12n
0465
(K12n
0465
)
A knot diagram
1
Linearized knot diagam
3 6 9 8 11 2 12 1 12 8 6 4
Solving Sequence
3,9 4,6
2 1 8 12 10 7 11 5
c
3
c
2
c
1
c
8
c
12
c
9
c
7
c
11
c
5
c
4
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h6.76118 × 10
193
u
63
+ 5.01371 × 10
193
u
62
+ ··· + 1.25354 × 10
194
b + 4.44874 × 10
194
,
2.86519 × 10
194
u
63
+ 6.21880 × 10
194
u
62
+ ··· + 7.52124 × 10
194
a + 9.81839 × 10
195
, u
64
+ u
63
+ ··· + 19u + 3i
I
u
2
= h−112393648468u
22
− 311362711897u
21
+ ··· + 13835100361679b − 17479985966667,
279872528016337u
22
+ 237504248059593u
21
+ ··· + 525733813743802a + 2170261969973827,
u
23
− u
21
+ ··· + 6u + 1i
* 2 irreducible components of dim
C
= 0, with total 87 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
= h6.76 × 10
193
u
63
+ 5.01 × 10
193
u
62
+ · · · + 1.25 × 10
194
b + 4.45 ×
10
194
, 2.87 × 10
194
u
63
+ 6.22 × 10
194
u
62
+ · · · + 7.52 × 10
194
a + 9.82 ×
10
195
, u
64
+ u
63
+ · · · + 19u + 3i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
6
=
−0.380947u
63
− 0.826832u
62
+ ··· − 59.2801u − 13.0542
−0.539367u
63
− 0.399965u
62
+ ··· − 23.3756u − 3.54894
a
2
=
0.864918u
63
+ 0.925284u
62
+ ··· + 43.0012u + 5.72243
0.869510u
63
+ 0.384944u
62
+ ··· + 17.0021u − 1.04303
a
1
=
1.73443u
63
+ 1.31023u
62
+ ··· + 60.0033u + 4.67940
0.869510u
63
+ 0.384944u
62
+ ··· + 17.0021u − 1.04303
a
8
=
−0.367182u
63
− 0.631069u
62
+ ··· − 51.2318u − 11.2742
0.329774u
63
+ 0.0548480u
62
+ ··· − 2.95329u − 2.44334
a
12
=
0.920036u
63
+ 0.918957u
62
+ ··· + 40.1447u + 4.44983
0.991980u
63
+ 0.500896u
62
+ ··· + 22.5982u + 0.226335
a
10
=
−0.336655u
63
− 0.477158u
62
+ ··· − 36.0738u − 7.32788
−0.606568u
63
− 0.404583u
62
+ ··· − 19.9997u − 2.71614
a
7
=
−0.390211u
63
− 0.905866u
62
+ ··· − 53.3726u − 12.0097
−0.969683u
63
− 0.116368u
62
+ ··· − 0.389177u + 6.40660
a
11
=
0.741182u
63
+ 0.321617u
62
+ ··· + 10.1253u − 2.13735
0.0835106u
63
+ 0.0670452u
62
+ ··· + 1.78701u − 0.325318
a
5
=
−1.24155u
63
− 1.19696u
62
+ ··· − 65.0895u − 11.0387
−0.376759u
63
− 0.314282u
62
+ ··· − 18.4692u − 2.96853
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6.43385u
63
− 6.54582u
62
+ ··· − 289.191u − 67.1645
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
64
+ 32u
63
+ ··· + 18u + 1
c
2
, c
6
u
64
+ 16u
62
+ ··· − 2u + 1
c
3
u
64
+ u
63
+ ··· + 19u + 3
c
4
u
64
+ 3u
63
+ ··· − 4170722u + 640748
c
5
, c
11
u
64
− 43u
62
+ ··· − 783u + 59
c
7
u
64
− u
63
+ ··· + 119493u + 223897
c
8
u
64
− 5u
63
+ ··· + 813u + 95
c
9
u
64
− 13u
63
+ ··· − 62574u + 5609
c
10
u
64
+ 14u
63
+ ··· − 360448u + 39592
c
12
u
64
+ 3u
63
+ ··· + 138u + 49
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
64
− 8y
63
+ ··· + 18y + 1
c
2
, c
6
y
64
+ 32y
63
+ ··· + 18y + 1
c
3
y
64
+ y
63
+ ··· + 167y + 9
c
4
y
64
− 39y
63
+ ··· − 7589236264780y + 410557999504
c
5
, c
11
y
64
− 86y
63
+ ··· − 103211y + 3481
c
7
y
64
− 99y
63
+ ··· − 1572065687631y + 50129866609
c
8
y
64
− y
63
+ ··· + 166101y + 9025
c
9
y
64
− 39y
63
+ ··· − 766399734y + 31460881
c
10
y
64
− 116y
63
+ ··· + 12169918304y + 1567526464
c
12
y
64
+ 9y
63
+ ··· + 87090y + 2401
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.768439 + 0.710097I
a = 1.306620 + 0.123877I
b = −0.72129 − 1.34035I
−10.46510 + 7.62597I 0
u = 0.768439 − 0.710097I
a = 1.306620 − 0.123877I
b = −0.72129 + 1.34035I
−10.46510 − 7.62597I 0
u = −0.085218 + 1.067950I
a = −0.423774 − 0.836346I
b = −0.255634 − 0.976959I
−4.35206 + 0.82760I 0
u = −0.085218 − 1.067950I
a = −0.423774 + 0.836346I
b = −0.255634 + 0.976959I
−4.35206 − 0.82760I 0
u = 0.266521 + 0.888631I
a = 0.693375 − 0.164357I
b = −0.451141 + 1.243390I
−3.60138 + 1.26061I −9.53908 − 0.36965I
u = 0.266521 − 0.888631I
a = 0.693375 + 0.164357I
b = −0.451141 − 1.243390I
−3.60138 − 1.26061I −9.53908 + 0.36965I
u = 0.455110 + 0.994145I
a = 0.733351 + 0.024556I
b = 0.492807 − 1.144750I
−11.57250 − 2.78285I 0
u = 0.455110 − 0.994145I
a = 0.733351 − 0.024556I
b = 0.492807 + 1.144750I
−11.57250 + 2.78285I 0
u = 0.835939 + 0.288434I
a = −0.858019 − 0.218506I
b = 0.546312 + 0.216534I
1.46270 + 0.81103I 3.71659 + 0.11699I
u = 0.835939 − 0.288434I
a = −0.858019 + 0.218506I
b = 0.546312 − 0.216534I
1.46270 − 0.81103I 3.71659 − 0.11699I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.971832 + 0.575905I
a = 0.795059 − 0.858262I
b = −0.071970 + 0.666140I
−0.71782 − 4.52201I 0
u = −0.971832 − 0.575905I
a = 0.795059 + 0.858262I
b = −0.071970 − 0.666140I
−0.71782 + 4.52201I 0
u = 0.618813 + 0.970738I
a = −0.607323 + 0.738340I
b = 0.341775 + 1.178830I
−3.60210 + 6.30080I 0
u = 0.618813 − 0.970738I
a = −0.607323 − 0.738340I
b = 0.341775 − 1.178830I
−3.60210 − 6.30080I 0
u = 0.952500 + 0.649719I
a = 0.456188 − 0.728196I
b = −0.672285 + 0.580916I
2.58365 + 2.09320I 0
u = 0.952500 − 0.649719I
a = 0.456188 + 0.728196I
b = −0.672285 − 0.580916I
2.58365 − 2.09320I 0
u = 0.021851 + 0.821787I
a = 0.47182 − 2.13552I
b = 0.489476 − 0.207876I
−8.94146 − 1.47584I −7.02830 + 5.13134I
u = 0.021851 − 0.821787I
a = 0.47182 + 2.13552I
b = 0.489476 + 0.207876I
−8.94146 + 1.47584I −7.02830 − 5.13134I
u = −0.468002 + 1.129190I
a = −0.136369 − 0.174368I
b = 0.10048 + 1.51887I
−16.4681 − 4.7254I 0
u = −0.468002 − 1.129190I
a = −0.136369 + 0.174368I
b = 0.10048 − 1.51887I
−16.4681 + 4.7254I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.830809 + 0.908495I
a = 1.53629 + 0.69226I
b = −0.627832 + 1.024980I
1.28045 − 7.16483I 0
u = −0.830809 − 0.908495I
a = 1.53629 − 0.69226I
b = −0.627832 − 1.024980I
1.28045 + 7.16483I 0
u = 0.102197 + 0.756108I
a = −0.999058 + 0.316929I
b = 0.650916 + 0.954374I
0.31001 + 2.61678I 0.776084 − 0.171136I
u = 0.102197 − 0.756108I
a = −0.999058 − 0.316929I
b = 0.650916 − 0.954374I
0.31001 − 2.61678I 0.776084 + 0.171136I
u = −1.006830 + 0.792686I
a = 0.941730 + 0.113880I
b = −0.718433 − 0.167055I
−0.05240 − 5.34782I 0
u = −1.006830 − 0.792686I
a = 0.941730 − 0.113880I
b = −0.718433 + 0.167055I
−0.05240 + 5.34782I 0
u = −0.347978 + 0.595874I
a = 2.33082 + 0.15889I
b = −0.573908 + 0.916885I
−2.27384 − 4.56530I −7.78284 + 7.48206I
u = −0.347978 − 0.595874I
a = 2.33082 − 0.15889I
b = −0.573908 − 0.916885I
−2.27384 + 4.56530I −7.78284 − 7.48206I
u = 0.983563 + 0.949818I
a = 1.52104 − 0.72824I
b = −0.623974 − 0.099517I
−9.24473 − 1.84302I 0
u = 0.983563 − 0.949818I
a = 1.52104 + 0.72824I
b = −0.623974 + 0.099517I
−9.24473 + 1.84302I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.498586 + 0.342899I
a = −3.69984 − 2.03368I
b = 0.449391 + 1.143210I
−11.89270 + 5.18300I −9.77291 − 9.94345I
u = 0.498586 − 0.342899I
a = −3.69984 + 2.03368I
b = 0.449391 − 1.143210I
−11.89270 − 5.18300I −9.77291 + 9.94345I
u = −0.461857 + 0.379511I
a = −1.44331 − 0.07225I
b = 0.486831 − 1.275810I
−1.85538 − 2.97884I −6.59140 + 7.67980I
u = −0.461857 − 0.379511I
a = −1.44331 + 0.07225I
b = 0.486831 + 1.275810I
−1.85538 + 2.97884I −6.59140 − 7.67980I
u = −1.12543 + 0.86119I
a = −1.003630 − 0.572524I
b = 0.721686 + 0.659860I
0.148717 − 0.150459I 0
u = −1.12543 − 0.86119I
a = −1.003630 + 0.572524I
b = 0.721686 − 0.659860I
0.148717 + 0.150459I 0
u = 0.98638 + 1.04285I
a = −1.092850 + 0.417343I
b = 1.118790 − 0.379740I
−9.44514 + 9.24996I 0
u = 0.98638 − 1.04285I
a = −1.092850 − 0.417343I
b = 1.118790 + 0.379740I
−9.44514 − 9.24996I 0
u = 1.44274 + 0.02938I
a = −0.615836 + 0.495319I
b = 0.071795 − 0.805712I
−0.144341 + 1.401570I 0
u = 1.44274 − 0.02938I
a = −0.615836 − 0.495319I
b = 0.071795 + 0.805712I
−0.144341 − 1.401570I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.518307 + 0.185402I
a = −0.354206 + 0.642889I
b = 0.865746 − 0.532757I
1.10608 − 3.36124I −0.42621 + 9.54804I
u = −0.518307 − 0.185402I
a = −0.354206 − 0.642889I
b = 0.865746 + 0.532757I
1.10608 + 3.36124I −0.42621 − 9.54804I
u = 0.344648 + 0.412119I
a = 3.43307 − 3.90269I
b = 0.125752 + 0.298631I
−9.08308 − 1.54040I −3.52047 + 8.43213I
u = 0.344648 − 0.412119I
a = 3.43307 + 3.90269I
b = 0.125752 − 0.298631I
−9.08308 + 1.54040I −3.52047 − 8.43213I
u = −1.14020 + 0.92833I
a = −0.991241 − 0.285891I
b = 0.309850 − 1.050050I
−1.66777 − 3.20908I 0
u = −1.14020 − 0.92833I
a = −0.991241 + 0.285891I
b = 0.309850 + 1.050050I
−1.66777 + 3.20908I 0
u = −0.227253 + 0.454347I
a = −0.150236 − 1.032800I
b = −0.350045 + 0.327230I
−1.26856 + 0.70605I −5.19223 − 1.71159I
u = −0.227253 − 0.454347I
a = −0.150236 + 1.032800I
b = −0.350045 − 0.327230I
−1.26856 − 0.70605I −5.19223 + 1.71159I
u = −0.276652 + 0.303262I
a = 1.48929 + 0.35722I
b = −1.58452 − 0.40190I
−7.09270 − 0.18320I −8.5918 + 26.1881I
u = −0.276652 − 0.303262I
a = 1.48929 − 0.35722I
b = −1.58452 + 0.40190I
−7.09270 + 0.18320I −8.5918 − 26.1881I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.25213 + 1.08328I
a = −1.59960 + 0.05491I
b = 0.672809 + 1.012270I
−0.91338 + 5.51890I 0
u = 1.25213 − 1.08328I
a = −1.59960 − 0.05491I
b = 0.672809 − 1.012270I
−0.91338 − 5.51890I 0
u = −0.156228 + 0.290874I
a = 0.21881 − 3.26254I
b = −0.213772 − 0.956901I
−1.62143 − 1.10348I −5.00798 + 3.54749I
u = −0.156228 − 0.290874I
a = 0.21881 + 3.26254I
b = −0.213772 + 0.956901I
−1.62143 + 1.10348I −5.00798 − 3.54749I
u = −1.16098 + 1.20032I
a = −1.412120 − 0.001483I
b = 0.69640 − 1.25090I
−12.1872 − 15.7252I 0
u = −1.16098 − 1.20032I
a = −1.412120 + 0.001483I
b = 0.69640 + 1.25090I
−12.1872 + 15.7252I 0
u = 1.21102 + 1.16930I
a = 1.160920 − 0.049651I
b = −0.512568 − 1.188460I
−3.03377 + 10.06590I 0
u = 1.21102 − 1.16930I
a = 1.160920 + 0.049651I
b = −0.512568 + 1.188460I
−3.03377 − 10.06590I 0
u = 0.61897 + 1.71494I
a = −0.305411 − 0.225319I
b = 0.180451 − 1.014300I
−4.44894 − 0.47351I 0
u = 0.61897 − 1.71494I
a = −0.305411 + 0.225319I
b = 0.180451 + 1.014300I
−4.44894 + 0.47351I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.74962 + 0.59173I
a = 1.25972 − 0.65598I
b = −0.450065 + 1.179190I
−12.53600 − 2.18533I 0
u = −1.74962 − 0.59173I
a = 1.25972 + 0.65598I
b = −0.450065 − 1.179190I
−12.53600 + 2.18533I 0
u = −1.33222 + 1.51909I
a = 0.511399 + 0.352829I
b = −0.493832 − 1.176170I
−12.21100 + 6.27838I 0
u = −1.33222 − 1.51909I
a = 0.511399 − 0.352829I
b = −0.493832 + 1.176170I
−12.21100 − 6.27838I 0
11
II.
I
u
2
= h−1.12×10
11
u
22
−3.11×10
11
u
21
+· · ·+1.38×10
13
b−1.75×10
13
, 2.80×
10
14
u
22
+2.38×10
14
u
21
+· · ·+5.26×10
14
a+2.17×10
15
, u
23
−u
21
+· · ·+6u+1i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
6
=
−0.532346u
22
− 0.451758u
21
+ ··· − 3.94607u − 4.12806
0.00812380u
22
+ 0.0225053u
21
+ ··· − 1.76899u + 1.26345
a
2
=
−0.576639u
22
− 0.0415103u
21
+ ··· + 0.865302u − 4.15266
0.523266u
22
− 0.0991113u
21
+ ··· + 0.406061u + 2.45807
a
1
=
−0.0533735u
22
− 0.140622u
21
+ ··· + 1.27136u − 1.69459
0.523266u
22
− 0.0991113u
21
+ ··· + 0.406061u + 2.45807
a
8
=
−0.240226u
22
− 0.000150414u
21
+ ··· − 2.50811u + 0.149221
−0.126360u
22
+ 0.105650u
21
+ ··· − 0.0810748u − 0.916657
a
12
=
−0.578843u
22
− 0.170099u
21
+ ··· − 0.0318002u − 4.29328
0.229238u
22
− 0.0424956u
21
+ ··· − 0.296275u + 2.42859
a
10
=
−0.201365u
22
+ 0.284014u
21
+ ··· − 1.93952u + 2.76031
−0.0989915u
22
+ 0.379233u
21
+ ··· + 2.77408u − 1.41057
a
7
=
−1.57884u
22
− 0.170099u
21
+ ··· − 1.03180u − 10.2933
0.718281u
22
− 0.215517u
21
+ ··· − 2.43939u + 4.91339
a
11
=
0.631324u
22
+ 0.428112u
21
+ ··· + 4.76746u + 2.95129
−0.107101u
22
+ 0.00114053u
21
+ ··· + 1.94761u − 0.0866821
a
5
=
0.284014u
22
+ 0.0456181u
21
+ ··· + 3.96851u + 1.20137
0.206212u
22
+ 0.164773u
21
+ ··· − 1.26608u + 0.609948
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
355563029923215
262866906871901
u
22
−
201540020728255
262866906871901
u
21
+ ··· +
1754556307346636
262866906871901
u −
6210727541948044
262866906871901
12
(iv) u-Polynomials at the component
13
Crossings u-Polynomials at each crossing
c
1
u
23
− 9u
22
+ ··· − 11u + 1
c
2
u
23
− u
22
+ ··· + u − 1
c
3
u
23
− u
21
+ ··· + 6u + 1
c
4
u
23
− 3u
21
+ ··· + 6u + 4
c
5
u
23
+ u
22
+ ··· + 4u + 1
c
6
u
23
+ u
22
+ ··· + u + 1
c
7
u
23
+ 2u
22
+ ··· − 6u + 1
c
8
u
23
− 4u
21
+ ··· + 6u + 1
c
9
u
23
− 6u
22
+ ··· + 3u + 1
c
10
u
23
+ 15u
22
+ ··· + 4u + 8
c
11
u
23
− u
22
+ ··· + 4u − 1
c
12
u
23
+ 2u
22
+ ··· − 3u + 1
14
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
23
+ y
22
+ ··· − 15y −1
c
2
, c
6
y
23
+ 9y
22
+ ··· − 11y −1
c
3
y
23
− 2y
22
+ ··· + 36y −1
c
4
y
23
− 6y
22
+ ··· − 308y −16
c
5
, c
11
y
23
− 25y
22
+ ··· + 14y −1
c
7
y
23
− 18y
22
+ ··· − 14y −1
c
8
y
23
− 8y
22
+ ··· + 22y −1
c
9
y
23
− 18y
22
+ ··· + 17y −1
c
10
y
23
− 23y
22
+ ··· − 112y −64
c
12
y
23
− 2y
22
+ ··· − 7y −1
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.893750 + 0.421240I
a = −0.700987 + 0.971805I
b = 0.424483 − 0.573628I
−0.19060 − 5.12115I 0.52825 + 10.04685I
u = −0.893750 − 0.421240I
a = −0.700987 − 0.971805I
b = 0.424483 + 0.573628I
−0.19060 + 5.12115I 0.52825 − 10.04685I
u = 1.009380 + 0.144862I
a = 0.501893 − 0.040694I
b = −0.582203 + 0.603687I
1.18763 − 2.35933I −0.54441 + 2.81335I
u = 1.009380 − 0.144862I
a = 0.501893 + 0.040694I
b = −0.582203 − 0.603687I
1.18763 + 2.35933I −0.54441 − 2.81335I
u = 0.824076 + 0.431980I
a = −0.31656 + 1.78055I
b = 0.434403 − 1.159370I
−11.75970 − 4.28995I −7.55896 + 1.61429I
u = 0.824076 − 0.431980I
a = −0.31656 − 1.78055I
b = 0.434403 + 1.159370I
−11.75970 + 4.28995I −7.55896 − 1.61429I
u = −0.432840 + 0.804291I
a = 1.264390 − 0.010317I
b = −0.733090 + 0.984673I
−0.29640 − 3.14054I −6.31334 + 6.17687I
u = −0.432840 − 0.804291I
a = 1.264390 + 0.010317I
b = −0.733090 − 0.984673I
−0.29640 + 3.14054I −6.31334 − 6.17687I
u = −0.448748 + 0.721348I
a = −1.93684 − 3.19433I
b = 0.237145 − 0.577461I
−9.30020 + 1.18087I −13.7807 + 7.4362I
u = −0.448748 − 0.721348I
a = −1.93684 + 3.19433I
b = 0.237145 + 0.577461I
−9.30020 − 1.18087I −13.7807 − 7.4362I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.137895 + 0.681215I
a = −0.647316 − 0.323996I
b = 0.098638 − 1.232580I
−2.98206 + 2.14068I −7.34511 − 5.88395I
u = 0.137895 − 0.681215I
a = −0.647316 + 0.323996I
b = 0.098638 + 1.232580I
−2.98206 − 2.14068I −7.34511 + 5.88395I
u = −1.108090 + 0.692297I
a = 1.77762 + 0.17325I
b = −0.617221 + 1.022100I
0.25873 − 5.53788I −1.35642 + 5.56127I
u = −1.108090 − 0.692297I
a = 1.77762 − 0.17325I
b = −0.617221 − 1.022100I
0.25873 + 5.53788I −1.35642 − 5.56127I
u = 1.252020 + 0.409058I
a = 1.013030 − 0.856909I
b = −0.590775 + 0.675547I
1.39201 + 0.69958I 0.150882 − 0.471117I
u = 1.252020 − 0.409058I
a = 1.013030 + 0.856909I
b = −0.590775 − 0.675547I
1.39201 − 0.69958I 0.150882 + 0.471117I
u = −0.114607 + 1.393680I
a = 0.013743 − 0.511692I
b = −0.239456 − 0.903215I
−3.69072 + 1.05790I −1.89355 − 6.61055I
u = −0.114607 − 1.393680I
a = 0.013743 + 0.511692I
b = −0.239456 + 0.903215I
−3.69072 − 1.05790I −1.89355 + 6.61055I
u = −1.062860 + 0.913991I
a = −0.401149 − 0.557990I
b = 0.639569 + 0.734356I
0.88359 − 3.30259I −3.25538 + 1.96589I
u = −1.062860 − 0.913991I
a = −0.401149 + 0.557990I
b = 0.639569 − 0.734356I
0.88359 + 3.30259I −3.25538 − 1.96589I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.91918 + 1.12261I
a = −1.36761 + 0.59069I
b = 0.640606 + 0.971353I
0.12927 + 8.32658I −4.10216 − 9.00086I
u = 0.91918 − 1.12261I
a = −1.36761 − 0.59069I
b = 0.640606 − 0.971353I
0.12927 − 8.32658I −4.10216 + 9.00086I
u = −0.163309
a = −3.40044
b = 1.57580
−7.19079 −25.0580
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
23
− 9u
22
+ ··· − 11u + 1)(u
64
+ 32u
63
+ ··· + 18u + 1)
c
2
(u
23
− u
22
+ ··· + u − 1)(u
64
+ 16u
62
+ ··· − 2u + 1)
c
3
(u
23
− u
21
+ ··· + 6u + 1)(u
64
+ u
63
+ ··· + 19u + 3)
c
4
(u
23
− 3u
21
+ ··· + 6u + 4)(u
64
+ 3u
63
+ ··· − 4170722u + 640748)
c
5
(u
23
+ u
22
+ ··· + 4u + 1)(u
64
− 43u
62
+ ··· − 783u + 59)
c
6
(u
23
+ u
22
+ ··· + u + 1)(u
64
+ 16u
62
+ ··· − 2u + 1)
c
7
(u
23
+ 2u
22
+ ··· − 6u + 1)(u
64
− u
63
+ ··· + 119493u + 223897)
c
8
(u
23
− 4u
21
+ ··· + 6u + 1)(u
64
− 5u
63
+ ··· + 813u + 95)
c
9
(u
23
− 6u
22
+ ··· + 3u + 1)(u
64
− 13u
63
+ ··· − 62574u + 5609)
c
10
(u
23
+ 15u
22
+ ··· + 4u + 8)(u
64
+ 14u
63
+ ··· − 360448u + 39592)
c
11
(u
23
− u
22
+ ··· + 4u − 1)(u
64
− 43u
62
+ ··· − 783u + 59)
c
12
(u
23
+ 2u
22
+ ··· − 3u + 1)(u
64
+ 3u
63
+ ··· + 138u + 49)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
23
+ y
22
+ ··· − 15y −1)(y
64
− 8y
63
+ ··· + 18y + 1)
c
2
, c
6
(y
23
+ 9y
22
+ ··· − 11y −1)(y
64
+ 32y
63
+ ··· + 18y + 1)
c
3
(y
23
− 2y
22
+ ··· + 36y −1)(y
64
+ y
63
+ ··· + 167y + 9)
c
4
(y
23
− 6y
22
+ ··· − 308y −16)
· (y
64
− 39y
63
+ ··· − 7589236264780y + 410557999504)
c
5
, c
11
(y
23
− 25y
22
+ ··· + 14y −1)(y
64
− 86y
63
+ ··· − 103211y + 3481)
c
7
(y
23
− 18y
22
+ ··· − 14y −1)
· (y
64
− 99y
63
+ ··· − 1572065687631y + 50129866609)
c
8
(y
23
− 8y
22
+ ··· + 22y −1)(y
64
− y
63
+ ··· + 166101y + 9025)
c
9
(y
23
− 18y
22
+ ··· + 17y −1)
· (y
64
− 39y
63
+ ··· − 766399734y + 31460881)
c
10
(y
23
− 23y
22
+ ··· − 112y −64)
· (y
64
− 116y
63
+ ··· + 12169918304y + 1567526464)
c
12
(y
23
− 2y
22
+ ··· − 7y −1)(y
64
+ 9y
63
+ ··· + 87090y + 2401)
21
