12a
1099
(K12a
1099
)
A knot diagram
1
Linearized knot diagam
4 7 11 9 10 12 3 1 5 2 8 6
Solving Sequence
4,9
5 10
2,6
11 1 3 8 7 12
c
4
c
9
c
5
c
10
c
1
c
3
c
8
c
7
c
12
c
2
, c
6
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h7.06785 × 10
400
u
139
− 6.39249 × 10
400
u
138
+ ··· + 5.00007 × 10
401
b − 3.90002 × 10
402
,
3.38612 × 10
403
u
139
− 2.31085 × 10
403
u
138
+ ··· + 2.35003 × 10
403
a − 1.04980 × 10
405
,
u
140
− 2u
139
+ ··· − 246u + 47i
I
u
2
= h−127505400578u
31
− 68289128546u
30
+ ··· + 7817930129b + 241878697278,
395700422218u
31
+ 217822084997u
30
+ ··· + 7817930129a − 830847543053,
u
32
+ u
31
+ ··· − 4u − 1i
* 2 irreducible components of dim
C
= 0, with total 172 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
= h7.07 × 10
400
u
139
− 6.39 × 10
400
u
138
+ · · · + 5.00 × 10
401
b − 3.90 ×
10
402
, 3.39 × 10
403
u
139
− 2.31 × 10
403
u
138
+ · · · + 2.35 × 10
403
a − 1.05 ×
10
405
, u
140
− 2u
139
+ · · · − 246u + 47i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
5
=
1
−u
2
a
10
=
u
−u
3
+ u
a
2
=
−1.44088u
139
+ 0.983325u
138
+ ··· − 188.804u + 44.6719
−0.141355u
139
+ 0.127848u
138
+ ··· − 35.9278u + 7.79995
a
6
=
−u
2
+ 1
u
4
− 2u
2
a
11
=
0.252221u
139
− 0.0372281u
138
+ ··· + 55.2224u − 14.9395
−0.708542u
139
+ 0.533693u
138
+ ··· − 129.532u + 28.6376
a
1
=
−1.58224u
139
+ 1.11117u
138
+ ··· − 224.732u + 52.4718
−0.141355u
139
+ 0.127848u
138
+ ··· − 35.9278u + 7.79995
a
3
=
−1.39386u
139
+ 1.08276u
138
+ ··· − 289.087u + 57.6497
−0.368782u
139
+ 0.167318u
138
+ ··· − 50.8918u + 14.4164
a
8
=
0.639687u
139
− 0.546845u
138
+ ··· + 104.172u − 29.0524
0.546644u
139
− 0.394692u
138
+ ··· + 89.2529u − 20.5778
a
7
=
0.431121u
139
− 0.397893u
138
+ ··· + 23.7312u − 14.0691
0.295541u
139
− 0.164193u
138
+ ··· + 69.0106u − 12.1486
a
12
=
−2.16500u
139
+ 1.50927u
138
+ ··· − 300.819u + 69.7943
−0.541777u
139
+ 0.389400u
138
+ ··· − 99.1346u + 21.8711
(ii) Obstruction class = −1
(iii) Cusp Shapes = 2.64192u
139
+ 5.61201u
138
+ ··· + 1506.14u − 276.960
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
140
− 21u
139
+ ··· + 2161255u − 89729
c
2
, c
7
u
140
− 38u
138
+ ··· + 756u + 328
c
3
u
140
− 13u
139
+ ··· − 20208u − 28951
c
4
, c
5
, c
9
u
140
+ 2u
139
+ ··· + 246u + 47
c
6
, c
12
u
140
+ 15u
139
+ ··· − 2958456u − 205039
c
8
u
140
− 7u
138
+ ··· + 704512u − 32768
c
10
u
140
+ 3u
139
+ ··· − 58207u + 11101
c
11
u
140
− 3u
139
+ ··· − 560200u + 26759
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
140
− 125y
139
+ ··· − 1146758776985y + 8051293441
c
2
, c
7
y
140
− 76y
139
+ ··· + 1115696y + 107584
c
3
y
140
− 103y
139
+ ··· + 8409358610y + 838160401
c
4
, c
5
, c
9
y
140
− 134y
139
+ ··· + 115264y + 2209
c
6
, c
12
y
140
− 59y
139
+ ··· − 696264713064y + 42040991521
c
8
y
140
− 14y
139
+ ··· − 53955526656y + 1073741824
c
10
y
140
+ 23y
139
+ ··· + 11979925329y + 123232201
c
11
y
140
− 3y
139
+ ··· − 121398626014y + 716044081
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.764566 + 0.614742I
a = −0.756728 + 0.022065I
b = 0.561216 + 0.948751I
−1.62052 − 3.93639I 0
u = 0.764566 − 0.614742I
a = −0.756728 − 0.022065I
b = 0.561216 − 0.948751I
−1.62052 + 3.93639I 0
u = −0.431965 + 0.875823I
a = −0.567012 + 0.569864I
b = −0.80451 − 1.18902I
0.4399 − 14.9244I 0
u = −0.431965 − 0.875823I
a = −0.567012 − 0.569864I
b = −0.80451 + 1.18902I
0.4399 + 14.9244I 0
u = 0.748211 + 0.619046I
a = −0.069259 + 0.194608I
b = 0.020130 − 0.624154I
−2.14756 + 1.54813I 0
u = 0.748211 − 0.619046I
a = −0.069259 − 0.194608I
b = 0.020130 + 0.624154I
−2.14756 − 1.54813I 0
u = −0.385614 + 0.889127I
a = 0.265965 − 0.185434I
b = 0.692995 + 0.734154I
−2.27888 − 6.29135I 0
u = −0.385614 − 0.889127I
a = 0.265965 + 0.185434I
b = 0.692995 − 0.734154I
−2.27888 + 6.29135I 0
u = −0.872790 + 0.332482I
a = 1.00532 − 1.77676I
b = −0.066478 + 0.837529I
1.06995 − 5.54401I 0
u = −0.872790 − 0.332482I
a = 1.00532 + 1.77676I
b = −0.066478 − 0.837529I
1.06995 + 5.54401I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.397365 + 0.994680I
a = 0.317125 − 0.475278I
b = 0.438700 + 0.899027I
−1.49936 − 1.78215I 0
u = −0.397365 − 0.994680I
a = 0.317125 + 0.475278I
b = 0.438700 − 0.899027I
−1.49936 + 1.78215I 0
u = −1.091370 + 0.003543I
a = 0.64232 − 2.27277I
b = −0.412729 + 1.020960I
0.98230 − 5.42919I 0
u = −1.091370 − 0.003543I
a = 0.64232 + 2.27277I
b = −0.412729 − 1.020960I
0.98230 + 5.42919I 0
u = −0.796420 + 0.757647I
a = 0.717716 − 0.118631I
b = −0.540809 + 0.975006I
1.48351 + 9.39648I 0
u = −0.796420 − 0.757647I
a = 0.717716 + 0.118631I
b = −0.540809 − 0.975006I
1.48351 − 9.39648I 0
u = 0.386379 + 0.809868I
a = 0.718170 + 0.487645I
b = 0.84954 − 1.16927I
−2.78464 + 8.86131I 0
u = 0.386379 − 0.809868I
a = 0.718170 − 0.487645I
b = 0.84954 + 1.16927I
−2.78464 − 8.86131I 0
u = 0.451839 + 0.768766I
a = 0.733814 − 0.329894I
b = −0.375611 − 0.772483I
4.23064 − 4.11996I 0
u = 0.451839 − 0.768766I
a = 0.733814 + 0.329894I
b = −0.375611 + 0.772483I
4.23064 + 4.11996I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.348614 + 0.819747I
a = −0.543806 + 0.001917I
b = −0.531445 + 0.573523I
−3.49569 + 2.90609I 0
u = 0.348614 − 0.819747I
a = −0.543806 − 0.001917I
b = −0.531445 − 0.573523I
−3.49569 − 2.90609I 0
u = 0.603418 + 0.931812I
a = −0.523541 − 0.679699I
b = −0.323025 + 0.839203I
−2.23852 + 3.92584I 0
u = 0.603418 − 0.931812I
a = −0.523541 + 0.679699I
b = −0.323025 − 0.839203I
−2.23852 − 3.92584I 0
u = 0.538014 + 0.657591I
a = −0.391201 − 0.633565I
b = −0.811753 + 1.129150I
4.61934 + 8.79138I 0
u = 0.538014 − 0.657591I
a = −0.391201 + 0.633565I
b = −0.811753 − 1.129150I
4.61934 − 8.79138I 0
u = −0.950578 + 0.670745I
a = −0.520489 − 0.073063I
b = 0.269700 − 0.464774I
−0.681700 + 0.808459I 0
u = −0.950578 − 0.670745I
a = −0.520489 + 0.073063I
b = 0.269700 + 0.464774I
−0.681700 − 0.808459I 0
u = 1.047160 + 0.565711I
a = 0.256201 − 0.298067I
b = −0.083631 − 0.301076I
−1.55723 + 2.03234I 0
u = 1.047160 − 0.565711I
a = 0.256201 + 0.298067I
b = −0.083631 + 0.301076I
−1.55723 − 2.03234I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.279868 + 0.755036I
a = −0.162116 + 0.680090I
b = 0.016582 − 0.775610I
−2.64349 + 1.62206I 0
u = 0.279868 − 0.755036I
a = −0.162116 − 0.680090I
b = 0.016582 + 0.775610I
−2.64349 − 1.62206I 0
u = −0.436730 + 0.676016I
a = 0.404832 + 0.072224I
b = −0.478380 + 0.922591I
3.21215 + 0.02456I 0
u = −0.436730 − 0.676016I
a = 0.404832 − 0.072224I
b = −0.478380 − 0.922591I
3.21215 − 0.02456I 0
u = −0.481262 + 0.639159I
a = −0.977521 + 0.849117I
b = −0.773411 − 0.984020I
3.37238 − 4.31522I 0
u = −0.481262 − 0.639159I
a = −0.977521 − 0.849117I
b = −0.773411 + 0.984020I
3.37238 + 4.31522I 0
u = 0.066046 + 0.767552I
a = 0.146789 − 0.658664I
b = −0.223685 − 1.190650I
3.03651 + 2.65423I 0
u = 0.066046 − 0.767552I
a = 0.146789 + 0.658664I
b = −0.223685 + 1.190650I
3.03651 − 2.65423I 0
u = −0.391185 + 0.637606I
a = 0.510723 − 0.429035I
b = 0.701051 + 1.138780I
0.96317 − 4.21896I 0
u = −0.391185 − 0.637606I
a = 0.510723 + 0.429035I
b = 0.701051 − 1.138780I
0.96317 + 4.21896I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.257810 + 0.081376I
a = −0.677773 − 0.321111I
b = 1.349230 + 0.188313I
0.701958 + 0.447720I 0
u = 1.257810 − 0.081376I
a = −0.677773 + 0.321111I
b = 1.349230 − 0.188313I
0.701958 − 0.447720I 0
u = 1.263030 + 0.052168I
a = −0.57658 + 2.47427I
b = 0.81227 − 1.21735I
−1.242620 + 0.290981I 0
u = 1.263030 − 0.052168I
a = −0.57658 − 2.47427I
b = 0.81227 + 1.21735I
−1.242620 − 0.290981I 0
u = −0.507338 + 0.521785I
a = −1.069500 − 0.234591I
b = 0.210183 − 0.681237I
1.42544 + 0.30768I 0
u = −0.507338 − 0.521785I
a = −1.069500 + 0.234591I
b = 0.210183 + 0.681237I
1.42544 − 0.30768I 0
u = −0.969318 + 0.831620I
a = −0.256798 + 0.416270I
b = 0.130461 − 0.698507I
0.07440 − 4.47593I 0
u = −0.969318 − 0.831620I
a = −0.256798 − 0.416270I
b = 0.130461 + 0.698507I
0.07440 + 4.47593I 0
u = 1.279260 + 0.024096I
a = −0.22700 + 2.22513I
b = 0.604032 − 0.268504I
−0.92594 + 1.07464I 0
u = 1.279260 − 0.024096I
a = −0.22700 − 2.22513I
b = 0.604032 + 0.268504I
−0.92594 − 1.07464I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.320120 + 0.090882I
a = −0.155927 + 0.038910I
b = −1.142330 − 0.451766I
3.77848 − 5.09955I 0
u = 1.320120 − 0.090882I
a = −0.155927 − 0.038910I
b = −1.142330 + 0.451766I
3.77848 + 5.09955I 0
u = −0.472341 + 0.468574I
a = −0.33361 + 1.65744I
b = −0.670970 − 0.552153I
1.97267 − 4.24937I 6.00000 + 7.16583I
u = −0.472341 − 0.468574I
a = −0.33361 − 1.65744I
b = −0.670970 + 0.552153I
1.97267 + 4.24937I 6.00000 − 7.16583I
u = −1.336380 + 0.158812I
a = −1.42034 − 0.10646I
b = 1.74467 − 0.38800I
0.16043 − 3.77212I 0
u = −1.336380 − 0.158812I
a = −1.42034 + 0.10646I
b = 1.74467 + 0.38800I
0.16043 + 3.77212I 0
u = −1.346910 + 0.063646I
a = −0.01946 − 1.98770I
b = −0.53563 + 1.48218I
3.81519 − 0.25414I 0
u = −1.346910 − 0.063646I
a = −0.01946 + 1.98770I
b = −0.53563 − 1.48218I
3.81519 + 0.25414I 0
u = −1.347250 + 0.191464I
a = −0.094366 − 0.867896I
b = −0.490159 + 0.321923I
2.07131 − 4.72897I 0
u = −1.347250 − 0.191464I
a = −0.094366 + 0.867896I
b = −0.490159 − 0.321923I
2.07131 + 4.72897I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.359690 + 0.078460I
a = 0.86928 + 2.66862I
b = −0.290907 − 0.569845I
3.90020 − 7.95012I 0
u = −1.359690 − 0.078460I
a = 0.86928 − 2.66862I
b = −0.290907 + 0.569845I
3.90020 + 7.95012I 0
u = −1.355630 + 0.176096I
a = −0.529593 + 0.026211I
b = −0.723194 − 0.233373I
1.81190 − 4.96064I 0
u = −1.355630 − 0.176096I
a = −0.529593 − 0.026211I
b = −0.723194 + 0.233373I
1.81190 + 4.96064I 0
u = 1.339880 + 0.281207I
a = −0.69407 − 1.23583I
b = −0.488787 + 1.290510I
7.09309 + 1.02561I 0
u = 1.339880 − 0.281207I
a = −0.69407 + 1.23583I
b = −0.488787 − 1.290510I
7.09309 − 1.02561I 0
u = 1.359790 + 0.171264I
a = 1.42442 − 0.00042I
b = −1.86850 − 0.34319I
3.25813 + 10.26040I 0
u = 1.359790 − 0.171264I
a = 1.42442 + 0.00042I
b = −1.86850 + 0.34319I
3.25813 − 10.26040I 0
u = 1.38509
a = 1.14888
b = −1.40322
7.30543 0
u = −1.378500 + 0.143156I
a = −0.144143 − 1.051790I
b = 1.338770 + 0.137984I
0.90003 − 2.22784I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.378500 − 0.143156I
a = −0.144143 + 1.051790I
b = 1.338770 − 0.137984I
0.90003 + 2.22784I 0
u = 0.230122 + 0.568325I
a = −1.43842 + 0.89829I
b = −0.228377 + 0.315269I
−3.11970 + 2.28316I 1.95287 − 6.52139I
u = 0.230122 − 0.568325I
a = −1.43842 − 0.89829I
b = −0.228377 − 0.315269I
−3.11970 − 2.28316I 1.95287 + 6.52139I
u = 1.386520 + 0.073921I
a = −0.14246 − 2.26955I
b = 0.64292 + 1.68346I
4.19198 + 1.85686I 0
u = 1.386520 − 0.073921I
a = −0.14246 + 2.26955I
b = 0.64292 − 1.68346I
4.19198 − 1.85686I 0
u = −1.39653
a = 13.0075
b = −13.0839
4.90136 0
u = 0.101041 + 0.592095I
a = 0.048183 + 1.296400I
b = 0.436184 − 0.371969I
−2.56464 + 1.85484I 1.59174 − 3.78732I
u = 0.101041 − 0.592095I
a = 0.048183 − 1.296400I
b = 0.436184 + 0.371969I
−2.56464 − 1.85484I 1.59174 + 3.78732I
u = −1.38084 + 0.34956I
a = 0.976152 − 1.005330I
b = 0.096352 + 1.305290I
7.68062 − 6.77804I 0
u = −1.38084 − 0.34956I
a = 0.976152 + 1.005330I
b = 0.096352 − 1.305290I
7.68062 + 6.77804I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.158680 + 0.535677I
a = −0.684704 − 0.545926I
b = −1.285490 + 0.580709I
−1.55020 − 7.72919I 1.98089 + 8.14294I
u = −0.158680 − 0.535677I
a = −0.684704 + 0.545926I
b = −1.285490 − 0.580709I
−1.55020 + 7.72919I 1.98089 − 8.14294I
u = −1.43505 + 0.15163I
a = −0.02408 + 2.39084I
b = −0.83324 − 1.77851I
10.40160 − 1.60147I 0
u = −1.43505 − 0.15163I
a = −0.02408 − 2.39084I
b = −0.83324 + 1.77851I
10.40160 + 1.60147I 0
u = −1.45789 + 0.16520I
a = −0.16580 − 1.74651I
b = 0.598179 + 1.209640I
4.59862 − 3.25922I 0
u = −1.45789 − 0.16520I
a = −0.16580 + 1.74651I
b = 0.598179 − 1.209640I
4.59862 + 3.25922I 0
u = 1.45825 + 0.16828I
a = −0.434804 − 1.111530I
b = −0.491524 + 0.921085I
7.70510 + 2.12527I 0
u = 1.45825 − 0.16828I
a = −0.434804 + 1.111530I
b = −0.491524 − 0.921085I
7.70510 − 2.12527I 0
u = 1.45138 + 0.22869I
a = 0.10823 + 2.08387I
b = 0.76679 − 1.62718I
6.89462 + 7.36892I 0
u = 1.45138 − 0.22869I
a = 0.10823 − 2.08387I
b = 0.76679 + 1.62718I
6.89462 − 7.36892I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.331381 + 0.412514I
a = 0.106761 + 0.185095I
b = −1.125260 + 0.182102I
1.68550 + 1.27489I 5.39804 + 4.01532I
u = −0.331381 − 0.412514I
a = 0.106761 − 0.185095I
b = −1.125260 − 0.182102I
1.68550 − 1.27489I 5.39804 − 4.01532I
u = 1.46903 + 0.10252I
a = 0.749139 − 1.031270I
b = −1.18386 + 0.80664I
7.43535 + 0.31449I 0
u = 1.46903 − 0.10252I
a = 0.749139 + 1.031270I
b = −1.18386 − 0.80664I
7.43535 − 0.31449I 0
u = 0.344447 + 0.392764I
a = −1.094460 − 0.523779I
b = −0.71120 + 1.28793I
4.63415 − 0.46030I 12.75141 − 3.68087I
u = 0.344447 − 0.392764I
a = −1.094460 + 0.523779I
b = −0.71120 − 1.28793I
4.63415 + 0.46030I 12.75141 + 3.68087I
u = 0.323830 + 0.404474I
a = 0.070470 + 1.071510I
b = 0.715139 − 0.460126I
−1.31447 + 1.13084I −0.31778 − 3.32927I
u = 0.323830 − 0.404474I
a = 0.070470 − 1.071510I
b = 0.715139 + 0.460126I
−1.31447 − 1.13084I −0.31778 + 3.32927I
u = −1.48393 + 0.06626I
a = 0.65706 − 1.54925I
b = 0.429328 + 0.961197I
11.37480 − 3.02494I 0
u = −1.48393 − 0.06626I
a = 0.65706 + 1.54925I
b = 0.429328 − 0.961197I
11.37480 + 3.02494I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.502872
a = −0.643526
b = −0.0701397
0.686081 15.0850
u = −1.46965 + 0.30131I
a = −0.144511 + 1.194500I
b = −0.816774 − 0.899395I
2.38782 − 6.94233I 0
u = −1.46965 − 0.30131I
a = −0.144511 − 1.194500I
b = −0.816774 + 0.899395I
2.38782 + 6.94233I 0
u = 0.135241 + 0.480858I
a = 1.086020 − 0.081337I
b = 1.31277 + 0.66588I
−4.47274 + 1.42103I −2.41412 − 9.11310I
u = 0.135241 − 0.480858I
a = 1.086020 + 0.081337I
b = 1.31277 − 0.66588I
−4.47274 − 1.42103I −2.41412 + 9.11310I
u = −1.49947 + 0.10759I
a = −0.52445 + 1.32453I
b = −0.026468 − 1.118090I
5.99667 + 1.89828I 0
u = −1.49947 − 0.10759I
a = −0.52445 − 1.32453I
b = −0.026468 + 1.118090I
5.99667 − 1.89828I 0
u = 1.48761 + 0.22734I
a = −0.14623 − 1.90635I
b = −0.94676 + 1.17321I
9.74783 + 7.48765I 0
u = 1.48761 − 0.22734I
a = −0.14623 + 1.90635I
b = −0.94676 − 1.17321I
9.74783 − 7.48765I 0
u = −1.47669 + 0.30402I
a = 0.21829 − 1.95508I
b = 0.96722 + 1.42263I
3.21792 − 12.90040I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.47669 − 0.30402I
a = 0.21829 + 1.95508I
b = 0.96722 − 1.42263I
3.21792 + 12.90040I 0
u = 1.48913 + 0.24952I
a = 0.718320 + 1.169120I
b = −0.183681 − 1.132970I
9.45311 + 3.40508I 0
u = 1.48913 − 0.24952I
a = 0.718320 − 1.169120I
b = −0.183681 + 1.132970I
9.45311 − 3.40508I 0
u = 1.48845 + 0.32840I
a = −0.06535 + 1.41591I
b = 0.93809 − 1.11451I
3.76416 + 10.67190I 0
u = 1.48845 − 0.32840I
a = −0.06535 − 1.41591I
b = 0.93809 + 1.11451I
3.76416 − 10.67190I 0
u = −1.50734 + 0.22791I
a = 0.10179 + 2.04736I
b = −0.90386 − 1.60675I
11.2568 − 12.0279I 0
u = −1.50734 − 0.22791I
a = 0.10179 − 2.04736I
b = −0.90386 + 1.60675I
11.2568 + 12.0279I 0
u = 1.48191 + 0.36823I
a = 0.30711 + 1.62619I
b = 0.563294 − 1.265690I
4.48605 + 6.64518I 0
u = 1.48191 − 0.36823I
a = 0.30711 − 1.62619I
b = 0.563294 + 1.265690I
4.48605 − 6.64518I 0
u = 0.442236 + 0.156467I
a = 2.63962 + 1.04968I
b = −0.062477 − 0.855803I
4.96756 + 2.17337I 18.1390 − 3.6684I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.442236 − 0.156467I
a = 2.63962 − 1.04968I
b = −0.062477 + 0.855803I
4.96756 − 2.17337I 18.1390 + 3.6684I
u = 1.52212 + 0.18110I
a = 0.00857 − 1.79365I
b = −0.455608 + 0.968764I
8.63725 + 6.64928I 0
u = 1.52212 − 0.18110I
a = 0.00857 + 1.79365I
b = −0.455608 − 0.968764I
8.63725 − 6.64928I 0
u = 1.50454 + 0.32601I
a = −0.21252 − 1.92872I
b = −0.90560 + 1.44223I
6.6831 + 19.2820I 0
u = 1.50454 − 0.32601I
a = −0.21252 + 1.92872I
b = −0.90560 − 1.44223I
6.6831 − 19.2820I 0
u = 0.182833 + 0.411901I
a = 3.07598 + 0.39246I
b = 1.073830 − 0.108830I
−4.10673 + 0.16996I 1.48081 + 1.55806I
u = 0.182833 − 0.411901I
a = 3.07598 − 0.39246I
b = 1.073830 + 0.108830I
−4.10673 − 0.16996I 1.48081 − 1.55806I
u = 1.54902 + 0.16159I
a = 0.80434 + 1.48787I
b = 0.297796 − 0.723007I
8.74387 + 7.61134I 0
u = 1.54902 − 0.16159I
a = 0.80434 − 1.48787I
b = 0.297796 + 0.723007I
8.74387 − 7.61134I 0
u = −1.53655 + 0.26458I
a = 0.562524 − 0.750505I
b = 0.219429 + 0.807514I
10.77960 + 0.24683I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.53655 − 0.26458I
a = 0.562524 + 0.750505I
b = 0.219429 − 0.807514I
10.77960 − 0.24683I 0
u = −1.56283 + 0.35482I
a = −0.38548 + 1.55368I
b = −0.459995 − 1.141710I
4.71757 − 8.71513I 0
u = −1.56283 − 0.35482I
a = −0.38548 − 1.55368I
b = −0.459995 + 1.141710I
4.71757 + 8.71513I 0
u = 0.396156
a = −1.14516
b = 1.75359
−0.574805 69.3690
u = 1.60792 + 0.07806I
a = 0.463307 + 1.206510I
b = −0.013219 − 0.987722I
10.12900 − 6.52347I 0
u = 1.60792 − 0.07806I
a = 0.463307 − 1.206510I
b = −0.013219 + 0.987722I
10.12900 + 6.52347I 0
u = −0.020186 + 0.324568I
a = −4.49024 − 3.15502I
b = −0.760796 + 0.341834I
−0.48844 + 6.65050I −2.24841 − 8.24654I
u = −0.020186 − 0.324568I
a = −4.49024 + 3.15502I
b = −0.760796 − 0.341834I
−0.48844 − 6.65050I −2.24841 + 8.24654I
u = −0.021447 + 0.226031I
a = −0.31917 + 3.85458I
b = 0.13511 − 1.45253I
−0.557361 − 0.806260I 20.8063 − 5.0107I
u = −0.021447 − 0.226031I
a = −0.31917 − 3.85458I
b = 0.13511 + 1.45253I
−0.557361 + 0.806260I 20.8063 + 5.0107I
18
II.
I
u
2
= h−1.28 × 10
11
u
31
− 6.83 × 10
10
u
30
+ · · · + 7.82× 10
9
b + 2.42 ×10
11
, 3.96 ×
10
11
u
31
+2.18×10
11
u
30
+· · ·+7.82×10
9
a−8.31×10
11
, u
32
+u
31
+· · ·−4u−1i
(i) Arc colorings
a
4
=
1
0
a
9
=
0
u
a
5
=
1
−u
2
a
10
=
u
−u
3
+ u
a
2
=
−50.6145u
31
− 27.8619u
30
+ ··· + 202.929u + 106.275
16.3094u
31
+ 8.73494u
30
+ ··· − 65.0167u − 30.9390
a
6
=
−u
2
+ 1
u
4
− 2u
2
a
11
=
13.3242u
31
+ 11.9195u
30
+ ··· − 58.0000u − 47.6454
−2.67974u
31
− 0.697812u
30
+ ··· + 11.3373u + 7.58022
a
1
=
−34.3051u
31
− 19.1269u
30
+ ··· + 137.913u + 75.3356
16.3094u
31
+ 8.73494u
30
+ ··· − 65.0167u − 30.9390
a
3
=
−58.3776u
31
− 19.4928u
30
+ ··· + 262.096u + 115.704
8.30357u
31
− 3.80411u
30
+ ··· − 61.2216u − 20.6800
a
8
=
−5.27802u
31
− 2.67318u
30
+ ··· + 23.9860u + 1.73624
−7.63423u
31
− 5.80439u
30
+ ··· + 34.5962u + 20.5132
a
7
=
7.17330u
31
− 4.86084u
30
+ ··· − 63.4857u − 19.3973
27.2671u
31
+ 21.4103u
30
+ ··· − 80.4673u − 44.9402
a
12
=
−31.6254u
31
− 18.4291u
30
+ ··· + 128.575u + 67.7554
18.4166u
31
+ 8.79273u
30
+ ··· − 71.5772u − 32.0576
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
1530507576413
7817930129
u
31
−
7010854641965
7817930129
u
30
+ ··· −
18123732104345
7817930129
u −
5786401633894
7817930129
19
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
32
+ 8u
31
+ ··· + 3u − 1
c
2
u
32
+ u
31
+ ··· − 18u − 9
c
3
u
32
− 10u
31
+ ··· + 2u − 1
c
4
, c
5
u
32
+ u
31
+ ··· − 4u − 1
c
6
u
32
+ 14u
31
+ ··· − 18u + 1
c
7
u
32
− u
31
+ ··· + 18u − 9
c
8
u
32
+ u
31
+ ··· + 25u + 1
c
9
u
32
− u
31
+ ··· + 4u − 1
c
10
u
32
+ 2u
31
+ ··· + 33u + 7
c
11
u
32
+ 8u
30
+ ··· + 24u + 1
c
12
u
32
− 14u
31
+ ··· + 18u + 1
20
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
32
− 166y
31
+ ··· + y + 1
c
2
, c
7
y
32
− 13y
31
+ ··· − 1296y + 81
c
3
y
32
− 136y
31
+ ··· + 16y + 1
c
4
, c
5
, c
9
y
32
− 31y
31
+ ··· − 6y + 1
c
6
, c
12
y
32
− 124y
31
+ ··· − 114y + 1
c
8
y
32
+ 17y
31
+ ··· − 179y + 1
c
10
y
32
+ 18y
31
+ ··· + 3y + 49
c
11
y
32
+ 16y
31
+ ··· − 168y + 1
21
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.486829 + 0.962852I
a = −0.494108 − 0.426181I
b = −0.292671 + 0.822136I
−2.27017 + 3.24651I 6.33110 − 2.41454I
u = 0.486829 − 0.962852I
a = −0.494108 + 0.426181I
b = −0.292671 − 0.822136I
−2.27017 − 3.24651I 6.33110 + 2.41454I
u = 0.839016 + 0.308788I
a = 0.336529 − 1.045110I
b = −0.557430 − 0.158732I
−3.35608 + 1.44478I 0.91945 − 2.31166I
u = 0.839016 − 0.308788I
a = 0.336529 + 1.045110I
b = −0.557430 + 0.158732I
−3.35608 − 1.44478I 0.91945 + 2.31166I
u = 0.921198 + 0.623200I
a = 0.016922 + 0.188247I
b = 0.159067 − 0.669111I
−1.16122 + 2.41944I 12.4713 − 6.7839I
u = 0.921198 − 0.623200I
a = 0.016922 − 0.188247I
b = 0.159067 + 0.669111I
−1.16122 − 2.41944I 12.4713 + 6.7839I
u = −0.704160 + 0.476051I
a = 0.477899 + 0.112566I
b = −0.571375 − 0.430231I
−0.929933 + 0.006122I 7.05971 − 0.92769I
u = −0.704160 − 0.476051I
a = 0.477899 − 0.112566I
b = −0.571375 + 0.430231I
−0.929933 − 0.006122I 7.05971 + 0.92769I
u = −0.851473 + 0.777153I
a = 0.495238 − 0.648206I
b = 0.095483 + 0.525198I
−0.28344 − 5.06571I 6.00000 + 9.61284I
u = −0.851473 − 0.777153I
a = 0.495238 + 0.648206I
b = 0.095483 − 0.525198I
−0.28344 + 5.06571I 6.00000 − 9.61284I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.282360 + 0.061545I
a = −0.03183 + 1.56729I
b = 0.829812 − 0.090543I
3.11579 − 7.18856I 0. + 5.62953I
u = −1.282360 − 0.061545I
a = −0.03183 − 1.56729I
b = 0.829812 + 0.090543I
3.11579 + 7.18856I 0. − 5.62953I
u = 1.301710 + 0.054409I
a = 0.56909 − 2.49021I
b = −0.869395 + 0.765099I
−0.402563 + 0.236518I 0
u = 1.301710 − 0.054409I
a = 0.56909 + 2.49021I
b = −0.869395 − 0.765099I
−0.402563 − 0.236518I 0
u = −1.372660 + 0.133796I
a = 0.447480 + 0.506322I
b = −1.374210 + 0.151720I
0.97171 − 2.90674I 0
u = −1.372660 − 0.133796I
a = 0.447480 − 0.506322I
b = −1.374210 − 0.151720I
0.97171 + 2.90674I 0
u = 1.39628
a = −12.8257
b = 12.9023
4.90112 −15688.0
u = −1.40694 + 0.16449I
a = 0.028907 − 1.376910I
b = 0.82990 + 1.22398I
8.76850 − 0.58713I 0
u = −1.40694 − 0.16449I
a = 0.028907 + 1.376910I
b = 0.82990 − 1.22398I
8.76850 + 0.58713I 0
u = 1.44481 + 0.21513I
a = −0.80027 − 1.35663I
b = −0.067629 + 1.075320I
9.20634 + 4.38657I 0
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.44481 − 0.21513I
a = −0.80027 + 1.35663I
b = −0.067629 − 1.075320I
9.20634 − 4.38657I 0
u = −0.531802
a = 0.995344
b = −1.19870
−0.699217 −8.54510
u = −0.046345 + 0.480182I
a = −0.70552 − 1.23771I
b = 0.287972 − 0.989813I
4.04787 − 1.71772I 10.51944 + 0.69239I
u = −0.046345 − 0.480182I
a = −0.70552 + 1.23771I
b = 0.287972 + 0.989813I
4.04787 + 1.71772I 10.51944 − 0.69239I
u = −0.474328 + 0.050625I
a = −1.62584 + 3.16100I
b = 0.619932 − 0.176610I
0.14566 + 6.63101I 9.96433 − 7.48434I
u = −0.474328 − 0.050625I
a = −1.62584 − 3.16100I
b = 0.619932 + 0.176610I
0.14566 − 6.63101I 9.96433 + 7.48434I
u = −1.51416 + 0.36884I
a = −0.35727 + 1.44405I
b = −0.508287 − 1.162100I
4.12687 − 8.10422I 0
u = −1.51416 − 0.36884I
a = −0.35727 − 1.44405I
b = −0.508287 + 1.162100I
4.12687 + 8.10422I 0
u = 1.55445 + 0.18370I
a = 0.14721 + 1.59919I
b = 0.611317 − 0.757512I
7.85305 + 8.05706I 0
u = 1.55445 − 0.18370I
a = 0.14721 − 1.59919I
b = 0.611317 + 0.757512I
7.85305 − 8.05706I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.172177 + 0.374297I
a = −2.58928 − 0.42173I
b = −1.044290 − 0.332124I
−3.96944 + 0.96818I 4.49020 − 3.91029I
u = 0.172177 − 0.374297I
a = −2.58928 + 0.42173I
b = −1.044290 + 0.332124I
−3.96944 − 0.96818I 4.49020 + 3.91029I
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
32
+ 8u
31
+ ··· + 3u − 1)(u
140
− 21u
139
+ ··· + 2161255u − 89729)
c
2
(u
32
+ u
31
+ ··· − 18u − 9)(u
140
− 38u
138
+ ··· + 756u + 328)
c
3
(u
32
− 10u
31
+ ··· + 2u − 1)(u
140
− 13u
139
+ ··· − 20208u − 28951)
c
4
, c
5
(u
32
+ u
31
+ ··· − 4u − 1)(u
140
+ 2u
139
+ ··· + 246u + 47)
c
6
(u
32
+ 14u
31
+ ··· − 18u + 1)
· (u
140
+ 15u
139
+ ··· − 2958456u − 205039)
c
7
(u
32
− u
31
+ ··· + 18u − 9)(u
140
− 38u
138
+ ··· + 756u + 328)
c
8
(u
32
+ u
31
+ ··· + 25u + 1)(u
140
− 7u
138
+ ··· + 704512u − 32768)
c
9
(u
32
− u
31
+ ··· + 4u − 1)(u
140
+ 2u
139
+ ··· + 246u + 47)
c
10
(u
32
+ 2u
31
+ ··· + 33u + 7)(u
140
+ 3u
139
+ ··· − 58207u + 11101)
c
11
(u
32
+ 8u
30
+ ··· + 24u + 1)(u
140
− 3u
139
+ ··· − 560200u + 26759)
c
12
(u
32
− 14u
31
+ ··· + 18u + 1)
· (u
140
+ 15u
139
+ ··· − 2958456u − 205039)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
32
− 166y
31
+ ··· + y + 1)
· (y
140
− 125y
139
+ ··· − 1146758776985y + 8051293441)
c
2
, c
7
(y
32
− 13y
31
+ ··· − 1296y + 81)
· (y
140
− 76y
139
+ ··· + 1115696y + 107584)
c
3
(y
32
− 136y
31
+ ··· + 16y + 1)
· (y
140
− 103y
139
+ ··· + 8409358610y + 838160401)
c
4
, c
5
, c
9
(y
32
− 31y
31
+ ··· − 6y + 1)(y
140
− 134y
139
+ ··· + 115264y + 2209)
c
6
, c
12
(y
32
− 124y
31
+ ··· − 114y + 1)
· (y
140
− 59y
139
+ ··· − 696264713064y + 42040991521)
c
8
(y
32
+ 17y
31
+ ··· − 179y + 1)
· (y
140
− 14y
139
+ ··· − 53955526656y + 1073741824)
c
10
(y
32
+ 18y
31
+ ··· + 3y + 49)
· (y
140
+ 23y
139
+ ··· + 11979925329y + 123232201)
c
11
(y
32
+ 16y
31
+ ··· − 168y + 1)
· (y
140
− 3y
139
+ ··· − 121398626014y + 716044081)
27
