11a
326
(K11a
326
)
A knot diagram
1
Linearized knot diagam
10 6 1 8 9 2 4 11 3 7 5
Solving Sequence
3,6
2
7,10
11 1 4 9 5 8
c
2
c
6
c
10
c
1
c
3
c
9
c
5
c
8
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.39236 × 10
318
u
105
− 4.25978 × 10
318
u
104
+ ··· + 4.43640 × 10
318
b − 1.00560 × 10
319
,
− 7.92637 × 10
317
u
105
− 2.62180 × 10
318
u
104
+ ··· + 3.41262 × 10
317
a − 1.84851 × 10
318
,
u
106
+ 3u
105
+ ··· + 19u − 1i
I
u
2
= h311058123u
21
− 50616715u
20
+ ··· + 462381937b − 8437483,
616215260u
21
+ 9916634u
20
+ ··· + 462381937a + 572933757, u
22
+ 6u
20
+ ··· + 3u − 1i
* 2 irreducible components of dim
C
= 0, with total 128 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−1.39 × 10
318
u
105
− 4.26 × 10
318
u
104
+ · · · + 4.44 × 10
318
b − 1.01 ×
10
319
, −7.93 × 10
317
u
105
− 2.62 × 10
318
u
104
+ · · · + 3.41 × 10
317
a − 1.85 ×
10
318
, u
106
+ 3u
105
+ · · · + 19u − 1i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
−u
2
a
7
=
−u
u
3
+ u
a
10
=
2.32267u
105
+ 7.68268u
104
+ ··· − 77.0561u + 5.41671
0.313848u
105
+ 0.960189u
104
+ ··· − 28.1503u + 2.26670
a
11
=
1.94720u
105
+ 6.49173u
104
+ ··· − 80.8911u + 5.76853
0.0903806u
105
+ 0.134570u
104
+ ··· − 25.1663u + 1.97942
a
1
=
0.536095u
105
+ 0.763638u
104
+ ··· − 218.875u + 17.7105
0.0757890u
105
+ 0.130522u
104
+ ··· − 27.0376u + 2.47019
a
4
=
1.74444u
105
+ 5.31471u
104
+ ··· − 231.801u + 15.2966
0.636229u
105
+ 2.00879u
104
+ ··· − 43.7176u + 2.69763
a
9
=
2.00882u
105
+ 6.72249u
104
+ ··· − 48.9057u + 3.15001
0.313848u
105
+ 0.960189u
104
+ ··· − 28.1503u + 2.26670
a
5
=
−1.45668u
105
− 4.17549u
104
+ ··· + 45.8949u − 8.57048
−0.300360u
105
− 1.16893u
104
+ ··· − 4.12988u − 0.387022
a
8
=
−0.131397u
105
+ 0.259568u
104
+ ··· + 251.587u − 13.5190
−0.400537u
105
− 1.31079u
104
+ ··· + 39.8917u − 2.14966
a
8
=
−0.131397u
105
+ 0.259568u
104
+ ··· + 251.587u − 13.5190
−0.400537u
105
− 1.31079u
104
+ ··· + 39.8917u − 2.14966
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.235617u
105
+ 1.09038u
104
+ ··· − 71.7333u + 9.44104
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
106
− 8u
105
+ ··· + 8867u − 3445
c
2
, c
6
u
106
+ 3u
105
+ ··· + 19u − 1
c
3
u
106
− 10u
105
+ ··· − 35874u + 5203
c
4
, c
7
u
106
− 36u
104
+ ··· + 191u − 11
c
5
u
106
− 4u
105
+ ··· − 9831064u + 2445611
c
8
u
106
− 4u
105
+ ··· − 31u − 1
c
9
u
106
− 19u
104
+ ··· − 97525u − 19379
c
10
u
106
− 22u
104
+ ··· + 40099u + 4897
c
11
u
106
+ 2u
105
+ ··· − 5u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
106
− 26y
105
+ ··· − 349655619y + 11868025
c
2
, c
6
y
106
+ 73y
105
+ ··· + 93y + 1
c
3
y
106
+ 12y
105
+ ··· + 307328166y + 27071209
c
4
, c
7
y
106
− 72y
105
+ ··· − 20795y + 121
c
5
y
106
− 62y
105
+ ··· − 243034883661070y + 5981013163321
c
8
y
106
− 8y
105
+ ··· − 345y + 1
c
9
y
106
− 38y
105
+ ··· − 3790134761y + 375545641
c
10
y
106
− 44y
105
+ ··· − 2051676353y + 23980609
c
11
y
106
+ 84y
104
+ ··· − 7y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.004504 + 0.988733I
a = 0.315079 + 0.330456I
b = 0.50078 + 1.51754I
−1.37131 + 2.82623I 0
u = 0.004504 − 0.988733I
a = 0.315079 − 0.330456I
b = 0.50078 − 1.51754I
−1.37131 − 2.82623I 0
u = −0.988852 + 0.225632I
a = 0.526268 + 0.083150I
b = −0.571986 − 0.392628I
−2.95995 + 0.48399I 0
u = −0.988852 − 0.225632I
a = 0.526268 − 0.083150I
b = −0.571986 + 0.392628I
−2.95995 − 0.48399I 0
u = 1.009820 + 0.111821I
a = 0.138217 + 0.405761I
b = 0.954539 + 0.430058I
0.96920 + 3.40112I 0
u = 1.009820 − 0.111821I
a = 0.138217 − 0.405761I
b = 0.954539 − 0.430058I
0.96920 − 3.40112I 0
u = 0.175510 + 0.953433I
a = −1.51425 − 0.81029I
b = −0.389599 − 0.483666I
2.89668 − 0.78297I 0
u = 0.175510 − 0.953433I
a = −1.51425 + 0.81029I
b = −0.389599 + 0.483666I
2.89668 + 0.78297I 0
u = −0.374861 + 0.992057I
a = −2.21826 + 0.55212I
b = −1.99480 − 0.51836I
−0.83829 + 8.68306I 0
u = −0.374861 − 0.992057I
a = −2.21826 − 0.55212I
b = −1.99480 + 0.51836I
−0.83829 − 8.68306I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.432345 + 0.999010I
a = 0.865851 + 0.039909I
b = 0.902968 − 1.032280I
0.74617 − 3.75338I 0
u = 0.432345 − 0.999010I
a = 0.865851 − 0.039909I
b = 0.902968 + 1.032280I
0.74617 + 3.75338I 0
u = 0.016823 + 0.887495I
a = −1.97243 + 1.45010I
b = −0.975184 + 0.646919I
−1.63192 − 3.20943I 0
u = 0.016823 − 0.887495I
a = −1.97243 − 1.45010I
b = −0.975184 − 0.646919I
−1.63192 + 3.20943I 0
u = 0.398783 + 1.042840I
a = 1.58801 − 0.16903I
b = 0.659942 − 0.624132I
−3.88026 − 0.66373I 0
u = 0.398783 − 1.042840I
a = 1.58801 + 0.16903I
b = 0.659942 + 0.624132I
−3.88026 + 0.66373I 0
u = 0.801015 + 0.368704I
a = 0.809671 − 0.532522I
b = −0.097040 − 0.678675I
−1.18628 − 0.97362I 0
u = 0.801015 − 0.368704I
a = 0.809671 + 0.532522I
b = −0.097040 + 0.678675I
−1.18628 + 0.97362I 0
u = −0.701103 + 0.525072I
a = 0.191668 − 1.088290I
b = 1.120550 − 0.725615I
−2.25902 − 4.46440I 0
u = −0.701103 − 0.525072I
a = 0.191668 + 1.088290I
b = 1.120550 + 0.725615I
−2.25902 + 4.46440I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.692760 + 0.496513I
a = 0.078806 + 0.123174I
b = 0.509835 + 0.878093I
−1.04735 + 4.26740I 0
u = −0.692760 − 0.496513I
a = 0.078806 − 0.123174I
b = 0.509835 − 0.878093I
−1.04735 − 4.26740I 0
u = 0.095837 + 1.144680I
a = 0.86253 + 1.42437I
b = 0.510950 − 0.540666I
5.27080 − 3.32416I 0
u = 0.095837 − 1.144680I
a = 0.86253 − 1.42437I
b = 0.510950 + 0.540666I
5.27080 + 3.32416I 0
u = −0.023574 + 1.153230I
a = −1.40824 − 0.41746I
b = −0.90634 − 1.37571I
4.45667 − 0.16513I 0
u = −0.023574 − 1.153230I
a = −1.40824 + 0.41746I
b = −0.90634 + 1.37571I
4.45667 + 0.16513I 0
u = 0.357793 + 1.097090I
a = 2.14597 + 0.07710I
b = 0.567709 − 0.622795I
−0.75293 − 9.92335I 0
u = 0.357793 − 1.097090I
a = 2.14597 − 0.07710I
b = 0.567709 + 0.622795I
−0.75293 + 9.92335I 0
u = 0.758523 + 0.371148I
a = −0.1018870 + 0.0081553I
b = −0.199249 − 0.990047I
−5.96051 − 3.62479I 0
u = 0.758523 − 0.371148I
a = −0.1018870 − 0.0081553I
b = −0.199249 + 0.990047I
−5.96051 + 3.62479I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.163590 + 0.066017I
a = 0.0598488 − 0.0640823I
b = −0.987786 + 0.628731I
3.40089 − 6.62997I 0
u = 1.163590 − 0.066017I
a = 0.0598488 + 0.0640823I
b = −0.987786 − 0.628731I
3.40089 + 6.62997I 0
u = −0.406727 + 1.097530I
a = 1.71248 − 0.36450I
b = 0.625733 + 0.824713I
1.61482 + 3.62256I 0
u = −0.406727 − 1.097530I
a = 1.71248 + 0.36450I
b = 0.625733 − 0.824713I
1.61482 − 3.62256I 0
u = 0.101593 + 1.167760I
a = 1.24334 + 1.44830I
b = 1.44794 + 2.20911I
2.35723 − 8.34056I 0
u = 0.101593 − 1.167760I
a = 1.24334 − 1.44830I
b = 1.44794 − 2.20911I
2.35723 + 8.34056I 0
u = −0.102743 + 1.170900I
a = −1.92213 − 0.58353I
b = −1.151570 + 0.157014I
3.99548 + 3.56708I 0
u = −0.102743 − 1.170900I
a = −1.92213 + 0.58353I
b = −1.151570 − 0.157014I
3.99548 − 3.56708I 0
u = −0.316207 + 1.138560I
a = 1.259310 − 0.221509I
b = 0.882260 + 0.766558I
1.44043 + 2.95357I 0
u = −0.316207 − 1.138560I
a = 1.259310 + 0.221509I
b = 0.882260 − 0.766558I
1.44043 − 2.95357I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.186634 + 1.167290I
a = −2.13192 + 0.37046I
b = −1.77762 + 1.27346I
4.63424 − 5.02298I 0
u = 0.186634 − 1.167290I
a = −2.13192 − 0.37046I
b = −1.77762 − 1.27346I
4.63424 + 5.02298I 0
u = −0.799379 + 0.132865I
a = 0.308761 − 0.530180I
b = −0.757517 + 0.598819I
−1.149220 + 0.819705I −5.79346 − 6.19362I
u = −0.799379 − 0.132865I
a = 0.308761 + 0.530180I
b = −0.757517 − 0.598819I
−1.149220 − 0.819705I −5.79346 + 6.19362I
u = −1.190850 + 0.079603I
a = 0.0103139 − 0.0381641I
b = −0.959119 − 0.684372I
−0.49934 + 12.68120I 0
u = −1.190850 − 0.079603I
a = 0.0103139 + 0.0381641I
b = −0.959119 + 0.684372I
−0.49934 − 12.68120I 0
u = −0.493513 + 1.087520I
a = −0.696366 + 0.086215I
b = −0.105701 + 0.295084I
−0.32843 + 4.85662I 0
u = −0.493513 − 1.087520I
a = −0.696366 − 0.086215I
b = −0.105701 − 0.295084I
−0.32843 − 4.85662I 0
u = −0.600947 + 0.531433I
a = 0.932449 + 0.440471I
b = 0.115276 + 0.584261I
−1.178380 − 0.043868I −5.59483 + 0.I
u = −0.600947 − 0.531433I
a = 0.932449 − 0.440471I
b = 0.115276 − 0.584261I
−1.178380 + 0.043868I −5.59483 + 0.I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.077677 + 1.206180I
a = −1.68619 + 0.30262I
b = −0.977064 − 0.485797I
5.06946 − 0.97532I 0
u = 0.077677 − 1.206180I
a = −1.68619 − 0.30262I
b = −0.977064 + 0.485797I
5.06946 + 0.97532I 0
u = −1.216420 + 0.068761I
a = 0.122226 + 0.112703I
b = 0.768405 + 0.177790I
1.244550 + 0.367853I 0
u = −1.216420 − 0.068761I
a = 0.122226 − 0.112703I
b = 0.768405 − 0.177790I
1.244550 − 0.367853I 0
u = 0.704455 + 0.335430I
a = −0.230257 + 0.755369I
b = −0.496140 − 1.015630I
−3.06693 + 5.91340I −5.33910 − 6.29314I
u = 0.704455 − 0.335430I
a = −0.230257 − 0.755369I
b = −0.496140 + 1.015630I
−3.06693 − 5.91340I −5.33910 + 6.29314I
u = −0.113729 + 1.219750I
a = 1.40995 − 1.15814I
b = 0.726644 + 0.472380I
3.22712 + 8.49581I 0
u = −0.113729 − 1.219750I
a = 1.40995 + 1.15814I
b = 0.726644 − 0.472380I
3.22712 − 8.49581I 0
u = −0.031541 + 1.224940I
a = 1.57808 − 1.10464I
b = 1.83161 − 1.76546I
6.73950 + 2.12275I 0
u = −0.031541 − 1.224940I
a = 1.57808 + 1.10464I
b = 1.83161 + 1.76546I
6.73950 − 2.12275I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.068377 + 1.247170I
a = −1.37853 − 0.87229I
b = −0.771379 + 0.041317I
5.32826 + 0.34844I 0
u = 0.068377 − 1.247170I
a = −1.37853 + 0.87229I
b = −0.771379 − 0.041317I
5.32826 − 0.34844I 0
u = −0.631262 + 0.289324I
a = 0.428728 − 0.158961I
b = −0.306482 + 0.572159I
−1.208000 + 0.625059I −7.37009 − 3.11596I
u = −0.631262 − 0.289324I
a = 0.428728 + 0.158961I
b = −0.306482 − 0.572159I
−1.208000 − 0.625059I −7.37009 + 3.11596I
u = −1.32729
a = 0.326095
b = −1.12870
−2.61066 0
u = 0.065415 + 1.325980I
a = −1.27538 + 0.63900I
b = −0.665910 − 0.084742I
4.68399 − 3.43734I 0
u = 0.065415 − 1.325980I
a = −1.27538 − 0.63900I
b = −0.665910 + 0.084742I
4.68399 + 3.43734I 0
u = −0.054207 + 1.343780I
a = 1.199350 + 0.512320I
b = 1.36559 + 1.06037I
3.20451 + 4.04224I 0
u = −0.054207 − 1.343780I
a = 1.199350 − 0.512320I
b = 1.36559 − 1.06037I
3.20451 − 4.04224I 0
u = 0.529524 + 1.272820I
a = −0.731030 − 0.686544I
b = −0.750585 + 0.301375I
5.06870 − 1.53215I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.529524 − 1.272820I
a = −0.731030 + 0.686544I
b = −0.750585 − 0.301375I
5.06870 + 1.53215I 0
u = 0.311116 + 1.361000I
a = −1.69918 + 0.22324I
b = −1.46602 + 0.99946I
5.69514 − 5.75539I 0
u = 0.311116 − 1.361000I
a = −1.69918 − 0.22324I
b = −1.46602 − 0.99946I
5.69514 + 5.75539I 0
u = −0.470101 + 1.319380I
a = 1.091910 − 0.574427I
b = 1.60385 + 0.08129I
3.09477 + 5.46170I 0
u = −0.470101 − 1.319380I
a = 1.091910 + 0.574427I
b = 1.60385 − 0.08129I
3.09477 − 5.46170I 0
u = 0.568944 + 0.000711I
a = −0.504225 − 0.369748I
b = 0.845681 − 0.675804I
1.13963 − 2.56882I 0.16888 + 2.12016I
u = 0.568944 − 0.000711I
a = −0.504225 + 0.369748I
b = 0.845681 + 0.675804I
1.13963 + 2.56882I 0.16888 − 2.12016I
u = 0.53425 + 1.33824I
a = −1.53258 − 0.24376I
b = −1.43103 + 0.58261I
4.86742 − 9.03960I 0
u = 0.53425 − 1.33824I
a = −1.53258 + 0.24376I
b = −1.43103 − 0.58261I
4.86742 + 9.03960I 0
u = 0.52181 + 1.39852I
a = 1.49604 + 0.13659I
b = 1.37408 − 1.06314I
8.0314 − 12.5109I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.52181 − 1.39852I
a = 1.49604 − 0.13659I
b = 1.37408 + 1.06314I
8.0314 + 12.5109I 0
u = −0.51635 + 1.40331I
a = 1.332900 − 0.183815I
b = 1.52570 + 1.11882I
2.22217 + 6.15586I 0
u = −0.51635 − 1.40331I
a = 1.332900 + 0.183815I
b = 1.52570 − 1.11882I
2.22217 − 6.15586I 0
u = −0.53305 + 1.41069I
a = 1.52613 − 0.08254I
b = 1.39554 + 1.05056I
4.1975 + 18.6893I 0
u = −0.53305 − 1.41069I
a = 1.52613 + 0.08254I
b = 1.39554 − 1.05056I
4.1975 − 18.6893I 0
u = −0.50858 + 1.42395I
a = −1.284310 + 0.199332I
b = −1.189530 − 0.588679I
6.08341 + 6.36617I 0
u = −0.50858 − 1.42395I
a = −1.284310 − 0.199332I
b = −1.189530 + 0.588679I
6.08341 − 6.36617I 0
u = −0.35962 + 1.47520I
a = −1.40447 − 0.34708I
b = −1.23059 − 1.05452I
5.16254 + 8.34567I 0
u = −0.35962 − 1.47520I
a = −1.40447 + 0.34708I
b = −1.23059 + 1.05452I
5.16254 − 8.34567I 0
u = −0.53778 + 1.43935I
a = −0.974047 + 0.276594I
b = −0.931840 − 0.520260I
5.80499 + 6.00260I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.53778 − 1.43935I
a = −0.974047 − 0.276594I
b = −0.931840 + 0.520260I
5.80499 − 6.00260I 0
u = 0.53504 + 1.47340I
a = 0.726951 + 0.400186I
b = 1.097410 − 0.168495I
7.90856 + 0.24319I 0
u = 0.53504 − 1.47340I
a = 0.726951 − 0.400186I
b = 1.097410 + 0.168495I
7.90856 − 0.24319I 0
u = −0.57324 + 1.56752I
a = 0.543694 − 0.357317I
b = 0.882594 + 0.153067I
4.02884 − 5.89856I 0
u = −0.57324 − 1.56752I
a = 0.543694 + 0.357317I
b = 0.882594 − 0.153067I
4.02884 + 5.89856I 0
u = 0.52411 + 1.59798I
a = −0.733847 + 0.202700I
b = −0.700537 + 0.864249I
1.17695 − 8.45492I 0
u = 0.52411 − 1.59798I
a = −0.733847 − 0.202700I
b = −0.700537 − 0.864249I
1.17695 + 8.45492I 0
u = 0.147042 + 0.180501I
a = 5.11515 − 1.84087I
b = −0.702411 + 0.384809I
2.64028 + 2.19448I 0.848936 − 0.928898I
u = 0.147042 − 0.180501I
a = 5.11515 + 1.84087I
b = −0.702411 − 0.384809I
2.64028 − 2.19448I 0.848936 + 0.928898I
u = 0.156701 + 0.151110I
a = −1.21241 + 2.18071I
b = 0.934257 − 0.691915I
1.02581 − 2.96908I 6.06244 + 5.34743I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.156701 − 0.151110I
a = −1.21241 − 2.18071I
b = 0.934257 + 0.691915I
1.02581 + 2.96908I 6.06244 − 5.34743I
u = 0.145461 + 0.038298I
a = 4.87152 − 1.53021I
b = 0.686731 − 0.192242I
1.53431 − 0.08305I 7.93818 − 0.76201I
u = 0.145461 − 0.038298I
a = 4.87152 + 1.53021I
b = 0.686731 + 0.192242I
1.53431 + 0.08305I 7.93818 + 0.76201I
u = −0.0204907 + 0.1082280I
a = −6.53654 + 11.18410I
b = −0.967717 + 0.480107I
−0.61540 + 7.55088I −2.60197 − 3.80824I
u = −0.0204907 − 0.1082280I
a = −6.53654 − 11.18410I
b = −0.967717 − 0.480107I
−0.61540 − 7.55088I −2.60197 + 3.80824I
u = 2.05765
a = −0.0115115
b = 0.377018
−5.34489 0
15
II. I
u
2
= h3.11 × 10
8
u
21
− 5.06 × 10
7
u
20
+ · · · + 4.62 × 10
8
b − 8.44 × 10
6
, 6.16 ×
10
8
u
21
+9.92×10
6
u
20
+· · · +4.62×10
8
a+5.73×10
8
, u
22
+6u
20
+· · · +3u −1i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
−u
2
a
7
=
−u
u
3
+ u
a
10
=
−1.33270u
21
− 0.0214468u
20
+ ··· + 16.3655u − 1.23909
−0.672730u
21
+ 0.109469u
20
+ ··· + 4.81158u + 0.0182479
a
11
=
−0.696047u
21
− 0.161894u
20
+ ··· + 14.7684u − 1.34848
−0.715551u
21
+ 0.0211544u
20
+ ··· + 5.35065u + 0.268079
a
1
=
0.144867u
21
+ 0.978270u
20
+ ··· + 8.34464u − 3.62987
−0.0360791u
21
− 0.0309779u
20
+ ··· + 3.21453u − 1.09114
a
4
=
1.70592u
21
− 0.186649u
20
+ ··· − 13.7543u + 2.74226
0.421055u
21
− 0.0663724u
20
+ ··· − 4.73592u + 0.397875
a
9
=
−0.659968u
21
− 0.130916u
20
+ ··· + 11.5539u − 1.25734
−0.672730u
21
+ 0.109469u
20
+ ··· + 4.81158u + 0.0182479
a
5
=
−0.260687u
21
− 0.718677u
20
+ ··· + 5.80976u + 1.01397
−0.711817u
21
− 0.495571u
20
+ ··· + 2.41133u + 1.03330
a
8
=
−1.53126u
21
− 0.483339u
20
+ ··· + 15.6276u − 2.33995
−0.416122u
21
+ 0.251675u
20
+ ··· + 6.97099u − 0.324031
a
8
=
−1.53126u
21
− 0.483339u
20
+ ··· + 15.6276u − 2.33995
−0.416122u
21
+ 0.251675u
20
+ ··· + 6.97099u − 0.324031
(ii) Obstruction class = 1
(iii) Cusp Shapes =
465461009
462381937
u
21
+
920613219
462381937
u
20
+ ··· −
1642260315
462381937
u −
4184798742
462381937
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
22
− 9u
21
+ ··· − 11u + 1
c
2
u
22
+ 6u
20
+ ··· + 3u − 1
c
3
u
22
+ 3u
21
+ ··· + 2u + 1
c
4
u
22
+ u
21
+ ··· + u − 1
c
5
u
22
− u
21
+ ··· + 2u + 1
c
6
u
22
+ 6u
20
+ ··· − 3u − 1
c
7
u
22
− u
21
+ ··· − u − 1
c
8
u
22
+ 9u
21
+ ··· + 3u − 1
c
9
u
22
− u
21
+ ··· − u − 1
c
10
u
22
+ 3u
21
+ ··· + 21u − 5
c
11
u
22
+ u
21
+ ··· + 3u + 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
22
− 3y
21
+ ··· − 33y + 1
c
2
, c
6
y
22
+ 12y
21
+ ··· + 15y + 1
c
3
y
22
− 13y
21
+ ··· + 8y + 1
c
4
, c
7
y
22
− 21y
21
+ ··· − 9y + 1
c
5
y
22
− 19y
21
+ ··· − 16y + 1
c
8
y
22
− 9y
21
+ ··· − 19y + 1
c
9
y
22
− 11y
21
+ ··· − 19y + 1
c
10
y
22
− 9y
21
+ ··· − 371y + 25
c
11
y
22
+ 3y
21
+ ··· − y + 1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.222746 + 0.907894I
a = 2.03946 + 1.59282I
b = 1.266430 + 0.461280I
0.36060 − 8.25334I 2.83947 + 7.63102I
u = 0.222746 − 0.907894I
a = 2.03946 − 1.59282I
b = 1.266430 − 0.461280I
0.36060 + 8.25334I 2.83947 − 7.63102I
u = −0.246048 + 0.886009I
a = 1.25931 − 1.49417I
b = 0.878783 + 0.282838I
3.59823 + 3.07145I 4.51954 − 4.54839I
u = −0.246048 − 0.886009I
a = 1.25931 + 1.49417I
b = 0.878783 − 0.282838I
3.59823 − 3.07145I 4.51954 + 4.54839I
u = 0.020675 + 1.210050I
a = −0.916160 + 0.468193I
b = −0.742004 − 0.587064I
5.49012 − 1.99940I 7.14235 + 2.66277I
u = 0.020675 − 1.210050I
a = −0.916160 − 0.468193I
b = −0.742004 + 0.587064I
5.49012 + 1.99940I 7.14235 − 2.66277I
u = 0.784102 + 0.072947I
a = 0.678691 − 0.020479I
b = 0.280288 − 0.262690I
0.275443 − 0.077477I −0.515061 − 1.191364I
u = 0.784102 − 0.072947I
a = 0.678691 + 0.020479I
b = 0.280288 + 0.262690I
0.275443 + 0.077477I −0.515061 + 1.191364I
u = 0.060765 + 1.259520I
a = −1.66722 + 0.24295I
b = −1.116410 − 0.119930I
5.20735 − 2.19424I 7.08492 + 2.83841I
u = 0.060765 − 1.259520I
a = −1.66722 − 0.24295I
b = −1.116410 + 0.119930I
5.20735 + 2.19424I 7.08492 − 2.83841I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.685709 + 0.044403I
a = 0.022521 − 0.524665I
b = 0.898671 − 0.630847I
0.20007 − 3.13940I −5.66733 + 4.39177I
u = −0.685709 − 0.044403I
a = 0.022521 + 0.524665I
b = 0.898671 + 0.630847I
0.20007 + 3.13940I −5.66733 − 4.39177I
u = −0.032705 + 1.338780I
a = 0.150619 + 0.181179I
b = −0.143457 + 1.012660I
2.36180 + 6.75752I 2.14760 − 5.66405I
u = −0.032705 − 1.338780I
a = 0.150619 − 0.181179I
b = −0.143457 − 1.012660I
2.36180 − 6.75752I 2.14760 + 5.66405I
u = 1.35835
a = −0.272613
b = 1.06465
−2.53570 47.8660
u = −0.41396 + 1.41951I
a = −1.47000 − 0.10658I
b = −1.28210 − 0.79536I
4.93626 + 7.53570I 0.99061 − 3.53310I
u = −0.41396 − 1.41951I
a = −1.47000 + 0.10658I
b = −1.28210 + 0.79536I
4.93626 − 7.53570I 0.99061 + 3.53310I
u = 0.47367 + 1.40435I
a = −1.280780 − 0.175095I
b = −1.55280 + 0.85270I
2.55491 − 6.09609I 7.79395 + 10.16302I
u = 0.47367 − 1.40435I
a = −1.280780 + 0.175095I
b = −1.55280 − 0.85270I
2.55491 + 6.09609I 7.79395 − 10.16302I
u = 0.131904 + 0.260531I
a = 0.76146 + 3.92106I
b = 0.615723 + 1.055180I
−2.91039 + 2.89939I −7.87662 − 2.74117I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.131904 − 0.260531I
a = 0.76146 − 3.92106I
b = 0.615723 − 1.055180I
−2.91039 − 2.89939I −7.87662 + 2.74117I
u = −1.98925
a = 0.116796
b = −0.270895
−5.42454 −52.7850
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
22
− 9u
21
+ ··· − 11u + 1)(u
106
− 8u
105
+ ··· + 8867u − 3445)
c
2
(u
22
+ 6u
20
+ ··· + 3u − 1)(u
106
+ 3u
105
+ ··· + 19u − 1)
c
3
(u
22
+ 3u
21
+ ··· + 2u + 1)(u
106
− 10u
105
+ ··· − 35874u + 5203)
c
4
(u
22
+ u
21
+ ··· + u − 1)(u
106
− 36u
104
+ ··· + 191u − 11)
c
5
(u
22
− u
21
+ ··· + 2u + 1)(u
106
− 4u
105
+ ··· − 9831064u + 2445611)
c
6
(u
22
+ 6u
20
+ ··· − 3u − 1)(u
106
+ 3u
105
+ ··· + 19u − 1)
c
7
(u
22
− u
21
+ ··· − u − 1)(u
106
− 36u
104
+ ··· + 191u − 11)
c
8
(u
22
+ 9u
21
+ ··· + 3u − 1)(u
106
− 4u
105
+ ··· − 31u − 1)
c
9
(u
22
− u
21
+ ··· − u − 1)(u
106
− 19u
104
+ ··· − 97525u − 19379)
c
10
(u
22
+ 3u
21
+ ··· + 21u − 5)(u
106
− 22u
104
+ ··· + 40099u + 4897)
c
11
(u
22
+ u
21
+ ··· + 3u + 1)(u
106
+ 2u
105
+ ··· − 5u + 1)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
22
− 3y
21
+ ··· − 33y + 1)
· (y
106
− 26y
105
+ ··· − 349655619y + 11868025)
c
2
, c
6
(y
22
+ 12y
21
+ ··· + 15y + 1)(y
106
+ 73y
105
+ ··· + 93y + 1)
c
3
(y
22
− 13y
21
+ ··· + 8y + 1)
· (y
106
+ 12y
105
+ ··· + 307328166y + 27071209)
c
4
, c
7
(y
22
− 21y
21
+ ··· − 9y + 1)(y
106
− 72y
105
+ ··· − 20795y + 121)
c
5
(y
22
− 19y
21
+ ··· − 16y + 1)
· (y
106
− 62y
105
+ ··· − 243034883661070y + 5981013163321)
c
8
(y
22
− 9y
21
+ ··· − 19y + 1)(y
106
− 8y
105
+ ··· − 345y + 1)
c
9
(y
22
− 11y
21
+ ··· − 19y + 1)
· (y
106
− 38y
105
+ ··· − 3790134761y + 375545641)
c
10
(y
22
− 9y
21
+ ··· − 371y + 25)
· (y
106
− 44y
105
+ ··· − 2051676353y + 23980609)
c
11
(y
22
+ 3y
21
+ ··· − y + 1)(y
106
+ 84y
104
+ ··· − 7y + 1)
23
