10
625
u
136
− 1.57204 × 10
626
u
135
+ ··· + 5.04273 × 10
627
b + 2.01485 × 10
628
,
− 9.52837 × 10
628
u
136
+ 5.76897 × 10
629
u
135
+ ··· + 5.60247 × 10
630
a − 2.60191 × 10
633
,
u
137
− 8u
136
+ ··· + 109806u + 32219i
I
u
2
= h969227805421u
29
+ 4997352190301u
28
+ ··· + 7614592375217b − 1781800267381,
− 8214623303611u
29
− 14241638447196u
28
+ ··· + 7614592375217a − 12651568687672,
u
30
+ u
29
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 167 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
= h2.15 × 10
625
u
136
− 1.57 × 10
626
u
135
+ · · · + 5.04 × 10
627
b + 2.01 ×
10
628
, −9.53 × 10
628
u
136
+ 5.77 × 10
629
u
135
+ · · · + 5.60 × 10
630
a − 2.60 ×
10
633
, u
137
− 8u
136
+ · · · + 109806u + 32219i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
4
=
0.0170074u
136
− 0.102972u
135
+ ··· + 1977.46u + 464.422
−0.00425657u
136
+ 0.0311744u
135
+ ··· − 54.0695u − 3.99556
a
9
=
1
u
2
a
3
=
0.0127509u
136
− 0.0717974u
135
+ ··· + 1923.39u + 460.426
−0.00425657u
136
+ 0.0311744u
135
+ ··· − 54.0695u − 3.99556
a
2
=
0.104079u
136
− 0.731582u
135
+ ··· + 5658.43u + 962.800
0.0141435u
136
− 0.160591u
135
+ ··· − 4271.95u − 1197.54
a
7
=
0.0204806u
136
− 0.164745u
135
+ ··· − 957.487u − 341.646
0.0166880u
136
− 0.118460u
135
+ ··· + 830.580u + 151.032
a
10
=
0.154685u
136
− 1.10541u
135
+ ··· + 7925.61u + 1193.45
−0.0228178u
136
+ 0.0717336u
135
+ ··· − 8356.37u − 2109.51
a
12
=
u
u
3
+ u
a
6
=
0.0414287u
136
− 0.278536u
135
+ ··· + 3054.14u + 617.717
0.0316584u
136
− 0.266647u
135
+ ··· − 1739.62u − 622.793
a
5
=
−0.164628u
136
+ 1.24456u
135
+ ··· − 2428.11u + 289.540
0.0406849u
136
− 0.234576u
135
+ ··· + 6901.62u + 1587.49
a
11
=
−0.148430u
136
+ 0.926021u
135
+ ··· − 18759.7u − 4096.98
−0.00521443u
136
+ 0.202164u
135
+ ··· + 12862.6u + 3478.39
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0777998u
136
− 0.574500u
135
+ ··· + 4442.71u + 535.291
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
137
+ 51u
136
+ ··· + 28u + 1
c
2
, c
5
u
137
+ 3u
136
+ ··· − 10u + 1
c
3
, c
7
u
137
+ u
136
+ ··· − 450658u + 20477
c
4
, c
10
u
137
− u
136
+ ··· + 6u
2
+ 1
c
6
u
137
− 2u
136
+ ··· − 4683u + 2473
c
8
, c
12
u
137
− 8u
136
+ ··· + 109806u + 32219
c
9
u
137
+ 16u
136
+ ··· + 3863u + 251
c
11
u
137
− 63u
136
+ ··· − 12u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
137
+ 85y
136
+ ··· − 8004y −1
c
2
, c
5
y
137
− 51y
136
+ ··· + 28y −1
c
3
, c
7
y
137
+ 115y
136
+ ··· − 17103469262y −419307529
c
4
, c
10
y
137
+ 63y
136
+ ··· − 12y −1
c
6
y
137
− 12y
136
+ ··· + 196459991y −6115729
c
8
, c
12
y
137
+ 118y
136
+ ··· + 87908229568y −1038063961
c
9
y
137
− 22y
136
+ ··· + 8590039y −63001
c
11
y
137
+ 39y
136
+ ··· + 44y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.600215 + 0.825884I
a = 0.341214 + 0.182187I
b = 0.0429581 + 0.0446813I
−0.76985 + 2.36523I 0
u = −0.600215 − 0.825884I
a = 0.341214 − 0.182187I
b = 0.0429581 − 0.0446813I
−0.76985 − 2.36523I 0
u = 0.276628 + 0.934882I
a = 0.134951 + 0.863792I
b = −0.754988 − 0.080370I
0.027372 − 1.013400I 0
u = 0.276628 − 0.934882I
a = 0.134951 − 0.863792I
b = −0.754988 + 0.080370I
0.027372 + 1.013400I 0
u = 0.277443 + 1.042560I
a = −0.56568 + 1.72089I
b = 0.509378 − 0.961639I
2.76698 + 4.14223I 0
u = 0.277443 − 1.042560I
a = −0.56568 − 1.72089I
b = 0.509378 + 0.961639I
2.76698 − 4.14223I 0
u = −0.810726 + 0.376962I
a = 0.625383 + 0.386915I
b = 0.719560 − 0.588147I
−4.43117 + 3.80080I 0
u = −0.810726 − 0.376962I
a = 0.625383 − 0.386915I
b = 0.719560 + 0.588147I
−4.43117 − 3.80080I 0
u = 0.405570 + 0.762614I
a = −0.577183 − 0.645655I
b = 0.565672 + 0.632820I
2.17077 − 6.60754I 0
u = 0.405570 − 0.762614I
a = −0.577183 + 0.645655I
b = 0.565672 − 0.632820I
2.17077 + 6.60754I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.480617 + 0.678664I
a = 0.319527 − 0.525767I
b = −0.342427 + 0.558103I
−0.09125 + 2.10745I 0
u = −0.480617 − 0.678664I
a = 0.319527 + 0.525767I
b = −0.342427 − 0.558103I
−0.09125 − 2.10745I 0
u = 0.365595 + 1.115550I
a = −0.320099 − 0.727207I
b = −0.124434 + 0.427629I
3.82283 + 0.95919I 0
u = 0.365595 − 1.115550I
a = −0.320099 + 0.727207I
b = −0.124434 − 0.427629I
3.82283 − 0.95919I 0
u = 1.104240 + 0.401110I
a = 0.113677 − 0.484296I
b = 0.282562 + 1.184250I
3.38915 − 7.43186I 0
u = 1.104240 − 0.401110I
a = 0.113677 + 0.484296I
b = 0.282562 − 1.184250I
3.38915 + 7.43186I 0
u = 0.250630 + 1.162460I
a = −0.58140 + 2.21392I
b = 0.022548 − 1.349140I
5.36671 − 3.68922I 0
u = 0.250630 − 1.162460I
a = −0.58140 − 2.21392I
b = 0.022548 + 1.349140I
5.36671 + 3.68922I 0
u = 0.509415 + 1.076190I
a = 0.524591 + 0.518478I
b = −0.886419 + 0.425051I
−1.57184 − 5.75032I 0
u = 0.509415 − 1.076190I
a = 0.524591 − 0.518478I
b = −0.886419 − 0.425051I
−1.57184 + 5.75032I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.584119 + 1.041150I
a = −0.460558 + 0.276017I
b = 0.676065 + 0.560471I
−2.46994 + 1.25079I 0
u = −0.584119 − 1.041150I
a = −0.460558 − 0.276017I
b = 0.676065 − 0.560471I
−2.46994 − 1.25079I 0
u = −0.144415 + 1.190800I
a = 0.457281 − 0.122460I
b = −1.212230 + 0.285741I
1.47034 + 1.58354I 0
u = −0.144415 − 1.190800I
a = 0.457281 + 0.122460I
b = −1.212230 − 0.285741I
1.47034 − 1.58354I 0
u = −0.753738 + 0.257933I
a = 0.795857 − 0.701646I
b = 0.576601 + 0.874596I
−3.62189 − 1.01410I 0
u = −0.753738 − 0.257933I
a = 0.795857 + 0.701646I
b = 0.576601 − 0.874596I
−3.62189 + 1.01410I 0
u = −0.335437 + 1.157330I
a = 0.25846 + 1.95888I
b = −0.141406 − 0.950478I
0.252574 + 1.080440I 0
u = −0.335437 − 1.157330I
a = 0.25846 − 1.95888I
b = −0.141406 + 0.950478I
0.252574 − 1.080440I 0
u = 0.173074 + 1.196750I
a = −0.613118 − 0.319995I
b = 1.36621 + 0.38306I
3.36982 − 6.59254I 0
u = 0.173074 − 1.196750I
a = −0.613118 + 0.319995I
b = 1.36621 − 0.38306I
3.36982 + 6.59254I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.252583 + 1.193810I
a = −0.48841 + 2.77901I
b = −0.325330 − 1.160690I
0.75973 − 9.92657I 0
u = 0.252583 − 1.193810I
a = −0.48841 − 2.77901I
b = −0.325330 + 1.160690I
0.75973 + 9.92657I 0
u = 0.401665 + 0.667335I
a = −0.191681 − 0.810457I
b = 0.128406 + 0.873969I
3.65193 + 0.66673I 0
u = 0.401665 − 0.667335I
a = −0.191681 + 0.810457I
b = 0.128406 − 0.873969I
3.65193 − 0.66673I 0
u = −0.259460 + 1.196040I
a = 0.33681 + 2.61041I
b = 0.245278 − 1.105050I
−0.75094 + 4.51996I 0
u = −0.259460 − 1.196040I
a = 0.33681 − 2.61041I
b = 0.245278 + 1.105050I
−0.75094 − 4.51996I 0
u = −0.043599 + 1.224900I
a = −0.081497 + 0.491243I
b = −0.773182 + 0.003155I
0.851004 − 0.795140I 0
u = −0.043599 − 1.224900I
a = −0.081497 − 0.491243I
b = −0.773182 − 0.003155I
0.851004 + 0.795140I 0
u = −0.272248 + 1.198580I
a = 1.73020 + 1.65034I
b = 0.246093 − 1.307720I
6.31626 + 8.78487I 0
u = −0.272248 − 1.198580I
a = 1.73020 − 1.65034I
b = 0.246093 + 1.307720I
6.31626 − 8.78487I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.258801 + 1.202340I
a = −1.24707 + 1.88429I
b = −0.356991 − 1.338480I
5.05012 − 5.03282I 0
u = 0.258801 − 1.202340I
a = −1.24707 − 1.88429I
b = −0.356991 + 1.338480I
5.05012 + 5.03282I 0
u = 0.721061 + 0.261174I
a = −0.765255 + 0.337826I
b = −0.857391 − 0.405574I
−3.95395 + 1.20522I 0
u = 0.721061 − 0.261174I
a = −0.765255 − 0.337826I
b = −0.857391 + 0.405574I
−3.95395 − 1.20522I 0
u = −0.212759 + 1.219960I
a = 0.39889 + 2.02793I
b = 0.61084 − 1.77061I
7.76381 + 1.99463I 0
u = −0.212759 − 1.219960I
a = 0.39889 − 2.02793I
b = 0.61084 + 1.77061I
7.76381 − 1.99463I 0
u = −0.286333 + 1.210290I
a = 1.61945 + 0.94113I
b = 0.169209 − 1.077120I
6.76255 + 2.94842I 0
u = −0.286333 − 1.210290I
a = 1.61945 − 0.94113I
b = 0.169209 + 1.077120I
6.76255 − 2.94842I 0
u = 0.243282 + 1.224860I
a = −0.64177 + 1.67068I
b = −0.60807 − 1.39180I
5.39433 − 5.32907I 0
u = 0.243282 − 1.224860I
a = −0.64177 − 1.67068I
b = −0.60807 + 1.39180I
5.39433 + 5.32907I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.699243 + 0.265046I
a = −0.902246 − 0.458831I
b = −0.627171 + 1.038880I
−2.08258 + 6.56291I 0
u = 0.699243 − 0.265046I
a = −0.902246 + 0.458831I
b = −0.627171 − 1.038880I
−2.08258 − 6.56291I 0
u = 0.133455 + 1.251360I
a = 0.084175 − 0.523657I
b = 0.895480 + 0.648314I
6.23673 + 0.17961I 0
u = 0.133455 − 1.251360I
a = 0.084175 + 0.523657I
b = 0.895480 − 0.648314I
6.23673 − 0.17961I 0
u = −0.221879 + 1.250790I
a = 0.11965 + 1.70945I
b = 1.01410 − 1.57896I
7.61960 + 8.66163I 0
u = −0.221879 − 1.250790I
a = 0.11965 − 1.70945I
b = 1.01410 + 1.57896I
7.61960 − 8.66163I 0
u = 0.301681 + 1.242530I
a = −0.725555 + 0.385722I
b = −0.484597 − 0.574971I
5.79279 − 5.78435I 0
u = 0.301681 − 1.242530I
a = −0.725555 − 0.385722I
b = −0.484597 + 0.574971I
5.79279 + 5.78435I 0
u = −0.063134 + 1.281760I
a = −1.23684 − 2.14792I
b = −0.011264 + 1.216080I
8.36571 − 4.84327I 0
u = −0.063134 − 1.281760I
a = −1.23684 + 2.14792I
b = −0.011264 − 1.216080I
8.36571 + 4.84327I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.134330 + 0.617531I
a = −0.127196 − 0.486382I
b = −0.126525 + 1.070720I
0.54578 + 1.90911I 0
u = −1.134330 − 0.617531I
a = −0.127196 + 0.486382I
b = −0.126525 − 1.070720I
0.54578 − 1.90911I 0
u = 0.275113 + 1.263970I
a = −0.281993 + 0.830321I
b = −0.913446 − 0.799643I
5.75402 − 5.70433I 0
u = 0.275113 − 1.263970I
a = −0.281993 − 0.830321I
b = −0.913446 + 0.799643I
5.75402 + 5.70433I 0
u = 0.069435 + 1.294050I
a = 0.579558 + 0.665158I
b = 0.445851 − 0.025283I
2.09940 + 6.03519I 0
u = 0.069435 − 1.294050I
a = 0.579558 − 0.665158I
b = 0.445851 + 0.025283I
2.09940 − 6.03519I 0
u = −0.026064 + 1.295990I
a = −0.48548 − 2.61453I
b = −0.008508 + 1.375680I
9.41866 + 1.21222I 0
u = −0.026064 − 1.295990I
a = −0.48548 + 2.61453I
b = −0.008508 − 1.375680I
9.41866 − 1.21222I 0
u = 0.081715 + 1.302440I
a = 0.81523 − 1.72233I
b = 0.201606 + 1.228170I
6.74367 + 0.78269I 0
u = 0.081715 − 1.302440I
a = 0.81523 + 1.72233I
b = 0.201606 − 1.228170I
6.74367 − 0.78269I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.297150 + 0.204185I
a = −0.219346 + 0.377698I
b = −0.388633 − 1.344330I
2.21246 − 12.85340I 0
u = 1.297150 − 0.204185I
a = −0.219346 − 0.377698I
b = −0.388633 + 1.344330I
2.21246 + 12.85340I 0
u = −0.677201 + 0.041589I
a = 0.80512 − 1.49239I
b = 0.677223 + 0.180341I
−3.72494 + 3.01705I −13.21532 − 1.96138I
u = −0.677201 − 0.041589I
a = 0.80512 + 1.49239I
b = 0.677223 − 0.180341I
−3.72494 − 3.01705I −13.21532 + 1.96138I
u = 0.117160 + 1.322660I
a = 0.37918 − 1.50554I
b = 0.49170 + 1.36391I
6.72024 + 0.53681I 0
u = 0.117160 − 1.322660I
a = 0.37918 + 1.50554I
b = 0.49170 − 1.36391I
6.72024 − 0.53681I 0
u = −0.161042 + 1.342350I
a = −0.05597 − 1.61600I
b = −0.80150 + 1.70452I
8.26014 + 3.01778I 0
u = −0.161042 − 1.342350I
a = −0.05597 + 1.61600I
b = −0.80150 − 1.70452I
8.26014 − 3.01778I 0
u = −0.407256 + 1.294530I
a = 0.026183 − 0.389081I
b = 0.680029 + 0.369673I
1.35104 + 3.81155I 0
u = −0.407256 − 1.294530I
a = 0.026183 + 0.389081I
b = 0.680029 − 0.369673I
1.35104 − 3.81155I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.610534 + 0.186046I
a = 0.445388 + 0.957310I
b = −0.03359 + 1.41643I
3.24778 − 5.49829I −5.00006 + 6.13472I
u = −0.610534 − 0.186046I
a = 0.445388 − 0.957310I
b = −0.03359 − 1.41643I
3.24778 + 5.49829I −5.00006 − 6.13472I
u = 0.286945 + 1.332370I
a = 0.527188 + 0.317971I
b = −1.57004 − 0.11173I
2.31371 − 11.85850I 0
u = 0.286945 − 1.332370I
a = 0.527188 − 0.317971I
b = −1.57004 + 0.11173I
2.31371 + 11.85850I 0
u = −0.306302 + 1.331350I
a = −0.395801 + 0.146440I
b = 1.368200 + 0.027238I
0.67456 + 6.63501I 0
u = −0.306302 − 1.331350I
a = −0.395801 − 0.146440I
b = 1.368200 − 0.027238I
0.67456 − 6.63501I 0
u = 0.626514 + 0.050151I
a = −0.84200 − 1.70554I
b = −0.811167 + 0.011205I
−2.10741 − 8.46095I −10.29053 + 6.92192I
u = 0.626514 − 0.050151I
a = −0.84200 + 1.70554I
b = −0.811167 − 0.011205I
−2.10741 + 8.46095I −10.29053 − 6.92192I
u = 0.583255 + 0.219848I
a = −0.316978 + 0.624569I
b = −0.166804 + 1.320420I
2.04697 + 1.89378I −8.30712 + 0.I
u = 0.583255 − 0.219848I
a = −0.316978 − 0.624569I
b = −0.166804 − 1.320420I
2.04697 − 1.89378I −8.30712 + 0.I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.606620 + 0.139527I
a = 0.267987 + 1.177840I
b = −0.266261 + 1.165630I
3.51581 + 0.39606I −4.02934 − 2.78608I
u = −0.606620 − 0.139527I
a = 0.267987 − 1.177840I
b = −0.266261 − 1.165630I
3.51581 − 0.39606I −4.02934 + 2.78608I
u = −0.157220 + 1.386930I
a = −0.20262 − 1.78566I
b = −0.43911 + 2.00856I
8.39206 − 2.84568I 0
u = −0.157220 − 1.386930I
a = −0.20262 + 1.78566I
b = −0.43911 − 2.00856I
8.39206 + 2.84568I 0
u = −1.365400 + 0.316476I
a = 0.260102 + 0.452500I
b = 0.343139 − 1.221160I
−0.43097 + 6.85078I 0
u = −1.365400 − 0.316476I
a = 0.260102 − 0.452500I
b = 0.343139 + 1.221160I
−0.43097 − 6.85078I 0
u = 0.583549 + 0.102512I
a = −0.136693 − 0.917007I
b = 0.696924 + 0.132143I
0.25747 + 3.83112I −5.71601 − 2.49405I
u = 0.583549 − 0.102512I
a = −0.136693 + 0.917007I
b = 0.696924 − 0.132143I
0.25747 − 3.83112I −5.71601 + 2.49405I
u = −0.531137 + 0.228329I
a = 0.154180 − 0.733272I
b = −0.525007 + 0.334915I
−1.23027 + 0.80713I −8.01143 − 3.82200I
u = −0.531137 − 0.228329I
a = 0.154180 + 0.733272I
b = −0.525007 − 0.334915I
−1.23027 − 0.80713I −8.01143 + 3.82200I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.13412 + 1.42109I
a = 0.27480 − 1.72876I
b = 0.12100 + 1.91232I
7.51590 − 0.56584I 0
u = 0.13412 − 1.42109I
a = 0.27480 + 1.72876I
b = 0.12100 − 1.91232I
7.51590 + 0.56584I 0
u = 0.562181 + 0.080157I
a = −0.292233 + 1.307150I
b = 0.176536 + 0.354661I
2.25523 + 2.39599I −5.21005 − 3.82646I
u = 0.562181 − 0.080157I
a = −0.292233 − 1.307150I
b = 0.176536 − 0.354661I
2.25523 − 2.39599I −5.21005 + 3.82646I
u = 0.528989 + 0.104664I
a = 0.091902 + 1.360790I
b = −0.204011 + 0.867265I
2.14967 + 2.60628I −6.80056 − 4.70746I
u = 0.528989 − 0.104664I
a = 0.091902 − 1.360790I
b = −0.204011 − 0.867265I
2.14967 − 2.60628I −6.80056 + 4.70746I
u = 0.488642 + 0.156091I
a = 0.419703 + 1.008160I
b = −0.258118 + 1.102630I
2.13489 + 2.49230I −4.55425 − 3.52768I
u = 0.488642 − 0.156091I
a = 0.419703 − 1.008160I
b = −0.258118 − 1.102630I
2.13489 − 2.49230I −4.55425 + 3.52768I
u = 0.41429 + 1.47620I
a = 0.42248 − 1.73952I
b = 0.47672 + 1.49807I
9.2931 − 12.6983I 0
u = 0.41429 − 1.47620I
a = 0.42248 + 1.73952I
b = 0.47672 − 1.49807I
9.2931 + 12.6983I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.39699 + 1.49928I
a = −0.36502 − 1.66962I
b = −0.43485 + 1.44199I
7.01641 + 7.09040I 0
u = −0.39699 − 1.49928I
a = −0.36502 + 1.66962I
b = −0.43485 − 1.44199I
7.01641 − 7.09040I 0
u = −0.355655 + 0.220235I
a = −1.377970 + 0.136306I
b = 0.278145 + 1.313290I
4.69066 + 0.36597I −1.30932 − 2.96621I
u = −0.355655 − 0.220235I
a = −1.377970 − 0.136306I
b = 0.278145 − 1.313290I
4.69066 − 0.36597I −1.30932 + 2.96621I
u = 0.53308 + 1.49033I
a = −0.57763 + 1.58115I
b = −0.61304 − 1.52807I
7.5580 − 19.2157I 0
u = 0.53308 − 1.49033I
a = −0.57763 − 1.58115I
b = −0.61304 + 1.52807I
7.5580 + 19.2157I 0
u = −0.401352 + 0.098657I
a = −1.27049 + 1.55407I
b = 0.491752 + 1.200300I
4.07486 − 6.17462I −2.84721 + 7.18816I
u = −0.401352 − 0.098657I
a = −1.27049 − 1.55407I
b = 0.491752 − 1.200300I
4.07486 + 6.17462I −2.84721 − 7.18816I
u = −0.53092 + 1.51520I
a = 0.53811 + 1.52732I
b = 0.59065 − 1.44238I
5.2569 + 13.3633I 0
u = −0.53092 − 1.51520I
a = 0.53811 − 1.52732I
b = 0.59065 + 1.44238I
5.2569 − 13.3633I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.45204 + 1.54813I
a = 0.47060 − 1.51549I
b = 0.30697 + 1.48878I
12.88360 − 4.10984I 0
u = 0.45204 − 1.54813I
a = 0.47060 + 1.51549I
b = 0.30697 − 1.48878I
12.88360 + 4.10984I 0
u = −0.01080 + 1.62519I
a = 0.022968 − 1.374860I
b = −0.182649 + 1.339380I
4.75904 + 2.79200I 0
u = −0.01080 − 1.62519I
a = 0.022968 + 1.374860I
b = −0.182649 − 1.339380I
4.75904 − 2.79200I 0
u = 0.59925 + 1.52996I
a = −0.61806 + 1.40369I
b = −0.40324 − 1.42797I
11.6217 − 10.1999I 0
u = 0.59925 − 1.52996I
a = −0.61806 − 1.40369I
b = −0.40324 + 1.42797I
11.6217 + 10.1999I 0
u = 1.63472 + 0.19652I
a = −0.021975 − 0.544479I
b = −0.059158 + 1.259790I
6.62314 + 2.60802I 0
u = 1.63472 − 0.19652I
a = −0.021975 + 0.544479I
b = −0.059158 − 1.259790I
6.62314 − 2.60802I 0
u = 1.05809 + 1.50494I
a = −0.539942 + 0.960179I
b = −0.113754 − 1.134000I
5.75951 − 0.22579I 0
u = 1.05809 − 1.50494I
a = −0.539942 − 0.960179I
b = −0.113754 + 1.134000I
5.75951 + 0.22579I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.136913
a = 3.87210
b = −0.411336
−0.911004 −11.2840
u = −0.15252 + 1.86735I
a = −0.106104 − 1.238710I
b = −0.232113 + 1.275320I
4.81891 + 2.74844I 0
u = −0.15252 − 1.86735I
a = −0.106104 + 1.238710I
b = −0.232113 − 1.275320I
4.81891 − 2.74844I 0
u = −0.62929 + 1.84278I
a = 0.401169 + 1.219110I
b = 0.321940 − 1.106760I
3.49212 + 7.61632I 0
u = −0.62929 − 1.84278I
a = 0.401169 − 1.219110I
b = 0.321940 + 1.106760I
3.49212 − 7.61632I 0
u = 0.89716 + 1.80883I
a = 0.373769 − 0.969692I
b = 0.023776 + 1.291180I
6.14734 + 4.75780I 0
u = 0.89716 − 1.80883I
a = 0.373769 + 0.969692I
b = 0.023776 − 1.291180I
6.14734 − 4.75780I 0
18
II.
I
u
2
= h9.69×10
11
u
29
+5.00×10
12
u
28
+· · ·+7.61×10
12
b−1.78×10
12
, −8.21×
10
12
u
29
−1.42×10
13
u
28
+· · ·+7.61×10
12
a−1.27×10
13
, u
30
+u
29
+· · ·+2u+1i
(i) Arc colorings
a
1
=
0
u
a
8
=
1
0
a
4
=
1.07880u
29
+ 1.87031u
28
+ ··· + 6.98066u + 1.66149
−0.127286u
29
− 0.656286u
28
+ ··· + 0.815661u + 0.233998
a
9
=
1
u
2
a
3
=
0.951515u
29
+ 1.21402u
28
+ ··· + 7.79632u + 1.89549
−0.127286u
29
− 0.656286u
28
+ ··· + 0.815661u + 0.233998
a
2
=
1.44977u
29
+ 2.25417u
28
+ ··· + 1.57036u + 1.19725
0.562682u
29
− 0.508894u
28
+ ··· + 1.00766u − 0.00613589
a
7
=
0.0685465u
29
+ 0.841396u
28
+ ··· − 3.15609u + 0.792779
−0.0624106u
29
− 0.272578u
28
+ ··· − 0.614245u + 0.227151
a
10
=
−1.11775u
29
− 1.10749u
28
+ ··· + 2.05886u + 0.217486
−0.950793u
29
− 0.733908u
28
+ ··· + 0.0972228u − 0.0102653
a
12
=
u
u
3
+ u
a
6
=
0.00613589u
29
+ 0.568818u
28
+ ··· − 3.77033u + 0.0199295
−0.133986u
29
− 0.526835u
28
+ ··· − 0.745745u − 0.335531
a
5
=
−0.674226u
29
− 1.48426u
28
+ ··· − 2.30183u − 1.76154
−1.13330u
29
− 0.127945u
28
+ ··· + 1.56908u + 0.852693
a
11
=
−2.15067u
29
− 0.761822u
28
+ ··· + 0.354677u + 2.80358
−0.875503u
29
+ 0.178922u
28
+ ··· + 2.30824u + 0.938891
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
26703140571941
7614592375217
u
29
−
13681643041353
7614592375217
u
28
+ ··· −
89568892795504
7614592375217
u −
22427593702390
7614592375217
19
(iv) u-Polynomials at the component
20
Crossings u-Polynomials at each crossing
c
1
u
30
− 14u
29
+ ··· − 14u + 1
c
2
u
30
+ 2u
29
+ ··· + 2u + 1
c
3
u
30
+ 16u
28
+ ··· − 4u + 1
c
4
u
30
+ 8u
28
+ ··· + 2u + 1
c
5
u
30
− 2u
29
+ ··· − 2u + 1
c
6
u
30
− u
29
+ ··· + 7u + 1
c
7
u
30
+ 16u
28
+ ··· + 4u + 1
c
8
u
30
+ u
29
+ ··· + 2u + 1
c
9
u
30
− 3u
29
+ ··· + u + 1
c
10
u
30
+ 8u
28
+ ··· − 2u + 1
c
11
u
30
− 16u
29
+ ··· − 18u + 1
c
12
u
30
− u
29
+ ··· − 2u + 1
21
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
30
+ 18y
29
+ ··· + 2y + 1
c
2
, c
5
y
30
− 14y
29
+ ··· − 14y + 1
c
3
, c
7
y
30
+ 32y
29
+ ··· + 12y + 1
c
4
, c
10
y
30
+ 16y
29
+ ··· + 18y + 1
c
6
y
30
+ y
29
+ ··· − 9y + 1
c
8
, c
12
y
30
+ 31y
29
+ ··· + 14y + 1
c
9
y
30
− 5y
29
+ ··· − 9y + 1
c
11
y
30
+ 12y
29
+ ··· − 38y + 1
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.522006 + 0.878409I
a = 0.174524 + 0.362277I
b = −0.522395 + 0.106070I
−1.12493 − 2.08959I −12.37329 − 0.45284I
u = 0.522006 − 0.878409I
a = 0.174524 − 0.362277I
b = −0.522395 − 0.106070I
−1.12493 + 2.08959I −12.37329 + 0.45284I
u = 0.580502 + 0.781634I
a = 0.079977 + 1.110490I
b = −0.285710 − 0.369681I
−1.07088 − 1.66964I −11.34892 + 3.37717I
u = 0.580502 − 0.781634I
a = 0.079977 − 1.110490I
b = −0.285710 + 0.369681I
−1.07088 + 1.66964I −11.34892 − 3.37717I
u = −0.658892 + 0.867526I
a = 0.885371 + 0.771691I
b = 0.202700 − 1.246440I
5.43916 + 1.20569I −0.29178 − 2.33340I
u = −0.658892 − 0.867526I
a = 0.885371 − 0.771691I
b = 0.202700 + 1.246440I
5.43916 − 1.20569I −0.29178 + 2.33340I
u = −0.254757 + 1.119880I
a = 1.13436 + 1.30510I
b = 0.498455 − 1.314340I
6.31642 + 7.63327I −0.18303 − 5.98526I
u = −0.254757 − 1.119880I
a = 1.13436 − 1.30510I
b = 0.498455 + 1.314340I
6.31642 − 7.63327I −0.18303 + 5.98526I
u = −0.396608 + 0.740773I
a = −0.716956 + 1.131870I
b = 0.700342 − 0.546826I
1.64081 + 6.14083I −8.20173 − 4.13767I
u = −0.396608 − 0.740773I
a = −0.716956 − 1.131870I
b = 0.700342 + 0.546826I
1.64081 − 6.14083I −8.20173 + 4.13767I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.346961 + 0.722605I
a = −1.44663 + 0.62621I
b = 0.239582 + 0.412642I
−2.17581 − 3.16922I −7.99099 + 3.11007I
u = 0.346961 − 0.722605I
a = −1.44663 − 0.62621I
b = 0.239582 − 0.412642I
−2.17581 + 3.16922I −7.99099 − 3.11007I
u = 0.201907 + 1.189600I
a = −1.05036 + 1.50279I
b = −0.569953 − 1.224480I
5.61608 − 4.26764I − 70.0956014 + 0.10I
u = 0.201907 − 1.189600I
a = −1.05036 − 1.50279I
b = −0.569953 + 1.224480I
5.61608 + 4.26764I − 70.0956014 + 0.10I
u = −0.217304 + 0.711721I
a = 1.93148 + 0.80426I
b = −0.405710 + 0.552639I
−0.49937 + 8.34773I −4.55245 − 7.24511I
u = −0.217304 − 0.711721I
a = 1.93148 − 0.80426I
b = −0.405710 − 0.552639I
−0.49937 − 8.34773I −4.55245 + 7.24511I
u = −0.115006 + 1.298860I
a = −0.43331 − 1.95090I
b = −0.12479 + 1.72136I
8.05808 + 1.30972I 1.85659 − 2.62857I
u = −0.115006 − 1.298860I
a = −0.43331 + 1.95090I
b = −0.12479 − 1.72136I
8.05808 − 1.30972I 1.85659 + 2.62857I
u = 0.035132 + 1.337570I
a = 0.11366 − 1.91500I
b = 0.29046 + 1.74271I
7.87534 + 1.73167I 0.51091 − 3.18280I
u = 0.035132 − 1.337570I
a = 0.11366 + 1.91500I
b = 0.29046 − 1.74271I
7.87534 − 1.73167I 0.51091 + 3.18280I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.62944 + 1.34305I
a = −0.624614 − 1.011460I
b = 0.021709 + 1.356000I
5.89793 − 4.22625I −1.34831 + 2.43844I
u = −0.62944 − 1.34305I
a = −0.624614 + 1.011460I
b = 0.021709 − 1.356000I
5.89793 + 4.22625I −1.34831 − 2.43844I
u = 0.259808 + 0.366084I
a = 1.53491 + 1.37268I
b = −0.190414 + 1.069450I
3.03572 + 2.17126I 1.83066 − 2.11907I
u = 0.259808 − 0.366084I
a = 1.53491 − 1.37268I
b = −0.190414 − 1.069450I
3.03572 − 2.17126I 1.83066 + 2.11907I
u = −0.319221 + 0.222101I
a = −0.08687 + 2.98534I
b = 0.182935 − 0.889900I
3.51917 − 1.85555I 0.05388 + 3.21427I
u = −0.319221 − 0.222101I
a = −0.08687 − 2.98534I
b = 0.182935 + 0.889900I
3.51917 + 1.85555I 0.05388 − 3.21427I
u = 0.29140 + 1.59039I
a = −0.51828 + 1.34005I
b = −0.370825 − 1.018460I
3.45327 − 7.01722I 0
u = 0.29140 − 1.59039I
a = −0.51828 − 1.34005I
b = −0.370825 + 1.018460I
3.45327 + 7.01722I 0
u = −0.14649 + 1.81277I
a = 0.022740 − 1.200550I
b = 0.333614 + 1.259170I
5.01198 − 2.43840I 0
u = −0.14649 − 1.81277I
a = 0.022740 + 1.200550I
b = 0.333614 − 1.259170I
5.01198 + 2.43840I 0
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
30
− 14u
29
+ ··· − 14u + 1)(u
137
+ 51u
136
+ ··· + 28u + 1)
c
2
(u
30
+ 2u
29
+ ··· + 2u + 1)(u
137
+ 3u
136
+ ··· − 10u + 1)
c
3
(u
30
+ 16u
28
+ ··· − 4u + 1)(u
137
+ u
136
+ ··· − 450658u + 20477)
c
4
(u
30
+ 8u
28
+ ··· + 2u + 1)(u
137
− u
136
+ ··· + 6u
2
+ 1)
c
5
(u
30
− 2u
29
+ ··· − 2u + 1)(u
137
+ 3u
136
+ ··· − 10u + 1)
c
6
(u
30
− u
29
+ ··· + 7u + 1)(u
137
− 2u
136
+ ··· − 4683u + 2473)
c
7
(u
30
+ 16u
28
+ ··· + 4u + 1)(u
137
+ u
136
+ ··· − 450658u + 20477)
c
8
(u
30
+ u
29
+ ··· + 2u + 1)(u
137
− 8u
136
+ ··· + 109806u + 32219)
c
9
(u
30
− 3u
29
+ ··· + u + 1)(u
137
+ 16u
136
+ ··· + 3863u + 251)
c
10
(u
30
+ 8u
28
+ ··· − 2u + 1)(u
137
− u
136
+ ··· + 6u
2
+ 1)
c
11
(u
30
− 16u
29
+ ··· − 18u + 1)(u
137
− 63u
136
+ ··· − 12u + 1)
c
12
(u
30
− u
29
+ ··· − 2u + 1)(u
137
− 8u
136
+ ··· + 109806u + 32219)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
30
+ 18y
29
+ ··· + 2y + 1)(y
137
+ 85y
136
+ ··· − 8004y −1)
c
2
, c
5
(y
30
− 14y
29
+ ··· − 14y + 1)(y
137
− 51y
136
+ ··· + 28y −1)
c
3
, c
7
(y
30
+ 32y
29
+ ··· + 12y + 1)
· (y
137
+ 115y
136
+ ··· − 17103469262y −419307529)
c
4
, c
10
(y
30
+ 16y
29
+ ··· + 18y + 1)(y
137
+ 63y
136
+ ··· − 12y −1)
c
6
(y
30
+ y
29
+ ··· − 9y + 1)
· (y
137
− 12y
136
+ ··· + 196459991y −6115729)
c
8
, c
12
(y
30
+ 31y
29
+ ··· + 14y + 1)
· (y
137
+ 118y
136
+ ··· + 87908229568y −1038063961)
c
9
(y
30
− 5y
29
+ ··· − 9y + 1)(y
137
− 22y
136
+ ··· + 8590039y −63001)
c
11
(y
30
+ 12y
29
+ ··· − 38y + 1)(y
137
+ 39y
136
+ ··· + 44y −1)
28
