12a
0457
(K12a
0457
)
A knot diagram
1
Linearized knot diagam
3 6 10 12 9 2 4 11 7 1 5 8
Solving Sequence
2,6 3,10
4 7 8 1 11 9 5 12
c
2
c
3
c
6
c
7
c
1
c
10
c
9
c
5
c
12
c
4
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.58709 × 10
561
u
181
+ 9.87432 × 10
561
u
180
+ ··· + 5.35199 × 10
561
b − 9.54773 × 10
562
,
− 1.66259 × 10
562
u
181
− 2.79221 × 10
562
u
180
+ ··· + 5.88719 × 10
562
a + 3.00657 × 10
563
,
u
182
− u
181
+ ··· + 195u − 11i
I
u
2
= h−2.94627 × 10
21
u
46
+ 1.06794 × 10
22
u
45
+ ··· + 2.90616 × 10
21
b − 2.06732 × 10
22
,
− 4.24175 × 10
21
u
46
+ 1.09748 × 10
22
u
45
+ ··· + 2.90616 × 10
21
a − 1.94328 × 10
22
,
u
47
+ 13u
45
+ ··· + 3u − 1i
* 2 irreducible components of dim
C
= 0, with total 229 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
= h1.59 × 10
561
u
181
+ 9.87 × 10
561
u
180
+ · · · + 5.35 × 10
561
b − 9.55 ×
10
562
, −1.66 × 10
562
u
181
− 2.79 × 10
562
u
180
+ · · · + 5.89 × 10
562
a + 3.01 ×
10
563
, u
182
− u
181
+ · · · + 195u − 11i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
−u
2
a
10
=
0.282408u
181
+ 0.474286u
180
+ ··· − 7.81834u − 5.10697
−0.296542u
181
− 1.84498u
180
+ ··· − 292.837u + 17.8396
a
4
=
0.426730u
181
+ 2.54621u
180
+ ··· + 524.087u − 35.8491
−0.183215u
181
+ 2.67594u
180
+ ··· + 433.789u − 26.9732
a
7
=
u
u
a
8
=
0.0954184u
181
+ 0.737891u
180
+ ··· + 78.8011u − 1.90680
−0.580714u
181
− 0.712417u
180
+ ··· − 101.183u + 7.71908
a
1
=
u
2
+ 1
−u
4
a
11
=
3.53650u
181
− 3.37660u
180
+ ··· − 747.932u + 37.4265
3.15967u
181
− 5.38431u
180
+ ··· − 1000.45u + 57.9589
a
9
=
2.86232u
181
− 2.41148u
180
+ ··· − 566.602u + 26.7734
2.28337u
181
− 4.73075u
180
+ ··· − 851.621u + 49.7200
a
5
=
−0.133531u
181
− 1.04533u
180
+ ··· − 355.789u + 27.2831
1.09284u
181
− 1.93033u
180
+ ··· − 444.725u + 26.6777
a
12
=
0.727233u
181
− 1.06159u
180
+ ··· − 360.131u + 18.9256
0.934569u
181
− 1.03798u
180
+ ··· − 139.137u + 7.79370
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.66160u
181
− 0.329436u
180
+ ··· + 113.796u − 4.78638
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
182
+ 77u
181
+ ··· + 8263u + 121
c
2
, c
6
u
182
− u
181
+ ··· + 195u − 11
c
3
u
182
+ 2u
181
+ ··· − 5309082u − 451273
c
4
, c
11
u
182
+ 2u
181
+ ··· + 19u − 1
c
5
u
182
+ 2u
181
+ ··· − 38159038193725u − 9874199002121
c
7
u
182
− 3u
181
+ ··· − 16973493258u + 2170070627
c
8
u
182
− 13u
181
+ ··· − 32599410u + 3488929
c
9
u
182
− 8u
181
+ ··· + 120499307u − 33795031
c
10
u
182
− 16u
181
+ ··· + 87245097403u − 3309477077
c
12
u
182
+ u
181
+ ··· + 38826485u + 8693093
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
182
+ 69y
181
+ ··· + 304853435y + 14641
c
2
, c
6
y
182
+ 77y
181
+ ··· + 8263y + 121
c
3
y
182
+ 44y
181
+ ··· − 374808253700y + 203647320529
c
4
, c
11
y
182
+ 126y
181
+ ··· − 113y + 1
c
5
y
182
− 100y
181
+ ··· − 6.27 × 10
27
y + 9.75 × 10
25
c
7
y
182
− 83y
181
+ ··· + 7.07 × 10
20
y + 4.71 × 10
18
c
8
y
182
− 65y
181
+ ··· + 5327570686683198y + 12172625567041
c
9
y
182
− 60y
181
+ ··· − 84230223266656641y + 1142104120290961
c
10
y
182
+ 70y
181
+ ··· − 5.83 × 10
20
y + 1.10 × 10
19
c
12
y
182
− 57y
181
+ ··· − 3145101509628851y + 75569865906649
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.631933 + 0.776970I
a = −1.65261 − 1.75545I
b = −1.74171 + 0.24098I
6.97272 − 0.23557I 0
u = 0.631933 − 0.776970I
a = −1.65261 + 1.75545I
b = −1.74171 − 0.24098I
6.97272 + 0.23557I 0
u = −0.632760 + 0.770322I
a = −0.11056 + 2.39938I
b = −0.34857 + 1.45255I
7.91436 + 5.68837I 0
u = −0.632760 − 0.770322I
a = −0.11056 − 2.39938I
b = −0.34857 − 1.45255I
7.91436 − 5.68837I 0
u = −0.505651 + 0.867835I
a = 0.20529 − 2.28170I
b = 1.57861 − 2.01284I
2.46270 − 5.69294I 0
u = −0.505651 − 0.867835I
a = 0.20529 + 2.28170I
b = 1.57861 + 2.01284I
2.46270 + 5.69294I 0
u = 0.555676 + 0.856464I
a = −0.373690 + 0.189044I
b = −1.375140 − 0.038000I
0.73313 + 1.72700I 0
u = 0.555676 − 0.856464I
a = −0.373690 − 0.189044I
b = −1.375140 + 0.038000I
0.73313 − 1.72700I 0
u = 0.553470 + 0.860165I
a = −0.42398 − 1.46537I
b = −0.057580 − 0.315865I
0.72308 + 2.71161I 0
u = 0.553470 − 0.860165I
a = −0.42398 + 1.46537I
b = −0.057580 + 0.315865I
0.72308 − 2.71161I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.632870 + 0.807341I
a = 1.37911 − 1.32103I
b = 1.48733 + 0.40353I
3.51581 − 0.69080I 0
u = −0.632870 − 0.807341I
a = 1.37911 + 1.32103I
b = 1.48733 − 0.40353I
3.51581 + 0.69080I 0
u = 0.634227 + 0.807382I
a = −0.75123 + 1.66878I
b = 1.83427 + 1.96031I
7.79532 − 4.87002I 0
u = 0.634227 − 0.807382I
a = −0.75123 − 1.66878I
b = 1.83427 − 1.96031I
7.79532 + 4.87002I 0
u = 0.243407 + 1.001150I
a = 0.530592 − 1.034200I
b = 1.145160 − 0.367665I
−1.57699 − 0.96008I 0
u = 0.243407 − 1.001150I
a = 0.530592 + 1.034200I
b = 1.145160 + 0.367665I
−1.57699 + 0.96008I 0
u = −0.916874 + 0.471952I
a = −0.002829 + 1.150230I
b = −0.754882 + 0.535498I
9.47112 + 2.17209I 0
u = −0.916874 − 0.471952I
a = −0.002829 − 1.150230I
b = −0.754882 − 0.535498I
9.47112 − 2.17209I 0
u = 0.892126 + 0.527577I
a = 0.659159 + 1.114030I
b = 1.63494 + 0.05175I
9.85070 − 2.32266I 0
u = 0.892126 − 0.527577I
a = 0.659159 − 1.114030I
b = 1.63494 − 0.05175I
9.85070 + 2.32266I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.663555 + 0.797112I
a = 1.33810 − 0.99347I
b = 2.29960 − 0.27379I
7.55519 − 0.30516I 0
u = −0.663555 − 0.797112I
a = 1.33810 + 0.99347I
b = 2.29960 + 0.27379I
7.55519 + 0.30516I 0
u = 0.650144 + 0.815932I
a = 0.30077 + 2.29042I
b = 0.63200 + 1.61924I
3.47733 + 0.38218I 0
u = 0.650144 − 0.815932I
a = 0.30077 − 2.29042I
b = 0.63200 − 1.61924I
3.47733 − 0.38218I 0
u = −0.874669 + 0.580375I
a = 0.92398 − 1.08793I
b = 1.371120 + 0.193415I
4.85248 + 3.78665I 0
u = −0.874669 − 0.580375I
a = 0.92398 + 1.08793I
b = 1.371120 − 0.193415I
4.85248 − 3.78665I 0
u = −0.458613 + 0.830611I
a = 1.86473 − 0.59837I
b = 1.59506 + 0.41043I
2.58944 + 1.69215I 0
u = −0.458613 − 0.830611I
a = 1.86473 + 0.59837I
b = 1.59506 − 0.41043I
2.58944 − 1.69215I 0
u = 0.933388 + 0.497942I
a = −0.58218 − 1.36147I
b = −1.320980 + 0.133542I
8.58940 − 4.72156I 0
u = 0.933388 − 0.497942I
a = −0.58218 + 1.36147I
b = −1.320980 − 0.133542I
8.58940 + 4.72156I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.924489 + 0.526819I
a = −0.810217 + 1.092250I
b = −1.51468 − 0.11098I
5.51807 + 8.96111I 0
u = −0.924489 − 0.526819I
a = −0.810217 − 1.092250I
b = −1.51468 + 0.11098I
5.51807 − 8.96111I 0
u = −0.912357 + 0.549512I
a = −0.065292 − 1.069180I
b = 1.240240 − 0.453768I
8.94932 + 0.14223I 0
u = −0.912357 − 0.549512I
a = −0.065292 + 1.069180I
b = 1.240240 + 0.453768I
8.94932 − 0.14223I 0
u = −0.465535 + 0.809704I
a = 0.169775 + 0.018988I
b = −0.944350 + 1.000900I
2.10752 + 1.81777I 0
u = −0.465535 − 0.809704I
a = 0.169775 − 0.018988I
b = −0.944350 − 1.000900I
2.10752 − 1.81777I 0
u = −0.626727 + 0.872915I
a = 0.07240 − 1.54884I
b = 1.76358 − 1.45067I
3.31560 − 4.24542I 0
u = −0.626727 − 0.872915I
a = 0.07240 + 1.54884I
b = 1.76358 + 1.45067I
3.31560 + 4.24542I 0
u = 0.452245 + 0.805252I
a = 0.517112 + 1.097860I
b = 0.834423 + 0.856549I
−0.02246 + 1.79724I 0
u = 0.452245 − 0.805252I
a = 0.517112 − 1.097860I
b = 0.834423 − 0.856549I
−0.02246 − 1.79724I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.220942 + 1.055330I
a = 1.369150 + 0.012423I
b = 0.549632 − 1.178900I
1.95420 − 4.55320I 0
u = 0.220942 − 1.055330I
a = 1.369150 − 0.012423I
b = 0.549632 + 1.178900I
1.95420 + 4.55320I 0
u = 0.637383 + 0.870473I
a = 1.86831 + 0.16044I
b = 2.33244 − 0.08278I
3.31211 + 4.63591I 0
u = 0.637383 − 0.870473I
a = 1.86831 − 0.16044I
b = 2.33244 + 0.08278I
3.31211 − 4.63591I 0
u = 0.937825 + 0.534651I
a = 0.87212 + 1.15341I
b = 1.55379 − 0.24257I
10.2706 − 14.8755I 0
u = 0.937825 − 0.534651I
a = 0.87212 − 1.15341I
b = 1.55379 + 0.24257I
10.2706 + 14.8755I 0
u = −0.708071 + 0.815604I
a = −0.10069 + 1.94194I
b = −0.70412 + 1.32099I
8.20130 − 6.30272I 0
u = −0.708071 − 0.815604I
a = −0.10069 − 1.94194I
b = −0.70412 − 1.32099I
8.20130 + 6.30272I 0
u = 0.441114 + 0.807249I
a = −0.19134 − 2.42815I
b = −0.91796 − 1.43722I
−0.022971 + 0.996096I 0
u = 0.441114 − 0.807249I
a = −0.19134 + 2.42815I
b = −0.91796 + 1.43722I
−0.022971 − 0.996096I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.622855 + 0.886369I
a = 2.24095 + 1.13511I
b = 1.81291 − 1.50251I
7.55009 + 9.79273I 0
u = 0.622855 − 0.886369I
a = 2.24095 − 1.13511I
b = 1.81291 + 1.50251I
7.55009 − 9.79273I 0
u = −0.530823 + 0.745021I
a = 0.502174 + 0.555666I
b = −0.97541 + 1.32446I
1.95963 + 1.72495I 0
u = −0.530823 − 0.745021I
a = 0.502174 − 0.555666I
b = −0.97541 − 1.32446I
1.95963 − 1.72495I 0
u = −0.160219 + 0.897897I
a = −0.901106 − 0.170529I
b = 0.453433 + 0.217919I
1.35572 − 4.86438I 0
u = −0.160219 − 0.897897I
a = −0.901106 + 0.170529I
b = 0.453433 − 0.217919I
1.35572 + 4.86438I 0
u = −0.571472 + 0.927694I
a = −1.298200 + 0.399511I
b = −0.382575 − 0.835713I
1.36817 − 6.19695I 0
u = −0.571472 − 0.927694I
a = −1.298200 − 0.399511I
b = −0.382575 + 0.835713I
1.36817 + 6.19695I 0
u = 0.467156 + 0.986445I
a = −0.852742 − 0.656440I
b = −1.53925 − 0.07375I
−0.67167 + 2.67554I 0
u = 0.467156 − 0.986445I
a = −0.852742 + 0.656440I
b = −1.53925 + 0.07375I
−0.67167 − 2.67554I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.973048 + 0.519295I
a = 0.014391 + 0.866018I
b = 0.755408 + 0.484817I
5.32052 + 3.86352I 0
u = 0.973048 − 0.519295I
a = 0.014391 − 0.866018I
b = 0.755408 − 0.484817I
5.32052 − 3.86352I 0
u = 0.854993 + 0.697740I
a = −1.31960 − 0.90738I
b = −1.73895 + 0.52611I
8.01369 − 4.13820I 0
u = 0.854993 − 0.697740I
a = −1.31960 + 0.90738I
b = −1.73895 − 0.52611I
8.01369 + 4.13820I 0
u = 0.733957 + 0.824303I
a = 0.290309 − 1.384090I
b = −1.54739 − 1.37090I
7.38312 + 5.08653I 0
u = 0.733957 − 0.824303I
a = 0.290309 + 1.384090I
b = −1.54739 + 1.37090I
7.38312 − 5.08653I 0
u = −0.646203 + 0.895156I
a = 0.94098 − 2.16469I
b = 1.63609 − 0.98694I
7.25316 − 4.78011I 0
u = −0.646203 − 0.895156I
a = 0.94098 + 2.16469I
b = 1.63609 + 0.98694I
7.25316 + 4.78011I 0
u = 0.622702 + 0.911924I
a = −0.56426 − 1.60083I
b = −2.29930 − 1.39669I
6.55259 + 5.15491I 0
u = 0.622702 − 0.911924I
a = −0.56426 + 1.60083I
b = −2.29930 + 1.39669I
6.55259 − 5.15491I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.625395 + 0.915387I
a = −1.72882 − 0.21541I
b = −2.36328 − 0.43256I
7.46437 − 10.62170I 0
u = −0.625395 − 0.915387I
a = −1.72882 + 0.21541I
b = −2.36328 + 0.43256I
7.46437 + 10.62170I 0
u = 0.086041 + 1.105460I
a = 0.149188 − 0.169317I
b = −0.644765 + 0.259046I
−1.74919 + 2.67650I 0
u = 0.086041 − 1.105460I
a = 0.149188 + 0.169317I
b = −0.644765 − 0.259046I
−1.74919 − 2.67650I 0
u = 0.146549 + 1.101730I
a = −0.094814 + 0.750696I
b = −0.701831 + 0.844087I
−1.22941 + 1.28711I 0
u = 0.146549 − 1.101730I
a = −0.094814 − 0.750696I
b = −0.701831 − 0.844087I
−1.22941 − 1.28711I 0
u = 0.728249 + 0.850972I
a = −1.19782 − 1.01054I
b = −1.45992 + 0.72846I
7.30499 + 0.45145I 0
u = 0.728249 − 0.850972I
a = −1.19782 + 1.01054I
b = −1.45992 − 0.72846I
7.30499 − 0.45145I 0
u = −0.170408 + 1.111120I
a = −0.518963 + 0.268132I
b = 0.232205 − 0.164738I
−5.42453 − 0.61915I 0
u = −0.170408 − 1.111120I
a = −0.518963 − 0.268132I
b = 0.232205 + 0.164738I
−5.42453 + 0.61915I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.713965 + 0.869974I
a = −1.333890 + 0.188730I
b = −1.74912 − 0.20946I
8.04336 + 0.87793I 0
u = −0.713965 − 0.869974I
a = −1.333890 − 0.188730I
b = −1.74912 + 0.20946I
8.04336 − 0.87793I 0
u = −0.203912 + 0.850305I
a = 0.21411 + 1.85695I
b = −0.88888 + 1.25171I
−0.65134 + 1.63840I 0
u = −0.203912 − 0.850305I
a = 0.21411 − 1.85695I
b = −0.88888 − 1.25171I
−0.65134 − 1.63840I 0
u = −1.013160 + 0.496296I
a = 0.173474 + 0.797453I
b = −0.726329 + 0.525125I
9.87586 − 9.51235I 0
u = −1.013160 − 0.496296I
a = 0.173474 − 0.797453I
b = −0.726329 − 0.525125I
9.87586 + 9.51235I 0
u = −0.509438 + 1.010740I
a = −0.657047 + 0.822412I
b = −0.174623 + 0.531939I
1.34232 − 5.62268I 0
u = −0.509438 − 1.010740I
a = −0.657047 − 0.822412I
b = −0.174623 − 0.531939I
1.34232 + 5.62268I 0
u = 0.194485 + 1.115360I
a = 0.350100 + 0.186108I
b = −0.608444 − 0.027519I
−3.11951 + 4.78627I 0
u = 0.194485 − 1.115360I
a = 0.350100 − 0.186108I
b = −0.608444 + 0.027519I
−3.11951 − 4.78627I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.577569 + 0.986336I
a = −1.30379 − 2.11625I
b = −1.95283 − 1.76243I
0.52117 + 6.74313I 0
u = 0.577569 − 0.986336I
a = −1.30379 + 2.11625I
b = −1.95283 + 1.76243I
0.52117 − 6.74313I 0
u = 0.539310 + 1.017660I
a = 0.48284 + 1.45251I
b = 1.21063 + 1.31370I
−1.04203 + 1.94035I 0
u = 0.539310 − 1.017660I
a = 0.48284 − 1.45251I
b = 1.21063 − 1.31370I
−1.04203 − 1.94035I 0
u = −0.674362 + 0.513171I
a = 0.217297 − 1.068620I
b = 0.480136 + 0.394938I
4.23188 + 1.98085I 0
u = −0.674362 − 0.513171I
a = 0.217297 + 1.068620I
b = 0.480136 − 0.394938I
4.23188 − 1.98085I 0
u = 0.523596 + 0.665424I
a = −1.93350 − 1.53251I
b = −2.02164 − 0.92803I
1.55166 − 2.20765I 0
u = 0.523596 − 0.665424I
a = −1.93350 + 1.53251I
b = −2.02164 + 0.92803I
1.55166 + 2.20765I 0
u = −0.249633 + 1.135220I
a = 0.027284 + 0.876617I
b = 0.425806 + 1.195920I
−0.220552 − 1.380440I 0
u = −0.249633 − 1.135220I
a = 0.027284 − 0.876617I
b = 0.425806 − 1.195920I
−0.220552 + 1.380440I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.037010 + 0.528193I
a = −0.277213 − 0.530078I
b = −0.764643 + 0.016513I
3.34061 − 1.52937I 0
u = 1.037010 − 0.528193I
a = −0.277213 + 0.530078I
b = −0.764643 − 0.016513I
3.34061 + 1.52937I 0
u = 0.564420 + 1.019640I
a = 0.96255 + 2.32046I
b = 2.72476 + 1.11435I
4.08712 + 10.98160I 0
u = 0.564420 − 1.019640I
a = 0.96255 − 2.32046I
b = 2.72476 − 1.11435I
4.08712 − 10.98160I 0
u = 0.817225 + 0.131367I
a = 0.461699 − 0.183311I
b = −0.289638 − 0.615141I
2.67857 − 0.12645I 0
u = 0.817225 − 0.131367I
a = 0.461699 + 0.183311I
b = −0.289638 + 0.615141I
2.67857 + 0.12645I 0
u = −0.576283 + 1.037330I
a = −0.71881 + 1.62776I
b = −1.67056 + 1.09790I
−2.87088 − 6.14959I 0
u = −0.576283 − 1.037330I
a = −0.71881 − 1.62776I
b = −1.67056 − 1.09790I
−2.87088 + 6.14959I 0
u = −0.993083 + 0.654574I
a = 0.791409 − 0.430790I
b = 0.908179 + 0.513341I
5.05745 + 5.24853I 0
u = −0.993083 − 0.654574I
a = 0.791409 + 0.430790I
b = 0.908179 − 0.513341I
5.05745 − 5.24853I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.618399 + 1.017950I
a = 0.042351 − 0.951694I
b = 1.33266 − 0.96303I
2.84228 − 6.99204I 0
u = −0.618399 − 1.017950I
a = 0.042351 + 0.951694I
b = 1.33266 + 0.96303I
2.84228 + 6.99204I 0
u = −0.434782 + 1.111920I
a = −1.57044 + 1.24088I
b = −1.77955 − 0.25057I
−2.87850 − 3.79731I 0
u = −0.434782 − 1.111920I
a = −1.57044 − 1.24088I
b = −1.77955 + 0.25057I
−2.87850 + 3.79731I 0
u = 0.711411 + 0.365807I
a = 0.805096 + 0.334688I
b = 0.535882 + 0.327142I
3.58911 − 0.88670I 0
u = 0.711411 − 0.365807I
a = 0.805096 − 0.334688I
b = 0.535882 − 0.327142I
3.58911 + 0.88670I 0
u = −0.204114 + 1.185610I
a = −0.512736 − 0.326345I
b = −1.333950 + 0.328440I
−0.10040 + 3.87106I 0
u = −0.204114 − 1.185610I
a = −0.512736 + 0.326345I
b = −1.333950 − 0.328440I
−0.10040 − 3.87106I 0
u = 0.590716 + 1.063190I
a = 0.618335 + 1.154470I
b = 0.832829 + 1.044430I
1.68765 + 5.78923I 0
u = 0.590716 − 1.063190I
a = 0.618335 − 1.154470I
b = 0.832829 − 1.044430I
1.68765 − 5.78923I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.585565 + 1.067670I
a = 1.21297 − 1.62955I
b = 2.15101 − 1.53445I
2.50984 − 11.35040I 0
u = −0.585565 − 1.067670I
a = 1.21297 + 1.62955I
b = 2.15101 + 1.53445I
2.50984 + 11.35040I 0
u = −0.044565 + 1.229110I
a = 0.576218 + 0.302744I
b = 0.196655 − 0.332669I
3.23753 − 0.36287I 0
u = −0.044565 − 1.229110I
a = 0.576218 − 0.302744I
b = 0.196655 + 0.332669I
3.23753 + 0.36287I 0
u = 0.427223 + 1.161480I
a = −0.918195 + 0.185948I
b = −0.541547 + 0.722478I
−0.55666 + 4.50618I 0
u = 0.427223 − 1.161480I
a = −0.918195 − 0.185948I
b = −0.541547 − 0.722478I
−0.55666 − 4.50618I 0
u = −0.005505 + 0.751358I
a = −0.176930 + 1.261560I
b = −0.630785 + 0.994855I
−0.77236 + 1.52882I 0
u = −0.005505 − 0.751358I
a = −0.176930 − 1.261560I
b = −0.630785 − 0.994855I
−0.77236 − 1.52882I 0
u = 0.729845 + 1.023020I
a = −0.50569 − 1.91253I
b = −1.91801 − 1.54028I
6.99383 + 10.04510I 0
u = 0.729845 − 1.023020I
a = −0.50569 + 1.91253I
b = −1.91801 + 1.54028I
6.99383 − 10.04510I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.200601 + 0.714857I
a = 0.021009 + 0.570723I
b = 0.63334 + 1.54260I
4.09160 − 1.35588I 0
u = 0.200601 − 0.714857I
a = 0.021009 − 0.570723I
b = 0.63334 − 1.54260I
4.09160 + 1.35588I 0
u = −0.654939 + 0.333048I
a = 1.08324 − 1.90308I
b = 0.945704 − 0.385788I
4.44877 + 6.55534I 0
u = −0.654939 − 0.333048I
a = 1.08324 + 1.90308I
b = 0.945704 + 0.385788I
4.44877 − 6.55534I 0
u = −0.709868 + 0.145215I
a = −1.023740 − 0.251496I
b = −0.110923 + 0.361589I
3.75874 + 1.68486I 0
u = −0.709868 − 0.145215I
a = −1.023740 + 0.251496I
b = −0.110923 − 0.361589I
3.75874 − 1.68486I 0
u = 0.385403 + 0.610138I
a = 0.56714 + 3.03938I
b = 2.04152 + 0.51314I
5.50665 − 6.62844I 0
u = 0.385403 − 0.610138I
a = 0.56714 − 3.03938I
b = 2.04152 − 0.51314I
5.50665 + 6.62844I 0
u = −0.695320 + 1.078710I
a = 0.72521 − 1.55863I
b = 1.92975 − 1.26630I
3.32118 − 9.60903I 0
u = −0.695320 − 1.078710I
a = 0.72521 + 1.55863I
b = 1.92975 + 1.26630I
3.32118 + 9.60903I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.056722 + 1.288920I
a = −0.349135 + 0.308909I
b = 0.185160 − 0.241916I
−1.41708 + 6.73353I 0
u = 0.056722 − 1.288920I
a = −0.349135 − 0.308909I
b = 0.185160 + 0.241916I
−1.41708 − 6.73353I 0
u = −0.167537 + 0.688669I
a = 1.69646 − 1.80585I
b = 0.82884 − 1.93265I
4.84605 + 6.84021I 0
u = −0.167537 − 0.688669I
a = 1.69646 + 1.80585I
b = 0.82884 + 1.93265I
4.84605 − 6.84021I 0
u = −0.069902 + 1.297340I
a = 0.289034 + 0.212919I
b = −0.348906 − 0.421935I
3.18249 − 12.63460I 0
u = −0.069902 − 1.297340I
a = 0.289034 − 0.212919I
b = −0.348906 + 0.421935I
3.18249 + 12.63460I 0
u = 0.686507 + 1.103850I
a = 0.99479 + 1.60122I
b = 2.05026 + 0.86912I
8.09406 + 8.15155I 0
u = 0.686507 − 1.103850I
a = 0.99479 − 1.60122I
b = 2.05026 − 0.86912I
8.09406 − 8.15155I 0
u = −0.702473 + 1.094520I
a = 0.935181 − 0.897488I
b = 1.69740 − 0.01509I
7.28269 − 6.07527I 0
u = −0.702473 − 1.094520I
a = 0.935181 + 0.897488I
b = 1.69740 + 0.01509I
7.28269 + 6.07527I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.571033 + 0.394466I
a = −0.506027 + 1.083950I
b = −1.059800 + 0.095444I
−1.19130 + 1.52333I 0
u = −0.571033 − 0.394466I
a = −0.506027 − 1.083950I
b = −1.059800 − 0.095444I
−1.19130 − 1.52333I 0
u = 0.030053 + 1.314570I
a = 0.144730 − 0.030201I
b = 0.625785 + 0.764264I
1.89553 − 2.06321I 0
u = 0.030053 − 1.314570I
a = 0.144730 + 0.030201I
b = 0.625785 − 0.764264I
1.89553 + 2.06321I 0
u = −0.698302 + 1.115550I
a = −0.88814 + 1.61031I
b = −2.04129 + 1.13634I
3.7128 − 14.9173I 0
u = −0.698302 − 1.115550I
a = −0.88814 − 1.61031I
b = −2.04129 − 1.13634I
3.7128 + 14.9173I 0
u = 0.705862 + 1.118890I
a = 0.85586 + 1.66872I
b = 2.16568 + 1.24527I
8.4718 + 20.8976I 0
u = 0.705862 − 1.118890I
a = 0.85586 − 1.66872I
b = 2.16568 − 1.24527I
8.4718 − 20.8976I 0
u = 0.694165 + 1.129420I
a = −0.89641 − 1.35636I
b = −2.24140 − 0.99567I
6.66120 + 10.68300I 0
u = 0.694165 − 1.129420I
a = −0.89641 + 1.35636I
b = −2.24140 + 0.99567I
6.66120 − 10.68300I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.680179 + 1.141450I
a = −0.938489 + 0.532856I
b = −1.54289 + 0.19451I
7.43358 − 8.04637I 0
u = −0.680179 − 1.141450I
a = −0.938489 − 0.532856I
b = −1.54289 − 0.19451I
7.43358 + 8.04637I 0
u = −0.763295 + 1.097840I
a = 0.192795 − 1.295980I
b = 1.22278 − 1.30196I
3.63109 − 11.64310I 0
u = −0.763295 − 1.097840I
a = 0.192795 + 1.295980I
b = 1.22278 + 1.30196I
3.63109 + 11.64310I 0
u = 0.742796 + 1.125820I
a = 0.668055 + 0.588349I
b = 1.176600 + 0.256881I
3.47793 + 2.36793I 0
u = 0.742796 − 1.125820I
a = 0.668055 − 0.588349I
b = 1.176600 − 0.256881I
3.47793 − 2.36793I 0
u = 0.738616 + 1.135540I
a = −0.428486 − 0.965150I
b = −1.189650 − 0.716519I
1.45987 + 7.89561I 0
u = 0.738616 − 1.135540I
a = −0.428486 + 0.965150I
b = −1.189650 + 0.716519I
1.45987 − 7.89561I 0
u = −0.618649
a = 0.728192
b = −1.47428
0.108098 18.3330
u = 0.562659 + 0.228411I
a = 0.945412 + 0.855370I
b = 0.586457 − 0.241341I
0.84694 + 2.23725I 2.54330 − 3.84278I
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.562659 − 0.228411I
a = 0.945412 − 0.855370I
b = 0.586457 + 0.241341I
0.84694 − 2.23725I 2.54330 + 3.84278I
u = −0.770982 + 1.182260I
a = −0.594503 + 0.367484I
b = −1.020820 − 0.041310I
7.80521 + 3.05961I 0
u = −0.770982 − 1.182260I
a = −0.594503 − 0.367484I
b = −1.020820 + 0.041310I
7.80521 − 3.05961I 0
u = −0.141811 + 0.549699I
a = 0.34715 − 2.56347I
b = −0.0165403 − 0.1231980I
4.51012 + 1.72030I 0.49044 − 1.85993I
u = −0.141811 − 0.549699I
a = 0.34715 + 2.56347I
b = −0.0165403 + 0.1231980I
4.51012 − 1.72030I 0.49044 + 1.85993I
u = 0.374485 + 0.283341I
a = −0.88619 + 2.66947I
b = 1.46903 + 0.11597I
5.56765 − 6.66225I 5.36030 + 6.55661I
u = 0.374485 − 0.283341I
a = −0.88619 − 2.66947I
b = 1.46903 − 0.11597I
5.56765 + 6.66225I 5.36030 − 6.55661I
u = 0.14773 + 1.63388I
a = 0.0033641 − 0.0610754I
b = −0.0887299 + 0.1079550I
−4.47645 + 2.73175I 0
u = 0.14773 − 1.63388I
a = 0.0033641 + 0.0610754I
b = −0.0887299 − 0.1079550I
−4.47645 − 2.73175I 0
u = 0.336438
a = 2.28414
b = 0.0562635
1.12439 10.6810
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.0623672 + 0.0747386I
a = −5.34145 − 6.44249I
b = −0.345911 − 1.109320I
1.12920 − 2.58936I 0.42597 + 5.07188I
u = 0.0623672 − 0.0747386I
a = −5.34145 + 6.44249I
b = −0.345911 + 1.109320I
1.12920 + 2.58936I 0.42597 − 5.07188I
23
II. I
u
2
= h−2.95 × 10
21
u
46
+ 1.07 × 10
22
u
45
+ · · · + 2.91 × 10
21
b − 2.07 ×
10
22
, −4.24 × 10
21
u
46
+ 1.10 × 10
22
u
45
+ · · · + 2.91 × 10
21
a − 1.94 ×
10
22
, u
47
+ 13u
45
+ · · · + 3u − 1i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
3
=
1
−u
2
a
10
=
1.45958u
46
− 3.77640u
45
+ ··· − 30.9327u + 6.68676
1.01380u
46
− 3.67476u
45
+ ··· − 19.5665u + 7.11359
a
4
=
0.302165u
46
+ 2.44020u
45
+ ··· + 5.29151u − 1.11671
−2.63569u
46
+ 2.70010u
45
+ ··· + 27.5084u − 7.35340
a
7
=
u
u
a
8
=
−0.00106704u
46
− 2.84660u
45
+ ··· − 15.6523u + 12.7076
−1.19251u
46
− 3.16155u
45
+ ··· − 14.3785u + 4.22262
a
1
=
u
2
+ 1
−u
4
a
11
=
1.78115u
46
− 2.23666u
45
+ ··· − 25.1525u + 3.86813
1.73175u
46
− 4.56115u
45
+ ··· − 25.3913u + 8.61756
a
9
=
1.42381u
46
− 3.18579u
45
+ ··· − 30.1820u + 6.58512
0.978037u
46
− 3.08415u
45
+ ··· − 18.8158u + 7.01195
a
5
=
−0.670719u
46
+ 1.30568u
45
+ ··· + 23.3545u − 3.63819
−2.67977u
46
− 0.323334u
45
+ ··· + 6.41448u − 0.970342
a
12
=
1.92077u
46
+ 1.32074u
45
+ ··· − 3.40284u − 5.40605
−2.30436u
46
+ 1.79297u
45
+ ··· + 4.23125u + 0.0152093
(ii) Obstruction class = 1
(iii) Cusp Shapes =
12910914326883785904614
2906155135733335807861
u
46
+
5272590445832937649905
2906155135733335807861
u
45
+ ··· −
93176596421378723968868
2906155135733335807861
u +
72209637471650966782954
2906155135733335807861
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
47
− 26u
46
+ ··· − 23u + 1
c
2
u
47
+ 13u
45
+ ··· + 3u − 1
c
3
u
47
− u
46
+ ··· − 4u + 1
c
4
u
47
− u
46
+ ··· + 3u + 1
c
5
u
47
− 5u
46
+ ··· + 15u + 1
c
6
u
47
+ 13u
45
+ ··· + 3u + 1
c
7
u
47
+ 2u
46
+ ··· + 2u − 11
c
8
u
47
+ 22u
46
+ ··· + 22u + 1
c
9
u
47
− 19u
46
+ ··· + 21u − 1
c
10
u
47
− 3u
46
+ ··· + 3u − 11
c
11
u
47
+ u
46
+ ··· + 3u − 1
c
12
u
47
+ 2u
46
+ ··· + 11u + 1
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
47
+ 2y
46
+ ··· − 55y −1
c
2
, c
6
y
47
+ 26y
46
+ ··· − 23y −1
c
3
y
47
+ 9y
46
+ ··· − 64y −1
c
4
, c
11
y
47
+ 27y
46
+ ··· + y −1
c
5
y
47
− 23y
46
+ ··· + 89y −1
c
7
y
47
− 14y
46
+ ··· + 2732y −121
c
8
y
47
− 16y
46
+ ··· + 30y −1
c
9
y
47
− 19y
46
+ ··· + 41y −1
c
10
y
47
+ 7y
46
+ ··· − 2213y −121
c
12
y
47
− 12y
46
+ ··· + 71y −1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.826824 + 0.613412I
a = 0.94513 − 1.25009I
b = 1.63266 + 0.19249I
7.44732 + 3.05544I 9.45632 − 0.91967I
u = −0.826824 − 0.613412I
a = 0.94513 + 1.25009I
b = 1.63266 − 0.19249I
7.44732 − 3.05544I 9.45632 + 0.91967I
u = 0.630113 + 0.820119I
a = 0.309894 + 0.822110I
b = 0.055617 − 0.522152I
6.92593 + 8.80337I 7.27214 − 6.50001I
u = 0.630113 − 0.820119I
a = 0.309894 − 0.822110I
b = 0.055617 + 0.522152I
6.92593 − 8.80337I 7.27214 + 6.50001I
u = −0.654943 + 0.824670I
a = 0.633349 − 1.190940I
b = 0.568342 − 0.358259I
2.34700 − 0.49920I 3.99270 + 0.27873I
u = −0.654943 − 0.824670I
a = 0.633349 + 1.190940I
b = 0.568342 + 0.358259I
2.34700 + 0.49920I 3.99270 − 0.27873I
u = −0.620546 + 0.851259I
a = 0.521983 − 0.670106I
b = 1.45599 − 0.91429I
2.29223 − 4.48551I 2.64807 + 6.17876I
u = −0.620546 − 0.851259I
a = 0.521983 + 0.670106I
b = 1.45599 + 0.91429I
2.29223 + 4.48551I 2.64807 − 6.17876I
u = 0.893904 + 0.602563I
a = −0.997201 − 0.915179I
b = −1.261730 + 0.280176I
5.94450 − 4.42000I 10.36704 + 3.81851I
u = 0.893904 − 0.602563I
a = −0.997201 + 0.915179I
b = −1.261730 − 0.280176I
5.94450 + 4.42000I 10.36704 − 3.81851I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.262540 + 1.045610I
a = 0.166980 + 1.086970I
b = 0.673564 + 1.111990I
−2.04368 − 0.95150I −6.27689 − 0.95657I
u = −0.262540 − 1.045610I
a = 0.166980 − 1.086970I
b = 0.673564 − 1.111990I
−2.04368 + 0.95150I −6.27689 + 0.95657I
u = 0.705464 + 0.840248I
a = −0.84390 − 1.63328I
b = −1.96716 − 0.60250I
7.67950 + 2.69845I 12.36475 − 3.04509I
u = 0.705464 − 0.840248I
a = −0.84390 + 1.63328I
b = −1.96716 + 0.60250I
7.67950 − 2.69845I 12.36475 + 3.04509I
u = 0.102300 + 1.109330I
a = 0.362174 − 0.441892I
b = 1.223880 + 0.172344I
−0.14442 − 3.27143I 2.00000 + 0.I
u = 0.102300 − 1.109330I
a = 0.362174 + 0.441892I
b = 1.223880 − 0.172344I
−0.14442 + 3.27143I 2.00000 + 0.I
u = 0.478866 + 1.010160I
a = 1.68970 + 0.68133I
b = 2.21369 − 0.29376I
4.95913 + 9.62770I 6.08733 − 8.46631I
u = 0.478866 − 1.010160I
a = 1.68970 − 0.68133I
b = 2.21369 + 0.29376I
4.95913 − 9.62770I 6.08733 + 8.46631I
u = 0.440504 + 0.756700I
a = 0.42706 + 3.10910I
b = 1.68779 + 1.80547I
5.87672 − 5.84564I 8.04796 + 0.32252I
u = 0.440504 − 0.756700I
a = 0.42706 − 3.10910I
b = 1.68779 − 1.80547I
5.87672 + 5.84564I 8.04796 − 0.32252I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.845953 + 0.224057I
a = −0.454033 + 0.049443I
b = −0.169032 + 0.370411I
2.19829 + 1.14973I −0.20732 − 4.05965I
u = −0.845953 − 0.224057I
a = −0.454033 − 0.049443I
b = −0.169032 − 0.370411I
2.19829 − 1.14973I −0.20732 + 4.05965I
u = −0.440600 + 0.735465I
a = −0.529757 + 1.304030I
b = −1.48003 + 1.46229I
1.07544 + 1.47462I −0.30724 + 1.60278I
u = −0.440600 − 0.735465I
a = −0.529757 − 1.304030I
b = −1.48003 − 1.46229I
1.07544 − 1.47462I −0.30724 − 1.60278I
u = −0.543398 + 1.017760I
a = −0.95120 + 1.12608I
b = −0.949869 + 0.729254I
−0.05728 − 5.50225I −1.65148 + 5.32403I
u = −0.543398 − 1.017760I
a = −0.95120 − 1.12608I
b = −0.949869 − 0.729254I
−0.05728 + 5.50225I −1.65148 − 5.32403I
u = 0.717953 + 0.916298I
a = −0.197064 − 0.026048I
b = 0.556317 + 0.184555I
6.62598 − 3.63352I 7.04034 + 2.52491I
u = 0.717953 − 0.916298I
a = −0.197064 + 0.026048I
b = 0.556317 − 0.184555I
6.62598 + 3.63352I 7.04034 − 2.52491I
u = −0.355593 + 1.109490I
a = −1.017310 − 0.245805I
b = −0.449843 − 0.556723I
−0.61067 − 5.04896I 2.00000 + 10.94268I
u = −0.355593 − 1.109490I
a = −1.017310 + 0.245805I
b = −0.449843 + 0.556723I
−0.61067 + 5.04896I 2.00000 − 10.94268I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.109847 + 0.826480I
a = 1.50107 + 0.47228I
b = 0.099884 + 1.264980I
1.34212 + 3.21376I 1.02834 − 3.60175I
u = −0.109847 − 0.826480I
a = 1.50107 − 0.47228I
b = 0.099884 − 1.264980I
1.34212 − 3.21376I 1.02834 + 3.60175I
u = 0.446151 + 1.100910I
a = −1.58149 − 1.26717I
b = −1.80627 + 0.25124I
−2.97445 + 3.69917I −19.3709 + 16.9807I
u = 0.446151 − 1.100910I
a = −1.58149 + 1.26717I
b = −1.80627 − 0.25124I
−2.97445 − 3.69917I −19.3709 − 16.9807I
u = −0.027254 + 1.190570I
a = 0.0165001 + 0.0345603I
b = −0.521740 + 0.784309I
1.35889 + 1.93098I 2.00000 − 1.60098I
u = −0.027254 − 1.190570I
a = 0.0165001 − 0.0345603I
b = −0.521740 − 0.784309I
1.35889 − 1.93098I 2.00000 + 1.60098I
u = −0.687401 + 1.054520I
a = 0.75226 − 1.69759I
b = 2.10474 − 1.13719I
6.09064 − 8.73869I 0
u = −0.687401 − 1.054520I
a = 0.75226 + 1.69759I
b = 2.10474 + 1.13719I
6.09064 + 8.73869I 0
u = 0.706235 + 1.089890I
a = −0.64145 − 1.44974I
b = −1.77696 − 1.28827I
4.41769 + 10.35310I 0
u = 0.706235 − 1.089890I
a = −0.64145 + 1.44974I
b = −1.77696 + 1.28827I
4.41769 − 10.35310I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.003574 + 0.681096I
a = −0.08290 − 2.14992I
b = −0.99332 − 1.04696I
−0.309340 − 0.677076I 2.01058 − 1.89029I
u = −0.003574 − 0.681096I
a = −0.08290 + 2.14992I
b = −0.99332 + 1.04696I
−0.309340 + 0.677076I 2.01058 + 1.89029I
u = 0.502730
a = 1.15645
b = −1.30140
−0.249964 −4.72460
u = −0.16725 + 1.61471I
a = 0.059053 + 0.140437I
b = 0.115958 + 0.235806I
−4.52427 − 2.67831I 0
u = −0.16725 − 1.61471I
a = 0.059053 − 0.140437I
b = 0.115958 − 0.235806I
−4.52427 + 2.67831I 0
u = 0.172862 + 0.296388I
a = 0.33291 − 2.81905I
b = 0.138218 + 0.737129I
5.07026 − 1.71080I 16.6995 + 2.5936I
u = 0.172862 − 0.296388I
a = 0.33291 + 2.81905I
b = 0.138218 − 0.737129I
5.07026 + 1.71080I 16.6995 − 2.5936I
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
47
− 26u
46
+ ··· − 23u + 1)(u
182
+ 77u
181
+ ··· + 8263u + 121)
c
2
(u
47
+ 13u
45
+ ··· + 3u − 1)(u
182
− u
181
+ ··· + 195u − 11)
c
3
(u
47
− u
46
+ ··· − 4u + 1)(u
182
+ 2u
181
+ ··· − 5309082u − 451273)
c
4
(u
47
− u
46
+ ··· + 3u + 1)(u
182
+ 2u
181
+ ··· + 19u − 1)
c
5
(u
47
− 5u
46
+ ··· + 15u + 1)
· (u
182
+ 2u
181
+ ··· − 38159038193725u − 9874199002121)
c
6
(u
47
+ 13u
45
+ ··· + 3u + 1)(u
182
− u
181
+ ··· + 195u − 11)
c
7
(u
47
+ 2u
46
+ ··· + 2u − 11)
· (u
182
− 3u
181
+ ··· − 16973493258u + 2170070627)
c
8
(u
47
+ 22u
46
+ ··· + 22u + 1)
· (u
182
− 13u
181
+ ··· − 32599410u + 3488929)
c
9
(u
47
− 19u
46
+ ··· + 21u − 1)
· (u
182
− 8u
181
+ ··· + 120499307u − 33795031)
c
10
(u
47
− 3u
46
+ ··· + 3u − 11)
· (u
182
− 16u
181
+ ··· + 87245097403u − 3309477077)
c
11
(u
47
+ u
46
+ ··· + 3u − 1)(u
182
+ 2u
181
+ ··· + 19u − 1)
c
12
(u
47
+ 2u
46
+ ··· + 11u + 1)
· (u
182
+ u
181
+ ··· + 38826485u + 8693093)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
47
+ 2y
46
+ ··· − 55y −1)
· (y
182
+ 69y
181
+ ··· + 304853435y + 14641)
c
2
, c
6
(y
47
+ 26y
46
+ ··· − 23y −1)(y
182
+ 77y
181
+ ··· + 8263y + 121)
c
3
(y
47
+ 9y
46
+ ··· − 64y −1)
· (y
182
+ 44y
181
+ ··· − 374808253700y + 203647320529)
c
4
, c
11
(y
47
+ 27y
46
+ ··· + y −1)(y
182
+ 126y
181
+ ··· − 113y + 1)
c
5
(y
47
− 23y
46
+ ··· + 89y −1)
· (y
182
− 100y
181
+ ··· − 6.27 × 10
27
y + 9.75 × 10
25
)
c
7
(y
47
− 14y
46
+ ··· + 2732y −121)
· (y
182
− 83y
181
+ ··· + 7.07 × 10
20
y + 4.71 × 10
18
)
c
8
(y
47
− 16y
46
+ ··· + 30y −1)
· (y
182
− 65y
181
+ ··· + 5327570686683198y + 12172625567041)
c
9
(y
47
− 19y
46
+ ··· + 41y −1)
· (y
182
− 60y
181
+ ··· − 84230223266656641y + 1142104120290961)
c
10
(y
47
+ 7y
46
+ ··· − 2213y −121)
· (y
182
+ 70y
181
+ ··· − 5.83 × 10
20
y + 1.10 × 10
19
)
c
12
(y
47
− 12y
46
+ ··· + 71y −1)
· (y
182
− 57y
181
+ ··· − 3145101509628851y + 75569865906649)
35
