12a
1191
(K12a
1191
)
A knot diagram
1
Linearized knot diagam
4 10 11 9 2 3 12 1 5 6 7 8
Solving Sequence
7,12
8 1
3,9
6 11 4 5 10 2
c
7
c
12
c
8
c
6
c
11
c
3
c
4
c
10
c
2
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h4.36523 × 10
132
u
90
− 3.19353 × 10
132
u
89
+ ··· + 2.10482 × 10
131
b − 5.51264 × 10
132
,
− 1.18098 × 10
133
u
90
+ 8.96992 × 10
132
u
89
+ ··· + 2.10482 × 10
131
a + 1.66735 × 10
133
,
u
91
− 58u
89
+ ··· − u − 1i
I
u
2
= h−u
13
+ 10u
11
− 2u
10
− 37u
9
+ 16u
8
+ 60u
7
− 44u
6
− 37u
5
+ 46u
4
+ 2u
3
− 13u
2
+ b + 2u + 2,
2u
13
− u
12
− 20u
11
+ 13u
10
+ 73u
9
− 62u
8
− 113u
7
+ 133u
6
+ 57u
5
− 122u
4
+ 10u
3
+ 36u
2
+ a − 3u − 8,
u
14
− 10u
12
+ 2u
11
+ 38u
10
− 16u
9
− 67u
8
+ 45u
7
+ 53u
6
− 51u
5
− 16u
4
+ 20u
3
+ 4u
2
− 4u − 1i
I
u
3
= hb, a + 1, u + 1i
* 3 irreducible components of dim
C
= 0, with total 106 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
= h4.37 × 10
132
u
90
− 3.19 × 10
132
u
89
+ · · · + 2.10 × 10
131
b − 5.51 ×
10
132
, −1.18 × 10
133
u
90
+ 8.97 × 10
132
u
89
+ · · · + 2.10 × 10
131
a + 1.67 ×
10
133
, u
91
− 58u
89
+ · · · − u − 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
8
=
1
−u
2
a
1
=
u
−u
3
+ u
a
3
=
56.1084u
90
− 42.6161u
89
+ ··· − 50.0478u − 79.2156
−20.7392u
90
+ 15.1725u
89
+ ··· − 4.73282u + 26.1906
a
9
=
−u
2
+ 1
u
4
− 2u
2
a
6
=
−56.8158u
90
+ 42.7041u
89
+ ··· − 84.2527u + 77.3151
20.4447u
90
− 16.1446u
89
+ ··· + 10.5300u − 28.4511
a
11
=
−u
u
a
4
=
35.4678u
90
− 27.0005u
89
+ ··· − 57.9734u − 51.7720
−0.0987024u
90
− 0.443082u
89
+ ··· + 3.19269u − 1.25306
a
5
=
48.8252u
90
− 36.5045u
89
+ ··· − 52.0806u − 69.1683
−25.0607u
90
+ 17.8324u
89
+ ··· − 7.86324u + 31.3440
a
10
=
−67.5498u
90
+ 50.1740u
89
+ ··· − 9.65117u + 91.8368
32.6880u
90
− 23.5158u
89
+ ··· + 17.8004u − 43.1141
a
2
=
21.3595u
90
− 17.2198u
89
+ ··· − 78.0900u − 44.2105
−0.0820261u
90
+ 1.41198u
89
+ ··· + 0.825309u + 2.32895
(ii) Obstruction class = −1
(iii) Cusp Shapes = −124.387u
90
+ 101.213u
89
+ ··· − 117.598u + 140.246
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
91
+ 26u
89
+ ··· + 4521u − 1063
c
2
u
91
+ 3u
90
+ ··· − 107u + 47
c
3
u
91
− u
90
+ ··· − 1664u + 256
c
4
, c
9
u
91
− u
90
+ ··· + 40u + 16
c
5
u
91
− 2u
89
+ ··· − 27u + 1
c
6
u
91
− 3u
90
+ ··· − 20u + 478
c
7
, c
8
, c
11
c
12
u
91
− 58u
89
+ ··· − u + 1
c
10
u
91
− 4u
90
+ ··· + 13u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
91
+ 52y
90
+ ··· + 271560435y −1129969
c
2
y
91
− 27y
90
+ ··· + 250585y −2209
c
3
y
91
+ 19y
90
+ ··· + 638976y −65536
c
4
, c
9
y
91
− 77y
90
+ ··· + 20544y −256
c
5
y
91
− 4y
90
+ ··· + 43y −1
c
6
y
91
− 33y
90
+ ··· + 38548232y −228484
c
7
, c
8
, c
11
c
12
y
91
− 116y
90
+ ··· + 183y −1
c
10
y
91
− 14y
90
+ ··· + 35y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.917181 + 0.446358I
a = −0.350051 − 0.718722I
b = 0.752614 + 0.368141I
1.10014 + 1.26315I 0
u = −0.917181 − 0.446358I
a = −0.350051 + 0.718722I
b = 0.752614 − 0.368141I
1.10014 − 1.26315I 0
u = 1.020520 + 0.021459I
a = 1.65965 + 0.12252I
b = −1.274710 + 0.013134I
6.37995 − 0.00443I 0
u = 1.020520 − 0.021459I
a = 1.65965 − 0.12252I
b = −1.274710 − 0.013134I
6.37995 + 0.00443I 0
u = 0.912677 + 0.338207I
a = 1.087310 − 0.365705I
b = −0.672974 − 0.988089I
2.76497 + 5.71335I 0
u = 0.912677 − 0.338207I
a = 1.087310 + 0.365705I
b = −0.672974 + 0.988089I
2.76497 − 5.71335I 0
u = 0.842246 + 0.427903I
a = −1.57000 + 0.86044I
b = 1.137440 + 0.719196I
0.83657 + 8.60958I 0
u = 0.842246 − 0.427903I
a = −1.57000 − 0.86044I
b = 1.137440 − 0.719196I
0.83657 − 8.60958I 0
u = −0.049155 + 0.925373I
a = −0.018450 − 0.240418I
b = 0.787113 + 0.434682I
4.35215 − 0.70387I 0
u = −0.049155 − 0.925373I
a = −0.018450 + 0.240418I
b = 0.787113 − 0.434682I
4.35215 + 0.70387I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.909377 + 0.121317I
a = −1.74806 − 1.51726I
b = 0.656466 + 0.156356I
6.80329 + 5.85078I 0
u = 0.909377 − 0.121317I
a = −1.74806 + 1.51726I
b = 0.656466 − 0.156356I
6.80329 − 5.85078I 0
u = −0.855576 + 0.198161I
a = −1.69427 − 0.84476I
b = 0.600470 − 0.528724I
0.41511 − 1.73319I 0
u = −0.855576 − 0.198161I
a = −1.69427 + 0.84476I
b = 0.600470 + 0.528724I
0.41511 + 1.73319I 0
u = 0.170636 + 0.858640I
a = 0.270440 − 0.217975I
b = −0.988141 − 0.796603I
2.60854 + 9.24166I 0
u = 0.170636 − 0.858640I
a = 0.270440 + 0.217975I
b = −0.988141 + 0.796603I
2.60854 − 9.24166I 0
u = 0.798624 + 0.317069I
a = 1.49211 − 0.38463I
b = −1.13354 − 0.85618I
2.71888 + 4.11027I 0
u = 0.798624 − 0.317069I
a = 1.49211 + 0.38463I
b = −1.13354 + 0.85618I
2.71888 − 4.11027I 0
u = −0.958558 + 0.619174I
a = −1.304190 − 0.198758I
b = 1.190730 − 0.754942I
7.19572 − 4.42968I 0
u = −0.958558 − 0.619174I
a = −1.304190 + 0.198758I
b = 1.190730 + 0.754942I
7.19572 + 4.42968I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.010410 + 0.532785I
a = 1.63192 + 0.38601I
b = −1.26642 + 0.85939I
6.2099 − 13.8413I 0
u = −1.010410 − 0.532785I
a = 1.63192 − 0.38601I
b = −1.26642 − 0.85939I
6.2099 + 13.8413I 0
u = 1.012830 + 0.547009I
a = −0.666318 + 0.854147I
b = 0.845873 + 0.040235I
7.74795 + 5.61965I 0
u = 1.012830 − 0.547009I
a = −0.666318 − 0.854147I
b = 0.845873 − 0.040235I
7.74795 − 5.61965I 0
u = 1.158320 + 0.061570I
a = 2.09123 + 0.11464I
b = −1.43859 − 0.11203I
6.35878 − 0.00374I 0
u = 1.158320 − 0.061570I
a = 2.09123 − 0.11464I
b = −1.43859 + 0.11203I
6.35878 + 0.00374I 0
u = −0.827706 + 0.023758I
a = −1.94653 − 0.03034I
b = 1.30788 + 1.14736I
5.75955 + 4.36365I 0
u = −0.827706 − 0.023758I
a = −1.94653 + 0.03034I
b = 1.30788 − 1.14736I
5.75955 − 4.36365I 0
u = 1.20776
a = 1.23537
b = −0.150179
1.50241 0
u = −0.692576 + 0.369176I
a = −0.252568 + 1.293030I
b = −0.15549 − 1.61967I
3.29248 − 5.87120I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.692576 − 0.369176I
a = −0.252568 − 1.293030I
b = −0.15549 + 1.61967I
3.29248 + 5.87120I 0
u = 0.871395 + 0.870623I
a = 0.199766 − 0.694070I
b = −0.701199 + 0.494745I
4.43105 − 3.66394I 0
u = 0.871395 − 0.870623I
a = 0.199766 + 0.694070I
b = −0.701199 − 0.494745I
4.43105 + 3.66394I 0
u = −0.752182
a = 3.63130
b = −1.36493
3.54118 0
u = −0.741016
a = −0.850183
b = 0.113569
1.10828 0
u = −0.695366 + 0.186808I
a = 0.35620 + 2.27599I
b = −0.784084 + 0.061653I
2.27067 − 0.45074I 0
u = −0.695366 − 0.186808I
a = 0.35620 − 2.27599I
b = −0.784084 − 0.061653I
2.27067 + 0.45074I 0
u = −0.628840 + 0.325941I
a = −0.679726 + 0.307313I
b = −0.344482 − 0.126930I
1.371510 − 0.206959I 0
u = −0.628840 − 0.325941I
a = −0.679726 − 0.307313I
b = −0.344482 + 0.126930I
1.371510 + 0.206959I 0
u = 0.601513 + 0.261883I
a = 0.143854 + 0.590721I
b = 0.441427 − 1.013250I
−1.19187 + 2.41953I 0. − 7.66477I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.601513 − 0.261883I
a = 0.143854 − 0.590721I
b = 0.441427 + 1.013250I
−1.19187 − 2.41953I 0. + 7.66477I
u = 0.014121 + 0.652849I
a = 0.247154 − 0.479642I
b = 0.943310 − 0.640973I
−1.67591 − 4.97592I 4.00000 + 6.22523I
u = 0.014121 − 0.652849I
a = 0.247154 + 0.479642I
b = 0.943310 + 0.640973I
−1.67591 + 4.97592I 4.00000 − 6.22523I
u = −0.228822 + 0.569931I
a = 1.242050 − 0.011593I
b = −0.792425 + 1.135470I
1.91858 + 2.59973I 2.55627 − 3.29477I
u = −0.228822 − 0.569931I
a = 1.242050 + 0.011593I
b = −0.792425 − 1.135470I
1.91858 − 2.59973I 2.55627 + 3.29477I
u = −0.094291 + 0.541879I
a = −0.557308 + 1.003780I
b = −0.455963 + 0.707318I
−0.30212 − 2.71649I 1.16599 + 6.03643I
u = −0.094291 − 0.541879I
a = −0.557308 − 1.003780I
b = −0.455963 − 0.707318I
−0.30212 + 2.71649I 1.16599 − 6.03643I
u = −1.49316
a = −2.56595
b = 1.76633
3.30274 0
u = −0.001188 + 0.400466I
a = −1.271860 + 0.075004I
b = −0.674817 + 0.552835I
0.43902 − 1.57022I 4.00266 + 2.96421I
u = −0.001188 − 0.400466I
a = −1.271860 − 0.075004I
b = −0.674817 − 0.552835I
0.43902 + 1.57022I 4.00266 − 2.96421I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.60395 + 0.03130I
a = −0.211427 − 1.129280I
b = 0.29839 + 1.45886I
6.43796 − 3.26756I 0
u = −1.60395 − 0.03130I
a = −0.211427 + 1.129280I
b = 0.29839 − 1.45886I
6.43796 + 3.26756I 0
u = 1.61544 + 0.08861I
a = 0.184899 + 0.051274I
b = −0.407141 − 0.545139I
9.04789 + 1.72598I 0
u = 1.61544 − 0.08861I
a = 0.184899 − 0.051274I
b = −0.407141 + 0.545139I
9.04789 − 1.72598I 0
u = 0.141849 + 0.347474I
a = −1.10267 + 2.06537I
b = 0.641497 + 0.536873I
−2.40242 − 0.11800I −5.09885 − 1.12207I
u = 0.141849 − 0.347474I
a = −1.10267 − 2.06537I
b = 0.641497 − 0.536873I
−2.40242 + 0.11800I −5.09885 + 1.12207I
u = 1.63813 + 0.08293I
a = −0.15558 − 1.84572I
b = 0.06614 + 2.09277I
11.43140 + 7.43619I 0
u = 1.63813 − 0.08293I
a = −0.15558 + 1.84572I
b = 0.06614 − 2.09277I
11.43140 − 7.43619I 0
u = 1.64405 + 0.03849I
a = 1.38387 − 1.09007I
b = −0.893959 − 0.323763I
10.54520 + 1.19802I 0
u = 1.64405 − 0.03849I
a = 1.38387 + 1.09007I
b = −0.893959 + 0.323763I
10.54520 − 1.19802I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.65603
a = 2.84891
b = −1.56819
12.0821 0
u = −1.65904 + 0.08425I
a = 1.99380 − 0.30053I
b = −1.45706 + 0.97395I
11.30970 − 5.62963I 0
u = −1.65904 − 0.08425I
a = 1.99380 + 0.30053I
b = −1.45706 − 0.97395I
11.30970 + 5.62963I 0
u = −1.66431 + 0.10950I
a = −2.01278 − 0.18168I
b = 1.29842 − 0.76043I
9.5241 − 10.6370I 0
u = −1.66431 − 0.10950I
a = −2.01278 + 0.18168I
b = 1.29842 + 0.76043I
9.5241 + 10.6370I 0
u = −0.327010 + 0.024834I
a = −2.45501 + 0.42707I
b = −1.050700 − 0.022615I
2.25017 − 0.00521I 25.7179 − 12.5088I
u = −0.327010 − 0.024834I
a = −2.45501 − 0.42707I
b = −1.050700 + 0.022615I
2.25017 + 0.00521I 25.7179 + 12.5088I
u = 1.67382 + 0.00252I
a = −2.09500 + 0.64314I
b = 1.60216 − 1.26474I
14.6420 − 4.2859I 0
u = 1.67382 − 0.00252I
a = −2.09500 − 0.64314I
b = 1.60216 + 1.26474I
14.6420 + 4.2859I 0
u = 1.67890 + 0.04717I
a = −1.60010 + 0.25978I
b = 0.760804 + 0.612967I
9.37397 + 2.64843I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.67890 − 0.04717I
a = −1.60010 − 0.25978I
b = 0.760804 − 0.612967I
9.37397 − 2.64843I 0
u = −1.68883 + 0.03116I
a = −1.46816 + 0.84245I
b = 0.733381 + 0.158115I
16.0083 − 6.4456I 0
u = −1.68883 − 0.03116I
a = −1.46816 − 0.84245I
b = 0.733381 − 0.158115I
16.0083 + 6.4456I 0
u = −1.69089 + 0.08739I
a = 1.263860 − 0.324673I
b = −0.81079 + 1.19205I
11.91300 − 7.36719I 0
u = −1.69089 − 0.08739I
a = 1.263860 + 0.324673I
b = −0.81079 − 1.19205I
11.91300 + 7.36719I 0
u = 1.69395 + 0.07536I
a = −1.185220 + 0.193629I
b = 0.839978 + 0.209950I
10.47930 + 0.62266I 0
u = 1.69395 − 0.07536I
a = −1.185220 − 0.193629I
b = 0.839978 − 0.209950I
10.47930 − 0.62266I 0
u = −1.70284 + 0.02337I
a = 1.79568 − 0.24863I
b = −1.170090 − 0.204979I
16.0167 − 0.3960I 0
u = −1.70284 − 0.02337I
a = 1.79568 + 0.24863I
b = −1.170090 + 0.204979I
16.0167 + 0.3960I 0
u = −1.71287
a = 1.96336
b = −1.57408
16.0925 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.70600 + 0.17492I
a = −2.06447 − 0.11832I
b = 1.53935 + 0.77519I
16.3686 + 7.5807I 0
u = 1.70600 − 0.17492I
a = −2.06447 + 0.11832I
b = 1.53935 − 0.77519I
16.3686 − 7.5807I 0
u = −1.71338 + 0.14789I
a = −1.251830 − 0.547436I
b = 1.002740 − 0.286277I
17.1980 − 8.3922I 0
u = −1.71338 − 0.14789I
a = −1.251830 + 0.547436I
b = 1.002740 + 0.286277I
17.1980 + 8.3922I 0
u = 1.71531 + 0.15107I
a = 2.11203 + 0.06014I
b = −1.46699 − 0.87443I
15.6677 + 16.6133I 0
u = 1.71531 − 0.15107I
a = 2.11203 − 0.06014I
b = −1.46699 + 0.87443I
15.6677 − 16.6133I 0
u = −0.118525 + 0.147072I
a = −5.10070 + 3.31269I
b = 0.784408 − 0.784768I
3.62366 − 4.82368I 8.27128 + 5.35281I
u = −0.118525 − 0.147072I
a = −5.10070 − 3.31269I
b = 0.784408 + 0.784768I
3.62366 + 4.82368I 8.27128 − 5.35281I
u = −1.81169 + 0.19062I
a = 0.936030 + 0.424848I
b = −0.702838 + 0.003311I
14.02360 − 1.03329I 0
u = −1.81169 − 0.19062I
a = 0.936030 − 0.424848I
b = −0.702838 − 0.003311I
14.02360 + 1.03329I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.0762493
a = −16.9219
b = 0.601126
−2.56020 −18.0060
14
II.
I
u
2
= h−u
13
+10u
11
+· · ·+b+2, 2u
13
−u
12
+· · ·+a−8, u
14
−10u
12
+· · ·−4u−1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
8
=
1
−u
2
a
1
=
u
−u
3
+ u
a
3
=
−2u
13
+ u
12
+ ··· + 3u + 8
u
13
− 10u
11
+ ··· − 2u − 2
a
9
=
−u
2
+ 1
u
4
− 2u
2
a
6
=
2u
13
− 21u
11
+ ··· − 5u − 7
−u
12
+ u
11
+ ··· − 6u − 1
a
11
=
−u
u
a
4
=
−2u
13
+ 20u
11
+ ··· − 34u
2
+ 7
u
13
+ u
12
+ ··· + u − 1
a
5
=
−2u
13
+ 20u
11
+ ··· − 4u + 6
u
13
− 10u
11
+ ··· + u − 1
a
10
=
u
10
− u
9
− 7u
8
+ 9u
7
+ 14u
6
− 26u
5
− 2u
4
+ 24u
3
− 12u
2
u
11
− u
10
+ ··· + 4u + 2
a
2
=
−3u
13
+ u
12
+ ··· + 7u + 12
u
10
− u
9
− 7u
8
+ 7u
7
+ 16u
6
− 16u
5
− 13u
4
+ 14u
3
+ 3u
2
− 5u − 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = 10u
13
− 98u
11
+ 26u
10
+ 356u
9
− 202u
8
− 553u
7
+ 532u
6
+
258u
5
− 504u
4
+ 116u
3
+ 78u
2
− 41u + 16
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
14
− 4u
13
+ ··· + 8u − 1
c
2
u
14
+ u
13
+ ··· + 11u
2
− 1
c
3
u
14
+ 3u
13
+ ··· + 2u + 1
c
4
u
14
+ 2u
13
+ ··· − 6u − 6
c
5
u
14
− 4u
13
+ ··· + 4u
2
+ 1
c
6
u
14
+ 2u
13
+ ··· − 6u − 6
c
7
, c
8
u
14
− 10u
12
+ ··· − 4u − 1
c
9
u
14
− 2u
13
+ ··· + 6u − 6
c
10
u
14
− 3u
12
+ ··· + 2u + 1
c
11
, c
12
u
14
− 10u
12
+ ··· + 4u − 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
14
+ 12y
13
+ ··· + 4y + 1
c
2
y
14
− 3y
13
+ ··· − 22y + 1
c
3
y
14
+ 3y
13
+ ··· + 6y + 1
c
4
, c
9
y
14
− 14y
13
+ ··· − 408y + 36
c
5
y
14
− 8y
13
+ ··· + 8y + 1
c
6
y
14
− 6y
13
+ ··· − 264y + 36
c
7
, c
8
, c
11
c
12
y
14
− 20y
13
+ ··· − 24y + 1
c
10
y
14
− 6y
13
+ ··· − 12y + 1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.715737 + 0.583142I
a = 0.322278 − 1.095290I
b = −0.597611 + 0.693639I
4.04967 − 3.04608I 8.11198 − 0.20343I
u = 0.715737 − 0.583142I
a = 0.322278 + 1.095290I
b = −0.597611 − 0.693639I
4.04967 + 3.04608I 8.11198 + 0.20343I
u = 0.730681 + 0.320983I
a = 0.616791 + 0.061440I
b = −0.73392 − 1.24339I
4.41104 + 6.03285I 11.8777 − 9.4037I
u = 0.730681 − 0.320983I
a = 0.616791 − 0.061440I
b = −0.73392 + 1.24339I
4.41104 − 6.03285I 11.8777 + 9.4037I
u = −1.36413
a = −2.81767
b = 2.16302
5.84944 −0.951100
u = 1.47823
a = 2.36442
b = −1.49772
3.66203 16.6360
u = −0.443960 + 0.191879I
a = 1.90519 − 1.01523I
b = 0.947403 + 0.080912I
2.25868 − 0.13701I 39.5169 + 19.1943I
u = −0.443960 − 0.191879I
a = 1.90519 + 1.01523I
b = 0.947403 − 0.080912I
2.25868 + 0.13701I 39.5169 − 19.1943I
u = 1.65797 + 0.07828I
a = −0.994052 + 0.564977I
b = 0.741166 + 0.278839I
10.06360 + 1.56273I 8.70560 + 0.19907I
u = 1.65797 − 0.07828I
a = −0.994052 − 0.564977I
b = 0.741166 − 0.278839I
10.06360 − 1.56273I 8.70560 − 0.19907I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.66391 + 0.08405I
a = 1.120950 − 0.701232I
b = −0.88050 + 1.46101I
12.9092 − 7.5451I 13.8812 + 7.2706I
u = −1.66391 − 0.08405I
a = 1.120950 + 0.701232I
b = −0.88050 − 1.46101I
12.9092 + 7.5451I 13.8812 − 7.2706I
u = −0.279409
a = 5.33475
b = −0.698077
−2.38362 27.8190
u = −1.82774
a = 1.17619
b = −0.920280
14.3142 13.3090
19
III. I
u
3
= hb, a + 1, u + 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
−1
a
8
=
1
−1
a
1
=
−1
0
a
3
=
−1
0
a
9
=
0
−1
a
6
=
1
0
a
11
=
1
−1
a
4
=
0
−1
a
5
=
0
−1
a
10
=
0
−1
a
2
=
−1
−1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
10
, c
11
, c
12
u − 1
c
4
, c
6
, c
9
u
c
5
, c
7
, c
8
u + 1
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
5
, c
7
, c
8
c
10
, c
11
, c
12
y −1
c
4
, c
6
, c
9
y
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = −1.00000
b = 0
0 0
23
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u − 1)(u
14
− 4u
13
+ ··· + 8u − 1)(u
91
+ 26u
89
+ ··· + 4521u − 1063)
c
2
(u − 1)(u
14
+ u
13
+ ··· + 11u
2
− 1)(u
91
+ 3u
90
+ ··· − 107u + 47)
c
3
(u − 1)(u
14
+ 3u
13
+ ··· + 2u + 1)(u
91
− u
90
+ ··· − 1664u + 256)
c
4
u(u
14
+ 2u
13
+ ··· − 6u − 6)(u
91
− u
90
+ ··· + 40u + 16)
c
5
(u + 1)(u
14
− 4u
13
+ ··· + 4u
2
+ 1)(u
91
− 2u
89
+ ··· − 27u + 1)
c
6
u(u
14
+ 2u
13
+ ··· − 6u − 6)(u
91
− 3u
90
+ ··· − 20u + 478)
c
7
, c
8
(u + 1)(u
14
− 10u
12
+ ··· − 4u − 1)(u
91
− 58u
89
+ ··· − u + 1)
c
9
u(u
14
− 2u
13
+ ··· + 6u − 6)(u
91
− u
90
+ ··· + 40u + 16)
c
10
(u − 1)(u
14
− 3u
12
+ ··· + 2u + 1)(u
91
− 4u
90
+ ··· + 13u + 1)
c
11
, c
12
(u − 1)(u
14
− 10u
12
+ ··· + 4u − 1)(u
91
− 58u
89
+ ··· − u + 1)
24
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y −1)(y
14
+ 12y
13
+ ··· + 4y + 1)
· (y
91
+ 52y
90
+ ··· + 271560435y −1129969)
c
2
(y −1)(y
14
− 3y
13
+ ··· − 22y + 1)
· (y
91
− 27y
90
+ ··· + 250585y −2209)
c
3
(y −1)(y
14
+ 3y
13
+ ··· + 6y + 1)
· (y
91
+ 19y
90
+ ··· + 638976y −65536)
c
4
, c
9
y(y
14
− 14y
13
+ ··· − 408y + 36)(y
91
− 77y
90
+ ··· + 20544y −256)
c
5
(y −1)(y
14
− 8y
13
+ ··· + 8y + 1)(y
91
− 4y
90
+ ··· + 43y −1)
c
6
y(y
14
− 6y
13
+ ··· − 264y + 36)
· (y
91
− 33y
90
+ ··· + 38548232y −228484)
c
7
, c
8
, c
11
c
12
(y −1)(y
14
− 20y
13
+ ··· − 24y + 1)(y
91
− 116y
90
+ ··· + 183y −1)
c
10
(y −1)(y
14
− 6y
13
+ ··· − 12y + 1)(y
91
− 14y
90
+ ··· + 35y −1)
25
