11a
301
(K11a
301
)
A knot diagram
1
Linearized knot diagam
10 6 1 11 2 9 4 5 3 8 7
Solving Sequence
3,6 2,10
1 4 5 9 7 8 11
c
2
c
1
c
3
c
5
c
9
c
6
c
8
c
11
c
4
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.16899 × 10
426
u
123
+ 3.22194 × 10
424
u
122
+ ··· + 2.77126 × 10
424
b − 1.62179 × 10
428
,
− 3.58082 × 10
428
u
123
+ 4.35420 × 10
427
u
122
+ ··· + 3.85206 × 10
426
a − 5.63094 × 10
430
,
u
124
− u
123
+ ··· + 72u − 139i
I
u
2
= h−9566660926250u
24
− 22937945374331u
23
+ ··· + 19862837987731b − 37700474512606,
18263853921862u
24
− 37210165575977u
23
+ ··· + 19862837987731a − 129534774263607,
u
25
− 7u
23
+ ··· − 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 149 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−1.17 × 10
426
u
123
+ 3.22 × 10
424
u
122
+ · · · + 2.77 × 10
424
b − 1.62 ×
10
428
, −3.58 × 10
428
u
123
+ 4.35 × 10
427
u
122
+ · · · + 3.85 × 10
426
a − 5.63 ×
10
430
, u
124
− u
123
+ · · · + 72u − 139i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
10
=
92.9586u
123
− 11.3036u
122
+ ··· + 8759.18u + 14618.0
42.1826u
123
− 1.16263u
122
+ ··· + 2521.74u + 5852.16
a
1
=
−5.00646u
123
+ 4.79793u
122
+ ··· − 2365.30u − 1732.01
−31.9252u
123
+ 10.1950u
122
+ ··· − 5531.06u − 6308.34
a
4
=
−124.235u
123
+ 22.8343u
122
+ ··· − 15054.5u − 21208.6
−85.2237u
123
+ 10.8039u
122
+ ··· − 8254.49u − 13491.4
a
5
=
−u
−u
3
+ u
a
9
=
50.7760u
123
− 10.1409u
122
+ ··· + 6237.44u + 8765.86
42.1826u
123
− 1.16263u
122
+ ··· + 2521.74u + 5852.16
a
7
=
34.5243u
123
− 6.25865u
122
+ ··· + 3698.51u + 5768.67
11.4223u
123
− 0.700100u
122
+ ··· + 943.261u + 1677.60
a
8
=
102.195u
123
− 14.9472u
122
+ ··· + 10619.6u + 16588.2
32.7163u
123
− 0.757045u
122
+ ··· + 1930.76u + 4508.98
a
11
=
−19.4270u
123
+ 10.0533u
122
+ ··· − 5043.28u − 4731.63
−16.2148u
123
+ 7.73509u
122
+ ··· − 3918.69u − 3758.08
a
11
=
−19.4270u
123
+ 10.0533u
122
+ ··· − 5043.28u − 4731.63
−16.2148u
123
+ 7.73509u
122
+ ··· − 3918.69u − 3758.08
(ii) Obstruction class = −1
(iii) Cusp Shapes = −3231.64u
123
+ 356.760u
122
+ ··· − 305355.u − 504514.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
124
− 4u
123
+ ··· − 479u + 107
c
2
, c
5
u
124
− u
123
+ ··· + 72u − 139
c
3
u
124
− 9u
123
+ ··· + 97u − 1
c
4
u
124
− u
123
+ ··· + 154u + 19
c
6
u
124
+ 3u
123
+ ··· − 5094u + 1919
c
7
u
124
− 3u
123
+ ··· + 19u − 1
c
8
u
124
− u
123
+ ··· + 104u + 13
c
9
u
124
− 13u
122
+ ··· − 27900u − 5737
c
10
u
124
+ 3u
123
+ ··· − 26u − 5
c
11
u
124
+ u
123
+ ··· − 23u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
124
− 32y
123
+ ··· − 782845y + 11449
c
2
, c
5
y
124
− 75y
123
+ ··· − 605108y + 19321
c
3
y
124
+ 27y
123
+ ··· − 8505y + 1
c
4
y
124
+ 3y
123
+ ··· + 15842y + 361
c
6
y
124
+ 11y
123
+ ··· + 56088414y + 3682561
c
7
y
124
− 17y
123
+ ··· − 287y + 1
c
8
y
124
− 23y
123
+ ··· + 29224y + 169
c
9
y
124
− 26y
123
+ ··· + 93166514y + 32913169
c
10
y
124
− 5y
123
+ ··· − 7526y + 25
c
11
y
124
− 7y
123
+ ··· − 113y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.974071 + 0.190755I
a = −0.550421 − 0.599368I
b = 0.18852 − 1.65134I
−0.577215 + 1.239640I 0
u = 0.974071 − 0.190755I
a = −0.550421 + 0.599368I
b = 0.18852 + 1.65134I
−0.577215 − 1.239640I 0
u = −0.902521 + 0.400409I
a = −0.609673 − 1.244710I
b = −1.054330 + 0.045528I
3.54338 + 2.85043I 0
u = −0.902521 − 0.400409I
a = −0.609673 + 1.244710I
b = −1.054330 − 0.045528I
3.54338 − 2.85043I 0
u = 0.415249 + 0.881418I
a = 0.306635 + 0.205268I
b = −0.737227 − 0.595686I
1.58492 + 6.17096I 0
u = 0.415249 − 0.881418I
a = 0.306635 − 0.205268I
b = −0.737227 + 0.595686I
1.58492 − 6.17096I 0
u = −1.026590 + 0.019415I
a = 1.30114 − 1.03924I
b = 0.811133 + 0.640015I
4.16687 + 3.71959I 0
u = −1.026590 − 0.019415I
a = 1.30114 + 1.03924I
b = 0.811133 − 0.640015I
4.16687 − 3.71959I 0
u = −0.967014 + 0.360220I
a = −1.129450 + 0.668006I
b = −0.017238 − 0.228701I
−0.31910 − 5.18786I 0
u = −0.967014 − 0.360220I
a = −1.129450 − 0.668006I
b = −0.017238 + 0.228701I
−0.31910 + 5.18786I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.018330 + 0.170276I
a = −2.51955 − 0.33224I
b = −1.51339 − 0.05960I
1.91161 + 3.30620I 0
u = 1.018330 − 0.170276I
a = −2.51955 + 0.33224I
b = −1.51339 + 0.05960I
1.91161 − 3.30620I 0
u = −0.981740 + 0.336373I
a = 0.141564 + 0.271103I
b = 0.172395 − 0.978948I
0.03669 − 4.64999I 0
u = −0.981740 − 0.336373I
a = 0.141564 − 0.271103I
b = 0.172395 + 0.978948I
0.03669 + 4.64999I 0
u = −1.003740 + 0.303527I
a = 0.137773 + 1.402230I
b = 0.58661 + 1.97658I
0.79053 − 10.52770I 0
u = −1.003740 − 0.303527I
a = 0.137773 − 1.402230I
b = 0.58661 − 1.97658I
0.79053 + 10.52770I 0
u = 0.279917 + 0.908578I
a = −0.083523 + 0.475369I
b = 0.643948 + 0.220659I
0.412874 + 0.819655I 0
u = 0.279917 − 0.908578I
a = −0.083523 − 0.475369I
b = 0.643948 − 0.220659I
0.412874 − 0.819655I 0
u = 0.922490 + 0.200559I
a = 3.33471 + 0.42892I
b = 0.366441 + 0.434684I
0.58612 + 9.17333I 0
u = 0.922490 − 0.200559I
a = 3.33471 − 0.42892I
b = 0.366441 − 0.434684I
0.58612 − 9.17333I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.378914 + 0.858907I
a = −0.115862 − 0.434906I
b = 1.108480 − 0.790196I
−0.68132 − 4.84270I 0
u = 0.378914 − 0.858907I
a = −0.115862 + 0.434906I
b = 1.108480 + 0.790196I
−0.68132 + 4.84270I 0
u = −0.130351 + 1.065560I
a = 0.1316640 − 0.0246824I
b = −0.928596 − 0.693787I
−1.66000 + 5.39588I 0
u = −0.130351 − 1.065560I
a = 0.1316640 + 0.0246824I
b = −0.928596 + 0.693787I
−1.66000 − 5.39588I 0
u = −0.164338 + 0.905321I
a = −0.137158 + 0.359740I
b = −0.502584 − 0.731753I
−3.01569 + 1.80444I 0
u = −0.164338 − 0.905321I
a = −0.137158 − 0.359740I
b = −0.502584 + 0.731753I
−3.01569 − 1.80444I 0
u = −0.620175 + 0.676778I
a = 0.824982 + 0.856254I
b = 0.926159 + 0.574802I
−1.33088 + 2.75508I 0
u = −0.620175 − 0.676778I
a = 0.824982 − 0.856254I
b = 0.926159 − 0.574802I
−1.33088 − 2.75508I 0
u = 0.910883 + 0.103249I
a = −0.51429 + 2.60594I
b = −0.48468 + 2.94007I
1.26801 + 2.24082I 0
u = 0.910883 − 0.103249I
a = −0.51429 − 2.60594I
b = −0.48468 − 2.94007I
1.26801 − 2.24082I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.082870 + 0.066267I
a = −1.65298 + 1.04405I
b = −0.805102 + 0.004521I
4.35169 − 3.41606I 0
u = −1.082870 − 0.066267I
a = −1.65298 − 1.04405I
b = −0.805102 − 0.004521I
4.35169 + 3.41606I 0
u = 1.053560 + 0.259839I
a = 0.898561 − 0.879190I
b = 1.15540 − 1.00135I
1.29889 + 0.96212I 0
u = 1.053560 − 0.259839I
a = 0.898561 + 0.879190I
b = 1.15540 + 1.00135I
1.29889 − 0.96212I 0
u = 0.887361
a = −4.65221
b = −3.43727
−0.348139 0
u = −0.056287 + 1.124510I
a = 0.196703 + 0.216907I
b = 0.823769 + 0.715592I
0.63793 + 5.24548I 0
u = −0.056287 − 1.124510I
a = 0.196703 − 0.216907I
b = 0.823769 − 0.715592I
0.63793 − 5.24548I 0
u = −0.473726 + 0.726376I
a = 0.938944 − 0.217302I
b = −0.275723 − 0.695996I
−1.87990 + 0.88255I 0
u = −0.473726 − 0.726376I
a = 0.938944 + 0.217302I
b = −0.275723 + 0.695996I
−1.87990 − 0.88255I 0
u = 0.135528 + 1.139780I
a = −0.085154 + 0.123003I
b = −0.995014 + 0.762423I
−0.38053 − 13.73560I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.135528 − 1.139780I
a = −0.085154 − 0.123003I
b = −0.995014 − 0.762423I
−0.38053 + 13.73560I 0
u = −0.666621 + 0.487837I
a = −1.86929 − 0.95932I
b = −1.325170 + 0.034639I
−1.16295 − 7.26280I 0
u = −0.666621 − 0.487837I
a = −1.86929 + 0.95932I
b = −1.325170 − 0.034639I
−1.16295 + 7.26280I 0
u = −0.754686 + 0.314010I
a = 2.00776 + 0.12441I
b = 0.315807 − 0.807809I
−2.56211 − 1.56337I 0
u = −0.754686 − 0.314010I
a = 2.00776 − 0.12441I
b = 0.315807 + 0.807809I
−2.56211 + 1.56337I 0
u = 0.286796 + 1.148040I
a = 0.228907 − 0.211489I
b = 0.989083 − 0.438122I
1.05806 − 3.93290I 0
u = 0.286796 − 1.148040I
a = 0.228907 + 0.211489I
b = 0.989083 + 0.438122I
1.05806 + 3.93290I 0
u = −0.728555 + 0.361797I
a = 1.304420 − 0.161462I
b = 0.104359 − 1.261440I
−2.62639 − 1.64108I 0
u = −0.728555 − 0.361797I
a = 1.304420 + 0.161462I
b = 0.104359 + 1.261440I
−2.62639 + 1.64108I 0
u = −0.723255 + 0.345420I
a = 1.266870 + 0.189137I
b = 0.080366 − 1.149700I
−2.63047 − 1.63595I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.723255 − 0.345420I
a = 1.266870 − 0.189137I
b = 0.080366 + 1.149700I
−2.63047 + 1.63595I 0
u = 0.787800 + 0.133246I
a = −2.62792 − 0.88042I
b = −0.516699 − 0.958806I
−1.281750 + 0.477205I 0
u = 0.787800 − 0.133246I
a = −2.62792 + 0.88042I
b = −0.516699 + 0.958806I
−1.281750 − 0.477205I 0
u = 0.778187 + 0.053999I
a = 1.61480 − 0.37114I
b = 1.37632 − 1.01669I
0.90588 − 1.95079I 0
u = 0.778187 − 0.053999I
a = 1.61480 + 0.37114I
b = 1.37632 + 1.01669I
0.90588 + 1.95079I 0
u = 0.718578 + 0.271560I
a = 0.382999 − 1.234620I
b = −0.353143 + 0.997828I
0.14344 − 6.85085I 0
u = 0.718578 − 0.271560I
a = 0.382999 + 1.234620I
b = −0.353143 − 0.997828I
0.14344 + 6.85085I 0
u = −1.140130 + 0.497947I
a = 1.076980 + 0.259507I
b = 0.836530 − 0.927323I
0.30443 − 5.54665I 0
u = −1.140130 − 0.497947I
a = 1.076980 − 0.259507I
b = 0.836530 + 0.927323I
0.30443 + 5.54665I 0
u = 1.237590 + 0.200677I
a = 1.58426 − 1.36687I
b = 0.612212 + 0.277647I
3.80630 + 8.79406I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.237590 − 0.200677I
a = 1.58426 + 1.36687I
b = 0.612212 − 0.277647I
3.80630 − 8.79406I 0
u = 0.306946 + 1.234070I
a = −0.152024 + 0.100168I
b = −0.300540 + 0.478215I
−4.24023 + 4.13181I 0
u = 0.306946 − 1.234070I
a = −0.152024 − 0.100168I
b = −0.300540 − 0.478215I
−4.24023 − 4.13181I 0
u = 1.227070 + 0.361377I
a = 1.77999 − 0.19483I
b = 1.53283 + 0.92594I
7.16425 + 1.23899I 0
u = 1.227070 − 0.361377I
a = 1.77999 + 0.19483I
b = 1.53283 − 0.92594I
7.16425 − 1.23899I 0
u = −1.230140 + 0.372722I
a = −1.85670 − 0.21833I
b = −1.13837 + 0.91038I
5.49496 − 6.43122I 0
u = −1.230140 − 0.372722I
a = −1.85670 + 0.21833I
b = −1.13837 − 0.91038I
5.49496 + 6.43122I 0
u = 0.209325 + 0.665517I
a = 0.427567 − 0.436139I
b = 0.873908 + 0.720217I
1.42391 + 2.71255I 0
u = 0.209325 − 0.665517I
a = 0.427567 + 0.436139I
b = 0.873908 − 0.720217I
1.42391 − 2.71255I 0
u = 1.175830 + 0.567049I
a = −1.77982 + 0.42085I
b = −1.50816 − 0.91766I
1.83731 + 10.15770I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.175830 − 0.567049I
a = −1.77982 − 0.42085I
b = −1.50816 + 0.91766I
1.83731 − 10.15770I 0
u = −1.161980 + 0.628531I
a = 0.812408 + 0.785645I
b = 1.275580 − 0.191268I
5.32803 − 7.42169I 0
u = −1.161980 − 0.628531I
a = 0.812408 − 0.785645I
b = 1.275580 + 0.191268I
5.32803 + 7.42169I 0
u = −0.202862 + 0.644395I
a = 0.556626 − 0.439222I
b = −0.971016 + 0.386930I
3.09709 + 2.40486I 0
u = −0.202862 − 0.644395I
a = 0.556626 + 0.439222I
b = −0.971016 − 0.386930I
3.09709 − 2.40486I 0
u = −1.282750 + 0.332541I
a = −1.65423 + 0.05968I
b = −1.282310 + 0.497854I
5.41452 − 4.79102I 0
u = −1.282750 − 0.332541I
a = −1.65423 − 0.05968I
b = −1.282310 − 0.497854I
5.41452 + 4.79102I 0
u = −1.298610 + 0.346791I
a = 1.69914 − 0.20196I
b = 1.52916 − 1.06885I
6.66391 − 10.08310I 0
u = −1.298610 − 0.346791I
a = 1.69914 + 0.20196I
b = 1.52916 + 1.06885I
6.66391 + 10.08310I 0
u = 0.604325 + 0.233411I
a = 1.84343 + 0.30852I
b = 0.967821 + 0.447808I
1.125910 − 0.058649I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.604325 − 0.233411I
a = 1.84343 − 0.30852I
b = 0.967821 − 0.447808I
1.125910 + 0.058649I 0
u = 1.185910 + 0.649910I
a = −0.580653 + 0.717763I
b = −0.801512 + 0.145810I
3.67966 + 2.39413I 0
u = 1.185910 − 0.649910I
a = −0.580653 − 0.717763I
b = −0.801512 − 0.145810I
3.67966 − 2.39413I 0
u = −1.274830 + 0.478814I
a = 1.50288 + 0.28827I
b = 0.816944 − 0.720888I
0.50756 − 6.82066I 0
u = −1.274830 − 0.478814I
a = 1.50288 − 0.28827I
b = 0.816944 + 0.720888I
0.50756 + 6.82066I 0
u = 1.361950 + 0.132338I
a = −0.695642 − 0.556534I
b = −0.511936 − 1.025280I
3.21210 + 0.97964I 0
u = 1.361950 − 0.132338I
a = −0.695642 + 0.556534I
b = −0.511936 + 1.025280I
3.21210 − 0.97964I 0
u = −1.362380 + 0.228703I
a = −1.299050 − 0.539427I
b = −0.941017 + 0.180195I
7.28528 − 0.60219I 0
u = −1.362380 − 0.228703I
a = −1.299050 + 0.539427I
b = −0.941017 − 0.180195I
7.28528 + 0.60219I 0
u = 1.247090 + 0.604854I
a = 1.270370 − 0.100290I
b = 0.921060 + 0.661147I
−1.12331 + 2.07608I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.247090 − 0.604854I
a = 1.270370 + 0.100290I
b = 0.921060 − 0.661147I
−1.12331 − 2.07608I 0
u = −0.130974 + 1.391330I
a = −0.0691127 + 0.1187760I
b = 0.303924 + 0.360032I
−4.06171 + 4.34396I 0
u = −0.130974 − 1.391330I
a = −0.0691127 − 0.1187760I
b = 0.303924 − 0.360032I
−4.06171 − 4.34396I 0
u = −1.29947 + 0.56604I
a = 1.52653 + 0.24016I
b = 1.31484 − 1.03648I
1.99861 − 11.17670I 0
u = −1.29947 − 0.56604I
a = 1.52653 − 0.24016I
b = 1.31484 + 1.03648I
1.99861 + 11.17670I 0
u = 1.38103 + 0.32486I
a = 0.899456 − 0.301151I
b = 1.106960 + 0.221913I
3.58744 − 0.34494I 0
u = 1.38103 − 0.32486I
a = 0.899456 + 0.301151I
b = 1.106960 − 0.221913I
3.58744 + 0.34494I 0
u = 0.580493
a = 1.40164
b = 0.803283
1.11567 9.71800
u = 1.27280 + 0.66609I
a = −0.605546 + 0.480238I
b = −0.664241 − 0.474436I
3.09909 + 5.04243I 0
u = 1.27280 − 0.66609I
a = −0.605546 − 0.480238I
b = −0.664241 + 0.474436I
3.09909 − 5.04243I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.33096 + 0.55807I
a = −1.64134 − 0.10295I
b = −1.32194 + 0.87901I
4.62342 − 11.12340I 0
u = −1.33096 − 0.55807I
a = −1.64134 + 0.10295I
b = −1.32194 − 0.87901I
4.62342 + 11.12340I 0
u = −0.353484 + 0.426613I
a = 1.45741 − 0.05629I
b = −0.103953 + 0.615400I
−1.90205 + 1.81393I 0
u = −0.353484 − 0.426613I
a = 1.45741 + 0.05629I
b = −0.103953 − 0.615400I
−1.90205 − 1.81393I 0
u = 1.32500 + 0.59302I
a = 1.63291 − 0.22353I
b = 1.36335 + 0.98073I
3.3644 + 19.8329I 0
u = 1.32500 − 0.59302I
a = 1.63291 + 0.22353I
b = 1.36335 − 0.98073I
3.3644 − 19.8329I 0
u = 1.30440 + 0.63891I
a = −1.45468 + 0.41014I
b = −1.33399 − 0.63559I
4.33583 + 10.29570I 0
u = 1.30440 − 0.63891I
a = −1.45468 − 0.41014I
b = −1.33399 + 0.63559I
4.33583 − 10.29570I 0
u = 1.44240 + 0.31637I
a = −0.809487 + 0.607107I
b = −0.642803 − 0.062231I
6.05427 + 0.44106I 0
u = 1.44240 − 0.31637I
a = −0.809487 − 0.607107I
b = −0.642803 + 0.062231I
6.05427 − 0.44106I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.47872
a = −1.68740
b = −0.848700
7.51916 0
u = −1.35588 + 0.60851I
a = −1.068080 + 0.072365I
b = −0.908541 + 0.909807I
−0.03985 − 10.93610I 0
u = −1.35588 − 0.60851I
a = −1.068080 − 0.072365I
b = −0.908541 − 0.909807I
−0.03985 + 10.93610I 0
u = −0.406025 + 0.276507I
a = −3.44365 + 0.11048I
b = −0.957307 + 0.818654I
−0.84000 + 7.70761I 0. − 3.67559I
u = −0.406025 − 0.276507I
a = −3.44365 − 0.11048I
b = −0.957307 − 0.818654I
−0.84000 − 7.70761I 0. + 3.67559I
u = −0.222879 + 0.437713I
a = 1.55971 + 1.03665I
b = −0.361004 − 0.071038I
−1.81230 + 1.33593I −2.04288 − 1.77817I
u = −0.222879 − 0.437713I
a = 1.55971 − 1.03665I
b = −0.361004 + 0.071038I
−1.81230 − 1.33593I −2.04288 + 1.77817I
u = 1.38822 + 0.62525I
a = 0.485638 − 0.270242I
b = 0.801730 + 0.353444I
4.35720 + 0.37879I 0
u = 1.38822 − 0.62525I
a = 0.485638 + 0.270242I
b = 0.801730 − 0.353444I
4.35720 − 0.37879I 0
u = −1.51152 + 0.32263I
a = 0.773892 + 0.510468I
b = 0.905113 + 0.082409I
5.24614 + 8.13622I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.51152 − 0.32263I
a = 0.773892 − 0.510468I
b = 0.905113 − 0.082409I
5.24614 − 8.13622I 0
u = 1.63558
a = −1.22916
b = −0.672269
6.58901 0
u = 0.204781 + 0.248646I
a = 1.43302 + 0.84174I
b = 0.524269 + 0.994387I
0.63025 + 2.44930I 0.344766 − 0.605560I
u = 0.204781 − 0.248646I
a = 1.43302 − 0.84174I
b = 0.524269 − 0.994387I
0.63025 − 2.44930I 0.344766 + 0.605560I
17
II.
I
u
2
= h−9.57×10
12
u
24
−2.29×10
13
u
23
+· · ·+1.99×10
13
b−3.77×10
13
, 1.83×
10
13
u
24
−3.72×10
13
u
23
+· · ·+1.99×10
13
a−1.30×10
14
, u
25
−7u
23
+· · ·−2u−1i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
10
=
−0.919499u
24
+ 1.87336u
23
+ ··· + 9.01043u + 6.52146
0.481636u
24
+ 1.15482u
23
+ ··· + 1.50120u + 1.89804
a
1
=
1.63797u
24
+ 1.05045u
23
+ ··· + 3.06790u + 4.17197
−1.08477u
24
− 0.826635u
23
+ ··· − 6.38423u − 1.55079
a
4
=
2.08841u
24
+ 2.46628u
23
+ ··· + 14.4424u + 5.35519
−0.490490u
24
+ 1.75251u
23
+ ··· + 7.12683u + 3.09157
a
5
=
−u
−u
3
+ u
a
9
=
−1.40113u
24
+ 0.718539u
23
+ ··· + 7.50924u + 4.62342
0.481636u
24
+ 1.15482u
23
+ ··· + 1.50120u + 1.89804
a
7
=
0.291964u
24
+ 2.53805u
23
+ ··· + 9.23640u + 6.15545
−2.95424u
24
− 0.433937u
23
+ ··· − 7.62230u − 0.618631
a
8
=
−1.71564u
24
+ 2.19576u
23
+ ··· + 10.8410u + 6.44072
−0.0985707u
24
+ 0.842274u
23
+ ··· + 0.809417u + 1.55797
a
11
=
−5.54043u
24
− 3.33819u
23
+ ··· − 17.8534u − 5.96692
−0.0415282u
24
+ 0.855191u
23
+ ··· + 3.73724u + 2.18862
a
11
=
−5.54043u
24
− 3.33819u
23
+ ··· − 17.8534u − 5.96692
−0.0415282u
24
+ 0.855191u
23
+ ··· + 3.73724u + 2.18862
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
2527171677251330
19862837987731
u
24
−
1931170181748924
19862837987731
u
23
+ ··· −
1872128133180695
19862837987731
u −
2807884245071952
19862837987731
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
25
− 7u
24
+ ··· − u + 1
c
2
u
25
− 7u
23
+ ··· − 2u − 1
c
3
u
25
+ 4u
24
+ ··· + u + 1
c
4
u
25
+ 2u
24
+ ··· − 4u + 1
c
5
u
25
− 7u
23
+ ··· − 2u + 1
c
6
u
25
− 6u
24
+ ··· − 4u + 1
c
7
u
25
+ 2u
24
+ ··· − 5u + 1
c
8
u
25
+ 2u
24
+ ··· − 16u − 1
c
9
u
25
+ 3u
24
+ ··· − 6u + 1
c
10
u
25
+ 10u
24
+ ··· + 4u − 1
c
11
u
25
+ 2u
24
+ ··· − 17u + 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
25
− 23y
24
+ ··· + 23y −1
c
2
, c
5
y
25
− 14y
24
+ ··· + 2y −1
c
3
y
25
− 4y
24
+ ··· + 99y −1
c
4
y
25
− 8y
24
+ ··· + 30y
2
− 1
c
6
y
25
− 12y
24
+ ··· − 28y −1
c
7
y
25
− 4y
24
+ ··· + 9y −1
c
8
y
25
− 2y
24
+ ··· + 114y −1
c
9
y
25
+ 3y
24
+ ··· + 32y −1
c
10
y
25
− 12y
24
+ ··· + 28y −1
c
11
y
25
− 10y
24
+ ··· + 111y −1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.250280 + 0.975610I
a = 0.034088 − 0.322185I
b = 0.953676 − 0.664284I
−0.03348 − 4.41999I 3.63153 + 5.52366I
u = 0.250280 − 0.975610I
a = 0.034088 + 0.322185I
b = 0.953676 + 0.664284I
−0.03348 + 4.41999I 3.63153 − 5.52366I
u = −0.873467 + 0.111550I
a = −0.15281 − 2.23455I
b = −0.11201 − 2.52927I
1.22395 − 2.21489I −22.7692 − 42.0523I
u = −0.873467 − 0.111550I
a = −0.15281 + 2.23455I
b = −0.11201 + 2.52927I
1.22395 + 2.21489I −22.7692 + 42.0523I
u = −0.876104
a = 4.38408
b = 3.16510
−0.364419 −189.580
u = 0.808927 + 0.298395I
a = −2.03184 − 0.02543I
b = −0.183119 − 1.339210I
−1.90155 + 1.42245I 2.96243 − 4.09194I
u = 0.808927 − 0.298395I
a = −2.03184 + 0.02543I
b = −0.183119 + 1.339210I
−1.90155 − 1.42245I 2.96243 + 4.09194I
u = −1.013840 + 0.591892I
a = 0.436651 + 0.888392I
b = 0.693003 − 0.449935I
2.51471 − 5.48521I 6.21875 + 9.80992I
u = −1.013840 − 0.591892I
a = 0.436651 − 0.888392I
b = 0.693003 + 0.449935I
2.51471 + 5.48521I 6.21875 − 9.80992I
u = 0.787623 + 0.086296I
a = 2.63005 − 0.47173I
b = 0.314112 − 0.808920I
0.45122 + 8.35463I 4.47613 − 5.35998I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.787623 − 0.086296I
a = 2.63005 + 0.47173I
b = 0.314112 + 0.808920I
0.45122 − 8.35463I 4.47613 + 5.35998I
u = 1.260840 + 0.179149I
a = 1.321060 − 0.088095I
b = 0.370446 + 0.711874I
2.80785 + 8.52963I 4.73872 − 7.98573I
u = 1.260840 − 0.179149I
a = 1.321060 + 0.088095I
b = 0.370446 − 0.711874I
2.80785 − 8.52963I 4.73872 + 7.98573I
u = 1.264940 + 0.584485I
a = −1.54790 + 0.29909I
b = −1.38823 − 0.82215I
3.14760 + 10.12390I 5.21619 − 8.21271I
u = 1.264940 − 0.584485I
a = −1.54790 − 0.29909I
b = −1.38823 + 0.82215I
3.14760 − 10.12390I 5.21619 + 8.21271I
u = −0.09052 + 1.43658I
a = −0.005297 − 0.194948I
b = −0.244346 − 0.043928I
−3.88143 − 4.15868I 18.7400 − 3.0875I
u = −0.09052 − 1.43658I
a = −0.005297 + 0.194948I
b = −0.244346 + 0.043928I
−3.88143 + 4.15868I 18.7400 + 3.0875I
u = −1.42273 + 0.43828I
a = −0.577689 − 0.230097I
b = −0.767690 + 0.407747I
4.38188 − 0.00909I 13.9093 − 7.6065I
u = −1.42273 − 0.43828I
a = −0.577689 + 0.230097I
b = −0.767690 − 0.407747I
4.38188 + 0.00909I 13.9093 + 7.6065I
u = −0.184677 + 0.468629I
a = 0.92429 + 1.56196I
b = 0.825373 + 0.464229I
−0.00198 + 1.97890I 3.19371 − 3.54742I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.184677 − 0.468629I
a = 0.92429 − 1.56196I
b = 0.825373 − 0.464229I
−0.00198 − 1.97890I 3.19371 + 3.54742I
u = −0.287378 + 0.397064I
a = 2.16717 + 0.40917I
b = 0.197887 − 0.987490I
−2.28761 − 0.16331I −3.97387 + 2.11947I
u = −0.287378 − 0.397064I
a = 2.16717 − 0.40917I
b = 0.197887 + 0.987490I
−2.28761 + 0.16331I −3.97387 − 2.11947I
u = 1.53907
a = −1.66641
b = −0.795782
7.10071 7.64140
u = −1.66296
a = −1.11321
b = −0.687534
6.74035 34.2530
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
25
− 7u
24
+ ··· − u + 1)(u
124
− 4u
123
+ ··· − 479u + 107)
c
2
(u
25
− 7u
23
+ ··· − 2u − 1)(u
124
− u
123
+ ··· + 72u − 139)
c
3
(u
25
+ 4u
24
+ ··· + u + 1)(u
124
− 9u
123
+ ··· + 97u − 1)
c
4
(u
25
+ 2u
24
+ ··· − 4u + 1)(u
124
− u
123
+ ··· + 154u + 19)
c
5
(u
25
− 7u
23
+ ··· − 2u + 1)(u
124
− u
123
+ ··· + 72u − 139)
c
6
(u
25
− 6u
24
+ ··· − 4u + 1)(u
124
+ 3u
123
+ ··· − 5094u + 1919)
c
7
(u
25
+ 2u
24
+ ··· − 5u + 1)(u
124
− 3u
123
+ ··· + 19u − 1)
c
8
(u
25
+ 2u
24
+ ··· − 16u − 1)(u
124
− u
123
+ ··· + 104u + 13)
c
9
(u
25
+ 3u
24
+ ··· − 6u + 1)(u
124
− 13u
122
+ ··· − 27900u − 5737)
c
10
(u
25
+ 10u
24
+ ··· + 4u − 1)(u
124
+ 3u
123
+ ··· − 26u − 5)
c
11
(u
25
+ 2u
24
+ ··· − 17u + 1)(u
124
+ u
123
+ ··· − 23u − 1)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
25
− 23y
24
+ ··· + 23y −1)(y
124
− 32y
123
+ ··· − 782845y + 11449)
c
2
, c
5
(y
25
− 14y
24
+ ··· + 2y −1)(y
124
− 75y
123
+ ··· − 605108y + 19321)
c
3
(y
25
− 4y
24
+ ··· + 99y −1)(y
124
+ 27y
123
+ ··· − 8505y + 1)
c
4
(y
25
− 8y
24
+ ··· + 30y
2
− 1)(y
124
+ 3y
123
+ ··· + 15842y + 361)
c
6
(y
25
− 12y
24
+ ··· − 28y −1)
· (y
124
+ 11y
123
+ ··· + 56088414y + 3682561)
c
7
(y
25
− 4y
24
+ ··· + 9y −1)(y
124
− 17y
123
+ ··· − 287y + 1)
c
8
(y
25
− 2y
24
+ ··· + 114y −1)(y
124
− 23y
123
+ ··· + 29224y + 169)
c
9
(y
25
+ 3y
24
+ ··· + 32y −1)
· (y
124
− 26y
123
+ ··· + 93166514y + 32913169)
c
10
(y
25
− 12y
24
+ ··· + 28y −1)(y
124
− 5y
123
+ ··· − 7526y + 25)
c
11
(y
25
− 10y
24
+ ··· + 111y −1)(y
124
− 7y
123
+ ··· − 113y + 1)
25
