11a
162
(K11a
162
)
A knot diagram
1
Linearized knot diagam
6 1 7 11 2 10 4 5 3 8 9
Solving Sequence
2,6
1
3,9
10 7 5 8 11 4
c
1
c
2
c
9
c
6
c
5
c
8
c
11
c
4
c
3
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.14827 × 10
147
u
101
− 7.64747 × 10
147
u
100
+ ··· + 1.69798 × 10
147
b + 5.75046 × 10
144
,
− 2.00222 × 10
146
u
101
− 2.26353 × 10
146
u
100
+ ··· + 1.69798 × 10
147
a + 8.74321 × 10
147
,
u
102
+ 2u
101
+ ··· + 5u − 1i
I
u
2
= h4u
18
+ 3u
17
+ ··· + b − 5, −4u
18
− 6u
17
+ ··· + a + 3, u
19
+ u
18
+ ··· + 3u + 1i
* 2 irreducible components of dim
C
= 0, with total 121 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−4.15 × 10
147
u
101
− 7.65 × 10
147
u
100
+ · · · + 1.70 × 10
147
b + 5.75 ×
10
144
, −2.00 × 10
146
u
101
− 2.26 × 10
146
u
100
+ · · · + 1.70 × 10
147
a + 8.74 ×
10
147
, u
102
+ 2u
101
+ · · · + 5u − 1i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
1
=
1
u
2
a
3
=
u
2
+ 1
u
4
a
9
=
0.117918u
101
+ 0.133307u
100
+ ··· + 12.2631u − 5.14920
2.44307u
101
+ 4.50387u
100
+ ··· − 4.24920u − 0.00338666
a
10
=
−1.05197u
101
− 1.12612u
100
+ ··· + 5.29937u − 4.08217
4.90798u
101
+ 8.02139u
100
+ ··· − 3.48445u − 0.513579
a
7
=
1.14572u
101
+ 2.76876u
100
+ ··· − 11.5438u − 3.13970
−0.725552u
101
− 2.61060u
100
+ ··· − 13.1281u + 3.50792
a
5
=
−u
u
a
8
=
−1.79267u
101
− 1.47114u
100
+ ··· + 17.2481u − 5.63399
4.35366u
101
+ 6.10832u
100
+ ··· − 9.23414u + 0.481405
a
11
=
−0.708680u
101
− 1.92696u
100
+ ··· + 32.4688u − 0.824193
−0.871481u
101
− 1.34105u
100
+ ··· − 1.53831u − 0.889909
a
4
=
−4.67359u
101
− 7.60736u
100
+ ··· + 9.22531u + 6.10870
3.83528u
101
+ 4.33379u
100
+ ··· + 3.88585u − 2.23360
a
4
=
−4.67359u
101
− 7.60736u
100
+ ··· + 9.22531u + 6.10870
3.83528u
101
+ 4.33379u
100
+ ··· + 3.88585u − 2.23360
(ii) Obstruction class = −1
(iii) Cusp Shapes = 1.09737u
101
− 1.38542u
100
+ ··· + 37.0844u + 1.81533
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
102
− 2u
101
+ ··· − 5u − 1
c
2
u
102
+ 46u
101
+ ··· + 37u + 1
c
3
, c
7
u
102
− 39u
100
+ ··· − 21u + 1
c
4
u
102
− 2u
101
+ ··· + 9118u − 2449
c
6
u
102
− 2u
101
+ ··· − 326u − 71
c
8
u
102
+ 3u
101
+ ··· − 81u − 19
c
9
u
102
− 14u
100
+ ··· + 64416u + 8677
c
10
u
102
+ 3u
101
+ ··· + 153u − 7
c
11
u
102
− 8u
101
+ ··· − 17631u + 2935
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
102
+ 46y
101
+ ··· + 37y + 1
c
2
y
102
+ 26y
101
+ ··· − 171y + 1
c
3
, c
7
y
102
− 78y
101
+ ··· + 71y + 1
c
4
y
102
− 24y
101
+ ··· − 245491930y + 5997601
c
6
y
102
+ 16y
101
+ ··· + 36292y + 5041
c
8
y
102
− 13y
101
+ ··· − 22977y + 361
c
9
y
102
− 28y
101
+ ··· − 473410006y + 75290329
c
10
y
102
+ 13y
101
+ ··· − 645y + 49
c
11
y
102
− 18y
101
+ ··· + 127701409y + 8614225
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.546716 + 0.841027I
a = −1.19778 + 1.67154I
b = 0.181876 − 1.221980I
5.02215 + 2.31431I 0
u = 0.546716 − 0.841027I
a = −1.19778 − 1.67154I
b = 0.181876 + 1.221980I
5.02215 − 2.31431I 0
u = −0.910994 + 0.431263I
a = 1.33540 + 0.86176I
b = 0.152736 − 1.327330I
6.30779 + 12.49790I 0
u = −0.910994 − 0.431263I
a = 1.33540 − 0.86176I
b = 0.152736 + 1.327330I
6.30779 − 12.49790I 0
u = 0.913597 + 0.430094I
a = 1.30200 − 0.68866I
b = 0.205987 + 1.215020I
1.31002 − 6.75104I 0
u = 0.913597 − 0.430094I
a = 1.30200 + 0.68866I
b = 0.205987 − 1.215020I
1.31002 + 6.75104I 0
u = 0.518131 + 0.866736I
a = −1.32102 + 0.75450I
b = 1.63015 − 1.94328I
4.96667 + 1.96860I 0
u = 0.518131 − 0.866736I
a = −1.32102 − 0.75450I
b = 1.63015 + 1.94328I
4.96667 − 1.96860I 0
u = −0.936988 + 0.299819I
a = 1.62091 + 0.34671I
b = 0.232284 − 0.722761I
5.22245 − 0.61170I 0
u = −0.936988 − 0.299819I
a = 1.62091 − 0.34671I
b = 0.232284 + 0.722761I
5.22245 + 0.61170I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.348224 + 0.918489I
a = 0.068949 − 0.830583I
b = −0.452913 − 0.345870I
−1.76294 − 2.23528I 0
u = −0.348224 − 0.918489I
a = 0.068949 + 0.830583I
b = −0.452913 + 0.345870I
−1.76294 + 2.23528I 0
u = −0.424020 + 0.928079I
a = −0.042068 + 0.667634I
b = 1.140310 + 0.517906I
−2.05900 − 0.88708I 0
u = −0.424020 − 0.928079I
a = −0.042068 − 0.667634I
b = 1.140310 − 0.517906I
−2.05900 + 0.88708I 0
u = 0.768345 + 0.605608I
a = 1.130330 + 0.351165I
b = −0.99774 + 1.41995I
7.07739 − 3.89935I 0
u = 0.768345 − 0.605608I
a = 1.130330 − 0.351165I
b = −0.99774 − 1.41995I
7.07739 + 3.89935I 0
u = −0.161509 + 1.011950I
a = 1.237860 + 0.371151I
b = −0.396058 + 0.014652I
1.72657 + 1.42609I 0
u = −0.161509 − 1.011950I
a = 1.237860 − 0.371151I
b = −0.396058 − 0.014652I
1.72657 − 1.42609I 0
u = −0.762854 + 0.685546I
a = −0.77801 − 1.50504I
b = −0.21488 + 1.47469I
5.99433 + 2.25625I 0
u = −0.762854 − 0.685546I
a = −0.77801 + 1.50504I
b = −0.21488 − 1.47469I
5.99433 − 2.25625I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.381025 + 0.968579I
a = 2.32662 + 0.53559I
b = −2.41585 − 0.71894I
0.30261 + 2.42814I 0
u = −0.381025 − 0.968579I
a = 2.32662 − 0.53559I
b = −2.41585 + 0.71894I
0.30261 − 2.42814I 0
u = 0.380432 + 0.982651I
a = 1.51391 − 0.96311I
b = −1.62844 + 1.33790I
−3.75520 + 1.20274I 0
u = 0.380432 − 0.982651I
a = 1.51391 + 0.96311I
b = −1.62844 − 1.33790I
−3.75520 − 1.20274I 0
u = 0.907967 + 0.542230I
a = −0.358082 + 0.812397I
b = −0.233116 − 0.784920I
3.25805 − 3.74660I 0
u = 0.907967 − 0.542230I
a = −0.358082 − 0.812397I
b = −0.233116 + 0.784920I
3.25805 + 3.74660I 0
u = 0.336564 + 1.002720I
a = 0.793503 − 0.833640I
b = 0.354003 + 0.058896I
−0.65253 − 2.63980I 0
u = 0.336564 − 1.002720I
a = 0.793503 + 0.833640I
b = 0.354003 − 0.058896I
−0.65253 + 2.63980I 0
u = −0.867660 + 0.335592I
a = −0.547466 − 0.238777I
b = 0.267014 + 0.446348I
1.38934 + 0.39182I 0
u = −0.867660 − 0.335592I
a = −0.547466 + 0.238777I
b = 0.267014 − 0.446348I
1.38934 − 0.39182I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.838051 + 0.668944I
a = 1.075680 − 0.069757I
b = −0.646687 − 1.246750I
2.82119 − 2.36401I 0
u = −0.838051 − 0.668944I
a = 1.075680 + 0.069757I
b = −0.646687 + 1.246750I
2.82119 + 2.36401I 0
u = −0.504029 + 0.951532I
a = −2.24845 − 0.35174I
b = 1.96204 + 2.04629I
−1.51432 − 4.25684I 0
u = −0.504029 − 0.951532I
a = −2.24845 + 0.35174I
b = 1.96204 − 2.04629I
−1.51432 + 4.25684I 0
u = 0.886342 + 0.637949I
a = 0.939358 + 0.188412I
b = −0.867093 + 0.989781I
7.56384 + 8.00259I 0
u = 0.886342 − 0.637949I
a = 0.939358 − 0.188412I
b = −0.867093 − 0.989781I
7.56384 − 8.00259I 0
u = −0.505158 + 0.979164I
a = −1.39013 + 0.56499I
b = 1.10432 − 1.25247I
1.08112 − 8.06609I 0
u = −0.505158 − 0.979164I
a = −1.39013 − 0.56499I
b = 1.10432 + 1.25247I
1.08112 + 8.06609I 0
u = 0.711464 + 0.542127I
a = −1.09507 + 1.07155I
b = 0.116144 − 1.373020I
2.68100 − 2.12226I 0
u = 0.711464 − 0.542127I
a = −1.09507 − 1.07155I
b = 0.116144 + 1.373020I
2.68100 + 2.12226I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.472446 + 1.007140I
a = −0.498508 − 0.459792I
b = 0.226557 + 1.275670I
−3.15750 + 4.83334I 0
u = 0.472446 − 1.007140I
a = −0.498508 + 0.459792I
b = 0.226557 − 1.275670I
−3.15750 − 4.83334I 0
u = 0.512406 + 1.014650I
a = −2.28814 + 0.84392I
b = 1.63835 − 2.12595I
0.47157 + 8.78333I 0
u = 0.512406 − 1.014650I
a = −2.28814 − 0.84392I
b = 1.63835 + 2.12595I
0.47157 − 8.78333I 0
u = −0.443690 + 0.740067I
a = −1.47397 − 2.10514I
b = −0.38964 + 1.77473I
−0.768256 + 0.283969I 0
u = −0.443690 − 0.740067I
a = −1.47397 + 2.10514I
b = −0.38964 − 1.77473I
−0.768256 − 0.283969I 0
u = −0.485068 + 1.040750I
a = 1.083250 + 0.313226I
b = −0.96238 − 1.16637I
−0.62443 − 3.83028I 0
u = −0.485068 − 1.040750I
a = 1.083250 − 0.313226I
b = −0.96238 + 1.16637I
−0.62443 + 3.83028I 0
u = −0.714449 + 0.446789I
a = −1.39364 − 0.82917I
b = 0.49665 + 1.57085I
6.25851 + 3.14258I 12.90912 − 3.40540I
u = −0.714449 − 0.446789I
a = −1.39364 + 0.82917I
b = 0.49665 − 1.57085I
6.25851 − 3.14258I 12.90912 + 3.40540I
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.010623 + 1.160570I
a = 0.399937 − 0.342167I
b = −0.549931 − 0.398269I
−3.22104 − 2.07457I 0
u = −0.010623 − 1.160570I
a = 0.399937 + 0.342167I
b = −0.549931 + 0.398269I
−3.22104 + 2.07457I 0
u = 0.184970 + 0.814478I
a = 1.089970 − 0.393382I
b = −0.304161 − 0.600628I
−1.71950 − 1.55631I 0. + 5.16105I
u = 0.184970 − 0.814478I
a = 1.089970 + 0.393382I
b = −0.304161 + 0.600628I
−1.71950 + 1.55631I 0. − 5.16105I
u = −0.315832 + 1.121810I
a = 0.285651 + 1.088590I
b = −0.80567 − 1.77754I
0.64011 − 4.17517I 0
u = −0.315832 − 1.121810I
a = 0.285651 − 1.088590I
b = −0.80567 + 1.77754I
0.64011 + 4.17517I 0
u = 0.380666 + 1.110880I
a = 0.728299 + 0.343784I
b = −0.854582 + 0.712671I
−1.02724 + 3.84003I 0
u = 0.380666 − 1.110880I
a = 0.728299 − 0.343784I
b = −0.854582 − 0.712671I
−1.02724 − 3.84003I 0
u = −0.662917 + 0.979688I
a = −1.89971 − 0.56380I
b = 1.80912 + 1.53790I
5.08526 − 7.66215I 0
u = −0.662917 − 0.979688I
a = −1.89971 + 0.56380I
b = 1.80912 − 1.53790I
5.08526 + 7.66215I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.403141 + 0.700006I
a = 1.58780 − 0.55446I
b = −0.62884 + 1.29837I
2.08822 + 4.14738I 5.91848 − 4.99016I
u = −0.403141 − 0.700006I
a = 1.58780 + 0.55446I
b = −0.62884 − 1.29837I
2.08822 − 4.14738I 5.91848 + 4.99016I
u = −0.689076 + 0.977800I
a = 0.994641 + 0.951390I
b = 0.15446 − 1.53287I
1.87918 − 3.30865I 0
u = −0.689076 − 0.977800I
a = 0.994641 − 0.951390I
b = 0.15446 + 1.53287I
1.87918 + 3.30865I 0
u = 0.605344 + 1.038500I
a = −1.75704 + 0.85997I
b = 1.42964 − 1.72434I
1.19886 + 7.18632I 0
u = 0.605344 − 1.038500I
a = −1.75704 − 0.85997I
b = 1.42964 + 1.72434I
1.19886 − 7.18632I 0
u = 0.649296 + 1.019550I
a = 0.87338 − 1.39300I
b = 0.61169 + 1.58068I
5.82598 + 9.26479I 0
u = 0.649296 − 1.019550I
a = 0.87338 + 1.39300I
b = 0.61169 − 1.58068I
5.82598 − 9.26479I 0
u = 0.526098 + 1.098500I
a = −0.37261 + 1.45756I
b = 0.13000 − 1.71542I
4.36168 + 3.54189I 0
u = 0.526098 − 1.098500I
a = −0.37261 − 1.45756I
b = 0.13000 + 1.71542I
4.36168 − 3.54189I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.645470 + 0.436272I
a = −1.51263 − 0.10162I
b = 1.192850 − 0.631249I
6.34669 + 1.05018I 13.33822 − 2.96795I
u = 0.645470 − 0.436272I
a = −1.51263 + 0.10162I
b = 1.192850 + 0.631249I
6.34669 − 1.05018I 13.33822 + 2.96795I
u = 0.777412
a = 0.335267
b = 0.863939
2.43364 3.98710
u = −0.586836 + 1.074450I
a = −1.74670 − 1.33399I
b = 1.16360 + 2.01117I
4.41615 − 8.13681I 0
u = −0.586836 − 1.074450I
a = −1.74670 + 1.33399I
b = 1.16360 − 2.01117I
4.41615 + 8.13681I 0
u = 0.754022 + 1.016080I
a = 0.531329 − 0.867731I
b = 0.341734 + 1.088120I
6.42583 − 1.99123I 0
u = 0.754022 − 1.016080I
a = 0.531329 + 0.867731I
b = 0.341734 − 1.088120I
6.42583 + 1.99123I 0
u = −0.077721 + 1.282840I
a = −0.350452 + 0.006592I
b = −0.345037 − 0.763343I
0.16785 + 9.63948I 0
u = −0.077721 − 1.282840I
a = −0.350452 − 0.006592I
b = −0.345037 + 0.763343I
0.16785 − 9.63948I 0
u = 0.685100 + 1.110090I
a = −1.239840 + 0.322500I
b = 1.24636 − 0.96116I
1.48920 + 9.62261I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.685100 − 1.110090I
a = −1.239840 − 0.322500I
b = 1.24636 + 0.96116I
1.48920 − 9.62261I 0
u = −0.623130 + 1.152470I
a = −0.816737 − 0.612012I
b = 0.731605 + 1.070220I
−1.01285 − 5.88545I 0
u = −0.623130 − 1.152470I
a = −0.816737 + 0.612012I
b = 0.731605 − 1.070220I
−1.01285 + 5.88545I 0
u = 0.070552 + 1.313550I
a = −0.0567565 − 0.0089612I
b = −0.590662 + 0.645402I
−4.91138 − 3.81366I 0
u = 0.070552 − 1.313550I
a = −0.0567565 + 0.0089612I
b = −0.590662 − 0.645402I
−4.91138 + 3.81366I 0
u = 0.656232 + 1.143470I
a = 1.47930 − 0.87156I
b = −1.26803 + 2.14541I
−0.85558 + 12.50630I 0
u = 0.656232 − 1.143470I
a = 1.47930 + 0.87156I
b = −1.26803 − 2.14541I
−0.85558 − 12.50630I 0
u = −0.654776 + 1.144510I
a = 1.59713 + 0.98601I
b = −1.38915 − 2.21983I
4.1396 − 18.2450I 0
u = −0.654776 − 1.144510I
a = 1.59713 − 0.98601I
b = −1.38915 + 2.21983I
4.1396 + 18.2450I 0
u = −0.613398 + 0.253704I
a = 0.726159 + 0.137434I
b = 0.348798 − 0.412040I
1.49929 − 0.29141I 5.98153 + 0.11289I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.613398 − 0.253704I
a = 0.726159 − 0.137434I
b = 0.348798 + 0.412040I
1.49929 + 0.29141I 5.98153 − 0.11289I
u = −0.639970
a = 0.00425908
b = 0.486824
1.15599 11.7830
u = 0.300150 + 0.557793I
a = −2.11925 + 1.68467I
b = 0.16460 − 1.80636I
1.94932 − 4.82613I 5.93840 + 5.80122I
u = 0.300150 − 0.557793I
a = −2.11925 − 1.68467I
b = 0.16460 + 1.80636I
1.94932 + 4.82613I 5.93840 − 5.80122I
u = −0.687034 + 1.194130I
a = 1.117490 + 0.759585I
b = −1.04280 − 2.27076I
2.56452 − 5.34624I 0
u = −0.687034 − 1.194130I
a = 1.117490 − 0.759585I
b = −1.04280 + 2.27076I
2.56452 + 5.34624I 0
u = −0.235498 + 1.372370I
a = 0.214681 − 0.146318I
b = −0.370603 + 0.393439I
−4.11255 − 3.30494I 0
u = −0.235498 − 1.372370I
a = 0.214681 + 0.146318I
b = −0.370603 − 0.393439I
−4.11255 + 3.30494I 0
u = 0.290031 + 0.120688I
a = 2.87656 + 0.87251I
b = −0.070464 − 0.476487I
−1.38492 − 1.35842I −0.44992 + 2.98076I
u = 0.290031 − 0.120688I
a = 2.87656 − 0.87251I
b = −0.070464 + 0.476487I
−1.38492 + 1.35842I −0.44992 − 2.98076I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.072640 + 0.207452I
a = −4.59578 + 2.52040I
b = 0.216472 − 1.280150I
1.92621 − 4.88869I 6.37356 + 5.88182I
u = 0.072640 − 0.207452I
a = −4.59578 − 2.52040I
b = 0.216472 + 1.280150I
1.92621 + 4.88869I 6.37356 − 5.88182I
15
II.
I
u
2
= h4u
18
+3u
17
+· · ·+b−5, −4u
18
−6u
17
+· · ·+a+3, u
19
+u
18
+· · ·+3u+1i
(i) Arc colorings
a
2
=
1
0
a
6
=
0
u
a
1
=
1
u
2
a
3
=
u
2
+ 1
u
4
a
9
=
4u
18
+ 6u
17
+ ··· − u − 3
−4u
18
− 3u
17
+ ··· + 11u + 5
a
10
=
3u
18
+ 5u
17
+ ··· − u − 2
−3u
18
− 2u
17
+ ··· + 11u + 5
a
7
=
−4u
18
− 5u
17
+ ··· + 6u + 4
6u
18
+ 10u
17
+ ··· + 24u
2
+ 8u
a
5
=
−u
u
a
8
=
4u
18
+ 5u
17
+ ··· − 10u − 6
−4u
18
− 2u
17
+ ··· + 20u + 8
a
11
=
−6u
18
− 4u
17
+ ··· + 12u + 3
6u
18
+ 7u
17
+ ··· − u − 1
a
4
=
2u
18
+ 9u
16
+ ··· − 3u + 1
3u
18
+ 6u
17
+ ··· + 21u
2
+ 8u
a
4
=
2u
18
+ 9u
16
+ ··· − 3u + 1
3u
18
+ 6u
17
+ ··· + 21u
2
+ 8u
(ii) Obstruction class = 1
(iii) Cusp Shapes = 9u
18
−7u
17
+ 21u
16
−64u
15
−7u
14
−180u
13
−111u
12
−308u
11
−
298u
10
− 355u
9
− 411u
8
− 322u
7
− 405u
6
− 284u
5
− 267u
4
− 199u
3
− 123u
2
− 75u − 18
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
19
+ u
18
+ ··· + 3u + 1
c
2
u
19
+ 11u
18
+ ··· − 3u − 1
c
3
u
19
− u
18
+ ··· + 3u + 1
c
4
u
19
+ u
18
+ ··· + 4u
2
− 1
c
5
u
19
− u
18
+ ··· + 3u − 1
c
6
u
19
+ u
18
+ ··· + 2u − 1
c
7
u
19
+ u
18
+ ··· + 3u − 1
c
8
u
19
− 4u
17
+ ··· − u + 1
c
9
u
19
− u
18
+ ··· − 4u + 1
c
10
u
19
+ 10u
18
+ ··· + u + 1
c
11
u
19
− 9u
18
+ ··· + 9u − 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
19
+ 11y
18
+ ··· − 3y −1
c
2
y
19
− y
18
+ ··· + y −1
c
3
, c
7
y
19
− 17y
18
+ ··· + 11y −1
c
4
y
19
− 3y
18
+ ··· + 8y −1
c
6
y
19
+ 5y
18
+ ··· − 2y −1
c
8
y
19
− 8y
18
+ ··· + 3y −1
c
9
y
19
+ y
18
+ ··· + 16y −1
c
10
y
19
+ 6y
18
+ ··· + 11y −1
c
11
y
19
+ 7y
18
+ ··· − 3y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.756785 + 0.627945I
a = −0.452433 + 0.973447I
b = −0.207776 − 1.275560I
4.17315 − 3.45944I 9.43557 + 4.00641I
u = 0.756785 − 0.627945I
a = −0.452433 − 0.973447I
b = −0.207776 + 1.275560I
4.17315 + 3.45944I 9.43557 − 4.00641I
u = 0.339623 + 0.919258I
a = 2.24756 − 0.52382I
b = −1.321130 + 0.107053I
0.86544 − 3.34083I 3.34354 + 4.41577I
u = 0.339623 − 0.919258I
a = 2.24756 + 0.52382I
b = −1.321130 − 0.107053I
0.86544 + 3.34083I 3.34354 − 4.41577I
u = 0.289824 + 0.910566I
a = −0.139626 − 1.198030I
b = 0.45271 + 2.08321I
0.97791 + 5.98873I 3.06705 − 8.24706I
u = 0.289824 − 0.910566I
a = −0.139626 + 1.198030I
b = 0.45271 − 2.08321I
0.97791 − 5.98873I 3.06705 + 8.24706I
u = −0.412083 + 1.018240I
a = 0.838502 − 0.039949I
b = −0.96015 − 1.15690I
−2.67947 − 3.32318I −4.16053 + 3.59653I
u = −0.412083 − 1.018240I
a = 0.838502 + 0.039949I
b = −0.96015 + 1.15690I
−2.67947 + 3.32318I −4.16053 − 3.59653I
u = −0.295559 + 0.809856I
a = 0.86554 + 1.47296I
b = 0.422703 − 0.430824I
−1.72030 + 0.39989I −1.68186 − 0.51618I
u = −0.295559 − 0.809856I
a = 0.86554 − 1.47296I
b = 0.422703 + 0.430824I
−1.72030 − 0.39989I −1.68186 + 0.51618I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.849830
a = 0.195511
b = 0.504885
0.655524 −7.38950
u = 0.612447 + 1.019280I
a = −1.83602 + 0.52614I
b = 1.41766 − 1.16542I
2.94345 + 8.65071I 5.93756 − 9.11510I
u = 0.612447 − 1.019280I
a = −1.83602 − 0.52614I
b = 1.41766 + 1.16542I
2.94345 − 8.65071I 5.93756 + 9.11510I
u = −0.643913 + 1.140600I
a = −1.18488 − 0.86715I
b = 1.04791 + 2.13371I
2.40281 − 5.12847I 0.682236 − 1.181576I
u = −0.643913 − 1.140600I
a = −1.18488 + 0.86715I
b = 1.04791 − 2.13371I
2.40281 + 5.12847I 0.682236 + 1.181576I
u = −0.185848 + 1.360350I
a = 0.0181661 + 0.0703459I
b = 0.260654 − 0.457432I
−4.05934 − 3.53517I 6.8503 + 17.2063I
u = −0.185848 − 1.360350I
a = 0.0181661 − 0.0703459I
b = 0.260654 + 0.457432I
−4.05934 + 3.53517I 6.8503 − 17.2063I
u = −0.536362 + 0.225069I
a = −2.45456 − 0.82764I
b = 0.634975 + 0.421993I
4.99327 − 0.03621I 8.72091 − 1.39804I
u = −0.536362 − 0.225069I
a = −2.45456 + 0.82764I
b = 0.634975 − 0.421993I
4.99327 + 0.03621I 8.72091 + 1.39804I
20
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
19
+ u
18
+ ··· + 3u + 1)(u
102
− 2u
101
+ ··· − 5u − 1)
c
2
(u
19
+ 11u
18
+ ··· − 3u − 1)(u
102
+ 46u
101
+ ··· + 37u + 1)
c
3
(u
19
− u
18
+ ··· + 3u + 1)(u
102
− 39u
100
+ ··· − 21u + 1)
c
4
(u
19
+ u
18
+ ··· + 4u
2
− 1)(u
102
− 2u
101
+ ··· + 9118u − 2449)
c
5
(u
19
− u
18
+ ··· + 3u − 1)(u
102
− 2u
101
+ ··· − 5u − 1)
c
6
(u
19
+ u
18
+ ··· + 2u − 1)(u
102
− 2u
101
+ ··· − 326u − 71)
c
7
(u
19
+ u
18
+ ··· + 3u − 1)(u
102
− 39u
100
+ ··· − 21u + 1)
c
8
(u
19
− 4u
17
+ ··· − u + 1)(u
102
+ 3u
101
+ ··· − 81u − 19)
c
9
(u
19
− u
18
+ ··· − 4u + 1)(u
102
− 14u
100
+ ··· + 64416u + 8677)
c
10
(u
19
+ 10u
18
+ ··· + u + 1)(u
102
+ 3u
101
+ ··· + 153u − 7)
c
11
(u
19
− 9u
18
+ ··· + 9u − 1)(u
102
− 8u
101
+ ··· − 17631u + 2935)
21
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
19
+ 11y
18
+ ··· − 3y −1)(y
102
+ 46y
101
+ ··· + 37y + 1)
c
2
(y
19
− y
18
+ ··· + y −1)(y
102
+ 26y
101
+ ··· − 171y + 1)
c
3
, c
7
(y
19
− 17y
18
+ ··· + 11y −1)(y
102
− 78y
101
+ ··· + 71y + 1)
c
4
(y
19
− 3y
18
+ ··· + 8y −1)
· (y
102
− 24y
101
+ ··· − 245491930y + 5997601)
c
6
(y
19
+ 5y
18
+ ··· − 2y −1)(y
102
+ 16y
101
+ ··· + 36292y + 5041)
c
8
(y
19
− 8y
18
+ ··· + 3y −1)(y
102
− 13y
101
+ ··· − 22977y + 361)
c
9
(y
19
+ y
18
+ ··· + 16y −1)
· (y
102
− 28y
101
+ ··· − 473410006y + 75290329)
c
10
(y
19
+ 6y
18
+ ··· + 11y −1)(y
102
+ 13y
101
+ ··· − 645y + 49)
c
11
(y
19
+ 7y
18
+ ··· − 3y −1)
· (y
102
− 18y
101
+ ··· + 127701409y + 8614225)
22
