11a
287
(K11a
287
)
A knot diagram
1
Linearized knot diagam
6 8 1 7 2 10 11 3 4 5 9
Solving Sequence
6,10 2,7
1 5 11 8 4 3 9
c
6
c
1
c
5
c
10
c
7
c
4
c
3
c
9
c
2
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.31991 × 10
746
u
112
− 1.15098 × 10
747
u
111
+ ··· + 2.65444 × 10
744
b − 2.87498 × 10
746
,
− 9.84912 × 10
745
u
112
− 8.43713 × 10
746
u
111
+ ··· + 2.65444 × 10
744
a − 4.32696 × 10
746
,
2u
113
+ 17u
112
+ ··· + 38u − 1i
I
u
2
= h−4.34765 × 10
21
u
22
+ 1.82305 × 10
22
u
21
+ ··· + 8.15827 × 10
21
b − 4.13706 × 10
21
,
− 6.81911 × 10
21
u
22
+ 2.53600 × 10
22
u
21
+ ··· + 8.15827 × 10
21
a + 2.28717 × 10
22
,
2u
23
− 7u
22
+ ··· + 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 136 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−1.32 × 10
746
u
112
− 1.15 × 10
747
u
111
+ · · · + 2.65 × 10
744
b − 2.87 ×
10
746
, −9.85 × 10
745
u
112
− 8.44 × 10
746
u
111
+ · · · + 2.65 × 10
744
a − 4.33 ×
10
746
, 2u
113
+ 17u
112
+ · · · + 38u − 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
2
=
37.1043u
112
+ 317.849u
111
+ ··· − 4823.04u + 163.008
49.7246u
112
+ 433.605u
111
+ ··· − 3699.30u + 108.308
a
7
=
1
u
2
a
1
=
−12.6203u
112
− 115.756u
111
+ ··· − 1123.74u + 54.7001
49.7246u
112
+ 433.605u
111
+ ··· − 3699.30u + 108.308
a
5
=
0.136870u
112
+ 4.95263u
111
+ ··· + 2305.82u − 102.081
−99.8080u
112
− 870.054u
111
+ ··· + 7586.47u − 224.356
a
11
=
−23.6821u
112
− 208.417u
111
+ ··· + 698.157u − 22.7715
42.0949u
112
+ 366.618u
111
+ ··· − 3367.23u + 102.917
a
8
=
66.2163u
112
+ 577.421u
111
+ ··· − 4482.24u + 140.302
−14.9640u
112
− 129.901u
111
+ ··· + 1367.37u − 43.9146
a
4
=
100.959u
112
+ 883.832u
111
+ ··· − 5352.58u + 124.169
−95.0988u
112
− 829.016u
111
+ ··· + 7221.01u − 213.412
a
3
=
−30.8817u
112
− 269.197u
111
+ ··· + 2131.38u − 61.3693
18.4765u
112
+ 160.902u
111
+ ··· − 1475.59u + 44.6165
a
9
=
−116.397u
112
− 1015.66u
111
+ ··· + 8163.59u − 250.723
43.4862u
112
+ 378.579u
111
+ ··· − 3531.54u + 108.332
a
9
=
−116.397u
112
− 1015.66u
111
+ ··· + 8163.59u − 250.723
43.4862u
112
+ 378.579u
111
+ ··· − 3531.54u + 108.332
(ii) Obstruction class = −1
(iii) Cusp Shapes = 600.198u
112
+ 5230.51u
111
+ ··· − 46114.1u + 1380.67
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
2(2u
113
+ u
112
+ ··· − u − 1)
c
2
, c
8
u
113
− 2u
112
+ ··· − 3534u + 4993
c
3
u
113
− 3u
112
+ ··· − 1271u + 44
c
4
u
113
+ 13u
112
+ ··· − 4u − 1
c
6
2(2u
113
+ 17u
112
+ ··· + 38u − 1)
c
7
u
113
+ u
112
+ ··· − 34861u + 12214
c
9
u
113
+ 2u
112
+ ··· + 26104u + 13016
c
10
2(2u
113
+ 3u
112
+ ··· + 23u + 1)
c
11
4(4u
113
− 35u
112
+ ··· + 12u + 1)
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
4(4y
113
+ 255y
112
+ ··· − 31y −1)
c
2
, c
8
y
113
− 78y
112
+ ··· + 591816960y −24930049
c
3
y
113
− 11y
112
+ ··· + 228913y −1936
c
4
y
113
− 11y
112
+ ··· − 158y −1
c
6
4(4y
113
+ 47y
112
+ ··· + 270y −1)
c
7
y
113
− 25y
112
+ ··· + 4911099153y −149181796
c
9
y
113
− 46y
112
+ ··· + 1585145728y −169416256
c
10
4(4y
113
+ 3y
112
+ ··· + 1415y −1)
c
11
16(16y
113
− 377y
112
+ ··· − 2y −1)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.730705 + 0.701905I
a = 0.917718 + 0.840301I
b = 0.293401 + 0.956315I
−0.008867 + 1.193900I 0
u = 0.730705 − 0.701905I
a = 0.917718 − 0.840301I
b = 0.293401 − 0.956315I
−0.008867 − 1.193900I 0
u = 0.952638 + 0.457126I
a = 0.29069 + 2.16362I
b = −0.469466 + 1.187140I
−6.01052 − 10.10660I 0
u = 0.952638 − 0.457126I
a = 0.29069 − 2.16362I
b = −0.469466 − 1.187140I
−6.01052 + 10.10660I 0
u = −0.903975 + 0.254126I
a = 0.57548 − 1.32233I
b = −0.662005 − 1.116090I
−4.62375 + 4.40801I 0
u = −0.903975 − 0.254126I
a = 0.57548 + 1.32233I
b = −0.662005 + 1.116090I
−4.62375 − 4.40801I 0
u = −0.187504 + 0.885996I
a = 1.13707 + 1.03844I
b = −0.416542 − 1.156760I
−2.10342 + 9.54747I 0
u = −0.187504 − 0.885996I
a = 1.13707 − 1.03844I
b = −0.416542 + 1.156760I
−2.10342 − 9.54747I 0
u = 0.237349 + 1.076610I
a = −1.147780 + 0.610591I
b = −0.027582 + 0.425677I
−2.63280 − 5.54865I 0
u = 0.237349 − 1.076610I
a = −1.147780 − 0.610591I
b = −0.027582 − 0.425677I
−2.63280 + 5.54865I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.005765 + 0.883252I
a = 0.589641 − 1.129420I
b = −0.056422 + 0.405099I
1.89966 + 1.86803I 0
u = −0.005765 − 0.883252I
a = 0.589641 + 1.129420I
b = −0.056422 − 0.405099I
1.89966 − 1.86803I 0
u = −0.403735 + 0.784510I
a = −2.19174 + 0.88183I
b = 0.581199 − 0.356897I
0.85923 − 5.91858I 0
u = −0.403735 − 0.784510I
a = −2.19174 − 0.88183I
b = 0.581199 + 0.356897I
0.85923 + 5.91858I 0
u = 0.371422 + 0.787094I
a = 0.0070495 − 0.1351700I
b = 1.011080 − 0.177294I
4.33591 − 1.94022I 0
u = 0.371422 − 0.787094I
a = 0.0070495 + 0.1351700I
b = 1.011080 + 0.177294I
4.33591 + 1.94022I 0
u = −0.841003 + 0.223705I
a = 0.284479 − 0.112278I
b = −0.673006 − 0.074433I
−2.25095 + 0.34651I 0
u = −0.841003 − 0.223705I
a = 0.284479 + 0.112278I
b = −0.673006 + 0.074433I
−2.25095 − 0.34651I 0
u = −1.051380 + 0.455817I
a = 0.314434 + 1.285070I
b = −0.261410 + 0.979480I
−3.02719 + 0.97268I 0
u = −1.051380 − 0.455817I
a = 0.314434 − 1.285070I
b = −0.261410 − 0.979480I
−3.02719 − 0.97268I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.710349 + 0.965821I
a = 0.857439 − 0.160982I
b = 0.082891 − 0.825004I
−1.76778 + 1.45774I 0
u = −0.710349 − 0.965821I
a = 0.857439 + 0.160982I
b = 0.082891 + 0.825004I
−1.76778 − 1.45774I 0
u = −1.107230 + 0.461492I
a = 0.04341 + 1.85457I
b = 0.273296 + 1.079570I
−3.18843 + 2.99503I 0
u = −1.107230 − 0.461492I
a = 0.04341 − 1.85457I
b = 0.273296 − 1.079570I
−3.18843 − 2.99503I 0
u = 0.815180 + 0.880247I
a = −0.761826 − 0.439004I
b = 0.719767 − 0.400346I
−1.94317 − 5.18262I 0
u = 0.815180 − 0.880247I
a = −0.761826 + 0.439004I
b = 0.719767 + 0.400346I
−1.94317 + 5.18262I 0
u = 1.116560 + 0.439324I
a = 0.08022 + 1.54862I
b = −0.039009 + 1.372180I
−9.63102 + 0.79191I 0
u = 1.116560 − 0.439324I
a = 0.08022 − 1.54862I
b = −0.039009 − 1.372180I
−9.63102 − 0.79191I 0
u = 0.789027 + 0.910695I
a = −0.67809 − 1.69004I
b = 0.352320 − 1.168100I
−0.20907 − 5.85551I 0
u = 0.789027 − 0.910695I
a = −0.67809 + 1.69004I
b = 0.352320 + 1.168100I
−0.20907 + 5.85551I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.378008 + 0.694359I
a = −0.344211 − 0.462805I
b = 0.747558 + 0.545342I
1.06057 + 2.55166I 0
u = −0.378008 − 0.694359I
a = −0.344211 + 0.462805I
b = 0.747558 − 0.545342I
1.06057 − 2.55166I 0
u = −0.048638 + 0.756600I
a = −0.047945 − 0.950954I
b = 0.534017 + 0.425702I
1.74471 + 1.66244I 0
u = −0.048638 − 0.756600I
a = −0.047945 + 0.950954I
b = 0.534017 − 0.425702I
1.74471 − 1.66244I 0
u = 0.492449 + 0.566704I
a = 0.771418 + 1.164870I
b = −0.81169 + 1.29137I
−3.65352 − 10.75530I 0
u = 0.492449 − 0.566704I
a = 0.771418 − 1.164870I
b = −0.81169 − 1.29137I
−3.65352 + 10.75530I 0
u = 0.286637 + 1.219360I
a = −0.168881 − 0.431719I
b = 0.028844 + 0.755252I
2.17253 − 4.26318I 0
u = 0.286637 − 1.219360I
a = −0.168881 + 0.431719I
b = 0.028844 − 0.755252I
2.17253 + 4.26318I 0
u = 0.486425 + 0.563379I
a = −1.045250 + 0.079378I
b = −0.640385 + 0.010959I
−2.75102 − 5.82060I 0
u = 0.486425 − 0.563379I
a = −1.045250 − 0.079378I
b = −0.640385 − 0.010959I
−2.75102 + 5.82060I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.313116 + 0.642269I
a = −2.39093 + 0.59219I
b = 0.444194 − 0.995792I
0.77911 − 4.56765I 0
u = 0.313116 − 0.642269I
a = −2.39093 − 0.59219I
b = 0.444194 + 0.995792I
0.77911 + 4.56765I 0
u = 0.849092 + 0.984812I
a = 0.0009063 − 0.0791770I
b = −0.962471 − 0.291633I
4.35158 − 7.22979I 0
u = 0.849092 − 0.984812I
a = 0.0009063 + 0.0791770I
b = −0.962471 + 0.291633I
4.35158 + 7.22979I 0
u = −0.019971 + 0.695215I
a = −0.098363 + 1.257430I
b = −0.398690 + 0.913231I
−1.96157 + 2.61364I 0
u = −0.019971 − 0.695215I
a = −0.098363 − 1.257430I
b = −0.398690 − 0.913231I
−1.96157 − 2.61364I 0
u = −0.537787 + 1.205160I
a = 0.210881 − 0.278585I
b = −0.620749 + 0.410184I
1.02491 + 4.61907I 0
u = −0.537787 − 1.205160I
a = 0.210881 + 0.278585I
b = −0.620749 − 0.410184I
1.02491 − 4.61907I 0
u = −1.274370 + 0.363997I
a = 0.048473 − 1.174720I
b = −0.02667 − 1.66030I
−7.61228 + 7.01373I 0
u = −1.274370 − 0.363997I
a = 0.048473 + 1.174720I
b = −0.02667 + 1.66030I
−7.61228 − 7.01373I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.671007
a = −0.737065
b = 1.30320
1.59308 11.0900
u = 0.663983 + 0.067086I
a = 0.58880 − 2.03951I
b = 0.264254 + 0.080519I
2.57797 − 1.20400I 0
u = 0.663983 − 0.067086I
a = 0.58880 + 2.03951I
b = 0.264254 − 0.080519I
2.57797 + 1.20400I 0
u = 0.501079 + 1.249280I
a = −0.156135 − 0.249076I
b = 0.775398 + 1.030390I
−0.924328 − 0.718307I 0
u = 0.501079 − 1.249280I
a = −0.156135 + 0.249076I
b = 0.775398 − 1.030390I
−0.924328 + 0.718307I 0
u = −0.645014 + 0.101332I
a = 1.74021 − 3.38475I
b = −0.164322 + 0.168798I
0.84575 + 6.19088I 9.11415 − 2.51135I
u = −0.645014 − 0.101332I
a = 1.74021 + 3.38475I
b = −0.164322 − 0.168798I
0.84575 − 6.19088I 9.11415 + 2.51135I
u = −0.354619 + 0.532658I
a = −0.627502 + 0.919544I
b = 0.72718 + 1.28509I
0.60416 + 4.29525I 7.2577 − 21.0892I
u = −0.354619 − 0.532658I
a = −0.627502 − 0.919544I
b = 0.72718 − 1.28509I
0.60416 − 4.29525I 7.2577 + 21.0892I
u = −0.082230 + 0.629568I
a = 0.870005 − 0.183638I
b = 0.316184 + 0.495357I
0.32682 + 1.54414I 0. − 4.51766I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.082230 − 0.629568I
a = 0.870005 + 0.183638I
b = 0.316184 − 0.495357I
0.32682 − 1.54414I 0. + 4.51766I
u = 0.616655 + 0.135637I
a = 0.55920 − 1.33877I
b = −0.207471 − 1.324640I
−1.10860 − 3.44185I −2.14071 + 11.43318I
u = 0.616655 − 0.135637I
a = 0.55920 + 1.33877I
b = −0.207471 + 1.324640I
−1.10860 + 3.44185I −2.14071 − 11.43318I
u = −0.386815 + 0.455369I
a = 1.78378 − 2.67881I
b = −0.414004 − 1.196830I
−1.27433 + 4.55739I 1.57630 − 4.72702I
u = −0.386815 − 0.455369I
a = 1.78378 + 2.67881I
b = −0.414004 + 1.196830I
−1.27433 − 4.55739I 1.57630 + 4.72702I
u = −1.027910 + 0.956718I
a = −0.0210101 + 0.0221034I
b = 1.262320 − 0.351158I
0.30457 + 12.45930I 0
u = −1.027910 − 0.956718I
a = −0.0210101 − 0.0221034I
b = 1.262320 + 0.351158I
0.30457 − 12.45930I 0
u = −0.739512 + 1.199450I
a = 1.08521 − 1.35800I
b = −0.528464 − 1.084370I
−0.96954 + 9.16972I 0
u = −0.739512 − 1.199450I
a = 1.08521 + 1.35800I
b = −0.528464 + 1.084370I
−0.96954 − 9.16972I 0
u = 0.272194 + 0.506188I
a = −2.08250 − 2.20266I
b = 0.512742 − 0.995656I
0.27761 − 2.60385I 1.00000 − 2.98059I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.272194 − 0.506188I
a = −2.08250 + 2.20266I
b = 0.512742 + 0.995656I
0.27761 + 2.60385I 1.00000 + 2.98059I
u = −0.67343 + 1.27926I
a = 0.270731 + 0.271478I
b = −0.510287 + 0.646689I
0.65851 + 2.05062I 0
u = −0.67343 − 1.27926I
a = 0.270731 − 0.271478I
b = −0.510287 − 0.646689I
0.65851 − 2.05062I 0
u = 1.38197 + 0.51836I
a = −0.105454 + 0.877641I
b = 0.539821 + 1.216610I
−4.56702 + 0.00108I 0
u = 1.38197 − 0.51836I
a = −0.105454 − 0.877641I
b = 0.539821 − 1.216610I
−4.56702 − 0.00108I 0
u = 0.421199 + 0.222821I
a = 2.05831 + 1.81614I
b = −0.467663 + 1.239350I
−6.01029 + 1.27408I −6.17679 − 1.96046I
u = 0.421199 − 0.222821I
a = 2.05831 − 1.81614I
b = −0.467663 − 1.239350I
−6.01029 − 1.27408I −6.17679 + 1.96046I
u = −1.38079 + 0.70608I
a = 0.556827 − 1.204160I
b = −0.443663 − 1.201280I
−5.82093 + 4.49340I 0
u = −1.38079 − 0.70608I
a = 0.556827 + 1.204160I
b = −0.443663 + 1.201280I
−5.82093 − 4.49340I 0
u = −1.37912 + 0.71107I
a = 0.53209 − 1.63790I
b = −0.389641 − 0.580070I
0.96565 + 6.44634I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.37912 − 0.71107I
a = 0.53209 + 1.63790I
b = −0.389641 + 0.580070I
0.96565 − 6.44634I 0
u = −1.31022 + 0.84319I
a = −0.263787 + 1.019110I
b = 0.432358 + 1.286450I
−3.24602 + 5.27863I 0
u = −1.31022 − 0.84319I
a = −0.263787 − 1.019110I
b = 0.432358 − 1.286450I
−3.24602 − 5.27863I 0
u = −1.08973 + 1.21847I
a = 0.77357 − 1.18741I
b = −0.683885 − 1.088740I
−0.20369 + 7.33727I 0
u = −1.08973 − 1.21847I
a = 0.77357 + 1.18741I
b = −0.683885 + 1.088740I
−0.20369 − 7.33727I 0
u = 0.05471 + 1.63846I
a = 0.186685 − 0.094066I
b = −0.16287 + 1.52564I
−0.437960 + 0.283875I 0
u = 0.05471 − 1.63846I
a = 0.186685 + 0.094066I
b = −0.16287 − 1.52564I
−0.437960 − 0.283875I 0
u = 1.19072 + 1.13104I
a = 0.582124 + 1.286320I
b = −0.597381 + 1.217770I
1.47459 − 12.88880I 0
u = 1.19072 − 1.13104I
a = 0.582124 − 1.286320I
b = −0.597381 − 1.217770I
1.47459 + 12.88880I 0
u = 0.241059 + 0.245203I
a = −1.48337 − 2.83446I
b = 0.507447 − 0.994872I
−0.08514 − 2.26722I 2.14871 + 2.34962I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.241059 − 0.245203I
a = −1.48337 + 2.83446I
b = 0.507447 + 0.994872I
−0.08514 + 2.26722I 2.14871 − 2.34962I
u = 1.20108 + 1.15982I
a = −0.660019 − 1.093430I
b = 0.82066 − 1.38978I
−2.41977 − 9.88740I 0
u = 1.20108 − 1.15982I
a = −0.660019 + 1.093430I
b = 0.82066 + 1.38978I
−2.41977 + 9.88740I 0
u = −1.18048 + 1.22022I
a = −0.664548 + 1.169310I
b = 0.70399 + 1.30576I
−2.7940 + 19.3323I 0
u = −1.18048 − 1.22022I
a = −0.664548 − 1.169310I
b = 0.70399 − 1.30576I
−2.7940 − 19.3323I 0
u = −1.34256 + 1.12414I
a = −0.264566 + 1.183590I
b = 0.315795 + 1.245830I
−4.25106 + 5.49372I 0
u = −1.34256 − 1.12414I
a = −0.264566 − 1.183590I
b = 0.315795 − 1.245830I
−4.25106 − 5.49372I 0
u = −0.21029 + 1.74924I
a = −0.046942 − 0.533491I
b = −0.109658 − 0.807035I
−1.03172 + 4.75606I 0
u = −0.21029 − 1.74924I
a = −0.046942 + 0.533491I
b = −0.109658 + 0.807035I
−1.03172 − 4.75606I 0
u = 0.215191 + 0.003179I
a = −0.288092 − 0.507214I
b = −1.02616 + 1.01346I
−1.98954 + 3.03315I −16.8949 + 11.2068I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.215191 − 0.003179I
a = −0.288092 + 0.507214I
b = −1.02616 − 1.01346I
−1.98954 − 3.03315I −16.8949 − 11.2068I
u = 1.62645 + 0.80232I
a = 0.333854 + 1.297440I
b = −0.278509 + 0.742584I
2.84015 + 0.51393I 0
u = 1.62645 − 0.80232I
a = 0.333854 − 1.297440I
b = −0.278509 − 0.742584I
2.84015 − 0.51393I 0
u = 0.137737 + 0.072968I
a = 10.8391 + 10.8235I
b = 0.096180 − 0.606963I
2.43152 + 1.27971I 7.88421 − 7.51636I
u = 0.137737 − 0.072968I
a = 10.8391 − 10.8235I
b = 0.096180 + 0.606963I
2.43152 − 1.27971I 7.88421 + 7.51636I
u = −1.85461
a = 0.0159751
b = −2.12615
0.212503 0
u = 0.0729796
a = 10.2003
b = −1.18497
3.14087 2.53230
u = 0.81756 + 1.75216I
a = 0.073400 − 0.732198I
b = −0.343361 − 0.849667I
2.44577 + 3.54875I 0
u = 0.81756 − 1.75216I
a = 0.073400 + 0.732198I
b = −0.343361 + 0.849667I
2.44577 − 3.54875I 0
u = 1.05865 + 1.67100I
a = −0.663046 − 0.933414I
b = 0.404531 − 1.154110I
−5.60691 − 8.43739I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.05865 − 1.67100I
a = −0.663046 + 0.933414I
b = 0.404531 + 1.154110I
−5.60691 + 8.43739I 0
u = −1.59209 + 1.84166I
a = −0.000834 − 0.701556I
b = 0.399961 − 1.184290I
−2.84578 − 9.33184I 0
u = −1.59209 − 1.84166I
a = −0.000834 + 0.701556I
b = 0.399961 + 1.184290I
−2.84578 + 9.33184I 0
16
II. I
u
2
= h−4.35 × 10
21
u
22
+ 1.82 × 10
22
u
21
+ · · · + 8.16 × 10
21
b − 4.14 ×
10
21
, −6.82 × 10
21
u
22
+ 2.54 × 10
22
u
21
+ · · · + 8.16 × 10
21
a + 2.29 ×
10
22
, 2u
23
− 7u
22
+ · · · + 3u + 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
2
=
0.835852u
22
− 3.10851u
21
+ ··· − 3.66936u − 2.80350
0.532913u
22
− 2.23460u
21
+ ··· − 0.202407u + 0.507100
a
7
=
1
u
2
a
1
=
0.302939u
22
− 0.873905u
21
+ ··· − 3.46695u − 3.31060
0.532913u
22
− 2.23460u
21
+ ··· − 0.202407u + 0.507100
a
5
=
0.765078u
22
− 1.71441u
21
+ ··· + 3.64109u − 1.12180
−0.252428u
22
+ 0.918443u
21
+ ··· − 2.42790u − 0.489928
a
11
=
3.07452u
22
− 10.0533u
21
+ ··· + 1.53099u + 0.299526
0.0198298u
22
− 0.547025u
21
+ ··· − 2.30497u − 0.997314
a
8
=
2.50053u
22
− 8.35229u
21
+ ··· − 0.204193u + 1.08926
−0.272674u
22
+ 0.715148u
21
+ ··· − 2.46423u − 0.968317
a
4
=
0.818534u
22
− 2.22904u
21
+ ··· + 4.24140u − 1.11356
−0.406505u
22
+ 1.58533u
21
+ ··· − 1.96333u − 0.326161
a
3
=
1.53473u
22
− 5.88655u
21
+ ··· − 7.60119u − 3.10138
−0.169107u
22
+ 0.355678u
21
+ ··· − 1.15588u + 0.277971
a
9
=
3.32473u
22
− 11.2128u
21
+ ··· + 3.72080u + 1.95055
−1.03503u
22
+ 3.37309u
21
+ ··· − 2.78142u − 1.21936
a
9
=
3.32473u
22
− 11.2128u
21
+ ··· + 3.72080u + 1.95055
−1.03503u
22
+ 3.37309u
21
+ ··· − 2.78142u − 1.21936
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
19173886031431266346194
2719422632399081754611
u
22
+
217010978696549455762583
8158267897197245263833
u
21
+ ··· −
51651609369945802546795
8158267897197245263833
u +
4548533749153127815292
2719422632399081754611
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
2(2u
23
+ 3u
22
+ ··· + 2u + 1)
c
2
u
23
− 3u
22
+ ··· + 5u − 1
c
3
u
23
+ 8u
22
+ ··· + 5u − 4
c
4
u
23
+ 4u
20
+ ··· + 5u + 1
c
5
2(2u
23
− 3u
22
+ ··· + 2u − 1)
c
6
2(2u
23
− 7u
22
+ ··· + 3u + 1)
c
7
u
23
− 2u
22
+ ··· + 21u + 2
c
8
u
23
+ 3u
22
+ ··· + 5u + 1
c
9
u
23
− u
22
+ ··· − 32u + 8
c
10
2(2u
23
+ u
22
+ ··· + 4u + 1)
c
11
4(4u
23
− 39u
22
+ ··· − u − 1)
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
4(4y
23
+ 59y
22
+ ··· − 26y −1)
c
2
, c
8
y
23
− 19y
22
+ ··· + 17y −1
c
3
y
23
+ 2y
21
+ ··· − 79y −16
c
4
y
23
+ 6y
21
+ ··· + 11y −1
c
6
4(4y
23
+ 43y
22
+ ··· + 3y −1)
c
7
y
23
− 10y
22
+ ··· + 61y −4
c
9
y
23
− 19y
22
+ ··· + 320y −64
c
10
4(4y
23
+ 15y
22
+ ··· + 24y −1)
c
11
16(16y
23
+ 23y
22
+ ··· + 15y −1)
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.990364 + 0.165005I
a = −1.17712 − 2.87962I
b = 0.074846 − 0.559580I
0.45628 − 6.29930I −10.47290 + 7.29164I
u = 0.990364 − 0.165005I
a = −1.17712 + 2.87962I
b = 0.074846 + 0.559580I
0.45628 + 6.29930I −10.47290 − 7.29164I
u = −0.732286 + 0.640877I
a = −1.71021 + 1.62292I
b = 0.189851 + 0.738931I
2.15439 − 0.76708I 0.34346 − 2.42258I
u = −0.732286 − 0.640877I
a = −1.71021 − 1.62292I
b = 0.189851 − 0.738931I
2.15439 + 0.76708I 0.34346 + 2.42258I
u = −0.333654 + 1.118630I
a = 0.160907 − 0.687866I
b = −0.051237 + 0.477997I
2.67620 + 4.28141I 12.68262 − 5.40184I
u = −0.333654 − 1.118630I
a = 0.160907 + 0.687866I
b = −0.051237 − 0.477997I
2.67620 − 4.28141I 12.68262 + 5.40184I
u = 0.556461 + 1.142430I
a = −0.074206 − 0.329987I
b = −0.461847 − 1.168820I
−3.50834 + 8.81487I −3.31032 − 6.21747I
u = 0.556461 − 1.142430I
a = −0.074206 + 0.329987I
b = −0.461847 + 1.168820I
−3.50834 − 8.81487I −3.31032 + 6.21747I
u = 0.193675 + 0.631493I
a = −1.166350 − 0.236551I
b = 0.544774 − 1.045690I
0.48442 − 3.74945I 2.31166 + 3.47327I
u = 0.193675 − 0.631493I
a = −1.166350 + 0.236551I
b = 0.544774 + 1.045690I
0.48442 + 3.74945I 2.31166 − 3.47327I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.673792 + 1.201010I
a = 0.171730 − 0.086179I
b = 0.740418 + 1.058970I
0.032703 − 0.467420I 5.82505 − 2.66904I
u = 0.673792 − 1.201010I
a = 0.171730 + 0.086179I
b = 0.740418 − 1.058970I
0.032703 + 0.467420I 5.82505 + 2.66904I
u = 0.234386 + 0.526440I
a = −2.04454 − 2.15529I
b = 0.385732 − 0.993312I
0.53356 − 3.30498I 4.54639 + 7.11013I
u = 0.234386 − 0.526440I
a = −2.04454 + 2.15529I
b = 0.385732 + 0.993312I
0.53356 + 3.30498I 4.54639 − 7.11013I
u = −0.85634 + 1.19785I
a = 0.99658 − 1.25829I
b = −0.648239 − 1.099110I
−1.41624 + 8.52463I −2.57806 − 5.98439I
u = −0.85634 − 1.19785I
a = 0.99658 + 1.25829I
b = −0.648239 + 1.099110I
−1.41624 − 8.52463I −2.57806 + 5.98439I
u = −0.312350 + 0.277767I
a = 0.429615 + 1.094430I
b = −0.80986 + 1.17368I
−1.92062 + 3.22933I −4.3570 − 23.3452I
u = −0.312350 − 0.277767I
a = 0.429615 − 1.094430I
b = −0.80986 − 1.17368I
−1.92062 − 3.22933I −4.3570 + 23.3452I
u = 0.20133 + 1.58612I
a = −0.219540 + 0.568782I
b = −0.057229 + 0.695931I
−0.83524 − 4.45780I 4.08352 − 1.73203I
u = 0.20133 − 1.58612I
a = −0.219540 − 0.568782I
b = −0.057229 − 0.695931I
−0.83524 + 4.45780I 4.08352 + 1.73203I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.303654
a = −3.11818
b = 1.00967
4.08593 11.5230
u = 1.28644 + 1.13639I
a = −0.307775 − 1.128130I
b = 0.337963 − 1.266670I
−3.98995 − 5.61846I 2.9295 + 15.2577I
u = 1.28644 − 1.13639I
a = −0.307775 + 1.128130I
b = 0.337963 + 1.266670I
−3.98995 + 5.61846I 2.9295 − 15.2577I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
4(2u
23
+ 3u
22
+ ··· + 2u + 1)(2u
113
+ u
112
+ ··· − u − 1)
c
2
(u
23
− 3u
22
+ ··· + 5u − 1)(u
113
− 2u
112
+ ··· − 3534u + 4993)
c
3
(u
23
+ 8u
22
+ ··· + 5u − 4)(u
113
− 3u
112
+ ··· − 1271u + 44)
c
4
(u
23
+ 4u
20
+ ··· + 5u + 1)(u
113
+ 13u
112
+ ··· − 4u − 1)
c
5
4(2u
23
− 3u
22
+ ··· + 2u − 1)(2u
113
+ u
112
+ ··· − u − 1)
c
6
4(2u
23
− 7u
22
+ ··· + 3u + 1)(2u
113
+ 17u
112
+ ··· + 38u − 1)
c
7
(u
23
− 2u
22
+ ··· + 21u + 2)(u
113
+ u
112
+ ··· − 34861u + 12214)
c
8
(u
23
+ 3u
22
+ ··· + 5u + 1)(u
113
− 2u
112
+ ··· − 3534u + 4993)
c
9
(u
23
− u
22
+ ··· − 32u + 8)(u
113
+ 2u
112
+ ··· + 26104u + 13016)
c
10
4(2u
23
+ u
22
+ ··· + 4u + 1)(2u
113
+ 3u
112
+ ··· + 23u + 1)
c
11
16(4u
23
− 39u
22
+ ··· − u − 1)(4u
113
− 35u
112
+ ··· + 12u + 1)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
16(4y
23
+ 59y
22
+ ··· − 26y −1)(4y
113
+ 255y
112
+ ··· − 31y −1)
c
2
, c
8
(y
23
− 19y
22
+ ··· + 17y −1)
· (y
113
− 78y
112
+ ··· + 591816960y −24930049)
c
3
(y
23
+ 2y
21
+ ··· − 79y −16)(y
113
− 11y
112
+ ··· + 228913y −1936)
c
4
(y
23
+ 6y
21
+ ··· + 11y −1)(y
113
− 11y
112
+ ··· − 158y −1)
c
6
16(4y
23
+ 43y
22
+ ··· + 3y −1)(4y
113
+ 47y
112
+ ··· + 270y −1)
c
7
(y
23
− 10y
22
+ ··· + 61y −4)
· (y
113
− 25y
112
+ ··· + 4911099153y −149181796)
c
9
(y
23
− 19y
22
+ ··· + 320y −64)
· (y
113
− 46y
112
+ ··· + 1585145728y −169416256)
c
10
16(4y
23
+ 15y
22
+ ··· + 24y −1)(4y
113
+ 3y
112
+ ··· + 1415y −1)
c
11
256(16y
23
+ 23y
22
+ ··· + 15y −1)(16y
113
− 377y
112
+ ··· − 2y −1)
24
