11a
285
(K11a
285
)
A knot diagram
1
Linearized knot diagam
7 10 1 11 2 9 4 3 6 5 8
Solving Sequence
6,9
7
2,10
3 1 5 11 4 8
c
6
c
9
c
2
c
1
c
5
c
10
c
4
c
8
c
3
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−16908464923u
31
+ 270944948124u
30
+ ··· + 32177743216b + 515902532096,
8847487859u
31
− 158877780023u
30
+ ··· + 32177743216a − 2308582971600,
u
32
− 16u
31
+ ··· − 928u + 64i
I
u
2
= h−3064433897u
10
a
5
+ 2605872u
10
a
4
+ ··· − 83413469a − 386189933,
u
10
a
4
− 2u
10
a
3
+ ··· + 17a + 26,
u
11
+ 3u
10
+ 8u
9
+ 13u
8
+ 18u
7
+ 20u
6
+ 18u
5
+ 15u
4
+ 9u
3
+ 5u
2
+ 2u + 1i
I
u
3
= h66u
17
− 107u
16
+ ··· + 241b + 1451, −1781u
17
+ 8120u
16
+ ··· + 1205a − 4294,
u
18
− 5u
17
+ ··· − 16u + 5i
* 3 irreducible components of dim
C
= 0, with total 116 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−1.69×10
10
u
31
+2.71×10
11
u
30
+· · ·+3.22×10
10
b+5.16×10
11
, 8.85×10
9
u
31
−
1.59 × 10
11
u
30
+ · · · + 3.22 × 10
10
a − 2.31 × 10
12
, u
32
− 16u
31
+ · · · − 928u + 64i
(i) Arc colorings
a
6
=
1
0
a
9
=
0
u
a
7
=
1
u
2
a
2
=
−0.274957u
31
+ 4.93751u
30
+ ··· − 868.606u + 71.7447
0.525471u
31
− 8.42026u
30
+ ··· + 288.189u − 16.0329
a
10
=
−u
u
a
3
=
−0.287683u
31
+ 4.19788u
30
+ ··· − 397.002u + 38.1146
0.538197u
31
− 7.68064u
30
+ ··· − 183.415u + 17.5972
a
1
=
0.130093u
31
− 1.36022u
30
+ ··· − 639.751u + 53.3330
−0.139506u
31
+ 1.15527u
30
+ ··· + 432.165u − 27.7501
a
5
=
0.138364u
31
− 2.12418u
30
+ ··· − 252.671u + 29.4083
−0.0517974u
31
+ 0.687312u
30
+ ··· + 103.202u − 5.54028
a
11
=
0.0893083u
31
− 0.542520u
30
+ ··· − 689.705u + 59.6116
0.785648u
31
− 12.8126u
30
+ ··· + 866.867u − 59.3123
a
4
=
−0.586797u
31
+ 9.44317u
30
+ ··· − 913.295u + 78.7017
1.17594u
31
− 17.7691u
30
+ ··· + 35.8365u + 6.83868
a
8
=
−0.364711u
31
+ 5.33393u
30
+ ··· + 228.342u − 24.1741
0.367792u
31
− 5.49811u
30
+ ··· + 78.9380u − 7.54925
a
8
=
−0.364711u
31
+ 5.33393u
30
+ ··· + 228.342u − 24.1741
0.367792u
31
− 5.49811u
30
+ ··· + 78.9380u − 7.54925
(ii) Obstruction class = −1
(iii) Cusp Shapes
=
30004216785
8044435804
u
31
−
117366210032
2011108951
u
30
+ ··· +
6780572708835
2011108951
u −
518436882606
2011108951
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
8
u
32
+ 7u
30
+ ··· + 9u + 7
c
2
, c
5
u
32
− 3u
30
+ ··· + 2u + 1
c
3
u
32
− 24u
31
+ ··· − 32u + 8
c
4
, c
10
u
32
− 22u
31
+ ··· − 31744u + 2048
c
6
, c
9
u
32
− 16u
31
+ ··· − 928u + 64
c
7
, c
11
u
32
+ 2u
31
+ ··· + u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
8
y
32
+ 14y
31
+ ··· + 255y + 49
c
2
, c
5
y
32
− 6y
31
+ ··· − 4y + 1
c
3
y
32
− 6y
31
+ ··· − 1952y + 64
c
4
, c
10
y
32
+ 18y
31
+ ··· − 13631488y + 4194304
c
6
, c
9
y
32
+ 20y
31
+ ··· − 26112y + 4096
c
7
, c
11
y
32
− 2y
31
+ ··· + 7y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.069081 + 0.991260I
a = −1.59237 − 0.40807I
b = 0.981760 − 0.539794I
2.80061 + 0.23375I 8.56360 + 0.I
u = −0.069081 − 0.991260I
a = −1.59237 + 0.40807I
b = 0.981760 + 0.539794I
2.80061 − 0.23375I 8.56360 + 0.I
u = 0.963662 + 0.325614I
a = −0.260995 + 0.288100I
b = −0.701262 − 0.982261I
−7.41499 + 4.16698I −7.97108 − 5.36120I
u = 0.963662 − 0.325614I
a = −0.260995 − 0.288100I
b = −0.701262 + 0.982261I
−7.41499 − 4.16698I −7.97108 + 5.36120I
u = −0.011548 + 0.974177I
a = 2.17659 + 0.12878I
b = −1.12385 + 1.01238I
−1.44736 − 2.80022I 2.50557 + 2.98682I
u = −0.011548 − 0.974177I
a = 2.17659 − 0.12878I
b = −1.12385 − 1.01238I
−1.44736 + 2.80022I 2.50557 − 2.98682I
u = −0.390961 + 1.072250I
a = 0.784641 + 0.086239I
b = −0.460785 + 0.225412I
0.01128 + 2.43267I 0
u = −0.390961 − 1.072250I
a = 0.784641 − 0.086239I
b = −0.460785 − 0.225412I
0.01128 − 2.43267I 0
u = 1.162110 + 0.060966I
a = −0.050223 − 0.185144I
b = 0.697927 + 1.083640I
−8.5372 + 12.2214I 0
u = 1.162110 − 0.060966I
a = −0.050223 + 0.185144I
b = 0.697927 − 1.083640I
−8.5372 − 12.2214I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.293991 + 1.175380I
a = −1.58096 − 0.16342I
b = 1.089410 − 0.886387I
4.59065 − 3.34198I 0
u = 0.293991 − 1.175380I
a = −1.58096 + 0.16342I
b = 1.089410 + 0.886387I
4.59065 + 3.34198I 0
u = −0.017338 + 0.774002I
a = 0.181918 + 1.187670I
b = −0.631219 − 0.362074I
−1.67497 + 2.82103I 2.81601 − 3.13394I
u = −0.017338 − 0.774002I
a = 0.181918 − 1.187670I
b = −0.631219 + 0.362074I
−1.67497 − 2.82103I 2.81601 + 3.13394I
u = 0.689766 + 1.084060I
a = −0.976191 − 0.334653I
b = 1.023330 − 0.579332I
0.94528 − 2.67893I 0
u = 0.689766 − 1.084060I
a = −0.976191 + 0.334653I
b = 1.023330 + 0.579332I
0.94528 + 2.67893I 0
u = 0.568936 + 1.193230I
a = 1.59592 − 0.00124I
b = −1.16760 + 1.18399I
−4.66339 − 9.68262I 0
u = 0.568936 − 1.193230I
a = 1.59592 + 0.00124I
b = −1.16760 − 1.18399I
−4.66339 + 9.68262I 0
u = 0.215422 + 1.325080I
a = 1.087280 + 0.231048I
b = −0.856658 + 0.452941I
5.14597 + 1.67947I 0
u = 0.215422 − 1.325080I
a = 1.087280 − 0.231048I
b = −0.856658 − 0.452941I
5.14597 − 1.67947I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.380870 + 0.268452I
a = 0.081994 + 0.203286I
b = −0.477164 − 0.458499I
−1.75461 + 5.81807I 0
u = 1.380870 − 0.268452I
a = 0.081994 − 0.203286I
b = −0.477164 + 0.458499I
−1.75461 − 5.81807I 0
u = 0.58508 + 1.34607I
a = −1.62335 + 0.16272I
b = 1.17347 − 1.23003I
−4.5311 − 18.3328I 0
u = 0.58508 − 1.34607I
a = −1.62335 − 0.16272I
b = 1.17347 + 1.23003I
−4.5311 + 18.3328I 0
u = 0.63966 + 1.32722I
a = 1.276940 + 0.097523I
b = −1.102100 + 0.817123I
1.78578 − 12.54500I 0
u = 0.63966 − 1.32722I
a = 1.276940 − 0.097523I
b = −1.102100 − 0.817123I
1.78578 + 12.54500I 0
u = 0.91660 + 1.20168I
a = −0.567740 − 0.360034I
b = 0.833279 − 0.130849I
0.68711 − 4.21425I 0
u = 0.91660 − 1.20168I
a = −0.567740 + 0.360034I
b = 0.833279 + 0.130849I
0.68711 + 4.21425I 0
u = 0.326786 + 0.069422I
a = 0.97596 − 1.03690I
b = 0.615647 − 0.339196I
1.110970 − 0.707958I 6.93245 + 3.29648I
u = 0.326786 − 0.069422I
a = 0.97596 + 1.03690I
b = 0.615647 + 0.339196I
1.110970 + 0.707958I 6.93245 − 3.29648I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.74605 + 1.70600I
a = 0.115579 − 0.368848I
b = 0.105807 + 0.403642I
−3.50340 + 5.56191I 0
u = 0.74605 − 1.70600I
a = 0.115579 + 0.368848I
b = 0.105807 − 0.403642I
−3.50340 − 5.56191I 0
8
II. I
u
2
= h−3.06 × 10
9
a
5
u
10
+ 2.61 × 10
6
a
4
u
10
+ · · · − 8.34 × 10
7
a − 3.86 ×
10
8
, u
10
a
4
− 2u
10
a
3
+ · · · + 17a + 26, u
11
+ 3u
10
+ · · · + 2u + 1i
(i) Arc colorings
a
6
=
1
0
a
9
=
0
u
a
7
=
1
u
2
a
2
=
a
15.4325a
5
u
10
− 0.0131231a
4
u
10
+ ··· + 0.420069a + 1.94485
a
10
=
−u
u
a
3
=
18.7665a
5
u
10
− 0.397589a
4
u
10
+ ··· + 1.28801a − 0.233448
−3.33405a
5
u
10
+ 0.384466a
4
u
10
+ ··· + 0.132055a + 2.17830
a
1
=
−15.4325a
5
u
10
+ 0.0131231a
4
u
10
+ ··· + 0.579931a − 1.94485
−3.33405a
5
u
10
+ 0.384466a
4
u
10
+ ··· + 0.132055a + 2.17830
a
5
=
−9.34723a
5
u
10
− 4.17923a
4
u
10
+ ··· − 1.73376a + 3.01241
−11.6963a
5
u
10
− 5.05510a
4
u
10
+ ··· + 0.553825a − 1.80148
a
11
=
27.6580a
5
u
10
+ 14.2554a
4
u
10
+ ··· − 0.232159a − 1.97655
−11.2026a
5
u
10
− 4.82036a
4
u
10
+ ··· − 1.18924a + 2.53573
a
4
=
10.1325a
5
u
10
− 0.446147a
4
u
10
+ ··· + 0.381091a + 2.69045
−5.54424a
5
u
10
+ 0.245395a
4
u
10
+ ··· + 2.22025a − 2.46057
a
8
=
−77.2129a
5
u
10
− 33.1153a
4
u
10
+ ··· − 0.660872a − 0.00581236
24.7170a
5
u
10
+ 10.4299a
4
u
10
+ ··· + 0.680370a + 0.715387
a
8
=
−77.2129a
5
u
10
− 33.1153a
4
u
10
+ ··· − 0.660872a − 0.00581236
24.7170a
5
u
10
+ 10.4299a
4
u
10
+ ··· + 0.680370a + 0.715387
(ii) Obstruction class = −1
(iii) Cusp Shapes =
4036276680
198570719
u
10
a
5
−
180111700
198570719
u
10
a
4
+ ··· +
284371904
198570719
a −
303474202
198570719
9
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
8
u
66
+ u
65
+ ··· + 345266u + 66193
c
2
, c
5
u
66
− u
65
+ ··· + 30u + 1
c
3
(u
11
+ 5u
10
+ 12u
9
+ 15u
8
+ 8u
7
− 4u
6
− 8u
5
− 3u
4
+ 3u
3
+ 3u
2
− 1)
6
c
4
, c
10
(u
3
+ u
2
+ 2u + 1)
22
c
6
, c
9
(u
11
+ 3u
10
+ ··· + 2u + 1)
6
c
7
, c
11
u
66
+ 3u
65
+ ··· + 2656u + 691
10
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
8
y
66
+ 27y
65
+ ··· + 109594377816y + 4381513249
c
2
, c
5
y
66
+ 15y
65
+ ··· − 104y + 1
c
3
(y
11
− y
10
+ ··· + 6y −1)
6
c
4
, c
10
(y
3
+ 3y
2
+ 2y −1)
22
c
6
, c
9
(y
11
+ 7y
10
+ ··· − 6y −1)
6
c
7
, c
11
y
66
− 25y
65
+ ··· − 19619480y + 477481
11
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.253759 + 0.946686I
a = 0.665253 + 0.858657I
b = −0.283695 + 1.126660I
−4.53141 − 2.38817I −3.94579 + 6.03333I
u = 0.253759 + 0.946686I
a = 0.400243 + 0.809909I
b = −0.50925 − 1.57544I
−0.39383 − 5.21629I 2.58348 + 9.01278I
u = 0.253759 + 0.946686I
a = −2.38419 + 0.38315I
b = 0.697054 − 0.297456I
−0.39383 − 5.21629I 2.58348 + 9.01278I
u = 0.253759 + 0.946686I
a = −1.41166 − 2.08569I
b = 1.62854 + 2.14254I
−4.53141 − 8.04441I −3.94579 + 11.99222I
u = 0.253759 + 0.946686I
a = 2.81803 − 0.28780I
b = −1.78265 + 0.86501I
−4.53141 − 2.38817I −3.94579 + 6.03333I
u = 0.253759 + 0.946686I
a = 2.54048 − 1.25869I
b = 0.001211 + 0.219744I
−4.53141 − 8.04441I −3.94579 + 11.99222I
u = 0.253759 − 0.946686I
a = 0.665253 − 0.858657I
b = −0.283695 − 1.126660I
−4.53141 + 2.38817I −3.94579 − 6.03333I
u = 0.253759 − 0.946686I
a = 0.400243 − 0.809909I
b = −0.50925 + 1.57544I
−0.39383 + 5.21629I 2.58348 − 9.01278I
u = 0.253759 − 0.946686I
a = −2.38419 − 0.38315I
b = 0.697054 + 0.297456I
−0.39383 + 5.21629I 2.58348 − 9.01278I
u = 0.253759 − 0.946686I
a = −1.41166 + 2.08569I
b = 1.62854 − 2.14254I
−4.53141 + 8.04441I −3.94579 − 11.99222I
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.253759 − 0.946686I
a = 2.81803 + 0.28780I
b = −1.78265 − 0.86501I
−4.53141 + 2.38817I −3.94579 − 6.03333I
u = 0.253759 − 0.946686I
a = 2.54048 + 1.25869I
b = 0.001211 − 0.219744I
−4.53141 + 8.04441I −3.94579 − 11.99222I
u = −1.10821
a = −0.326400 + 0.336410I
b = 0.74092 − 1.23654I
−7.04782 − 2.82812I −15.7711 + 2.9794I
u = −1.10821
a = −0.326400 − 0.336410I
b = 0.74092 + 1.23654I
−7.04782 + 2.82812I −15.7711 − 2.9794I
u = −1.10821
a = 0.230392 + 0.070664I
b = −0.121109 − 0.723675I
−2.91024 −9.24183 + 0.I
u = −1.10821
a = 0.230392 − 0.070664I
b = −0.121109 + 0.723675I
−2.91024 −9.24183 + 0.I
u = −1.10821
a = −0.209195 + 0.118260I
b = −0.459379 + 0.997538I
−7.04782 − 2.82812I −15.7711 + 2.9794I
u = −1.10821
a = −0.209195 − 0.118260I
b = −0.459379 − 0.997538I
−7.04782 + 2.82812I −15.7711 − 2.9794I
u = −0.572881 + 0.536287I
a = −0.178622 − 0.995404I
b = −0.391403 − 1.054420I
−5.09306 + 5.07591I −7.14557 − 8.04304I
u = −0.572881 + 0.536287I
a = 1.097050 − 0.676541I
b = −0.663433 − 0.206361I
−0.95548 + 2.24779I −0.61631 − 5.06360I
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.572881 + 0.536287I
a = −1.198410 + 0.589737I
b = −0.430728 + 0.376103I
−5.09306 − 0.58034I −7.14557 − 2.08415I
u = −0.572881 + 0.536287I
a = 0.31292 + 1.45222I
b = 0.41533 − 1.42699I
−5.09306 − 0.58034I −7.14557 − 2.08415I
u = −0.572881 + 0.536287I
a = 0.212405 + 0.031411I
b = 0.225077 + 0.738341I
−0.95548 + 2.24779I −0.61631 − 5.06360I
u = −0.572881 + 0.536287I
a = −1.98001 + 0.45319I
b = 1.42585 + 0.86861I
−5.09306 + 5.07591I −7.14557 − 8.04304I
u = −0.572881 − 0.536287I
a = −0.178622 + 0.995404I
b = −0.391403 + 1.054420I
−5.09306 − 5.07591I −7.14557 + 8.04304I
u = −0.572881 − 0.536287I
a = 1.097050 + 0.676541I
b = −0.663433 + 0.206361I
−0.95548 − 2.24779I −0.61631 + 5.06360I
u = −0.572881 − 0.536287I
a = −1.198410 − 0.589737I
b = −0.430728 − 0.376103I
−5.09306 + 0.58034I −7.14557 + 2.08415I
u = −0.572881 − 0.536287I
a = 0.31292 − 1.45222I
b = 0.41533 + 1.42699I
−5.09306 + 0.58034I −7.14557 + 2.08415I
u = −0.572881 − 0.536287I
a = 0.212405 − 0.031411I
b = 0.225077 − 0.738341I
−0.95548 − 2.24779I −0.61631 + 5.06360I
u = −0.572881 − 0.536287I
a = −1.98001 − 0.45319I
b = 1.42585 − 0.86861I
−5.09306 − 5.07591I −7.14557 + 8.04304I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.290349 + 1.272230I
a = 1.001860 + 0.001395I
b = −1.018330 + 0.058723I
−0.03833 + 2.17262I 4.33084 − 3.24807I
u = −0.290349 + 1.272230I
a = 0.289202 + 0.789207I
b = −0.0716992 − 0.0384158I
−0.03833 + 2.17262I 4.33084 − 3.24807I
u = −0.290349 + 1.272230I
a = 1.178120 − 0.545316I
b = −0.654660 − 0.523893I
4.09925 + 5.00074I 10.86010 − 6.22751I
u = −0.290349 + 1.272230I
a = −1.48808 − 0.39798I
b = 1.20830 + 0.97641I
4.09925 + 5.00074I 10.86010 − 6.22751I
u = −0.290349 + 1.272230I
a = 1.53917 + 0.91664I
b = −1.18366 − 1.77329I
−0.03833 + 7.82886I 4.33084 − 9.20696I
u = −0.290349 + 1.272230I
a = −2.10966 + 0.48565I
b = 0.986642 + 0.701021I
−0.03833 + 7.82886I 4.33084 − 9.20696I
u = −0.290349 − 1.272230I
a = 1.001860 − 0.001395I
b = −1.018330 − 0.058723I
−0.03833 − 2.17262I 4.33084 + 3.24807I
u = −0.290349 − 1.272230I
a = 0.289202 − 0.789207I
b = −0.0716992 + 0.0384158I
−0.03833 − 2.17262I 4.33084 + 3.24807I
u = −0.290349 − 1.272230I
a = 1.178120 + 0.545316I
b = −0.654660 + 0.523893I
4.09925 − 5.00074I 10.86010 + 6.22751I
u = −0.290349 − 1.272230I
a = −1.48808 + 0.39798I
b = 1.20830 − 0.97641I
4.09925 − 5.00074I 10.86010 + 6.22751I
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.290349 − 1.272230I
a = 1.53917 − 0.91664I
b = −1.18366 + 1.77329I
−0.03833 − 7.82886I 4.33084 + 9.20696I
u = −0.290349 − 1.272230I
a = −2.10966 − 0.48565I
b = 0.986642 − 0.701021I
−0.03833 − 7.82886I 4.33084 + 9.20696I
u = 0.234018 + 0.605151I
a = −0.239136 + 0.416643I
b = 0.439230 + 0.995032I
−1.33438 + 2.70441I −0.448108 + 0.083327I
u = 0.234018 + 0.605151I
a = 0.06031 + 1.80790I
b = −0.74955 − 1.66176I
−5.47196 − 0.12371I −6.97737 + 3.06277I
u = 0.234018 + 0.605151I
a = 0.68960 − 1.93675I
b = −0.069788 − 1.004720I
−5.47196 + 5.53253I −6.97737 − 2.89612I
u = 0.234018 + 0.605151I
a = 2.48198 − 0.52970I
b = −0.807451 + 0.451445I
−1.33438 + 2.70441I −0.448108 + 0.083327I
u = 0.234018 + 0.605151I
a = −2.55575 + 0.53661I
b = −0.249729 − 0.382896I
−5.47196 − 0.12371I −6.97737 + 3.06277I
u = 0.234018 + 0.605151I
a = −3.40816 − 0.14493I
b = 1.92508 − 0.31327I
−5.47196 + 5.53253I −6.97737 − 2.89612I
u = 0.234018 − 0.605151I
a = −0.239136 − 0.416643I
b = 0.439230 − 0.995032I
−1.33438 − 2.70441I −0.448108 − 0.083327I
u = 0.234018 − 0.605151I
a = 0.06031 − 1.80790I
b = −0.74955 + 1.66176I
−5.47196 + 0.12371I −6.97737 − 3.06277I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.234018 − 0.605151I
a = 0.68960 + 1.93675I
b = −0.069788 + 1.004720I
−5.47196 − 5.53253I −6.97737 + 2.89612I
u = 0.234018 − 0.605151I
a = 2.48198 + 0.52970I
b = −0.807451 − 0.451445I
−1.33438 − 2.70441I −0.448108 − 0.083327I
u = 0.234018 − 0.605151I
a = −2.55575 − 0.53661I
b = −0.249729 + 0.382896I
−5.47196 + 0.12371I −6.97737 − 3.06277I
u = 0.234018 − 0.605151I
a = −3.40816 + 0.14493I
b = 1.92508 + 0.31327I
−5.47196 − 5.53253I −6.97737 + 2.89612I
u = −0.57044 + 1.34258I
a = −0.907349 − 0.181245I
b = 0.714414 + 0.937746I
1.22875 + 5.92443I −0.15094 − 10.02355I
u = −0.57044 + 1.34258I
a = 0.292115 + 0.758984I
b = −0.042421 − 0.880536I
−2.90883 + 3.09630I −6.68021 − 7.04410I
u = −0.57044 + 1.34258I
a = 1.231120 + 0.121507I
b = −0.84877 − 1.26334I
−2.90883 + 8.75255I −6.6802 − 13.0030I
u = −0.57044 + 1.34258I
a = 1.305750 − 0.011564I
b = −0.905606 − 0.690569I
1.22875 + 5.92443I −0.15094 − 10.02355I
u = −0.57044 + 1.34258I
a = −0.564946 − 0.141760I
b = 0.020758 + 0.404573I
−2.90883 + 3.09630I −6.68021 − 7.04410I
u = −0.57044 + 1.34258I
a = −1.88445 − 0.29051I
b = 1.31490 + 1.16469I
−2.90883 + 8.75255I −6.6802 − 13.0030I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.57044 − 1.34258I
a = −0.907349 + 0.181245I
b = 0.714414 − 0.937746I
1.22875 − 5.92443I −0.15094 + 10.02355I
u = −0.57044 − 1.34258I
a = 0.292115 − 0.758984I
b = −0.042421 + 0.880536I
−2.90883 − 3.09630I −6.68021 + 7.04410I
u = −0.57044 − 1.34258I
a = 1.231120 − 0.121507I
b = −0.84877 + 1.26334I
−2.90883 − 8.75255I −6.6802 + 13.0030I
u = −0.57044 − 1.34258I
a = 1.305750 + 0.011564I
b = −0.905606 + 0.690569I
1.22875 − 5.92443I −0.15094 + 10.02355I
u = −0.57044 − 1.34258I
a = −0.564946 + 0.141760I
b = 0.020758 − 0.404573I
−2.90883 − 3.09630I −6.68021 + 7.04410I
u = −0.57044 − 1.34258I
a = −1.88445 + 0.29051I
b = 1.31490 − 1.16469I
−2.90883 − 8.75255I −6.6802 + 13.0030I
18
III. I
u
3
= h66u
17
− 107u
16
+ · · · + 241b + 1451, −1781u
17
+ 8120u
16
+ · · · +
1205a − 4294, u
18
− 5u
17
+ · · · − 16u + 5i
(i) Arc colorings
a
6
=
1
0
a
9
=
0
u
a
7
=
1
u
2
a
2
=
1.47801u
17
− 6.73859u
16
+ ··· + 0.624066u + 3.56349
−0.273859u
17
+ 0.443983u
16
+ ··· + 16.8091u − 6.02075
a
10
=
−u
u
a
3
=
0.552697u
17
− 2.04149u
16
+ ··· − 9.77842u + 4.93278
0.651452u
17
− 4.25311u
16
+ ··· + 27.2116u − 7.39004
a
1
=
0.756017u
17
− 2.47718u
16
+ ··· − 13.1519u + 6.32697
0.730290u
17
− 4.85062u
16
+ ··· + 30.8423u − 9.27801
a
5
=
−0.270539u
17
+ 1.00830u
16
+ ··· + 9.03568u − 4.42656
−0.199170u
17
+ 1.14108u
16
+ ··· − 10.5934u + 2.34855
a
11
=
0.824896u
17
− 3.76763u
16
+ ··· + 12.7992u − 1.34357
−0.190871u
17
+ 0.551867u
16
+ ··· + 6.47303u − 4.16598
a
4
=
−0.578423u
17
+ 2.66805u
16
+ ··· − 11.2274u + 1.46224
0.356846u
17
− 1.33610u
16
+ ··· + 1.85477u + 1.87552
a
8
=
−0.148548u
17
+ 0.746888u
16
+ ··· − 16.3884u + 5.40996
0.273859u
17
− 1.44398u
16
+ ··· + 9.19087u − 0.979253
a
8
=
−0.148548u
17
+ 0.746888u
16
+ ··· − 16.3884u + 5.40996
0.273859u
17
− 1.44398u
16
+ ··· + 9.19087u − 0.979253
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
223
241
u
17
+
1132
241
u
16
+ ··· +
2795
241
u −
1357
241
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
8
u
18
+ 4u
16
+ ··· + 7u + 1
c
2
, c
5
u
18
+ 2u
16
+ ··· − 4u + 1
c
3
u
18
+ 7u
17
+ ··· − 3u
2
+ 1
c
4
u
18
− u
17
+ ··· − 6u + 1
c
6
u
18
− 5u
17
+ ··· − 16u + 5
c
7
, c
11
u
18
− 4u
16
+ ··· − u + 1
c
9
u
18
+ 5u
17
+ ··· + 16u + 5
c
10
u
18
+ u
17
+ ··· + 6u + 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
8
y
18
+ 8y
17
+ ··· − 21y + 1
c
2
, c
5
y
18
+ 4y
17
+ ··· + 4y + 1
c
3
y
18
− 5y
17
+ ··· − 6y + 1
c
4
, c
10
y
18
+ 15y
17
+ ··· + 4y + 1
c
6
, c
9
y
18
+ 13y
17
+ ··· + 214y + 25
c
7
, c
11
y
18
− 8y
17
+ ··· + 11y + 1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.945623 + 0.063125I
a = −0.1061120 − 0.0121349I
b = −0.614760 − 1.047870I
−6.16858 + 2.75750I −3.49652 − 2.03527I
u = 0.945623 − 0.063125I
a = −0.1061120 + 0.0121349I
b = −0.614760 + 1.047870I
−6.16858 − 2.75750I −3.49652 + 2.03527I
u = −0.121403 + 0.920479I
a = −2.30763 + 0.11393I
b = 1.02835 − 1.06240I
−4.26101 + 6.96134I −0.45344 − 3.31304I
u = −0.121403 − 0.920479I
a = −2.30763 − 0.11393I
b = 1.02835 + 1.06240I
−4.26101 − 6.96134I −0.45344 + 3.31304I
u = 0.703933 + 0.909715I
a = −0.493633 + 0.370978I
b = −0.034790 − 0.741627I
−3.13660 − 2.04248I −8.03181 + 1.04501I
u = 0.703933 − 0.909715I
a = −0.493633 − 0.370978I
b = −0.034790 + 0.741627I
−3.13660 + 2.04248I −8.03181 − 1.04501I
u = 0.107214 + 0.769216I
a = 2.12565 + 0.27529I
b = −0.911622 + 1.079050I
−4.79164 − 1.12477I −4.07222 + 0.30940I
u = 0.107214 − 0.769216I
a = 2.12565 − 0.27529I
b = −0.911622 − 1.079050I
−4.79164 + 1.12477I −4.07222 − 0.30940I
u = −0.349295 + 0.666891I
a = 1.28555 − 0.78686I
b = −0.288199 + 0.696637I
−1.10919 + 4.12373I −1.88941 − 5.48534I
u = −0.349295 − 0.666891I
a = 1.28555 + 0.78686I
b = −0.288199 − 0.696637I
−1.10919 − 4.12373I −1.88941 + 5.48534I
22
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.316716 + 1.263680I
a = −1.303310 + 0.140290I
b = 0.785901 − 0.891884I
2.98236 − 5.05603I 1.84351 + 6.46293I
u = 0.316716 − 1.263680I
a = −1.303310 − 0.140290I
b = 0.785901 + 0.891884I
2.98236 + 5.05603I 1.84351 − 6.46293I
u = −0.444613 + 1.319520I
a = −0.199786 − 0.562083I
b = 0.318141 + 0.281100I
−3.21225 − 5.29580I 0.74146 + 1.80585I
u = −0.444613 − 1.319520I
a = −0.199786 + 0.562083I
b = 0.318141 − 0.281100I
−3.21225 + 5.29580I 0.74146 − 1.80585I
u = 0.521622 + 1.303650I
a = 1.58799 − 0.17208I
b = −1.07771 + 1.20294I
−2.32494 − 8.08359I 0.75623 + 4.20031I
u = 0.521622 − 1.303650I
a = 1.58799 + 0.17208I
b = −1.07771 − 1.20294I
−2.32494 + 8.08359I 0.75623 − 4.20031I
u = 0.82020 + 1.23611I
a = −0.688713 − 0.233947I
b = 0.794690 − 0.338629I
0.63771 − 3.68071I 0.60220 + 3.30279I
u = 0.82020 − 1.23611I
a = −0.688713 + 0.233947I
b = 0.794690 + 0.338629I
0.63771 + 3.68071I 0.60220 − 3.30279I
23
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
8
(u
18
+ 4u
16
+ ··· + 7u + 1)(u
32
+ 7u
30
+ ··· + 9u + 7)
· (u
66
+ u
65
+ ··· + 345266u + 66193)
c
2
, c
5
(u
18
+ 2u
16
+ ··· − 4u + 1)(u
32
− 3u
30
+ ··· + 2u + 1)
· (u
66
− u
65
+ ··· + 30u + 1)
c
3
(u
11
+ 5u
10
+ 12u
9
+ 15u
8
+ 8u
7
− 4u
6
− 8u
5
− 3u
4
+ 3u
3
+ 3u
2
− 1)
6
· (u
18
+ 7u
17
+ ··· − 3u
2
+ 1)(u
32
− 24u
31
+ ··· − 32u + 8)
c
4
((u
3
+ u
2
+ 2u + 1)
22
)(u
18
− u
17
+ ··· − 6u + 1)
· (u
32
− 22u
31
+ ··· − 31744u + 2048)
c
6
((u
11
+ 3u
10
+ ··· + 2u + 1)
6
)(u
18
− 5u
17
+ ··· − 16u + 5)
· (u
32
− 16u
31
+ ··· − 928u + 64)
c
7
, c
11
(u
18
− 4u
16
+ ··· − u + 1)(u
32
+ 2u
31
+ ··· + u + 1)
· (u
66
+ 3u
65
+ ··· + 2656u + 691)
c
9
((u
11
+ 3u
10
+ ··· + 2u + 1)
6
)(u
18
+ 5u
17
+ ··· + 16u + 5)
· (u
32
− 16u
31
+ ··· − 928u + 64)
c
10
((u
3
+ u
2
+ 2u + 1)
22
)(u
18
+ u
17
+ ··· + 6u + 1)
· (u
32
− 22u
31
+ ··· − 31744u + 2048)
24
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
8
(y
18
+ 8y
17
+ ··· − 21y + 1)(y
32
+ 14y
31
+ ··· + 255y + 49)
· (y
66
+ 27y
65
+ ··· + 109594377816y + 4381513249)
c
2
, c
5
(y
18
+ 4y
17
+ ··· + 4y + 1)(y
32
− 6y
31
+ ··· − 4y + 1)
· (y
66
+ 15y
65
+ ··· − 104y + 1)
c
3
((y
11
− y
10
+ ··· + 6y −1)
6
)(y
18
− 5y
17
+ ··· − 6y + 1)
· (y
32
− 6y
31
+ ··· − 1952y + 64)
c
4
, c
10
((y
3
+ 3y
2
+ 2y −1)
22
)(y
18
+ 15y
17
+ ··· + 4y + 1)
· (y
32
+ 18y
31
+ ··· − 13631488y + 4194304)
c
6
, c
9
((y
11
+ 7y
10
+ ··· − 6y −1)
6
)(y
18
+ 13y
17
+ ··· + 214y + 25)
· (y
32
+ 20y
31
+ ··· − 26112y + 4096)
c
7
, c
11
(y
18
− 8y
17
+ ··· + 11y + 1)(y
32
− 2y
31
+ ··· + 7y + 1)
· (y
66
− 25y
65
+ ··· − 19619480y + 477481)
25
