12a
1152
(K12a
1152
)
A knot diagram
1
Linearized knot diagam
4 9 6 11 1 2 10 3 12 5 7 8
Solving Sequence
2,9 3,12
10 8 1 7 6 4 5 11
c
2
c
9
c
8
c
12
c
7
c
6
c
3
c
5
c
11
c
1
, c
4
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−5.18767 × 10
139
u
59
+ 6.91498 × 10
140
u
58
+ ··· + 5.70794 × 10
142
b − 4.09699 × 10
143
,
− 1.69716 × 10
143
u
59
+ 7.21637 × 10
143
u
58
+ ··· + 5.53670 × 10
144
a + 2.20134 × 10
145
,
u
60
− 5u
59
+ ··· + 1080u − 388i
I
u
2
= h1.80510 × 10
155
au
81
− 1.97549 × 10
154
u
81
+ ··· + 1.30403 × 10
156
a + 5.44654 × 10
156
,
3.60091 × 10
156
au
81
+ 2.53871 × 10
156
u
81
+ ··· + 1.70950 × 10
158
a − 1.03794 × 10
158
,
u
82
+ 2u
81
+ ··· + 3u + 17i
I
u
3
= h−9.59808 × 10
21
u
51
+ 4.27636 × 10
20
u
50
+ ··· + 1.61406 × 10
20
b + 5.52488 × 10
21
,
− 4.99289 × 10
18
u
51
− 9.77290 × 10
20
u
50
+ ··· + 1.61406 × 10
20
a − 5.20434 × 10
21
,
u
52
+ 12u
50
+ ··· + 16u
2
+ 1i
I
u
4
= hb − u − 2, a − u, u
2
+ u + 1i
I
u
5
= hb + 3u − 2, a + u, u
2
− u + 1i
I
u
6
= h−2u
3
− 3u
2
+ 3b − 3u − 1, 4u
3
+ 6u
2
+ 3a + 6u − 1, u
4
+ 2u
3
+ 3u
2
+ 2u + 1i
I
u
7
= h4u
3
− 6u
2
+ 3b + 9u − 5, 2u
3
− 3u
2
+ a + 4u − 1, u
4
− 2u
3
+ 3u
2
− 2u + 1i
I
u
8
= hb − u, a, u
2
+ u + 1i
I
u
9
= hb + u + 1, a − 1, u
2
+ u + 1i
I
v
1
= ha, b
2
− b + 1, v + 1i
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).
1
* 10 irreducible components of dim
C
= 0, with total 294 representations.
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
2
I. I
u
1
= h−5.19 × 10
139
u
59
+ 6.91 × 10
140
u
58
+ · · · + 5.71 × 10
142
b − 4.10 ×
10
143
, −1.70 × 10
143
u
59
+ 7.22 × 10
143
u
58
+ · · · + 5.54 × 10
144
a + 2.20 ×
10
145
, u
60
− 5u
59
+ · · · + 1080u − 388i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
u
2
a
12
=
0.0306529u
59
− 0.130337u
58
+ ··· − 4.49260u − 3.97590
0.000908851u
59
− 0.0121147u
58
+ ··· − 16.7204u + 7.17771
a
10
=
−0.0291167u
59
+ 0.173061u
58
+ ··· + 55.3140u − 16.6802
−0.00711532u
59
+ 0.0485395u
58
+ ··· + 22.8821u − 6.56340
a
8
=
u
u
3
+ u
a
1
=
0.0414282u
59
− 0.173898u
58
+ ··· − 0.281038u − 8.05200
0.00626255u
59
− 0.0383628u
58
+ ··· − 19.4695u + 7.10429
a
7
=
0.0149334u
59
− 0.0977080u
58
+ ··· − 41.4306u + 15.7688
0.0105054u
59
− 0.0633023u
58
+ ··· − 22.1161u + 7.13426
a
6
=
0.00442802u
59
− 0.0344057u
58
+ ··· − 19.3145u + 8.63453
0.0105054u
59
− 0.0633023u
58
+ ··· − 22.1161u + 7.13426
a
4
=
−0.0443936u
59
+ 0.179043u
58
+ ··· − 14.6753u + 15.9101
−0.00517660u
59
+ 0.0333438u
58
+ ··· + 14.3685u − 5.35765
a
5
=
0.0422065u
59
− 0.254284u
58
+ ··· − 87.5145u + 30.4184
−0.00436150u
59
− 0.00212137u
58
+ ··· − 19.7603u + 10.9710
a
11
=
0.0715267u
59
− 0.304662u
58
+ ··· − 20.9895u − 5.59872
0.0150082u
59
− 0.0735745u
58
+ ··· − 14.2922u + 4.17681
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0862410u
59
− 0.304241u
58
+ ··· + 50.6490u − 39.3628
3
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
60
− 3u
59
+ ··· − 8u + 1
c
2
, c
8
u
60
− 5u
59
+ ··· + 1080u − 388
c
3
, c
9
u
60
+ 3u
59
+ ··· + 8u + 1
c
4
, c
10
u
60
+ 5u
59
+ ··· − 1080u − 388
c
5
, c
11
u
60
+ u
59
+ ··· + 16u + 1
c
6
, c
12
u
60
− u
59
+ ··· − 16u + 1
4
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
7
c
9
y
60
− 19y
59
+ ··· + 260y
2
+ 1
c
2
, c
4
, c
8
c
10
y
60
+ 25y
59
+ ··· − 621648y + 150544
c
5
, c
6
, c
11
c
12
y
60
− 5y
59
+ ··· − 124y + 1
5
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.171441 + 0.980559I
a = 0.47348 + 1.49828I
b = −0.511578 + 0.392997I
−0.52610 + 2.40940I −6.07207 − 1.80479I
u = 0.171441 − 0.980559I
a = 0.47348 − 1.49828I
b = −0.511578 − 0.392997I
−0.52610 − 2.40940I −6.07207 + 1.80479I
u = 0.558795 + 0.812413I
a = 0.190007 − 0.772991I
b = 1.32190 − 0.62082I
2.92685 − 2.53562I 7.77144 + 4.11547I
u = 0.558795 − 0.812413I
a = 0.190007 + 0.772991I
b = 1.32190 + 0.62082I
2.92685 + 2.53562I 7.77144 − 4.11547I
u = 0.387995 + 0.880914I
a = 0.696357 − 1.223310I
b = 0.137839 − 0.769925I
4.19283 − 1.62322I 9.54675 + 5.56587I
u = 0.387995 − 0.880914I
a = 0.696357 + 1.223310I
b = 0.137839 + 0.769925I
4.19283 + 1.62322I 9.54675 − 5.56587I
u = −0.325924 + 1.003870I
a = 0.472335 + 0.390385I
b = −0.264203 + 0.121523I
2.32702I 0. − 2.41446I
u = −0.325924 − 1.003870I
a = 0.472335 − 0.390385I
b = −0.264203 − 0.121523I
− 2.32702I 0. + 2.41446I
u = −0.451519 + 0.956785I
a = 0.126006 + 0.783615I
b = 1.29360 + 1.08825I
1.50162 + 6.66973I 6.52482 − 9.31381I
u = −0.451519 − 0.956785I
a = 0.126006 − 0.783615I
b = 1.29360 − 1.08825I
1.50162 − 6.66973I 6.52482 + 9.31381I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.405466 + 1.042930I
a = 0.300272 + 1.091020I
b = 0.575186 + 0.966227I
1.77104 − 0.45619I 4.17621 + 0.I
u = −0.405466 − 1.042930I
a = 0.300272 − 1.091020I
b = 0.575186 − 0.966227I
1.77104 + 0.45619I 4.17621 + 0.I
u = 1.058290 + 0.365526I
a = −1.030290 − 0.473394I
b = −0.97651 − 1.14607I
−7.37408 + 4.86636I −7.60593 − 5.88900I
u = 1.058290 − 0.365526I
a = −1.030290 + 0.473394I
b = −0.97651 + 1.14607I
−7.37408 − 4.86636I −7.60593 + 5.88900I
u = −1.13290
a = −0.870261
b = −1.73957
−0.677721 −12.9010
u = 0.183453 + 0.841795I
a = −2.34687 + 0.35556I
b = −0.221990 − 0.196071I
−0.95944 − 4.24881I −12.3767 + 15.9835I
u = 0.183453 − 0.841795I
a = −2.34687 − 0.35556I
b = −0.221990 + 0.196071I
−0.95944 + 4.24881I −12.3767 − 15.9835I
u = 0.485164 + 1.033450I
a = −0.436484 − 0.472405I
b = 0.50964 − 1.98747I
−1.50162 − 6.66973I −6.52482 + 9.31381I
u = 0.485164 − 1.033450I
a = −0.436484 + 0.472405I
b = 0.50964 + 1.98747I
−1.50162 + 6.66973I −6.52482 − 9.31381I
u = −0.693664 + 0.378260I
a = 0.313816 − 0.578350I
b = −0.732368 − 0.379929I
−1.64774 + 0.88135I −5.13712 − 2.80459I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.693664 − 0.378260I
a = 0.313816 + 0.578350I
b = −0.732368 + 0.379929I
−1.64774 − 0.88135I −5.13712 + 2.80459I
u = 1.168760 + 0.338858I
a = −0.072999 + 0.185626I
b = −0.917703 + 0.097618I
−5.39058 − 4.68678I 0
u = 1.168760 − 0.338858I
a = −0.072999 − 0.185626I
b = −0.917703 − 0.097618I
−5.39058 + 4.68678I 0
u = 0.531474 + 0.568901I
a = 0.968713 + 0.737512I
b = −1.10882 + 1.28934I
−2.92685 + 2.53562I −7.77144 − 4.11547I
u = 0.531474 − 0.568901I
a = 0.968713 − 0.737512I
b = −1.10882 − 1.28934I
−2.92685 − 2.53562I −7.77144 + 4.11547I
u = −1.165740 + 0.366483I
a = −1.038980 + 0.534131I
b = −0.85758 + 1.68385I
− 9.35734I 0
u = −1.165740 − 0.366483I
a = −1.038980 − 0.534131I
b = −0.85758 − 1.68385I
9.35734I 0
u = 0.418269 + 1.150070I
a = −0.197115 − 0.307278I
b = −0.32483 − 1.53729I
−1.77104 − 0.45619I 0
u = 0.418269 − 1.150070I
a = −0.197115 + 0.307278I
b = −0.32483 + 1.53729I
−1.77104 + 0.45619I 0
u = −0.499563 + 1.124770I
a = −0.175796 + 0.500266I
b = 0.320548 + 1.310060I
0.62611 + 3.69051I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.499563 − 1.124770I
a = −0.175796 − 0.500266I
b = 0.320548 − 1.310060I
0.62611 − 3.69051I 0
u = 1.193310 + 0.369826I
a = −0.992840 − 0.546634I
b = −0.67757 − 1.65324I
−2.9032 + 15.8984I 0
u = 1.193310 − 0.369826I
a = −0.992840 + 0.546634I
b = −0.67757 + 1.65324I
−2.9032 − 15.8984I 0
u = 0.076532 + 0.729921I
a = 1.110150 + 0.160313I
b = −2.61620 + 0.41046I
−4.19283 − 1.62322I −9.54675 + 5.56587I
u = 0.076532 − 0.729921I
a = 1.110150 − 0.160313I
b = −2.61620 − 0.41046I
−4.19283 + 1.62322I −9.54675 − 5.56587I
u = 0.426858 + 1.216580I
a = −0.177926 − 1.247300I
b = 1.34612 − 0.61746I
5.39058 − 4.68678I 0
u = 0.426858 − 1.216580I
a = −0.177926 + 1.247300I
b = 1.34612 + 0.61746I
5.39058 + 4.68678I 0
u = 1.30496
a = 0.771561
b = 1.53977
0.677721 0
u = −0.419010 + 1.272320I
a = 0.33802 − 1.40935I
b = −1.55921 − 0.25601I
3.80470 + 5.01319I 0
u = −0.419010 − 1.272320I
a = 0.33802 + 1.40935I
b = −1.55921 + 0.25601I
3.80470 − 5.01319I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.638473 + 1.214620I
a = 0.318696 + 1.236200I
b = −1.62056 + 1.22848I
−4.66730 − 10.91270I 0
u = 0.638473 − 1.214620I
a = 0.318696 − 1.236200I
b = −1.62056 − 1.22848I
−4.66730 + 10.91270I 0
u = −0.68285 + 1.26801I
a = 0.384451 − 1.115090I
b = −1.76927 − 1.61342I
2.9032 + 15.8984I 0
u = −0.68285 − 1.26801I
a = 0.384451 + 1.115090I
b = −1.76927 + 1.61342I
2.9032 − 15.8984I 0
u = 0.70126 + 1.27551I
a = 0.353379 + 1.069320I
b = −1.66303 + 1.70470I
− 22.5793I 0
u = 0.70126 − 1.27551I
a = 0.353379 − 1.069320I
b = −1.66303 − 1.70470I
22.5793I 0
u = 0.534199 + 0.091360I
a = 1.18320 − 0.81880I
b = 0.697826 − 0.138251I
1.64774 − 0.88135I 5.13712 + 2.80459I
u = 0.534199 − 0.091360I
a = 1.18320 + 0.81880I
b = 0.697826 + 0.138251I
1.64774 + 0.88135I 5.13712 − 2.80459I
u = −0.01808 + 1.47880I
a = −0.348814 − 0.858886I
b = 0.209024 + 0.308470I
7.37408 − 4.86636I 0
u = −0.01808 − 1.47880I
a = −0.348814 + 0.858886I
b = 0.209024 − 0.308470I
7.37408 + 4.86636I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.55731 + 1.40236I
a = 0.018229 + 0.513943I
b = 0.402492 + 0.280917I
0.52610 + 2.40940I 0
u = −0.55731 − 1.40236I
a = 0.018229 − 0.513943I
b = 0.402492 − 0.280917I
0.52610 − 2.40940I 0
u = −1.54326 + 0.35635I
a = 0.448619 + 0.184902I
b = 1.164850 + 0.142212I
−3.80470 + 5.01319I 0
u = −1.54326 − 0.35635I
a = 0.448619 − 0.184902I
b = 1.164850 − 0.142212I
−3.80470 − 5.01319I 0
u = −0.396011 + 0.040226I
a = 2.17668 − 0.32964I
b = 0.333963 + 0.215813I
−0.62611 + 3.69051I 0.95572 − 2.76128I
u = −0.396011 − 0.040226I
a = 2.17668 + 0.32964I
b = 0.333963 − 0.215813I
−0.62611 − 3.69051I 0.95572 + 2.76128I
u = 0.02608 + 1.60351I
a = −0.359218 + 0.687159I
b = 0.290176 − 0.296519I
4.66730 + 10.91270I 0
u = 0.02608 − 1.60351I
a = −0.359218 − 0.687159I
b = 0.290176 + 0.296519I
4.66730 − 10.91270I 0
u = 1.01201 + 1.26987I
a = 0.122324 − 0.440312I
b = 0.818168 − 0.292603I
0.95944 − 4.24881I 0
u = 1.01201 − 1.26987I
a = 0.122324 + 0.440312I
b = 0.818168 + 0.292603I
0.95944 + 4.24881I 0
11
II. I
u
2
= h1.81 × 10
155
au
81
− 1.98 × 10
154
u
81
+ · · · + 1.30 × 10
156
a + 5.45 ×
10
156
, 3.60 × 10
156
au
81
+ 2.54 × 10
156
u
81
+ · · · + 1.71 × 10
158
a − 1.04 ×
10
158
, u
82
+ 2u
81
+ · · · + 3u + 17i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
u
2
a
12
=
a
−2.70404au
81
+ 0.295928u
81
+ ··· − 19.5344a − 81.5892
a
10
=
−4.12970au
81
+ 2.42356u
81
+ ··· + 53.9418a + 38.0299
−1.28203au
81
− 4.12970u
81
+ ··· − 13.8792a + 53.9418
a
8
=
u
u
3
+ u
a
1
=
1.22538au
81
+ 1.27892u
81
+ ··· + 7.60655a + 31.9199
−2.05030au
81
+ 0.430644u
81
+ ··· − 14.6627a − 58.9256
a
7
=
0.760460au
81
− 7.38349u
81
+ ··· − 55.7454a + 27.2603
−0.388621au
81
− 1.07456u
81
+ ··· + 45.9686a + 34.4955
a
6
=
1.14908au
81
− 6.30894u
81
+ ··· − 101.714a − 7.23520
−0.388621au
81
− 1.07456u
81
+ ··· + 45.9686a + 34.4955
a
4
=
1.14390au
81
− 1.21147u
81
+ ··· + 107.252a − 135.729
0.789134au
81
+ 1.12918u
81
+ ··· + 18.2675a + 70.2037
a
5
=
4.88743au
81
− 5.97440u
81
+ ··· − 58.5806a + 62.1850
1.03661au
81
+ 4.70169u
81
+ ··· + 6.25213a − 61.4613
a
11
=
−2.44439au
81
+ 1.22792u
81
+ ··· − 91.6513a + 190.784
−0.828478au
81
− 2.76844u
81
+ ··· − 36.1956a − 76.5142
(ii) Obstruction class = −1
(iii) Cusp Shapes = −8.16898u
81
+ 9.33236u
80
+ ··· − 385.089u + 971.642
12
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
164
− 10u
163
+ ··· − 3168u + 121
c
2
, c
10
(u
82
+ 2u
81
+ ··· + 3u + 17)
2
c
3
, c
9
u
164
+ 10u
163
+ ··· + 3168u + 121
c
4
, c
8
(u
82
− 2u
81
+ ··· − 3u + 17)
2
c
5
, c
11
u
164
− 2u
163
+ ··· + 4005408u + 594932
c
6
, c
12
u
164
+ 2u
163
+ ··· − 4005408u + 594932
13
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
7
c
9
y
164
+ 10y
163
+ ··· + 146410y + 14641
c
2
, c
4
, c
8
c
10
(y
82
+ 44y
81
+ ··· + 9205y + 289)
2
c
5
, c
6
, c
11
c
12
y
164
+ 12y
163
+ ··· − 35272014267168y + 353944084624
14
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.260326 + 0.930612I
a = −0.529905 − 1.201830I
b = 0.509455 − 0.750195I
3.18723 + 1.08607I 0
u = −0.260326 + 0.930612I
a = 1.04357 + 2.16309I
b = 1.302220 + 0.240158I
3.18723 + 1.08607I 0
u = −0.260326 − 0.930612I
a = −0.529905 + 1.201830I
b = 0.509455 + 0.750195I
3.18723 − 1.08607I 0
u = −0.260326 − 0.930612I
a = 1.04357 − 2.16309I
b = 1.302220 − 0.240158I
3.18723 − 1.08607I 0
u = 0.795295 + 0.678771I
a = 1.264300 + 0.334143I
b = −0.13908 + 1.74400I
0.78288 + 2.53049I 0
u = 0.795295 + 0.678771I
a = −0.187665 + 0.077391I
b = 0.147730 − 0.563391I
0.78288 + 2.53049I 0
u = 0.795295 − 0.678771I
a = 1.264300 − 0.334143I
b = −0.13908 − 1.74400I
0.78288 − 2.53049I 0
u = 0.795295 − 0.678771I
a = −0.187665 − 0.077391I
b = 0.147730 + 0.563391I
0.78288 − 2.53049I 0
u = 0.832893 + 0.686008I
a = 1.086330 + 0.266537I
b = −0.61394 + 1.32289I
−1.28336 + 1.67590I 0
u = 0.832893 + 0.686008I
a = 0.516895 + 0.527491I
b = 0.032729 + 0.931073I
−1.28336 + 1.67590I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.832893 − 0.686008I
a = 1.086330 − 0.266537I
b = −0.61394 − 1.32289I
−1.28336 − 1.67590I 0
u = 0.832893 − 0.686008I
a = 0.516895 − 0.527491I
b = 0.032729 − 0.931073I
−1.28336 − 1.67590I 0
u = 0.404430 + 0.798414I
a = 0.33003 + 1.68392I
b = −0.27008 + 1.75242I
−6.50706 − 1.77206I 0
u = 0.404430 + 0.798414I
a = −1.77076 + 0.01887I
b = 0.418133 − 0.781070I
−6.50706 − 1.77206I 0
u = 0.404430 − 0.798414I
a = 0.33003 − 1.68392I
b = −0.27008 − 1.75242I
−6.50706 + 1.77206I 0
u = 0.404430 − 0.798414I
a = −1.77076 − 0.01887I
b = 0.418133 + 0.781070I
−6.50706 + 1.77206I 0
u = −0.579986 + 0.668663I
a = −0.177658 + 0.869629I
b = 0.466091 + 1.328520I
−0.82988 + 2.31019I 0
u = −0.579986 + 0.668663I
a = 0.440198 − 0.607892I
b = −0.847871 − 0.017789I
−0.82988 + 2.31019I 0
u = −0.579986 − 0.668663I
a = −0.177658 − 0.869629I
b = 0.466091 − 1.328520I
−0.82988 − 2.31019I 0
u = −0.579986 − 0.668663I
a = 0.440198 + 0.607892I
b = −0.847871 + 0.017789I
−0.82988 − 2.31019I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.404427 + 1.061140I
a = −0.616827 − 1.002060I
b = 0.53814 − 1.87628I
1.06546 − 6.91683I 0
u = 0.404427 + 1.061140I
a = −0.699917 − 0.343578I
b = 1.95998 − 0.55916I
1.06546 − 6.91683I 0
u = 0.404427 − 1.061140I
a = −0.616827 + 1.002060I
b = 0.53814 + 1.87628I
1.06546 + 6.91683I 0
u = 0.404427 − 1.061140I
a = −0.699917 + 0.343578I
b = 1.95998 + 0.55916I
1.06546 + 6.91683I 0
u = −0.318655 + 1.094000I
a = 0.276202 − 1.061040I
b = −0.050616 − 1.147980I
3.04869 + 3.73406I 0
u = −0.318655 + 1.094000I
a = −1.42150 + 0.85142I
b = 1.30298 + 1.56754I
3.04869 + 3.73406I 0
u = −0.318655 − 1.094000I
a = 0.276202 + 1.061040I
b = −0.050616 + 1.147980I
3.04869 − 3.73406I 0
u = −0.318655 − 1.094000I
a = −1.42150 − 0.85142I
b = 1.30298 − 1.56754I
3.04869 − 3.73406I 0
u = 0.577776 + 0.983584I
a = −0.290311 − 0.921390I
b = 0.63079 − 2.20132I
−0.33510 − 6.83537I 0
u = 0.577776 + 0.983584I
a = −0.643116 − 0.716732I
b = 1.01905 − 1.16032I
−0.33510 − 6.83537I 0
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.577776 − 0.983584I
a = −0.290311 + 0.921390I
b = 0.63079 + 2.20132I
−0.33510 + 6.83537I 0
u = 0.577776 − 0.983584I
a = −0.643116 + 0.716732I
b = 1.01905 + 1.16032I
−0.33510 + 6.83537I 0
u = −0.379759 + 1.078640I
a = 0.835657 + 0.831303I
b = 0.786670 − 0.446187I
2.22524 − 4.28972I 0
u = −0.379759 + 1.078640I
a = −0.005460 − 0.294307I
b = −1.24578 − 1.48137I
2.22524 − 4.28972I 0
u = −0.379759 − 1.078640I
a = 0.835657 − 0.831303I
b = 0.786670 + 0.446187I
2.22524 + 4.28972I 0
u = −0.379759 − 1.078640I
a = −0.005460 + 0.294307I
b = −1.24578 + 1.48137I
2.22524 + 4.28972I 0
u = 0.260884 + 1.134970I
a = 0.802242 − 1.015030I
b = 0.614651 + 0.049104I
5.53005 + 0.17570I 0
u = 0.260884 + 1.134970I
a = −0.170890 + 0.681945I
b = 0.257251 + 1.056090I
5.53005 + 0.17570I 0
u = 0.260884 − 1.134970I
a = 0.802242 + 1.015030I
b = 0.614651 − 0.049104I
5.53005 − 0.17570I 0
u = 0.260884 − 1.134970I
a = −0.170890 − 0.681945I
b = 0.257251 − 1.056090I
5.53005 − 0.17570I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.630576 + 0.544116I
a = 0.220481 − 0.936431I
b = −1.100490 − 0.198671I
−0.78288 + 2.53049I 0
u = −0.630576 + 0.544116I
a = −0.851811 + 0.924584I
b = 0.14845 + 2.41546I
−0.78288 + 2.53049I 0
u = −0.630576 − 0.544116I
a = 0.220481 + 0.936431I
b = −1.100490 + 0.198671I
−0.78288 − 2.53049I 0
u = −0.630576 − 0.544116I
a = −0.851811 − 0.924584I
b = 0.14845 − 2.41546I
−0.78288 − 2.53049I 0
u = 0.130723 + 0.795632I
a = −1.83529 − 0.41086I
b = 0.558051 + 0.084930I
0.50411 − 4.27864I 14.2403 + 14.0784I
u = 0.130723 + 0.795632I
a = −1.30629 − 2.08598I
b = −0.12803 − 1.61726I
0.50411 − 4.27864I 14.2403 + 14.0784I
u = 0.130723 − 0.795632I
a = −1.83529 + 0.41086I
b = 0.558051 − 0.084930I
0.50411 + 4.27864I 14.2403 − 14.0784I
u = 0.130723 − 0.795632I
a = −1.30629 + 2.08598I
b = −0.12803 + 1.61726I
0.50411 + 4.27864I 14.2403 − 14.0784I
u = −0.419306 + 1.125730I
a = −0.643444 + 0.928322I
b = 0.54773 + 1.87583I
−1.10685 + 11.51070I 0
u = −0.419306 + 1.125730I
a = −0.549839 + 0.281996I
b = 2.61295 + 0.76729I
−1.10685 + 11.51070I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.419306 − 1.125730I
a = −0.643444 − 0.928322I
b = 0.54773 − 1.87583I
−1.10685 − 11.51070I 0
u = −0.419306 − 1.125730I
a = −0.549839 − 0.281996I
b = 2.61295 − 0.76729I
−1.10685 − 11.51070I 0
u = −0.542499 + 0.583183I
a = 0.28429 + 1.44388I
b = 0.04672 + 2.19509I
−4.18066 + 8.83759I −5.00985 − 11.72883I
u = −0.542499 + 0.583183I
a = −0.85299 + 1.29718I
b = 0.455466 + 0.663551I
−4.18066 + 8.83759I −5.00985 − 11.72883I
u = −0.542499 − 0.583183I
a = 0.28429 − 1.44388I
b = 0.04672 − 2.19509I
−4.18066 − 8.83759I −5.00985 + 11.72883I
u = −0.542499 − 0.583183I
a = −0.85299 − 1.29718I
b = 0.455466 − 0.663551I
−4.18066 − 8.83759I −5.00985 + 11.72883I
u = −0.522662 + 1.103870I
a = −0.548525 + 0.848795I
b = 0.64265 + 1.80590I
−2.22524 + 4.28972I 0
u = −0.522662 + 1.103870I
a = −0.457540 + 0.514224I
b = 1.84925 + 1.73180I
−2.22524 + 4.28972I 0
u = −0.522662 − 1.103870I
a = −0.548525 − 0.848795I
b = 0.64265 − 1.80590I
−2.22524 − 4.28972I 0
u = −0.522662 − 1.103870I
a = −0.457540 − 0.514224I
b = 1.84925 − 1.73180I
−2.22524 − 4.28972I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.528867 + 1.104130I
a = −0.133321 − 0.697062I
b = 0.02355 − 1.65707I
1.10685 + 11.51070I 0
u = −0.528867 + 1.104130I
a = −0.58697 + 1.32636I
b = 1.31585 + 1.79935I
1.10685 + 11.51070I 0
u = −0.528867 − 1.104130I
a = −0.133321 + 0.697062I
b = 0.02355 + 1.65707I
1.10685 − 11.51070I 0
u = −0.528867 − 1.104130I
a = −0.58697 − 1.32636I
b = 1.31585 − 1.79935I
1.10685 − 11.51070I 0
u = 0.742142 + 0.216072I
a = −0.693587 − 0.260151I
b = 0.422008 − 0.104110I
0.82034 + 3.45064I 4.51101 − 0.56063I
u = 0.742142 + 0.216072I
a = 1.40347 + 0.97849I
b = 0.49689 + 1.38278I
0.82034 + 3.45064I 4.51101 − 0.56063I
u = 0.742142 − 0.216072I
a = −0.693587 + 0.260151I
b = 0.422008 + 0.104110I
0.82034 − 3.45064I 4.51101 + 0.56063I
u = 0.742142 − 0.216072I
a = 1.40347 − 0.97849I
b = 0.49689 − 1.38278I
0.82034 − 3.45064I 4.51101 + 0.56063I
u = 1.160190 + 0.414579I
a = 0.462084 − 0.868271I
b = 1.02551 − 1.38253I
−0.50411 − 4.27864I 0
u = 1.160190 + 0.414579I
a = 0.037748 + 0.440985I
b = −0.177349 + 0.314091I
−0.50411 − 4.27864I 0
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.160190 − 0.414579I
a = 0.462084 + 0.868271I
b = 1.02551 + 1.38253I
−0.50411 + 4.27864I 0
u = 1.160190 − 0.414579I
a = 0.037748 − 0.440985I
b = −0.177349 − 0.314091I
−0.50411 + 4.27864I 0
u = 0.760358 + 0.002684I
a = −0.93396 + 1.22178I
b = −0.704640 + 0.625872I
−2.75590 − 8.75497I −4.00486 + 9.28787I
u = 0.760358 + 0.002684I
a = −1.17346 − 1.18677I
b = −0.65567 − 2.30431I
−2.75590 − 8.75497I −4.00486 + 9.28787I
u = 0.760358 − 0.002684I
a = −0.93396 − 1.22178I
b = −0.704640 − 0.625872I
−2.75590 + 8.75497I −4.00486 − 9.28787I
u = 0.760358 − 0.002684I
a = −1.17346 + 1.18677I
b = −0.65567 + 2.30431I
−2.75590 + 8.75497I −4.00486 − 9.28787I
u = 0.398094 + 1.183740I
a = 0.790527 − 0.839344I
b = 0.605804 + 0.448273I
4.71965 − 0.26776I 0
u = 0.398094 + 1.183740I
a = 0.058198 + 0.411477I
b = −0.644796 + 1.014450I
4.71965 − 0.26776I 0
u = 0.398094 − 1.183740I
a = 0.790527 + 0.839344I
b = 0.605804 − 0.448273I
4.71965 + 0.26776I 0
u = 0.398094 − 1.183740I
a = 0.058198 − 0.411477I
b = −0.644796 − 1.014450I
4.71965 + 0.26776I 0
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.780516 + 0.975804I
a = 1.094250 − 0.038354I
b = −0.77369 − 1.21208I
−3.04869 − 3.73406I 0
u = −0.780516 + 0.975804I
a = 0.418873 − 0.437959I
b = −0.104042 − 0.725092I
−3.04869 − 3.73406I 0
u = −0.780516 − 0.975804I
a = 1.094250 + 0.038354I
b = −0.77369 + 1.21208I
−3.04869 + 3.73406I 0
u = −0.780516 − 0.975804I
a = 0.418873 + 0.437959I
b = −0.104042 + 0.725092I
−3.04869 + 3.73406I 0
u = 0.295557 + 0.677695I
a = 0.516824 + 0.466008I
b = 0.468756 − 0.058249I
0.82988 + 2.31019I 3.86149 − 2.88090I
u = 0.295557 + 0.677695I
a = 1.54228 − 0.10299I
b = −0.342855 + 0.853489I
0.82988 + 2.31019I 3.86149 − 2.88090I
u = 0.295557 − 0.677695I
a = 0.516824 − 0.466008I
b = 0.468756 + 0.058249I
0.82988 − 2.31019I 3.86149 + 2.88090I
u = 0.295557 − 0.677695I
a = 1.54228 + 0.10299I
b = −0.342855 − 0.853489I
0.82988 − 2.31019I 3.86149 + 2.88090I
u = −0.633435 + 0.371000I
a = −1.124320 + 0.058682I
b = 0.737202 − 0.115396I
−1.06546 − 6.91683I 0.43421 + 8.50150I
u = −0.633435 + 0.371000I
a = 1.78132 − 0.81155I
b = 0.467812 − 1.221720I
−1.06546 − 6.91683I 0.43421 + 8.50150I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.633435 − 0.371000I
a = −1.124320 − 0.058682I
b = 0.737202 + 0.115396I
−1.06546 + 6.91683I 0.43421 − 8.50150I
u = −0.633435 − 0.371000I
a = 1.78132 + 0.81155I
b = 0.467812 + 1.221720I
−1.06546 + 6.91683I 0.43421 − 8.50150I
u = −0.097600 + 0.723176I
a = −1.43915 − 0.69503I
b = 1.151740 − 0.109561I
1.28336 − 1.67590I 8.72169 + 2.03818I
u = −0.097600 + 0.723176I
a = 1.67668 − 0.83110I
b = 0.30399 − 1.67361I
1.28336 − 1.67590I 8.72169 + 2.03818I
u = −0.097600 − 0.723176I
a = −1.43915 + 0.69503I
b = 1.151740 + 0.109561I
1.28336 + 1.67590I 8.72169 − 2.03818I
u = −0.097600 − 0.723176I
a = 1.67668 + 0.83110I
b = 0.30399 + 1.67361I
1.28336 + 1.67590I 8.72169 − 2.03818I
u = 0.544960 + 1.150510I
a = −0.582756 − 1.180870I
b = 1.48806 − 1.88327I
3.49867 − 8.31196I 0
u = 0.544960 + 1.150510I
a = 0.018563 + 0.590186I
b = −0.52299 + 1.59969I
3.49867 − 8.31196I 0
u = 0.544960 − 1.150510I
a = −0.582756 + 1.180870I
b = 1.48806 + 1.88327I
3.49867 + 8.31196I 0
u = 0.544960 − 1.150510I
a = 0.018563 − 0.590186I
b = −0.52299 − 1.59969I
3.49867 + 8.31196I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.701678 + 0.182233I
a = 1.060460 − 0.531001I
b = −0.07011 − 1.82820I
−4.71965 + 0.26776I −7.84072 + 1.45696I
u = −0.701678 + 0.182233I
a = 0.83007 − 1.28104I
b = −0.112149 − 0.954134I
−4.71965 + 0.26776I −7.84072 + 1.45696I
u = −0.701678 − 0.182233I
a = 1.060460 + 0.531001I
b = −0.07011 + 1.82820I
−4.71965 − 0.26776I −7.84072 − 1.45696I
u = −0.701678 − 0.182233I
a = 0.83007 + 1.28104I
b = −0.112149 + 0.954134I
−4.71965 − 0.26776I −7.84072 − 1.45696I
u = −0.349083 + 1.237040I
a = 0.549728 − 1.227360I
b = −0.952232 − 0.658300I
4.05260 + 5.43943I 0
u = −0.349083 + 1.237040I
a = −1.23525 − 2.13418I
b = −1.19887 + 1.59856I
4.05260 + 5.43943I 0
u = −0.349083 − 1.237040I
a = 0.549728 + 1.227360I
b = −0.952232 + 0.658300I
4.05260 − 5.43943I 0
u = −0.349083 − 1.237040I
a = −1.23525 + 2.13418I
b = −1.19887 − 1.59856I
4.05260 − 5.43943I 0
u = 0.490639 + 1.196390I
a = 0.396924 + 1.171430I
b = −1.00156 + 1.27551I
0.58726 − 13.31670I 0
u = 0.490639 + 1.196390I
a = −1.37440 + 0.78093I
b = −0.285684 − 1.201120I
0.58726 − 13.31670I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.490639 − 1.196390I
a = 0.396924 − 1.171430I
b = −1.00156 − 1.27551I
0.58726 + 13.31670I 0
u = 0.490639 − 1.196390I
a = −1.37440 − 0.78093I
b = −0.285684 + 1.201120I
0.58726 + 13.31670I 0
u = 0.432136 + 1.222390I
a = 0.184360 + 0.740494I
b = −0.245727 + 1.154470I
4.18066 − 8.83759I 0
u = 0.432136 + 1.222390I
a = −0.775040 − 0.989800I
b = 1.51112 − 1.66333I
4.18066 − 8.83759I 0
u = 0.432136 − 1.222390I
a = 0.184360 − 0.740494I
b = −0.245727 − 1.154470I
4.18066 + 8.83759I 0
u = 0.432136 − 1.222390I
a = −0.775040 + 0.989800I
b = 1.51112 + 1.66333I
4.18066 + 8.83759I 0
u = −0.120553 + 0.683347I
a = 1.186470 − 0.001542I
b = −0.11733 + 1.72391I
0.33510 + 6.83537I 2.66389 − 6.91923I
u = −0.120553 + 0.683347I
a = −1.02189 + 1.09642I
b = 1.50240 + 0.71171I
0.33510 + 6.83537I 2.66389 − 6.91923I
u = −0.120553 − 0.683347I
a = 1.186470 + 0.001542I
b = −0.11733 − 1.72391I
0.33510 − 6.83537I 2.66389 + 6.91923I
u = −0.120553 − 0.683347I
a = −1.02189 − 1.09642I
b = 1.50240 − 0.71171I
0.33510 − 6.83537I 2.66389 + 6.91923I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.087446 + 1.319070I
a = 0.823529 + 0.099698I
b = −2.69089 + 0.37586I
−3.18723 − 1.08607I 0
u = 0.087446 + 1.319070I
a = −0.393914 + 0.048276I
b = −0.557800 − 0.079118I
−3.18723 − 1.08607I 0
u = 0.087446 − 1.319070I
a = 0.823529 − 0.099698I
b = −2.69089 − 0.37586I
−3.18723 + 1.08607I 0
u = 0.087446 − 1.319070I
a = −0.393914 − 0.048276I
b = −0.557800 + 0.079118I
−3.18723 + 1.08607I 0
u = 0.107749 + 0.611816I
a = −0.422478 + 0.124663I
b = −1.92716 − 2.26824I
−5.53005 − 0.17570I −5.49764 + 10.58271I
u = 0.107749 + 0.611816I
a = 1.79407 + 0.60888I
b = −1.279200 − 0.128681I
−5.53005 − 0.17570I −5.49764 + 10.58271I
u = 0.107749 − 0.611816I
a = −0.422478 − 0.124663I
b = −1.92716 + 2.26824I
−5.53005 + 0.17570I −5.49764 − 10.58271I
u = 0.107749 − 0.611816I
a = 1.79407 − 0.60888I
b = −1.279200 + 0.128681I
−5.53005 + 0.17570I −5.49764 − 10.58271I
u = 0.693823 + 1.224950I
a = −0.402026 − 1.099940I
b = 1.79335 − 1.79842I
2.75590 − 8.75497I 0
u = 0.693823 + 1.224950I
a = 0.146878 + 0.506968I
b = −0.790945 + 1.005850I
2.75590 − 8.75497I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.693823 − 1.224950I
a = −0.402026 + 1.099940I
b = 1.79335 + 1.79842I
2.75590 + 8.75497I 0
u = 0.693823 − 1.224950I
a = 0.146878 − 0.506968I
b = −0.790945 − 1.005850I
2.75590 + 8.75497I 0
u = 0.380762 + 0.421870I
a = 0.769585 − 0.055529I
b = 0.90071 + 1.89782I
−0.82034 + 3.45064I −4.51101 − 0.56063I
u = 0.380762 + 0.421870I
a = 2.05093 + 0.66406I
b = −0.505484 + 0.949802I
−0.82034 + 3.45064I −4.51101 − 0.56063I
u = 0.380762 − 0.421870I
a = 0.769585 + 0.055529I
b = 0.90071 − 1.89782I
−0.82034 − 3.45064I −4.51101 + 0.56063I
u = 0.380762 − 0.421870I
a = 2.05093 − 0.66406I
b = −0.505484 − 0.949802I
−0.82034 − 3.45064I −4.51101 + 0.56063I
u = 0.10701 + 1.44556I
a = 0.488907 − 0.696187I
b = −0.1007210 − 0.0467363I
6.50706 − 1.77206I 0
u = 0.10701 + 1.44556I
a = 0.328435 + 0.641751I
b = −0.212340 + 0.356899I
6.50706 − 1.77206I 0
u = 0.10701 − 1.44556I
a = 0.488907 + 0.696187I
b = −0.1007210 + 0.0467363I
6.50706 + 1.77206I 0
u = 0.10701 − 1.44556I
a = 0.328435 − 0.641751I
b = −0.212340 − 0.356899I
6.50706 + 1.77206I 0
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.87996 + 1.15242I
a = 0.032800 + 1.372840I
b = 2.58042 + 1.21564I
−1.10876 + 3.85557I 0
u = −0.87996 + 1.15242I
a = 0.130295 − 0.405417I
b = −0.873476 − 0.586398I
−1.10876 + 3.85557I 0
u = −0.87996 − 1.15242I
a = 0.032800 − 1.372840I
b = 2.58042 − 1.21564I
−1.10876 − 3.85557I 0
u = −0.87996 − 1.15242I
a = 0.130295 + 0.405417I
b = −0.873476 + 0.586398I
−1.10876 − 3.85557I 0
u = 0.38308 + 1.41396I
a = 1.167830 + 0.642824I
b = −2.47695 + 1.25278I
1.10876 + 3.85557I 0
u = 0.38308 + 1.41396I
a = −0.110997 + 0.397681I
b = −0.500360 − 0.220530I
1.10876 + 3.85557I 0
u = 0.38308 − 1.41396I
a = 1.167830 − 0.642824I
b = −2.47695 − 1.25278I
1.10876 − 3.85557I 0
u = 0.38308 − 1.41396I
a = −0.110997 − 0.397681I
b = −0.500360 + 0.220530I
1.10876 − 3.85557I 0
u = −0.56291 + 1.36548I
a = 1.206630 + 0.683409I
b = −0.10063 − 1.71772I
4.52062I 0
u = −0.56291 + 1.36548I
a = 0.241258 − 0.350445I
b = −0.547678 − 0.456612I
4.52062I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.56291 − 1.36548I
a = 1.206630 − 0.683409I
b = −0.10063 + 1.71772I
− 4.52062I 0
u = −0.56291 − 1.36548I
a = 0.241258 + 0.350445I
b = −0.547678 + 0.456612I
− 4.52062I 0
u = −0.192308 + 0.468211I
a = 0.347167 + 0.421623I
b = 1.20460 − 3.28670I
−3.49867 − 8.31196I −16.6688 + 2.2002I
u = −0.192308 + 0.468211I
a = 2.56979 − 0.04405I
b = −0.816923 − 0.856916I
−3.49867 − 8.31196I −16.6688 + 2.2002I
u = −0.192308 − 0.468211I
a = 0.347167 − 0.421623I
b = 1.20460 + 3.28670I
−3.49867 + 8.31196I −16.6688 − 2.2002I
u = −0.192308 − 0.468211I
a = 2.56979 + 0.04405I
b = −0.816923 + 0.856916I
−3.49867 + 8.31196I −16.6688 − 2.2002I
u = −0.75845 + 1.35195I
a = −0.312924 + 0.960884I
b = 1.77255 + 1.64557I
−0.58726 + 13.31670I 0
u = −0.75845 + 1.35195I
a = 0.200936 − 0.484407I
b = −0.668173 − 0.865164I
−0.58726 + 13.31670I 0
u = −0.75845 − 1.35195I
a = −0.312924 − 0.960884I
b = 1.77255 − 1.64557I
−0.58726 − 13.31670I 0
u = −0.75845 − 1.35195I
a = 0.200936 + 0.484407I
b = −0.668173 + 0.865164I
−0.58726 − 13.31670I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.73124 + 0.22465I
a = 0.718201 − 0.374159I
b = 1.54353 − 1.91197I
−4.05260 − 5.43943I 0
u = −1.73124 + 0.22465I
a = 0.002827 + 0.149947I
b = 0.191317 + 0.324352I
−4.05260 − 5.43943I 0
u = −1.73124 − 0.22465I
a = 0.718201 + 0.374159I
b = 1.54353 + 1.91197I
−4.05260 + 5.43943I 0
u = −1.73124 − 0.22465I
a = 0.002827 − 0.149947I
b = 0.191317 − 0.324352I
−4.05260 + 5.43943I 0
31
III. I
u
3
= h−9.60 × 10
21
u
51
+ 4.28 × 10
20
u
50
+ · · · + 1.61 × 10
20
b + 5.52 ×
10
21
, −4.99 × 10
18
u
51
− 9.77 × 10
20
u
50
+ · · · + 1.61 × 10
20
a − 5.20 ×
10
21
, u
52
+ 12u
50
+ · · · + 16u
2
+ 1i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
u
2
a
12
=
0.0309338u
51
+ 6.05487u
50
+ ··· + 19.4003u + 32.2439
59.4656u
51
− 2.64945u
50
+ ··· + 156.522u − 34.2298
a
10
=
22.6095u
51
− 17.8558u
50
+ ··· + 61.1984u − 70.2876
−1.43367u
51
+ 0.913557u
50
+ ··· − 9.77366u − 12.3735
a
8
=
u
u
3
+ u
a
1
=
−21.8246u
51
+ 3.95418u
50
+ ··· − 39.6156u + 40.3069
44.7304u
51
− 2.27759u
50
+ ··· + 119.362u − 24.0661
a
7
=
−20.1119u
51
+ 37.1913u
50
+ ··· − 57.7791u + 97.5370
8.06299u
51
− 21.8555u
50
+ ··· + 60.4188u − 59.0159
a
6
=
−28.1749u
51
+ 59.0468u
50
+ ··· − 118.198u + 156.553
8.06299u
51
− 21.8555u
50
+ ··· + 60.4188u − 59.0159
a
4
=
−30.2293u
51
+ 6.00863u
50
+ ··· − 162.600u + 12.8359
−13.6621u
51
+ 4.90242u
50
+ ··· − 40.0584u + 16.6009
a
5
=
20.5303u
51
− 43.9342u
50
+ ··· + 130.243u − 168.989
−38.3114u
51
+ 18.5965u
50
+ ··· − 64.6511u + 89.1354
a
11
=
45.2012u
51
− 38.9236u
50
+ ··· + 170.568u − 44.1208
−52.8952u
51
+ 19.7867u
50
+ ··· − 214.190u + 59.4539
(ii) Obstruction class = 1
(iii) Cusp Shapes =
17732761623696656019331
40351425724341964161
u
50
+
205191060883612422160468
40351425724341964161
u
48
+ ··· +
515706544913905624698364
40351425724341964161
u
2
+
35017884878313362967722
40351425724341964161
32
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
52
− 6u
51
+ ··· + 14u + 1
c
2
, c
4
, c
8
c
10
u
52
+ 12u
50
+ ··· + 16u
2
+ 1
c
3
, c
9
u
52
+ 6u
51
+ ··· − 14u + 1
c
5
, c
11
u
52
− 3u
51
+ ··· + 216u + 27
c
6
, c
12
u
52
+ 3u
51
+ ··· − 216u + 27
33
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
7
c
9
y
52
− 20y
51
+ ··· − 84y + 1
c
2
, c
4
, c
8
c
10
(y
26
+ 12y
25
+ ··· + 16y + 1)
2
c
5
, c
6
, c
11
c
12
y
52
+ 23y
51
+ ··· − 16524y + 729
34
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.330669 + 0.909994I
a = 0.590713 − 1.176180I
b = −0.275830 − 0.759180I
2.92863 − 1.38058I 0. + 8.63453I
u = 0.330669 − 0.909994I
a = 0.590713 + 1.176180I
b = −0.275830 + 0.759180I
2.92863 + 1.38058I 0. − 8.63453I
u = −0.330669 + 0.909994I
a = 0.72400 + 1.83150I
b = 0.906198 + 0.612506I
2.92863 + 1.38058I 0. − 8.63453I
u = −0.330669 − 0.909994I
a = 0.72400 − 1.83150I
b = 0.906198 − 0.612506I
2.92863 − 1.38058I 0. + 8.63453I
u = 0.182342 + 1.109850I
a = 0.626494 − 1.086700I
b = 0.626072 − 0.190069I
5.59430 − 0.24221I 0
u = 0.182342 − 1.109850I
a = 0.626494 + 1.086700I
b = 0.626072 + 0.190069I
5.59430 + 0.24221I 0
u = −0.182342 + 1.109850I
a = −0.041833 − 0.792028I
b = 0.440979 − 0.932368I
5.59430 + 0.24221I 0
u = −0.182342 − 1.109850I
a = −0.041833 + 0.792028I
b = 0.440979 + 0.932368I
5.59430 − 0.24221I 0
u = −0.027305 + 1.166910I
a = 0.859418 + 0.068255I
b = −2.51520 + 0.27341I
−2.92863 − 1.38058I 0
u = −0.027305 − 1.166910I
a = 0.859418 − 0.068255I
b = −2.51520 − 0.27341I
−2.92863 + 1.38058I 0
35
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.027305 + 1.166910I
a = −0.350308 + 0.006572I
b = −0.997433 − 0.343946I
−2.92863 + 1.38058I 0
u = 0.027305 − 1.166910I
a = −0.350308 − 0.006572I
b = −0.997433 + 0.343946I
−2.92863 − 1.38058I 0
u = 0.721877 + 0.294421I
a = 1.32411 + 0.67927I
b = 0.354365 + 0.743069I
1.59061I − 60.10 + 0.309105I
u = 0.721877 − 0.294421I
a = 1.32411 − 0.67927I
b = 0.354365 − 0.743069I
− 1.59061I − 60.10 − 0.309105I
u = −0.721877 + 0.294421I
a = −0.099376 − 1.101110I
b = −0.238112 − 1.188840I
− 1.59061I − 60.10 − 0.309105I
u = −0.721877 − 0.294421I
a = −0.099376 + 1.101110I
b = −0.238112 + 1.188840I
1.59061I − 60.10 + 0.309105I
u = −0.525640 + 1.167930I
a = 0.082495 − 0.555573I
b = −0.30025 − 1.60671I
3.23717 + 8.39532I 0
u = −0.525640 − 1.167930I
a = 0.082495 + 0.555573I
b = −0.30025 + 1.60671I
3.23717 − 8.39532I 0
u = 0.525640 + 1.167930I
a = −0.618113 − 1.125200I
b = 1.46774 − 1.88106I
3.23717 − 8.39532I 0
u = 0.525640 − 1.167930I
a = −0.618113 + 1.125200I
b = 1.46774 + 1.88106I
3.23717 + 8.39532I 0
36
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.505723 + 1.179700I
a = −0.361060 + 0.349966I
b = 0.765451 + 0.184274I
11.4773I 0
u = 0.505723 − 1.179700I
a = −0.361060 − 0.349966I
b = 0.765451 − 0.184274I
− 11.4773I 0
u = −0.505723 + 1.179700I
a = −0.524770 + 1.087140I
b = 1.06182 + 1.62738I
− 11.4773I 0
u = −0.505723 − 1.179700I
a = −0.524770 − 1.087140I
b = 1.06182 − 1.62738I
11.4773I 0
u = 0.360860 + 1.252980I
a = −0.539782 − 1.209140I
b = 1.043840 − 0.613789I
3.96844 − 5.48743I 0
u = 0.360860 − 1.252980I
a = −0.539782 + 1.209140I
b = 1.043840 + 0.613789I
3.96844 + 5.48743I 0
u = −0.360860 + 1.252980I
a = −0.74434 − 2.16378I
b = −1.47472 + 1.24638I
3.96844 + 5.48743I 0
u = −0.360860 − 1.252980I
a = −0.74434 + 2.16378I
b = −1.47472 − 1.24638I
3.96844 − 5.48743I 0
u = 0.463846 + 1.232850I
a = 0.973133 + 0.554764I
b = −1.88805 + 1.60693I
1.03054 + 3.59510I 0
u = 0.463846 − 1.232850I
a = 0.973133 − 0.554764I
b = −1.88805 − 1.60693I
1.03054 − 3.59510I 0
37
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.463846 + 1.232850I
a = 0.284886 + 0.477702I
b = 0.569303 − 0.310949I
1.03054 − 3.59510I 0
u = −0.463846 − 1.232850I
a = 0.284886 − 0.477702I
b = 0.569303 + 0.310949I
1.03054 + 3.59510I 0
u = 0.767180 + 1.079350I
a = −0.188830 − 0.374648I
b = 1.039400 − 0.678148I
−1.03054 − 3.59510I 0
u = 0.767180 − 1.079350I
a = −0.188830 + 0.374648I
b = 1.039400 + 0.678148I
−1.03054 + 3.59510I 0
u = −0.767180 + 1.079350I
a = −0.255038 + 1.231260I
b = 1.76047 + 1.73834I
−1.03054 + 3.59510I 0
u = −0.767180 − 1.079350I
a = −0.255038 − 1.231260I
b = 1.76047 − 1.73834I
−1.03054 − 3.59510I 0
u = −0.031790 + 0.572504I
a = 1.92952 + 0.36300I
b = −1.369510 + 0.130223I
−5.59430 + 0.24221I −8.84698 − 6.57492I
u = −0.031790 − 0.572504I
a = 1.92952 − 0.36300I
b = −1.369510 − 0.130223I
−5.59430 − 0.24221I −8.84698 + 6.57492I
u = 0.031790 + 0.572504I
a = 1.051370 + 0.640212I
b = −2.09749 + 1.59760I
−5.59430 − 0.24221I −8.84698 + 6.57492I
u = 0.031790 − 0.572504I
a = 1.051370 − 0.640212I
b = −2.09749 − 1.59760I
−5.59430 + 0.24221I −8.84698 − 6.57492I
38
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.093442 + 0.555250I
a = −0.472178 + 1.012490I
b = 1.20892 + 3.05930I
−3.23717 + 8.39532I 11.3193 − 10.3816I
u = 0.093442 − 0.555250I
a = −0.472178 − 1.012490I
b = 1.20892 − 3.05930I
−3.23717 − 8.39532I 11.3193 + 10.3816I
u = −0.093442 + 0.555250I
a = 2.34926 + 0.42303I
b = −0.712387 − 0.746501I
−3.23717 − 8.39532I 11.3193 + 10.3816I
u = −0.093442 − 0.555250I
a = 2.34926 − 0.42303I
b = −0.712387 + 0.746501I
−3.23717 + 8.39532I 11.3193 − 10.3816I
u = −0.370648 + 0.311476I
a = 0.84040 − 1.62115I
b = 0.165124 + 0.274609I
4.00708I 0. − 5.30502I
u = −0.370648 − 0.311476I
a = 0.84040 + 1.62115I
b = 0.165124 − 0.274609I
− 4.00708I 0. + 5.30502I
u = 0.370648 + 0.311476I
a = −0.03786 − 2.33604I
b = 0.557538 − 1.253490I
− 4.00708I 0. + 5.30502I
u = 0.370648 − 0.311476I
a = −0.03786 + 2.33604I
b = 0.557538 + 1.253490I
4.00708I 0. − 5.30502I
u = 1.72570 + 0.06074I
a = −0.0835741 − 0.0065545I
b = −0.317978 + 0.188319I
−3.96844 + 5.48743I 0
u = 1.72570 − 0.06074I
a = −0.0835741 + 0.0065545I
b = −0.317978 − 0.188319I
−3.96844 − 5.48743I 0
39
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.72570 + 0.06074I
a = 0.681256 − 0.372837I
b = 1.71975 − 1.53033I
−3.96844 − 5.48743I 0
u = −1.72570 − 0.06074I
a = 0.681256 + 0.372837I
b = 1.71975 + 1.53033I
−3.96844 + 5.48743I 0
40
IV. I
u
4
= hb − u − 2, a − u, u
2
+ u + 1i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
−u − 1
a
12
=
u
u + 2
a
10
=
1
−u − 1
a
8
=
u
u + 1
a
1
=
−1
u + 1
a
7
=
2u
u + 2
a
6
=
u − 2
u + 2
a
4
=
−2u − 2
u
a
5
=
−3
2u + 2
a
11
=
−3u − 2
u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −16u − 8
41
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
5
, c
10
u
2
+ u + 1
c
4
, c
7
, c
8
c
9
, c
12
u
2
− u + 1
c
6
u
2
+ 3u + 3
c
11
u
2
− 3u + 3
42
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
7
c
8
, c
9
, c
10
c
12
y
2
+ y + 1
c
6
, c
11
y
2
− 3y + 9
43
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = −0.500000 + 0.866025I
b = 1.50000 + 0.86603I
8.11953I 0. − 13.85641I
u = −0.500000 − 0.866025I
a = −0.500000 − 0.866025I
b = 1.50000 − 0.86603I
− 8.11953I 0. + 13.85641I
44
V. I
u
5
= hb + 3u − 2, a + u, u
2
− u + 1i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
u − 1
a
12
=
−u
−3u + 2
a
10
=
−1
−u − 1
a
8
=
u
u − 1
a
1
=
1
−u + 1
a
7
=
0
−u
a
6
=
u
−u
a
4
=
0
u
a
5
=
−1
−2
a
11
=
−u
−3u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 16u − 8
45
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
6
, c
10
u
2
− u + 1
c
4
, c
7
, c
8
c
9
, c
11
u
2
+ u + 1
c
5
u
2
− 3u + 3
c
12
u
2
+ 3u + 3
46
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
6
, c
7
c
8
, c
9
, c
10
c
11
y
2
+ y + 1
c
5
, c
12
y
2
− 3y + 9
47
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = −0.500000 − 0.866025I
b = 0.50000 − 2.59808I
− 8.11953I 0. + 13.85641I
u = 0.500000 − 0.866025I
a = −0.500000 + 0.866025I
b = 0.50000 + 2.59808I
8.11953I 0. − 13.85641I
48
VI.
I
u
6
= h−2u
3
−3u
2
+3b−3u−1, 4u
3
+6u
2
+3a+6u−1, u
4
+2u
3
+3u
2
+2u+1i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
u
2
a
12
=
−
4
3
u
3
− 2u
2
− 2u +
1
3
2
3
u
3
+ u
2
+ u +
1
3
a
10
=
4
3
u
3
+ 4u
2
+ 5u +
8
3
−
1
3
u
3
− u
2
−
2
3
a
8
=
u
u
3
+ u
a
1
=
−u
3
− 2u
2
− 2u + 1
4
3
u
3
+ 3u
2
+ 2u +
5
3
a
7
=
1
3
u
3
− u
2
− u −
7
3
−
1
3
u
3
− u
2
− u −
2
3
a
6
=
2
3
u
3
−
5
3
−
1
3
u
3
− u
2
− u −
2
3
a
4
=
−
5
3
u
3
− 4u
2
− 5u −
7
3
−
2
3
u
3
− u −
1
3
a
5
=
−
2
3
u
3
− 3u
2
− 5u −
10
3
−u
3
− u
a
11
=
−u
3
− 2u
2
− 2u
2
3
u
3
+ u
2
+ u +
1
3
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
16
3
u
3
− 8u
2
− 16u −
20
3
49
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
5
, c
10
(u
2
+ u + 1)
2
c
4
, c
7
, c
8
c
9
, c
12
(u
2
− u + 1)
2
c
6
, c
11
u
4
50
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
7
c
8
, c
9
, c
10
c
12
(y
2
+ y + 1)
2
c
6
, c
11
y
4
51
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
6
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = 1.00000
b = 0
4.05977I 0. − 6.92820I
u = −0.500000 + 0.866025I
a = 1.00000
b = 0
4.05977I 0. − 6.92820I
u = −0.500000 − 0.866025I
a = 1.00000
b = 0
− 4.05977I 0. + 6.92820I
u = −0.500000 − 0.866025I
a = 1.00000
b = 0
− 4.05977I 0. + 6.92820I
52
VII.
I
u
7
= h4u
3
− 6u
2
+ 3b + 9u − 5, 2u
3
− 3u
2
+ a + 4u − 1, u
4
− 2u
3
+ 3u
2
− 2u + 1i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
u
2
a
12
=
−2u
3
+ 3u
2
− 4u + 1
−
4
3
u
3
+ 2u
2
− 3u +
5
3
a
10
=
−u
3
− 2
−
5
3
u
3
+ 2u
2
− 2u +
1
3
a
8
=
u
u
3
+ u
a
1
=
−
7
3
u
3
+ 3u
2
− 4u +
2
3
−2u
3
+ 3u
2
− 4u + 2
a
7
=
5
3
u
3
− 3u
2
+ 5u −
7
3
2
3
u
3
− u
2
+ 2u −
4
3
a
6
=
u
3
− 2u
2
+ 3u − 1
2
3
u
3
− u
2
+ 2u −
4
3
a
4
=
2
3
u
3
− u +
8
3
u
3
− u
2
+ 2u
a
5
=
1
3
u
3
− u
2
+ 2u −
2
3
1
3
u
3
+ u −
2
3
a
11
=
−
5
3
u
3
+ 2u
2
− 2u −
5
3
−
4
3
u
3
+ 2u
2
− 3u +
2
3
(ii) Obstruction class = 1
(iii) Cusp Shapes =
16
3
u
3
− 8u
2
+ 16u −
20
3
53
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
6
, c
10
(u
2
− u + 1)
2
c
4
, c
7
, c
8
c
9
, c
11
(u
2
+ u + 1)
2
c
5
, c
12
u
4
54
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
6
, c
7
c
8
, c
9
, c
10
c
11
(y
2
+ y + 1)
2
c
5
, c
12
y
4
55
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
7
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = −0.500000 − 0.866025I
b = 0.500000 − 0.866025I
− 4.05977I 0. + 6.92820I
u = 0.500000 + 0.866025I
a = −0.500000 − 0.866025I
b = 0.500000 − 0.866025I
− 4.05977I 0. + 6.92820I
u = 0.500000 − 0.866025I
a = −0.500000 + 0.866025I
b = 0.500000 + 0.866025I
4.05977I 0. − 6.92820I
u = 0.500000 − 0.866025I
a = −0.500000 + 0.866025I
b = 0.500000 + 0.866025I
4.05977I 0. − 6.92820I
56
VIII. I
u
8
= hb − u, a, u
2
+ u + 1i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
−u − 1
a
12
=
0
u
a
10
=
0
u
a
8
=
u
u + 1
a
1
=
1
0
a
7
=
u
u
a
6
=
0
u
a
4
=
1
0
a
5
=
u
u
a
11
=
1
u + 1
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u − 2
57
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
9
u
2
c
2
, c
3
, c
5
c
6
, c
8
u
2
+ u + 1
c
4
, c
7
, c
10
c
11
, c
12
u
2
− u + 1
58
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
9
y
2
c
2
, c
3
, c
4
c
5
, c
6
, c
7
c
8
, c
10
, c
11
c
12
y
2
+ y + 1
59
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
8
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = 0
b = −0.500000 + 0.866025I
2.02988I 0. − 3.46410I
u = −0.500000 − 0.866025I
a = 0
b = −0.500000 − 0.866025I
− 2.02988I 0. + 3.46410I
60
IX. I
u
9
= hb + u + 1, a − 1, u
2
+ u + 1i
(i) Arc colorings
a
2
=
1
0
a
9
=
0
u
a
3
=
1
−u − 1
a
12
=
1
−u − 1
a
10
=
u
u + 1
a
8
=
u
u + 1
a
1
=
u + 2
−u
a
7
=
u
u + 1
a
6
=
−1
u + 1
a
4
=
1
−u − 1
a
5
=
2u
u + 2
a
11
=
u + 2
−u
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u − 2
61
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
5
c
6
, c
10
u
2
− u + 1
c
2
, c
8
, c
9
c
11
, c
12
u
2
+ u + 1
c
3
, c
7
u
2
62
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
4
c
5
, c
6
, c
8
c
9
, c
10
, c
11
c
12
y
2
+ y + 1
c
3
, c
7
y
2
63
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
9
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = 1.00000
b = −0.500000 − 0.866025I
2.02988I 0. − 3.46410I
u = −0.500000 − 0.866025I
a = 1.00000
b = −0.500000 + 0.866025I
− 2.02988I 0. + 3.46410I
64
X. I
v
1
= ha, b
2
− b + 1, v + 1i
(i) Arc colorings
a
2
=
1
0
a
9
=
−1
0
a
3
=
1
0
a
12
=
0
b
a
10
=
−1
b − 1
a
8
=
−1
0
a
1
=
b
b
a
7
=
−b
−b
a
6
=
0
−b
a
4
=
1
−b + 1
a
5
=
1
−b + 1
a
11
=
−1
b − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −8b + 4
65
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
, c
7
c
12
u
2
− u + 1
c
2
, c
4
, c
8
c
10
u
2
c
3
, c
5
, c
9
c
11
u
2
+ u + 1
66
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
5
c
6
, c
7
, c
9
c
11
, c
12
y
2
+ y + 1
c
2
, c
4
, c
8
c
10
y
2
67
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −1.00000
a = 0
b = 0.500000 + 0.866025I
4.05977I 0. − 6.92820I
v = −1.00000
a = 0
b = 0.500000 − 0.866025I
− 4.05977I 0. + 6.92820I
68
XI. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
7
u
2
(u
2
− u + 1)
5
(u
2
+ u + 1)
3
(u
52
− 6u
51
+ ··· + 14u + 1)
· (u
60
− 3u
59
+ ··· − 8u + 1)
c
2
, c
8
u
2
(u
2
− u + 1)
3
(u
2
+ u + 1)
5
(u
52
+ 12u
50
+ ··· + 16u
2
+ 1)
· (u
60
− 5u
59
+ ··· + 1080u − 388)
c
3
, c
9
u
2
(u
2
− u + 1)
3
(u
2
+ u + 1)
5
(u
52
+ 6u
51
+ ··· − 14u + 1)
· (u
60
+ 3u
59
+ ··· + 8u + 1)
c
4
, c
10
u
2
(u
2
− u + 1)
5
(u
2
+ u + 1)
3
(u
52
+ 12u
50
+ ··· + 16u
2
+ 1)
· (u
60
+ 5u
59
+ ··· − 1080u − 388)
c
5
, c
11
u
4
(u
2
− 3u + 3)(u
2
− u + 1)(u
2
+ u + 1)
5
(u
52
− 3u
51
+ ··· + 216u + 27)
· (u
60
+ u
59
+ ··· + 16u + 1)
c
6
, c
12
u
4
(u
2
− u + 1)
5
(u
2
+ u + 1)(u
2
+ 3u + 3)(u
52
+ 3u
51
+ ··· − 216u + 27)
· (u
60
− u
59
+ ··· − 16u + 1)
69
XII. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
7
c
9
y
2
(y
2
+ y + 1)
8
(y
52
− 20y
51
+ ··· − 84y + 1)
· (y
60
− 19y
59
+ ··· + 260y
2
+ 1)
c
2
, c
4
, c
8
c
10
y
2
(y
2
+ y + 1)
8
(y
26
+ 12y
25
+ ··· + 16y + 1)
2
· (y
60
+ 25y
59
+ ··· − 621648y + 150544)
c
5
, c
6
, c
11
c
12
y
4
(y
2
− 3y + 9)(y
2
+ y + 1)
6
(y
52
+ 23y
51
+ ··· − 16524y + 729)
· (y
60
− 5y
59
+ ··· − 124y + 1)
70
