12n
0760
(K12n
0760
)
A knot diagram
1
Linearized knot diagam
4 6 7 1 12 10 5 2 7 6 3 8
Solving Sequence
6,10 3,7
4 11 12 2 1 5 9 8
c
6
c
3
c
10
c
11
c
2
c
1
c
5
c
9
c
8
c
4
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h3.36560 × 10
16
u
33
− 4.05432 × 10
17
u
32
+ ··· + 2.03548 × 10
16
b − 4.65631 × 10
16
,
4.40305 × 10
16
u
33
− 5.75517 × 10
17
u
32
+ ··· + 4.07095 × 10
16
a − 1.59911 × 10
17
, u
34
− 13u
33
+ ··· − 6u + 4i
I
u
2
= h−164346u
11
a
3
+ 243817u
11
a
2
+ ··· + 1429364a + 308156, 5u
11
a
2
− 2u
11
a + ··· − 4a − 3,
u
12
+ 5u
11
+ 13u
10
+ 20u
9
+ 21u
8
+ 16u
7
+ 12u
6
+ 8u
5
+ 6u
4
+ 3u
3
+ 3u
2
+ 1i
I
u
3
= h−127540u
19
− 1007094u
18
+ ··· + 123517b + 27064,
− 154604u
19
− 1351146u
18
+ ··· + 123517a − 395220, u
20
+ 8u
19
+ ··· + u + 1i
* 3 irreducible components of dim
C
= 0, with total 102 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
=
h3.37×10
16
u
33
−4.05×10
17
u
32
+· · ·+2.04×10
16
b−4.66×10
16
, 4.40×10
16
u
33
−
5.76 × 10
17
u
32
+ · · · + 4.07 × 10
16
a − 1.60 × 10
17
, u
34
− 13u
33
+ · · · − 6u + 4i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
3
=
−1.08158u
33
+ 14.1371u
32
+ ··· − 1.84914u + 3.92810
−1.65347u
33
+ 19.9183u
32
+ ··· − 5.07189u + 2.28758
a
7
=
1
−u
2
a
4
=
−1.00999u
33
+ 11.8197u
32
+ ··· − 1.56347u + 1.94713
0.938990u
33
− 11.3875u
32
+ ··· + 3.53499u − 3.25944
a
11
=
u
u
a
12
=
0.204732u
33
− 3.45935u
32
+ ··· − 6.67202u + 1.64778
1.28084u
33
− 16.1679u
32
+ ··· + 1.50444u − 4.30443
a
2
=
0.571894u
33
− 5.78115u
32
+ ··· + 3.22275u + 1.64052
−1.65347u
33
+ 19.9183u
32
+ ··· − 5.07189u + 2.28758
a
1
=
−0.267000u
33
+ 3.12839u
32
+ ··· + 0.838672u + 2.49762
−0.625596u
33
+ 6.10151u
32
+ ··· − 4.07077u − 2.20949
a
5
=
4.42916u
33
− 52.7017u
32
+ ··· + 19.1323u − 9.10875
0.312839u
33
+ 0.640403u
32
+ ··· + 0.133353u + 11.3419
a
9
=
−u
u
3
+ u
a
8
=
−0.278275u
33
+ 3.49089u
32
+ ··· − 12.0526u + 6.77114
0.126689u
33
− 1.92864u
32
+ ··· − 4.10149u − 1.11310
(ii) Obstruction class = −1
(iii) Cusp Shapes =
245172184142911492
10177386517582189
u
33
−
2970953353069335864
10177386517582189
u
32
+···+
687896807227313368
10177386517582189
u−
550241350633760298
10177386517582189
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
34
− 15u
33
+ ··· − 260u + 16
c
2
, c
11
u
34
− 3u
33
+ ··· + u + 1
c
3
, c
8
u
34
+ u
33
+ ··· + 104u + 52
c
5
u
34
− 24u
33
+ ··· − 65536u + 4096
c
6
, c
9
, c
10
u
34
+ 13u
33
+ ··· + 6u + 4
c
7
, c
12
u
34
− u
33
+ ··· + 2u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
34
+ 25y
33
+ ··· + 6608y + 256
c
2
, c
11
y
34
− 37y
33
+ ··· − 3y + 1
c
3
, c
8
y
34
+ 15y
33
+ ··· + 26832y + 2704
c
5
y
34
+ 18y
33
+ ··· + 41943040y + 16777216
c
6
, c
9
, c
10
y
34
+ 13y
33
+ ··· + 4y + 16
c
7
, c
12
y
34
+ 9y
33
+ ··· + 24y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.177745 + 0.860510I
a = −0.987660 + 0.758962I
b = −0.133957 + 0.738294I
−0.48946 − 2.43392I −4.03642 + 1.50736I
u = −0.177745 − 0.860510I
a = −0.987660 − 0.758962I
b = −0.133957 − 0.738294I
−0.48946 + 2.43392I −4.03642 − 1.50736I
u = 0.807369 + 0.789323I
a = −0.046019 − 1.265130I
b = −1.54529 − 0.84093I
4.30370 + 4.79186I 12.7548 − 15.8539I
u = 0.807369 − 0.789323I
a = −0.046019 + 1.265130I
b = −1.54529 + 0.84093I
4.30370 − 4.79186I 12.7548 + 15.8539I
u = −0.742638 + 0.428063I
a = −0.092694 − 1.192120I
b = −0.201006 − 0.534634I
3.50069 − 1.29985I 5.39595 + 2.66124I
u = −0.742638 − 0.428063I
a = −0.092694 + 1.192120I
b = −0.201006 + 0.534634I
3.50069 + 1.29985I 5.39595 − 2.66124I
u = −0.199740 + 0.757222I
a = 0.768202 + 1.019930I
b = 0.694012 + 0.122979I
1.79897 − 2.51887I 1.62969 + 2.73665I
u = −0.199740 − 0.757222I
a = 0.768202 − 1.019930I
b = 0.694012 − 0.122979I
1.79897 + 2.51887I 1.62969 − 2.73665I
u = 0.807251 + 0.921530I
a = −0.549456 − 1.161350I
b = −1.63739 − 0.33756I
4.49772 + 3.04334I 0
u = 0.807251 − 0.921530I
a = −0.549456 + 1.161350I
b = −1.63739 + 0.33756I
4.49772 − 3.04334I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.968837 + 0.772002I
a = 0.600368 + 0.589855I
b = 1.331840 − 0.217349I
1.19675 − 4.92326I 0
u = 0.968837 − 0.772002I
a = 0.600368 − 0.589855I
b = 1.331840 + 0.217349I
1.19675 + 4.92326I 0
u = 0.704114 + 1.059300I
a = −0.900068 − 0.778966I
b = −1.362050 + 0.199758I
3.45060 + 0.99312I 0
u = 0.704114 − 1.059300I
a = −0.900068 + 0.778966I
b = −1.362050 − 0.199758I
3.45060 − 0.99312I 0
u = 1.086830 + 0.767498I
a = 0.484855 + 0.792427I
b = 1.57485 + 0.28400I
10.11120 − 2.61148I 0
u = 1.086830 − 0.767498I
a = 0.484855 − 0.792427I
b = 1.57485 − 0.28400I
10.11120 + 2.61148I 0
u = 0.878326 + 1.055870I
a = 0.371450 + 1.291500I
b = 1.53857 + 0.80521I
0.37459 + 11.68900I 0
u = 0.878326 − 1.055870I
a = 0.371450 − 1.291500I
b = 1.53857 − 0.80521I
0.37459 − 11.68900I 0
u = −0.386020 + 0.458150I
a = −0.537326 + 0.629358I
b = −0.052527 + 0.335533I
0.064441 − 1.136870I 0.93772 + 5.85683I
u = −0.386020 − 0.458150I
a = −0.537326 − 0.629358I
b = −0.052527 − 0.335533I
0.064441 + 1.136870I 0.93772 − 5.85683I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.89212 + 1.15663I
a = 0.747140 + 1.031830I
b = 1.57182 + 0.30895I
8.86289 + 9.81740I 0
u = 0.89212 − 1.15663I
a = 0.747140 − 1.031830I
b = 1.57182 − 0.30895I
8.86289 − 9.81740I 0
u = 1.22079 + 0.87455I
a = −0.716079 − 0.451230I
b = −1.395450 + 0.196055I
6.07747 − 9.60440I 0
u = 1.22079 − 0.87455I
a = −0.716079 + 0.451230I
b = −1.395450 − 0.196055I
6.07747 + 9.60440I 0
u = 0.98696 + 1.14798I
a = −0.477391 − 1.245850I
b = −1.55779 − 0.81772I
5.1283 + 17.4721I 0
u = 0.98696 − 1.14798I
a = −0.477391 + 1.245850I
b = −1.55779 + 0.81772I
5.1283 − 17.4721I 0
u = −0.00685 + 1.55539I
a = 0.394264 + 0.143907I
b = 0.343831 − 0.076929I
−7.56742 − 2.39125I 0
u = −0.00685 − 1.55539I
a = 0.394264 − 0.143907I
b = 0.343831 + 0.076929I
−7.56742 + 2.39125I 0
u = 0.201303 + 0.350187I
a = 1.40378 − 2.09303I
b = −1.034130 − 0.541372I
1.50426 + 2.26332I 0.52367 − 3.19533I
u = 0.201303 − 0.350187I
a = 1.40378 + 2.09303I
b = −1.034130 + 0.541372I
1.50426 − 2.26332I 0.52367 + 3.19533I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.399608 + 0.017982I
a = 2.46321 − 2.18711I
b = 0.683499 − 0.647318I
1.77799 − 2.09204I −0.21369 + 3.52332I
u = −0.399608 − 0.017982I
a = 2.46321 + 2.18711I
b = 0.683499 + 0.647318I
1.77799 + 2.09204I −0.21369 − 3.52332I
u = −0.14129 + 1.69680I
a = −0.176576 − 0.469335I
b = −0.318827 − 0.269592I
−5.11425 − 5.43935I 0
u = −0.14129 − 1.69680I
a = −0.176576 + 0.469335I
b = −0.318827 + 0.269592I
−5.11425 + 5.43935I 0
8
II. I
u
2
= h−1.64 × 10
5
a
3
u
11
+ 2.44 × 10
5
a
2
u
11
+ · · · + 1.43 × 10
6
a + 3.08 ×
10
5
, 5u
11
a
2
− 2u
11
a + · · · − 4a − 3, u
12
+ 5u
11
+ · · · + 3u
2
+ 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
3
=
a
0.173165a
3
u
11
− 0.256901a
2
u
11
+ ··· − 1.50607a − 0.324693
a
7
=
1
−u
2
a
4
=
−0.173165a
3
u
11
+ 0.256901a
2
u
11
+ ··· + 2.50607a + 0.324693
0.0438292a
3
u
11
+ 0.198053a
2
u
11
+ ··· − 0.0752979a + 0.187445
a
11
=
u
u
a
12
=
0.233575a
3
u
11
− 0.244925a
2
u
11
+ ··· − 0.00431686a − 0.0487698
−0.137377a
3
u
11
− 0.991313a
2
u
11
+ ··· − 0.124280a + 0.0462769
a
2
=
−0.173165a
3
u
11
+ 0.256901a
2
u
11
+ ··· + 2.50607a + 0.324693
0.173165a
3
u
11
− 0.256901a
2
u
11
+ ··· − 1.50607a − 0.324693
a
1
=
−0.590217a
3
u
11
− 0.580359a
2
u
11
+ ··· + 2.60386a + 1.74028
0.384443a
3
u
11
+ 0.245718a
2
u
11
+ ··· − 0.729774a − 1.29352
a
5
=
0.482755a
3
u
11
+ 0.427855a
2
u
11
+ ··· + 0.290788a + 1.76402
−0.137377a
3
u
11
− 0.991313a
2
u
11
+ ··· − 0.124280a − 0.953723
a
9
=
−u
u
3
+ u
a
8
=
−0.808272a
3
u
11
− 0.111891a
2
u
11
+ ··· + 0.482231a + 0.268134
1.17922a
3
u
11
+ 0.858278a
2
u
11
+ ··· − 0.362268a − 0.363181
(ii) Obstruction class = −1
(iii) Cusp Shapes =
52152
94907
u
11
a
3
+
376330
94907
u
11
a
2
+ ··· +
47180
94907
a −
1346266
94907
9
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
(u
12
+ 3u
11
+ ··· − 2u + 1)
4
c
2
, c
11
u
48
− 3u
47
+ ··· − 1764u + 304
c
3
, c
8
u
48
− u
47
+ ··· − 10752u + 31744
c
5
(u
2
+ u + 1)
24
c
6
, c
9
, c
10
(u
12
− 5u
11
+ ··· + 3u
2
+ 1)
4
c
7
, c
12
u
48
+ u
47
+ ··· − 8u + 4
10
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
12
+ 9y
11
+ ··· − 6y + 1)
4
c
2
, c
11
y
48
− 25y
47
+ ··· − 3021104y + 92416
c
3
, c
8
y
48
+ 19y
47
+ ··· − 4422631424y + 1007681536
c
5
(y
2
+ y + 1)
24
c
6
, c
9
, c
10
(y
12
+ y
11
+ ··· + 6y + 1)
4
c
7
, c
12
y
48
− 9y
47
+ ··· + 648y + 16
11
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.096849 + 0.815314I
a = −0.991274 + 0.244561I
b = 0.180533 + 0.571823I
−0.55801 − 2.43094I −5.64801 + 1.26417I
u = −0.096849 + 0.815314I
a = −0.334752 + 0.461645I
b = −1.62106 + 0.09220I
−0.55801 − 6.49071I −5.64801 + 8.19237I
u = −0.096849 + 0.815314I
a = −1.04597 + 1.22420I
b = −0.380309 + 0.923695I
−0.55801 − 2.43094I −5.64801 + 1.26417I
u = −0.096849 + 0.815314I
a = 0.08139 − 2.96033I
b = 0.425795 − 1.012970I
−0.55801 − 6.49071I −5.64801 + 8.19237I
u = −0.096849 − 0.815314I
a = −0.991274 − 0.244561I
b = 0.180533 − 0.571823I
−0.55801 + 2.43094I −5.64801 − 1.26417I
u = −0.096849 − 0.815314I
a = −0.334752 − 0.461645I
b = −1.62106 − 0.09220I
−0.55801 + 6.49071I −5.64801 − 8.19237I
u = −0.096849 − 0.815314I
a = −1.04597 − 1.22420I
b = −0.380309 − 0.923695I
−0.55801 + 2.43094I −5.64801 − 1.26417I
u = −0.096849 − 0.815314I
a = 0.08139 + 2.96033I
b = 0.425795 + 1.012970I
−0.55801 + 6.49071I −5.64801 − 8.19237I
u = −0.897414 + 0.962359I
a = −0.512515 + 0.835613I
b = −1.54234 + 0.56752I
1.93740 − 5.36645I −3.82297 + 5.38834I
u = −0.897414 + 0.962359I
a = −0.635177 + 0.979032I
b = −1.154690 + 0.241144I
1.93740 − 1.30669I −3.82297 − 1.53987I
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.897414 + 0.962359I
a = 0.067373 − 1.313560I
b = 1.182180 − 0.750468I
1.93740 − 5.36645I −3.82297 + 5.38834I
u = −0.897414 + 0.962359I
a = 0.443837 − 0.354556I
b = 1.176330 + 0.162236I
1.93740 − 1.30669I −3.82297 − 1.53987I
u = −0.897414 − 0.962359I
a = −0.512515 − 0.835613I
b = −1.54234 − 0.56752I
1.93740 + 5.36645I −3.82297 − 5.38834I
u = −0.897414 − 0.962359I
a = −0.635177 − 0.979032I
b = −1.154690 − 0.241144I
1.93740 + 1.30669I −3.82297 + 1.53987I
u = −0.897414 − 0.962359I
a = 0.067373 + 1.313560I
b = 1.182180 + 0.750468I
1.93740 + 5.36645I −3.82297 − 5.38834I
u = −0.897414 − 0.962359I
a = 0.443837 + 0.354556I
b = 1.176330 − 0.162236I
1.93740 + 1.30669I −3.82297 + 1.53987I
u = 0.492148 + 0.450600I
a = 1.238170 + 0.532971I
b = −0.806292 − 0.362544I
1.25303 + 4.19921I 2.04009 − 7.81755I
u = 0.492148 + 0.450600I
a = −0.45433 + 1.76693I
b = −0.60135 + 2.02277I
1.25303 + 8.25898I 2.0401 − 14.7458I
u = 0.492148 + 0.450600I
a = 0.65546 − 1.77721I
b = −0.60266 − 1.36196I
1.25303 + 4.19921I 2.04009 − 7.81755I
u = 0.492148 + 0.450600I
a = −1.57002 − 2.78474I
b = −0.187637 + 0.059665I
1.25303 + 8.25898I 2.0401 − 14.7458I
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.492148 − 0.450600I
a = 1.238170 − 0.532971I
b = −0.806292 + 0.362544I
1.25303 − 4.19921I 2.04009 + 7.81755I
u = 0.492148 − 0.450600I
a = −0.45433 − 1.76693I
b = −0.60135 − 2.02277I
1.25303 − 8.25898I 2.0401 + 14.7458I
u = 0.492148 − 0.450600I
a = 0.65546 + 1.77721I
b = −0.60266 + 1.36196I
1.25303 − 4.19921I 2.04009 + 7.81755I
u = 0.492148 − 0.450600I
a = −1.57002 + 2.78474I
b = −0.187637 − 0.059665I
1.25303 − 8.25898I 2.0401 + 14.7458I
u = 0.225615 + 0.583583I
a = 0.49226 − 1.52837I
b = 0.30789 − 1.81604I
−3.58098 + 2.94957I −9.5307 − 10.6461I
u = 0.225615 + 0.583583I
a = −0.0844684 − 0.0883145I
b = 1.43468 + 0.37842I
−3.58098 − 1.11020I −9.53074 − 3.71786I
u = 0.225615 + 0.583583I
a = 2.65608 + 1.33311I
b = 0.126282 − 0.172499I
−3.58098 + 2.94957I −9.5307 − 10.6461I
u = 0.225615 + 0.583583I
a = −1.32060 + 2.91249I
b = 0.070364 + 0.991849I
−3.58098 − 1.11020I −9.53074 − 3.71786I
u = 0.225615 − 0.583583I
a = 0.49226 + 1.52837I
b = 0.30789 + 1.81604I
−3.58098 − 2.94957I −9.5307 + 10.6461I
u = 0.225615 − 0.583583I
a = −0.0844684 + 0.0883145I
b = 1.43468 − 0.37842I
−3.58098 + 1.11020I −9.53074 + 3.71786I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.225615 − 0.583583I
a = 2.65608 − 1.33311I
b = 0.126282 + 0.172499I
−3.58098 − 2.94957I −9.5307 + 10.6461I
u = 0.225615 − 0.583583I
a = −1.32060 − 2.91249I
b = 0.070364 − 0.991849I
−3.58098 + 1.11020I −9.53074 + 3.71786I
u = −1.216860 + 0.709160I
a = −0.953155 + 0.065735I
b = −1.62157 − 0.26350I
6.16619 − 0.50759I 8.43865 − 1.75135I
u = −1.216860 + 0.709160I
a = 0.146312 − 0.814725I
b = 1.046850 − 0.073374I
6.16619 − 0.50759I 8.43865 − 1.75135I
u = −1.216860 + 0.709160I
a = 0.881067 − 0.903352I
b = 1.74042 − 0.74034I
6.16619 − 4.56735I 8.43865 + 5.17685I
u = −1.216860 + 0.709160I
a = 0.171000 + 0.579101I
b = −1.161320 + 0.411057I
6.16619 − 4.56735I 8.43865 + 5.17685I
u = −1.216860 − 0.709160I
a = −0.953155 − 0.065735I
b = −1.62157 + 0.26350I
6.16619 + 0.50759I 8.43865 + 1.75135I
u = −1.216860 − 0.709160I
a = 0.146312 + 0.814725I
b = 1.046850 + 0.073374I
6.16619 + 0.50759I 8.43865 + 1.75135I
u = −1.216860 − 0.709160I
a = 0.881067 + 0.903352I
b = 1.74042 + 0.74034I
6.16619 + 4.56735I 8.43865 − 5.17685I
u = −1.216860 − 0.709160I
a = 0.171000 − 0.579101I
b = −1.161320 − 0.411057I
6.16619 + 4.56735I 8.43865 − 5.17685I
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00664 + 1.21018I
a = 0.368637 − 0.732620I
b = 1.42346 − 0.46423I
4.65197 − 7.43387I 4.52298 + 12.02747I
u = −1.00664 + 1.21018I
a = 1.052560 − 0.811213I
b = 1.47525 − 0.31651I
4.65197 − 3.37411I 4.52298 + 5.09926I
u = −1.00664 + 1.21018I
a = −0.270267 + 0.605480I
b = −1.024180 + 0.013550I
4.65197 − 3.37411I 4.52298 + 5.09926I
u = −1.00664 + 1.21018I
a = −0.58161 + 1.51297I
b = −1.38663 + 1.00635I
4.65197 − 7.43387I 4.52298 + 12.02747I
u = −1.00664 − 1.21018I
a = 0.368637 + 0.732620I
b = 1.42346 + 0.46423I
4.65197 + 7.43387I 4.52298 − 12.02747I
u = −1.00664 − 1.21018I
a = 1.052560 + 0.811213I
b = 1.47525 + 0.31651I
4.65197 + 3.37411I 4.52298 − 5.09926I
u = −1.00664 − 1.21018I
a = −0.270267 − 0.605480I
b = −1.024180 − 0.013550I
4.65197 + 3.37411I 4.52298 − 5.09926I
u = −1.00664 − 1.21018I
a = −0.58161 − 1.51297I
b = −1.38663 − 1.00635I
4.65197 + 7.43387I 4.52298 − 12.02747I
16
III.
I
u
3
= h−1.28 × 10
5
u
19
− 1.01 × 10
6
u
18
+ · · · + 1.24 × 10
5
b + 2.71 × 10
4
, −1.55 ×
10
5
u
19
− 1.35× 10
6
u
18
+ · · · + 1.24 × 10
5
a −3.95 × 10
5
, u
20
+ 8u
19
+ · · · + u + 1i
(i) Arc colorings
a
6
=
1
0
a
10
=
0
u
a
3
=
1.25168u
19
+ 10.9389u
18
+ ··· + 5.92810u + 3.19972
1.03257u
19
+ 8.15348u
18
+ ··· + 3.19972u − 0.219112
a
7
=
1
−u
2
a
4
=
0.685072u
19
+ 6.77196u
18
+ ··· + 4.90555u + 4.34433
0.994365u
19
+ 7.79298u
18
+ ··· + 2.99900u + 0.146781
a
11
=
u
u
a
12
=
1.41270u
19
+ 10.8173u
18
+ ··· + 2.62466u − 3.71599
−0.0514585u
19
− 0.844532u
18
+ ··· − 2.71599u − 1.46416
a
2
=
0.219112u
19
+ 2.78546u
18
+ ··· + 2.72838u + 3.41883
1.03257u
19
+ 8.15348u
18
+ ··· + 3.19972u − 0.219112
a
1
=
−0.372111u
19
− 3.33171u
18
+ ··· − 5.09162u − 1.99085
0.0253083u
19
+ 0.0849600u
18
+ ··· − 0.193803u − 0.124768
a
5
=
−0.0850814u
19
− 0.341281u
18
+ ··· + 7.95479u + 5.36282
0.182671u
19
+ 1.18521u
18
+ ··· + 2.89866u + 0.319211
a
9
=
−u
u
3
+ u
a
8
=
0.979841u
19
+ 7.65593u
18
+ ··· − 0.788045u − 3.66453
−0.182793u
19
− 1.80174u
18
+ ··· − 3.64437u − 0.979841
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
499031
123517
u
19
−
4050048
123517
u
18
+ ··· −
2050088
123517
u −
1463308
123517
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
20
− 6u
19
+ ··· − 60u + 13
c
2
, c
11
u
20
+ u
19
+ ··· − 2u + 1
c
3
, c
8
u
20
+ u
19
+ ··· + 14u + 4
c
4
u
20
+ 6u
19
+ ··· + 60u + 13
c
5
u
20
+ u
19
+ ··· + 16u + 4
c
6
u
20
+ 8u
19
+ ··· + u + 1
c
7
, c
12
u
20
+ u
19
+ ··· − u + 1
c
9
, c
10
u
20
− 8u
19
+ ··· − u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
20
+ 16y
19
+ ··· + 898y + 169
c
2
, c
11
y
20
− 7y
19
+ ··· + 14y + 1
c
3
, c
8
y
20
+ 9y
19
+ ··· − 140y + 16
c
5
y
20
+ 17y
19
+ ··· + 24y + 16
c
6
, c
9
, c
10
y
20
+ 12y
19
+ ··· + 17y + 1
c
7
, c
12
y
20
− 5y
19
+ ··· − 11y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.259172 + 0.789945I
a = −0.453090 − 1.212650I
b = 0.649863 − 0.751845I
−0.42253 − 4.22906I −5.35058 + 7.44660I
u = −0.259172 − 0.789945I
a = −0.453090 + 1.212650I
b = 0.649863 + 0.751845I
−0.42253 + 4.22906I −5.35058 − 7.44660I
u = −0.895921 + 0.782105I
a = 0.130078 − 1.052420I
b = 1.43054 − 0.71304I
3.95309 − 4.42208I 0.03830 + 2.60323I
u = −0.895921 − 0.782105I
a = 0.130078 + 1.052420I
b = 1.43054 + 0.71304I
3.95309 + 4.42208I 0.03830 − 2.60323I
u = −0.006166 + 0.794036I
a = 1.42462 + 0.70783I
b = 0.202350 + 0.972159I
−0.21086 + 3.04136I 2.18801 − 12.60182I
u = −0.006166 − 0.794036I
a = 1.42462 − 0.70783I
b = 0.202350 − 0.972159I
−0.21086 − 3.04136I 2.18801 + 12.60182I
u = −0.861598 + 1.089010I
a = 0.674552 − 0.746963I
b = 1.272090 − 0.051603I
3.03798 − 2.11515I 2.18905 + 2.74412I
u = −0.861598 − 1.089010I
a = 0.674552 + 0.746963I
b = 1.272090 + 0.051603I
3.03798 + 2.11515I 2.18905 − 2.74412I
u = −0.03594 + 1.46709I
a = −0.396238 − 0.317108I
b = −0.121323 − 0.406539I
−7.89022 − 2.18840I −12.61867 − 3.03439I
u = −0.03594 − 1.46709I
a = −0.396238 + 0.317108I
b = −0.121323 + 0.406539I
−7.89022 + 2.18840I −12.61867 + 3.03439I
20
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.23438 + 0.88194I
a = −0.580747 + 0.471657I
b = −1.243720 − 0.010639I
5.17052 − 1.53215I 3.03837 + 1.45772I
u = −1.23438 − 0.88194I
a = −0.580747 − 0.471657I
b = −1.243720 + 0.010639I
5.17052 + 1.53215I 3.03837 − 1.45772I
u = −1.01176 + 1.13887I
a = −0.434877 + 1.068860I
b = −1.37724 + 0.69674I
4.29670 − 6.43818I 0.75875 + 3.16318I
u = −1.01176 − 1.13887I
a = −0.434877 − 1.068860I
b = −1.37724 − 0.69674I
4.29670 + 6.43818I 0.75875 − 3.16318I
u = 0.008780 + 0.407930I
a = 1.72037 + 2.51790I
b = −0.612822 + 0.965409I
−3.50293 + 2.03494I −8.02468 − 3.62963I
u = 0.008780 − 0.407930I
a = 1.72037 − 2.51790I
b = −0.612822 − 0.965409I
−3.50293 − 2.03494I −8.02468 + 3.62963I
u = 0.305216 + 0.259032I
a = −0.09291 − 3.82400I
b = 0.534986 − 1.018830I
0.87428 + 7.54309I −2.98032 − 4.37955I
u = 0.305216 − 0.259032I
a = −0.09291 + 3.82400I
b = 0.534986 + 1.018830I
0.87428 − 7.54309I −2.98032 + 4.37955I
u = −0.00905 + 1.65571I
a = 0.008243 + 0.541451I
b = −0.234725 + 0.401012I
−5.30604 − 5.88407I −4.73823 + 11.00994I
u = −0.00905 − 1.65571I
a = 0.008243 − 0.541451I
b = −0.234725 − 0.401012I
−5.30604 + 5.88407I −4.73823 − 11.00994I
21
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
12
+ 3u
11
+ ··· − 2u + 1)
4
)(u
20
− 6u
19
+ ··· − 60u + 13)
· (u
34
− 15u
33
+ ··· − 260u + 16)
c
2
, c
11
(u
20
+ u
19
+ ··· − 2u + 1)(u
34
− 3u
33
+ ··· + u + 1)
· (u
48
− 3u
47
+ ··· − 1764u + 304)
c
3
, c
8
(u
20
+ u
19
+ ··· + 14u + 4)(u
34
+ u
33
+ ··· + 104u + 52)
· (u
48
− u
47
+ ··· − 10752u + 31744)
c
4
((u
12
+ 3u
11
+ ··· − 2u + 1)
4
)(u
20
+ 6u
19
+ ··· + 60u + 13)
· (u
34
− 15u
33
+ ··· − 260u + 16)
c
5
((u
2
+ u + 1)
24
)(u
20
+ u
19
+ ··· + 16u + 4)
· (u
34
− 24u
33
+ ··· − 65536u + 4096)
c
6
((u
12
− 5u
11
+ ··· + 3u
2
+ 1)
4
)(u
20
+ 8u
19
+ ··· + u + 1)
· (u
34
+ 13u
33
+ ··· + 6u + 4)
c
7
, c
12
(u
20
+ u
19
+ ··· − u + 1)(u
34
− u
33
+ ··· + 2u + 1)
· (u
48
+ u
47
+ ··· − 8u + 4)
c
9
, c
10
((u
12
− 5u
11
+ ··· + 3u
2
+ 1)
4
)(u
20
− 8u
19
+ ··· − u + 1)
· (u
34
+ 13u
33
+ ··· + 6u + 4)
22
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
((y
12
+ 9y
11
+ ··· − 6y + 1)
4
)(y
20
+ 16y
19
+ ··· + 898y + 169)
· (y
34
+ 25y
33
+ ··· + 6608y + 256)
c
2
, c
11
(y
20
− 7y
19
+ ··· + 14y + 1)(y
34
− 37y
33
+ ··· − 3y + 1)
· (y
48
− 25y
47
+ ··· − 3021104y + 92416)
c
3
, c
8
(y
20
+ 9y
19
+ ··· − 140y + 16)(y
34
+ 15y
33
+ ··· + 26832y + 2704)
· (y
48
+ 19y
47
+ ··· − 4422631424y + 1007681536)
c
5
((y
2
+ y + 1)
24
)(y
20
+ 17y
19
+ ··· + 24y + 16)
· (y
34
+ 18y
33
+ ··· + 41943040y + 16777216)
c
6
, c
9
, c
10
((y
12
+ y
11
+ ··· + 6y + 1)
4
)(y
20
+ 12y
19
+ ··· + 17y + 1)
· (y
34
+ 13y
33
+ ··· + 4y + 16)
c
7
, c
12
(y
20
− 5y
19
+ ··· − 11y + 1)(y
34
+ 9y
33
+ ··· + 24y + 1)
· (y
48
− 9y
47
+ ··· + 648y + 16)
23
