11a
164
(K11a
164
)
A knot diagram
1
Linearized knot diagam
6 1 10 11 2 9 4 5 3 7 8
Solving Sequence
2,5 6,8
9 1 3 10 11 4 7
c
5
c
8
c
1
c
2
c
9
c
11
c
4
c
7
c
3
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−9.08044 × 10
141
u
100
− 1.16506 × 10
142
u
99
+ ··· + 2.96438 × 10
142
b + 6.72571 × 10
142
,
− 1.52478 × 10
143
u
100
+ 2.53452 × 10
142
u
99
+ ··· + 2.96438 × 10
142
a + 2.83966 × 10
143
,
u
101
+ 24u
99
+ ··· + 10u + 1i
I
u
2
= h−u
16
− u
15
− 5u
14
− 4u
13
− 10u
12
− 6u
11
− 11u
10
− 4u
9
− 6u
8
+ u
7
− 3u
6
+ 2u
5
− 3u
4
+ u
3
+ b + 1,
− 4u
16
− 10u
15
+ ··· + a + 6, u
17
+ u
16
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 118 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−9.08 × 10
141
u
100
− 1.17 × 10
142
u
99
+ · · · + 2.96 × 10
142
b + 6.73 ×
10
142
, −1.52 × 10
143
u
100
+ 2.53 × 10
142
u
99
+ · · · + 2.96 × 10
142
a + 2.84 ×
10
143
, u
101
+ 24u
99
+ · · · + 10u + 1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
−u
2
a
8
=
5.14368u
100
− 0.854991u
99
+ ··· − 75.8410u − 9.57926
0.306318u
100
+ 0.393021u
99
+ ··· − 11.1105u − 2.26884
a
9
=
5.45000u
100
− 0.461970u
99
+ ··· − 86.9515u − 11.8481
0.306318u
100
+ 0.393021u
99
+ ··· − 11.1105u − 2.26884
a
1
=
−u
u
3
+ u
a
3
=
−u
3
u
5
+ u
3
+ u
a
10
=
5.21197u
100
− 2.09654u
99
+ ··· − 105.903u − 13.5218
−0.375750u
100
+ 0.0665634u
99
+ ··· − 5.48782u − 1.77008
a
11
=
1.79088u
100
− 2.36678u
99
+ ··· − 67.2269u − 7.13448
−1.52592u
100
− 1.16036u
99
+ ··· − 19.1077u − 2.00447
a
4
=
−1.60316u
100
+ 4.26183u
99
+ ··· + 81.9912u + 8.94626
−0.148855u
100
− 2.54143u
99
+ ··· − 9.70613u − 0.621772
a
7
=
−1.79064u
100
+ 3.85132u
99
+ ··· + 96.9928u + 5.13132
0.204887u
100
+ 0.0480139u
99
+ ··· + 2.60472u − 1.56299
a
7
=
−1.79064u
100
+ 3.85132u
99
+ ··· + 96.9928u + 5.13132
0.204887u
100
+ 0.0480139u
99
+ ··· + 2.60472u − 1.56299
(ii) Obstruction class = −1
(iii) Cusp Shapes = −75.9603u
100
+ 17.6410u
99
+ ··· + 792.020u + 79.1726
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
101
+ 24u
99
+ ··· + 10u + 1
c
2
u
101
+ 48u
100
+ ··· + 56u − 1
c
3
, c
9
u
101
+ 2u
100
+ ··· + 2225u + 419
c
4
u
101
− u
100
+ ··· + 27u − 1
c
6
u
101
− 2u
100
+ ··· + 509u − 103
c
7
u
101
+ 3u
100
+ ··· + 2286u − 617
c
8
u
101
+ 2u
100
+ ··· − 3009u − 289
c
10
u
101
+ u
100
+ ··· + 18u + 1
c
11
u
101
+ 3u
100
+ ··· − 550u − 25
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
101
+ 48y
100
+ ··· + 56y −1
c
2
y
101
+ 16y
100
+ ··· + 5112y −1
c
3
, c
9
y
101
− 66y
100
+ ··· + 4179665y −175561
c
4
y
101
− 3y
100
+ ··· + 397y −1
c
6
y
101
+ 2y
100
+ ··· + 495157y −10609
c
7
y
101
− 23y
100
+ ··· + 17244956y −380689
c
8
y
101
− 10y
100
+ ··· + 435523y −83521
c
10
y
101
+ 15y
100
+ ··· + 48y −1
c
11
y
101
− 5y
100
+ ··· + 430150y −625
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.799338 + 0.603896I
a = 1.310790 + 0.397626I
b = −0.730027 + 0.237935I
0.67147 − 3.20721I 0
u = 0.799338 − 0.603896I
a = 1.310790 − 0.397626I
b = −0.730027 − 0.237935I
0.67147 + 3.20721I 0
u = 0.920784 + 0.379494I
a = −1.36311 + 0.74527I
b = 1.27183 − 0.84399I
−0.83041 − 12.65940I 0
u = 0.920784 − 0.379494I
a = −1.36311 − 0.74527I
b = 1.27183 + 0.84399I
−0.83041 + 12.65940I 0
u = 0.310097 + 0.962923I
a = 0.873648 + 0.529676I
b = 0.683779 − 1.049460I
−0.399141 + 1.242870I 0
u = 0.310097 − 0.962923I
a = 0.873648 − 0.529676I
b = 0.683779 + 1.049460I
−0.399141 − 1.242870I 0
u = −0.914060 + 0.352085I
a = −0.588282 − 0.618097I
b = 0.767034 + 0.712223I
−2.33944 + 4.55777I 0
u = −0.914060 − 0.352085I
a = −0.588282 + 0.618097I
b = 0.767034 − 0.712223I
−2.33944 − 4.55777I 0
u = 0.834355 + 0.503525I
a = −0.668685 − 0.367928I
b = 0.780605 + 0.089667I
3.71124 + 3.14543I 0
u = 0.834355 − 0.503525I
a = −0.668685 + 0.367928I
b = 0.780605 − 0.089667I
3.71124 − 3.14543I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.414857 + 0.874591I
a = −2.48341 − 0.53136I
b = 0.11393 + 2.94906I
−1.97371 + 1.74177I 0
u = 0.414857 − 0.874591I
a = −2.48341 + 0.53136I
b = 0.11393 − 2.94906I
−1.97371 − 1.74177I 0
u = −0.156554 + 0.939549I
a = 0.107048 + 0.818381I
b = 0.443879 + 1.017760I
−3.36242 + 1.21904I 0
u = −0.156554 − 0.939549I
a = 0.107048 − 0.818381I
b = 0.443879 − 1.017760I
−3.36242 − 1.21904I 0
u = −0.812488 + 0.488151I
a = −1.29297 − 1.09727I
b = 1.30092 + 0.77115I
3.68064 + 6.67564I 0
u = −0.812488 − 0.488151I
a = −1.29297 + 1.09727I
b = 1.30092 − 0.77115I
3.68064 − 6.67564I 0
u = 0.472749 + 0.956015I
a = 1.29828 − 0.99813I
b = −1.72376 + 0.36555I
−2.59160 + 2.64890I 0
u = 0.472749 − 0.956015I
a = 1.29828 + 0.99813I
b = −1.72376 − 0.36555I
−2.59160 − 2.64890I 0
u = −0.711647 + 0.603130I
a = 1.27586 + 0.82927I
b = −0.713650 − 0.372777I
0.97787 + 2.04675I 0
u = −0.711647 − 0.603130I
a = 1.27586 − 0.82927I
b = −0.713650 + 0.372777I
0.97787 − 2.04675I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.619610 + 0.688764I
a = 1.303250 − 0.202527I
b = −0.978922 − 0.237953I
3.95086 − 0.15387I 0
u = −0.619610 − 0.688764I
a = 1.303250 + 0.202527I
b = −0.978922 + 0.237953I
3.95086 + 0.15387I 0
u = 0.614599 + 0.687148I
a = −0.278610 + 0.955094I
b = 0.780571 − 0.602224I
0.44573 + 1.61901I 0
u = 0.614599 − 0.687148I
a = −0.278610 − 0.955094I
b = 0.780571 + 0.602224I
0.44573 − 1.61901I 0
u = −0.159716 + 1.068970I
a = 0.779544 + 0.696041I
b = 0.648363 + 0.903082I
−3.30571 + 2.25191I 0
u = −0.159716 − 1.068970I
a = 0.779544 − 0.696041I
b = 0.648363 − 0.903082I
−3.30571 − 2.25191I 0
u = 0.446085 + 0.987433I
a = −2.74444 + 0.81201I
b = 0.603591 + 0.661833I
−4.95602 + 7.28899I 0
u = 0.446085 − 0.987433I
a = −2.74444 − 0.81201I
b = 0.603591 − 0.661833I
−4.95602 − 7.28899I 0
u = 1.006780 + 0.413097I
a = 1.183050 − 0.359917I
b = −0.953599 + 0.459118I
−1.20543 − 2.91368I 0
u = 1.006780 − 0.413097I
a = 1.183050 + 0.359917I
b = −0.953599 − 0.459118I
−1.20543 + 2.91368I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.356062 + 1.034300I
a = 1.90863 + 0.96870I
b = −1.04466 + 1.05860I
−6.47568 + 2.60950I 0
u = −0.356062 − 1.034300I
a = 1.90863 − 0.96870I
b = −1.04466 − 1.05860I
−6.47568 − 2.60950I 0
u = 0.463350 + 1.009350I
a = 0.547639 − 0.776583I
b = 0.466122 − 1.198110I
−4.78444 − 1.35131I 0
u = 0.463350 − 1.009350I
a = 0.547639 + 0.776583I
b = 0.466122 + 1.198110I
−4.78444 + 1.35131I 0
u = −0.593448 + 0.943581I
a = −0.96895 − 1.43132I
b = 0.731080 − 0.425982I
3.17647 − 4.63483I 0
u = −0.593448 − 0.943581I
a = −0.96895 + 1.43132I
b = 0.731080 + 0.425982I
3.17647 + 4.63483I 0
u = 0.026019 + 1.128800I
a = −0.417275 − 0.110011I
b = −0.594637 − 0.897589I
−2.11387 + 5.01998I 0
u = 0.026019 − 1.128800I
a = −0.417275 + 0.110011I
b = −0.594637 + 0.897589I
−2.11387 − 5.01998I 0
u = 0.571043 + 0.979201I
a = 1.75185 − 0.23420I
b = −0.92445 − 1.33397I
−0.50863 + 3.05407I 0
u = 0.571043 − 0.979201I
a = 1.75185 + 0.23420I
b = −0.92445 + 1.33397I
−0.50863 − 3.05407I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.851203 + 0.755593I
a = −1.107360 + 0.060680I
b = 0.969445 − 0.244990I
1.46871 − 8.32039I 0
u = −0.851203 − 0.755593I
a = −1.107360 − 0.060680I
b = 0.969445 + 0.244990I
1.46871 + 8.32039I 0
u = −0.751900 + 0.416167I
a = 1.25275 + 0.66263I
b = −1.11700 − 0.97222I
1.45805 + 4.32698I 0
u = −0.751900 − 0.416167I
a = 1.25275 − 0.66263I
b = −1.11700 + 0.97222I
1.45805 − 4.32698I 0
u = 0.686788 + 0.515849I
a = 1.360940 + 0.111989I
b = −1.084070 − 0.393308I
2.01265 + 1.89682I 0
u = 0.686788 − 0.515849I
a = 1.360940 − 0.111989I
b = −1.084070 + 0.393308I
2.01265 − 1.89682I 0
u = −0.329654 + 1.104690I
a = −0.961036 − 0.873809I
b = 0.973345 − 0.089544I
−6.08185 − 3.72513I 0
u = −0.329654 − 1.104690I
a = −0.961036 + 0.873809I
b = 0.973345 + 0.089544I
−6.08185 + 3.72513I 0
u = 0.402510 + 0.742669I
a = −1.32349 + 2.16488I
b = 1.223860 + 0.498277I
−1.82096 + 1.07594I 0
u = 0.402510 − 0.742669I
a = −1.32349 − 2.16488I
b = 1.223860 − 0.498277I
−1.82096 − 1.07594I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.498083 + 1.052540I
a = −0.869818 + 0.501520I
b = −0.64201 − 1.73281I
−5.52278 − 9.23097I 0
u = −0.498083 − 1.052540I
a = −0.869818 − 0.501520I
b = −0.64201 + 1.73281I
−5.52278 + 9.23097I 0
u = −0.803342 + 0.843458I
a = 0.853853 + 0.788546I
b = −0.772508 − 0.059619I
1.15621 + 2.31115I 0
u = −0.803342 − 0.843458I
a = 0.853853 − 0.788546I
b = −0.772508 + 0.059619I
1.15621 − 2.31115I 0
u = −0.453521 + 1.073760I
a = −0.205523 + 0.115628I
b = 0.339218 + 0.818234I
−5.48767 − 3.61474I 0
u = −0.453521 − 1.073760I
a = −0.205523 − 0.115628I
b = 0.339218 − 0.818234I
−5.48767 + 3.61474I 0
u = −0.424837 + 1.089140I
a = −0.953607 + 0.007477I
b = 0.254632 + 0.237622I
−5.68517 − 3.63758I 0
u = −0.424837 − 1.089140I
a = −0.953607 − 0.007477I
b = 0.254632 − 0.237622I
−5.68517 + 3.63758I 0
u = −0.829751
a = 1.76369
b = −0.808831
−2.37595 −7.91280
u = 0.308021 + 0.765503I
a = 1.85520 − 2.58678I
b = −0.180074 + 0.323037I
−3.96508 − 3.96334I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.308021 − 0.765503I
a = 1.85520 + 2.58678I
b = −0.180074 − 0.323037I
−3.96508 + 3.96334I 0
u = 0.543567 + 1.047650I
a = −1.63400 + 1.40042I
b = 1.63666 + 0.90355I
1.25180 + 5.00759I 0
u = 0.543567 − 1.047650I
a = −1.63400 − 1.40042I
b = 1.63666 − 0.90355I
1.25180 − 5.00759I 0
u = 0.565766 + 1.046080I
a = −0.531297 + 1.005030I
b = 1.011750 − 0.024388I
0.43832 + 2.94973I 0
u = 0.565766 − 1.046080I
a = −0.531297 − 1.005030I
b = 1.011750 + 0.024388I
0.43832 − 2.94973I 0
u = −0.619164 + 1.040840I
a = −1.68899 − 0.65437I
b = 0.949685 − 0.655891I
−0.39884 − 7.20242I 0
u = −0.619164 − 1.040840I
a = −1.68899 + 0.65437I
b = 0.949685 + 0.655891I
−0.39884 + 7.20242I 0
u = 0.649014 + 1.032630I
a = −1.06637 + 1.35632I
b = 0.577427 + 0.363094I
−0.65204 + 8.65062I 0
u = 0.649014 − 1.032630I
a = −1.06637 − 1.35632I
b = 0.577427 − 0.363094I
−0.65204 − 8.65062I 0
u = −0.590478 + 1.095830I
a = −1.71034 − 1.14733I
b = 1.11320 − 1.19830I
−0.54688 − 9.42136I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.590478 − 1.095830I
a = −1.71034 + 1.14733I
b = 1.11320 + 1.19830I
−0.54688 + 9.42136I 0
u = −0.634882 + 1.085050I
a = 1.72382 + 0.86789I
b = −1.43824 + 1.02968I
1.88903 − 12.09390I 0
u = −0.634882 − 1.085050I
a = 1.72382 − 0.86789I
b = −1.43824 − 1.02968I
1.88903 + 12.09390I 0
u = 0.669864 + 1.077590I
a = 0.358107 − 0.692737I
b = −0.486312 − 0.248477I
1.99749 + 2.44731I 0
u = 0.669864 − 1.077590I
a = 0.358107 + 0.692737I
b = −0.486312 + 0.248477I
1.99749 − 2.44731I 0
u = 0.570744 + 0.452507I
a = 1.71231 − 1.04390I
b = −1.51072 + 0.51145I
2.96660 − 0.49089I 7.55238 + 2.16583I
u = 0.570744 − 0.452507I
a = 1.71231 + 1.04390I
b = −1.51072 − 0.51145I
2.96660 + 0.49089I 7.55238 − 2.16583I
u = −0.509142 + 1.202890I
a = −0.282261 − 1.090640I
b = 1.239450 − 0.264175I
−0.83504 − 4.53253I 0
u = −0.509142 − 1.202890I
a = −0.282261 + 1.090640I
b = 1.239450 + 0.264175I
−0.83504 + 4.53253I 0
u = 0.133175 + 1.310000I
a = −0.245601 + 0.011835I
b = −0.910653 + 0.855165I
−6.74280 − 9.38225I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.133175 − 1.310000I
a = −0.245601 − 0.011835I
b = −0.910653 − 0.855165I
−6.74280 + 9.38225I 0
u = −0.629457 + 1.164540I
a = 1.115690 + 0.513662I
b = −0.828844 + 1.008140I
−4.78498 − 10.19150I 0
u = −0.629457 − 1.164540I
a = 1.115690 − 0.513662I
b = −0.828844 − 1.008140I
−4.78498 + 10.19150I 0
u = −0.672875
a = 0.983401
b = −1.37061
2.39150 4.53750
u = 0.637940 + 1.164240I
a = 1.57827 − 0.98927I
b = −1.35140 − 1.00988I
−3.2128 + 18.3585I 0
u = 0.637940 − 1.164240I
a = 1.57827 + 0.98927I
b = −1.35140 + 1.00988I
−3.2128 − 18.3585I 0
u = 0.671042 + 1.184580I
a = −1.28725 + 0.77156I
b = 1.078220 + 0.645311I
−3.60655 + 8.97192I 0
u = 0.671042 − 1.184580I
a = −1.28725 − 0.77156I
b = 1.078220 − 0.645311I
−3.60655 − 8.97192I 0
u = −0.156902 + 1.376250I
a = −0.283066 − 0.016439I
b = −0.181732 − 0.559614I
−8.19291 + 0.99601I 0
u = −0.156902 − 1.376250I
a = −0.283066 + 0.016439I
b = −0.181732 + 0.559614I
−8.19291 − 0.99601I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.302756 + 0.498441I
a = −0.308634 − 1.162930I
b = −0.117456 − 1.191980I
−3.27231 + 4.97436I −0.70929 − 6.10939I
u = 0.302756 − 0.498441I
a = −0.308634 + 1.162930I
b = −0.117456 + 1.191980I
−3.27231 − 4.97436I −0.70929 + 6.10939I
u = 0.07558 + 1.45374I
a = −0.1083030 − 0.0627338I
b = 0.455276 − 0.353328I
−7.96605 + 0.73193I 0
u = 0.07558 − 1.45374I
a = −0.1083030 + 0.0627338I
b = 0.455276 + 0.353328I
−7.96605 − 0.73193I 0
u = −0.443111 + 0.299368I
a = −2.03589 + 0.51117I
b = 0.312294 − 1.330750I
−3.54835 + 5.18203I −0.91692 − 5.34754I
u = −0.443111 − 0.299368I
a = −2.03589 − 0.51117I
b = 0.312294 + 1.330750I
−3.54835 − 5.18203I −0.91692 + 5.34754I
u = −0.520031 + 0.009335I
a = 1.61993 − 0.12560I
b = 0.179992 + 0.256029I
−2.87373 − 0.05987I −2.33537 − 0.50562I
u = −0.520031 − 0.009335I
a = 1.61993 + 0.12560I
b = 0.179992 − 0.256029I
−2.87373 + 0.05987I −2.33537 + 0.50562I
u = 0.252798 + 0.419106I
a = 0.96673 + 1.19677I
b = 0.124630 − 0.530675I
0.177915 + 1.269900I 1.56526 − 5.04309I
u = 0.252798 − 0.419106I
a = 0.96673 − 1.19677I
b = 0.124630 + 0.530675I
0.177915 − 1.269900I 1.56526 + 5.04309I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.118039
a = −2.40439
b = −1.31263
2.58509 −1.74840
15
II.
I
u
2
= h−u
16
−u
15
+· · ·+b+1, −4u
16
−10u
15
+· · ·+a+6, u
17
+u
16
+· · ·+2u−1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
−u
2
a
8
=
4u
16
+ 10u
15
+ ··· + 18u − 6
u
16
+ u
15
+ ··· − u
3
− 1
a
9
=
5u
16
+ 11u
15
+ ··· + 18u − 7
u
16
+ u
15
+ ··· − u
3
− 1
a
1
=
−u
u
3
+ u
a
3
=
−u
3
u
5
+ u
3
+ u
a
10
=
9u
15
+ 4u
14
+ ··· + 25u − 8
−2u
16
− 9u
14
+ ··· + 4u − 1
a
11
=
u
16
− 7u
15
+ ··· − 21u + 10
2u
16
− u
15
+ ··· − 10u + 3
a
4
=
2u
16
+ 6u
15
+ ··· + 10u − 6
3u
16
+ 4u
15
+ ··· + 4u − 3
a
7
=
9u
16
− 2u
15
+ ··· − 27u + 8
3u
16
− 3u
15
+ ··· − 13u + 3
a
7
=
9u
16
− 2u
15
+ ··· − 27u + 8
3u
16
− 3u
15
+ ··· − 13u + 3
(ii) Obstruction class = 1
(iii) Cusp Shapes = −31u
16
−48u
15
−174u
14
−214u
13
−404u
12
−394u
11
−532u
10
−
408u
9
− 386u
8
− 177u
7
− 170u
6
− 30u
5
− 66u
4
− 6u
3
+ 4u
2
− 7u + 14
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
17
− u
16
+ ··· + 2u + 1
c
2
u
17
+ 11u
16
+ ··· − 2u − 1
c
3
u
17
+ u
16
+ ··· + 3u + 1
c
4
u
17
+ 2u
16
+ ··· + u + 1
c
5
u
17
+ u
16
+ ··· + 2u − 1
c
6
u
17
+ 7u
16
+ ··· + 3u + 1
c
7
u
17
− 2u
15
+ ··· + 2u + 1
c
8
u
17
− u
16
+ ··· − 5u − 1
c
9
u
17
− u
16
+ ··· + 3u − 1
c
10
u
17
+ 2u
16
+ ··· − 10u + 1
c
11
u
17
− 2u
16
+ ··· + 6u
2
+ 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
17
+ 11y
16
+ ··· − 2y −1
c
2
y
17
− 5y
16
+ ··· + 18y −1
c
3
, c
9
y
17
− 7y
16
+ ··· − y −1
c
4
y
17
+ 8y
16
+ ··· + 3y −1
c
6
y
17
+ 9y
16
+ ··· + 3y −1
c
7
y
17
− 4y
16
+ ··· + 6y −1
c
8
y
17
+ 9y
16
+ ··· + 17y −1
c
10
y
17
+ 10y
16
+ ··· + 38y −1
c
11
y
17
+ 6y
16
+ ··· − 12y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.270408 + 0.962092I
a = −1.04261 − 1.14891I
b = 0.204174 + 0.738024I
−4.89729 − 5.84133I −3.35810 + 6.50497I
u = −0.270408 − 0.962092I
a = −1.04261 + 1.14891I
b = 0.204174 − 0.738024I
−4.89729 + 5.84133I −3.35810 − 6.50497I
u = −0.872126 + 0.553676I
a = 1.063540 + 0.250875I
b = −0.722929 − 0.503649I
−0.20281 + 3.45742I −0.73533 − 6.43168I
u = −0.872126 − 0.553676I
a = 1.063540 − 0.250875I
b = −0.722929 + 0.503649I
−0.20281 − 3.45742I −0.73533 + 6.43168I
u = −0.291654 + 0.910275I
a = 1.68315 + 1.82472I
b = 0.005999 + 1.003870I
−4.74843 + 3.51454I −6.20887 − 3.24977I
u = −0.291654 − 0.910275I
a = 1.68315 − 1.82472I
b = 0.005999 − 1.003870I
−4.74843 − 3.51454I −6.20887 + 3.24977I
u = 0.398186 + 0.863724I
a = 2.28049 + 0.12672I
b = −0.36263 − 2.57094I
−1.97020 + 1.69791I 27.8669 + 58.1541I
u = 0.398186 − 0.863724I
a = 2.28049 − 0.12672I
b = −0.36263 + 2.57094I
−1.97020 − 1.69791I 27.8669 − 58.1541I
u = 0.531255 + 1.079230I
a = −0.655795 + 1.123100I
b = 1.116800 + 0.398972I
1.15760 + 3.69823I 4.44640 − 3.84774I
u = 0.531255 − 1.079230I
a = −0.655795 − 1.123100I
b = 1.116800 − 0.398972I
1.15760 − 3.69823I 4.44640 + 3.84774I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.644274 + 1.068720I
a = −1.53526 − 0.81448I
b = 0.729693 − 0.841010I
−1.81180 − 9.05017I −2.80055 + 9.33425I
u = −0.644274 − 1.068720I
a = −1.53526 + 0.81448I
b = 0.729693 + 0.841010I
−1.81180 + 9.05017I −2.80055 − 9.33425I
u = 0.470497 + 0.542589I
a = 1.45609 − 0.01818I
b = −1.318200 + 0.095519I
2.92806 + 0.53275I 4.91516 − 7.33319I
u = 0.470497 − 0.542589I
a = 1.45609 + 0.01818I
b = −1.318200 − 0.095519I
2.92806 − 0.53275I 4.91516 + 7.33319I
u = −0.04437 + 1.47962I
a = −0.055780 + 0.181983I
b = 0.331139 − 0.004308I
−7.74398 + 1.02960I 7.41611 − 9.53632I
u = −0.04437 − 1.47962I
a = −0.055780 − 0.181983I
b = 0.331139 + 0.004308I
−7.74398 − 1.02960I 7.41611 + 9.53632I
u = 0.445787
a = 3.61237
b = −0.968106
−1.61086 4.91660
20
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
17
− u
16
+ ··· + 2u + 1)(u
101
+ 24u
99
+ ··· + 10u + 1)
c
2
(u
17
+ 11u
16
+ ··· − 2u − 1)(u
101
+ 48u
100
+ ··· + 56u − 1)
c
3
(u
17
+ u
16
+ ··· + 3u + 1)(u
101
+ 2u
100
+ ··· + 2225u + 419)
c
4
(u
17
+ 2u
16
+ ··· + u + 1)(u
101
− u
100
+ ··· + 27u − 1)
c
5
(u
17
+ u
16
+ ··· + 2u − 1)(u
101
+ 24u
99
+ ··· + 10u + 1)
c
6
(u
17
+ 7u
16
+ ··· + 3u + 1)(u
101
− 2u
100
+ ··· + 509u − 103)
c
7
(u
17
− 2u
15
+ ··· + 2u + 1)(u
101
+ 3u
100
+ ··· + 2286u − 617)
c
8
(u
17
− u
16
+ ··· − 5u − 1)(u
101
+ 2u
100
+ ··· − 3009u − 289)
c
9
(u
17
− u
16
+ ··· + 3u − 1)(u
101
+ 2u
100
+ ··· + 2225u + 419)
c
10
(u
17
+ 2u
16
+ ··· − 10u + 1)(u
101
+ u
100
+ ··· + 18u + 1)
c
11
(u
17
− 2u
16
+ ··· + 6u
2
+ 1)(u
101
+ 3u
100
+ ··· − 550u − 25)
21
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
17
+ 11y
16
+ ··· − 2y −1)(y
101
+ 48y
100
+ ··· + 56y −1)
c
2
(y
17
− 5y
16
+ ··· + 18y −1)(y
101
+ 16y
100
+ ··· + 5112y −1)
c
3
, c
9
(y
17
− 7y
16
+ ··· − y −1)(y
101
− 66y
100
+ ··· + 4179665y −175561)
c
4
(y
17
+ 8y
16
+ ··· + 3y −1)(y
101
− 3y
100
+ ··· + 397y −1)
c
6
(y
17
+ 9y
16
+ ··· + 3y −1)(y
101
+ 2y
100
+ ··· + 495157y −10609)
c
7
(y
17
− 4y
16
+ ··· + 6y −1)
· (y
101
− 23y
100
+ ··· + 17244956y −380689)
c
8
(y
17
+ 9y
16
+ ··· + 17y −1)(y
101
− 10y
100
+ ··· + 435523y −83521)
c
10
(y
17
+ 10y
16
+ ··· + 38y −1)(y
101
+ 15y
100
+ ··· + 48y −1)
c
11
(y
17
+ 6y
16
+ ··· − 12y −1)(y
101
− 5y
100
+ ··· + 430150y −625)
22
