12n
0854
(K12n
0854
)
A knot diagram
1
Linearized knot diagam
4 7 9 11 10 3 11 2 6 1 7 5
Solving Sequence
2,7 3,11
8 9 4 1 6 10 5 12
c
2
c
7
c
8
c
3
c
1
c
6
c
9
c
5
c
12
c
4
, c
10
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h8.39823 × 10
498
u
108
+ 2.41008 × 10
499
u
107
+ ··· + 7.17600 × 10
500
b − 4.55608 × 10
504
,
7.81238 × 10
505
u
108
+ 1.77615 × 10
506
u
107
+ ··· + 2.83788 × 10
507
a − 3.55368 × 10
511
,
u
109
+ 36u
107
+ ··· − 1154036u − 171943i
I
u
2
= h2.24797 × 10
42
u
37
+ 1.61524 × 10
42
u
36
+ ··· + 1.01090 × 10
43
b − 7.15951 × 10
42
,
− 3.29889 × 10
42
u
37
− 5.18067 × 10
42
u
36
+ ··· + 7.07629 × 10
43
a + 2.71417 × 10
43
, u
38
+ u
37
+ ··· + 8u + 7i
* 2 irreducible components of dim
C
= 0, with total 147 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
= h8.40 × 10
498
u
108
+ 2.41 × 10
499
u
107
+ · · · + 7.18 × 10
500
b − 4.56 ×
10
504
, 7.81 × 10
505
u
108
+ 1.78 × 10
506
u
107
+ · · · + 2.84 × 10
507
a − 3.55 ×
10
511
, u
109
+ 36u
107
+ · · · − 1154036u − 171943i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
11
=
−0.0275289u
108
− 0.0625870u
107
+ ··· + 82142.5u + 12522.3
−0.0117032u
108
− 0.0335853u
107
+ ··· + 41138.1u + 6349.05
a
8
=
−0.0285405u
108
+ 0.0104270u
107
+ ··· + 11834.6u + 1173.41
0.00263481u
108
+ 0.0158836u
107
+ ··· − 18487.5u − 2914.67
a
9
=
−0.0311753u
108
− 0.00545660u
107
+ ··· + 30322.1u + 4088.08
0.00263481u
108
+ 0.0158836u
107
+ ··· − 18487.5u − 2914.67
a
4
=
−0.0169095u
108
− 0.131078u
107
+ ··· + 144204.u + 22938.7
−0.0147313u
108
+ 0.0146839u
107
+ ··· − 7112.82u − 1533.36
a
1
=
0.0444190u
108
− 0.0696387u
107
+ ··· + 34828.4u + 6920.06
−0.0314214u
108
+ 0.0150164u
107
+ ··· + 9958.32u + 770.043
a
6
=
u
u
3
+ u
a
10
=
−0.0124119u
108
+ 0.0237295u
107
+ ··· − 13201.6u − 2454.64
−0.0143619u
108
+ 0.0345235u
107
+ ··· − 25103.0u − 4439.04
a
5
=
−0.0342753u
108
− 0.0523315u
107
+ ··· + 77734.8u + 11680.1
−0.00772236u
108
+ 0.0156642u
107
+ ··· − 10128.1u − 1906.46
a
12
=
0.0275289u
108
+ 0.0625870u
107
+ ··· − 82142.5u − 12522.3
−0.0520561u
108
+ 0.00229324u
107
+ ··· + 35822.9u + 4412.34
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.216975u
108
− 0.110555u
107
+ ··· − 47146.8u − 2137.91
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
109
− 9u
108
+ ··· + 76u + 717
c
2
, c
6
u
109
+ 36u
107
+ ··· − 1154036u + 171943
c
3
u
109
+ u
108
+ ··· − 284399u + 14941
c
4
u
109
− 2u
108
+ ··· + 17549u + 277
c
5
, c
9
u
109
+ 46u
107
+ ··· − 4285172u + 1094877
c
7
, c
11
u
109
− u
108
+ ··· − 10183u + 2217
c
8
u
109
− 5u
108
+ ··· + 9551892u + 3400151
c
10
u
109
+ 3u
108
+ ··· + 652u − 23
c
12
u
109
− 3u
108
+ ··· + 3441u + 1219
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
109
− 17y
108
+ ··· + 4144300y −514089
c
2
, c
6
y
109
+ 72y
108
+ ··· − 612883806196y −29564395249
c
3
y
109
+ 63y
108
+ ··· + 3169749553y −223233481
c
4
y
109
+ 18y
108
+ ··· + 99463961y −76729
c
5
, c
9
y
109
+ 92y
108
+ ··· − 34486733431904y −1198755645129
c
7
, c
11
y
109
− 59y
108
+ ··· + 32452411y −4915089
c
8
y
109
− 15y
108
+ ··· + 809760664993586y −11561026822801
c
10
y
109
− 37y
108
+ ··· + 624376y −529
c
12
y
109
− 27y
108
+ ··· − 202910749y −1485961
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.303524 + 0.959372I
a = 1.36417 − 0.74888I
b = 0.312249 + 0.029977I
9.26189 + 2.26190I 0
u = −0.303524 − 0.959372I
a = 1.36417 + 0.74888I
b = 0.312249 − 0.029977I
9.26189 − 2.26190I 0
u = −0.889230 + 0.439652I
a = 1.15134 + 0.89416I
b = 1.57467 − 0.00752I
−4.81066 + 0.03170I 0
u = −0.889230 − 0.439652I
a = 1.15134 − 0.89416I
b = 1.57467 + 0.00752I
−4.81066 − 0.03170I 0
u = −0.149684 + 0.997733I
a = −0.847808 + 0.305336I
b = −0.437320 + 0.557102I
1.51309 − 1.25303I 0
u = −0.149684 − 0.997733I
a = −0.847808 − 0.305336I
b = −0.437320 − 0.557102I
1.51309 + 1.25303I 0
u = −0.273044 + 0.972250I
a = 1.255330 − 0.402290I
b = 0.382982 − 0.444639I
2.33195 + 4.96654I 0
u = −0.273044 − 0.972250I
a = 1.255330 + 0.402290I
b = 0.382982 + 0.444639I
2.33195 − 4.96654I 0
u = 0.078092 + 0.981755I
a = 0.372072 − 1.275790I
b = 1.50482 + 0.55259I
3.66084 − 0.32648I 0
u = 0.078092 − 0.981755I
a = 0.372072 + 1.275790I
b = 1.50482 − 0.55259I
3.66084 + 0.32648I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.875395 + 0.415021I
a = −1.13573 − 0.84326I
b = −1.63212 − 0.10082I
−4.74544 − 6.36143I 0
u = −0.875395 − 0.415021I
a = −1.13573 + 0.84326I
b = −1.63212 + 0.10082I
−4.74544 + 6.36143I 0
u = −0.277502 + 0.994760I
a = −1.42293 + 0.55061I
b = −0.621269 − 0.047157I
9.38262 + 0.15225I 0
u = −0.277502 − 0.994760I
a = −1.42293 − 0.55061I
b = −0.621269 + 0.047157I
9.38262 − 0.15225I 0
u = 0.109733 + 1.027060I
a = −0.210190 + 0.905325I
b = −3.37504 + 1.38734I
1.80139 − 0.26427I 0
u = 0.109733 − 1.027060I
a = −0.210190 − 0.905325I
b = −3.37504 − 1.38734I
1.80139 + 0.26427I 0
u = −0.972023 + 0.374394I
a = −0.955302 − 0.439978I
b = −1.48399 − 0.17642I
2.12306 − 3.00392I 0
u = −0.972023 − 0.374394I
a = −0.955302 + 0.439978I
b = −1.48399 + 0.17642I
2.12306 + 3.00392I 0
u = 0.672917 + 0.679097I
a = −0.92675 + 1.17716I
b = −0.842169 − 0.232879I
−3.66466 + 0.35770I 0
u = 0.672917 − 0.679097I
a = −0.92675 − 1.17716I
b = −0.842169 + 0.232879I
−3.66466 − 0.35770I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.200193 + 1.062610I
a = 0.208302 − 1.108320I
b = 1.10729 + 1.11583I
1.32352 − 3.73779I 0
u = 0.200193 − 1.062610I
a = 0.208302 + 1.108320I
b = 1.10729 − 1.11583I
1.32352 + 3.73779I 0
u = 0.150923 + 0.900392I
a = −0.229702 + 1.212150I
b = −0.91905 − 2.00806I
0.664463 − 0.337928I 0
u = 0.150923 − 0.900392I
a = −0.229702 − 1.212150I
b = −0.91905 + 2.00806I
0.664463 + 0.337928I 0
u = −0.457929 + 0.996062I
a = 0.604808 − 0.784299I
b = 0.028118 + 0.710849I
7.20217 − 1.09591I 0
u = −0.457929 − 0.996062I
a = 0.604808 + 0.784299I
b = 0.028118 − 0.710849I
7.20217 + 1.09591I 0
u = 0.393709 + 1.042330I
a = 0.185641 − 0.420821I
b = −0.77813 + 3.00794I
9.01390 − 6.41979I 0
u = 0.393709 − 1.042330I
a = 0.185641 + 0.420821I
b = −0.77813 − 3.00794I
9.01390 + 6.41979I 0
u = −0.283158 + 1.089750I
a = 0.889536 + 0.836349I
b = 1.62195 − 0.25881I
−1.09610 + 3.53279I 0
u = −0.283158 − 1.089750I
a = 0.889536 − 0.836349I
b = 1.62195 + 0.25881I
−1.09610 − 3.53279I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.309081 + 1.091610I
a = −0.949969 + 0.037189I
b = −1.035930 − 0.530135I
7.76345 + 4.27063I 0
u = −0.309081 − 1.091610I
a = −0.949969 − 0.037189I
b = −1.035930 + 0.530135I
7.76345 − 4.27063I 0
u = 0.270378 + 0.811928I
a = −0.846337 + 0.647452I
b = −1.39858 + 0.34869I
0.72336 − 1.75177I 0
u = 0.270378 − 0.811928I
a = −0.846337 − 0.647452I
b = −1.39858 − 0.34869I
0.72336 + 1.75177I 0
u = 0.025046 + 0.852780I
a = 0.88759 − 1.19182I
b = 1.292320 − 0.093716I
0.15411 + 2.70420I 0
u = 0.025046 − 0.852780I
a = 0.88759 + 1.19182I
b = 1.292320 + 0.093716I
0.15411 − 2.70420I 0
u = −0.280210 + 1.112280I
a = −1.040390 − 0.799126I
b = −1.46813 + 0.18970I
−0.21645 + 9.63542I 0
u = −0.280210 − 1.112280I
a = −1.040390 + 0.799126I
b = −1.46813 − 0.18970I
−0.21645 − 9.63542I 0
u = 0.504827 + 1.074060I
a = −0.200935 + 0.329041I
b = 0.04678 − 2.92414I
8.96311 + 2.52979I 0
u = 0.504827 − 1.074060I
a = −0.200935 − 0.329041I
b = 0.04678 + 2.92414I
8.96311 − 2.52979I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.663656 + 0.437634I
a = −0.199853 − 0.278763I
b = −0.348882 − 0.188836I
4.38372 + 2.19355I 0
u = −0.663656 − 0.437634I
a = −0.199853 + 0.278763I
b = −0.348882 + 0.188836I
4.38372 − 2.19355I 0
u = −0.316796 + 0.713571I
a = −1.17918 + 1.00604I
b = −0.881567 + 0.454717I
1.43940 − 2.47886I 0
u = −0.316796 − 0.713571I
a = −1.17918 − 1.00604I
b = −0.881567 − 0.454717I
1.43940 + 2.47886I 0
u = 1.067020 + 0.604673I
a = 0.962905 − 0.253459I
b = 1.74985 + 0.14641I
−4.88585 − 2.37007I 0
u = 1.067020 − 0.604673I
a = 0.962905 + 0.253459I
b = 1.74985 − 0.14641I
−4.88585 + 2.37007I 0
u = −0.772527 + 0.020882I
a = 1.72282 − 0.07303I
b = 1.51637 + 0.35853I
−0.31062 − 1.51311I 0
u = −0.772527 − 0.020882I
a = 1.72282 + 0.07303I
b = 1.51637 − 0.35853I
−0.31062 + 1.51311I 0
u = 0.775022 + 0.956827I
a = −1.084560 + 0.471628I
b = −1.47152 − 0.24042I
−3.03726 − 5.87728I 0
u = 0.775022 − 0.956827I
a = −1.084560 − 0.471628I
b = −1.47152 + 0.24042I
−3.03726 + 5.87728I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.151010 + 0.458194I
a = −0.536389 − 1.170770I
b = −0.746546 − 0.091402I
3.91226 + 3.76178I 0
u = 1.151010 − 0.458194I
a = −0.536389 + 1.170770I
b = −0.746546 + 0.091402I
3.91226 − 3.76178I 0
u = −0.506061 + 1.146190I
a = −0.850584 − 0.878371I
b = −1.83639 + 0.94288I
−2.40270 + 11.40680I 0
u = −0.506061 − 1.146190I
a = −0.850584 + 0.878371I
b = −1.83639 − 0.94288I
−2.40270 − 11.40680I 0
u = −0.470228 + 1.170700I
a = 0.844448 + 0.887504I
b = 1.89051 − 0.76346I
−2.39140 + 4.86267I 0
u = −0.470228 − 1.170700I
a = 0.844448 − 0.887504I
b = 1.89051 + 0.76346I
−2.39140 − 4.86267I 0
u = 0.020367 + 1.264000I
a = −0.158509 + 0.620147I
b = −0.042012 + 1.371470I
2.18378 − 0.67613I 0
u = 0.020367 − 1.264000I
a = −0.158509 − 0.620147I
b = −0.042012 − 1.371470I
2.18378 + 0.67613I 0
u = 0.788510 + 1.020090I
a = 0.734102 − 0.811935I
b = 1.32026 + 0.51630I
−3.45606 − 4.09090I 0
u = 0.788510 − 1.020090I
a = 0.734102 + 0.811935I
b = 1.32026 − 0.51630I
−3.45606 + 4.09090I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.618633 + 1.210490I
a = −0.760577 − 0.727691I
b = −1.46450 + 0.99172I
4.76534 + 8.82470I 0
u = −0.618633 − 1.210490I
a = −0.760577 + 0.727691I
b = −1.46450 − 0.99172I
4.76534 − 8.82470I 0
u = −0.372480 + 0.504941I
a = −0.52257 − 2.39656I
b = −0.651137 + 0.014558I
−2.14254 − 6.94960I 0
u = −0.372480 − 0.504941I
a = −0.52257 + 2.39656I
b = −0.651137 − 0.014558I
−2.14254 + 6.94960I 0
u = −0.102497 + 0.608643I
a = −0.942242 − 0.035552I
b = −0.411916 + 0.555250I
1.32344 − 1.30831I 0
u = −0.102497 − 0.608643I
a = −0.942242 + 0.035552I
b = −0.411916 − 0.555250I
1.32344 + 1.30831I 0
u = 1.045930 + 0.933846I
a = 1.036920 − 0.728819I
b = 1.46515 + 0.17404I
−3.15443 − 3.77330I 0
u = 1.045930 − 0.933846I
a = 1.036920 + 0.728819I
b = 1.46515 − 0.17404I
−3.15443 + 3.77330I 0
u = 0.664145 + 1.235810I
a = 0.809078 + 0.838757I
b = 0.491161 + 0.267957I
6.50620 − 10.20970I 0
u = 0.664145 − 1.235810I
a = 0.809078 − 0.838757I
b = 0.491161 − 0.267957I
6.50620 + 10.20970I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.88842 + 1.11687I
a = −0.660668 − 0.449424I
b = −1.34661 + 0.78473I
4.82997 + 3.53104I 0
u = −0.88842 − 1.11687I
a = −0.660668 + 0.449424I
b = −1.34661 − 0.78473I
4.82997 − 3.53104I 0
u = −0.53942 + 1.32318I
a = 0.613896 + 0.861401I
b = 1.44054 − 0.84210I
3.67771 + 6.65625I 0
u = −0.53942 − 1.32318I
a = 0.613896 − 0.861401I
b = 1.44054 + 0.84210I
3.67771 − 6.65625I 0
u = −0.20548 + 1.41936I
a = 0.031238 − 0.300635I
b = −0.991342 + 0.167067I
8.23882 + 0.68980I 0
u = −0.20548 − 1.41936I
a = 0.031238 + 0.300635I
b = −0.991342 − 0.167067I
8.23882 − 0.68980I 0
u = −0.350766 + 0.417010I
a = 0.95202 + 2.37027I
b = 0.728670 + 0.008261I
−3.08065 − 0.78537I −5.08726 − 1.72654I
u = −0.350766 − 0.417010I
a = 0.95202 − 2.37027I
b = 0.728670 − 0.008261I
−3.08065 + 0.78537I −5.08726 + 1.72654I
u = 0.507312 + 0.190369I
a = −0.497230 + 1.256420I
b = 0.259100 − 0.104192I
−0.959823 − 0.136425I −10.15518 + 0.60041I
u = 0.507312 − 0.190369I
a = −0.497230 − 1.256420I
b = 0.259100 + 0.104192I
−0.959823 + 0.136425I −10.15518 − 0.60041I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.45615 + 0.10590I
a = −1.009980 + 0.472889I
b = −1.65752 + 0.07813I
−1.12357 + 11.21470I 0
u = 1.45615 − 0.10590I
a = −1.009980 − 0.472889I
b = −1.65752 − 0.07813I
−1.12357 − 11.21470I 0
u = 0.41330 + 1.40396I
a = −0.457416 − 0.549437I
b = −0.352219 − 0.099185I
3.01820 − 3.47797I 0
u = 0.41330 − 1.40396I
a = −0.457416 + 0.549437I
b = −0.352219 + 0.099185I
3.01820 + 3.47797I 0
u = −0.445441 + 0.268888I
a = 0.460371 − 0.878088I
b = 0.276021 − 0.887551I
−0.07159 + 3.78659I −6.00000 − 9.96814I
u = −0.445441 − 0.268888I
a = 0.460371 + 0.878088I
b = 0.276021 + 0.887551I
−0.07159 − 3.78659I −6.00000 + 9.96814I
u = −0.22537 + 1.46787I
a = 0.1091890 − 0.0330745I
b = −0.264833 − 0.166665I
10.50910 + 5.39495I 0
u = −0.22537 − 1.46787I
a = 0.1091890 + 0.0330745I
b = −0.264833 + 0.166665I
10.50910 − 5.39495I 0
u = −0.25943 + 1.48423I
a = 0.066568 + 0.250365I
b = 0.419717 − 0.874249I
5.96819 + 6.25116I 0
u = −0.25943 − 1.48423I
a = 0.066568 − 0.250365I
b = 0.419717 + 0.874249I
5.96819 − 6.25116I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.16176 + 1.53104I
a = 0.224469 − 0.835935I
b = 0.749578 − 0.769398I
5.53575 − 7.10544I 0
u = 0.16176 − 1.53104I
a = 0.224469 + 0.835935I
b = 0.749578 + 0.769398I
5.53575 + 7.10544I 0
u = 0.13989 + 1.53939I
a = −0.101372 − 0.483431I
b = −0.371955 + 0.056625I
3.34619 − 3.46550I 0
u = 0.13989 − 1.53939I
a = −0.101372 + 0.483431I
b = −0.371955 − 0.056625I
3.34619 + 3.46550I 0
u = 1.54672 + 0.08791I
a = 0.754447 − 0.513976I
b = 1.56397 + 0.14143I
−3.36494 + 3.10866I 0
u = 1.54672 − 0.08791I
a = 0.754447 + 0.513976I
b = 1.56397 − 0.14143I
−3.36494 − 3.10866I 0
u = 0.66558 + 1.45280I
a = −0.841722 + 0.611308I
b = −1.94012 − 0.73352I
3.2244 − 18.4927I 0
u = 0.66558 − 1.45280I
a = −0.841722 − 0.611308I
b = −1.94012 + 0.73352I
3.2244 + 18.4927I 0
u = 0.63126 + 1.49413I
a = 0.802241 − 0.511519I
b = 2.06045 + 0.76604I
1.40447 − 10.49290I 0
u = 0.63126 − 1.49413I
a = 0.802241 + 0.511519I
b = 2.06045 − 0.76604I
1.40447 + 10.49290I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.73090 + 1.46637I
a = 0.471206 + 0.643703I
b = 1.37964 − 0.93100I
2.13985 + 7.50654I 0
u = −0.73090 − 1.46637I
a = 0.471206 − 0.643703I
b = 1.37964 + 0.93100I
2.13985 − 7.50654I 0
u = 0.354268
a = −1.36730
b = 0.223063
−0.846043 −12.6520
u = −1.62340 + 0.43079I
a = 0.635269 + 0.076684I
b = 1.97733 − 0.04868I
−1.82525 + 0.68177I 0
u = −1.62340 − 0.43079I
a = 0.635269 − 0.076684I
b = 1.97733 + 0.04868I
−1.82525 − 0.68177I 0
u = 0.16780 + 1.77854I
a = −0.929365 − 0.124459I
b = −2.65053 − 0.11583I
12.18050 − 1.51264I 0
u = 0.16780 − 1.77854I
a = −0.929365 + 0.124459I
b = −2.65053 + 0.11583I
12.18050 + 1.51264I 0
u = 0.37756 + 1.78772I
a = −0.023256 + 0.728223I
b = −0.349684 − 0.122526I
5.37081 + 3.69453I 0
u = 0.37756 − 1.78772I
a = −0.023256 − 0.728223I
b = −0.349684 + 0.122526I
5.37081 − 3.69453I 0
15
II.
I
u
2
= h2.25×10
42
u
37
+1.62×10
42
u
36
+· · ·+1.01×10
43
b−7.16×10
42
, −3.30×
10
42
u
37
−5.18×10
42
u
36
+· · ·+7.08×10
43
a+2.71×10
43
, u
38
+u
37
+· · ·+8u+7i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
11
=
0.0466190u
37
+ 0.0732116u
36
+ ··· + 5.76664u − 0.383558
−0.222373u
37
− 0.159782u
36
+ ··· − 2.93637u + 0.708232
a
8
=
0.151462u
37
+ 0.140190u
36
+ ··· + 4.91559u + 0.874356
−0.157642u
37
− 0.101078u
36
+ ··· − 2.07834u + 0.879533
a
9
=
0.309104u
37
+ 0.241267u
36
+ ··· + 6.99393u − 0.00517696
−0.157642u
37
− 0.101078u
36
+ ··· − 2.07834u + 0.879533
a
4
=
0.247100u
37
+ 0.287249u
36
+ ··· + 6.34348u + 2.52563
0.0695401u
37
+ 0.0646430u
36
+ ··· − 1.50387u + 0.197133
a
1
=
−0.102787u
37
− 0.115542u
36
+ ··· + 0.910959u − 1.00445
−0.0496101u
37
− 0.0749171u
36
+ ··· + 0.366300u − 0.222920
a
6
=
u
u
3
+ u
a
10
=
0.150101u
37
+ 0.132885u
36
+ ··· + 4.99158u + 0.375243
−0.168318u
37
− 0.123865u
36
+ ··· − 3.37263u + 0.905608
a
5
=
−0.172576u
37
− 0.167587u
36
+ ··· − 5.60098u + 0.757942
0.194834u
37
+ 0.440293u
36
+ ··· + 5.87802u + 0.806992
a
12
=
0.0466190u
37
+ 0.0732116u
36
+ ··· + 5.76664u − 0.383558
−0.221349u
37
− 0.154808u
36
+ ··· − 3.47544u + 0.522084
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.0878830u
37
+ 0.0469208u
36
+ ··· + 15.7881u − 3.18550
16
(iv) u-Polynomials at the component
17
Crossings u-Polynomials at each crossing
c
1
u
38
− 4u
37
+ ··· − 20u + 19
c
2
u
38
+ u
37
+ ··· + 8u + 7
c
3
u
38
+ 14u
36
+ ··· + 7u + 1
c
4
u
38
+ 3u
37
+ ··· + 9u + 1
c
5
u
38
+ 3u
37
+ ··· − 4u + 1
c
6
u
38
− u
37
+ ··· − 8u + 7
c
7
u
38
+ 2u
37
+ ··· + u + 1
c
8
u
38
− 4u
37
+ ··· + 168u + 17
c
9
u
38
− 3u
37
+ ··· + 4u + 1
c
10
u
38
+ 12u
37
+ ··· + 12u + 1
c
11
u
38
− 2u
37
+ ··· − u + 1
c
12
u
38
− 15u
36
+ ··· − 115u + 25
18
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
38
− 8y
37
+ ··· + 5908y + 361
c
2
, c
6
y
38
+ 29y
37
+ ··· + 608y + 49
c
3
y
38
+ 28y
37
+ ··· + 7y + 1
c
4
y
38
− 5y
37
+ ··· − 29y + 1
c
5
, c
9
y
38
+ 41y
37
+ ··· − 52y + 1
c
7
, c
11
y
38
− 6y
37
+ ··· + 21y + 1
c
8
y
38
+ 10y
37
+ ··· + 95094y + 289
c
10
y
38
− 20y
37
+ ··· − 32y + 1
c
12
y
38
− 30y
37
+ ··· + 7725y + 625
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.133322 + 1.000280I
a = −0.312853 + 0.940337I
b = −2.71045 + 0.54171I
1.79670 − 0.37443I −8.2124 + 18.2229I
u = 0.133322 − 1.000280I
a = −0.312853 − 0.940337I
b = −2.71045 − 0.54171I
1.79670 + 0.37443I −8.2124 − 18.2229I
u = −0.245111 + 0.908215I
a = 1.52859 − 0.58284I
b = 0.527612 + 0.228137I
9.11911 + 1.85542I −1.99342 + 3.73857I
u = −0.245111 − 0.908215I
a = 1.52859 + 0.58284I
b = 0.527612 − 0.228137I
9.11911 − 1.85542I −1.99342 − 3.73857I
u = 1.097730 + 0.266092I
a = −1.103780 − 0.223861I
b = −1.47602 + 0.00845I
−4.00657 − 2.26250I −7.52626 + 0.76626I
u = 1.097730 − 0.266092I
a = −1.103780 + 0.223861I
b = −1.47602 − 0.00845I
−4.00657 + 2.26250I −7.52626 − 0.76626I
u = −0.223827 + 1.169640I
a = −0.997099 + 0.335187I
b = −0.249086 − 0.244223I
10.14710 + 0.09421I 8.04376 + 1.13836I
u = −0.223827 − 1.169640I
a = −0.997099 − 0.335187I
b = −0.249086 + 0.244223I
10.14710 − 0.09421I 8.04376 − 1.13836I
u = 0.350442 + 1.173200I
a = 0.344584 + 0.103672I
b = 0.85103 − 2.54415I
9.57968 − 6.39112I 7.27778 + 5.20209I
u = 0.350442 − 1.173200I
a = 0.344584 − 0.103672I
b = 0.85103 + 2.54415I
9.57968 + 6.39112I 7.27778 − 5.20209I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.000935 + 1.237830I
a = 0.189569 + 0.656562I
b = 0.76857 + 1.72115I
2.39078 + 0.01786I −2.73638 + 0.66752I
u = −0.000935 − 1.237830I
a = 0.189569 − 0.656562I
b = 0.76857 − 1.72115I
2.39078 − 0.01786I −2.73638 − 0.66752I
u = 0.439936 + 1.183170I
a = −0.229457 − 0.292308I
b = 0.14888 + 2.60320I
9.35163 + 2.81595I 6.96988 − 6.30176I
u = 0.439936 − 1.183170I
a = −0.229457 + 0.292308I
b = 0.14888 − 2.60320I
9.35163 − 2.81595I 6.96988 + 6.30176I
u = 0.845263 + 0.970892I
a = −0.985025 + 0.700226I
b = −1.55819 − 0.30361I
−3.93665 − 3.25428I −10.43858 + 1.28254I
u = 0.845263 − 0.970892I
a = −0.985025 − 0.700226I
b = −1.55819 + 0.30361I
−3.93665 + 3.25428I −10.43858 − 1.28254I
u = 0.521987 + 0.434269I
a = 2.20601 − 0.47071I
b = 1.260940 + 0.277322I
−2.29503 − 8.27917I −4.34310 + 7.45137I
u = 0.521987 − 0.434269I
a = 2.20601 + 0.47071I
b = 1.260940 − 0.277322I
−2.29503 + 8.27917I −4.34310 − 7.45137I
u = 0.033614 + 1.327820I
a = −0.415387 + 0.107961I
b = −0.290433 − 0.722460I
4.38778 − 3.91744I 1.99542 + 5.18399I
u = 0.033614 − 1.327820I
a = −0.415387 − 0.107961I
b = −0.290433 + 0.722460I
4.38778 + 3.91744I 1.99542 − 5.18399I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.374631 + 0.548517I
a = 1.36732 + 1.25692I
b = 0.691859 + 0.569327I
1.25895 + 2.87882I −6.56035 − 10.72828I
u = 0.374631 − 0.548517I
a = 1.36732 − 1.25692I
b = 0.691859 − 0.569327I
1.25895 − 2.87882I −6.56035 + 10.72828I
u = −0.650211 + 0.024846I
a = −0.142264 − 1.380460I
b = 0.766497 + 0.042011I
5.55351 − 2.57256I 0.92510 + 3.42731I
u = −0.650211 − 0.024846I
a = −0.142264 + 1.380460I
b = 0.766497 − 0.042011I
5.55351 + 2.57256I 0.92510 − 3.42731I
u = −0.21302 + 1.44313I
a = −0.305475 − 0.046954I
b = 0.00464002 − 0.01008770I
10.65010 + 5.51871I 15.9371 − 17.8210I
u = −0.21302 − 1.44313I
a = −0.305475 + 0.046954I
b = 0.00464002 + 0.01008770I
10.65010 − 5.51871I 15.9371 + 17.8210I
u = −0.58097 + 1.34775I
a = −0.538939 − 0.759566I
b = −1.39280 + 0.96918I
3.17519 + 7.31849I −2.37996 − 8.30018I
u = −0.58097 − 1.34775I
a = −0.538939 + 0.759566I
b = −1.39280 − 0.96918I
3.17519 − 7.31849I −2.37996 + 8.30018I
u = −0.438561 + 0.238927I
a = −2.39509 − 0.31734I
b = −1.301230 − 0.402596I
−1.08236 − 2.66340I −8.88648 + 4.78970I
u = −0.438561 − 0.238927I
a = −2.39509 + 0.31734I
b = −1.301230 + 0.402596I
−1.08236 + 2.66340I −8.88648 − 4.78970I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.54761 + 0.19640I
a = −0.765393 + 0.026355I
b = −1.94947 + 0.13472I
−1.96576 + 1.19069I 0. − 7.48502I
u = −1.54761 − 0.19640I
a = −0.765393 − 0.026355I
b = −1.94947 − 0.13472I
−1.96576 − 1.19069I 0. + 7.48502I
u = 0.058398 + 0.432391I
a = 0.07424 + 2.10314I
b = 0.726160 − 1.007150I
−0.026476 − 0.475980I −2.94754 + 5.05440I
u = 0.058398 − 0.432391I
a = 0.07424 − 2.10314I
b = 0.726160 + 1.007150I
−0.026476 + 0.475980I −2.94754 − 5.05440I
u = −0.26238 + 1.66704I
a = −0.137991 − 0.684851I
b = −0.503128 + 0.036319I
4.34368 + 6.09031I 0
u = −0.26238 − 1.66704I
a = −0.137991 + 0.684851I
b = −0.503128 − 0.036319I
4.34368 − 6.09031I 0
u = −0.19271 + 1.74669I
a = 0.904154 − 0.119013I
b = 2.68460 − 0.15180I
12.29080 + 1.46245I 0
u = −0.19271 − 1.74669I
a = 0.904154 + 0.119013I
b = 2.68460 + 0.15180I
12.29080 − 1.46245I 0
24
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
38
− 4u
37
+ ··· − 20u + 19)(u
109
− 9u
108
+ ··· + 76u + 717)
c
2
(u
38
+ u
37
+ ··· + 8u + 7)(u
109
+ 36u
107
+ ··· − 1154036u + 171943)
c
3
(u
38
+ 14u
36
+ ··· + 7u + 1)(u
109
+ u
108
+ ··· − 284399u + 14941)
c
4
(u
38
+ 3u
37
+ ··· + 9u + 1)(u
109
− 2u
108
+ ··· + 17549u + 277)
c
5
(u
38
+ 3u
37
+ ··· − 4u + 1)
· (u
109
+ 46u
107
+ ··· − 4285172u + 1094877)
c
6
(u
38
− u
37
+ ··· − 8u + 7)(u
109
+ 36u
107
+ ··· − 1154036u + 171943)
c
7
(u
38
+ 2u
37
+ ··· + u + 1)(u
109
− u
108
+ ··· − 10183u + 2217)
c
8
(u
38
− 4u
37
+ ··· + 168u + 17)
· (u
109
− 5u
108
+ ··· + 9551892u + 3400151)
c
9
(u
38
− 3u
37
+ ··· + 4u + 1)
· (u
109
+ 46u
107
+ ··· − 4285172u + 1094877)
c
10
(u
38
+ 12u
37
+ ··· + 12u + 1)(u
109
+ 3u
108
+ ··· + 652u − 23)
c
11
(u
38
− 2u
37
+ ··· − u + 1)(u
109
− u
108
+ ··· − 10183u + 2217)
c
12
(u
38
− 15u
36
+ ··· − 115u + 25)(u
109
− 3u
108
+ ··· + 3441u + 1219)
25
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
38
− 8y
37
+ ··· + 5908y + 361)
· (y
109
− 17y
108
+ ··· + 4144300y −514089)
c
2
, c
6
(y
38
+ 29y
37
+ ··· + 608y + 49)
· (y
109
+ 72y
108
+ ··· − 612883806196y −29564395249)
c
3
(y
38
+ 28y
37
+ ··· + 7y + 1)
· (y
109
+ 63y
108
+ ··· + 3169749553y −223233481)
c
4
(y
38
− 5y
37
+ ··· − 29y + 1)
· (y
109
+ 18y
108
+ ··· + 99463961y −76729)
c
5
, c
9
(y
38
+ 41y
37
+ ··· − 52y + 1)
· (y
109
+ 92y
108
+ ··· − 34486733431904y −1198755645129)
c
7
, c
11
(y
38
− 6y
37
+ ··· + 21y + 1)
· (y
109
− 59y
108
+ ··· + 32452411y −4915089)
c
8
(y
38
+ 10y
37
+ ··· + 95094y + 289)
· (y
109
− 15y
108
+ ··· + 809760664993586y −11561026822801)
c
10
(y
38
− 20y
37
+ ··· − 32y + 1)(y
109
− 37y
108
+ ··· + 624376y −529)
c
12
(y
38
− 30y
37
+ ··· + 7725y + 625)
· (y
109
− 27y
108
+ ··· − 202910749y −1485961)
26
