11a
125
(K11a
125
)
A knot diagram
1
Linearized knot diagam
5 1 10 8 2 11 3 6 7 4 9
Solving Sequence
3,10 4,7
8 5 11 6 9 1 2
c
3
c
7
c
4
c
10
c
6
c
9
c
11
c
2
c
1
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h1.84217 × 10
296
u
107
− 5.87629 × 10
295
u
106
+ ··· + 2.24754 × 10
296
b − 2.30103 × 10
297
,
6.03695 × 10
298
u
107
+ 3.59147 × 10
297
u
106
+ ··· + 1.32605 × 10
298
a − 3.33008 × 10
300
,
u
108
+ u
107
+ ··· − 83u − 59i
I
u
2
= hu
20
− 5u
18
+ ··· − u
2
+ b, 46965u
20
+ 32047u
19
+ ··· + 721a + 56452, u
21
− 6u
19
+ ··· + u − 1i
* 2 irreducible components of dim
C
= 0, with total 129 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
= h1.84 × 10
296
u
107
− 5.88 × 10
295
u
106
+ · · · + 2.25 × 10
296
b − 2.30 ×
10
297
, 6.04 × 10
298
u
107
+ 3.59 × 10
297
u
106
+ · · · + 1.33 × 10
298
a − 3.33 ×
10
300
, u
108
+ u
107
+ · · · − 83u − 59i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
7
=
−4.55258u
107
− 0.270839u
106
+ ··· + 163.283u + 251.128
−0.819637u
107
+ 0.261454u
106
+ ··· + 30.2031u + 10.2380
a
8
=
−5.37222u
107
− 0.00938531u
106
+ ··· + 193.486u + 261.366
−0.819637u
107
+ 0.261454u
106
+ ··· + 30.2031u + 10.2380
a
5
=
−6.62397u
107
− 0.205128u
106
+ ··· + 183.752u + 334.707
−2.17222u
107
− 0.986012u
106
+ ··· − 26.5179u + 197.181
a
11
=
−u
−u
3
+ u
a
6
=
−7.55781u
107
− 0.253371u
106
+ ··· + 270.915u + 397.061
−0.697834u
107
− 0.250517u
106
+ ··· − 3.85380u + 42.6441
a
9
=
3.16584u
107
− 1.50394u
106
+ ··· − 237.293u − 92.9237
0.781089u
107
− 0.0600302u
106
+ ··· + 9.43331u − 62.4900
a
1
=
7.79988u
107
+ 1.89245u
106
+ ··· − 175.618u − 567.148
−1.58619u
107
+ 0.235617u
106
+ ··· + 70.8587u + 86.7375
a
2
=
10.8546u
107
+ 1.12089u
106
+ ··· − 350.252u − 602.137
2.49334u
107
+ 1.40596u
106
+ ··· + 40.6084u − 227.462
a
2
=
10.8546u
107
+ 1.12089u
106
+ ··· − 350.252u − 602.137
2.49334u
107
+ 1.40596u
106
+ ··· + 40.6084u − 227.462
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.190628u
107
+ 5.28530u
106
+ ··· + 317.291u − 531.973
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
108
+ 3u
107
+ ··· − 10u − 1
c
2
u
108
+ 49u
107
+ ··· − 24u + 1
c
3
, c
10
u
108
+ u
107
+ ··· − 83u − 59
c
4
u
108
+ u
107
+ ··· + 9996u + 1033
c
6
u
108
+ 5u
107
+ ··· − 40u + 1
c
7
u
108
+ u
107
+ ··· − 47121u − 5231
c
8
u
108
− 3u
107
+ ··· − 554u − 1
c
9
u
108
+ 6u
107
+ ··· + 4092u + 176
c
11
u
108
+ 11u
107
+ ··· + 776u + 56
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
108
− 49y
107
+ ··· + 24y + 1
c
2
y
108
+ 27y
107
+ ··· + 756y + 1
c
3
, c
10
y
108
− 65y
107
+ ··· − 78869y + 3481
c
4
y
108
− 5y
107
+ ··· + 107533242y + 1067089
c
6
y
108
− 9y
107
+ ··· − 94y + 1
c
7
y
108
+ 19y
107
+ ··· + 1542196425y + 27363361
c
8
y
108
− 13y
107
+ ··· − 315250y + 1
c
9
y
108
− 22y
107
+ ··· − 5774384y + 30976
c
11
y
108
− 3y
107
+ ··· + 93344y + 3136
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.974152 + 0.261389I
a = −0.03692 + 2.17388I
b = 0.669974 + 0.537090I
−0.02612 + 8.87697I 0
u = −0.974152 − 0.261389I
a = −0.03692 − 2.17388I
b = 0.669974 − 0.537090I
−0.02612 − 8.87697I 0
u = 0.947317 + 0.290364I
a = −0.05100 + 1.88670I
b = −0.525756 + 0.430022I
1.77660 − 4.02492I 0
u = 0.947317 − 0.290364I
a = −0.05100 − 1.88670I
b = −0.525756 − 0.430022I
1.77660 + 4.02492I 0
u = −0.821343 + 0.549763I
a = −0.183712 − 0.013594I
b = −0.810583 + 0.713014I
−0.01641 + 4.09614I 0
u = −0.821343 − 0.549763I
a = −0.183712 + 0.013594I
b = −0.810583 − 0.713014I
−0.01641 − 4.09614I 0
u = 0.984228 + 0.010410I
a = 1.18874 + 0.90018I
b = −0.322699 + 1.182530I
−4.12669 − 3.67423I 0
u = 0.984228 − 0.010410I
a = 1.18874 − 0.90018I
b = −0.322699 − 1.182530I
−4.12669 + 3.67423I 0
u = −0.962477 + 0.079682I
a = −0.757415 − 0.539055I
b = 0.58214 − 1.44592I
−1.112250 + 0.388404I 0
u = −0.962477 − 0.079682I
a = −0.757415 + 0.539055I
b = 0.58214 + 1.44592I
−1.112250 − 0.388404I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.870704 + 0.410766I
a = −0.279670 + 1.209090I
b = −0.103162 + 0.129699I
1.64684 − 2.43797I 0
u = 0.870704 − 0.410766I
a = −0.279670 − 1.209090I
b = −0.103162 − 0.129699I
1.64684 + 2.43797I 0
u = 0.726983 + 0.627227I
a = 0.509551 − 0.049885I
b = 0.596579 + 1.069470I
−0.029889 − 0.257369I 0
u = 0.726983 − 0.627227I
a = 0.509551 + 0.049885I
b = 0.596579 − 1.069470I
−0.029889 + 0.257369I 0
u = −0.127716 + 1.038120I
a = −0.620092 + 0.238590I
b = 0.737287 + 0.208133I
3.55118 + 3.28339I 0
u = −0.127716 − 1.038120I
a = −0.620092 − 0.238590I
b = 0.737287 − 0.208133I
3.55118 − 3.28339I 0
u = 0.904734 + 0.285757I
a = 0.636986 + 0.528069I
b = −2.20932 − 0.22643I
0.67232 − 8.72797I 0
u = 0.904734 − 0.285757I
a = 0.636986 − 0.528069I
b = −2.20932 + 0.22643I
0.67232 + 8.72797I 0
u = −0.910645 + 0.192506I
a = −0.58789 + 1.78120I
b = 0.385944 + 0.804425I
−2.35042 + 2.26476I 0
u = −0.910645 − 0.192506I
a = −0.58789 − 1.78120I
b = 0.385944 − 0.804425I
−2.35042 − 2.26476I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.903214 + 0.219783I
a = −0.543275 + 0.336286I
b = 2.17612 − 0.58688I
1.86423 + 3.20245I 0
u = −0.903214 − 0.219783I
a = −0.543275 − 0.336286I
b = 2.17612 + 0.58688I
1.86423 − 3.20245I 0
u = 1.066670 + 0.106723I
a = 1.187770 − 0.127686I
b = −0.630782 − 0.730192I
−4.84250 − 3.77355I 0
u = 1.066670 − 0.106723I
a = 1.187770 + 0.127686I
b = −0.630782 + 0.730192I
−4.84250 + 3.77355I 0
u = −0.895542 + 0.603288I
a = 0.630755 + 0.940432I
b = −0.061847 − 0.334834I
−0.85408 − 1.78433I 0
u = −0.895542 − 0.603288I
a = 0.630755 − 0.940432I
b = −0.061847 + 0.334834I
−0.85408 + 1.78433I 0
u = 0.534951 + 0.717555I
a = 0.906959 − 0.057499I
b = −0.006657 + 1.274660I
0.45026 − 4.79181I 0
u = 0.534951 − 0.717555I
a = 0.906959 + 0.057499I
b = −0.006657 − 1.274660I
0.45026 + 4.79181I 0
u = 0.978238 + 0.528279I
a = 0.830922 − 0.731888I
b = 0.130929 + 1.208130I
−4.29595 + 1.62915I 0
u = 0.978238 − 0.528279I
a = 0.830922 + 0.731888I
b = 0.130929 − 1.208130I
−4.29595 − 1.62915I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.132879 + 1.112260I
a = 0.490463 + 0.469192I
b = −0.676211 − 0.179571I
4.46641 + 2.42852I 0
u = 0.132879 − 1.112260I
a = 0.490463 − 0.469192I
b = −0.676211 + 0.179571I
4.46641 − 2.42852I 0
u = −0.163742 + 1.117370I
a = −0.541417 + 0.966843I
b = 0.807554 − 1.027800I
0.81340 − 12.59150I 0
u = −0.163742 − 1.117370I
a = −0.541417 − 0.966843I
b = 0.807554 + 1.027800I
0.81340 + 12.59150I 0
u = 0.169000 + 1.121780I
a = 0.518616 + 0.885953I
b = −0.779199 − 0.872057I
2.97894 + 6.84382I 0
u = 0.169000 − 1.121780I
a = 0.518616 − 0.885953I
b = −0.779199 + 0.872057I
2.97894 − 6.84382I 0
u = −0.197636 + 1.125790I
a = −0.304167 + 0.875966I
b = 0.421882 − 0.817706I
−3.21665 − 3.93627I 0
u = −0.197636 − 1.125790I
a = −0.304167 − 0.875966I
b = 0.421882 + 0.817706I
−3.21665 + 3.93627I 0
u = −0.834451
a = 0.489255
b = −0.665164
−1.38852 0
u = −0.398165 + 0.716767I
a = −1.019530 − 0.052785I
b = 0.269627 + 1.067180I
1.014240 + 0.642379I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.398165 − 0.716767I
a = −1.019530 + 0.052785I
b = 0.269627 − 1.067180I
1.014240 − 0.642379I 0
u = 1.120110 + 0.400495I
a = 1.256760 + 0.503964I
b = −1.32125 + 1.02155I
−3.30658 − 4.72348I 0
u = 1.120110 − 0.400495I
a = 1.256760 − 0.503964I
b = −1.32125 − 1.02155I
−3.30658 + 4.72348I 0
u = −1.133440 + 0.447556I
a = −1.40826 + 0.51127I
b = 1.33693 + 1.47390I
−4.55602 + 8.69100I 0
u = −1.133440 − 0.447556I
a = −1.40826 − 0.51127I
b = 1.33693 − 1.47390I
−4.55602 − 8.69100I 0
u = −0.735283 + 0.258478I
a = 0.131993 − 1.382150I
b = −0.91333 − 1.27864I
2.25905 − 0.80230I 0
u = −0.735283 − 0.258478I
a = 0.131993 + 1.382150I
b = −0.91333 + 1.27864I
2.25905 + 0.80230I 0
u = 1.136570 + 0.494217I
a = 1.232080 − 0.166947I
b = −0.27028 + 1.43055I
−5.27860 − 5.21926I 0
u = 1.136570 − 0.494217I
a = 1.232080 + 0.166947I
b = −0.27028 − 1.43055I
−5.27860 + 5.21926I 0
u = 1.194790 + 0.353430I
a = 1.217590 + 0.419263I
b = −0.797116 + 0.838560I
−3.57518 − 4.92310I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.194790 − 0.353430I
a = 1.217590 − 0.419263I
b = −0.797116 − 0.838560I
−3.57518 + 4.92310I 0
u = −1.073590 + 0.645480I
a = −0.696546 − 0.301950I
b = 0.115944 + 1.063470I
−1.85031 + 2.56322I 0
u = −1.073590 − 0.645480I
a = −0.696546 + 0.301950I
b = 0.115944 − 1.063470I
−1.85031 − 2.56322I 0
u = −1.167860 + 0.453399I
a = −1.44149 + 0.26526I
b = 0.80245 + 1.59814I
−5.45176 + 2.92622I 0
u = −1.167860 − 0.453399I
a = −1.44149 − 0.26526I
b = 0.80245 − 1.59814I
−5.45176 − 2.92622I 0
u = −1.240790 + 0.240630I
a = 0.534776 − 0.182654I
b = −1.31764 − 1.44251I
−1.79007 + 3.25272I 0
u = −1.240790 − 0.240630I
a = 0.534776 + 0.182654I
b = −1.31764 + 1.44251I
−1.79007 − 3.25272I 0
u = 0.650808 + 0.342791I
a = −0.34559 − 1.62139I
b = 1.19891 − 0.98678I
1.33081 + 5.80685I 0. − 2.96583I
u = 0.650808 − 0.342791I
a = −0.34559 + 1.62139I
b = 1.19891 + 0.98678I
1.33081 − 5.80685I 0. + 2.96583I
u = −1.246090 + 0.227495I
a = −1.342510 + 0.414670I
b = 0.294925 + 0.427196I
−5.57876 + 2.04823I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.246090 − 0.227495I
a = −1.342510 − 0.414670I
b = 0.294925 − 0.427196I
−5.57876 − 2.04823I 0
u = 1.230250 + 0.309018I
a = −0.629731 − 0.227256I
b = 1.05197 − 1.70214I
−3.85058 − 9.33974I 0
u = 1.230250 − 0.309018I
a = −0.629731 + 0.227256I
b = 1.05197 + 1.70214I
−3.85058 + 9.33974I 0
u = −0.589715 + 0.333188I
a = 0.771112 − 0.727221I
b = −0.700623 + 0.496327I
−1.78626 + 0.19440I −6.62499 − 2.10710I
u = −0.589715 − 0.333188I
a = 0.771112 + 0.727221I
b = −0.700623 − 0.496327I
−1.78626 − 0.19440I −6.62499 + 2.10710I
u = −0.351167 + 0.578931I
a = 0.78828 + 1.37252I
b = −0.829992 − 0.595666I
0.49504 + 6.34073I −1.73992 − 6.59022I
u = −0.351167 − 0.578931I
a = 0.78828 − 1.37252I
b = −0.829992 + 0.595666I
0.49504 − 6.34073I −1.73992 + 6.59022I
u = −0.621401 + 0.199241I
a = 2.07344 − 0.92194I
b = −1.201380 + 0.401495I
1.06241 − 6.45710I 0. + 1.42723I
u = −0.621401 − 0.199241I
a = 2.07344 + 0.92194I
b = −1.201380 − 0.401495I
1.06241 + 6.45710I 0. − 1.42723I
u = −0.052871 + 0.646559I
a = 0.41145 − 1.50671I
b = −0.382161 + 1.102240I
−2.32226 + 1.24315I −7.51601 − 1.77666I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.052871 − 0.646559I
a = 0.41145 + 1.50671I
b = −0.382161 − 1.102240I
−2.32226 − 1.24315I −7.51601 + 1.77666I
u = −1.326700 + 0.305400I
a = −1.235880 + 0.564675I
b = 0.259224 + 0.925110I
−5.13430 + 8.04503I 0
u = −1.326700 − 0.305400I
a = −1.235880 − 0.564675I
b = 0.259224 − 0.925110I
−5.13430 − 8.04503I 0
u = 1.317900 + 0.402678I
a = 1.078710 + 0.489570I
b = −0.474582 + 1.090480I
−3.99132 − 4.54373I 0
u = 1.317900 − 0.402678I
a = 1.078710 − 0.489570I
b = −0.474582 − 1.090480I
−3.99132 + 4.54373I 0
u = −0.179585 + 0.579606I
a = 0.83381 − 1.86662I
b = −0.947899 + 0.787439I
−1.83419 − 4.63645I −4.58372 + 7.30891I
u = −0.179585 − 0.579606I
a = 0.83381 + 1.86662I
b = −0.947899 − 0.787439I
−1.83419 + 4.63645I −4.58372 − 7.30891I
u = 0.568576 + 0.208009I
a = −2.01454 − 0.40120I
b = 1.136210 + 0.244875I
2.86820 + 1.36185I 3.07135 + 2.06335I
u = 0.568576 − 0.208009I
a = −2.01454 + 0.40120I
b = 1.136210 − 0.244875I
2.86820 − 1.36185I 3.07135 − 2.06335I
u = 1.368310 + 0.298986I
a = −0.624843 − 0.019539I
b = 0.448426 − 1.103470I
−8.89731 − 0.89969I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.368310 − 0.298986I
a = −0.624843 + 0.019539I
b = 0.448426 + 1.103470I
−8.89731 + 0.89969I 0
u = 0.435771 + 0.408529I
a = −1.26938 + 1.01935I
b = 0.914517 − 0.262108I
2.65024 − 1.18829I 2.48161 + 2.04057I
u = 0.435771 − 0.408529I
a = −1.26938 − 1.01935I
b = 0.914517 + 0.262108I
2.65024 + 1.18829I 2.48161 − 2.04057I
u = −1.310200 + 0.507870I
a = 0.687774 − 0.140558I
b = −1.022390 − 0.630758I
−0.17375 + 2.12643I 0
u = −1.310200 − 0.507870I
a = 0.687774 + 0.140558I
b = −1.022390 + 0.630758I
−0.17375 − 2.12643I 0
u = 1.30647 + 0.56763I
a = −0.847975 − 0.175210I
b = 1.050390 − 0.899685I
0.76601 − 8.29993I 0
u = 1.30647 − 0.56763I
a = −0.847975 + 0.175210I
b = 1.050390 + 0.899685I
0.76601 + 8.29993I 0
u = 1.30666 + 0.59592I
a = −1.114890 − 0.225093I
b = 1.01748 − 1.35533I
−0.60805 − 12.89860I 0
u = 1.30666 − 0.59592I
a = −1.114890 + 0.225093I
b = 1.01748 + 1.35533I
−0.60805 + 12.89860I 0
u = −1.30939 + 0.59543I
a = 1.086590 − 0.077025I
b = −0.80339 − 1.23187I
−6.77231 + 10.02240I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.30939 − 0.59543I
a = 1.086590 + 0.077025I
b = −0.80339 + 1.23187I
−6.77231 − 10.02240I 0
u = −1.30900 + 0.59703I
a = 1.179420 − 0.236168I
b = −0.99652 − 1.46631I
−2.7876 + 18.6455I 0
u = −1.30900 − 0.59703I
a = 1.179420 + 0.236168I
b = −0.99652 + 1.46631I
−2.7876 − 18.6455I 0
u = −1.44914 + 0.24366I
a = 0.550715 + 0.054229I
b = −0.104588 − 0.667664I
−2.85677 − 1.64370I 0
u = −1.44914 − 0.24366I
a = 0.550715 − 0.054229I
b = −0.104588 + 0.667664I
−2.85677 + 1.64370I 0
u = −0.027355 + 0.526426I
a = −1.27042 − 1.03315I
b = 0.397552 + 0.647777I
−0.10044 + 1.46604I −1.33207 − 4.65115I
u = −0.027355 − 0.526426I
a = −1.27042 + 1.03315I
b = 0.397552 − 0.647777I
−0.10044 − 1.46604I −1.33207 + 4.65115I
u = 0.296819 + 0.409793I
a = −0.83453 − 2.24685I
b = 0.972948 + 0.114369I
−0.86286 + 1.24545I 0.709038 + 0.323843I
u = 0.296819 − 0.409793I
a = −0.83453 + 2.24685I
b = 0.972948 − 0.114369I
−0.86286 − 1.24545I 0.709038 − 0.323843I
u = −1.35572 + 0.64284I
a = −0.609435 + 0.254910I
b = 0.513726 + 0.977254I
−0.11523 + 4.15027I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.35572 − 0.64284I
a = −0.609435 − 0.254910I
b = 0.513726 − 0.977254I
−0.11523 − 4.15027I 0
u = 1.47738 + 0.29180I
a = −0.576871 + 0.099376I
b = −0.086794 − 0.812436I
−4.87730 + 7.27293I 0
u = 1.47738 − 0.29180I
a = −0.576871 − 0.099376I
b = −0.086794 + 0.812436I
−4.87730 − 7.27293I 0
u = 1.40109 + 0.57788I
a = 0.653418 + 0.408344I
b = −0.599849 + 1.050720I
−1.23164 − 9.21086I 0
u = 1.40109 − 0.57788I
a = 0.653418 − 0.408344I
b = −0.599849 − 1.050720I
−1.23164 + 9.21086I 0
u = −0.21671 + 1.52116I
a = 0.0068364 − 0.0753318I
b = −0.013805 + 0.393561I
4.02171 + 2.95510I 0
u = −0.21671 − 1.52116I
a = 0.0068364 + 0.0753318I
b = −0.013805 − 0.393561I
4.02171 − 2.95510I 0
u = 1.68133
a = −0.497549
b = 0.905522
−10.1758 0
15
II. I
u
2
= hu
20
− 5u
18
+ · · · − u
2
+ b, 46965u
20
+ 32047u
19
+ · · · + 721a +
56452, u
21
− 6u
19
+ · · · + u − 1i
(i) Arc colorings
a
3
=
1
0
a
10
=
0
u
a
4
=
1
u
2
a
7
=
−65.1387u
20
− 44.4480u
19
+ ··· − 29.5784u − 78.2968
−u
20
+ 5u
18
+ ··· + 8u
3
+ u
2
a
8
=
−66.1387u
20
− 44.4480u
19
+ ··· − 29.5784u − 78.2968
−u
20
+ 5u
18
+ ··· + 8u
3
+ u
2
a
5
=
45.5978u
20
+ 35.4008u
19
+ ··· + 21.6227u + 70.7393
−46.7642u
20
− 34.3384u
19
+ ··· − 21.9168u − 69.2954
a
11
=
−u
−u
3
+ u
a
6
=
−83.4924u
20
− 55.9404u
19
+ ··· − 39.7032u − 99.3537
7.41331u
20
+ 5.59501u
19
+ ··· + 3.26352u + 9.56449
a
9
=
73.8960u
20
+ 47.9140u
19
+ ··· + 53.3162u + 104.277
−70.2954u
20
− 46.7642u
19
+ ··· − 43.2219u − 91.2122
a
1
=
−2.38974u
20
+ 0.771151u
19
+ ··· − 21.2552u − 13.2940
52.3856u
20
+ 34.1054u
19
+ ··· + 37.5479u + 71.3051
a
2
=
−77.2302u
20
− 53.1637u
19
+ ··· − 63.1401u − 116.053
80.0361u
20
+ 55.7365u
19
+ ··· + 53.1304u + 119.237
a
2
=
−77.2302u
20
− 53.1637u
19
+ ··· − 63.1401u − 116.053
80.0361u
20
+ 55.7365u
19
+ ··· + 53.1304u + 119.237
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
221218
721
u
20
−
159840
721
u
19
+ ··· −
126596
721
u −
319747
721
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
21
+ 2u
20
+ ··· − 2u + 1
c
2
u
21
+ 12u
20
+ ··· + 16u + 1
c
3
u
21
− 6u
19
+ ··· + u − 1
c
4
u
21
+ 4u
19
+ ··· + 4u − 1
c
5
u
21
− 2u
20
+ ··· − 2u − 1
c
6
u
21
+ 4u
20
+ ··· − 2u + 1
c
7
u
21
− 2u
19
+ ··· − u − 1
c
8
u
21
− 10u
20
+ ··· + 14u − 1
c
9
u
21
+ 11u
20
+ ··· + 13u + 1
c
10
u
21
− 6u
19
+ ··· + u + 1
c
11
u
21
− 2u
20
+ ··· + 4u + 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
21
− 12y
20
+ ··· + 16y −1
c
2
y
21
− 32y
19
+ ··· + 32y −1
c
3
, c
10
y
21
− 12y
20
+ ··· + 17y −1
c
4
y
21
+ 8y
20
+ ··· + 10y −1
c
6
y
21
− 12y
20
+ ··· + 10y −1
c
7
y
21
− 4y
20
+ ··· − 13y −1
c
8
y
21
+ 4y
20
+ ··· + 30y −1
c
9
y
21
+ 3y
20
+ ··· + 9y −1
c
11
y
21
− 10y
20
+ ··· + 12y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.811779 + 0.525216I
a = −0.416139 + 0.357404I
b = −0.047757 + 0.917442I
0.03935 + 2.07134I −2.34444 − 4.05360I
u = −0.811779 − 0.525216I
a = −0.416139 − 0.357404I
b = −0.047757 − 0.917442I
0.03935 − 2.07134I −2.34444 + 4.05360I
u = −1.164180 + 0.407269I
a = −1.47478 + 0.24901I
b = 0.648863 + 1.098050I
−4.60181 + 6.44318I −7.37974 − 8.53245I
u = −1.164180 − 0.407269I
a = −1.47478 − 0.24901I
b = 0.648863 − 1.098050I
−4.60181 − 6.44318I −7.37974 + 8.53245I
u = 1.192030 + 0.359383I
a = 1.34557 + 0.63757I
b = −0.800423 + 1.118690I
−4.47877 − 3.55604I −8.08226 + 2.55945I
u = 1.192030 − 0.359383I
a = 1.34557 − 0.63757I
b = −0.800423 − 1.118690I
−4.47877 + 3.55604I −8.08226 − 2.55945I
u = −0.723384 + 0.071228I
a = 0.384515 + 1.232070I
b = −1.40553 + 0.44847I
2.04450 + 2.21685I −1.36797 − 1.77620I
u = −0.723384 − 0.071228I
a = 0.384515 − 1.232070I
b = −1.40553 − 0.44847I
2.04450 − 2.21685I −1.36797 + 1.77620I
u = 0.704084 + 0.011197I
a = −0.62546 + 1.76874I
b = 1.393860 + 0.065773I
0.56292 − 7.20934I −5.36435 + 8.25630I
u = 0.704084 − 0.011197I
a = −0.62546 − 1.76874I
b = 1.393860 − 0.065773I
0.56292 + 7.20934I −5.36435 − 8.25630I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.360973 + 0.591606I
a = 0.18473 − 1.61907I
b = −0.112329 + 0.524379I
−2.04047 − 2.71990I −4.21528 + 3.94147I
u = −0.360973 − 0.591606I
a = 0.18473 + 1.61907I
b = −0.112329 − 0.524379I
−2.04047 + 2.71990I −4.21528 − 3.94147I
u = 1.265480 + 0.338640I
a = 0.641702 + 0.643672I
b = −0.932784 + 0.946751I
−2.32920 − 8.44205I −5.83292 + 8.04405I
u = 1.265480 − 0.338640I
a = 0.641702 − 0.643672I
b = −0.932784 − 0.946751I
−2.32920 + 8.44205I −5.83292 − 8.04405I
u = −1.284750 + 0.320553I
a = −0.534098 + 0.330108I
b = 0.989081 + 0.901960I
−1.12577 + 3.02403I −1.94886 − 3.97151I
u = −1.284750 − 0.320553I
a = −0.534098 − 0.330108I
b = 0.989081 − 0.901960I
−1.12577 − 3.02403I −1.94886 + 3.97151I
u = 0.527823 + 0.088481I
a = 0.32212 − 2.49639I
b = 0.696834 + 0.210590I
−1.73524 + 1.16661I −7.91238 − 0.48584I
u = 0.527823 − 0.088481I
a = 0.32212 + 2.49639I
b = 0.696834 − 0.210590I
−1.73524 − 1.16661I −7.91238 + 0.48584I
u = −0.19100 + 1.56011I
a = −0.072058 − 0.193819I
b = 0.023605 + 0.455058I
3.93251 + 3.01415I −34.7582 − 22.9567I
u = −0.19100 − 1.56011I
a = −0.072058 + 0.193819I
b = 0.023605 − 0.455058I
3.93251 − 3.01415I −34.7582 + 22.9567I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.69330
a = 0.487808
b = −0.906837
−10.1449 126.410
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
21
+ 2u
20
+ ··· − 2u + 1)(u
108
+ 3u
107
+ ··· − 10u − 1)
c
2
(u
21
+ 12u
20
+ ··· + 16u + 1)(u
108
+ 49u
107
+ ··· − 24u + 1)
c
3
(u
21
− 6u
19
+ ··· + u − 1)(u
108
+ u
107
+ ··· − 83u − 59)
c
4
(u
21
+ 4u
19
+ ··· + 4u − 1)(u
108
+ u
107
+ ··· + 9996u + 1033)
c
5
(u
21
− 2u
20
+ ··· − 2u − 1)(u
108
+ 3u
107
+ ··· − 10u − 1)
c
6
(u
21
+ 4u
20
+ ··· − 2u + 1)(u
108
+ 5u
107
+ ··· − 40u + 1)
c
7
(u
21
− 2u
19
+ ··· − u − 1)(u
108
+ u
107
+ ··· − 47121u − 5231)
c
8
(u
21
− 10u
20
+ ··· + 14u − 1)(u
108
− 3u
107
+ ··· − 554u − 1)
c
9
(u
21
+ 11u
20
+ ··· + 13u + 1)(u
108
+ 6u
107
+ ··· + 4092u + 176)
c
10
(u
21
− 6u
19
+ ··· + u + 1)(u
108
+ u
107
+ ··· − 83u − 59)
c
11
(u
21
− 2u
20
+ ··· + 4u + 1)(u
108
+ 11u
107
+ ··· + 776u + 56)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
21
− 12y
20
+ ··· + 16y −1)(y
108
− 49y
107
+ ··· + 24y + 1)
c
2
(y
21
− 32y
19
+ ··· + 32y −1)(y
108
+ 27y
107
+ ··· + 756y + 1)
c
3
, c
10
(y
21
− 12y
20
+ ··· + 17y −1)(y
108
− 65y
107
+ ··· − 78869y + 3481)
c
4
(y
21
+ 8y
20
+ ··· + 10y −1)
· (y
108
− 5y
107
+ ··· + 107533242y + 1067089)
c
6
(y
21
− 12y
20
+ ··· + 10y −1)(y
108
− 9y
107
+ ··· − 94y + 1)
c
7
(y
21
− 4y
20
+ ··· − 13y −1)
· (y
108
+ 19y
107
+ ··· + 1542196425y + 27363361)
c
8
(y
21
+ 4y
20
+ ··· + 30y −1)(y
108
− 13y
107
+ ··· − 315250y + 1)
c
9
(y
21
+ 3y
20
+ ··· + 9y −1)(y
108
− 22y
107
+ ··· − 5774384y + 30976)
c
11
(y
21
− 10y
20
+ ··· + 12y −1)(y
108
− 3y
107
+ ··· + 93344y + 3136)
23
