12a
1000
(K12a
1000
)
A knot diagram
1
Linearized knot diagam
4 6 12 9 2 11 10 1 5 7 3 8
Solving Sequence
6,11 3,7
12 4 2 1 5 10 8 9
c
6
c
11
c
3
c
2
c
1
c
5
c
10
c
7
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−507973994943u
25
− 5311743375735u
24
+ ··· + 943195983256b + 10737106657608,
1342138332201u
25
+ 13747573664325u
24
+ ··· + 1886391966512a − 21946395856256,
u
26
+ 11u
25
+ ··· − 96u − 16i
I
u
2
= h5u
31
− 16u
30
+ ··· + 8b + 64, −64u
31
a + 832u
31
+ ··· − 928a + 12721, u
32
− 4u
31
+ ··· + 12u + 1i
I
u
3
= h−2u
12
− u
10
+ 25u
9
+ 60u
8
+ 123u
7
+ 200u
6
+ 228u
5
+ 255u
4
+ 210u
3
+ 144u
2
+ 17b + 86u + 33,
− 33u
12
− 68u
11
+ ··· + 17a − 178,
u
13
+ 2u
12
+ 9u
11
+ 14u
10
+ 30u
9
+ 40u
8
+ 49u
7
+ 60u
6
+ 44u
5
+ 48u
4
+ 24u
3
+ 17u
2
+ 8u + 1i
I
v
1
= ha, b + 1, v + 1i
* 4 irreducible components of dim
C
= 0, with total 104 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−5.08 × 10
11
u
25
− 5.31 × 10
12
u
24
+ · · · + 9.43 × 10
11
b + 1.07 ×
10
13
, 1.34 × 10
12
u
25
+ 1.37 × 10
13
u
24
+ · · · + 1.89 × 10
12
a − 2.19 ×
10
13
, u
26
+ 11u
25
+ · · · − 96u − 16i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
−0.711484u
25
− 7.28776u
24
+ ··· + 62.9142u + 11.6341
0.538567u
25
+ 5.63164u
24
+ ··· − 56.6684u − 11.3837
a
7
=
1
−u
2
a
12
=
0.771582u
25
+ 7.93248u
24
+ ··· − 61.5071u − 11.9585
−0.554928u
25
− 5.84051u
24
+ ··· + 63.1134u + 12.3453
a
4
=
−0.170627u
25
− 1.82922u
24
+ ··· + 29.2931u + 6.47328
−0.244914u
25
− 2.63645u
24
+ ··· + 30.4117u + 5.88703
a
2
=
−0.172918u
25
− 1.65612u
24
+ ··· + 6.24576u + 0.250310
0.538567u
25
+ 5.63164u
24
+ ··· − 56.6684u − 11.3837
a
1
=
0.503649u
25
+ 5.23569u
24
+ ··· − 49.7132u − 11.2334
−0.285246u
25
− 2.91517u
24
+ ··· + 26.0137u + 5.17604
a
5
=
0.216655u
25
+ 2.09197u
24
+ ··· + 0.606288u + 1.38678
−0.554928u
25
− 5.84051u
24
+ ··· + 62.1134u + 12.3453
a
10
=
−u
u
3
+ u
a
8
=
u
2
+ 1
−u
4
− 2u
2
a
9
=
0.0588908u
25
+ 0.409826u
24
+ ··· + 8.22754u + 2.49800
−0.437795u
25
− 4.41833u
24
+ ··· + 32.6510u + 6.31789
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −
378381583910
117899497907
u
25
−
3984664362651
117899497907
u
24
+ ··· +
46248892072756
117899497907
u +
9858826741770
117899497907
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
26
− 23u
25
+ ··· + 512u − 256
c
2
, c
3
, c
5
c
11
u
26
− 14u
24
+ ··· − 6u + 1
c
4
, c
8
, c
9
c
12
u
26
− 9u
24
+ ··· + 3u + 1
c
6
, c
7
, c
10
u
26
+ 11u
25
+ ··· − 96u − 16
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
26
− 5y
25
+ ··· − 8060928y + 65536
c
2
, c
3
, c
5
c
11
y
26
− 28y
25
+ ··· − 18y + 1
c
4
, c
8
, c
9
c
12
y
26
− 18y
25
+ ··· − 13y + 1
c
6
, c
7
, c
10
y
26
+ 23y
25
+ ··· + 2176y + 256
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.346632 + 0.992789I
a = 0.455057 − 0.670912I
b = 0.508337 + 0.684335I
4.03470 − 0.73141I 5.45646 + 3.23030I
u = −0.346632 − 0.992789I
a = 0.455057 + 0.670912I
b = 0.508337 − 0.684335I
4.03470 + 0.73141I 5.45646 − 3.23030I
u = −0.656581 + 0.547695I
a = −1.13998 − 1.20654I
b = 1.40930 + 0.16783I
−7.54501 − 2.22964I −6.88659 + 1.47861I
u = −0.656581 − 0.547695I
a = −1.13998 + 1.20654I
b = 1.40930 − 0.16783I
−7.54501 + 2.22964I −6.88659 − 1.47861I
u = −1.012690 + 0.638363I
a = 0.831253 + 0.884931I
b = −1.40671 − 0.36552I
−0.71270 − 12.30050I 0.84803 + 8.11656I
u = −1.012690 − 0.638363I
a = 0.831253 − 0.884931I
b = −1.40671 + 0.36552I
−0.71270 + 12.30050I 0.84803 − 8.11656I
u = −0.717925 + 0.120399I
a = −0.520959 + 0.998156I
b = 0.253833 − 0.779324I
6.67762 − 3.08794I 9.21380 + 1.80971I
u = −0.717925 − 0.120399I
a = −0.520959 − 0.998156I
b = 0.253833 + 0.779324I
6.67762 + 3.08794I 9.21380 − 1.80971I
u = −1.28198
a = −1.13116
b = 1.45012
−4.99672 2.97320
u = 0.126944 + 1.295060I
a = 0.265595 − 0.087832I
b = 0.147463 + 0.332812I
−3.35359 + 2.09018I 5.38222 − 3.50453I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.126944 − 1.295060I
a = 0.265595 + 0.087832I
b = 0.147463 − 0.332812I
−3.35359 − 2.09018I 5.38222 + 3.50453I
u = −0.309354 + 1.290100I
a = −0.511022 + 0.072506I
b = 0.064546 − 0.681699I
2.31636 − 6.78533I 4.90741 + 2.92210I
u = −0.309354 − 1.290100I
a = −0.511022 − 0.072506I
b = 0.064546 + 0.681699I
2.31636 + 6.78533I 4.90741 − 2.92210I
u = −1.082260 + 0.813357I
a = 0.813423 + 0.519935I
b = −1.303230 + 0.098901I
−1.01017 + 5.35308I 0. − 4.95781I
u = −1.082260 − 0.813357I
a = 0.813423 − 0.519935I
b = −1.303230 − 0.098901I
−1.01017 − 5.35308I 0. + 4.95781I
u = 0.492337
a = 0.403546
b = 0.198681
0.832719 12.0990
u = −0.20866 + 1.55520I
a = 0.155152 − 1.028070I
b = 1.56648 + 0.45581I
−14.5475 − 5.3956I 0
u = −0.20866 − 1.55520I
a = 0.155152 + 1.028070I
b = 1.56648 − 0.45581I
−14.5475 + 5.3956I 0
u = 0.109643 + 0.356252I
a = −0.85111 + 1.69328I
b = −0.696554 − 0.117553I
−1.288240 − 0.193189I −7.14857 + 0.44493I
u = 0.109643 − 0.356252I
a = −0.85111 − 1.69328I
b = −0.696554 + 0.117553I
−1.288240 + 0.193189I −7.14857 − 0.44493I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.33614 + 1.61309I
a = −0.128911 + 1.022060I
b = −1.60534 − 0.55150I
−8.0518 − 17.2435I 0
u = −0.33614 − 1.61309I
a = −0.128911 − 1.022060I
b = −1.60534 + 0.55150I
−8.0518 + 17.2435I 0
u = −0.51814 + 1.56536I
a = −0.133329 − 0.923680I
b = 1.51497 + 0.26989I
−10.19140 − 6.55039I 0
u = −0.51814 − 1.56536I
a = −0.133329 + 0.923680I
b = 1.51497 − 0.26989I
−10.19140 + 6.55039I 0
u = −0.15338 + 1.72340I
a = −0.121371 + 0.752073I
b = −1.277510 − 0.324523I
−10.30440 + 0.51735I 0
u = −0.15338 − 1.72340I
a = −0.121371 − 0.752073I
b = −1.277510 + 0.324523I
−10.30440 − 0.51735I 0
7
II. I
u
2
= h5u
31
− 16u
30
+ · · · + 8b + 64, −64u
31
a + 832u
31
+ · · · − 928a +
12721, u
32
− 4u
31
+ · · · + 12u + 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
a
−
5
8
u
31
+ 2u
30
+ ··· + 20u − 8
a
7
=
1
−u
2
a
12
=
5
8
u
31
a − 7u
31
+ ··· + 8a − 104
−u
31
+
31
8
u
30
+ ··· + 21u − 7
a
4
=
−
25
8
u
31
a +
515
8
u
31
+ ··· − 64a + 1002
−
1
8
u
31
a −
5
8
u
31
+ ··· + a − 8
a
2
=
−
5
8
u
31
+ 2u
30
+ ··· + a − 8
−
5
8
u
31
+ 2u
30
+ ··· + 20u − 8
a
1
=
u
31
a − 8u
31
+ ··· +
65
8
a − 112
1
8
u
31
a − u
31
+ ··· +
1
8
a − 7
a
5
=
−
1
2
u
31
a +
31
8
u
31
+ ··· +
5
8
a + 40
−
1
2
u
31
a −
25
8
u
31
+ ··· +
5
8
a − 65
a
10
=
−u
u
3
+ u
a
8
=
u
2
+ 1
−u
4
− 2u
2
a
9
=
−
1
2
u
31
a −
81
8
u
31
+ ··· +
17
2
a − 170
−0.500000au
31
+ 5.25000u
31
+ ··· − 194.625u + 69.3750
(ii) Obstruction class = −1
(iii) Cusp Shapes =
195
2
u
31
− 384u
30
+ ··· − 4750u + 1496
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
32
+ 6u
31
+ ··· + 12u + 1)
2
c
2
, c
3
, c
5
c
11
u
64
+ 5u
63
+ ··· + 37990u + 2243
c
4
, c
8
, c
9
c
12
u
64
+ 15u
63
+ ··· + 1020u + 389
c
6
, c
7
, c
10
(u
32
− 4u
31
+ ··· + 12u + 1)
2
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
32
+ 8y
31
+ ··· − 80y + 1)
2
c
2
, c
3
, c
5
c
11
y
64
− 125y
63
+ ··· − 105577704y + 5031049
c
4
, c
8
, c
9
c
12
y
64
− 113y
63
+ ··· + 2826260y + 151321
c
6
, c
7
, c
10
(y
32
+ 36y
31
+ ··· − 224y + 1)
2
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.431291 + 0.935489I
a = −0.956425 − 0.649337I
b = −0.249448 − 0.237320I
2.64508 + 4.13131I 2.00000 − 1.07938I
u = −0.431291 + 0.935489I
a = −0.107831 + 0.316363I
b = 1.019950 − 0.614672I
2.64508 + 4.13131I 2.00000 − 1.07938I
u = −0.431291 − 0.935489I
a = −0.956425 + 0.649337I
b = −0.249448 + 0.237320I
2.64508 − 4.13131I 2.00000 + 1.07938I
u = −0.431291 − 0.935489I
a = −0.107831 − 0.316363I
b = 1.019950 + 0.614672I
2.64508 − 4.13131I 2.00000 + 1.07938I
u = 0.772766 + 0.711176I
a = 0.805503 − 1.026110I
b = −1.37402 + 0.41443I
−4.52142 + 6.63284I −2.00159 − 6.22856I
u = 0.772766 + 0.711176I
a = −0.695473 + 1.176340I
b = 1.352210 − 0.220085I
−4.52142 + 6.63284I −2.00159 − 6.22856I
u = 0.772766 − 0.711176I
a = 0.805503 + 1.026110I
b = −1.37402 − 0.41443I
−4.52142 − 6.63284I −2.00159 + 6.22856I
u = 0.772766 − 0.711176I
a = −0.695473 − 1.176340I
b = 1.352210 + 0.220085I
−4.52142 − 6.63284I −2.00159 + 6.22856I
u = 1.042100 + 0.409476I
a = −1.038010 + 0.351756I
b = 1.379790 − 0.010337I
−3.43055 − 0.83324I 0
u = 1.042100 + 0.409476I
a = 1.143580 − 0.459271I
b = −1.225740 − 0.058473I
−3.43055 − 0.83324I 0
11
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.042100 − 0.409476I
a = −1.038010 − 0.351756I
b = 1.379790 + 0.010337I
−3.43055 + 0.83324I 0
u = 1.042100 − 0.409476I
a = 1.143580 + 0.459271I
b = −1.225740 + 0.058473I
−3.43055 + 0.83324I 0
u = 0.396831 + 0.630762I
a = 0.541000 + 0.721874I
b = 0.905643 − 0.460146I
0.45224 + 3.64045I 2.24261 − 7.23107I
u = 0.396831 + 0.630762I
a = 0.124510 − 1.357460I
b = −0.240645 + 0.627704I
0.45224 + 3.64045I 2.24261 − 7.23107I
u = 0.396831 − 0.630762I
a = 0.541000 − 0.721874I
b = 0.905643 + 0.460146I
0.45224 − 3.64045I 2.24261 + 7.23107I
u = 0.396831 − 0.630762I
a = 0.124510 + 1.357460I
b = −0.240645 − 0.627704I
0.45224 − 3.64045I 2.24261 + 7.23107I
u = −0.539207 + 0.347535I
a = 0.63868 − 1.40504I
b = 1.059540 + 0.479611I
4.27736 − 7.62552I 5.45701 + 7.52207I
u = −0.539207 + 0.347535I
a = −0.98325 − 1.52321I
b = 0.143917 + 0.979573I
4.27736 − 7.62552I 5.45701 + 7.52207I
u = −0.539207 − 0.347535I
a = 0.63868 + 1.40504I
b = 1.059540 − 0.479611I
4.27736 + 7.62552I 5.45701 − 7.52207I
u = −0.539207 − 0.347535I
a = −0.98325 + 1.52321I
b = 0.143917 − 0.979573I
4.27736 + 7.62552I 5.45701 − 7.52207I
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.582148
a = 0.662437
b = −1.33289
0.971767 9.58410
u = −0.582148
a = 2.28961
b = −0.385636
0.971767 9.58410
u = 0.490519 + 0.301188I
a = 1.53553 + 0.29469I
b = −0.178851 − 0.166315I
1.47460 − 0.45386I 7.73807 − 0.08751I
u = 0.490519 + 0.301188I
a = −0.415975 − 0.083643I
b = 0.664449 + 0.607034I
1.47460 − 0.45386I 7.73807 − 0.08751I
u = 0.490519 − 0.301188I
a = 1.53553 − 0.29469I
b = −0.178851 + 0.166315I
1.47460 + 0.45386I 7.73807 + 0.08751I
u = 0.490519 − 0.301188I
a = −0.415975 + 0.083643I
b = 0.664449 − 0.607034I
1.47460 + 0.45386I 7.73807 + 0.08751I
u = −0.18830 + 1.42349I
a = 0.202038 + 1.104330I
b = −0.414850 − 0.754593I
−3.83881 − 2.75921I 0
u = −0.18830 + 1.42349I
a = −0.483097 + 0.355334I
b = −1.61005 + 0.07966I
−3.83881 − 2.75921I 0
u = −0.18830 − 1.42349I
a = 0.202038 − 1.104330I
b = −0.414850 + 0.754593I
−3.83881 + 2.75921I 0
u = −0.18830 − 1.42349I
a = −0.483097 − 0.355334I
b = −1.61005 − 0.07966I
−3.83881 + 2.75921I 0
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.03982 + 1.44524I
a = 0.057513 + 0.785575I
b = 2.64086 − 2.38897I
−5.23105 + 0.39376I 0
u = 0.03982 + 1.44524I
a = −1.60143 − 1.87142I
b = −1.133050 + 0.114406I
−5.23105 + 0.39376I 0
u = 0.03982 − 1.44524I
a = 0.057513 − 0.785575I
b = 2.64086 + 2.38897I
−5.23105 − 0.39376I 0
u = 0.03982 − 1.44524I
a = −1.60143 + 1.87142I
b = −1.133050 − 0.114406I
−5.23105 − 0.39376I 0
u = 0.09697 + 1.46165I
a = 0.395493 − 0.884437I
b = −0.410137 + 0.605887I
−4.24943 + 1.41411I 0
u = 0.09697 + 1.46165I
a = 0.394172 + 0.306749I
b = 1.33109 + 0.49231I
−4.24943 + 1.41411I 0
u = 0.09697 − 1.46165I
a = 0.395493 + 0.884437I
b = −0.410137 − 0.605887I
−4.24943 − 1.41411I 0
u = 0.09697 − 1.46165I
a = 0.394172 − 0.306749I
b = 1.33109 − 0.49231I
−4.24943 − 1.41411I 0
u = 0.076052 + 0.502619I
a = −0.01589 + 1.53409I
b = −0.789172 − 0.391993I
−1.275510 − 0.126168I −6.13877 − 0.17917I
u = 0.076052 + 0.502619I
a = −0.99470 + 1.41961I
b = −0.772271 + 0.108685I
−1.275510 − 0.126168I −6.13877 − 0.17917I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.076052 − 0.502619I
a = −0.01589 − 1.53409I
b = −0.789172 + 0.391993I
−1.275510 + 0.126168I −6.13877 + 0.17917I
u = 0.076052 − 0.502619I
a = −0.99470 − 1.41961I
b = −0.772271 − 0.108685I
−1.275510 + 0.126168I −6.13877 + 0.17917I
u = −0.15788 + 1.49111I
a = 0.990763 − 0.348619I
b = 1.334190 + 0.255540I
−1.85151 − 10.06120I 0
u = −0.15788 + 1.49111I
a = 0.075786 − 0.902790I
b = 0.36340 + 1.53238I
−1.85151 − 10.06120I 0
u = −0.15788 − 1.49111I
a = 0.990763 + 0.348619I
b = 1.334190 − 0.255540I
−1.85151 + 10.06120I 0
u = −0.15788 − 1.49111I
a = 0.075786 + 0.902790I
b = 0.36340 − 1.53238I
−1.85151 + 10.06120I 0
u = 0.03260 + 1.52702I
a = −0.105052 + 0.896857I
b = −0.468227 − 1.029110I
−8.11506 + 0.32962I 0
u = 0.03260 + 1.52702I
a = −0.680170 + 0.292106I
b = −1.372940 − 0.131175I
−8.11506 + 0.32962I 0
u = 0.03260 − 1.52702I
a = −0.105052 − 0.896857I
b = −0.468227 + 1.029110I
−8.11506 − 0.32962I 0
u = 0.03260 − 1.52702I
a = −0.680170 − 0.292106I
b = −1.372940 + 0.131175I
−8.11506 − 0.32962I 0
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.07478 + 1.55930I
a = −0.126779 − 0.865817I
b = −0.175645 + 0.991240I
−6.95948 + 5.18070I 0
u = 0.07478 + 1.55930I
a = 0.628848 + 0.142802I
b = 1.340590 − 0.262433I
−6.95948 + 5.18070I 0
u = 0.07478 − 1.55930I
a = −0.126779 + 0.865817I
b = −0.175645 − 0.991240I
−6.95948 − 5.18070I 0
u = 0.07478 − 1.55930I
a = 0.628848 − 0.142802I
b = 1.340590 + 0.262433I
−6.95948 − 5.18070I 0
u = 0.24956 + 1.60155I
a = −0.136197 − 0.928161I
b = −1.67985 + 0.63113I
−12.1519 + 10.4459I 0
u = 0.24956 + 1.60155I
a = 0.225165 + 1.083980I
b = 1.45251 − 0.44976I
−12.1519 + 10.4459I 0
u = 0.24956 − 1.60155I
a = −0.136197 + 0.928161I
b = −1.67985 − 0.63113I
−12.1519 − 10.4459I 0
u = 0.24956 − 1.60155I
a = 0.225165 − 1.083980I
b = 1.45251 + 0.44976I
−12.1519 − 10.4459I 0
u = 0.36857 + 1.67271I
a = 0.037760 − 0.877985I
b = −1.219860 + 0.318063I
−10.34730 + 4.76510I 0
u = 0.36857 + 1.67271I
a = 0.028092 + 0.735464I
b = 1.48253 − 0.26044I
−10.34730 + 4.76510I 0
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.36857 − 1.67271I
a = 0.037760 + 0.877985I
b = −1.219860 − 0.318063I
−10.34730 − 4.76510I 0
u = 0.36857 − 1.67271I
a = 0.028092 − 0.735464I
b = 1.48253 + 0.26044I
−10.34730 − 4.76510I 0
u = −0.0656714
a = 15.2618
b = −8.59100
−0.00222484 1871.50
u = −0.0656714
a = 130.818
b = −1.00226
−0.00222484 1871.50
17
III. I
u
3
= h−2u
12
− u
10
+ · · · + 17b + 33, −33u
12
− 68u
11
+ · · · + 17a −
178, u
13
+ 2u
12
+ · · · + 8u + 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
0
u
a
3
=
1.94118u
12
+ 4u
11
+ ··· + 24.5294u + 10.4706
0.117647u
12
+ 0.0588235u
10
+ ··· − 5.05882u − 1.94118
a
7
=
1
−u
2
a
12
=
2.05882u
12
+ 4u
11
+ ··· + 33.4706u + 13.5294
−0.117647u
12
− 1.05882u
10
+ ··· − 1.94118u − 2.05882
a
4
=
−1.05882u
12
− 2u
11
+ ··· − 18.4706u − 6.52941
−0.117647u
12
− u
11
+ ··· − 0.941176u + 0.941176
a
2
=
2.05882u
12
+ 4u
11
+ ··· + 19.4706u + 8.52941
0.117647u
12
+ 0.0588235u
10
+ ··· − 5.05882u − 1.94118
a
1
=
2.17647u
12
+ 4u
11
+ ··· + 28.4118u + 11.5882
2
17
u
12
+ u
11
+ ··· −
18
17
u −
33
17
a
5
=
1.94118u
12
+ 4u
11
+ ··· + 30.5294u + 12.4706
−0.117647u
12
− 1.05882u
10
+ ··· − 2.94118u − 2.05882
a
10
=
−u
u
3
+ u
a
8
=
u
2
+ 1
−u
4
− 2u
2
a
9
=
2.17647u
12
+ 3u
11
+ ··· + 31.4118u + 14.5882
−u
12
− 2u
11
+ ··· − 7u − 3
(ii) Obstruction class = 1
(iii) Cusp Shapes =
32
17
u
12
+
101
17
u
10
−
162
17
u
9
−
246
17
u
8
−
710
17
u
7
−
1347
17
u
6
−
1149
17
u
5
−106u
4
−
1014
17
u
3
−
774
17
u
2
−
509
17
u −
69
17
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
13
− u
12
+ ··· − 12u + 1
c
2
, c
11
u
13
+ u
12
+ ··· − u + 1
c
3
, c
5
u
13
− u
12
+ ··· − u − 1
c
4
, c
8
u
13
− u
12
+ ··· + 5u
2
− 1
c
6
, c
7
u
13
+ 2u
12
+ ··· + 8u + 1
c
9
, c
12
u
13
+ u
12
+ ··· − 5u
2
+ 1
c
10
u
13
− 2u
12
+ ··· + 8u − 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
13
− 5y
12
+ ··· + 24y −1
c
2
, c
3
, c
5
c
11
y
13
− 13y
12
+ ··· + 11y −1
c
4
, c
8
, c
9
c
12
y
13
− 11y
12
+ ··· + 10y −1
c
6
, c
7
, c
10
y
13
+ 14y
12
+ ··· + 30y −1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.369408 + 0.844268I
a = 0.855966 − 0.556779I
b = 0.786271 + 0.516986I
2.48419 − 5.58074I 0.98028 + 7.34042I
u = 0.369408 − 0.844268I
a = 0.855966 + 0.556779I
b = 0.786271 − 0.516986I
2.48419 + 5.58074I 0.98028 − 7.34042I
u = 0.207504 + 1.124570I
a = −0.341943 − 0.545748I
b = 0.542776 − 0.497782I
1.35916 + 7.74713I −0.66321 − 6.70613I
u = 0.207504 − 1.124570I
a = −0.341943 + 0.545748I
b = 0.542776 + 0.497782I
1.35916 − 7.74713I −0.66321 + 6.70613I
u = −1.25079
a = −1.12601
b = 1.40840
−5.72243 −9.02310
u = −0.148482 + 1.242790I
a = 0.182382 + 0.401286I
b = −0.525793 + 0.167078I
−3.94795 − 2.05500I −8.88235 + 2.80157I
u = −0.148482 − 1.242790I
a = 0.182382 − 0.401286I
b = −0.525793 − 0.167078I
−3.94795 + 2.05500I −8.88235 − 2.80157I
u = −0.06029 + 1.44510I
a = −0.330672 + 1.024240I
b = −1.46018 − 0.53960I
−5.25730 − 0.86581I 0.601613 + 0.345135I
u = −0.06029 − 1.44510I
a = −0.330672 − 1.024240I
b = −1.46018 + 0.53960I
−5.25730 + 0.86581I 0.601613 − 0.345135I
u = −0.414245
a = 1.80075
b = −0.745951
−0.231166 2.15330
21
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.44334 + 1.63602I
a = −0.044120 − 0.869667I
b = 1.44235 + 0.31338I
−11.35960 − 6.33356I −6.19149 + 5.07091I
u = −0.44334 − 1.63602I
a = −0.044120 + 0.869667I
b = 1.44235 − 0.31338I
−11.35960 + 6.33356I −6.19149 − 5.07091I
u = −0.184571
a = 6.68203
b = −1.23331
−0.0818132 0.180080
22
IV. I
v
1
= ha, b + 1, v + 1i
(i) Arc colorings
a
6
=
1
0
a
11
=
−1
0
a
3
=
0
−1
a
7
=
1
0
a
12
=
−1
−1
a
4
=
1
0
a
2
=
−1
−1
a
1
=
−2
−1
a
5
=
0
−1
a
10
=
−1
0
a
8
=
1
0
a
9
=
−1
−1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0
23
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
9
c
11
, c
12
u − 1
c
3
, c
4
, c
5
c
8
u + 1
c
6
, c
7
, c
10
u
24
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
4
, c
5
, c
8
c
9
, c
11
, c
12
y −1
c
6
, c
7
, c
10
y
25
(vi) Complex Volumes and Cusp Shapes
Solutions to I
v
1
√
−1(vol +
√
−1CS) Cusp shape
v = −1.00000
a = 0
b = −1.00000
0 0
26
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u − 1)(u
13
− u
12
+ ··· − 12u + 1)(u
26
− 23u
25
+ ··· + 512u − 256)
· (u
32
+ 6u
31
+ ··· + 12u + 1)
2
c
2
, c
11
(u − 1)(u
13
+ u
12
+ ··· − u + 1)(u
26
− 14u
24
+ ··· − 6u + 1)
· (u
64
+ 5u
63
+ ··· + 37990u + 2243)
c
3
, c
5
(u + 1)(u
13
− u
12
+ ··· − u − 1)(u
26
− 14u
24
+ ··· − 6u + 1)
· (u
64
+ 5u
63
+ ··· + 37990u + 2243)
c
4
, c
8
(u + 1)(u
13
− u
12
+ ··· + 5u
2
− 1)(u
26
− 9u
24
+ ··· + 3u + 1)
· (u
64
+ 15u
63
+ ··· + 1020u + 389)
c
6
, c
7
u(u
13
+ 2u
12
+ ··· + 8u + 1)(u
26
+ 11u
25
+ ··· − 96u − 16)
· (u
32
− 4u
31
+ ··· + 12u + 1)
2
c
9
, c
12
(u − 1)(u
13
+ u
12
+ ··· − 5u
2
+ 1)(u
26
− 9u
24
+ ··· + 3u + 1)
· (u
64
+ 15u
63
+ ··· + 1020u + 389)
c
10
u(u
13
− 2u
12
+ ··· + 8u − 1)(u
26
+ 11u
25
+ ··· − 96u − 16)
· (u
32
− 4u
31
+ ··· + 12u + 1)
2
27
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y −1)(y
13
− 5y
12
+ ··· + 24y −1)
· (y
26
− 5y
25
+ ··· − 8060928y + 65536)(y
32
+ 8y
31
+ ··· − 80y + 1)
2
c
2
, c
3
, c
5
c
11
(y −1)(y
13
− 13y
12
+ ··· + 11y −1)(y
26
− 28y
25
+ ··· − 18y + 1)
· (y
64
− 125y
63
+ ··· − 105577704y + 5031049)
c
4
, c
8
, c
9
c
12
(y −1)(y
13
− 11y
12
+ ··· + 10y −1)(y
26
− 18y
25
+ ··· − 13y + 1)
· (y
64
− 113y
63
+ ··· + 2826260y + 151321)
c
6
, c
7
, c
10
y(y
13
+ 14y
12
+ ··· + 30y −1)(y
26
+ 23y
25
+ ··· + 2176y + 256)
· (y
32
+ 36y
31
+ ··· − 224y + 1)
2
28
