11a
227
(K11a
227
)
A knot diagram
1
Linearized knot diagam
6 1 10 7 9 2 11 5 3 8 4
Solving Sequence
2,7
6 1
3,9
10 5 4 8 11
c
6
c
1
c
2
c
9
c
5
c
4
c
8
c
11
c
3
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h11u
29
− 82u
28
+ ··· + 4b − 92, 527u
29
− 5269u
28
+ ··· + 32a + 9872, u
30
− 11u
29
+ ··· + 192u − 32i
I
u
2
= h11652760173a
9
u
5
+ 89806445727a
8
u
5
+ ··· + 133817291376a + 47860828523,
2a
8
u
5
− 21a
7
u
5
+ ··· − 94a − 49, u
6
+ u
5
− u
4
− 2u
3
+ u + 1i
I
u
3
= hu
18
− 2u
17
+ ··· + b − 5, −5u
18
+ u
17
+ ··· + a + 5, u
19
− 6u
17
+ ··· − 3u − 1i
* 3 irreducible components of dim
C
= 0, with total 109 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
= h11u
29
− 82u
28
+ · · · + 4b − 92, 527u
29
− 5269u
28
+ · · · + 32a +
9872, u
30
− 11u
29
+ · · · + 192u − 32i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
−u
2
a
1
=
u
−u
3
+ u
a
3
=
−u
3
u
5
− u
3
+ u
a
9
=
−
527
32
u
29
+
5269
32
u
28
+ ··· + 1810u −
617
2
−
11
4
u
29
+
41
2
u
28
+ ··· −
141
2
u + 23
a
10
=
817
32
u
29
−
8075
32
u
28
+ ··· − 3086u +
1095
2
11
4
u
29
−
51
4
u
28
+ ··· +
2501
2
u − 297
a
5
=
293
32
u
29
−
2921
32
u
28
+ ··· − 1146u + 208
−
45
16
u
29
+
529
16
u
28
+ ··· + 840u − 167
a
4
=
203
32
u
29
−
1863
32
u
28
+ ··· − 306u + 41
−
45
16
u
29
+
529
16
u
28
+ ··· + 840u − 167
a
8
=
−34.7500u
29
+ 340.063u
28
+ ··· + 3656.25u − 618.500
41
16
u
29
−
545
16
u
28
+ ··· −
2761
2
u + 306
a
11
=
−
161
32
u
29
+
1303
32
u
28
+ ··· −
405
2
u + 74
43
4
u
29
−
877
8
u
28
+ ··· − 1606u + 307
a
11
=
−
161
32
u
29
+
1303
32
u
28
+ ··· −
405
2
u + 74
43
4
u
29
−
877
8
u
28
+ ··· − 1606u + 307
(ii) Obstruction class = −1
(iii) Cusp Shapes =
125
4
u
29
−
1153
4
u
28
+ ··· − 1098u + 74
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
u
30
− 11u
29
+ ··· + 192u − 32
c
2
u
30
+ 15u
29
+ ··· + 6656u + 1024
c
3
, c
5
, c
8
c
9
u
30
+ u
29
+ ··· − 4u − 1
c
4
, c
11
u
30
− u
29
+ ··· + 5u − 1
c
7
, c
10
u
30
− 15u
29
+ ··· − 608u + 64
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
30
− 15y
29
+ ··· − 6656y + 1024
c
2
y
30
+ y
29
+ ··· − 26607616y + 1048576
c
3
, c
5
, c
8
c
9
y
30
− 19y
29
+ ··· − 10y + 1
c
4
, c
11
y
30
+ 15y
29
+ ··· − 63y + 1
c
7
, c
10
y
30
+ 11y
29
+ ··· − 54272y + 4096
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.354016 + 0.952222I
a = −0.347030 − 0.166142I
b = −1.70462 + 0.71163I
−0.73838 + 11.58090I −10.77845 − 6.50285I
u = 0.354016 − 0.952222I
a = −0.347030 + 0.166142I
b = −1.70462 − 0.71163I
−0.73838 − 11.58090I −10.77845 + 6.50285I
u = 0.665243 + 0.706437I
a = −0.249680 + 0.357056I
b = −0.033448 − 0.582987I
5.27507 + 0.27236I −4.38143 + 1.72345I
u = 0.665243 − 0.706437I
a = −0.249680 − 0.357056I
b = −0.033448 + 0.582987I
5.27507 − 0.27236I −4.38143 − 1.72345I
u = 0.831465 + 0.619805I
a = 0.566561 − 0.242853I
b = −0.287346 + 0.129330I
1.77898 − 2.42113I −7.07335 + 4.38585I
u = 0.831465 − 0.619805I
a = 0.566561 + 0.242853I
b = −0.287346 − 0.129330I
1.77898 + 2.42113I −7.07335 − 4.38585I
u = 0.296677 + 1.000260I
a = 0.420856 + 0.176492I
b = 1.67360 − 0.55405I
−3.57253 + 5.28515I −13.21757 − 4.63262I
u = 0.296677 − 1.000260I
a = 0.420856 − 0.176492I
b = 1.67360 + 0.55405I
−3.57253 − 5.28515I −13.21757 + 4.63262I
u = −0.926080 + 0.166520I
a = 0.558199 + 0.794477I
b = −0.298536 − 0.006553I
−0.275678 + 0.763775I −12.33614 − 0.51179I
u = −0.926080 − 0.166520I
a = 0.558199 − 0.794477I
b = −0.298536 + 0.006553I
−0.275678 − 0.763775I −12.33614 + 0.51179I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.958919 + 0.665702I
a = −0.749615 − 0.365794I
b = 0.094148 + 0.346299I
4.42305 − 5.51991I −5.37311 + 3.55740I
u = 0.958919 − 0.665702I
a = −0.749615 + 0.365794I
b = 0.094148 − 0.346299I
4.42305 + 5.51991I −5.37311 − 3.55740I
u = 0.782901 + 0.947325I
a = −0.338805 + 0.292526I
b = −0.616787 + 0.323590I
2.03512 − 6.57158I −13.1399 + 7.7803I
u = 0.782901 − 0.947325I
a = −0.338805 − 0.292526I
b = −0.616787 − 0.323590I
2.03512 + 6.57158I −13.1399 − 7.7803I
u = 0.216760 + 0.735038I
a = −0.370196 − 0.451660I
b = −1.010310 + 0.550932I
3.33461 + 1.71029I −5.29492 − 2.96109I
u = 0.216760 − 0.735038I
a = −0.370196 + 0.451660I
b = −1.010310 − 0.550932I
3.33461 − 1.71029I −5.29492 + 2.96109I
u = 1.212150 + 0.509515I
a = 1.70079 − 0.64122I
b = −1.95783 − 0.73496I
0.34945 − 6.45290I −8.62006 + 7.93871I
u = 1.212150 − 0.509515I
a = 1.70079 + 0.64122I
b = −1.95783 + 0.73496I
0.34945 + 6.45290I −8.62006 − 7.93871I
u = 0.972756 + 0.901108I
a = 0.334189 − 0.562127I
b = −0.131042 − 0.573173I
1.48873 − 0.08947I −14.6678 + 0.I
u = 0.972756 − 0.901108I
a = 0.334189 + 0.562127I
b = −0.131042 + 0.573173I
1.48873 + 0.08947I −14.6678 + 0.I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.184760 + 0.635088I
a = 1.83194 − 1.06102I
b = −1.99907 − 1.02698I
−3.2788 − 17.3495I −11.0000 + 9.7060I
u = 1.184760 − 0.635088I
a = 1.83194 + 1.06102I
b = −1.99907 + 1.02698I
−3.2788 + 17.3495I −11.0000 − 9.7060I
u = −1.338150 + 0.148812I
a = 1.75034 + 0.56831I
b = −1.97215 + 0.06859I
−6.69442 − 8.00845I −16.1183 + 5.5286I
u = −1.338150 − 0.148812I
a = 1.75034 − 0.56831I
b = −1.97215 − 0.06859I
−6.69442 + 8.00845I −16.1183 − 5.5286I
u = 1.214540 + 0.631477I
a = −1.67829 + 0.96407I
b = 1.97706 + 0.99448I
−6.38290 − 11.14710I −15.9321 + 7.3132I
u = 1.214540 − 0.631477I
a = −1.67829 − 0.96407I
b = 1.97706 − 0.99448I
−6.38290 + 11.14710I −15.9321 − 7.3132I
u = −1.44337 + 0.22944I
a = −1.50223 − 0.37543I
b = 2.10384 − 0.46294I
−9.50227 − 0.94273I 0
u = −1.44337 − 0.22944I
a = −1.50223 + 0.37543I
b = 2.10384 + 0.46294I
−9.50227 + 0.94273I 0
u = 1.48034
a = −1.77242
b = 3.14754
−7.09333 26.3310
u = −0.445504
a = 0.918337
b = 0.177465
−0.640430 −15.6030
7
II. I
u
2
= h1.17 × 10
10
a
9
u
5
+ 8.98 × 10
10
a
8
u
5
+ · · · + 1.34 × 10
11
a + 4.79 ×
10
10
, 2a
8
u
5
− 21a
7
u
5
+ · · · − 94a − 49, u
6
+ u
5
− u
4
− 2u
3
+ u + 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
−u
2
a
1
=
u
−u
3
+ u
a
3
=
−u
3
u
5
− u
3
+ u
a
9
=
a
−0.325577a
9
u
5
− 2.50919a
8
u
5
+ ··· − 3.73885a − 1.33723
a
10
=
0.183994a
9
u
5
+ 0.994553a
8
u
5
+ ··· + 3.90401a − 0.592599
−0.283072a
9
u
5
− 1.62802a
8
u
5
+ ··· − 1.40193a − 0.200904
a
5
=
1.30690a
9
u
5
+ 3.61273a
8
u
5
+ ··· + 1.47966a + 1.63608
−0.967742a
2
u
5
+ 0.516129u
5
+ ··· − 0.193548a
2
− 1.09677
a
4
=
1.30690a
9
u
5
+ 3.61273a
8
u
5
+ ··· + 1.47966a + 0.539304
−0.967742a
2
u
5
+ 0.516129u
5
+ ··· − 0.193548a
2
− 1.09677
a
8
=
−0.808536a
9
u
5
− 4.31140a
8
u
5
+ ··· − 4.22465a − 1.09622
0.634657a
9
u
5
+ 1.79927a
8
u
5
+ ··· − 0.0967500a − 1.31464
a
11
=
3.02127a
9
u
5
+ 3.28997a
8
u
5
+ ··· − 4.33881a − 0.208666
0.752285a
9
u
5
+ 3.15457a
8
u
5
+ ··· + 1.08110a − 0.182340
a
11
=
3.02127a
9
u
5
+ 3.28997a
8
u
5
+ ··· − 4.33881a − 0.208666
0.752285a
9
u
5
+ 3.15457a
8
u
5
+ ··· + 1.08110a − 0.182340
(ii) Obstruction class = −1
(iii) Cusp Shapes
=
131385956428
35791056355
a
9
u
5
+
490666283248
35791056355
a
8
u
5
+ ··· +
186855165268
35791056355
a −
517357523682
35791056355
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
(u
6
+ u
5
− u
4
− 2u
3
+ u + 1)
10
c
2
(u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 2u
2
+ u + 1)
10
c
3
, c
5
, c
8
c
9
u
60
+ u
59
+ ··· − 5088u + 1363
c
4
, c
11
u
60
− 5u
59
+ ··· + 122u + 29
c
7
, c
10
(u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1)
12
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
(y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
10
c
2
(y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
10
c
3
, c
5
, c
8
c
9
y
60
− 45y
59
+ ··· − 62677840y + 1857769
c
4
, c
11
y
60
− 9y
59
+ ··· + 41260y + 841
c
7
, c
10
(y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)
12
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.002190 + 0.295542I
a = 0.742657 + 0.425564I
b = −0.916583 + 0.350276I
−0.95285 + 3.47653I −14.9724 − 2.7044I
u = 1.002190 + 0.295542I
a = 0.45011 − 1.45671I
b = −1.49335 + 1.18033I
−0.95285 − 5.32514I −14.9724 + 4.2928I
u = 1.002190 + 0.295542I
a = −0.113184 + 0.298531I
b = 0.870721 − 0.821809I
−4.42433 − 0.92430I −18.2356 + 0.7942I
u = 1.002190 + 0.295542I
a = 1.53453 − 1.13377I
b = −0.374716 − 0.392769I
−6.49631 + 0.60627I −19.2016 − 3.6364I
u = 1.002190 + 0.295542I
a = 2.27869 + 0.35511I
b = −0.53719 − 1.73478I
−6.49631 − 2.45488I −19.2016 + 5.2249I
u = 1.002190 + 0.295542I
a = 2.27319 − 0.79694I
b = −1.58582 + 0.12211I
−0.95285 − 5.32514I −14.9724 + 4.2928I
u = 1.002190 + 0.295542I
a = −2.24008 + 1.19866I
b = 0.924059 + 0.316575I
−6.49631 − 2.45488I −19.2016 + 5.2249I
u = 1.002190 + 0.295542I
a = −2.46157 + 1.23803I
b = 1.87918 + 0.12872I
−4.42433 − 0.92430I −18.2356 + 0.7942I
u = 1.002190 + 0.295542I
a = −2.88369 + 0.36211I
b = 1.38756 + 1.45819I
−6.49631 + 0.60627I −19.2016 − 3.6364I
u = 1.002190 + 0.295542I
a = 2.53373 − 1.75241I
b = −2.41207 − 0.03768I
−0.95285 + 3.47653I −14.9724 − 2.7044I
11
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.002190 − 0.295542I
a = 0.742657 − 0.425564I
b = −0.916583 − 0.350276I
−0.95285 − 3.47653I −14.9724 + 2.7044I
u = 1.002190 − 0.295542I
a = 0.45011 + 1.45671I
b = −1.49335 − 1.18033I
−0.95285 + 5.32514I −14.9724 − 4.2928I
u = 1.002190 − 0.295542I
a = −0.113184 − 0.298531I
b = 0.870721 + 0.821809I
−4.42433 + 0.92430I −18.2356 − 0.7942I
u = 1.002190 − 0.295542I
a = 1.53453 + 1.13377I
b = −0.374716 + 0.392769I
−6.49631 − 0.60627I −19.2016 + 3.6364I
u = 1.002190 − 0.295542I
a = 2.27869 − 0.35511I
b = −0.53719 + 1.73478I
−6.49631 + 2.45488I −19.2016 − 5.2249I
u = 1.002190 − 0.295542I
a = 2.27319 + 0.79694I
b = −1.58582 − 0.12211I
−0.95285 + 5.32514I −14.9724 − 4.2928I
u = 1.002190 − 0.295542I
a = −2.24008 − 1.19866I
b = 0.924059 − 0.316575I
−6.49631 + 2.45488I −19.2016 − 5.2249I
u = 1.002190 − 0.295542I
a = −2.46157 − 1.23803I
b = 1.87918 − 0.12872I
−4.42433 + 0.92430I −18.2356 − 0.7942I
u = 1.002190 − 0.295542I
a = −2.88369 − 0.36211I
b = 1.38756 − 1.45819I
−6.49631 − 0.60627I −19.2016 + 3.6364I
u = 1.002190 − 0.295542I
a = 2.53373 + 1.75241I
b = −2.41207 + 0.03768I
−0.95285 − 3.47653I −14.9724 + 2.7044I
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.428243 + 0.664531I
a = −0.721370 − 0.709097I
b = −0.674020 + 0.107233I
2.82837 + 3.47653I −7.53897 − 2.70436I
u = −0.428243 + 0.664531I
a = −0.981105 + 0.272479I
b = −1.54329 − 1.02403I
2.82837 − 5.32514I −7.53897 + 4.29281I
u = −0.428243 + 0.664531I
a = 0.898402 + 0.565581I
b = 0.1217720 + 0.0097093I
−0.643115 − 0.924305I −10.80214 + 0.79423I
u = −0.428243 + 0.664531I
a = 0.541113 + 0.738356I
b = −1.191620 + 0.571450I
−2.71510 + 0.60627I −11.76817 − 3.63642I
u = −0.428243 + 0.664531I
a = −1.087110 − 0.251939I
b = −0.732629 − 1.185040I
2.82837 + 3.47653I −7.53897 − 2.70436I
u = −0.428243 + 0.664531I
a = −1.033070 − 0.643013I
b = −0.123020 + 0.420914I
2.82837 − 5.32514I −7.53897 + 4.29281I
u = −0.428243 + 0.664531I
a = 0.758222 + 0.096285I
b = −0.941735 − 0.247759I
−2.71510 − 2.45488I −11.76817 + 5.22487I
u = −0.428243 + 0.664531I
a = 0.742084 + 0.005860I
b = 1.196980 + 0.711653I
−0.643115 − 0.924305I −10.80214 + 0.79423I
u = −0.428243 + 0.664531I
a = −0.082662 − 0.691670I
b = 1.60311 − 0.16418I
−2.71510 − 2.45488I −11.76817 + 5.22487I
u = −0.428243 + 0.664531I
a = −0.381661 + 0.147894I
b = 1.201490 + 0.207665I
−2.71510 + 0.60627I −11.76817 − 3.63642I
13
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.428243 − 0.664531I
a = −0.721370 + 0.709097I
b = −0.674020 − 0.107233I
2.82837 − 3.47653I −7.53897 + 2.70436I
u = −0.428243 − 0.664531I
a = −0.981105 − 0.272479I
b = −1.54329 + 1.02403I
2.82837 + 5.32514I −7.53897 − 4.29281I
u = −0.428243 − 0.664531I
a = 0.898402 − 0.565581I
b = 0.1217720 − 0.0097093I
−0.643115 + 0.924305I −10.80214 − 0.79423I
u = −0.428243 − 0.664531I
a = 0.541113 − 0.738356I
b = −1.191620 − 0.571450I
−2.71510 − 0.60627I −11.76817 + 3.63642I
u = −0.428243 − 0.664531I
a = −1.087110 + 0.251939I
b = −0.732629 + 1.185040I
2.82837 − 3.47653I −7.53897 + 2.70436I
u = −0.428243 − 0.664531I
a = −1.033070 + 0.643013I
b = −0.123020 − 0.420914I
2.82837 + 5.32514I −7.53897 − 4.29281I
u = −0.428243 − 0.664531I
a = 0.758222 − 0.096285I
b = −0.941735 + 0.247759I
−2.71510 + 2.45488I −11.76817 − 5.22487I
u = −0.428243 − 0.664531I
a = 0.742084 − 0.005860I
b = 1.196980 − 0.711653I
−0.643115 + 0.924305I −10.80214 − 0.79423I
u = −0.428243 − 0.664531I
a = −0.082662 + 0.691670I
b = 1.60311 + 0.16418I
−2.71510 + 2.45488I −11.76817 − 5.22487I
u = −0.428243 − 0.664531I
a = −0.381661 − 0.147894I
b = 1.201490 − 0.207665I
−2.71510 − 0.60627I −11.76817 + 3.63642I
14
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.073950 + 0.558752I
a = −0.838779 + 0.524858I
b = 0.199489 + 0.020974I
0.93776 + 10.09390I −11.2557 − 9.0092I
u = −1.073950 + 0.558752I
a = 0.270775 + 0.632958I
b = −0.291023 + 0.542759I
0.93776 + 1.29219I −11.25569 − 2.01198I
u = −1.073950 + 0.558752I
a = 0.407608 − 0.076665I
b = −0.295194 − 0.406019I
−2.53372 + 5.69302I −14.5189 − 5.5106I
u = −1.073950 + 0.558752I
a = 1.69666 + 0.51052I
b = −1.09009 + 1.41396I
0.93776 + 1.29219I −11.25569 − 2.01198I
u = −1.073950 + 0.558752I
a = 1.54997 + 0.93925I
b = −1.183430 + 0.080798I
−4.60570 + 7.22360I −15.4849 − 9.9412I
u = −1.073950 + 0.558752I
a = 0.70760 + 1.71878I
b = −1.72104 − 0.78280I
−4.60570 + 4.16244I −15.4849 − 1.0799I
u = −1.073950 + 0.558752I
a = −1.63758 − 1.34966I
b = 1.42021 − 0.22640I
−4.60570 + 4.16244I −15.4849 − 1.0799I
u = −1.073950 + 0.558752I
a = −1.90882 − 1.13668I
b = 1.70635 − 1.05544I
−2.53372 + 5.69302I −14.5189 − 5.5106I
u = −1.073950 + 0.558752I
a = −1.38410 − 1.92597I
b = 2.20254 + 0.18452I
−4.60570 + 7.22360I −15.4849 − 9.9412I
u = −1.073950 + 0.558752I
a = 2.36946 + 1.15899I
b = −2.10666 + 1.42779I
0.93776 + 10.09390I −11.2557 − 9.0092I
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.073950 − 0.558752I
a = −0.838779 − 0.524858I
b = 0.199489 − 0.020974I
0.93776 − 10.09390I −11.2557 + 9.0092I
u = −1.073950 − 0.558752I
a = 0.270775 − 0.632958I
b = −0.291023 − 0.542759I
0.93776 − 1.29219I −11.25569 + 2.01198I
u = −1.073950 − 0.558752I
a = 0.407608 + 0.076665I
b = −0.295194 + 0.406019I
−2.53372 − 5.69302I −14.5189 + 5.5106I
u = −1.073950 − 0.558752I
a = 1.69666 − 0.51052I
b = −1.09009 − 1.41396I
0.93776 − 1.29219I −11.25569 + 2.01198I
u = −1.073950 − 0.558752I
a = 1.54997 − 0.93925I
b = −1.183430 − 0.080798I
−4.60570 − 7.22360I −15.4849 + 9.9412I
u = −1.073950 − 0.558752I
a = 0.70760 − 1.71878I
b = −1.72104 + 0.78280I
−4.60570 − 4.16244I −15.4849 + 1.0799I
u = −1.073950 − 0.558752I
a = −1.63758 + 1.34966I
b = 1.42021 + 0.22640I
−4.60570 − 4.16244I −15.4849 + 1.0799I
u = −1.073950 − 0.558752I
a = −1.90882 + 1.13668I
b = 1.70635 + 1.05544I
−2.53372 − 5.69302I −14.5189 + 5.5106I
u = −1.073950 − 0.558752I
a = −1.38410 + 1.92597I
b = 2.20254 − 0.18452I
−4.60570 − 7.22360I −15.4849 + 9.9412I
u = −1.073950 − 0.558752I
a = 2.36946 − 1.15899I
b = −2.10666 − 1.42779I
0.93776 − 10.09390I −11.2557 + 9.0092I
16
III.
I
u
3
= hu
18
−2u
17
+· · ·+b−5, −5u
18
+u
17
+· · ·+a+5, u
19
−6u
17
+· · ·−3u−1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
−u
2
a
1
=
u
−u
3
+ u
a
3
=
−u
3
u
5
− u
3
+ u
a
9
=
5u
18
− u
17
+ ··· + 4u − 5
−u
18
+ 2u
17
+ ··· + 7u + 5
a
10
=
6u
18
− 34u
16
+ ··· + 6u − 4
−u
18
+ u
17
+ ··· + 6u + 4
a
5
=
u
16
+ u
15
+ ··· − 7u + 2
−u
18
+ 6u
16
+ ··· − u − 1
a
4
=
−u
18
+ 7u
16
+ ··· − 8u + 1
−u
18
+ 6u
16
+ ··· − u − 1
a
8
=
−2u
18
− u
17
+ ··· − 13u − 5
−u
18
− u
17
+ ··· − 2u + 1
a
11
=
4u
18
+ 3u
17
+ ··· + 17u + 1
2u
18
− 10u
16
+ ··· + u + 1
a
11
=
4u
18
+ 3u
17
+ ··· + 17u + 1
2u
18
− 10u
16
+ ··· + u + 1
(ii) Obstruction class = 1
(iii) Cusp Shapes
= 7u
18
−8u
17
−41u
16
+ 52u
15
+ 109u
14
−159u
13
−185u
12
+ 301u
11
+ 222u
10
−378u
9
−
214u
8
+ 340u
7
+ 185u
6
− 221u
5
− 136u
4
+ 106u
3
+ 68u
2
− 25u − 27
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
19
− 6u
17
+ ··· − 3u + 1
c
2
u
19
+ 12u
18
+ ··· + 15u + 1
c
3
, c
8
u
19
− u
18
+ ··· − 7u
2
+ 1
c
4
, c
11
u
19
− u
18
+ ··· − 5u − 1
c
5
, c
9
u
19
+ u
18
+ ··· + 7u
2
− 1
c
6
u
19
− 6u
17
+ ··· − 3u − 1
c
7
u
19
− 4u
18
+ ··· − 2u + 1
c
10
u
19
+ 4u
18
+ ··· − 2u − 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
6
y
19
− 12y
18
+ ··· + 15y −1
c
2
y
19
− 16y
17
+ ··· + 39y −1
c
3
, c
5
, c
8
c
9
y
19
− 19y
18
+ ··· + 14y −1
c
4
, c
11
y
19
− y
18
+ ··· + 19y −1
c
7
, c
10
y
19
+ 8y
18
+ ··· − 14y −1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.967261 + 0.354798I
a = −2.25280 + 0.77715I
b = 0.723993 + 1.182090I
−5.96459 − 0.14794I −11.82997 + 4.86845I
u = 0.967261 − 0.354798I
a = −2.25280 − 0.77715I
b = 0.723993 − 1.182090I
−5.96459 + 0.14794I −11.82997 − 4.86845I
u = 0.859964 + 0.270094I
a = 2.44861 − 0.38201I
b = −0.214129 − 0.865610I
−5.42770 − 2.49496I −9.36645 + 5.70226I
u = 0.859964 − 0.270094I
a = 2.44861 + 0.38201I
b = −0.214129 + 0.865610I
−5.42770 + 2.49496I −9.36645 − 5.70226I
u = 0.799111 + 0.756170I
a = −0.712718 − 0.194814I
b = −0.667283 + 0.538318I
2.87601 − 5.72258I −9.05355 + 4.91542I
u = 0.799111 − 0.756170I
a = −0.712718 + 0.194814I
b = −0.667283 − 0.538318I
2.87601 + 5.72258I −9.05355 − 4.91542I
u = −0.524497 + 0.661152I
a = −0.533158 − 0.064524I
b = 1.086980 − 0.067202I
−2.75709 − 1.00041I −12.04366 + 0.13880I
u = −0.524497 − 0.661152I
a = −0.533158 + 0.064524I
b = 1.086980 + 0.067202I
−2.75709 + 1.00041I −12.04366 − 0.13880I
u = −1.093670 + 0.388336I
a = 1.87002 + 1.21245I
b = −2.20612 − 0.26942I
−0.93178 + 6.58854I −14.8946 − 10.5687I
u = −1.093670 − 0.388336I
a = 1.87002 − 1.21245I
b = −2.20612 + 0.26942I
−0.93178 − 6.58854I −14.8946 + 10.5687I
20
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −1.041770 + 0.569580I
a = −1.20132 − 1.51146I
b = 1.42965 + 0.24889I
−4.29805 + 5.80588I −12.82283 − 4.90465I
u = −1.041770 − 0.569580I
a = −1.20132 + 1.51146I
b = 1.42965 − 0.24889I
−4.29805 − 5.80588I −12.82283 + 4.90465I
u = −0.701288 + 0.304921I
a = 1.73597 + 0.54576I
b = −1.47018 − 0.11319I
0.58710 − 3.61548I −7.77111 + 2.87703I
u = −0.701288 − 0.304921I
a = 1.73597 − 0.54576I
b = −1.47018 + 0.11319I
0.58710 + 3.61548I −7.77111 − 2.87703I
u = 0.959396 + 0.782749I
a = 0.576822 − 0.442112I
b = −0.293446 − 0.948439I
2.39322 − 0.08960I −4.76406 − 0.93292I
u = 0.959396 − 0.782749I
a = 0.576822 + 0.442112I
b = −0.293446 + 0.948439I
2.39322 + 0.08960I −4.76406 + 0.93292I
u = 1.39483
a = −1.58672
b = 1.86590
−9.09201 −15.7390
u = −1.45435
a = −1.89251
b = 3.24994
−7.18999 −56.9650
u = −0.389498
a = −2.38361
b = 1.10524
−2.73039 −14.2040
21
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
6
+ u
5
− u
4
− 2u
3
+ u + 1)
10
)(u
19
− 6u
17
+ ··· − 3u + 1)
· (u
30
− 11u
29
+ ··· + 192u − 32)
c
2
((u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 2u
2
+ u + 1)
10
)(u
19
+ 12u
18
+ ··· + 15u + 1)
· (u
30
+ 15u
29
+ ··· + 6656u + 1024)
c
3
, c
8
(u
19
− u
18
+ ··· − 7u
2
+ 1)(u
30
+ u
29
+ ··· − 4u − 1)
· (u
60
+ u
59
+ ··· − 5088u + 1363)
c
4
, c
11
(u
19
− u
18
+ ··· − 5u − 1)(u
30
− u
29
+ ··· + 5u − 1)
· (u
60
− 5u
59
+ ··· + 122u + 29)
c
5
, c
9
(u
19
+ u
18
+ ··· + 7u
2
− 1)(u
30
+ u
29
+ ··· − 4u − 1)
· (u
60
+ u
59
+ ··· − 5088u + 1363)
c
6
((u
6
+ u
5
− u
4
− 2u
3
+ u + 1)
10
)(u
19
− 6u
17
+ ··· − 3u − 1)
· (u
30
− 11u
29
+ ··· + 192u − 32)
c
7
((u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1)
12
)(u
19
− 4u
18
+ ··· − 2u + 1)
· (u
30
− 15u
29
+ ··· − 608u + 64)
c
10
((u
5
+ u
4
+ 2u
3
+ u
2
+ u + 1)
12
)(u
19
+ 4u
18
+ ··· − 2u − 1)
· (u
30
− 15u
29
+ ··· − 608u + 64)
22
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
6
((y
6
− 3y
5
+ 5y
4
− 4y
3
+ 2y
2
− y + 1)
10
)(y
19
− 12y
18
+ ··· + 15y −1)
· (y
30
− 15y
29
+ ··· − 6656y + 1024)
c
2
((y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
10
)(y
19
− 16y
17
+ ··· + 39y −1)
· (y
30
+ y
29
+ ··· − 26607616y + 1048576)
c
3
, c
5
, c
8
c
9
(y
19
− 19y
18
+ ··· + 14y −1)(y
30
− 19y
29
+ ··· − 10y + 1)
· (y
60
− 45y
59
+ ··· − 62677840y + 1857769)
c
4
, c
11
(y
19
− y
18
+ ··· + 19y −1)(y
30
+ 15y
29
+ ··· − 63y + 1)
· (y
60
− 9y
59
+ ··· + 41260y + 841)
c
7
, c
10
((y
5
+ 3y
4
+ 4y
3
+ y
2
− y −1)
12
)(y
19
+ 8y
18
+ ··· − 14y −1)
· (y
30
+ 11y
29
+ ··· − 54272y + 4096)
23
