12a
0546
(K12a
0546
)
A knot diagram
1
Linearized knot diagam
3 7 8 10 1 11 2 5 12 4 6 9
Solving Sequence
2,8
7 3 4
1,11
6 12 5 10 9
c
7
c
2
c
3
c
1
c
6
c
11
c
5
c
10
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−177u
48
− 2295u
47
+ ··· + 16b − 22288, −1039u
48
− 10379u
47
+ ··· + 32a − 6640,
u
49
+ 11u
48
+ ··· + 336u + 32i
I
u
2
= h−3.75564 × 10
34
a
9
u
3
+ 9.36038 × 10
34
a
8
u
3
+ ··· + 3.47750 × 10
34
a − 1.15768 × 10
36
,
− a
9
u
3
+ 8a
8
u
3
+ ··· − 140a + 56, u
4
+ u
2
+ u + 1i
I
u
3
= h4u
33
− u
32
+ ··· + b − 3, −u
33
+ 5u
32
+ ··· + a + 6, u
34
+ 9u
32
+ ··· + 5u
2
+ 1i
I
u
4
= h−1.40412 × 10
42
a
9
u
5
− 1.78290 × 10
42
a
8
u
5
+ ··· − 6.44973 × 10
41
a − 1.75326 × 10
42
,
− a
8
u
5
− 5a
7
u
5
+ ··· + 43a + 33, u
6
− u
5
+ 2u
4
− 2u
3
+ 2u
2
− 2u + 1i
* 4 irreducible components of dim
C
= 0, with total 183 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h−177u
48
− 2295u
47
+ · · · + 16b − 22288, −1039u
48
− 10379u
47
+
· · · + 32a − 6640, u
49
+ 11u
48
+ · · · + 336u + 32i
(i) Arc colorings
a
2
=
0
u
a
8
=
1
0
a
7
=
1
u
2
a
3
=
u
u
3
+ u
a
4
=
−u
3
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
1039
32
u
48
+
10379
32
u
47
+ ··· + 2331u +
415
2
177
16
u
48
+
2295
16
u
47
+ ··· + 13026u + 1393
a
6
=
1
2
u
48
− 8u
47
+ ··· − 2888u −
607
2
15u
48
+
327
2
u
47
+ ··· +
10033
2
u + 496
a
12
=
523
16
u
48
+ 293u
47
+ ··· − 6815u − 776
143
16
u
48
+
2251
16
u
47
+ ··· + 13224u + 1390
a
5
=
−15u
48
−
311
2
u
47
+ ··· − 2400u −
447
2
15
2
u
48
+
143
2
u
47
+ ··· +
1425
2
u + 80
a
10
=
−
209
32
u
48
−
1493
32
u
47
+ ··· + 6055u +
1359
2
185
16
u
48
+
1691
16
u
47
+ ··· + 1056u + 103
a
9
=
21
2
u
48
+ 136u
47
+ ··· +
27905
4
u + 705
−
13
4
u
48
−
69
2
u
47
+ ··· + 1840u + 224
(ii) Obstruction class = −1
(iii) Cusp Shapes =
13
2
u
48
+ 136u
47
+ ··· + 19132u + 2014
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
49
+ 23u
48
+ ··· − 2304u − 1024
c
2
, c
7
u
49
+ 11u
48
+ ··· + 336u + 32
c
3
u
49
− 11u
48
+ ··· − 1796480u + 194816
c
4
, c
6
, c
10
c
11
u
49
+ 15u
47
+ ··· + 3u + 1
c
5
, c
8
u
49
− 13u
47
+ ··· + 45u
2
+ 1
c
9
, c
12
u
49
+ 24u
48
+ ··· + 20992u + 1024
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
49
+ 7y
48
+ ··· + 3342336y −1048576
c
2
, c
7
y
49
+ 23y
48
+ ··· − 2304y −1024
c
3
y
49
− 9y
48
+ ··· + 105434251264y −37953273856
c
4
, c
6
, c
10
c
11
y
49
+ 30y
48
+ ··· − 7y −1
c
5
, c
8
y
49
− 26y
48
+ ··· − 90y −1
c
9
, c
12
y
49
+ 18y
48
+ ··· − 13893632y −1048576
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.478052 + 0.856443I
a = 0.326341 − 0.492210I
b = −0.305506 + 0.147125I
−1.49827 + 2.65503I 0
u = 0.478052 − 0.856443I
a = 0.326341 + 0.492210I
b = −0.305506 − 0.147125I
−1.49827 − 2.65503I 0
u = 0.766749 + 0.715877I
a = 0.739711 + 0.674856I
b = −0.247125 − 0.492473I
5.20437 + 10.91700I 0
u = 0.766749 − 0.715877I
a = 0.739711 − 0.674856I
b = −0.247125 + 0.492473I
5.20437 − 10.91700I 0
u = −0.873499 + 0.354678I
a = −0.494292 − 0.464853I
b = −1.10940 + 1.28651I
6.00554 + 7.82565I 0
u = −0.873499 − 0.354678I
a = −0.494292 + 0.464853I
b = −1.10940 − 1.28651I
6.00554 − 7.82565I 0
u = −0.928111 + 0.072870I
a = 0.0795687 − 0.0803024I
b = −0.092121 − 1.024010I
−0.88139 − 3.32643I 0
u = −0.928111 − 0.072870I
a = 0.0795687 + 0.0803024I
b = −0.092121 + 1.024010I
−0.88139 + 3.32643I 0
u = −0.854709 + 0.330936I
a = 0.589192 + 0.476228I
b = 1.27262 − 1.43921I
2.9680 + 14.0850I 0
u = −0.854709 − 0.330936I
a = 0.589192 − 0.476228I
b = 1.27262 + 1.43921I
2.9680 − 14.0850I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.834815 + 0.695048I
a = −0.600762 − 0.546152I
b = 0.215820 + 0.394312I
8.04704 + 4.10210I 0
u = 0.834815 − 0.695048I
a = −0.600762 + 0.546152I
b = 0.215820 − 0.394312I
8.04704 − 4.10210I 0
u = −0.772371 + 0.438945I
a = 0.441341 + 0.697787I
b = 1.22235 − 0.84048I
−0.97909 + 3.38897I 0
u = −0.772371 − 0.438945I
a = 0.441341 − 0.697787I
b = 1.22235 + 0.84048I
−0.97909 − 3.38897I 0
u = −0.176690 + 1.110960I
a = −1.37363 + 0.70599I
b = 1.192360 + 0.396112I
−5.86501 + 1.18942I 0
u = −0.176690 − 1.110960I
a = −1.37363 − 0.70599I
b = 1.192360 − 0.396112I
−5.86501 − 1.18942I 0
u = 0.720620 + 0.910593I
a = 0.851674 − 0.093308I
b = −0.487414 − 0.153696I
4.63672 − 5.35669I 0
u = 0.720620 − 0.910593I
a = 0.851674 + 0.093308I
b = −0.487414 + 0.153696I
4.63672 + 5.35669I 0
u = −0.784834 + 0.882632I
a = 0.495169 − 0.986231I
b = −1.42077 + 0.19958I
5.13191 − 2.94920I 0
u = −0.784834 − 0.882632I
a = 0.495169 + 0.986231I
b = −1.42077 − 0.19958I
5.13191 + 2.94920I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.374297 + 1.159210I
a = 1.59406 + 0.04146I
b = −0.99157 − 1.09139I
−7.96185 − 1.00016I 0
u = −0.374297 − 1.159210I
a = 1.59406 − 0.04146I
b = −0.99157 + 1.09139I
−7.96185 + 1.00016I 0
u = −0.440430 + 1.140610I
a = −1.229590 + 0.512090I
b = 1.165190 + 0.534330I
−4.40899 − 3.96742I 0
u = −0.440430 − 1.140610I
a = −1.229590 − 0.512090I
b = 1.165190 − 0.534330I
−4.40899 + 3.96742I 0
u = −0.199279 + 1.223060I
a = −0.92640 + 1.45535I
b = 1.41221 − 0.37985I
−2.20258 + 10.92800I 0
u = −0.199279 − 1.223060I
a = −0.92640 − 1.45535I
b = 1.41221 + 0.37985I
−2.20258 − 10.92800I 0
u = 0.226512 + 0.722089I
a = 0.478385 + 0.339901I
b = −0.067581 − 0.304627I
−0.435531 + 1.029440I −6.73597 − 6.27362I
u = 0.226512 − 0.722089I
a = 0.478385 − 0.339901I
b = −0.067581 + 0.304627I
−0.435531 − 1.029440I −6.73597 + 6.27362I
u = −0.161961 + 1.234220I
a = 0.786447 − 1.166120I
b = −1.136990 + 0.290901I
0.57747 + 4.75186I 0
u = −0.161961 − 1.234220I
a = 0.786447 + 1.166120I
b = −1.136990 − 0.290901I
0.57747 − 4.75186I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.762483 + 0.986272I
a = −0.664376 + 0.055284I
b = 0.390680 + 0.129241I
7.19998 + 1.81506I 0
u = 0.762483 − 0.986272I
a = −0.664376 − 0.055284I
b = 0.390680 − 0.129241I
7.19998 − 1.81506I 0
u = −0.733012 + 0.139560I
a = −0.196963 − 0.376645I
b = −0.961605 − 0.428464I
−4.20707 + 2.68572I −8.43914 − 0.98514I
u = −0.733012 − 0.139560I
a = −0.196963 + 0.376645I
b = −0.961605 + 0.428464I
−4.20707 − 2.68572I −8.43914 + 0.98514I
u = −0.491321 + 1.163850I
a = 0.753297 − 1.171010I
b = −1.360560 + 0.258355I
−7.16891 − 7.24449I 0
u = −0.491321 − 1.163850I
a = 0.753297 + 1.171010I
b = −1.360560 − 0.258355I
−7.16891 + 7.24449I 0
u = −0.610741 + 1.106510I
a = −1.82526 + 0.70262I
b = 1.87393 + 0.96407I
−2.96315 − 8.64038I 0
u = −0.610741 − 1.106510I
a = −1.82526 − 0.70262I
b = 1.87393 − 0.96407I
−2.96315 + 8.64038I 0
u = 0.517947 + 0.519025I
a = 0.297309 + 0.781886I
b = 0.035740 − 0.380670I
−0.65164 + 1.35300I −3.66413 − 3.95386I
u = 0.517947 − 0.519025I
a = 0.297309 − 0.781886I
b = 0.035740 + 0.380670I
−0.65164 − 1.35300I −3.66413 + 3.95386I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.595665 + 1.157710I
a = −2.39362 + 0.13659I
b = 1.85518 + 1.74290I
0.4891 − 19.4430I 0
u = −0.595665 − 1.157710I
a = −2.39362 − 0.13659I
b = 1.85518 − 1.74290I
0.4891 + 19.4430I 0
u = −0.608941 + 1.156550I
a = 2.10503 − 0.13730I
b = −1.65929 − 1.53207I
3.58691 − 13.28800I 0
u = −0.608941 − 1.156550I
a = 2.10503 + 0.13730I
b = −1.65929 + 1.53207I
3.58691 + 13.28800I 0
u = −0.403571 + 1.266070I
a = 0.793970 + 0.803823I
b = −0.032613 − 1.072270I
−5.12980 − 7.92840I 0
u = −0.403571 − 1.266070I
a = 0.793970 − 0.803823I
b = −0.032613 + 1.072270I
−5.12980 + 7.92840I 0
u = −0.482995 + 1.261900I
a = −0.592524 − 0.822612I
b = −0.130388 + 0.995982I
−4.59017 − 1.74004I 0
u = −0.482995 − 1.261900I
a = −0.592524 + 0.822612I
b = −0.130388 − 0.995982I
−4.59017 + 1.74004I 0
u = −0.629499
a = 0.431846
b = 0.733727
−1.32172 −7.66060
9
II. I
u
2
= h−3.76 × 10
34
a
9
u
3
+ 9.36 × 10
34
a
8
u
3
+ · · · + 3.48 × 10
34
a − 1.16 ×
10
36
, −a
9
u
3
+ 8a
8
u
3
+ · · · − 140a + 56, u
4
+ u
2
+ u + 1i
(i) Arc colorings
a
2
=
0
u
a
8
=
1
0
a
7
=
1
u
2
a
3
=
u
u
3
+ u
a
4
=
−u
3
u
3
+ u
a
1
=
u
3
−u
2
a
11
=
a
0.0192083a
9
u
3
− 0.0478739a
8
u
3
+ ··· − 0.0177858a + 0.592099
a
6
=
0.00387234a
9
u
3
+ 4.04744 × 10
−6
a
8
u
3
+ ··· + 0.286154a + 0.695075
−0.0207142a
9
u
3
+ 0.0403472a
8
u
3
+ ··· − 0.0248324a − 0.987236
a
12
=
0.0113983a
9
u
3
+ 0.00828088a
8
u
3
+ ··· − 0.595655a + 0.525412
0.0291838a
9
u
3
− 0.0117244a
8
u
3
+ ··· − 0.480714a + 1.19425
a
5
=
−0.00469576a
9
u
3
+ 0.00153863a
8
u
3
+ ··· − 0.594584a + 1.37528
−0.0249612a
9
u
3
+ 0.0282996a
8
u
3
+ ··· + 0.838625a − 0.740159
a
10
=
0.00875384a
9
u
3
+ 0.00505333a
8
u
3
+ ··· − 0.278193a − 1.43301
0.0203720a
9
u
3
− 0.0751696a
8
u
3
+ ··· + 0.737034a + 2.44408
a
9
=
0.0298026a
9
u
3
+ 0.00481884a
8
u
3
+ ··· − 0.776901a − 1.24375
0.0280847a
9
u
3
− 0.00770531a
8
u
3
+ ··· − 0.625473a + 1.44098
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.000262201a
9
u
3
+ 0.0975732a
8
u
3
+ ···−0.00295730a + 0.996708
10
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
4
+ 2u
3
+ 3u
2
+ u + 1)
10
c
2
, c
7
(u
4
+ u
2
+ u + 1)
10
c
3
(u
4
+ 3u
3
+ 4u
2
+ 3u + 2)
10
c
4
, c
6
, c
10
c
11
u
40
+ 15u
38
+ ··· + 58u + 1
c
5
, c
8
u
40
+ 3u
38
+ ··· + 52u + 17
c
9
, c
12
(u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
8
11
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
4
+ 2y
3
+ 7y
2
+ 5y + 1)
10
c
2
, c
7
(y
4
+ 2y
3
+ 3y
2
+ y + 1)
10
c
3
(y
4
− y
3
+ 2y
2
+ 7y + 4)
10
c
4
, c
6
, c
10
c
11
y
40
+ 30y
39
+ ··· + 2452y + 1
c
5
, c
8
y
40
+ 6y
39
+ ··· − 7260y + 289
c
9
, c
12
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)
8
12
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.547424 + 0.585652I
a = 0.221497 + 0.902974I
b = 1.20773 − 1.11641I
0.04234 + 3.00374I −0.974125 + 0.368774I
u = −0.547424 + 0.585652I
a = −1.002660 + 0.500950I
b = −0.220534 − 0.928964I
5.58580 − 2.92767I 3.25507 + 8.29801I
u = −0.547424 + 0.585652I
a = 0.827670 − 0.764225I
b = −0.336750 + 1.236380I
5.58580 + 0.13349I 3.25507 − 0.56329I
u = −0.547424 + 0.585652I
a = 0.780499 + 0.214919I
b = 1.274850 − 0.209977I
0.04234 − 5.79792I −0.97412 + 7.36595I
u = −0.547424 + 0.585652I
a = −1.150910 − 0.353292I
b = −0.779043 + 0.360018I
3.51382 − 1.39709I 2.28905 + 3.86736I
u = −0.547424 + 0.585652I
a = 0.06089 − 1.53723I
b = −1.05256 + 1.13396I
3.51382 − 1.39709I 2.28905 + 3.86736I
u = −0.547424 + 0.585652I
a = 1.38874 + 1.10350I
b = 0.657391 − 0.953872I
0.04234 + 3.00374I −0.974125 + 0.368774I
u = −0.547424 + 0.585652I
a = −1.95881 + 0.77532I
b = 0.545262 − 0.029038I
5.58580 + 0.13349I 3.25507 − 0.56329I
u = −0.547424 + 0.585652I
a = 1.57898 − 1.47433I
b = −0.920272 + 0.482059I
5.58580 − 2.92767I 3.25507 + 8.29801I
u = −0.547424 + 0.585652I
a = 0.14923 + 2.18391I
b = 1.12804 − 1.20101I
0.04234 − 5.79792I −0.97412 + 7.36595I
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.547424 − 0.585652I
a = 0.221497 − 0.902974I
b = 1.20773 + 1.11641I
0.04234 − 3.00374I −0.974125 − 0.368774I
u = −0.547424 − 0.585652I
a = −1.002660 − 0.500950I
b = −0.220534 + 0.928964I
5.58580 + 2.92767I 3.25507 − 8.29801I
u = −0.547424 − 0.585652I
a = 0.827670 + 0.764225I
b = −0.336750 − 1.236380I
5.58580 − 0.13349I 3.25507 + 0.56329I
u = −0.547424 − 0.585652I
a = 0.780499 − 0.214919I
b = 1.274850 + 0.209977I
0.04234 + 5.79792I −0.97412 − 7.36595I
u = −0.547424 − 0.585652I
a = −1.150910 + 0.353292I
b = −0.779043 − 0.360018I
3.51382 + 1.39709I 2.28905 − 3.86736I
u = −0.547424 − 0.585652I
a = 0.06089 + 1.53723I
b = −1.05256 − 1.13396I
3.51382 + 1.39709I 2.28905 − 3.86736I
u = −0.547424 − 0.585652I
a = 1.38874 − 1.10350I
b = 0.657391 + 0.953872I
0.04234 − 3.00374I −0.974125 − 0.368774I
u = −0.547424 − 0.585652I
a = −1.95881 − 0.77532I
b = 0.545262 + 0.029038I
5.58580 − 0.13349I 3.25507 + 0.56329I
u = −0.547424 − 0.585652I
a = 1.57898 + 1.47433I
b = −0.920272 − 0.482059I
5.58580 + 2.92767I 3.25507 − 8.29801I
u = −0.547424 − 0.585652I
a = 0.14923 − 2.18391I
b = 1.12804 + 1.20101I
0.04234 + 5.79792I −0.97412 − 7.36595I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.547424 + 1.120870I
a = −0.247228 − 1.022000I
b = 0.694936 − 0.038214I
−3.56279 + 3.24254I −6.51450 − 3.01228I
u = 0.547424 + 1.120870I
a = 1.216500 + 0.435470I
b = −1.43346 + 0.07856I
−3.56279 + 3.24254I −6.51450 − 3.01228I
u = 0.547424 + 1.120870I
a = 1.20787 + 0.82266I
b = −1.17538 + 0.78950I
−0.09131 + 7.64338I −3.25133 − 6.51087I
u = 0.547424 + 1.120870I
a = −1.94445 − 0.20546I
b = 1.78925 − 0.91897I
−0.09131 + 7.64338I −3.25133 − 6.51087I
u = 0.547424 + 1.120870I
a = −1.46157 − 1.48954I
b = 1.73674 − 0.54283I
−3.56279 + 12.04420I −6.51450 − 10.00946I
u = 0.547424 + 1.120870I
a = 2.14871 − 0.54708I
b = −1.18440 + 2.26626I
1.98067 + 6.11280I −2.28530 − 2.08022I
u = 0.547424 + 1.120870I
a = 2.20868 + 0.63787I
b = −2.42866 + 0.80414I
−3.56279 + 12.04420I −6.51450 − 10.00946I
u = 0.547424 + 1.120870I
a = −2.54283 + 0.36709I
b = 1.74184 − 2.22507I
1.98067 + 9.17395I −2.28530 − 10.94152I
u = 0.547424 + 1.120870I
a = 2.63408 + 0.12261I
b = −1.64407 + 1.91490I
1.98067 + 9.17395I −2.28530 − 10.94152I
u = 0.547424 + 1.120870I
a = −2.61489 + 0.37153I
b = 1.39909 − 2.02199I
1.98067 + 6.11280I −2.28530 − 2.08022I
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.547424 − 1.120870I
a = −0.247228 + 1.022000I
b = 0.694936 + 0.038214I
−3.56279 − 3.24254I −6.51450 + 3.01228I
u = 0.547424 − 1.120870I
a = 1.216500 − 0.435470I
b = −1.43346 − 0.07856I
−3.56279 − 3.24254I −6.51450 + 3.01228I
u = 0.547424 − 1.120870I
a = 1.20787 − 0.82266I
b = −1.17538 − 0.78950I
−0.09131 − 7.64338I −3.25133 + 6.51087I
u = 0.547424 − 1.120870I
a = −1.94445 + 0.20546I
b = 1.78925 + 0.91897I
−0.09131 − 7.64338I −3.25133 + 6.51087I
u = 0.547424 − 1.120870I
a = −1.46157 + 1.48954I
b = 1.73674 + 0.54283I
−3.56279 − 12.04420I −6.51450 + 10.00946I
u = 0.547424 − 1.120870I
a = 2.14871 + 0.54708I
b = −1.18440 − 2.26626I
1.98067 − 6.11280I −2.28530 + 2.08022I
u = 0.547424 − 1.120870I
a = 2.20868 − 0.63787I
b = −2.42866 − 0.80414I
−3.56279 − 12.04420I −6.51450 + 10.00946I
u = 0.547424 − 1.120870I
a = −2.54283 − 0.36709I
b = 1.74184 + 2.22507I
1.98067 − 9.17395I −2.28530 + 10.94152I
u = 0.547424 − 1.120870I
a = 2.63408 − 0.12261I
b = −1.64407 − 1.91490I
1.98067 − 9.17395I −2.28530 + 10.94152I
u = 0.547424 − 1.120870I
a = −2.61489 − 0.37153I
b = 1.39909 + 2.02199I
1.98067 − 6.11280I −2.28530 + 2.08022I
16
III.
I
u
3
= h4u
33
−u
32
+· · ·+b−3, −u
33
+5u
32
+· · ·+a+6 , u
34
+9u
32
+· · ·+5u
2
+1i
(i) Arc colorings
a
2
=
0
u
a
8
=
1
0
a
7
=
1
u
2
a
3
=
u
u
3
+ u
a
4
=
−u
3
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
u
33
− 5u
32
+ ··· − 5u − 6
−4u
33
+ u
32
+ ··· − 3u + 3
a
6
=
−u
33
+ 3u
32
+ ··· − 3u + 9
3u
33
+ 26u
31
+ ··· + 6u − 2
a
12
=
u
33
− 2u
32
+ ··· + u − 7
−3u
33
− u
32
+ ··· − 5u
2
− 7u
a
5
=
−u
33
+ 3u
32
+ ··· − 3u + 8
3u
33
+ 26u
31
+ ··· + 23u
3
+ 6u
a
10
=
4u
33
− 4u
32
+ ··· − 2u − 6
−4u
33
− 32u
31
+ ··· − 4u + 2
a
9
=
8u
33
+ 3u
32
+ ··· + 6u + 5
−3u
32
− 27u
30
+ ··· − 2u − 5
(ii) Obstruction class = 1
(iii) Cusp Shapes = 9u
33
− 10u
32
+ 67u
31
− 87u
30
+ 263u
29
− 380u
28
+ 658u
27
−
1080u
26
+ 1131u
25
− 2208u
24
+ 1283u
23
− 3393u
22
+ 713u
21
− 3977u
20
− 553u
19
−
3510u
18
− 1834u
17
− 2248u
16
− 2366u
15
− 980u
14
− 1938u
13
− 336u
12
− 1099u
11
−
240u
10
− 414u
9
− 292u
8
− 89u
7
− 243u
6
+ 7u
5
− 149u
4
+ 3u
3
− 60u
2
− 6u − 20
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
34
− 18u
33
+ ··· − 10u + 1
c
2
u
34
+ 9u
32
+ ··· + 5u
2
+ 1
c
3
u
34
− 3u
32
+ ··· − 11u + 2
c
4
, c
11
u
34
+ 17u
32
+ ··· − u + 1
c
5
, c
8
u
34
+ u
32
+ ··· + 14u
2
+ 1
c
6
, c
10
u
34
+ 17u
32
+ ··· + u + 1
c
7
u
34
+ 9u
32
+ ··· + 5u
2
+ 1
c
9
u
34
+ 7u
33
+ ··· + 7u + 2
c
12
u
34
− 7u
33
+ ··· − 7u + 2
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
+ 6y
33
+ ··· + 6y + 1
c
2
, c
7
y
34
+ 18y
33
+ ··· + 10y + 1
c
3
y
34
− 6y
33
+ ··· + 35y + 4
c
4
, c
6
, c
10
c
11
y
34
+ 34y
33
+ ··· + 25y + 1
c
5
, c
8
y
34
+ 2y
33
+ ··· + 28y + 1
c
9
, c
12
y
34
+ 15y
33
+ ··· + 91y + 4
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.175447 + 0.908387I
a = 0.93384 + 1.29509I
b = −1.203890 − 0.021941I
1.24636 + 0.77692I −1.59232 − 0.45733I
u = 0.175447 − 0.908387I
a = 0.93384 − 1.29509I
b = −1.203890 + 0.021941I
1.24636 − 0.77692I −1.59232 + 0.45733I
u = 0.378298 + 1.025040I
a = −1.65359 − 1.98904I
b = 2.35690 − 0.05072I
−2.70143 − 2.21044I −10.00411 + 2.97913I
u = 0.378298 − 1.025040I
a = −1.65359 + 1.98904I
b = 2.35690 + 0.05072I
−2.70143 + 2.21044I −10.00411 − 2.97913I
u = −0.446576 + 1.007670I
a = 1.284690 + 0.264149I
b = −0.772388 + 0.275318I
3.32629 − 4.17850I −9.34971 + 5.36525I
u = −0.446576 − 1.007670I
a = 1.284690 − 0.264149I
b = −0.772388 − 0.275318I
3.32629 + 4.17850I −9.34971 − 5.36525I
u = −0.735794 + 0.868998I
a = −0.777395 + 0.164568I
b = 0.381336 − 0.268041I
7.20535 − 2.79984I 0.68714 + 4.48210I
u = −0.735794 − 0.868998I
a = −0.777395 − 0.164568I
b = 0.381336 + 0.268041I
7.20535 + 2.79984I 0.68714 − 4.48210I
u = −0.493215 + 1.032640I
a = −1.169460 − 0.418848I
b = 0.770877 − 0.137293I
3.70762 − 1.98587I −7.17262 + 5.77733I
u = −0.493215 − 1.032640I
a = −1.169460 + 0.418848I
b = 0.770877 + 0.137293I
3.70762 + 1.98587I −7.17262 − 5.77733I
20
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.766467 + 0.886453I
a = 0.591369 + 1.076620I
b = −1.56273 − 0.15360I
5.24088 + 2.89492I 28.9377 + 11.1946I
u = 0.766467 − 0.886453I
a = 0.591369 − 1.076620I
b = −1.56273 + 0.15360I
5.24088 − 2.89492I 28.9377 − 11.1946I
u = 0.319562 + 1.129570I
a = 0.43367 + 1.91770I
b = −1.50967 − 0.88561I
0.197406 + 0.068322I −5.69119 + 0.41650I
u = 0.319562 − 1.129570I
a = 0.43367 − 1.91770I
b = −1.50967 + 0.88561I
0.197406 − 0.068322I −5.69119 − 0.41650I
u = 0.550999 + 1.052080I
a = −2.49049 − 0.77299I
b = 2.25741 − 1.49473I
−1.43767 + 8.62180I −4.00584 − 11.42538I
u = 0.550999 − 1.052080I
a = −2.49049 + 0.77299I
b = 2.25741 + 1.49473I
−1.43767 − 8.62180I −4.00584 + 11.42538I
u = 0.602122 + 0.543667I
a = 0.89996 − 1.27699I
b = 1.41856 + 1.23555I
0.13723 − 4.00384I 0.26497 + 8.82336I
u = 0.602122 − 0.543667I
a = 0.89996 + 1.27699I
b = 1.41856 − 1.23555I
0.13723 + 4.00384I 0.26497 − 8.82336I
u = −0.802781 + 0.092125I
a = −0.179602 − 0.535483I
b = 0.095376 + 0.234147I
−1.95884 − 2.97586I −6.98733 + 4.04383I
u = −0.802781 − 0.092125I
a = −0.179602 + 0.535483I
b = 0.095376 − 0.234147I
−1.95884 + 2.97586I −6.98733 − 4.04383I
21
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.356604 + 0.700327I
a = 1.87192 − 0.13022I
b = −0.743288 + 0.616870I
4.48703 + 0.69517I −3.98417 − 4.15847I
u = −0.356604 − 0.700327I
a = 1.87192 + 0.13022I
b = −0.743288 − 0.616870I
4.48703 − 0.69517I −3.98417 + 4.15847I
u = 0.533410 + 1.126150I
a = 2.50830 − 0.43425I
b = −1.39156 + 2.19888I
1.66627 + 7.70167I −4.99272 − 6.16421I
u = 0.533410 − 1.126150I
a = 2.50830 + 0.43425I
b = −1.39156 − 2.19888I
1.66627 − 7.70167I −4.99272 + 6.16421I
u = 0.206145 + 0.713441I
a = −0.53672 − 1.94505I
b = 1.380820 + 0.253515I
−1.36419 + 4.96005I −6.45146 − 4.53589I
u = 0.206145 − 0.713441I
a = −0.53672 + 1.94505I
b = 1.380820 − 0.253515I
−1.36419 − 4.96005I −6.45146 + 4.53589I
u = 0.691184 + 0.263602I
a = −1.020880 − 0.035967I
b = −0.83399 − 1.66380I
4.12969 − 3.00464I −0.91662 + 1.90953I
u = 0.691184 − 0.263602I
a = −1.020880 + 0.035967I
b = −0.83399 + 1.66380I
4.12969 + 3.00464I −0.91662 − 1.90953I
u = −0.428148 + 1.203320I
a = −0.356418 + 0.053099I
b = 0.192146 − 0.154330I
−5.71922 − 7.18271I −8.44231 + 3.95769I
u = −0.428148 − 1.203320I
a = −0.356418 − 0.053099I
b = 0.192146 + 0.154330I
−5.71922 + 7.18271I −8.44231 − 3.95769I
22
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.477945 + 0.531567I
a = −1.57856 + 1.14238I
b = 0.386660 − 0.798114I
5.25433 − 2.08567I −1.36649 − 1.54128I
u = −0.477945 − 0.531567I
a = −1.57856 − 1.14238I
b = 0.386660 + 0.798114I
5.25433 + 2.08567I −1.36649 + 1.54128I
u = −0.482570 + 1.217200I
a = 0.239364 + 0.240727I
b = −0.222552 − 0.064553I
−5.32283 − 1.76180I −12.93293 + 0.46359I
u = −0.482570 − 1.217200I
a = 0.239364 − 0.240727I
b = −0.222552 + 0.064553I
−5.32283 + 1.76180I −12.93293 − 0.46359I
23
IV. I
u
4
= h−1.40 × 10
42
a
9
u
5
− 1.78 × 10
42
a
8
u
5
+ · · · − 6.45 × 10
41
a − 1.75 ×
10
42
, −a
8
u
5
− 5a
7
u
5
+ · · · + 43a + 33, u
6
− u
5
+ 2u
4
− 2u
3
+ 2u
2
− 2u + 1i
(i) Arc colorings
a
2
=
0
u
a
8
=
1
0
a
7
=
1
u
2
a
3
=
u
u
3
+ u
a
4
=
−u
3
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
a
1.97714a
9
u
5
+ 2.51051a
8
u
5
+ ··· + 0.908190a + 2.46877
a
6
=
−0.554073a
9
u
5
+ 0.0117925a
8
u
5
+ ··· + 0.224704a + 0.603423
−4.91503a
9
u
5
− 2.80199a
8
u
5
+ ··· + 1.55705a − 2.84529
a
12
=
−0.988162a
9
u
5
+ 0.735866a
8
u
5
+ ··· − 1.38300a − 0.489711
3.44692a
9
u
5
+ 7.76734a
8
u
5
+ ··· − 2.71457a + 4.19964
a
5
=
0.466786a
9
u
5
+ 0.225244a
8
u
5
+ ··· − 0.185849a + 1.00601
−2.30113a
9
u
5
− 2.81848a
8
u
5
+ ··· + 0.871344a − 1.23856
a
10
=
−0.611779a
9
u
5
− 0.0411682a
8
u
5
+ ··· − 0.604032a + 0.0609651
3.33926a
9
u
5
+ 1.66335a
8
u
5
+ ··· + 3.54626a + 2.64082
a
9
=
−2.63968a
9
u
5
− 0.0951509a
8
u
5
+ ··· + 0.0679385a − 1.00362
−1.58545a
9
u
5
+ 3.85770a
8
u
5
+ ··· + 1.28057a + 0.346556
(ii) Obstruction class = −1
(iii) Cusp Shapes = −3.40314a
9
u
5
− 1.49935a
8
u
5
+ ··· − 5.36747a − 4.60915
24
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
6
+ 3u
5
+ 4u
4
+ 2u
3
+ 1)
10
c
2
, c
7
(u
6
− u
5
+ 2u
4
− 2u
3
+ 2u
2
− 2u + 1)
10
c
3
(u
3
− u
2
+ 1)
20
c
4
, c
6
, c
10
c
11
u
60
− u
59
+ ··· − 3670u + 2669
c
5
, c
8
u
60
+ 5u
59
+ ··· + 62u + 113
c
9
, c
12
(u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
12
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
6
− y
5
+ 4y
4
− 2y
3
+ 8y
2
+ 1)
10
c
2
, c
7
(y
6
+ 3y
5
+ 4y
4
+ 2y
3
+ 1)
10
c
3
(y
3
− y
2
+ 2y −1)
20
c
4
, c
6
, c
10
c
11
y
60
+ 45y
59
+ ··· + 201780612y + 7123561
c
5
, c
8
y
60
+ 9y
59
+ ··· + 482056y + 12769
c
9
, c
12
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)
12
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.498832 + 1.001300I
a = 1.187190 − 0.580549I
b = −1.53567 + 0.73738I
4.33996 − 1.29754I 0.99464 − 1.45120I
u = −0.498832 + 1.001300I
a = 0.98473 − 1.14241I
b = −1.29543 − 0.83221I
2.26798 − 2.82812I 0.02861 + 2.97945I
u = −0.498832 + 1.001300I
a = −0.386326 + 0.284240I
b = 0.626993 − 1.222260I
4.33996 − 4.35870I 0.99464 + 7.41010I
u = −0.498832 + 1.001300I
a = −1.53224 + 0.59576I
b = 1.62811 + 1.44810I
−1.20350 − 7.22895I −3.23456 + 6.47803I
u = −0.498832 + 1.001300I
a = −1.18533 − 1.36196I
b = −0.016793 + 0.427166I
4.33996 − 1.29754I 0.99464 − 1.45120I
u = −0.498832 + 1.001300I
a = 2.04707 + 0.72336I
b = −0.819193 − 0.708896I
4.33996 − 4.35870I 0.99464 + 7.41010I
u = −0.498832 + 1.001300I
a = −1.25879 + 1.91035I
b = 1.70598 + 0.42213I
−1.20350 + 1.57271I −3.23456 − 0.51914I
u = −0.498832 + 1.001300I
a = −2.21633 + 0.81752I
b = 2.55859 + 0.71574I
−1.20350 + 1.57271I −3.23456 − 0.51914I
u = −0.498832 + 1.001300I
a = 2.28167 − 0.69433I
b = −2.13217 − 0.67389I
2.26798 − 2.82812I 0.02861 + 2.97945I
u = −0.498832 + 1.001300I
a = −2.60402 + 0.95635I
b = 2.09434 + 0.92355I
−1.20350 − 7.22895I −3.23456 + 6.47803I
27
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.498832 − 1.001300I
a = 1.187190 + 0.580549I
b = −1.53567 − 0.73738I
4.33996 + 1.29754I 0.99464 + 1.45120I
u = −0.498832 − 1.001300I
a = 0.98473 + 1.14241I
b = −1.29543 + 0.83221I
2.26798 + 2.82812I 0.02861 − 2.97945I
u = −0.498832 − 1.001300I
a = −0.386326 − 0.284240I
b = 0.626993 + 1.222260I
4.33996 + 4.35870I 0.99464 − 7.41010I
u = −0.498832 − 1.001300I
a = −1.53224 − 0.59576I
b = 1.62811 − 1.44810I
−1.20350 + 7.22895I −3.23456 − 6.47803I
u = −0.498832 − 1.001300I
a = −1.18533 + 1.36196I
b = −0.016793 − 0.427166I
4.33996 + 1.29754I 0.99464 + 1.45120I
u = −0.498832 − 1.001300I
a = 2.04707 − 0.72336I
b = −0.819193 + 0.708896I
4.33996 + 4.35870I 0.99464 − 7.41010I
u = −0.498832 − 1.001300I
a = −1.25879 − 1.91035I
b = 1.70598 − 0.42213I
−1.20350 − 1.57271I −3.23456 + 0.51914I
u = −0.498832 − 1.001300I
a = −2.21633 − 0.81752I
b = 2.55859 − 0.71574I
−1.20350 − 1.57271I −3.23456 + 0.51914I
u = −0.498832 − 1.001300I
a = 2.28167 + 0.69433I
b = −2.13217 + 0.67389I
2.26798 + 2.82812I 0.02861 − 2.97945I
u = −0.498832 − 1.001300I
a = −2.60402 − 0.95635I
b = 2.09434 − 0.92355I
−1.20350 + 7.22895I −3.23456 − 6.47803I
28
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.284920 + 1.115140I
a = −0.447866 − 0.773534I
b = 0.607666 − 0.410398I
−1.86960 −6.50065 + 0.I
u = 0.284920 + 1.115140I
a = 0.909856 + 0.827852I
b = −0.996411 + 0.795087I
−5.34108 − 4.40083I −9.76382 + 3.49859I
u = 0.284920 + 1.115140I
a = 0.566727 + 0.144152I
b = −0.148379 + 0.928428I
−5.34108 + 4.40083I −9.76382 − 3.49859I
u = 0.284920 + 1.115140I
a = 0.42898 + 1.52583I
b = −1.52554 − 0.71276I
0.20238 + 1.53058I −5.53463 − 4.43065I
u = 0.284920 + 1.115140I
a = 1.58056 + 0.44067I
b = −1.365780 + 0.159127I
−1.86960 −6.50065 + 0.I
u = 0.284920 + 1.115140I
a = −0.53674 − 1.64005I
b = 1.58601 + 0.41462I
0.20238 − 1.53058I −5.53463 + 4.43065I
u = 0.284920 + 1.115140I
a = −1.82651 + 0.44752I
b = 1.076880 − 0.772116I
−5.34108 + 4.40083I −9.76382 − 3.49859I
u = 0.284920 + 1.115140I
a = −0.29102 − 2.12205I
b = 1.21913 + 0.99116I
0.20238 + 1.53058I −5.53463 − 4.43065I
u = 0.284920 + 1.115140I
a = 0.97533 + 2.06684I
b = −1.66548 − 0.82093I
0.20238 − 1.53058I −5.53463 + 4.43065I
u = 0.284920 + 1.115140I
a = −2.28946 − 0.64389I
b = 1.83447 − 0.36589I
−5.34108 − 4.40083I −9.76382 + 3.49859I
29
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.284920 − 1.115140I
a = −0.447866 + 0.773534I
b = 0.607666 + 0.410398I
−1.86960 −6.50065 + 0.I
u = 0.284920 − 1.115140I
a = 0.909856 − 0.827852I
b = −0.996411 − 0.795087I
−5.34108 + 4.40083I −9.76382 − 3.49859I
u = 0.284920 − 1.115140I
a = 0.566727 − 0.144152I
b = −0.148379 − 0.928428I
−5.34108 − 4.40083I −9.76382 + 3.49859I
u = 0.284920 − 1.115140I
a = 0.42898 − 1.52583I
b = −1.52554 + 0.71276I
0.20238 − 1.53058I −5.53463 + 4.43065I
u = 0.284920 − 1.115140I
a = 1.58056 − 0.44067I
b = −1.365780 − 0.159127I
−1.86960 −6.50065 + 0.I
u = 0.284920 − 1.115140I
a = −0.53674 + 1.64005I
b = 1.58601 − 0.41462I
0.20238 + 1.53058I −5.53463 − 4.43065I
u = 0.284920 − 1.115140I
a = −1.82651 − 0.44752I
b = 1.076880 + 0.772116I
−5.34108 − 4.40083I −9.76382 + 3.49859I
u = 0.284920 − 1.115140I
a = −0.29102 + 2.12205I
b = 1.21913 − 0.99116I
0.20238 − 1.53058I −5.53463 + 4.43065I
u = 0.284920 − 1.115140I
a = 0.97533 − 2.06684I
b = −1.66548 + 0.82093I
0.20238 + 1.53058I −5.53463 − 4.43065I
u = 0.284920 − 1.115140I
a = −2.28946 + 0.64389I
b = 1.83447 + 0.36589I
−5.34108 + 4.40083I −9.76382 − 3.49859I
30
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.713912 + 0.305839I
a = 0.429948 − 1.005930I
b = 0.856359 + 0.958840I
2.26798 − 2.82812I 0.02861 + 2.97945I
u = 0.713912 + 0.305839I
a = 0.144154 + 1.099060I
b = −0.615263 − 0.248701I
−1.20350 + 1.57271I −3.23456 − 0.51914I
u = 0.713912 + 0.305839I
a = −0.720705 + 0.032856I
b = −1.19093 − 1.54922I
4.33996 − 4.35870I 0.99464 + 7.41010I
u = 0.713912 + 0.305839I
a = −1.299170 − 0.066752I
b = −0.62005 − 1.56486I
4.33996 − 1.29754I 0.99464 − 1.45120I
u = 0.713912 + 0.305839I
a = 0.656118 − 0.214127I
b = 0.87114 + 1.75180I
4.33996 − 1.29754I 0.99464 − 1.45120I
u = 0.713912 + 0.305839I
a = −0.566965 − 0.340836I
b = −0.932711 − 0.359785I
2.26798 − 2.82812I 0.02861 + 2.97945I
u = 0.713912 + 0.305839I
a = 1.294010 − 0.437485I
b = 0.90098 + 1.66721I
4.33996 − 4.35870I 0.99464 + 7.41010I
u = 0.713912 + 0.305839I
a = 0.486682 + 0.192068I
b = 1.48640 + 0.19696I
−1.20350 − 7.22895I −3.23456 + 6.47803I
u = 0.713912 + 0.305839I
a = 0.257873 + 0.445393I
b = 0.596404 − 0.463000I
−1.20350 + 1.57271I −3.23456 − 0.51914I
u = 0.713912 + 0.305839I
a = −0.56943 + 1.40171I
b = −1.28963 − 0.88118I
−1.20350 − 7.22895I −3.23456 + 6.47803I
31
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.713912 − 0.305839I
a = 0.429948 + 1.005930I
b = 0.856359 − 0.958840I
2.26798 + 2.82812I 0.02861 − 2.97945I
u = 0.713912 − 0.305839I
a = 0.144154 − 1.099060I
b = −0.615263 + 0.248701I
−1.20350 − 1.57271I −3.23456 + 0.51914I
u = 0.713912 − 0.305839I
a = −0.720705 − 0.032856I
b = −1.19093 + 1.54922I
4.33996 + 4.35870I 0.99464 − 7.41010I
u = 0.713912 − 0.305839I
a = −1.299170 + 0.066752I
b = −0.62005 + 1.56486I
4.33996 + 1.29754I 0.99464 + 1.45120I
u = 0.713912 − 0.305839I
a = 0.656118 + 0.214127I
b = 0.87114 − 1.75180I
4.33996 + 1.29754I 0.99464 + 1.45120I
u = 0.713912 − 0.305839I
a = −0.566965 + 0.340836I
b = −0.932711 + 0.359785I
2.26798 + 2.82812I 0.02861 − 2.97945I
u = 0.713912 − 0.305839I
a = 1.294010 + 0.437485I
b = 0.90098 − 1.66721I
4.33996 + 4.35870I 0.99464 − 7.41010I
u = 0.713912 − 0.305839I
a = 0.486682 − 0.192068I
b = 1.48640 − 0.19696I
−1.20350 + 7.22895I −3.23456 − 6.47803I
u = 0.713912 − 0.305839I
a = 0.257873 − 0.445393I
b = 0.596404 + 0.463000I
−1.20350 − 1.57271I −3.23456 + 0.51914I
u = 0.713912 − 0.305839I
a = −0.56943 − 1.40171I
b = −1.28963 + 0.88118I
−1.20350 + 7.22895I −3.23456 − 6.47803I
32
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
4
+ 2u
3
+ 3u
2
+ u + 1)
10
(u
6
+ 3u
5
+ 4u
4
+ 2u
3
+ 1)
10
· (u
34
− 18u
33
+ ··· − 10u + 1)(u
49
+ 23u
48
+ ··· − 2304u − 1024)
c
2
(u
4
+ u
2
+ u + 1)
10
(u
6
− u
5
+ 2u
4
− 2u
3
+ 2u
2
− 2u + 1)
10
· (u
34
+ 9u
32
+ ··· + 5u
2
+ 1)(u
49
+ 11u
48
+ ··· + 336u + 32)
c
3
((u
3
− u
2
+ 1)
20
)(u
4
+ 3u
3
+ ··· + 3u + 2)
10
(u
34
− 3u
32
+ ··· − 11u + 2)
· (u
49
− 11u
48
+ ··· − 1796480u + 194816)
c
4
, c
11
(u
34
+ 17u
32
+ ··· − u + 1)(u
40
+ 15u
38
+ ··· + 58u + 1)
· (u
49
+ 15u
47
+ ··· + 3u + 1)(u
60
− u
59
+ ··· − 3670u + 2669)
c
5
, c
8
(u
34
+ u
32
+ ··· + 14u
2
+ 1)(u
40
+ 3u
38
+ ··· + 52u + 17)
· (u
49
− 13u
47
+ ··· + 45u
2
+ 1)(u
60
+ 5u
59
+ ··· + 62u + 113)
c
6
, c
10
(u
34
+ 17u
32
+ ··· + u + 1)(u
40
+ 15u
38
+ ··· + 58u + 1)
· (u
49
+ 15u
47
+ ··· + 3u + 1)(u
60
− u
59
+ ··· − 3670u + 2669)
c
7
(u
4
+ u
2
+ u + 1)
10
(u
6
− u
5
+ 2u
4
− 2u
3
+ 2u
2
− 2u + 1)
10
· (u
34
+ 9u
32
+ ··· + 5u
2
+ 1)(u
49
+ 11u
48
+ ··· + 336u + 32)
c
9
((u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
20
)(u
34
+ 7u
33
+ ··· + 7u + 2)
· (u
49
+ 24u
48
+ ··· + 20992u + 1024)
c
12
((u
5
− u
4
+ 2u
3
− u
2
+ u − 1)
20
)(u
34
− 7u
33
+ ··· − 7u + 2)
· (u
49
+ 24u
48
+ ··· + 20992u + 1024)
33
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
4
+ 2y
3
+ 7y
2
+ 5y + 1)
10
(y
6
− y
5
+ 4y
4
− 2y
3
+ 8y
2
+ 1)
10
· (y
34
+ 6y
33
+ ··· + 6y + 1)(y
49
+ 7y
48
+ ··· + 3342336y −1048576)
c
2
, c
7
(y
4
+ 2y
3
+ 3y
2
+ y + 1)
10
(y
6
+ 3y
5
+ 4y
4
+ 2y
3
+ 1)
10
· (y
34
+ 18y
33
+ ··· + 10y + 1)(y
49
+ 23y
48
+ ··· − 2304y −1024)
c
3
(y
3
− y
2
+ 2y −1)
20
(y
4
− y
3
+ 2y
2
+ 7y + 4)
10
· (y
34
− 6y
33
+ ··· + 35y + 4)
· (y
49
− 9y
48
+ ··· + 105434251264y −37953273856)
c
4
, c
6
, c
10
c
11
(y
34
+ 34y
33
+ ··· + 25y + 1)(y
40
+ 30y
39
+ ··· + 2452y + 1)
· (y
49
+ 30y
48
+ ··· − 7y −1)
· (y
60
+ 45y
59
+ ··· + 201780612y + 7123561)
c
5
, c
8
(y
34
+ 2y
33
+ ··· + 28y + 1)(y
40
+ 6y
39
+ ··· − 7260y + 289)
· (y
49
− 26y
48
+ ··· − 90y −1)(y
60
+ 9y
59
+ ··· + 482056y + 12769)
c
9
, c
12
((y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)
20
)(y
34
+ 15y
33
+ ··· + 91y + 4)
· (y
49
+ 18y
48
+ ··· − 13893632y −1048576)
34
