12a
1070
(K12a
1070
)
A knot diagram
1
Linearized knot diagam
4 7 10 9 8 2 11 12 1 3 6 5
Solving Sequence
5,12 1,9
10 4 2 3 8 6 11 7
c
12
c
9
c
4
c
1
c
3
c
8
c
5
c
11
c
7
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h9.45965 × 10
1721
u
173
4.57206 × 10
1722
u
172
+ ··· + 2.43243 × 10
1723
b + 4.21326 × 10
1726
,
1.64927 × 10
1727
u
173
7.76624 × 10
1727
u
172
+ ··· + 2.70790 × 10
1728
a + 9.82920 × 10
1731
,
u
174
5u
173
+ ··· + 99447u + 22265i
I
u
2
= h2.19598 × 10
92
u
42
+ 4.98103 × 10
91
u
41
+ ··· + 3.59193 × 10
92
b + 1.33922 × 10
93
,
4.87821 × 10
93
u
42
+ 1.67362 × 10
92
u
41
+ ··· + 8.97983 × 10
93
a + 8.06880 × 10
94
, u
43
+ 3u
40
+ ··· + 29u 5i
* 2 irreducible components of dim
C
= 0, with total 217 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
= h9.46 × 10
1721
u
173
4.57 × 10
1722
u
172
+ · · · + 2.43 × 10
1723
b + 4.21 ×
10
1726
, 1.65 × 10
1727
u
173
7.77 × 10
1727
u
172
+ · · · + 2.71 × 10
1728
a + 9.83 ×
10
1731
, u
174
5u
173
+ · · · + 99447u + 22265i
(i) Arc colorings
a
5
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
9
=
0.0609059u
173
+ 0.286799u
172
+ ··· 21655.1u 3629.83
0.0388898u
173
+ 0.187963u
172
+ ··· 10866.0u 1732.12
a
10
=
0.0335835u
173
+ 0.154766u
172
+ ··· 13908.3u 2292.47
0.0332061u
173
+ 0.159047u
172
+ ··· 9802.45u 1630.20
a
4
=
0.0989110u
173
+ 0.523817u
172
+ ··· 6895.26u + 2195.35
0.00602631u
173
0.0328215u
172
+ ··· 493.733u 342.048
a
2
=
0.0158777u
173
0.0132227u
172
+ ··· 45517.5u 13549.2
0.0248900u
173
0.119614u
172
+ ··· + 8107.31u + 1055.68
a
3
=
0.0960320u
173
+ 0.506440u
172
+ ··· 6276.04u + 2568.70
0.0544938u
173
+ 0.296688u
172
+ ··· 722.281u + 1762.03
a
8
=
0.0220161u
173
+ 0.0988365u
172
+ ··· 10789.1u 1897.71
0.0388898u
173
+ 0.187963u
172
+ ··· 10866.0u 1732.12
a
6
=
0.0777198u
173
+ 0.407364u
172
+ ··· 6627.03u + 1548.23
0.0272175u
173
+ 0.149275u
172
+ ··· + 227.501u + 989.161
a
11
=
0.0129804u
173
+ 0.0565859u
172
+ ··· 667.159u 222.955
0.0435563u
173
0.174852u
172
+ ··· + 26617.6u + 6102.75
a
7
=
0.0113813u
173
0.0221015u
172
+ ··· + 20549.4u + 6441.65
0.0483948u
173
+ 0.274933u
172
+ ··· + 3710.35u + 2959.34
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.103163u
173
+ 0.624534u
172
+ ··· + 27015.3u + 11050.7
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
5(5u
174
56u
173
+ ··· 31908u + 1387)
c
2
, c
6
u
174
2u
173
+ ··· + 4042765u + 913579
c
3
, c
10
u
174
+ u
173
+ ··· + 131340u + 6023
c
4
5(5u
174
+ 26u
173
+ ··· + 20363u + 1637)
c
5
5(5u
174
+ 86u
173
+ ··· + 895002u + 151163)
c
7
5(5u
174
+ 43u
173
+ ··· 4.70613 × 10
9
u 3.70127 × 10
8
)
c
8
u
174
+ 4u
173
+ ··· 49199u + 15565
c
9
u
174
+ 5u
173
+ ··· 1040129u 102703
c
11
u
174
u
173
+ ··· + 18522u + 2029
c
12
u
174
5u
173
+ ··· + 99447u + 22265
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
25(25y
174
1136y
173
+ ··· 8.80288 × 10
7
y + 1923769)
c
2
, c
6
y
174
114y
173
+ ··· 29118856544981y + 834626589241
c
3
, c
10
y
174
+ 147y
173
+ ··· + 21193565398y + 36276529
c
4
25(25y
174
+ 4y
173
+ ··· + 1.13562 × 10
8
y + 2679769)
c
5
25(25y
174
+ 304y
173
+ ··· 4.27927 × 10
11
y + 2.28503 × 10
10
)
c
7
25(25y
174
1259y
173
+ ··· 7.99773 × 10
18
y + 1.36994 × 10
17
)
c
8
y
174
28y
173
+ ··· 20350176401y + 242269225
c
9
y
174
39y
173
+ ··· 2659529379217y + 10547906209
c
11
y
174
+ y
173
+ ··· + 126543508y + 4116841
c
12
y
174
+ 27y
173
+ ··· + 39776918751y + 495730225
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.698557 + 0.698344I
a = 0.153713 0.930338I
b = 1.31046 0.91784I
0.20315 4.84690I 0
u = 0.698557 0.698344I
a = 0.153713 + 0.930338I
b = 1.31046 + 0.91784I
0.20315 + 4.84690I 0
u = 0.286593 + 0.975011I
a = 1.46215 + 0.51074I
b = 0.267939 0.084996I
1.81985 1.82722I 0
u = 0.286593 0.975011I
a = 1.46215 0.51074I
b = 0.267939 + 0.084996I
1.81985 + 1.82722I 0
u = 0.638165 + 0.744905I
a = 0.402101 + 0.324657I
b = 1.275630 + 0.347936I
0.86953 + 2.10430I 0
u = 0.638165 0.744905I
a = 0.402101 0.324657I
b = 1.275630 0.347936I
0.86953 2.10430I 0
u = 0.777829 + 0.677184I
a = 0.235396 + 0.509879I
b = 1.37533 + 1.01890I
0.15603 + 6.59194I 0
u = 0.777829 0.677184I
a = 0.235396 0.509879I
b = 1.37533 1.01890I
0.15603 6.59194I 0
u = 0.005088 + 0.961021I
a = 0.212205 + 0.093270I
b = 1.80034 + 0.14656I
7.04267 + 0.20044I 0
u = 0.005088 0.961021I
a = 0.212205 0.093270I
b = 1.80034 0.14656I
7.04267 0.20044I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.845850 + 0.450978I
a = 0.835697 + 0.397554I
b = 0.328803 + 0.365062I
2.33913 + 0.17780I 0
u = 0.845850 0.450978I
a = 0.835697 0.397554I
b = 0.328803 0.365062I
2.33913 0.17780I 0
u = 1.000410 + 0.312860I
a = 1.13257 + 0.90615I
b = 0.665417 + 0.372567I
5.87512 + 0.12289I 0
u = 1.000410 0.312860I
a = 1.13257 0.90615I
b = 0.665417 0.372567I
5.87512 0.12289I 0
u = 0.797274 + 0.682717I
a = 0.293997 + 0.663643I
b = 1.002460 + 0.711322I
1.47877 + 2.36268I 0
u = 0.797274 0.682717I
a = 0.293997 0.663643I
b = 1.002460 0.711322I
1.47877 2.36268I 0
u = 0.284471 + 0.905336I
a = 0.383310 0.450445I
b = 1.45671 0.43447I
0.85549 + 3.26802I 0
u = 0.284471 0.905336I
a = 0.383310 + 0.450445I
b = 1.45671 + 0.43447I
0.85549 3.26802I 0
u = 0.541287 + 0.766389I
a = 1.058720 0.937473I
b = 0.797198 + 0.116074I
0.181454 + 0.443719I 0
u = 0.541287 0.766389I
a = 1.058720 + 0.937473I
b = 0.797198 0.116074I
0.181454 0.443719I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.175493 + 1.056680I
a = 0.937739 0.770366I
b = 0.123094 0.880054I
10.53250 4.51798I 0
u = 0.175493 1.056680I
a = 0.937739 + 0.770366I
b = 0.123094 + 0.880054I
10.53250 + 4.51798I 0
u = 0.722774 + 0.575645I
a = 0.568934 + 0.744746I
b = 1.033990 + 0.137144I
2.53301 + 2.01681I 0
u = 0.722774 0.575645I
a = 0.568934 0.744746I
b = 1.033990 0.137144I
2.53301 2.01681I 0
u = 0.054555 + 1.097210I
a = 0.292802 + 0.882177I
b = 0.478007 + 0.899767I
6.00326 + 0.51337I 0
u = 0.054555 1.097210I
a = 0.292802 0.882177I
b = 0.478007 0.899767I
6.00326 0.51337I 0
u = 0.802357 + 0.764071I
a = 0.23165 + 1.39883I
b = 0.720143 + 0.315855I
1.40094 7.28274I 0
u = 0.802357 0.764071I
a = 0.23165 1.39883I
b = 0.720143 0.315855I
1.40094 + 7.28274I 0
u = 0.927107 + 0.607694I
a = 0.119337 0.431479I
b = 1.18174 0.80369I
2.36415 2.87487I 0
u = 0.927107 0.607694I
a = 0.119337 + 0.431479I
b = 1.18174 + 0.80369I
2.36415 + 2.87487I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.255798 + 0.831083I
a = 1.16903 + 1.15776I
b = 0.519313 + 0.654195I
0.48095 + 2.13402I 0
u = 0.255798 0.831083I
a = 1.16903 1.15776I
b = 0.519313 0.654195I
0.48095 2.13402I 0
u = 0.866531
a = 1.39589
b = 0.429024
2.42565 0
u = 0.575877 + 0.646140I
a = 1.260670 + 0.598978I
b = 0.606518 0.366665I
0.980758 0.917234I 0
u = 0.575877 0.646140I
a = 1.260670 0.598978I
b = 0.606518 + 0.366665I
0.980758 + 0.917234I 0
u = 0.511372 + 0.695937I
a = 0.544200 1.206950I
b = 0.494477 + 0.045478I
0.077511 + 0.797727I 0
u = 0.511372 0.695937I
a = 0.544200 + 1.206950I
b = 0.494477 0.045478I
0.077511 0.797727I 0
u = 0.608205 + 0.961110I
a = 0.234990 + 1.299350I
b = 1.25675 + 1.42632I
1.80993 + 5.69473I 0
u = 0.608205 0.961110I
a = 0.234990 1.299350I
b = 1.25675 1.42632I
1.80993 5.69473I 0
u = 0.682883 + 0.912097I
a = 0.039149 1.117710I
b = 0.59356 1.45838I
3.12491 5.02083I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.682883 0.912097I
a = 0.039149 + 1.117710I
b = 0.59356 + 1.45838I
3.12491 + 5.02083I 0
u = 0.487179 + 1.042030I
a = 0.43495 1.39281I
b = 1.43063 1.26062I
0.97011 4.47185I 0
u = 0.487179 1.042030I
a = 0.43495 + 1.39281I
b = 1.43063 + 1.26062I
0.97011 + 4.47185I 0
u = 0.946470 + 0.668264I
a = 0.036513 1.150930I
b = 0.647454 0.150459I
3.55036 + 2.34707I 0
u = 0.946470 0.668264I
a = 0.036513 + 1.150930I
b = 0.647454 + 0.150459I
3.55036 2.34707I 0
u = 0.991020 + 0.602042I
a = 0.404303 + 0.294539I
b = 0.915098 + 0.090311I
0.50080 + 2.53096I 0
u = 0.991020 0.602042I
a = 0.404303 0.294539I
b = 0.915098 0.090311I
0.50080 2.53096I 0
u = 0.263831 + 0.782920I
a = 1.38228 + 0.84270I
b = 0.626392 + 0.696389I
10.23540 0.95787I 0
u = 0.263831 0.782920I
a = 1.38228 0.84270I
b = 0.626392 0.696389I
10.23540 + 0.95787I 0
u = 0.209122 + 0.797922I
a = 0.48023 1.47143I
b = 0.55463 1.56139I
9.6261 + 12.1455I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.209122 0.797922I
a = 0.48023 + 1.47143I
b = 0.55463 + 1.56139I
9.6261 12.1455I 0
u = 0.801321 + 0.175615I
a = 0.148585 + 1.339030I
b = 1.001470 + 0.261162I
2.45495 5.46892I 0
u = 0.801321 0.175615I
a = 0.148585 1.339030I
b = 1.001470 0.261162I
2.45495 + 5.46892I 0
u = 0.242934 + 1.156360I
a = 0.148743 0.648518I
b = 0.861747 0.849795I
9.29684 + 4.33006I 0
u = 0.242934 1.156360I
a = 0.148743 + 0.648518I
b = 0.861747 + 0.849795I
9.29684 4.33006I 0
u = 0.249608 + 0.770434I
a = 0.60933 + 1.39576I
b = 0.540275 + 1.237460I
5.49891 6.54979I 0
u = 0.249608 0.770434I
a = 0.60933 1.39576I
b = 0.540275 1.237460I
5.49891 + 6.54979I 0
u = 0.194377 + 0.782367I
a = 1.04926 1.41865I
b = 0.789860 0.899191I
5.55265 + 6.29089I 0
u = 0.194377 0.782367I
a = 1.04926 + 1.41865I
b = 0.789860 + 0.899191I
5.55265 6.29089I 0
u = 0.150114 + 1.210260I
a = 1.24267 1.10173I
b = 1.61496 1.17761I
7.21446 4.28518I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.150114 1.210260I
a = 1.24267 + 1.10173I
b = 1.61496 + 1.17761I
7.21446 + 4.28518I 0
u = 0.147282 + 0.760873I
a = 0.097558 0.863741I
b = 0.926632 1.013020I
5.16055 1.78984I 0
u = 0.147282 0.760873I
a = 0.097558 + 0.863741I
b = 0.926632 + 1.013020I
5.16055 + 1.78984I 0
u = 0.179564 + 0.745503I
a = 1.28448 + 1.80784I
b = 0.703437 + 1.032030I
9.3946 12.0069I 0
u = 0.179564 0.745503I
a = 1.28448 1.80784I
b = 0.703437 1.032030I
9.3946 + 12.0069I 0
u = 0.702664 + 0.260466I
a = 0.765488 + 0.971831I
b = 0.734247 + 0.241748I
0.502167 + 0.910156I 0
u = 0.702664 0.260466I
a = 0.765488 0.971831I
b = 0.734247 0.241748I
0.502167 0.910156I 0
u = 0.406240 + 0.627758I
a = 0.322134 + 1.219860I
b = 0.43932 + 1.38441I
4.27792 + 3.55649I 0
u = 0.406240 0.627758I
a = 0.322134 1.219860I
b = 0.43932 1.38441I
4.27792 3.55649I 0
u = 0.198157 + 0.719343I
a = 0.96509 + 1.91995I
b = 0.55797 + 1.31214I
3.41268 + 5.87575I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.198157 0.719343I
a = 0.96509 1.91995I
b = 0.55797 1.31214I
3.41268 5.87575I 0
u = 0.250821 + 0.696797I
a = 0.564581 1.164710I
b = 0.958133 1.022980I
9.80273 + 0.88141I 0
u = 0.250821 0.696797I
a = 0.564581 + 1.164710I
b = 0.958133 + 1.022980I
9.80273 0.88141I 0
u = 0.112625 + 0.728978I
a = 0.73006 + 1.39591I
b = 0.205902 + 1.245750I
1.23349 + 2.17322I 0
u = 0.112625 0.728978I
a = 0.73006 1.39591I
b = 0.205902 1.245750I
1.23349 2.17322I 0
u = 0.012300 + 0.716267I
a = 0.68911 1.69349I
b = 0.41999 1.79681I
3.36149 5.01600I 0
u = 0.012300 0.716267I
a = 0.68911 + 1.69349I
b = 0.41999 + 1.79681I
3.36149 + 5.01600I 0
u = 0.611777 + 1.131880I
a = 0.535873 1.270270I
b = 1.36383 0.99408I
0.94559 7.30095I 0
u = 0.611777 1.131880I
a = 0.535873 + 1.270270I
b = 1.36383 + 0.99408I
0.94559 + 7.30095I 0
u = 0.651776 + 1.117950I
a = 0.570116 + 1.125680I
b = 1.23932 + 0.82609I
0.95264 + 3.36395I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.651776 1.117950I
a = 0.570116 1.125680I
b = 1.23932 0.82609I
0.95264 3.36395I 0
u = 1.295940 + 0.030903I
a = 0.063963 + 0.561503I
b = 0.223017 + 1.157010I
6.08074 + 1.25624I 0
u = 1.295940 0.030903I
a = 0.063963 0.561503I
b = 0.223017 1.157010I
6.08074 1.25624I 0
u = 1.094250 + 0.708501I
a = 0.186822 + 1.169910I
b = 0.793730 + 0.204094I
4.38058 + 11.80110I 0
u = 1.094250 0.708501I
a = 0.186822 1.169910I
b = 0.793730 0.204094I
4.38058 11.80110I 0
u = 0.333192 + 1.262880I
a = 0.613897 + 0.950369I
b = 1.055780 + 0.934948I
4.77209 0.29815I 0
u = 0.333192 1.262880I
a = 0.613897 0.950369I
b = 1.055780 0.934948I
4.77209 + 0.29815I 0
u = 1.082110 + 0.763463I
a = 0.171161 + 0.642479I
b = 1.17354 + 0.99192I
4.00669 12.34730I 0
u = 1.082110 0.763463I
a = 0.171161 0.642479I
b = 1.17354 0.99192I
4.00669 + 12.34730I 0
u = 0.220677 + 0.600123I
a = 0.00755 + 2.68929I
b = 0.072745 + 0.822959I
3.13155 + 0.26316I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.220677 0.600123I
a = 0.00755 2.68929I
b = 0.072745 0.822959I
3.13155 0.26316I 0
u = 1.257840 + 0.550767I
a = 0.398887 + 0.486472I
b = 0.675981 0.267111I
1.15286 + 7.04250I 0
u = 1.257840 0.550767I
a = 0.398887 0.486472I
b = 0.675981 + 0.267111I
1.15286 7.04250I 0
u = 1.290170 + 0.501658I
a = 0.219468 0.522462I
b = 0.710149 + 0.135926I
3.84262 2.30352I 0
u = 1.290170 0.501658I
a = 0.219468 + 0.522462I
b = 0.710149 0.135926I
3.84262 + 2.30352I 0
u = 0.799597 + 1.156690I
a = 0.349055 + 0.789079I
b = 0.752699 + 0.785735I
0.19670 + 3.55546I 0
u = 0.799597 1.156690I
a = 0.349055 0.789079I
b = 0.752699 0.785735I
0.19670 3.55546I 0
u = 1.142150 + 0.826984I
a = 0.402222 0.166493I
b = 0.918767 + 0.332474I
1.27049 3.91812I 0
u = 1.142150 0.826984I
a = 0.402222 + 0.166493I
b = 0.918767 0.332474I
1.27049 + 3.91812I 0
u = 0.821463 + 1.148550I
a = 0.315176 + 1.120810I
b = 1.085010 + 0.904450I
1.11595 9.21521I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.821463 1.148550I
a = 0.315176 1.120810I
b = 1.085010 0.904450I
1.11595 + 9.21521I 0
u = 0.553317 + 0.165592I
a = 0.49304 1.40119I
b = 1.069740 + 0.068772I
2.99083 + 2.58429I 0
u = 0.553317 0.165592I
a = 0.49304 + 1.40119I
b = 1.069740 0.068772I
2.99083 2.58429I 0
u = 0.89946 + 1.10401I
a = 0.148590 1.179960I
b = 1.19778 0.90123I
2.24975 + 11.19620I 0
u = 0.89946 1.10401I
a = 0.148590 + 1.179960I
b = 1.19778 + 0.90123I
2.24975 11.19620I 0
u = 0.490609 + 0.296218I
a = 3.62633 2.14313I
b = 0.270436 0.540690I
3.26217 0.63444I 0
u = 0.490609 0.296218I
a = 3.62633 + 2.14313I
b = 0.270436 + 0.540690I
3.26217 + 0.63444I 0
u = 0.181450 + 0.536148I
a = 1.39502 1.57834I
b = 0.708170 0.919987I
0.48097 2.63825I 0
u = 0.181450 0.536148I
a = 1.39502 + 1.57834I
b = 0.708170 + 0.919987I
0.48097 + 2.63825I 0
u = 0.115839 + 0.536849I
a = 0.19472 2.51682I
b = 0.594750 1.248220I
2.23824 1.72680I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.115839 0.536849I
a = 0.19472 + 2.51682I
b = 0.594750 + 1.248220I
2.23824 + 1.72680I 0
u = 0.06203 + 1.45567I
a = 1.213840 + 0.020611I
b = 1.81759 0.06295I
7.31851 + 2.33385I 0
u = 0.06203 1.45567I
a = 1.213840 0.020611I
b = 1.81759 + 0.06295I
7.31851 2.33385I 0
u = 0.220042 + 0.473742I
a = 1.77471 0.54880I
b = 1.171200 + 0.218867I
2.93102 + 2.64801I 0
u = 0.220042 0.473742I
a = 1.77471 + 0.54880I
b = 1.171200 0.218867I
2.93102 2.64801I 0
u = 0.84950 + 1.22225I
a = 0.331990 + 1.028060I
b = 1.32677 + 1.05932I
0.9195 14.4023I 0
u = 0.84950 1.22225I
a = 0.331990 1.028060I
b = 1.32677 1.05932I
0.9195 + 14.4023I 0
u = 1.33065 + 0.69969I
a = 0.221693 0.788381I
b = 0.744855 0.260699I
0.19341 5.63100I 0
u = 1.33065 0.69969I
a = 0.221693 + 0.788381I
b = 0.744855 + 0.260699I
0.19341 + 5.63100I 0
u = 0.94668 + 1.18622I
a = 0.201048 + 0.829241I
b = 1.000920 + 0.806937I
8.80636 + 10.58140I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.94668 1.18622I
a = 0.201048 0.829241I
b = 1.000920 0.806937I
8.80636 10.58140I 0
u = 0.88670 + 1.24539I
a = 0.307547 0.936198I
b = 1.29343 0.90713I
1.65262 + 9.92613I 0
u = 0.88670 1.24539I
a = 0.307547 + 0.936198I
b = 1.29343 + 0.90713I
1.65262 9.92613I 0
u = 1.34671 + 0.73433I
a = 0.118527 0.564655I
b = 0.899901 0.826656I
0.42207 + 5.47200I 0
u = 1.34671 0.73433I
a = 0.118527 + 0.564655I
b = 0.899901 + 0.826656I
0.42207 5.47200I 0
u = 0.99265 + 1.17806I
a = 0.007176 + 0.833472I
b = 1.031860 + 0.865244I
4.65365 8.62326I 0
u = 0.99265 1.17806I
a = 0.007176 0.833472I
b = 1.031860 0.865244I
4.65365 + 8.62326I 0
u = 0.084456 + 0.424516I
a = 1.17976 + 1.12873I
b = 1.63890 + 1.36770I
7.56176 + 2.94115I 14.6857 8.9067I
u = 0.084456 0.424516I
a = 1.17976 1.12873I
b = 1.63890 1.36770I
7.56176 2.94115I 14.6857 + 8.9067I
u = 0.92408 + 1.26703I
a = 0.227806 0.831645I
b = 0.694121 1.102820I
9.7940 + 11.2351I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.92408 1.26703I
a = 0.227806 + 0.831645I
b = 0.694121 + 1.102820I
9.7940 11.2351I 0
u = 0.98954 + 1.22074I
a = 0.112589 0.447020I
b = 0.363005 0.715653I
4.32237 0.26233I 0
u = 0.98954 1.22074I
a = 0.112589 + 0.447020I
b = 0.363005 + 0.715653I
4.32237 + 0.26233I 0
u = 0.038001 + 0.418790I
a = 1.164310 0.181216I
b = 0.095035 + 0.391095I
0.248346 + 1.213100I 2.72388 5.69548I
u = 0.038001 0.418790I
a = 1.164310 + 0.181216I
b = 0.095035 0.391095I
0.248346 1.213100I 2.72388 + 5.69548I
u = 0.096090 + 0.388968I
a = 2.38192 3.55111I
b = 0.659082 0.663307I
2.62062 1.41430I 3.94478 + 0.06865I
u = 0.096090 0.388968I
a = 2.38192 + 3.55111I
b = 0.659082 + 0.663307I
2.62062 + 1.41430I 3.94478 0.06865I
u = 0.263583 + 0.280572I
a = 2.82561 + 6.35307I
b = 0.009472 + 0.412114I
3.14177 + 0.40281I 27.0293 + 9.6281I
u = 0.263583 0.280572I
a = 2.82561 6.35307I
b = 0.009472 0.412114I
3.14177 0.40281I 27.0293 9.6281I
u = 1.11794 + 1.18101I
a = 0.050544 0.516327I
b = 1.028840 0.529730I
1.61093 + 4.97787I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.11794 1.18101I
a = 0.050544 + 0.516327I
b = 1.028840 + 0.529730I
1.61093 4.97787I 0
u = 0.139179 + 0.345188I
a = 0.53055 + 2.94483I
b = 0.870351 + 0.998346I
4.61565 + 4.21154I 2.55330 4.71575I
u = 0.139179 0.345188I
a = 0.53055 2.94483I
b = 0.870351 0.998346I
4.61565 4.21154I 2.55330 + 4.71575I
u = 0.95960 + 1.33335I
a = 0.281181 + 0.951718I
b = 1.30109 + 0.97142I
7.3576 + 20.6882I 0
u = 0.95960 1.33335I
a = 0.281181 0.951718I
b = 1.30109 0.97142I
7.3576 20.6882I 0
u = 1.30144 + 1.03418I
a = 0.066747 0.653122I
b = 0.563203 0.516373I
0.12223 5.28114I 0
u = 1.30144 1.03418I
a = 0.066747 + 0.653122I
b = 0.563203 + 0.516373I
0.12223 + 5.28114I 0
u = 1.66422
a = 0.146634
b = 0.481038
2.61283 0
u = 0.290060 + 0.143251I
a = 0.491330 + 0.094407I
b = 0.93760 1.75627I
5.02541 3.67449I 12.1116 + 13.0351I
u = 0.290060 0.143251I
a = 0.491330 0.094407I
b = 0.93760 + 1.75627I
5.02541 + 3.67449I 12.1116 13.0351I
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.99799 + 1.37897I
a = 0.284600 0.861481I
b = 1.23348 0.88214I
3.4160 14.0358I 0
u = 0.99799 1.37897I
a = 0.284600 + 0.861481I
b = 1.23348 + 0.88214I
3.4160 + 14.0358I 0
u = 1.08748 + 1.31772I
a = 0.157623 + 0.795555I
b = 1.019010 + 0.904028I
9.46636 + 7.92017I 0
u = 1.08748 1.31772I
a = 0.157623 0.795555I
b = 1.019010 0.904028I
9.46636 7.92017I 0
u = 0.70961 + 1.56919I
a = 0.150522 0.492393I
b = 0.668814 0.615224I
9.90210 + 3.10349I 0
u = 0.70961 1.56919I
a = 0.150522 + 0.492393I
b = 0.668814 + 0.615224I
9.90210 3.10349I 0
u = 0.91677 + 1.46292I
a = 0.055923 0.611296I
b = 1.125320 0.588167I
3.86507 5.01540I 0
u = 0.91677 1.46292I
a = 0.055923 + 0.611296I
b = 1.125320 + 0.588167I
3.86507 + 5.01540I 0
u = 1.67614 + 0.43217I
a = 0.224532 + 0.338491I
b = 0.717375 0.248405I
4.72266 11.98590I 0
u = 1.67614 0.43217I
a = 0.224532 0.338491I
b = 0.717375 + 0.248405I
4.72266 + 11.98590I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.82719 + 0.24069I
a = 0.106346 0.335872I
b = 0.681520 + 0.068443I
0.37425 + 4.81592I 0
u = 1.82719 0.24069I
a = 0.106346 + 0.335872I
b = 0.681520 0.068443I
0.37425 4.81592I 0
u = 0.99249 + 1.56960I
a = 0.365273 + 0.569703I
b = 0.585277 + 0.714740I
3.35832 5.80503I 0
u = 0.99249 1.56960I
a = 0.365273 0.569703I
b = 0.585277 0.714740I
3.35832 + 5.80503I 0
u = 1.64072 + 1.00134I
a = 0.053417 0.408403I
b = 0.012520 0.699900I
7.31376 2.39241I 0
u = 1.64072 1.00134I
a = 0.053417 + 0.408403I
b = 0.012520 + 0.699900I
7.31376 + 2.39241I 0
u = 1.55257 + 1.28589I
a = 0.211675 + 0.275367I
b = 0.752719 + 0.325935I
8.13598 2.08507I 0
u = 1.55257 1.28589I
a = 0.211675 0.275367I
b = 0.752719 0.325935I
8.13598 + 2.08507I 0
u = 0.64807 + 1.96275I
a = 0.1032820 0.0053284I
b = 1.103900 0.042111I
7.35260 3.85233I 0
u = 0.64807 1.96275I
a = 0.1032820 + 0.0053284I
b = 1.103900 + 0.042111I
7.35260 + 3.85233I 0
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.73668 + 1.97286I
a = 0.477194 + 0.155210I
b = 0.225351 0.089631I
6.59783 + 4.29179I 0
u = 0.73668 1.97286I
a = 0.477194 0.155210I
b = 0.225351 + 0.089631I
6.59783 4.29179I 0
u = 2.10417 + 0.08907I
a = 0.008352 + 0.242377I
b = 0.348991 + 0.091544I
6.92257 + 2.06689I 0
u = 2.10417 0.08907I
a = 0.008352 0.242377I
b = 0.348991 0.091544I
6.92257 2.06689I 0
22
II. I
u
2
=
h2.20×10
92
u
42
+4.98×10
91
u
41
+· · ·+3.59×10
92
b+1.34×10
93
, 4.88×10
93
u
42
+
1.67 × 10
92
u
41
+ · · · + 8.98 × 10
93
a + 8.07 × 10
94
, u
43
+ 3u
40
+ · · · + 29u 5i
(i) Arc colorings
a
5
=
0
u
a
12
=
1
0
a
1
=
1
u
2
a
9
=
0.543241u
42
0.0186376u
41
+ ··· + 35.8005u 8.98547
0.611364u
42
0.138673u
41
+ ··· + 24.3011u 3.72841
a
10
=
0.00954061u
42
+ 0.0531113u
41
+ ··· + 13.6751u 5.16387
0.516413u
42
0.0766073u
41
+ ··· + 23.7133u 4.08716
a
4
=
0.779644u
42
0.629478u
41
+ ··· + 12.3398u + 2.98557
0.422298u
42
0.304567u
41
+ ··· + 3.94325u + 3.11848
a
2
=
0.637196u
42
0.837805u
41
+ ··· 2.87160u + 2.33016
0.533736u
42
0.174525u
41
+ ··· + 33.3300u 6.53224
a
3
=
1.15920u
42
0.790623u
41
+ ··· + 24.4131u + 0.451391
0.784602u
42
0.212634u
41
+ ··· + 46.1295u 4.24119
a
8
=
0.0681224u
42
+ 0.120035u
41
+ ··· + 11.4994u 5.25706
0.611364u
42
0.138673u
41
+ ··· + 24.3011u 3.72841
a
6
=
0.0346612u
42
0.289104u
41
+ ··· 15.5687u + 3.34954
0.322685u
42
0.0358064u
41
+ ··· + 25.9652u 3.48245
a
11
=
0.854800u
42
0.0394659u
41
+ ··· + 43.5500u 5.14552
0.165268u
42
0.212244u
41
+ ··· 35.5649u + 7.98029
a
7
=
0.473309u
42
0.989039u
41
+ ··· 32.1000u + 5.80277
0.516302u
42
+ 0.0447521u
41
+ ··· + 49.5329u 10.8970
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.528983u
42
2.91631u
41
+ ··· 269.467u + 67.1743
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
5(5u
43
49u
42
+ ··· 10u 1)
c
2
u
43
+ u
42
+ ··· + 3u 1
c
3
u
43
+ 18u
41
+ ··· 2u + 1
c
4
5(5u
43
u
42
+ ··· u 1)
c
5
5(5u
43
+ 19u
42
+ ··· + 2u 1)
c
6
u
43
u
42
+ ··· + 3u + 1
c
7
5(5u
43
28u
42
+ ··· + 96u 23)
c
8
u
43
5u
42
+ ··· + 33u + 5
c
9
u
43
2u
42
+ ··· + 7u 1
c
10
u
43
+ 18u
41
+ ··· 2u 1
c
11
u
43
3u
41
+ ··· + 24u 7
c
12
u
43
+ 3u
40
+ ··· + 29u 5
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
25(25y
43
431y
42
+ ··· + 12y 1)
c
2
, c
6
y
43
25y
42
+ ··· + 27y 1
c
3
, c
10
y
43
+ 36y
42
+ ··· + 16y 1
c
4
25(25y
43
+ 9y
42
+ ··· 49y 1)
c
5
25(25y
43
+ 9y
42
+ ··· 42y 1)
c
7
25(25y
43
14y
42
+ ··· 5458y 529)
c
8
y
43
7y
42
+ ··· + 799y 25
c
9
y
43
2y
42
+ ··· + 3y 1
c
11
y
43
6y
42
+ ··· + 86y 49
c
12
y
43
4y
41
+ ··· 429y 25
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.556790 + 0.776040I
a = 0.27205 + 1.43734I
b = 0.82049 + 1.54065I
2.39854 + 6.39263I 5.3128 13.2800I
u = 0.556790 0.776040I
a = 0.27205 1.43734I
b = 0.82049 1.54065I
2.39854 6.39263I 5.3128 + 13.2800I
u = 0.694928 + 0.839495I
a = 0.168950 0.612752I
b = 1.24058 0.70850I
1.51294 4.14357I 0.90402 + 6.48166I
u = 0.694928 0.839495I
a = 0.168950 + 0.612752I
b = 1.24058 + 0.70850I
1.51294 + 4.14357I 0.90402 6.48166I
u = 0.791731 + 0.797854I
a = 0.186496 + 0.103236I
b = 1.27464 + 0.67328I
7.03451 + 2.27388I 5.91863 0.71785I
u = 0.791731 0.797854I
a = 0.186496 0.103236I
b = 1.27464 0.67328I
7.03451 2.27388I 5.91863 + 0.71785I
u = 0.202011 + 0.850604I
a = 1.52918 + 0.01638I
b = 0.928828 + 0.407229I
0.253606 + 1.357090I 3.61437 3.84354I
u = 0.202011 0.850604I
a = 1.52918 0.01638I
b = 0.928828 0.407229I
0.253606 1.357090I 3.61437 + 3.84354I
u = 0.476699 + 1.045770I
a = 0.54008 1.47117I
b = 1.46667 1.38739I
0.75963 4.74920I 4.22142 + 13.19281I
u = 0.476699 1.045770I
a = 0.54008 + 1.47117I
b = 1.46667 + 1.38739I
0.75963 + 4.74920I 4.22142 13.19281I
28
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.166080 + 0.418612I
a = 0.321377 0.409252I
b = 0.881302 + 0.050258I
1.23924 3.22977I 1.48899 + 5.43305I
u = 1.166080 0.418612I
a = 0.321377 + 0.409252I
b = 0.881302 0.050258I
1.23924 + 3.22977I 1.48899 5.43305I
u = 0.169422 + 0.713839I
a = 0.08334 + 1.76046I
b = 0.38958 + 1.44126I
2.67871 + 2.16540I 10.97156 6.34483I
u = 0.169422 0.713839I
a = 0.08334 1.76046I
b = 0.38958 1.44126I
2.67871 2.16540I 10.97156 + 6.34483I
u = 0.204579 + 1.320380I
a = 0.249412 + 0.114511I
b = 0.666163 0.156047I
9.97890 1.49978I 11.46097 + 0.I
u = 0.204579 1.320380I
a = 0.249412 0.114511I
b = 0.666163 + 0.156047I
9.97890 + 1.49978I 11.46097 + 0.I
u = 0.657060 + 0.014753I
a = 0.43157 + 1.65827I
b = 0.714383 0.074558I
1.21426 1.58784I 2.79726 + 4.34298I
u = 0.657060 0.014753I
a = 0.43157 1.65827I
b = 0.714383 + 0.074558I
1.21426 + 1.58784I 2.79726 4.34298I
u = 1.157590 + 0.683990I
a = 0.385524 + 0.766848I
b = 0.667169 + 0.869664I
6.67019 12.32510I 6.76858 + 9.83023I
u = 1.157590 0.683990I
a = 0.385524 0.766848I
b = 0.667169 0.869664I
6.67019 + 12.32510I 6.76858 9.83023I
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.470420 + 0.363487I
a = 0.36973 + 3.05300I
b = 0.201207 0.118286I
2.89072 0.40354I 0.39400 1.91239I
u = 0.470420 0.363487I
a = 0.36973 3.05300I
b = 0.201207 + 0.118286I
2.89072 + 0.40354I 0.39400 + 1.91239I
u = 0.323574 + 0.486748I
a = 1.27447 3.56315I
b = 0.086520 0.790804I
2.09872 0.41471I 3.81177 3.99106I
u = 0.323574 0.486748I
a = 1.27447 + 3.56315I
b = 0.086520 + 0.790804I
2.09872 + 0.41471I 3.81177 + 3.99106I
u = 1.05892 + 0.94539I
a = 0.106465 0.655573I
b = 0.974372 0.679342I
1.76068 4.34655I 0
u = 1.05892 0.94539I
a = 0.106465 + 0.655573I
b = 0.974372 + 0.679342I
1.76068 + 4.34655I 0
u = 0.84515 + 1.16341I
a = 0.258390 1.123220I
b = 1.19377 0.93952I
0.69384 + 10.26020I 0
u = 0.84515 1.16341I
a = 0.258390 + 1.123220I
b = 1.19377 + 0.93952I
0.69384 10.26020I 0
u = 0.87080 + 1.18725I
a = 0.302680 + 0.773077I
b = 0.516809 + 0.798885I
0.69829 + 4.85061I 0
u = 0.87080 1.18725I
a = 0.302680 0.773077I
b = 0.516809 0.798885I
0.69829 4.85061I 0
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.48213
a = 0.416704
b = 0.459569
2.80542 27.7530
u = 0.51270 + 1.45587I
a = 0.657613 0.417530I
b = 0.888098 0.609756I
6.27957 3.52135I 0
u = 0.51270 1.45587I
a = 0.657613 + 0.417530I
b = 0.888098 + 0.609756I
6.27957 + 3.52135I 0
u = 0.37621 + 1.51368I
a = 0.629667 + 0.492125I
b = 1.40125 + 0.25678I
6.71145 + 3.05035I 0
u = 0.37621 1.51368I
a = 0.629667 0.492125I
b = 1.40125 0.25678I
6.71145 3.05035I 0
u = 0.125402 + 0.408333I
a = 0.290471 1.159820I
b = 1.06357 1.77406I
5.21691 3.60350I 25.3910 0.5733I
u = 0.125402 0.408333I
a = 0.290471 + 1.159820I
b = 1.06357 + 1.77406I
5.21691 + 3.60350I 25.3910 + 0.5733I
u = 0.219767 + 0.290534I
a = 2.13576 1.01100I
b = 1.41637 + 0.04367I
1.94432 3.01981I 0.44739 + 4.73880I
u = 0.219767 0.290534I
a = 2.13576 + 1.01100I
b = 1.41637 0.04367I
1.94432 + 3.01981I 0.44739 4.73880I
u = 1.63462 + 0.77300I
a = 0.126829 0.490818I
b = 0.661340 0.499457I
1.23774 + 5.75062I 0
31
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.63462 0.77300I
a = 0.126829 + 0.490818I
b = 0.661340 + 0.499457I
1.23774 5.75062I 0
u = 2.01605 + 0.41307I
a = 0.032427 + 0.265234I
b = 0.335677 + 0.411678I
7.10237 + 1.72470I 0
u = 2.01605 0.41307I
a = 0.032427 0.265234I
b = 0.335677 0.411678I
7.10237 1.72470I 0
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
25(5u
43
49u
42
+ ··· 10u 1)
· (5u
174
56u
173
+ ··· 31908u + 1387)
c
2
(u
43
+ u
42
+ ··· + 3u 1)(u
174
2u
173
+ ··· + 4042765u + 913579)
c
3
(u
43
+ 18u
41
+ ··· 2u + 1)(u
174
+ u
173
+ ··· + 131340u + 6023)
c
4
25(5u
43
u
42
+ ··· u 1)(5u
174
+ 26u
173
+ ··· + 20363u + 1637)
c
5
25(5u
43
+ 19u
42
+ ··· + 2u 1)
· (5u
174
+ 86u
173
+ ··· + 895002u + 151163)
c
6
(u
43
u
42
+ ··· + 3u + 1)(u
174
2u
173
+ ··· + 4042765u + 913579)
c
7
25(5u
43
28u
42
+ ··· + 96u 23)
· (5u
174
+ 43u
173
+ ··· 4706126254u 370127167)
c
8
(u
43
5u
42
+ ··· + 33u + 5)(u
174
+ 4u
173
+ ··· 49199u + 15565)
c
9
(u
43
2u
42
+ ··· + 7u 1)(u
174
+ 5u
173
+ ··· 1040129u 102703)
c
10
(u
43
+ 18u
41
+ ··· 2u 1)(u
174
+ u
173
+ ··· + 131340u + 6023)
c
11
(u
43
3u
41
+ ··· + 24u 7)(u
174
u
173
+ ··· + 18522u + 2029)
c
12
(u
43
+ 3u
40
+ ··· + 29u 5)(u
174
5u
173
+ ··· + 99447u + 22265)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
625(25y
43
431y
42
+ ··· + 12y 1)
· (25y
174
1136y
173
+ ··· 88028778y + 1923769)
c
2
, c
6
(y
43
25y
42
+ ··· + 27y 1)
· (y
174
114y
173
+ ··· 29118856544981y + 834626589241)
c
3
, c
10
(y
43
+ 36y
42
+ ··· + 16y 1)
· (y
174
+ 147y
173
+ ··· + 21193565398y + 36276529)
c
4
625(25y
43
+ 9y
42
+ ··· 49y 1)
· (25y
174
+ 4y
173
+ ··· + 113562295y + 2679769)
c
5
625(25y
43
+ 9y
42
+ ··· 42y 1)
· (25y
174
+ 304y
173
+ ··· 427926854100y + 22850252569)
c
7
625(25y
43
14y
42
+ ··· 5458y 529)
· (25y
174
1259y
173
+ ··· 8.00 × 10
18
y + 1.37 × 10
17
)
c
8
(y
43
7y
42
+ ··· + 799y 25)
· (y
174
28y
173
+ ··· 20350176401y + 242269225)
c
9
(y
43
2y
42
+ ··· + 3y 1)
· (y
174
39y
173
+ ··· 2659529379217y + 10547906209)
c
11
(y
43
6y
42
+ ··· + 86y 49)
· (y
174
+ y
173
+ ··· + 126543508y + 4116841)
c
12
(y
43
4y
41
+ ··· 429y 25)
· (y
174
+ 27y
173
+ ··· + 39776918751y + 495730225)
34