12a
1112
(K12a
1112
)
A knot diagram
1
Linearized knot diagam
4 7 12 8 10 3 11 1 5 6 2 9
Solving Sequence
5,9
10 6
1,11
8 4 2 7 12 3
c
9
c
5
c
10
c
8
c
4
c
1
c
7
c
12
c
3
c
2
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.05333 × 10
25
u
34
− 9.66699 × 10
25
u
33
+ ··· + 3.46689 × 10
24
b − 2.06621 × 10
26
,
1.39674 × 10
26
u
34
− 1.16817 × 10
27
u
33
+ ··· + 1.73345 × 10
25
a − 1.66150 × 10
27
,
u
35
− 10u
34
+ ··· + 34u + 20i
I
u
2
= h−4.36663 × 10
46
au
54
+ 3.92439 × 10
46
u
54
+ ··· + 1.93672 × 10
46
a − 3.95313 × 10
46
,
− 5.04902 × 10
42
au
54
+ 3.03401 × 10
43
u
54
+ ··· − 1.84231 × 10
44
a + 2.06530 × 10
44
,
u
55
+ 4u
54
+ ··· + 3u − 1i
I
u
3
= h−u
7
+ 5u
5
− 7u
3
+ 2u
2
+ b − 1, u
7
− 5u
5
+ 7u
3
− 2u
2
+ a + 2, u
8
− u
7
− 5u
6
+ 5u
5
+ 7u
4
− 8u
3
+ 2u
2
− u − 1i
I
u
4
= h5u
14
a − u
14
+ ··· − a − 6, −u
14
a − u
13
a + ··· + 5a + 1,
u
15
+ u
14
− 9u
13
− 10u
12
+ 29u
11
+ 35u
10
− 39u
9
− 50u
8
+ 18u
7
+ 20u
6
− 2u
5
+ 11u
4
+ 4u
3
− 7u
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
=
h1.05×10
25
u
34
−9.67×10
25
u
33
+· · ·+3.47×10
24
b−2.07×10
26
, 1.40×10
26
u
34
−
1.17 × 10
27
u
33
+ · · · + 1.73 × 10
25
a − 1.66 × 10
27
, u
35
− 10u
34
+ · · · + 34u + 20i
(i) Arc colorings
a
5
=
0
u
a
9
=
1
0
a
10
=
1
u
2
a
6
=
−u
−u
3
+ u
a
1
=
−8.05760u
34
+ 67.3902u
33
+ ··· + 216.775u + 95.8498
−3.03824u
34
+ 27.8837u
33
+ ··· + 151.183u + 59.5982
a
11
=
−u
2
+ 1
−u
4
+ 2u
2
a
8
=
−8.07945u
34
+ 70.9964u
33
+ ··· + 308.907u + 126.677
20.2058u
34
− 172.098u
33
+ ··· − 634.931u − 269.346
a
4
=
0.743800u
34
− 8.22710u
33
+ ··· − 77.9988u − 27.7846
−14.1624u
34
+ 122.356u
33
+ ··· + 493.828u + 204.174
a
2
=
−1.67496u
34
+ 12.9651u
33
+ ··· + 17.1386u + 11.5788
−4.24049u
34
+ 36.4664u
33
+ ··· + 138.050u + 59.1818
a
7
=
−6.69454u
34
+ 54.3723u
33
+ ··· + 135.594u + 65.4843
−2.18204u
34
+ 16.4361u
33
+ ··· + 6.41141u + 8.93501
a
12
=
−11.0958u
34
+ 95.2739u
33
+ ··· + 367.957u + 155.448
−3.03824u
34
+ 27.8837u
33
+ ··· + 151.183u + 59.5982
a
3
=
12.7046u
34
− 108.535u
33
+ ··· − 404.102u − 172.051
10.5406u
34
− 90.7723u
33
+ ··· − 350.757u − 148.302
(ii) Obstruction class = −1
(iii) Cusp Shapes =
150582076995001786883398728
1733446477044451037240759
u
34
−
1293993719851736952781608217
1733446477044451037240759
u
33
+
··· −
5021810385311596138829713842
1733446477044451037240759
u −
2132009033300635690695804090
1733446477044451037240759
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
u
35
+ u
34
+ ··· + 7u + 1
c
2
, c
6
, c
8
c
12
u
35
+ u
34
+ ··· + 8u + 4
c
3
u
35
+ 19u
34
+ ··· + 3582u + 412
c
4
, c
7
u
35
+ u
34
+ ··· + 4u + 1
c
5
, c
9
, c
10
u
35
− 10u
34
+ ··· + 34u + 20
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
y
35
+ 25y
34
+ ··· + 29y −1
c
2
, c
6
, c
8
c
12
y
35
+ 23y
34
+ ··· + 144y −16
c
3
y
35
+ 5y
34
+ ··· + 3024300y −169744
c
4
, c
7
y
35
+ 11y
34
+ ··· − 38y −1
c
5
, c
9
, c
10
y
35
− 38y
34
+ ··· + 1916y −400
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.803997 + 0.533074I
a = 1.43448 + 1.10830I
b = −0.062543 − 1.074790I
6.06587 − 1.03841I −4.61661 + 0.I
u = −0.803997 − 0.533074I
a = 1.43448 − 1.10830I
b = −0.062543 + 1.074790I
6.06587 + 1.03841I −4.61661 + 0.I
u = 1.105460 + 0.091312I
a = 0.064040 + 0.792479I
b = 0.422290 − 1.286260I
3.42980 + 2.02749I −9.51115 + 1.18447I
u = 1.105460 − 0.091312I
a = 0.064040 − 0.792479I
b = 0.422290 + 1.286260I
3.42980 − 2.02749I −9.51115 − 1.18447I
u = 0.673394 + 0.561518I
a = 0.676471 − 1.054270I
b = 0.207754 + 1.028490I
2.46897 − 2.30248I −9.34144 + 3.82773I
u = 0.673394 − 0.561518I
a = 0.676471 + 1.054270I
b = 0.207754 − 1.028490I
2.46897 + 2.30248I −9.34144 − 3.82773I
u = −0.598181 + 0.961731I
a = −0.54099 − 1.61027I
b = −0.538203 + 1.269780I
6.0194 + 14.5123I −8.16245 − 9.90720I
u = −0.598181 − 0.961731I
a = −0.54099 + 1.61027I
b = −0.538203 − 1.269780I
6.0194 − 14.5123I −8.16245 + 9.90720I
u = −0.473448 + 0.563117I
a = 0.348604 − 0.219293I
b = −0.867609 − 0.203863I
−0.63258 + 3.95481I −13.6290 − 6.0007I
u = −0.473448 − 0.563117I
a = 0.348604 + 0.219293I
b = −0.867609 + 0.203863I
−0.63258 − 3.95481I −13.6290 + 6.0007I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.349085 + 0.606361I
a = 0.23813 + 2.73509I
b = 0.224450 − 1.246080I
7.37225 + 4.97861I −1.44832 − 6.36788I
u = −0.349085 − 0.606361I
a = 0.23813 − 2.73509I
b = 0.224450 + 1.246080I
7.37225 − 4.97861I −1.44832 + 6.36788I
u = −0.707100 + 1.117540I
a = −0.338530 − 1.076450I
b = 0.378752 + 1.180320I
5.90335 − 7.84555I 0
u = −0.707100 − 1.117540I
a = −0.338530 + 1.076450I
b = 0.378752 − 1.180320I
5.90335 + 7.84555I 0
u = −1.41227 + 0.14588I
a = 1.208100 + 0.092079I
b = 0.797088 − 0.998953I
1.00471 + 6.09485I 0
u = −1.41227 − 0.14588I
a = 1.208100 − 0.092079I
b = 0.797088 + 0.998953I
1.00471 − 6.09485I 0
u = −0.391148 + 0.427059I
a = 0.295079 + 0.998933I
b = 0.596218 − 0.096324I
−0.501599 − 0.453196I −14.2379 − 0.6217I
u = −0.391148 − 0.427059I
a = 0.295079 − 0.998933I
b = 0.596218 + 0.096324I
−0.501599 + 0.453196I −14.2379 + 0.6217I
u = 1.47231 + 0.17993I
a = −0.87718 + 1.36651I
b = −0.314810 − 1.360770I
1.40292 − 7.73465I 0
u = 1.47231 − 0.17993I
a = −0.87718 − 1.36651I
b = −0.314810 + 1.360770I
1.40292 + 7.73465I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.49385 + 0.19132I
a = 0.337606 − 0.343758I
b = 1.058070 − 0.319858I
−7.06787 − 6.71422I 0
u = 1.49385 − 0.19132I
a = 0.337606 + 0.343758I
b = 1.058070 + 0.319858I
−7.06787 + 6.71422I 0
u = 0.174543 + 0.422754I
a = −1.74538 + 2.01944I
b = −0.584132 − 1.136250I
6.24160 − 4.06118I −1.88533 + 4.69388I
u = 0.174543 − 0.422754I
a = −1.74538 − 2.01944I
b = −0.584132 + 1.136250I
6.24160 + 4.06118I −1.88533 − 4.69388I
u = −1.54135 + 0.10386I
a = −0.828626 − 0.343315I
b = −0.521454 + 0.940783I
−4.84166 + 4.34625I 0
u = −1.54135 − 0.10386I
a = −0.828626 + 0.343315I
b = −0.521454 − 0.940783I
−4.84166 − 4.34625I 0
u = 1.54823 + 0.03994I
a = −0.491121 + 0.284574I
b = −0.604028 + 0.080486I
−7.11890 − 0.61994I 0
u = 1.54823 − 0.03994I
a = −0.491121 − 0.284574I
b = −0.604028 − 0.080486I
−7.11890 + 0.61994I 0
u = 1.57837 + 0.33899I
a = 1.038850 − 0.942216I
b = 0.66578 + 1.28800I
−1.0151 − 19.2744I 0
u = 1.57837 − 0.33899I
a = 1.038850 + 0.942216I
b = 0.66578 − 1.28800I
−1.0151 + 19.2744I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.382332
a = 0.622554
b = 0.322801
−0.581792 −17.0880
u = 1.53143 + 0.55845I
a = −0.701270 + 1.154460I
b = −0.300993 − 0.837192I
−3.88596 − 3.19348I 0
u = 1.53143 − 0.55845I
a = −0.701270 − 1.154460I
b = −0.300993 + 0.837192I
−3.88596 + 3.19348I 0
u = 1.89015 + 0.03404I
a = −0.329520 − 0.418059I
b = −0.218032 + 0.900975I
−3.86222 + 1.75896I 0
u = 1.89015 − 0.03404I
a = −0.329520 + 0.418059I
b = −0.218032 − 0.900975I
−3.86222 − 1.75896I 0
8
II. I
u
2
= h−4.37 × 10
46
au
54
+ 3.92 × 10
46
u
54
+ · · · + 1.94 × 10
46
a − 3.95 ×
10
46
, −5.05 × 10
42
au
54
+ 3.03 × 10
43
u
54
+ · · · − 1.84 × 10
44
a + 2.07 ×
10
44
, u
55
+ 4u
54
+ · · · + 3u − 1i
(i) Arc colorings
a
5
=
0
u
a
9
=
1
0
a
10
=
1
u
2
a
6
=
−u
−u
3
+ u
a
1
=
a
1.14957au
54
− 1.03314u
54
+ ··· − 0.509865a + 1.04071
a
11
=
−u
2
+ 1
−u
4
+ 2u
2
a
8
=
−1.26663au
54
− 0.830110u
54
+ ··· + 1.05263a − 3.29375
−0.604358au
54
+ 1.38963u
54
+ ··· − 1.89616a + 2.18358
a
4
=
0.459243au
54
− 2.31570u
54
+ ··· + 1.32353a − 7.18383
0.491567au
54
+ 0.506314u
54
+ ··· − 0.166689a + 0.246017
a
2
=
−1.18307au
54
+ 4.62717u
54
+ ··· − 3.90624a + 6.59236
−0.247329au
54
− 0.152341u
54
+ ··· − 0.316387a − 1.04384
a
7
=
−1.94504au
54
+ 0.689214u
54
+ ··· − 1.16001a − 0.436189
−0.235673au
54
+ 1.03979u
54
+ ··· − 1.66571a + 2.18129
a
12
=
1.14957au
54
− 1.03314u
54
+ ··· + 0.490135a + 1.04071
1.14957au
54
− 1.03314u
54
+ ··· − 0.509865a + 1.04071
a
3
=
0.468039au
54
− 2.67095u
54
+ ··· + 1.96864a − 5.26709
−0.0813838au
54
+ 0.151068u
54
+ ··· + 0.379373a + 2.16276
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.650219u
54
+ 3.90679u
53
+ ··· + 33.7462u − 13.9094
9
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
u
110
− 10u
109
+ ··· − 62239u + 5573
c
2
, c
6
, c
8
c
12
u
110
− u
109
+ ··· + 757u + 161
c
3
(u
55
− 8u
54
+ ··· + u − 1)
2
c
4
, c
7
u
110
+ 5u
109
+ ··· − 2143u + 1273
c
5
, c
9
, c
10
(u
55
+ 4u
54
+ ··· + 3u − 1)
2
10
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
y
110
+ 18y
109
+ ··· + 573371397y + 31058329
c
2
, c
6
, c
8
c
12
y
110
+ 53y
109
+ ··· + 1093301y + 25921
c
3
(y
55
+ 52y
53
+ ··· − 51y −1)
2
c
4
, c
7
y
110
− 19y
109
+ ··· + 173836323y + 1620529
c
5
, c
9
, c
10
(y
55
− 58y
54
+ ··· + y −1)
2
11
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.690905 + 0.836192I
a = 0.366866 − 0.880523I
b = −0.241428 + 0.824984I
2.29186 − 2.97653I 0
u = 0.690905 + 0.836192I
a = 0.61526 − 1.37416I
b = 0.455751 + 1.178700I
2.29186 − 2.97653I 0
u = 0.690905 − 0.836192I
a = 0.366866 + 0.880523I
b = −0.241428 − 0.824984I
2.29186 + 2.97653I 0
u = 0.690905 − 0.836192I
a = 0.61526 + 1.37416I
b = 0.455751 − 1.178700I
2.29186 + 2.97653I 0
u = −0.211935 + 1.078880I
a = 0.14003 + 1.43194I
b = 0.470912 − 1.207600I
2.01266 + 5.69803I 0
u = −0.211935 + 1.078880I
a = −0.05804 − 1.67565I
b = −0.253274 + 0.756122I
2.01266 + 5.69803I 0
u = −0.211935 − 1.078880I
a = 0.14003 − 1.43194I
b = 0.470912 + 1.207600I
2.01266 − 5.69803I 0
u = −0.211935 − 1.078880I
a = −0.05804 + 1.67565I
b = −0.253274 − 0.756122I
2.01266 − 5.69803I 0
u = 0.490640 + 0.738991I
a = 0.160306 + 0.008195I
b = −1.008690 + 0.095297I
2.39208 − 9.05536I −10.63523 + 8.54922I
u = 0.490640 + 0.738991I
a = −0.74005 + 1.97245I
b = −0.532272 − 1.198920I
2.39208 − 9.05536I −10.63523 + 8.54922I
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.490640 − 0.738991I
a = 0.160306 − 0.008195I
b = −1.008690 − 0.095297I
2.39208 + 9.05536I −10.63523 − 8.54922I
u = 0.490640 − 0.738991I
a = −0.74005 − 1.97245I
b = −0.532272 + 1.198920I
2.39208 + 9.05536I −10.63523 − 8.54922I
u = 0.721236 + 0.487051I
a = −0.175549 − 0.965280I
b = 0.265285 + 0.402133I
2.64516 − 3.21436I −11.40156 + 4.88184I
u = 0.721236 + 0.487051I
a = 1.32499 − 1.39029I
b = 0.439519 + 1.129730I
2.64516 − 3.21436I −11.40156 + 4.88184I
u = 0.721236 − 0.487051I
a = −0.175549 + 0.965280I
b = 0.265285 − 0.402133I
2.64516 + 3.21436I −11.40156 − 4.88184I
u = 0.721236 − 0.487051I
a = 1.32499 + 1.39029I
b = 0.439519 − 1.129730I
2.64516 + 3.21436I −11.40156 − 4.88184I
u = −0.094135 + 0.797521I
a = −0.09523 + 1.51095I
b = −0.33150 − 1.38137I
7.37231 + 4.07544I −3.25549 − 3.99001I
u = −0.094135 + 0.797521I
a = 0.19906 − 2.27702I
b = −0.400816 + 1.176110I
7.37231 + 4.07544I −3.25549 − 3.99001I
u = −0.094135 − 0.797521I
a = −0.09523 − 1.51095I
b = −0.33150 + 1.38137I
7.37231 − 4.07544I −3.25549 + 3.99001I
u = −0.094135 − 0.797521I
a = 0.19906 + 2.27702I
b = −0.400816 − 1.176110I
7.37231 − 4.07544I −3.25549 + 3.99001I
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.659238 + 0.334521I
a = 0.942611 + 0.016242I
b = −0.252937 − 0.954465I
−0.69659 − 1.57624I −16.2076 + 2.4005I
u = −0.659238 + 0.334521I
a = 0.097853 − 0.336057I
b = 0.839956 + 0.182273I
−0.69659 − 1.57624I −16.2076 + 2.4005I
u = −0.659238 − 0.334521I
a = 0.942611 − 0.016242I
b = −0.252937 + 0.954465I
−0.69659 + 1.57624I −16.2076 − 2.4005I
u = −0.659238 − 0.334521I
a = 0.097853 + 0.336057I
b = 0.839956 − 0.182273I
−0.69659 + 1.57624I −16.2076 − 2.4005I
u = −1.174720 + 0.534428I
a = −0.647509 − 0.837083I
b = 0.303605 + 1.014120I
4.16724 + 0.68269I 0
u = −1.174720 + 0.534428I
a = 1.009840 + 0.600097I
b = 0.651657 − 1.213950I
4.16724 + 0.68269I 0
u = −1.174720 − 0.534428I
a = −0.647509 + 0.837083I
b = 0.303605 − 1.014120I
4.16724 − 0.68269I 0
u = −1.174720 − 0.534428I
a = 1.009840 − 0.600097I
b = 0.651657 + 1.213950I
4.16724 − 0.68269I 0
u = 0.512258 + 0.483347I
a = −0.83422 + 1.25390I
b = 0.478814 − 1.088540I
2.16174 + 4.57220I −12.69275 − 5.26611I
u = 0.512258 + 0.483347I
a = 1.01988 − 1.23393I
b = 0.518200 − 0.362883I
2.16174 + 4.57220I −12.69275 − 5.26611I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.512258 − 0.483347I
a = −0.83422 − 1.25390I
b = 0.478814 + 1.088540I
2.16174 − 4.57220I −12.69275 + 5.26611I
u = 0.512258 − 0.483347I
a = 1.01988 + 1.23393I
b = 0.518200 + 0.362883I
2.16174 − 4.57220I −12.69275 + 5.26611I
u = −1.305390 + 0.111278I
a = −0.162667 − 0.719844I
b = 0.085396 + 1.348090I
−0.64381 + 2.74769I 0
u = −1.305390 + 0.111278I
a = 0.158184 + 0.340349I
b = 0.890640 + 0.025319I
−0.64381 + 2.74769I 0
u = −1.305390 − 0.111278I
a = −0.162667 + 0.719844I
b = 0.085396 − 1.348090I
−0.64381 − 2.74769I 0
u = −1.305390 − 0.111278I
a = 0.158184 − 0.340349I
b = 0.890640 − 0.025319I
−0.64381 − 2.74769I 0
u = 1.321550 + 0.221317I
a = −0.130536 + 0.598890I
b = 0.04613 − 1.58841I
3.02817 − 7.64203I 0
u = 1.321550 + 0.221317I
a = 1.17454 − 1.37975I
b = 0.486101 + 1.244880I
3.02817 − 7.64203I 0
u = 1.321550 − 0.221317I
a = −0.130536 − 0.598890I
b = 0.04613 + 1.58841I
3.02817 + 7.64203I 0
u = 1.321550 − 0.221317I
a = 1.17454 + 1.37975I
b = 0.486101 − 1.244880I
3.02817 + 7.64203I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.34005
a = 1.353980 + 0.139540I
b = 0.760771 − 0.965542I
0.940013 0
u = 1.34005
a = 1.353980 − 0.139540I
b = 0.760771 + 0.965542I
0.940013 0
u = 1.34292
a = −1.22526 + 0.74618I
b = −0.485734 − 0.832040I
−4.96750 0
u = 1.34292
a = −1.22526 − 0.74618I
b = −0.485734 + 0.832040I
−4.96750 0
u = −1.386050 + 0.039559I
a = −0.470371 + 0.137165I
b = −1.43986 + 0.40976I
−5.51949 + 1.85437I 0
u = −1.386050 + 0.039559I
a = 1.53412 + 1.58546I
b = 0.370669 − 1.035590I
−5.51949 + 1.85437I 0
u = −1.386050 − 0.039559I
a = −0.470371 − 0.137165I
b = −1.43986 − 0.40976I
−5.51949 − 1.85437I 0
u = −1.386050 − 0.039559I
a = 1.53412 − 1.58546I
b = 0.370669 + 1.035590I
−5.51949 − 1.85437I 0
u = 1.387900 + 0.064924I
a = −0.983235 + 0.686959I
b = −0.77404 − 1.32545I
−2.42366 − 5.71620I 0
u = 1.387900 + 0.064924I
a = 1.68695 + 1.28000I
b = 0.303534 − 0.933624I
−2.42366 − 5.71620I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.387900 − 0.064924I
a = −0.983235 − 0.686959I
b = −0.77404 + 1.32545I
−2.42366 + 5.71620I 0
u = 1.387900 − 0.064924I
a = 1.68695 − 1.28000I
b = 0.303534 + 0.933624I
−2.42366 + 5.71620I 0
u = 0.225296 + 0.549556I
a = 0.905062 − 0.259449I
b = −0.570153 − 0.065197I
3.94023 − 0.36163I −6.60083 + 2.19067I
u = 0.225296 + 0.549556I
a = 0.42046 − 2.13735I
b = −0.288357 + 1.170460I
3.94023 − 0.36163I −6.60083 + 2.19067I
u = 0.225296 − 0.549556I
a = 0.905062 + 0.259449I
b = −0.570153 + 0.065197I
3.94023 + 0.36163I −6.60083 − 2.19067I
u = 0.225296 − 0.549556I
a = 0.42046 + 2.13735I
b = −0.288357 − 1.170460I
3.94023 + 0.36163I −6.60083 − 2.19067I
u = −1.386690 + 0.269417I
a = −0.422386 − 0.146904I
b = −1.216850 − 0.506933I
−6.24126 + 4.08987I 0
u = −1.386690 + 0.269417I
a = 0.69726 + 1.42412I
b = 0.456342 − 0.987921I
−6.24126 + 4.08987I 0
u = −1.386690 − 0.269417I
a = −0.422386 + 0.146904I
b = −1.216850 + 0.506933I
−6.24126 − 4.08987I 0
u = −1.386690 − 0.269417I
a = 0.69726 − 1.42412I
b = 0.456342 + 0.987921I
−6.24126 − 4.08987I 0
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.536397 + 0.236810I
a = −1.26961 − 1.53747I
b = −0.213339 − 1.096540I
4.05157 − 6.54678I −9.8538 + 10.2390I
u = 0.536397 + 0.236810I
a = 1.08706 − 1.94734I
b = 0.49841 + 1.34996I
4.05157 − 6.54678I −9.8538 + 10.2390I
u = 0.536397 − 0.236810I
a = −1.26961 + 1.53747I
b = −0.213339 + 1.096540I
4.05157 + 6.54678I −9.8538 − 10.2390I
u = 0.536397 − 0.236810I
a = 1.08706 + 1.94734I
b = 0.49841 − 1.34996I
4.05157 + 6.54678I −9.8538 − 10.2390I
u = 0.126349 + 0.501505I
a = 0.133217 + 0.639727I
b = 0.878362 − 0.065344I
−1.43716 − 0.99063I −13.8892 + 7.3873I
u = 0.126349 + 0.501505I
a = 0.54521 + 2.88272I
b = −0.256700 − 0.705954I
−1.43716 − 0.99063I −13.8892 + 7.3873I
u = 0.126349 − 0.501505I
a = 0.133217 − 0.639727I
b = 0.878362 + 0.065344I
−1.43716 + 0.99063I −13.8892 − 7.3873I
u = 0.126349 − 0.501505I
a = 0.54521 − 2.88272I
b = −0.256700 + 0.705954I
−1.43716 + 0.99063I −13.8892 − 7.3873I
u = 1.52074 + 0.01580I
a = −0.266906 + 0.895049I
b = 0.111980 + 0.556616I
−7.32030 − 0.96544I 0
u = 1.52074 + 0.01580I
a = −0.443060 + 0.172960I
b = −1.240360 + 0.064281I
−7.32030 − 0.96544I 0
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.52074 − 0.01580I
a = −0.266906 − 0.895049I
b = 0.111980 − 0.556616I
−7.32030 + 0.96544I 0
u = 1.52074 − 0.01580I
a = −0.443060 − 0.172960I
b = −1.240360 − 0.064281I
−7.32030 + 0.96544I 0
u = −1.52714 + 0.06478I
a = −1.35128 − 0.61695I
b = −0.444453 + 1.001100I
−5.07203 + 4.49506I 0
u = −1.52714 + 0.06478I
a = −0.383694 − 0.233764I
b = −0.746188 + 0.730758I
−5.07203 + 4.49506I 0
u = −1.52714 − 0.06478I
a = −1.35128 + 0.61695I
b = −0.444453 − 1.001100I
−5.07203 − 4.49506I 0
u = −1.52714 − 0.06478I
a = −0.383694 + 0.233764I
b = −0.746188 − 0.730758I
−5.07203 − 4.49506I 0
u = −1.53811 + 0.10456I
a = −0.826037 − 0.762359I
b = −0.69779 + 1.43777I
−2.93955 + 7.97841I 0
u = −1.53811 + 0.10456I
a = 0.784100 − 1.006170I
b = 0.193292 − 0.848073I
−2.93955 + 7.97841I 0
u = −1.53811 − 0.10456I
a = −0.826037 + 0.762359I
b = −0.69779 − 1.43777I
−2.93955 − 7.97841I 0
u = −1.53811 − 0.10456I
a = 0.784100 + 1.006170I
b = 0.193292 + 0.848073I
−2.93955 − 7.97841I 0
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.51977 + 0.26825I
a = 1.16431 + 0.99467I
b = 0.634096 − 1.239720I
−4.16439 + 12.76640I 0
u = −1.51977 + 0.26825I
a = 0.340713 + 0.273669I
b = 1.185500 + 0.302967I
−4.16439 + 12.76640I 0
u = −1.51977 − 0.26825I
a = 1.16431 − 0.99467I
b = 0.634096 + 1.239720I
−4.16439 − 12.76640I 0
u = −1.51977 − 0.26825I
a = 0.340713 − 0.273669I
b = 1.185500 − 0.302967I
−4.16439 − 12.76640I 0
u = 1.54072 + 0.14118I
a = −0.481819 + 0.127682I
b = −1.081290 + 0.463123I
−7.70356 − 0.46262I 0
u = 1.54072 + 0.14118I
a = −0.252295 + 0.047124I
b = 0.322557 − 0.514598I
−7.70356 − 0.46262I 0
u = 1.54072 − 0.14118I
a = −0.481819 − 0.127682I
b = −1.081290 − 0.463123I
−7.70356 + 0.46262I 0
u = 1.54072 − 0.14118I
a = −0.252295 − 0.047124I
b = 0.322557 + 0.514598I
−7.70356 + 0.46262I 0
u = 1.50018 + 0.38684I
a = −0.958249 + 0.844891I
b = −0.70633 − 1.24190I
−3.69123 − 10.85860I 0
u = 1.50018 + 0.38684I
a = 0.76469 − 1.24419I
b = 0.485508 + 0.989403I
−3.69123 − 10.85860I 0
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.50018 − 0.38684I
a = −0.958249 − 0.844891I
b = −0.70633 + 1.24190I
−3.69123 + 10.85860I 0
u = 1.50018 − 0.38684I
a = 0.76469 + 1.24419I
b = 0.485508 − 0.989403I
−3.69123 + 10.85860I 0
u = −1.56273 + 0.23862I
a = −0.996306 − 0.820496I
b = −0.651483 + 1.225350I
−5.09742 + 6.69470I 0
u = −1.56273 + 0.23862I
a = 0.0205085 − 0.0612444I
b = 0.544425 + 0.509778I
−5.09742 + 6.69470I 0
u = −1.56273 − 0.23862I
a = −0.996306 + 0.820496I
b = −0.651483 − 1.225350I
−5.09742 − 6.69470I 0
u = −1.56273 − 0.23862I
a = 0.0205085 + 0.0612444I
b = 0.544425 − 0.509778I
−5.09742 − 6.69470I 0
u = 0.135314 + 0.346844I
a = −1.19090 + 2.30647I
b = 0.554346 − 1.164890I
2.04910 + 4.63068I −15.3685 − 1.9194I
u = 0.135314 + 0.346844I
a = −0.57382 − 4.23784I
b = −0.013052 − 0.468528I
2.04910 + 4.63068I −15.3685 − 1.9194I
u = 0.135314 − 0.346844I
a = −1.19090 − 2.30647I
b = 0.554346 + 1.164890I
2.04910 − 4.63068I −15.3685 + 1.9194I
u = 0.135314 − 0.346844I
a = −0.57382 + 4.23784I
b = −0.013052 + 0.468528I
2.04910 − 4.63068I −15.3685 + 1.9194I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.363495
a = 3.65772 + 1.37528I
b = −0.276741 − 0.830004I
4.58058 −5.80200
u = 0.363495
a = 3.65772 − 1.37528I
b = −0.276741 + 0.830004I
4.58058 −5.80200
u = −1.71593 + 0.24905I
a = −0.594291 − 0.975640I
b = −0.268549 + 0.897332I
−3.75907 + 0.40062I 0
u = −1.71593 + 0.24905I
a = −0.260538 + 0.379014I
b = −0.322443 − 0.866343I
−3.75907 + 0.40062I 0
u = −1.71593 − 0.24905I
a = −0.594291 + 0.975640I
b = −0.268549 − 0.897332I
−3.75907 − 0.40062I 0
u = −1.71593 − 0.24905I
a = −0.260538 − 0.379014I
b = −0.322443 + 0.866343I
−3.75907 − 0.40062I 0
u = −0.150877 + 0.151461I
a = 1.133190 − 0.604556I
b = 1.231950 + 0.223344I
−1.06328 − 1.24128I −32.8326 + 10.3421I
u = −0.150877 + 0.151461I
a = 8.35588 + 0.45585I
b = −0.249094 − 0.839602I
−1.06328 − 1.24128I −32.8326 + 10.3421I
u = −0.150877 − 0.151461I
a = 1.133190 + 0.604556I
b = 1.231950 − 0.223344I
−1.06328 + 1.24128I −32.8326 − 10.3421I
u = −0.150877 − 0.151461I
a = 8.35588 − 0.45585I
b = −0.249094 + 0.839602I
−1.06328 + 1.24128I −32.8326 − 10.3421I
22
III. I
u
3
= h−u
7
+ 5u
5
− 7u
3
+ 2u
2
+ b − 1, u
7
− 5u
5
+ 7u
3
− 2u
2
+ a +
2, u
8
− u
7
− 5u
6
+ 5u
5
+ 7u
4
− 8u
3
+ 2u
2
− u − 1i
(i) Arc colorings
a
5
=
0
u
a
9
=
1
0
a
10
=
1
u
2
a
6
=
−u
−u
3
+ u
a
1
=
−u
7
+ 5u
5
− 7u
3
+ 2u
2
− 2
u
7
− 5u
5
+ 7u
3
− 2u
2
+ 1
a
11
=
−u
2
+ 1
−u
4
+ 2u
2
a
8
=
2u
7
+ u
6
− 9u
5
− 3u
4
+ 12u
3
− u
2
− u + 2
−u
7
− u
6
+ 4u
5
+ 3u
4
− 5u
3
− u
2
+ u
a
4
=
−u
7
− u
6
+ 4u
5
+ 4u
4
− 3u
3
− 2u
2
− 3u − 2
2u
7
+ u
6
− 8u
5
− 2u
4
+ 8u
3
− 4u
2
+ 4u + 2
a
2
=
u
7
− 4u
5
+ u
4
+ 3u
3
− 4u
2
+ 5u
−u
7
+ 4u
5
− u
4
− 4u
3
+ 4u
2
− 2u − 1
a
7
=
−u
7
− u
6
+ 4u
5
+ 4u
4
− 3u
3
− 3u
2
− 4u
−2u
7
− u
6
+ 9u
5
+ 3u
4
− 12u
3
+ u
2
− 1
a
12
=
−1
u
7
− 5u
5
+ 7u
3
− 2u
2
+ 1
a
3
=
u
7
− 5u
5
+ 7u
3
− u
2
+ u − 1
u
7
− 5u
5
+ 7u
3
− 2u
2
+ u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −11u
7
− 9u
6
+ 48u
5
+ 36u
4
− 55u
3
− 25u
2
− 9u − 23
23
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
u
8
− u
7
+ u
6
+ 3u
4
− 2u
3
− u
2
− u + 1
c
2
, c
8
u
8
+ u
7
+ 4u
6
+ 3u
5
+ 5u
4
+ 3u
3
+ u
2
− 1
c
3
u
8
+ 6u
7
+ 23u
6
+ 61u
5
+ 109u
4
+ 132u
3
+ 96u
2
+ 30u + 1
c
4
, c
7
u
8
− u
7
− 3u
6
+ 4u
5
+ 5u
4
− 3u
3
− u
2
+ 2u − 1
c
5
u
8
+ u
7
− 5u
6
− 5u
5
+ 7u
4
+ 8u
3
+ 2u
2
+ u − 1
c
6
, c
12
u
8
− u
7
+ 4u
6
− 3u
5
+ 5u
4
− 3u
3
+ u
2
− 1
c
9
, c
10
u
8
− u
7
− 5u
6
+ 5u
5
+ 7u
4
− 8u
3
+ 2u
2
− u − 1
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
y
8
+ y
7
+ 7y
6
+ 7y
4
− 8y
3
+ 3y
2
− 3y + 1
c
2
, c
6
, c
8
c
12
y
8
+ 7y
7
+ 20y
6
+ 27y
5
+ 13y
4
− 7y
3
− 9y
2
− 2y + 1
c
3
y
8
+ 10y
7
+ 15y
6
− 99y
5
− 165y
4
− 110y
3
+ 1514y
2
− 708y + 1
c
4
, c
7
y
8
− 7y
7
+ 27y
6
− 54y
5
+ 57y
4
− 29y
3
+ 3y
2
− 2y + 1
c
5
, c
9
, c
10
y
8
− 11y
7
+ 49y
6
− 107y
5
+ 105y
4
− 16y
3
− 26y
2
− 5y + 1
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.42109 + 0.15850I
a = −0.66460 + 1.39192I
b = −0.33540 − 1.39192I
0.69150 − 8.08100I −14.1906 + 8.8184I
u = 1.42109 − 0.15850I
a = −0.66460 − 1.39192I
b = −0.33540 + 1.39192I
0.69150 + 8.08100I −14.1906 − 8.8184I
u = 0.155711 + 0.547425I
a = −1.28585 + 1.25857I
b = 0.285850 − 1.258570I
5.31999 + 5.75968I −5.35155 − 5.59050I
u = 0.155711 − 0.547425I
a = −1.28585 − 1.25857I
b = 0.285850 + 1.258570I
5.31999 − 5.75968I −5.35155 + 5.59050I
u = 1.50317
a = −0.224711
b = −0.775289
−8.35816 −22.2230
u = −0.348592
a = −1.48556
b = 0.485561
−2.02635 −20.2960
u = −1.65409 + 0.38144I
a = −0.694416 − 0.827388I
b = −0.305584 + 0.827388I
−4.10911 + 2.85853I −18.1985 + 0.2620I
u = −1.65409 − 0.38144I
a = −0.694416 + 0.827388I
b = −0.305584 − 0.827388I
−4.10911 − 2.85853I −18.1985 − 0.2620I
26
IV.
I
u
4
= h5u
14
a−u
14
+· · ·−a−6, −u
14
a−u
13
a+· · ·+5a+1, u
15
+u
14
+· · ·−2u−1i
(i) Arc colorings
a
5
=
0
u
a
9
=
1
0
a
10
=
1
u
2
a
6
=
−u
−u
3
+ u
a
1
=
a
−
5
4
u
14
a +
1
4
u
14
+ ··· +
1
4
a +
3
2
a
11
=
−u
2
+ 1
−u
4
+ 2u
2
a
8
=
5
4
u
14
a +
1
2
u
14
+ ··· −
1
2
a −
1
4
−
3
2
u
14
a − u
14
+ ··· + a −
1
2
a
4
=
−
1
2
u
14
a − u
14
+ ··· + a +
1
2
1
2
u
14
a − u
14
+ ··· + a −
1
2
a
2
=
1
4
u
14
a + u
14
+ ··· + a +
1
4
−
1
2
u
14
a −
3
4
u
14
+ ··· +
1
4
a +
5
4
a
7
=
5
4
u
14
a −
7
4
u
14
+ ··· −
3
4
a −
7
4
u
−
1
2
u
14
a −
5
4
u
14
+ ··· −
1
4
a +
3
4
a
12
=
−
5
4
u
14
a +
1
4
u
14
+ ··· +
5
4
a +
3
2
−
5
4
u
14
a +
1
4
u
14
+ ··· +
1
4
a +
3
2
a
3
=
3
4
u
14
a +
1
4
u
14
+ ··· +
1
4
a +
1
2
3
4
u
14
a +
1
4
u
14
+ ··· +
1
4
a −
1
2
(ii) Obstruction class = 1
(iii) Cusp Shapes = 6u
14
− 3u
13
− 56u
12
+ 17u
11
+ 204u
10
− 29u
9
− 354u
8
+ 13u
7
+
273u
6
− 20u
5
− 39u
4
+ 61u
3
− 45u
2
− 33u + 3
27
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
11
u
30
− 3u
29
+ ··· − 3u + 1
c
2
, c
8
u
30
+ 2u
29
+ ··· + 8u + 4
c
3
(u
15
− 4u
14
+ ··· + 7u − 1)
2
c
4
, c
7
u
30
+ 2u
29
+ ··· + 13u + 19
c
5
(u
15
− u
14
+ ··· − 2u + 1)
2
c
6
, c
12
u
30
− 2u
29
+ ··· − 8u + 4
c
9
, c
10
(u
15
+ u
14
+ ··· − 2u − 1)
2
28
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
11
y
30
+ 11y
29
+ ··· + 17y + 1
c
2
, c
6
, c
8
c
12
y
30
+ 10y
29
+ ··· + 304y + 16
c
3
(y
15
+ 12y
13
+ ··· + 13y −1)
2
c
4
, c
7
y
30
− 12y
29
+ ··· + 3593y + 361
c
5
, c
9
, c
10
(y
15
− 19y
14
+ ··· − 10y −1)
2
29
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.970278 + 0.415597I
a = 1.40021 + 0.59761I
b = 0.640498 − 0.998111I
3.71712 + 1.60117I −9.64962 − 4.05647I
u = −0.970278 + 0.415597I
a = 0.86440 + 1.27791I
b = −0.232229 − 0.910622I
3.71712 + 1.60117I −9.64962 − 4.05647I
u = −0.970278 − 0.415597I
a = 1.40021 − 0.59761I
b = 0.640498 + 0.998111I
3.71712 − 1.60117I −9.64962 + 4.05647I
u = −0.970278 − 0.415597I
a = 0.86440 − 1.27791I
b = −0.232229 + 0.910622I
3.71712 − 1.60117I −9.64962 + 4.05647I
u = 0.897239 + 0.071943I
a = 0.702350 + 0.612636I
b = −0.294365 − 1.063190I
4.32021 − 3.79093I −7.17450 + 4.38882I
u = 0.897239 + 0.071943I
a = 1.40812 − 0.53587I
b = 0.633328 + 1.157010I
4.32021 − 3.79093I −7.17450 + 4.38882I
u = 0.897239 − 0.071943I
a = 0.702350 − 0.612636I
b = −0.294365 + 1.063190I
4.32021 + 3.79093I −7.17450 − 4.38882I
u = 0.897239 − 0.071943I
a = 1.40812 + 0.53587I
b = 0.633328 − 1.157010I
4.32021 + 3.79093I −7.17450 − 4.38882I
u = 0.149563 + 0.663506I
a = 0.21462 − 1.77408I
b = 0.553384 + 1.232900I
2.66400 − 4.93406I −4.77378 + 5.63860I
u = 0.149563 + 0.663506I
a = −1.57114 + 2.40267I
b = −0.042984 − 0.753573I
2.66400 − 4.93406I −4.77378 + 5.63860I
30
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 0.149563 − 0.663506I
a = 0.21462 + 1.77408I
b = 0.553384 − 1.232900I
2.66400 + 4.93406I −4.77378 − 5.63860I
u = 0.149563 − 0.663506I
a = −1.57114 − 2.40267I
b = −0.042984 + 0.753573I
2.66400 + 4.93406I −4.77378 − 5.63860I
u = −1.42671 + 0.14056I
a = −0.514801 − 0.142774I
b = −1.159360 + 0.098889I
−5.56111 + 2.90302I −13.03720 − 4.01766I
u = −1.42671 + 0.14056I
a = −1.17044 − 1.41434I
b = −0.363014 + 1.007980I
−5.56111 + 2.90302I −13.03720 − 4.01766I
u = −1.42671 − 0.14056I
a = −0.514801 + 0.142774I
b = −1.159360 − 0.098889I
−5.56111 − 2.90302I −13.03720 + 4.01766I
u = −1.42671 − 0.14056I
a = −1.17044 + 1.41434I
b = −0.363014 − 1.007980I
−5.56111 − 2.90302I −13.03720 + 4.01766I
u = −1.50914 + 0.14421I
a = −0.879156 − 0.697821I
b = −0.74401 + 1.37126I
−3.31494 + 7.45073I −15.0295 − 2.8762I
u = −1.50914 + 0.14421I
a = 1.134480 − 0.669507I
b = 0.135556 − 0.641151I
−3.31494 + 7.45073I −15.0295 − 2.8762I
u = −1.50914 − 0.14421I
a = −0.879156 + 0.697821I
b = −0.74401 − 1.37126I
−3.31494 − 7.45073I −15.0295 + 2.8762I
u = −1.50914 − 0.14421I
a = 1.134480 + 0.669507I
b = 0.135556 + 0.641151I
−3.31494 − 7.45073I −15.0295 + 2.8762I
31
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = 1.53491 + 0.08290I
a = 0.266532 + 0.628795I
b = −0.168449 + 0.705580I
−6.97650 − 0.29121I −8.82689 − 2.07026I
u = 1.53491 + 0.08290I
a = −0.499034 + 0.145586I
b = −1.254380 + 0.268102I
−6.97650 − 0.29121I −8.82689 − 2.07026I
u = 1.53491 − 0.08290I
a = 0.266532 − 0.628795I
b = −0.168449 − 0.705580I
−6.97650 + 0.29121I −8.82689 + 2.07026I
u = 1.53491 − 0.08290I
a = −0.499034 − 0.145586I
b = −1.254380 − 0.268102I
−6.97650 + 0.29121I −8.82689 + 2.07026I
u = −0.126524 + 0.311133I
a = −0.065934 + 0.199718I
b = 1.305940 + 0.231688I
−0.91271 − 1.17975I 13.3244 − 8.3971I
u = −0.126524 + 0.311133I
a = −4.92963 − 2.60498I
b = 0.243252 + 0.861223I
−0.91271 − 1.17975I 13.3244 − 8.3971I
u = −0.126524 − 0.311133I
a = −0.065934 − 0.199718I
b = 1.305940 − 0.231688I
−0.91271 + 1.17975I 13.3244 + 8.3971I
u = −0.126524 − 0.311133I
a = −4.92963 + 2.60498I
b = 0.243252 − 0.861223I
−0.91271 + 1.17975I 13.3244 + 8.3971I
u = 1.90188
a = −0.360578 + 0.614754I
b = −0.253166 − 0.820774I
−4.32151 −20.6660
u = 1.90188
a = −0.360578 − 0.614754I
b = −0.253166 + 0.820774I
−4.32151 −20.6660
32
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
11
(u
8
− u
7
+ ··· − u + 1)(u
30
− 3u
29
+ ··· − 3u + 1)
· (u
35
+ u
34
+ ··· + 7u + 1)(u
110
− 10u
109
+ ··· − 62239u + 5573)
c
2
, c
8
(u
8
+ u
7
+ ··· + u
2
− 1)(u
30
+ 2u
29
+ ··· + 8u + 4)
· (u
35
+ u
34
+ ··· + 8u + 4)(u
110
− u
109
+ ··· + 757u + 161)
c
3
(u
8
+ 6u
7
+ 23u
6
+ 61u
5
+ 109u
4
+ 132u
3
+ 96u
2
+ 30u + 1)
· ((u
15
− 4u
14
+ ··· + 7u − 1)
2
)(u
35
+ 19u
34
+ ··· + 3582u + 412)
· (u
55
− 8u
54
+ ··· + u − 1)
2
c
4
, c
7
(u
8
− u
7
− 3u
6
+ 4u
5
+ 5u
4
− 3u
3
− u
2
+ 2u − 1)
· (u
30
+ 2u
29
+ ··· + 13u + 19)(u
35
+ u
34
+ ··· + 4u + 1)
· (u
110
+ 5u
109
+ ··· − 2143u + 1273)
c
5
(u
8
+ u
7
− 5u
6
− 5u
5
+ 7u
4
+ 8u
3
+ 2u
2
+ u − 1)
· ((u
15
− u
14
+ ··· − 2u + 1)
2
)(u
35
− 10u
34
+ ··· + 34u + 20)
· (u
55
+ 4u
54
+ ··· + 3u − 1)
2
c
6
, c
12
(u
8
− u
7
+ ··· + u
2
− 1)(u
30
− 2u
29
+ ··· − 8u + 4)
· (u
35
+ u
34
+ ··· + 8u + 4)(u
110
− u
109
+ ··· + 757u + 161)
c
9
, c
10
(u
8
− u
7
− 5u
6
+ 5u
5
+ 7u
4
− 8u
3
+ 2u
2
− u − 1)
· ((u
15
+ u
14
+ ··· − 2u − 1)
2
)(u
35
− 10u
34
+ ··· + 34u + 20)
· (u
55
+ 4u
54
+ ··· + 3u − 1)
2
33
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
11
(y
8
+ y
7
+ ··· − 3y + 1)(y
30
+ 11y
29
+ ··· + 17y + 1)
· (y
35
+ 25y
34
+ ··· + 29y −1)
· (y
110
+ 18y
109
+ ··· + 573371397y + 31058329)
c
2
, c
6
, c
8
c
12
(y
8
+ 7y
7
+ 20y
6
+ 27y
5
+ 13y
4
− 7y
3
− 9y
2
− 2y + 1)
· (y
30
+ 10y
29
+ ··· + 304y + 16)(y
35
+ 23y
34
+ ··· + 144y −16)
· (y
110
+ 53y
109
+ ··· + 1093301y + 25921)
c
3
(y
8
+ 10y
7
+ 15y
6
− 99y
5
− 165y
4
− 110y
3
+ 1514y
2
− 708y + 1)
· (y
15
+ 12y
13
+ ··· + 13y −1)
2
· (y
35
+ 5y
34
+ ··· + 3024300y −169744)
· (y
55
+ 52y
53
+ ··· − 51y −1)
2
c
4
, c
7
(y
8
− 7y
7
+ 27y
6
− 54y
5
+ 57y
4
− 29y
3
+ 3y
2
− 2y + 1)
· (y
30
− 12y
29
+ ··· + 3593y + 361)(y
35
+ 11y
34
+ ··· − 38y −1)
· (y
110
− 19y
109
+ ··· + 173836323y + 1620529)
c
5
, c
9
, c
10
(y
8
− 11y
7
+ 49y
6
− 107y
5
+ 105y
4
− 16y
3
− 26y
2
− 5y + 1)
· ((y
15
− 19y
14
+ ··· − 10y −1)
2
)(y
35
− 38y
34
+ ··· + 1916y −400)
· (y
55
− 58y
54
+ ··· + y −1)
2
34
