12a
1264
(K12a
1264
)
A knot diagram
1
Linearized knot diagam
5 7 10 9 2 11 12 1 4 6 3 8
Solving Sequence
6,11 3,7
12 8 2 5 1 10 4 9
c
6
c
11
c
7
c
2
c
5
c
1
c
10
c
3
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h3.13949 × 10
171
u
83
− 3.46511 × 10
171
u
82
+ ··· + 5.32421 × 10
170
b − 1.19378 × 10
171
,
− 2.38315 × 10
171
u
83
+ 3.77864 × 10
171
u
82
+ ··· + 5.32421 × 10
170
a + 2.46920 × 10
171
,
u
84
− 25u
82
+ ··· + 13u − 1i
I
u
2
= h309u
20
− 434u
19
+ ··· + 151b + 4415, −1708u
20
+ 524u
19
+ ··· + 453a − 8666,
u
21
+ u
20
+ ··· − u + 3i
* 2 irreducible components of dim
C
= 0, with total 105 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
= h3.14 × 10
171
u
83
− 3.47 × 10
171
u
82
+ · · · + 5.32 × 10
170
b − 1.19 ×
10
171
, −2.38 × 10
171
u
83
+ 3.78 × 10
171
u
82
+ · · · + 5.32 × 10
170
a + 2.47 ×
10
171
, u
84
− 25u
82
+ · · · + 13u − 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
4.47607u
83
− 7.09709u
82
+ ··· − 18.2333u − 4.63769
−5.89664u
83
+ 6.50822u
82
+ ··· − 44.1982u + 2.24218
a
7
=
1
−u
2
a
12
=
−18.0492u
83
+ 8.20140u
82
+ ··· − 415.778u + 31.3112
2.49929u
83
+ 3.57268u
82
+ ··· + 164.885u − 10.6843
a
8
=
15.6145u
83
− 5.52415u
82
+ ··· + 412.476u − 26.8042
3.57130u
83
− 8.28773u
82
+ ··· − 88.3591u + 5.88454
a
2
=
6.88232u
83
− 8.12828u
82
+ ··· + 34.3068u − 9.49260
−5.50421u
83
+ 5.02640u
82
+ ··· − 60.0099u + 3.27337
a
5
=
1.92440u
83
+ 5.93603u
82
+ ··· + 173.361u − 18.2079
5.97631u
83
− 8.10078u
82
+ ··· + 23.9453u − 3.48550
a
1
=
26.8430u
83
− 12.5479u
82
+ ··· + 615.839u − 42.1863
−6.98242u
83
− 1.49313u
82
+ ··· − 279.352u + 19.5683
a
10
=
−u
u
a
4
=
6.30294u
83
− 9.23048u
82
+ ··· − 11.9985u − 5.22657
−7.72350u
83
+ 8.64161u
82
+ ··· − 50.4330u + 2.83106
a
9
=
22.0425u
83
− 15.6464u
82
+ ··· + 372.604u − 29.2883
−12.9310u
83
+ 6.98497u
82
+ ··· − 273.072u + 18.8184
(ii) Obstruction class = −1
(iii) Cusp Shapes = 24.5986u
83
− 13.3937u
82
+ ··· + 525.497u − 43.0239
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
84
− 2u
83
+ ··· + 19519u + 2263
c
2
u
84
− 2u
83
+ ··· + 160u + 47
c
3
, c
4
, c
9
u
84
+ u
83
+ ··· − 657u − 23
c
6
, c
10
u
84
− 25u
82
+ ··· + 13u − 1
c
7
, c
8
, c
12
u
84
− 3u
83
+ ··· − 1131u − 419
c
11
u
84
− 7u
83
+ ··· − 210u − 17
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
84
− 82y
83
+ ··· − 175479279y + 5121169
c
2
y
84
− 14y
83
+ ··· − 96570y + 2209
c
3
, c
4
, c
9
y
84
+ 95y
83
+ ··· − 296271y + 529
c
6
, c
10
y
84
− 50y
83
+ ··· − 225y + 1
c
7
, c
8
, c
12
y
84
− 101y
83
+ ··· − 6461353y + 175561
c
11
y
84
+ 15y
83
+ ··· − 33050y + 289
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.867430 + 0.455417I
a = −0.133628 − 0.434117I
b = 1.36054 + 1.69833I
−15.6766 + 6.1909I 0
u = 0.867430 − 0.455417I
a = −0.133628 + 0.434117I
b = 1.36054 − 1.69833I
−15.6766 − 6.1909I 0
u = −0.899889 + 0.359409I
a = −2.37851 − 0.18394I
b = 2.82048 − 1.30271I
−14.9740 + 2.0938I 0
u = −0.899889 − 0.359409I
a = −2.37851 + 0.18394I
b = 2.82048 + 1.30271I
−14.9740 − 2.0938I 0
u = −0.868335 + 0.427455I
a = −0.618033 + 0.133410I
b = 1.56081 − 1.45456I
−8.21292 − 3.78416I 0
u = −0.868335 − 0.427455I
a = −0.618033 − 0.133410I
b = 1.56081 + 1.45456I
−8.21292 + 3.78416I 0
u = 0.880746 + 0.388651I
a = −1.49482 + 0.18154I
b = 2.15146 + 1.22343I
−7.93559 + 0.21693I 0
u = 0.880746 − 0.388651I
a = −1.49482 − 0.18154I
b = 2.15146 − 1.22343I
−7.93559 − 0.21693I 0
u = 0.135631 + 0.948644I
a = −0.890436 − 0.904816I
b = 0.225715 + 0.006177I
−11.21050 − 5.58594I 0
u = 0.135631 − 0.948644I
a = −0.890436 + 0.904816I
b = 0.225715 − 0.006177I
−11.21050 + 5.58594I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.175758 + 1.060460I
a = −0.523782 + 0.447239I
b = 0.0765748 − 0.0455765I
−3.42384 + 2.62104I 0
u = −0.175758 − 1.060460I
a = −0.523782 − 0.447239I
b = 0.0765748 + 0.0455765I
−3.42384 − 2.62104I 0
u = 0.916786 + 0.121323I
a = 0.946036 + 0.576670I
b = −1.225690 + 0.365216I
1.335270 + 0.415812I 0
u = 0.916786 − 0.121323I
a = 0.946036 − 0.576670I
b = −1.225690 − 0.365216I
1.335270 − 0.415812I 0
u = 1.016070 + 0.378029I
a = 0.51715 − 1.40535I
b = −1.15430 + 0.94965I
−7.39753 + 2.82095I 0
u = 1.016070 − 0.378029I
a = 0.51715 + 1.40535I
b = −1.15430 − 0.94965I
−7.39753 − 2.82095I 0
u = 0.036897 + 0.913172I
a = −1.140940 − 0.311677I
b = −0.378045 + 0.235807I
−5.58935 − 1.48544I 0
u = 0.036897 − 0.913172I
a = −1.140940 + 0.311677I
b = −0.378045 − 0.235807I
−5.58935 + 1.48544I 0
u = −1.079560 + 0.274486I
a = 0.044313 + 0.682178I
b = −0.230708 + 0.000959I
−0.38051 − 2.58331I 0
u = −1.079560 − 0.274486I
a = 0.044313 − 0.682178I
b = −0.230708 − 0.000959I
−0.38051 + 2.58331I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.790280 + 0.392957I
a = 0.130900 + 0.658695I
b = 0.429648 − 0.708969I
−3.37846 + 0.48072I 0
u = −0.790280 − 0.392957I
a = 0.130900 − 0.658695I
b = 0.429648 + 0.708969I
−3.37846 − 0.48072I 0
u = −0.777768 + 0.402665I
a = 0.36633 − 1.49428I
b = 0.383311 − 0.248972I
−8.52352 + 0.24068I 0
u = −0.777768 − 0.402665I
a = 0.36633 + 1.49428I
b = 0.383311 + 0.248972I
−8.52352 − 0.24068I 0
u = 0.760770 + 0.430169I
a = 0.84316 + 1.22415I
b = −0.123856 + 0.735006I
−16.0312 − 2.4553I 0
u = 0.760770 − 0.430169I
a = 0.84316 − 1.22415I
b = −0.123856 − 0.735006I
−16.0312 + 2.4553I 0
u = −1.122160 + 0.152692I
a = 0.308819 + 0.442069I
b = −0.549309 + 0.368714I
−0.34832 − 2.60015I 0
u = −1.122160 − 0.152692I
a = 0.308819 − 0.442069I
b = −0.549309 − 0.368714I
−0.34832 + 2.60015I 0
u = 0.788981 + 0.357640I
a = −0.34705 + 2.19183I
b = 1.134540 − 0.534709I
−8.26520 + 3.03508I 0
u = 0.788981 − 0.357640I
a = −0.34705 − 2.19183I
b = 1.134540 + 0.534709I
−8.26520 − 3.03508I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.790536 + 0.317246I
a = −0.78228 − 3.05453I
b = 1.63787 + 1.34551I
−15.3846 − 5.0998I −9.88739 + 7.81278I
u = −0.790536 − 0.317246I
a = −0.78228 + 3.05453I
b = 1.63787 − 1.34551I
−15.3846 + 5.0998I −9.88739 − 7.81278I
u = −0.814117 + 0.247211I
a = 1.27667 − 0.87152I
b = −1.47451 − 0.25088I
−3.71295 − 3.36373I 0
u = −0.814117 − 0.247211I
a = 1.27667 + 0.87152I
b = −1.47451 + 0.25088I
−3.71295 + 3.36373I 0
u = 0.017616 + 0.849868I
a = −1.60776 + 0.49117I
b = −0.293808 − 0.510206I
−13.28140 + 3.22203I −8.45909 + 0.I
u = 0.017616 − 0.849868I
a = −1.60776 − 0.49117I
b = −0.293808 + 0.510206I
−13.28140 − 3.22203I −8.45909 + 0.I
u = 1.081380 + 0.400450I
a = −0.633082 − 0.597295I
b = 1.093700 − 0.167358I
−0.13372 + 3.12645I 0
u = 1.081380 − 0.400450I
a = −0.633082 + 0.597295I
b = 1.093700 + 0.167358I
−0.13372 − 3.12645I 0
u = 1.131450 + 0.237796I
a = −0.694414 − 0.201400I
b = 1.267510 + 0.153739I
2.34073 + 0.56455I 0
u = 1.131450 − 0.237796I
a = −0.694414 + 0.201400I
b = 1.267510 − 0.153739I
2.34073 − 0.56455I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.070570 + 0.439629I
a = −0.837100 + 0.640723I
b = 1.57879 + 0.30911I
−7.50583 − 3.64030I 0
u = −1.070570 − 0.439629I
a = −0.837100 − 0.640723I
b = 1.57879 − 0.30911I
−7.50583 + 3.64030I 0
u = 1.091050 + 0.401626I
a = −1.36685 − 0.72485I
b = 1.80488 + 0.99224I
−2.64462 + 6.21193I 0
u = 1.091050 − 0.401626I
a = −1.36685 + 0.72485I
b = 1.80488 − 0.99224I
−2.64462 − 6.21193I 0
u = −1.119800 + 0.348384I
a = −1.041310 + 0.452175I
b = 1.57156 − 0.50425I
3.04119 − 3.80641I 0
u = −1.119800 − 0.348384I
a = −1.041310 − 0.452175I
b = 1.57156 + 0.50425I
3.04119 + 3.80641I 0
u = −0.241783 + 1.214210I
a = 0.825895 − 0.665293I
b = 0.430280 + 0.214201I
−19.1675 + 9.4172I 0
u = −0.241783 − 1.214210I
a = 0.825895 + 0.665293I
b = 0.430280 − 0.214201I
−19.1675 − 9.4172I 0
u = −1.223720 + 0.476158I
a = 1.47552 − 0.75900I
b = −1.98062 + 1.83619I
−9.63548 − 7.89806I 0
u = −1.223720 − 0.476158I
a = 1.47552 + 0.75900I
b = −1.98062 − 1.83619I
−9.63548 + 7.89806I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.215040 + 0.509623I
a = 1.187300 + 0.462341I
b = −1.72380 − 1.37434I
−2.12528 + 6.47250I 0
u = 1.215040 − 0.509623I
a = 1.187300 − 0.462341I
b = −1.72380 + 1.37434I
−2.12528 − 6.47250I 0
u = −1.206440 + 0.592739I
a = 0.711590 − 0.108206I
b = −1.32604 + 0.87962I
−1.89580 − 4.00758I 0
u = −1.206440 − 0.592739I
a = 0.711590 + 0.108206I
b = −1.32604 − 0.87962I
−1.89580 + 4.00758I 0
u = 1.227470 + 0.552497I
a = 1.011470 + 0.494428I
b = −1.93617 − 0.69444I
−7.92021 + 10.93230I 0
u = 1.227470 − 0.552497I
a = 1.011470 − 0.494428I
b = −1.93617 + 0.69444I
−7.92021 − 10.93230I 0
u = −1.220070 + 0.568868I
a = 0.876785 − 0.353910I
b = −1.53903 + 0.54048I
−0.23668 − 8.23782I 0
u = −1.220070 − 0.568868I
a = 0.876785 + 0.353910I
b = −1.53903 − 0.54048I
−0.23668 + 8.23782I 0
u = 1.230280 + 0.643158I
a = 0.604167 + 0.210222I
b = −0.894349 − 0.399361I
0.72894 + 3.81668I 0
u = 1.230280 − 0.643158I
a = 0.604167 − 0.210222I
b = −0.894349 + 0.399361I
0.72894 − 3.81668I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.297120 + 0.515464I
a = 0.116731 + 0.317673I
b = −0.62017 − 1.29481I
−9.53768 + 1.73075I 0
u = 1.297120 − 0.515464I
a = 0.116731 − 0.317673I
b = −0.62017 + 1.29481I
−9.53768 − 1.73075I 0
u = 0.573690
a = 3.04400
b = −2.22304
−9.39043 −12.3580
u = −0.543911
a = 1.70271
b = −1.62590
−2.29548 −12.9570
u = −1.29610 + 0.66766I
a = −1.121490 + 0.461809I
b = 1.84156 − 1.37463I
−15.8625 − 15.9656I 0
u = −1.29610 − 0.66766I
a = −1.121490 − 0.461809I
b = 1.84156 + 1.37463I
−15.8625 + 15.9656I 0
u = 0.254593 + 0.472326I
a = 1.18965 + 1.73170I
b = −0.131607 − 0.743334I
−5.04166 − 2.62453I −6.24106 + 4.53514I
u = 0.254593 − 0.472326I
a = 1.18965 − 1.73170I
b = −0.131607 + 0.743334I
−5.04166 + 2.62453I −6.24106 − 4.53514I
u = 1.29025 + 0.74378I
a = −0.974417 − 0.227827I
b = 1.62364 + 1.07684I
−7.51825 + 11.52590I 0
u = 1.29025 − 0.74378I
a = −0.974417 + 0.227827I
b = 1.62364 − 1.07684I
−7.51825 − 11.52590I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.34130 + 1.50681I
a = 0.418952 + 0.350787I
b = 0.551077 − 0.072182I
−10.54830 − 4.13683I 0
u = 0.34130 − 1.50681I
a = 0.418952 − 0.350787I
b = 0.551077 + 0.072182I
−10.54830 + 4.13683I 0
u = −1.51516 + 0.44607I
a = −0.120687 − 0.395757I
b = 0.340696 + 0.691225I
−6.24520 + 0.56086I 0
u = −1.51516 − 0.44607I
a = −0.120687 + 0.395757I
b = 0.340696 − 0.691225I
−6.24520 − 0.56086I 0
u = 0.411501
a = −0.200853
b = −1.42998
−2.38672 −9.62140
u = −0.270452 + 0.276054I
a = −0.72038 − 1.80958I
b = −1.46735 + 0.22463I
−9.67797 + 0.04826I −9.15222 + 0.88435I
u = −0.270452 − 0.276054I
a = −0.72038 + 1.80958I
b = −1.46735 − 0.22463I
−9.67797 − 0.04826I −9.15222 − 0.88435I
u = −1.34711 + 0.90872I
a = −0.634846 + 0.018768I
b = 1.19483 − 0.78052I
−5.98449 − 4.85348I 0
u = −1.34711 − 0.90872I
a = −0.634846 − 0.018768I
b = 1.19483 + 0.78052I
−5.98449 + 4.85348I 0
u = 0.030793 + 0.350452I
a = 1.22740 − 0.81407I
b = −0.115966 + 0.287445I
0.013893 + 0.880561I 0.34073 − 7.72057I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.030793 − 0.350452I
a = 1.22740 + 0.81407I
b = −0.115966 − 0.287445I
0.013893 − 0.880561I 0.34073 + 7.72057I
u = 0.0693703
a = −5.36682
b = −1.15626
−2.40955 −6.14340
u = 1.96261 + 0.71543I
a = −0.106540 − 0.181324I
b = 0.303451 + 0.885409I
−12.62750 − 2.49656I 0
u = 1.96261 − 0.71543I
a = −0.106540 + 0.181324I
b = 0.303451 − 0.885409I
−12.62750 + 2.49656I 0
13
II. I
u
2
= h309u
20
− 434u
19
+ · · · + 151b + 4415, −1708u
20
+ 524u
19
+ · · · +
453a − 8666, u
21
+ u
20
+ · · · − u + 3i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
3.77042u
20
− 1.15673u
19
+ ··· − 30.4812u + 19.1302
−2.04636u
20
+ 2.87417u
19
+ ··· + 28.0331u − 29.2384
a
7
=
1
−u
2
a
12
=
−0.697572u
20
− 3.98234u
19
+ ··· + 16.0574u + 11.3532
−2.78808u
20
+ 0.947020u
19
+ ··· + 7.24503u − 18.6623
a
8
=
5.23400u
20
+ 3.75717u
19
+ ··· − 3.54084u − 6.04857
−9.61589u
20
− 5.94702u
19
+ ··· + 43.8411u − 9.35099
a
2
=
3.32009u
20
− 0.0905077u
19
+ ··· − 18.6865u + 4.67329
−1.97351u
20
+ 2.83444u
19
+ ··· + 25.1656u − 24.6887
a
5
=
−4.79029u
20
− 1.35320u
19
+ ··· + 20.2561u − 0.203091
3.06623u
20
+ 0.635762u
19
+ ··· − 16.8079u + 6.31126
a
1
=
−0.0794702u
20
+ 2u
19
+ ··· − 10.2781u + 8.73510
3.06623u
20
− 4.36424u
19
+ ··· − 22.8079u + 25.3113
a
10
=
−u
u
a
4
=
4.55188u
20
− 1.53422u
19
+ ··· − 35.6600u + 19.1501
−2.82781u
20
+ 3.25166u
19
+ ··· + 33.2119u − 29.2583
a
9
=
8.29360u
20
+ 6.87638u
19
+ ··· − 48.9647u + 13.2296
−0.397351u
20
− 0.953642u
19
+ ··· + 14.6689u + 4.03974
(ii) Obstruction class = 1
(iii) Cusp Shapes =
2196
151
u
20
− u
19
+ ··· −
21155
151
u +
13662
151
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
21
+ 3u
20
+ ··· − 3u − 1
c
2
u
21
− u
20
+ ··· + 3u
2
+ 1
c
3
, c
4
u
21
+ 12u
19
+ ··· − u + 1
c
5
u
21
− 3u
20
+ ··· − 3u + 1
c
6
u
21
+ u
20
+ ··· − u + 3
c
7
, c
8
u
21
− 14u
19
+ ··· − u + 1
c
9
u
21
+ 12u
19
+ ··· − u − 1
c
10
u
21
− u
20
+ ··· − u − 3
c
11
u
21
+ 2u
19
+ ··· − 4u − 1
c
12
u
21
− 14u
19
+ ··· − u − 1
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
21
− 21y
20
+ ··· + 11y −1
c
2
y
21
− 5y
20
+ ··· − 6y −1
c
3
, c
4
, c
9
y
21
+ 24y
20
+ ··· − 9y −1
c
6
, c
10
y
21
− 17y
20
+ ··· + 121y −9
c
7
, c
8
, c
12
y
21
− 28y
20
+ ··· + 5y −1
c
11
y
21
+ 4y
20
+ ··· + 6y −1
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.382628 + 0.960881I
a = −0.783937 + 0.776879I
b = −0.342890 − 0.330936I
−7.03803 + 1.17985I −10.53416 − 1.53522I
u = −0.382628 − 0.960881I
a = −0.783937 − 0.776879I
b = −0.342890 + 0.330936I
−7.03803 − 1.17985I −10.53416 + 1.53522I
u = 0.982940 + 0.353291I
a = −1.012910 − 0.905800I
b = 1.132380 + 0.090306I
−3.28251 + 4.29159I −3.63277 − 6.11599I
u = 0.982940 − 0.353291I
a = −1.012910 + 0.905800I
b = 1.132380 − 0.090306I
−3.28251 − 4.29159I −3.63277 + 6.11599I
u = 0.708556 + 0.509046I
a = 0.135333 + 0.600310I
b = −0.535697 − 0.942644I
−4.06743 − 0.95196I −8.79489 + 1.18736I
u = 0.708556 − 0.509046I
a = 0.135333 − 0.600310I
b = −0.535697 + 0.942644I
−4.06743 + 0.95196I −8.79489 − 1.18736I
u = −1.091610 + 0.413227I
a = −0.493026 + 0.465252I
b = 0.640827 + 0.099354I
0.79785 − 2.50319I 1.96461 + 1.44745I
u = −1.091610 − 0.413227I
a = −0.493026 − 0.465252I
b = 0.640827 − 0.099354I
0.79785 + 2.50319I 1.96461 − 1.44745I
u = 0.806800
a = 1.75194
b = −2.80464
−8.65759 0.238680
u = −0.772407 + 0.123670I
a = −1.33115 − 2.13554I
b = 1.95627 + 0.09675I
−14.9717 − 4.2446I −5.10156 + 0.43387I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.772407 − 0.123670I
a = −1.33115 + 2.13554I
b = 1.95627 − 0.09675I
−14.9717 + 4.2446I −5.10156 − 0.43387I
u = −1.117340 + 0.561366I
a = 1.280040 − 0.423786I
b = −1.84009 + 1.17636I
−4.80473 − 6.53656I −6.84617 + 5.55680I
u = −1.117340 − 0.561366I
a = 1.280040 + 0.423786I
b = −1.84009 − 1.17636I
−4.80473 + 6.53656I −6.84617 − 5.55680I
u = 0.659193 + 0.335624I
a = −0.38753 + 1.68500I
b = 1.45988 + 0.17681I
−8.29821 + 2.26290I −6.15426 − 0.05048I
u = 0.659193 − 0.335624I
a = −0.38753 − 1.68500I
b = 1.45988 − 0.17681I
−8.29821 − 2.26290I −6.15426 + 0.05048I
u = −0.667437
a = 1.11576
b = −1.90707
−1.90443 10.3540
u = 1.30830 + 0.61182I
a = 0.687983 + 0.277223I
b = −1.18054 − 1.00060I
−1.78016 + 4.71282I −3.94550 − 7.91328I
u = 1.30830 − 0.61182I
a = 0.687983 − 0.277223I
b = −1.18054 + 1.00060I
−1.78016 − 4.71282I −3.94550 + 7.91328I
u = 1.48798
a = 0.230450
b = 0.129677
−6.38748 −10.5940
u = −1.60867 + 0.49513I
a = −0.310534 + 0.058407I
b = 0.500870 − 0.950951I
−12.23280 + 2.44430I −1.45463 + 0.34882I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.60867 − 0.49513I
a = −0.310534 − 0.058407I
b = 0.500870 + 0.950951I
−12.23280 − 2.44430I −1.45463 − 0.34882I
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
21
+ 3u
20
+ ··· − 3u − 1)(u
84
− 2u
83
+ ··· + 19519u + 2263)
c
2
(u
21
− u
20
+ ··· + 3u
2
+ 1)(u
84
− 2u
83
+ ··· + 160u + 47)
c
3
, c
4
(u
21
+ 12u
19
+ ··· − u + 1)(u
84
+ u
83
+ ··· − 657u − 23)
c
5
(u
21
− 3u
20
+ ··· − 3u + 1)(u
84
− 2u
83
+ ··· + 19519u + 2263)
c
6
(u
21
+ u
20
+ ··· − u + 3)(u
84
− 25u
82
+ ··· + 13u − 1)
c
7
, c
8
(u
21
− 14u
19
+ ··· − u + 1)(u
84
− 3u
83
+ ··· − 1131u − 419)
c
9
(u
21
+ 12u
19
+ ··· − u − 1)(u
84
+ u
83
+ ··· − 657u − 23)
c
10
(u
21
− u
20
+ ··· − u − 3)(u
84
− 25u
82
+ ··· + 13u − 1)
c
11
(u
21
+ 2u
19
+ ··· − 4u − 1)(u
84
− 7u
83
+ ··· − 210u − 17)
c
12
(u
21
− 14u
19
+ ··· − u − 1)(u
84
− 3u
83
+ ··· − 1131u − 419)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
21
− 21y
20
+ ··· + 11y −1)
· (y
84
− 82y
83
+ ··· − 175479279y + 5121169)
c
2
(y
21
− 5y
20
+ ··· − 6y −1)(y
84
− 14y
83
+ ··· − 96570y + 2209)
c
3
, c
4
, c
9
(y
21
+ 24y
20
+ ··· − 9y −1)(y
84
+ 95y
83
+ ··· − 296271y + 529)
c
6
, c
10
(y
21
− 17y
20
+ ··· + 121y −9)(y
84
− 50y
83
+ ··· − 225y + 1)
c
7
, c
8
, c
12
(y
21
− 28y
20
+ ··· + 5y −1)
· (y
84
− 101y
83
+ ··· − 6461353y + 175561)
c
11
(y
21
+ 4y
20
+ ··· + 6y −1)(y
84
+ 15y
83
+ ··· − 33050y + 289)
21
