12a
1185
(K12a
1185
)
A knot diagram
1
Linearized knot diagam
4 10 9 11 2 3 12 1 6 5 8 7
Solving Sequence
8,12
7
1,4
2 9 3 6 11 5 10
c
7
c
12
c
1
c
8
c
3
c
6
c
11
c
4
c
10
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h1.11343 × 10
206
u
141
+ 7.40241 × 10
206
u
140
+ ··· + 6.56549 × 10
206
b + 6.12514 × 10
208
,
− 3.17039 × 10
208
u
141
+ 3.40884 × 10
208
u
140
+ ··· + 1.24744 × 10
208
a − 7.01718 × 10
209
,
u
142
+ 65u
140
+ ··· + 79u + 19i
I
u
2
= h−4u
24
+ 2u
23
+ ··· + b + 3, −16u
24
− 7u
23
+ ··· + a + 47, u
25
+ u
24
+ ··· − 4u − 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
= h1.11 × 10
206
u
141
+ 7.40 × 10
206
u
140
+ · · · + 6.57 × 10
206
b + 6.13 ×
10
208
, −3.17 × 10
208
u
141
+ 3.41 × 10
208
u
140
+ · · · + 1.25 × 10
208
a − 7.02 ×
10
209
, u
142
+ 65u
140
+ · · · + 79u + 19i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
7
=
1
−u
2
a
1
=
−u
u
3
+ u
a
4
=
2.54151u
141
− 2.73266u
140
+ ··· + 76.5272u + 56.2525
−0.169589u
141
− 1.12747u
140
+ ··· − 204.010u − 93.2930
a
2
=
−2.43322u
141
+ 2.31831u
140
+ ··· − 72.4795u − 23.3362
−1.75719u
141
+ 2.11532u
140
+ ··· − 21.2865u − 16.5595
a
9
=
−u
4
− u
2
+ 1
u
6
+ 2u
4
+ u
2
a
3
=
4.10649u
141
− 2.52027u
140
+ ··· + 221.136u + 119.028
0.548199u
141
− 0.503020u
140
+ ··· − 122.486u − 62.6947
a
6
=
−0.928942u
141
+ 1.82621u
140
+ ··· + 99.1463u + 52.5504
−3.13792u
141
+ 2.98162u
140
+ ··· − 61.4178u − 37.8642
a
11
=
u
u
a
5
=
4.82524u
141
− 3.49571u
140
+ ··· + 151.827u + 86.7511
2.11414u
141
− 1.89052u
140
+ ··· − 128.710u − 62.7943
a
10
=
8.26655u
141
− 4.17721u
140
+ ··· + 448.015u + 186.893
2.46556u
141
− 2.77177u
140
+ ··· − 192.455u − 99.7949
(ii) Obstruction class = −1
(iii) Cusp Shapes = 198.235u
141
− 76.2003u
140
+ ··· + 18676.8u + 8619.47
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
142
+ 3u
141
+ ··· + 25660u + 1552
c
2
u
142
− 3u
141
+ ··· + 3363u − 9621
c
3
u
142
− u
141
+ ··· + 20522u − 1087
c
4
, c
10
u
142
− u
141
+ ··· − 39669u − 8231
c
5
u
142
− 2u
141
+ ··· − 22u + 1
c
6
u
142
− 4u
141
+ ··· − 13583u − 2209
c
7
, c
11
, c
12
u
142
+ 65u
140
+ ··· + 79u + 19
c
8
u
142
− 5u
139
+ ··· − 918747u + 290111
c
9
u
142
− 5u
141
+ ··· − 30u − 4
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
142
+ 9y
141
+ ··· − 198506608y + 2408704
c
2
y
142
+ 33y
141
+ ··· + 5619168819y + 92563641
c
3
y
142
+ 7y
141
+ ··· − 23640932y + 1181569
c
4
, c
10
y
142
+ 91y
141
+ ··· + 2568604727y + 67749361
c
5
y
142
+ 22y
141
+ ··· − 108y + 1
c
6
y
142
− 8y
141
+ ··· − 159226929y + 4879681
c
7
, c
11
, c
12
y
142
+ 130y
141
+ ··· − 3391y + 361
c
8
y
142
+ 48y
140
+ ··· + 676166821071y + 84164392321
c
9
y
142
+ y
141
+ ··· + 308y + 16
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.174055 + 0.972792I
a = 1.13546 + 1.26631I
b = 0.213062 + 1.135370I
0.15417 + 3.00552I 0
u = −0.174055 − 0.972792I
a = 1.13546 − 1.26631I
b = 0.213062 − 1.135370I
0.15417 − 3.00552I 0
u = −0.576373 + 0.859061I
a = −0.899351 + 0.405170I
b = −0.043856 − 0.230883I
3.29168 − 0.88987I 0
u = −0.576373 − 0.859061I
a = −0.899351 − 0.405170I
b = −0.043856 + 0.230883I
3.29168 + 0.88987I 0
u = −0.356081 + 0.885492I
a = 0.090876 − 1.372330I
b = 0.234041 − 0.386315I
−1.57123 + 4.66450I 0
u = −0.356081 − 0.885492I
a = 0.090876 + 1.372330I
b = 0.234041 + 0.386315I
−1.57123 − 4.66450I 0
u = 0.337165 + 0.880232I
a = −0.44299 − 1.50054I
b = −0.847248 − 0.424499I
−1.57542 + 5.20147I 0
u = 0.337165 − 0.880232I
a = −0.44299 + 1.50054I
b = −0.847248 + 0.424499I
−1.57542 − 5.20147I 0
u = −0.511808 + 0.786498I
a = 1.21144 − 1.10273I
b = 0.292622 + 0.143049I
2.74351 − 10.79950I 0
u = −0.511808 − 0.786498I
a = 1.21144 + 1.10273I
b = 0.292622 − 0.143049I
2.74351 + 10.79950I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.533098 + 0.756555I
a = −0.943932 − 0.943336I
b = −0.172542 + 0.320177I
4.17740 + 2.66753I 0
u = 0.533098 − 0.756555I
a = −0.943932 + 0.943336I
b = −0.172542 − 0.320177I
4.17740 − 2.66753I 0
u = −0.841285 + 0.306784I
a = 0.213661 + 0.256949I
b = 0.804634 − 0.897367I
1.57602 + 5.81227I 0
u = −0.841285 − 0.306784I
a = 0.213661 − 0.256949I
b = 0.804634 + 0.897367I
1.57602 − 5.81227I 0
u = −0.345187 + 1.051640I
a = −1.67103 + 0.42473I
b = −0.713812 − 0.123338I
1.77024 − 1.80840I 0
u = −0.345187 − 1.051640I
a = −1.67103 − 0.42473I
b = −0.713812 + 0.123338I
1.77024 + 1.80840I 0
u = −0.068764 + 1.137420I
a = −0.06703 + 2.34760I
b = −0.65565 + 1.99120I
−0.781789 + 0.146833I 0
u = −0.068764 − 1.137420I
a = −0.06703 − 2.34760I
b = −0.65565 − 1.99120I
−0.781789 − 0.146833I 0
u = −0.795014 + 0.304336I
a = −0.230248 − 0.310817I
b = −1.42055 + 1.02178I
1.1763 + 15.3660I 0
u = −0.795014 − 0.304336I
a = −0.230248 + 0.310817I
b = −1.42055 − 1.02178I
1.1763 − 15.3660I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.786923 + 0.312206I
a = 0.018638 − 0.341669I
b = 1.27663 + 0.91277I
2.72275 − 7.22715I 0
u = 0.786923 − 0.312206I
a = 0.018638 + 0.341669I
b = 1.27663 − 0.91277I
2.72275 + 7.22715I 0
u = 0.844094 + 0.041958I
a = 0.040538 + 0.442418I
b = 0.519571 − 0.757023I
−2.06705 + 5.32893I 0
u = 0.844094 − 0.041958I
a = 0.040538 − 0.442418I
b = 0.519571 + 0.757023I
−2.06705 − 5.32893I 0
u = −0.782943 + 0.220151I
a = 0.013266 − 0.208503I
b = −1.158200 + 0.084694I
−3.70212 − 0.47486I 0
u = −0.782943 − 0.220151I
a = 0.013266 + 0.208503I
b = −1.158200 − 0.084694I
−3.70212 + 0.47486I 0
u = 0.235609 + 1.170740I
a = 0.130480 − 0.364998I
b = 0.390627 + 0.025420I
1.54848 + 0.94593I 0
u = 0.235609 − 1.170740I
a = 0.130480 + 0.364998I
b = 0.390627 − 0.025420I
1.54848 − 0.94593I 0
u = 0.412086 + 1.126510I
a = 0.461038 − 1.157240I
b = −0.582522 − 1.088710I
1.26907 − 9.81961I 0
u = 0.412086 − 1.126510I
a = 0.461038 + 1.157240I
b = −0.582522 + 1.088710I
1.26907 + 9.81961I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.254377 + 1.176850I
a = 0.003247 − 1.401810I
b = 0.773222 − 0.895144I
2.22220 + 2.62980I 0
u = −0.254377 − 1.176850I
a = 0.003247 + 1.401810I
b = 0.773222 + 0.895144I
2.22220 − 2.62980I 0
u = 0.219631 + 1.185970I
a = 1.04945 + 1.66768I
b = 1.30300 + 1.28806I
−1.29585 − 1.11745I 0
u = 0.219631 − 1.185970I
a = 1.04945 − 1.66768I
b = 1.30300 − 1.28806I
−1.29585 + 1.11745I 0
u = 0.759399 + 0.228128I
a = 0.022365 + 0.314814I
b = 1.53675 + 0.03121I
−3.65601 − 9.26795I 0
u = 0.759399 − 0.228128I
a = 0.022365 − 0.314814I
b = 1.53675 − 0.03121I
−3.65601 + 9.26795I 0
u = −0.761357 + 0.167439I
a = 0.447181 + 0.166476I
b = 1.19140 − 1.30202I
−0.90067 + 5.85726I 0
u = −0.761357 − 0.167439I
a = 0.447181 − 0.166476I
b = 1.19140 + 1.30202I
−0.90067 − 5.85726I 0
u = 0.409078 + 1.164650I
a = −0.442972 + 0.154483I
b = 0.137302 + 0.558531I
1.71521 + 0.89999I 0
u = 0.409078 − 1.164650I
a = −0.442972 − 0.154483I
b = 0.137302 − 0.558531I
1.71521 − 0.89999I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.645504 + 0.408312I
a = −0.209626 + 0.955204I
b = −0.996395 − 0.051955I
−1.63352 − 2.00241I 0
u = 0.645504 − 0.408312I
a = −0.209626 − 0.955204I
b = −0.996395 + 0.051955I
−1.63352 + 2.00241I 0
u = 0.265669 + 0.715458I
a = 1.51827 + 1.21207I
b = 0.438576 + 0.389675I
0.36527 + 2.98078I 0
u = 0.265669 − 0.715458I
a = 1.51827 − 1.21207I
b = 0.438576 − 0.389675I
0.36527 − 2.98078I 0
u = 0.717874 + 0.255264I
a = −0.522373 + 0.071194I
b = −1.46414 − 1.04875I
−1.33895 − 6.73506I 0
u = 0.717874 − 0.255264I
a = −0.522373 − 0.071194I
b = −1.46414 + 1.04875I
−1.33895 + 6.73506I 0
u = −0.014781 + 1.250720I
a = 2.43752 + 0.18416I
b = 1.71375 − 0.16619I
5.81117 + 5.18320I 0
u = −0.014781 − 1.250720I
a = 2.43752 − 0.18416I
b = 1.71375 + 0.16619I
5.81117 − 5.18320I 0
u = 0.724193 + 0.178608I
a = −0.295872 − 0.572436I
b = −0.325525 − 0.319339I
−1.22360 − 4.51757I 0
u = 0.724193 − 0.178608I
a = −0.295872 + 0.572436I
b = −0.325525 + 0.319339I
−1.22360 + 4.51757I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.532726 + 0.503092I
a = −0.973548 − 0.549870I
b = 0.286092 + 0.678139I
3.43249 − 1.96165I 0
u = 0.532726 − 0.503092I
a = −0.973548 + 0.549870I
b = 0.286092 − 0.678139I
3.43249 + 1.96165I 0
u = −0.147133 + 1.276140I
a = −1.44340 − 0.15442I
b = −0.230016 − 0.523489I
4.66589 + 1.67554I 0
u = −0.147133 − 1.276140I
a = −1.44340 + 0.15442I
b = −0.230016 + 0.523489I
4.66589 − 1.67554I 0
u = −0.684540 + 0.197429I
a = 0.366121 − 0.249618I
b = 0.387064 + 0.757529I
−2.15344 + 0.42861I 0
u = −0.684540 − 0.197429I
a = 0.366121 + 0.249618I
b = 0.387064 − 0.757529I
−2.15344 − 0.42861I 0
u = −0.124470 + 1.301350I
a = −1.19386 − 1.16644I
b = −2.22445 − 0.90074I
6.87784 − 3.48818I 0
u = −0.124470 − 1.301350I
a = −1.19386 + 1.16644I
b = −2.22445 + 0.90074I
6.87784 + 3.48818I 0
u = 0.678322 + 0.099899I
a = −0.435487 − 0.353719I
b = −1.387350 − 0.094056I
−4.51698 − 2.16944I −16.7924 + 3.8738I
u = 0.678322 − 0.099899I
a = −0.435487 + 0.353719I
b = −1.387350 + 0.094056I
−4.51698 + 2.16944I −16.7924 − 3.8738I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.646181 + 0.219338I
a = 0.548348 − 0.590771I
b = 1.251050 + 0.417703I
−3.03809 + 2.58683I −12.4216 − 7.2407I
u = −0.646181 − 0.219338I
a = 0.548348 + 0.590771I
b = 1.251050 − 0.417703I
−3.03809 − 2.58683I −12.4216 + 7.2407I
u = −0.658705 + 0.126797I
a = 0.350179 + 0.609774I
b = −1.201920 − 0.268143I
−0.964743 + 0.632201I −3.74757 + 2.45853I
u = −0.658705 − 0.126797I
a = 0.350179 − 0.609774I
b = −1.201920 + 0.268143I
−0.964743 − 0.632201I −3.74757 − 2.45853I
u = −0.177530 + 1.324820I
a = −2.73669 + 2.23325I
b = −2.78738 + 0.49714I
5.02565 + 2.39791I 0
u = −0.177530 − 1.324820I
a = −2.73669 − 2.23325I
b = −2.78738 − 0.49714I
5.02565 − 2.39791I 0
u = 0.267307 + 1.325290I
a = 1.01302 + 1.78054I
b = 1.11468 + 1.21265I
−0.03878 − 5.59505I 0
u = 0.267307 − 1.325290I
a = 1.01302 − 1.78054I
b = 1.11468 − 1.21265I
−0.03878 + 5.59505I 0
u = 0.590519 + 0.248398I
a = 0.230764 + 0.167904I
b = −1.40037 − 1.34638I
3.62944 − 6.98778I −3.51906 + 9.59302I
u = 0.590519 − 0.248398I
a = 0.230764 − 0.167904I
b = −1.40037 + 1.34638I
3.62944 + 6.98778I −3.51906 − 9.59302I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.090390 + 1.356870I
a = −0.81885 − 1.55236I
b = −0.42067 − 1.51365I
6.50579 + 0.92837I 0
u = 0.090390 − 1.356870I
a = −0.81885 + 1.55236I
b = −0.42067 + 1.51365I
6.50579 − 0.92837I 0
u = −0.214055 + 1.350380I
a = −0.22677 + 2.19970I
b = −1.62831 + 2.31547I
5.76458 + 3.41030I 0
u = −0.214055 − 1.350380I
a = −0.22677 − 2.19970I
b = −1.62831 − 2.31547I
5.76458 − 3.41030I 0
u = −0.261631 + 1.348670I
a = 1.31111 − 1.08625I
b = 1.258180 + 0.007786I
3.71279 + 3.97751I 0
u = −0.261631 − 1.348670I
a = 1.31111 + 1.08625I
b = 1.258180 − 0.007786I
3.71279 − 3.97751I 0
u = −0.151044 + 1.369060I
a = 0.366201 − 1.362180I
b = 0.577899 − 0.812267I
3.59584 + 1.76063I 0
u = −0.151044 − 1.369060I
a = 0.366201 + 1.362180I
b = 0.577899 + 0.812267I
3.59584 − 1.76063I 0
u = 0.517952 + 0.344970I
a = −0.47977 − 1.38794I
b = 0.769924 + 0.323403I
3.48019 − 1.63556I −0.65993 + 4.22871I
u = 0.517952 − 0.344970I
a = −0.47977 + 1.38794I
b = 0.769924 − 0.323403I
3.48019 + 1.63556I −0.65993 − 4.22871I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.533280 + 0.315621I
a = 0.018193 − 1.021940I
b = 0.991986 + 0.669234I
3.39449 − 1.53761I −1.42259 + 4.57774I
u = 0.533280 − 0.315621I
a = 0.018193 + 1.021940I
b = 0.991986 − 0.669234I
3.39449 + 1.53761I −1.42259 − 4.57774I
u = −0.206414 + 1.367260I
a = 1.84259 + 0.60766I
b = 2.79075 + 0.49811I
8.18146 + 8.01100I 0
u = −0.206414 − 1.367260I
a = 1.84259 − 0.60766I
b = 2.79075 − 0.49811I
8.18146 − 8.01100I 0
u = −0.214975 + 1.374340I
a = 0.56767 − 3.47737I
b = 1.35241 − 3.58174I
8.04191 − 0.60263I 0
u = −0.214975 − 1.374340I
a = 0.56767 + 3.47737I
b = 1.35241 + 3.58174I
8.04191 + 0.60263I 0
u = −0.306626 + 1.363930I
a = −0.20026 + 2.72779I
b = −1.15326 + 2.68202I
3.94201 + 9.70679I 0
u = −0.306626 − 1.363930I
a = −0.20026 − 2.72779I
b = −1.15326 − 2.68202I
3.94201 − 9.70679I 0
u = 0.170329 + 1.392340I
a = 0.0142638 − 0.0363695I
b = 1.041630 + 0.392347I
9.77275 + 2.02763I 0
u = 0.170329 − 1.392340I
a = 0.0142638 + 0.0363695I
b = 1.041630 − 0.392347I
9.77275 − 2.02763I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.293611 + 1.373490I
a = −0.139322 + 1.083900I
b = −0.161472 + 0.910169I
3.70614 − 8.20920I 0
u = 0.293611 − 1.373490I
a = −0.139322 − 1.083900I
b = −0.161472 − 0.910169I
3.70614 + 8.20920I 0
u = −0.257068 + 1.384390I
a = −1.35015 + 1.08965I
b = −1.104560 + 0.486554I
2.06631 + 5.88892I 0
u = −0.257068 − 1.384390I
a = −1.35015 − 1.08965I
b = −1.104560 − 0.486554I
2.06631 − 5.88892I 0
u = −0.265761 + 1.383870I
a = −0.651958 + 0.038898I
b = −0.309566 − 0.182386I
2.88007 + 3.86348I 0
u = −0.265761 − 1.383870I
a = −0.651958 − 0.038898I
b = −0.309566 + 0.182386I
2.88007 − 3.86348I 0
u = 0.089464 + 1.407120I
a = 0.441486 − 1.040640I
b = 1.24915 − 0.81965I
6.64054 + 1.96862I 0
u = 0.089464 − 1.407120I
a = 0.441486 + 1.040640I
b = 1.24915 + 0.81965I
6.64054 − 1.96862I 0
u = 0.236349 + 1.390880I
a = 0.50769 + 2.82174I
b = 1.55621 + 2.52684I
8.84922 − 10.03900I 0
u = 0.236349 − 1.390880I
a = 0.50769 − 2.82174I
b = 1.55621 − 2.52684I
8.84922 + 10.03900I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.01955 + 1.41460I
a = 0.901411 − 0.108757I
b = 0.702662 − 0.553494I
5.50883 + 5.07286I 0
u = −0.01955 − 1.41460I
a = 0.901411 + 0.108757I
b = 0.702662 + 0.553494I
5.50883 − 5.07286I 0
u = −0.32813 + 1.38150I
a = 0.83211 − 1.24075I
b = 1.43535 − 0.81046I
1.36657 + 3.54768I 0
u = −0.32813 − 1.38150I
a = 0.83211 + 1.24075I
b = 1.43535 + 0.81046I
1.36657 − 3.54768I 0
u = 0.21882 + 1.40409I
a = −0.95637 − 2.03863I
b = −1.82648 − 2.09488I
8.84832 − 4.35386I 0
u = 0.21882 − 1.40409I
a = −0.95637 + 2.03863I
b = −1.82648 + 2.09488I
8.84832 + 4.35386I 0
u = 0.30719 + 1.39264I
a = −1.28841 − 1.48752I
b = −1.63025 − 0.65114I
1.49041 − 13.12850I 0
u = 0.30719 − 1.39264I
a = −1.28841 + 1.48752I
b = −1.63025 + 0.65114I
1.49041 + 13.12850I 0
u = 0.16501 + 1.41845I
a = −0.596364 − 0.626847I
b = −1.58440 − 0.70261I
9.47746 − 4.27141I 0
u = 0.16501 − 1.41845I
a = −0.596364 + 0.626847I
b = −1.58440 + 0.70261I
9.47746 + 4.27141I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.20507 + 1.41349I
a = −1.42751 − 1.21058I
b = −2.37498 − 1.30592I
9.07021 − 4.32822I 0
u = 0.20507 − 1.41349I
a = −1.42751 + 1.21058I
b = −2.37498 + 1.30592I
9.07021 + 4.32822I 0
u = −0.535961 + 0.197293I
a = −0.928142 − 0.299777I
b = −1.41912 + 1.52481I
3.02932 − 3.38842I −4.20859 + 0.66308I
u = −0.535961 − 0.197293I
a = −0.928142 + 0.299777I
b = −1.41912 − 1.52481I
3.02932 + 3.38842I −4.20859 − 0.66308I
u = 0.28547 + 1.40322I
a = 0.69469 + 2.75890I
b = 1.49463 + 2.62609I
3.94441 − 10.38100I 0
u = 0.28547 − 1.40322I
a = 0.69469 − 2.75890I
b = 1.49463 − 2.62609I
3.94441 + 10.38100I 0
u = −0.533864 + 0.110524I
a = −0.09491 + 1.80554I
b = 0.83694 − 1.34375I
1.093150 + 0.650033I −17.4107 + 4.1974I
u = −0.533864 − 0.110524I
a = −0.09491 − 1.80554I
b = 0.83694 + 1.34375I
1.093150 − 0.650033I −17.4107 − 4.1974I
u = 0.31303 + 1.43436I
a = −0.79632 − 2.08564I
b = −1.85441 − 1.90767I
8.29744 − 11.21590I 0
u = 0.31303 − 1.43436I
a = −0.79632 + 2.08564I
b = −1.85441 + 1.90767I
8.29744 + 11.21590I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.31700 + 1.43384I
a = 0.85809 − 2.36407I
b = 1.91209 − 2.22141I
6.7256 + 19.3962I 0
u = −0.31700 − 1.43384I
a = 0.85809 + 2.36407I
b = 1.91209 + 2.22141I
6.7256 − 19.3962I 0
u = −0.33559 + 1.44074I
a = −0.34664 + 1.77446I
b = −1.17465 + 1.83979I
7.15335 + 10.06300I 0
u = −0.33559 − 1.44074I
a = −0.34664 − 1.77446I
b = −1.17465 − 1.83979I
7.15335 − 10.06300I 0
u = −0.486274 + 0.157896I
a = 0.72103 − 2.98813I
b = −0.311293 − 0.652421I
3.28649 + 5.38821I −5.91409 − 11.96451I
u = −0.486274 − 0.157896I
a = 0.72103 + 2.98813I
b = −0.311293 + 0.652421I
3.28649 − 5.38821I −5.91409 + 11.96451I
u = 0.25757 + 1.46857I
a = 1.39487 + 1.22410I
b = 2.12536 + 1.26461I
4.41491 − 5.36136I 0
u = 0.25757 − 1.46857I
a = 1.39487 − 1.22410I
b = 2.12536 − 1.26461I
4.41491 + 5.36136I 0
u = 0.377171 + 0.324914I
a = 1.55944 + 2.24003I
b = 0.361775 − 0.359617I
4.37528 + 4.17810I −0.370262 + 0.306283I
u = 0.377171 − 0.324914I
a = 1.55944 − 2.24003I
b = 0.361775 + 0.359617I
4.37528 − 4.17810I −0.370262 − 0.306283I
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.494669
a = −2.53076
b = 3.51200
0.793446 −460.300
u = −0.06253 + 1.52401I
a = 0.670031 + 0.192867I
b = 1.55350 − 0.09774I
10.46320 − 9.17580I 0
u = −0.06253 − 1.52401I
a = 0.670031 − 0.192867I
b = 1.55350 + 0.09774I
10.46320 + 9.17580I 0
u = 0.007209 + 0.466548I
a = 0.897076 − 0.681843I
b = 0.574146 + 0.303517I
1.17692 + 1.56971I −0.36078 − 2.79316I
u = 0.007209 − 0.466548I
a = 0.897076 + 0.681843I
b = 0.574146 − 0.303517I
1.17692 − 1.56971I −0.36078 + 2.79316I
u = −0.185666 + 0.396816I
a = 0.73777 + 1.55682I
b = −0.310566 + 0.675556I
−1.58289 + 0.23561I −8.78494 − 1.39423I
u = −0.185666 − 0.396816I
a = 0.73777 − 1.55682I
b = −0.310566 − 0.675556I
−1.58289 − 0.23561I −8.78494 + 1.39423I
u = 0.05316 + 1.56191I
a = −0.525333 − 0.184304I
b = −1.304880 − 0.391759I
12.02970 + 0.78418I 0
u = 0.05316 − 1.56191I
a = −0.525333 + 0.184304I
b = −1.304880 + 0.391759I
12.02970 − 0.78418I 0
u = −0.436484
a = 0.725456
b = −0.597977
−0.894312 −11.9720
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.01195 + 1.61765I
a = −0.531051 − 0.159140I
b = −1.224870 − 0.251225I
11.94010 + 0.81369I 0
u = −0.01195 − 1.61765I
a = −0.531051 + 0.159140I
b = −1.224870 + 0.251225I
11.94010 − 0.81369I 0
19
II. I
u
2
=
h−4u
24
+2u
23
+· · ·+b+3, −16u
24
−7u
23
+· · ·+a+47, u
25
+u
24
+· · ·−4u−1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
7
=
1
−u
2
a
1
=
−u
u
3
+ u
a
4
=
16u
24
+ 7u
23
+ ··· − 31u − 47
4u
24
− 2u
23
+ ··· + 9u − 3
a
2
=
−8u
24
+ u
23
+ ··· + 12u + 12
−9u
24
− u
23
+ ··· + 10u + 18
a
9
=
−u
4
− u
2
+ 1
u
6
+ 2u
4
+ u
2
a
3
=
16u
24
+ 8u
23
+ ··· − 37u − 48
4u
24
− u
23
+ ··· + 5u − 4
a
6
=
−11u
24
− u
23
+ ··· + 16u + 29
−5u
24
+ 4u
23
+ ··· − 3u + 11
a
11
=
u
u
a
5
=
19u
24
+ 6u
23
+ ··· − 31u − 50
7u
24
− 3u
23
+ ··· + 9u − 6
a
10
=
−4u
24
− 53u
22
+ ··· + 7u + 18
3u
24
+ 3u
23
+ ··· − 16u − 11
(ii) Obstruction class = 1
(iii) Cusp Shapes
= 36u
24
+ 54u
23
+ 502u
22
+ 675u
21
+ 3037u
20
+ 3644u
19
+ 10399u
18
+ 11064u
17
+
21955u
16
+ 20539u
15
+ 28990u
14
+ 23603u
13
+ 22814u
12
+ 15997u
11
+ 9046u
10
+
5429u
9
+ 1020u
8
+ 474u
7
+ 710u
6
+ 117u
5
+ 1232u
4
+ 295u
3
+ 446u
2
+ 130u − 11
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
25
− 10u
24
+ ··· − 2u + 1
c
2
u
25
+ 3u
23
+ ··· − 2u + 1
c
3
u
25
− 8u
23
+ ··· + u + 1
c
4
u
25
+ 4u
23
+ ··· − 3u
2
+ 1
c
5
u
25
− 3u
24
+ ··· + 17u + 1
c
6
u
25
+ 3u
24
+ ··· − 11u
2
− 1
c
7
u
25
+ u
24
+ ··· − 4u − 1
c
8
u
25
− u
24
+ ··· − 6u − 1
c
9
u
25
+ 2u
24
+ ··· + 2u − 1
c
10
u
25
+ 4u
23
+ ··· + 3u
2
− 1
c
11
, c
12
u
25
− u
24
+ ··· − 4u + 1
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
25
+ 14y
24
+ ··· + 36y −1
c
2
y
25
+ 6y
24
+ ··· − 6y −1
c
3
y
25
− 16y
24
+ ··· − 27y −1
c
4
, c
10
y
25
+ 8y
24
+ ··· + 6y −1
c
5
y
25
+ 15y
24
+ ··· + 97y −1
c
6
y
25
+ 9y
24
+ ··· − 22y −1
c
7
, c
11
, c
12
y
25
+ 27y
24
+ ··· + 20y −1
c
8
y
25
+ 13y
24
+ ··· + 14y −1
c
9
y
25
− 14y
24
+ ··· − 4y −1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.438576 + 0.990950I
a = −1.237410 + 0.300917I
b = −0.398511 − 0.312584I
2.55487 − 1.83184I −0.38819 + 5.69082I
u = −0.438576 − 0.990950I
a = −1.237410 − 0.300917I
b = −0.398511 + 0.312584I
2.55487 + 1.83184I −0.38819 − 5.69082I
u = 0.207052 + 0.792790I
a = −1.251620 + 0.527333I
b = 0.291822 + 0.650460I
2.94173 − 0.92171I −3.21958 + 0.60365I
u = 0.207052 − 0.792790I
a = −1.251620 − 0.527333I
b = 0.291822 − 0.650460I
2.94173 + 0.92171I −3.21958 − 0.60365I
u = 0.137544 + 1.175050I
a = 0.29713 + 2.02545I
b = 0.71613 + 1.88035I
−0.450079 − 1.197100I −3.59315 + 4.98475I
u = 0.137544 − 1.175050I
a = 0.29713 − 2.02545I
b = 0.71613 − 1.88035I
−0.450079 + 1.197100I −3.59315 − 4.98475I
u = −0.779999 + 0.201489I
a = 0.261276 + 0.044697I
b = 0.97741 − 1.19435I
0.13599 + 6.19259I −4.64255 − 8.60606I
u = −0.779999 − 0.201489I
a = 0.261276 − 0.044697I
b = 0.97741 + 1.19435I
0.13599 − 6.19259I −4.64255 + 8.60606I
u = 0.165179 + 1.321910I
a = −2.54933 − 1.51886I
b = −2.27655 − 0.10768I
5.00421 − 2.31932I −24.7590 − 20.4796I
u = 0.165179 − 1.321910I
a = −2.54933 + 1.51886I
b = −2.27655 + 0.10768I
5.00421 + 2.31932I −24.7590 + 20.4796I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.603954 + 0.242304I
a = −0.668781 + 0.062777I
b = −0.927894 + 0.434228I
−3.07395 − 1.34380I −13.45604 + 1.50928I
u = 0.603954 − 0.242304I
a = −0.668781 − 0.062777I
b = −0.927894 − 0.434228I
−3.07395 + 1.34380I −13.45604 − 1.50928I
u = −0.131031 + 1.351120I
a = −0.11456 − 1.77551I
b = −1.03064 − 1.46742I
7.86708 − 3.04557I 2.67676 + 4.33303I
u = −0.131031 − 1.351120I
a = −0.11456 + 1.77551I
b = −1.03064 + 1.46742I
7.86708 + 3.04557I 2.67676 − 4.33303I
u = −0.125532 + 1.383090I
a = 1.99588 − 0.42794I
b = 2.93227 − 0.37131I
8.11268 + 6.27728I −0.35560 − 6.07004I
u = −0.125532 − 1.383090I
a = 1.99588 + 0.42794I
b = 2.93227 + 0.37131I
8.11268 − 6.27728I −0.35560 + 6.07004I
u = −0.30661 + 1.38290I
a = −0.04938 + 2.46923I
b = −0.88873 + 2.39801I
5.16196 + 10.09520I 0. − 9.19192I
u = −0.30661 − 1.38290I
a = −0.04938 − 2.46923I
b = −0.88873 − 2.39801I
5.16196 − 10.09520I 0. + 9.19192I
u = 0.26000 + 1.40376I
a = 1.109590 + 0.851244I
b = 1.180270 + 0.556568I
2.21925 − 4.56767I −7.13222 + 4.17730I
u = 0.26000 − 1.40376I
a = 1.109590 − 0.851244I
b = 1.180270 − 0.556568I
2.21925 + 4.56767I −7.13222 − 4.17730I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.486788
a = −2.37254
b = 3.25704
0.803941 309.030
u = −0.02412 + 1.64484I
a = −0.552393 + 0.086825I
b = −1.197960 + 0.233205I
11.78380 − 0.95801I −18.7111 + 15.8069I
u = −0.02412 − 1.64484I
a = −0.552393 − 0.086825I
b = −1.197960 − 0.233205I
11.78380 + 0.95801I −18.7111 − 15.8069I
u = −0.311256 + 0.012761I
a = −0.05413 − 4.53924I
b = −1.006140 − 0.511601I
3.39865 + 4.69659I −5.57576 − 2.72785I
u = −0.311256 − 0.012761I
a = −0.05413 + 4.53924I
b = −1.006140 + 0.511601I
3.39865 − 4.69659I −5.57576 + 2.72785I
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
25
− 10u
24
+ ··· − 2u + 1)(u
142
+ 3u
141
+ ··· + 25660u + 1552)
c
2
(u
25
+ 3u
23
+ ··· − 2u + 1)(u
142
− 3u
141
+ ··· + 3363u − 9621)
c
3
(u
25
− 8u
23
+ ··· + u + 1)(u
142
− u
141
+ ··· + 20522u − 1087)
c
4
(u
25
+ 4u
23
+ ··· − 3u
2
+ 1)(u
142
− u
141
+ ··· − 39669u − 8231)
c
5
(u
25
− 3u
24
+ ··· + 17u + 1)(u
142
− 2u
141
+ ··· − 22u + 1)
c
6
(u
25
+ 3u
24
+ ··· − 11u
2
− 1)(u
142
− 4u
141
+ ··· − 13583u − 2209)
c
7
(u
25
+ u
24
+ ··· − 4u − 1)(u
142
+ 65u
140
+ ··· + 79u + 19)
c
8
(u
25
− u
24
+ ··· − 6u − 1)(u
142
− 5u
139
+ ··· − 918747u + 290111)
c
9
(u
25
+ 2u
24
+ ··· + 2u − 1)(u
142
− 5u
141
+ ··· − 30u − 4)
c
10
(u
25
+ 4u
23
+ ··· + 3u
2
− 1)(u
142
− u
141
+ ··· − 39669u − 8231)
c
11
, c
12
(u
25
− u
24
+ ··· − 4u + 1)(u
142
+ 65u
140
+ ··· + 79u + 19)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
25
+ 14y
24
+ ··· + 36y −1)
· (y
142
+ 9y
141
+ ··· − 198506608y + 2408704)
c
2
(y
25
+ 6y
24
+ ··· − 6y −1)
· (y
142
+ 33y
141
+ ··· + 5619168819y + 92563641)
c
3
(y
25
− 16y
24
+ ··· − 27y −1)
· (y
142
+ 7y
141
+ ··· − 23640932y + 1181569)
c
4
, c
10
(y
25
+ 8y
24
+ ··· + 6y −1)
· (y
142
+ 91y
141
+ ··· + 2568604727y + 67749361)
c
5
(y
25
+ 15y
24
+ ··· + 97y −1)(y
142
+ 22y
141
+ ··· − 108y + 1)
c
6
(y
25
+ 9y
24
+ ··· − 22y −1)
· (y
142
− 8y
141
+ ··· − 159226929y + 4879681)
c
7
, c
11
, c
12
(y
25
+ 27y
24
+ ··· + 20y −1)(y
142
+ 130y
141
+ ··· − 3391y + 361)
c
8
(y
25
+ 13y
24
+ ··· + 14y −1)
· (y
142
+ 48y
140
+ ··· + 676166821071y + 84164392321)
c
9
(y
25
− 14y
24
+ ··· − 4y −1)(y
142
+ y
141
+ ··· + 308y + 16)
27
