12a
0985
(K12a
0985
)
A knot diagram
1
Linearized knot diagam
4 6 11 9 10 3 12 1 5 2 8 7
Solving Sequence
8,12
7
1,4
2 9 5 11 3 6 10
c
7
c
12
c
1
c
8
c
4
c
11
c
3
c
6
c
10
c
2
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h3.10359 × 10
88
u
95
+ 3.33640 × 10
87
u
94
+ ··· + 3.88345 × 10
88
b − 3.40630 × 10
88
,
− 5.44087 × 10
88
u
95
− 1.88768 × 10
87
u
94
+ ··· + 3.88345 × 10
88
a + 4.18452 × 10
89
,
u
96
+ 41u
94
+ ··· + 16u + 1i
I
u
2
= h−2u
17
+ 2u
16
+ ··· + b − 1, 3u
17
− 4u
16
+ ··· + a − 4, u
18
− u
17
+ ··· − 5u − 1i
* 2 irreducible components of dim
C
= 0, with total 114 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
= h3.10 × 10
88
u
95
+ 3.34 × 10
87
u
94
+ · · · + 3.88 × 10
88
b − 3.41 ×
10
88
, −5.44 × 10
88
u
95
− 1.89 × 10
87
u
94
+ · · · + 3.88 × 10
88
a + 4.18 ×
10
89
, u
96
+ 41u
94
+ · · · + 16u + 1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
7
=
1
u
2
a
1
=
u
u
3
+ u
a
4
=
1.40104u
95
+ 0.0486083u
94
+ ··· + 15.5984u − 10.7753
−0.799184u
95
− 0.0859132u
94
+ ··· − 9.66228u + 0.877133
a
2
=
−2.45412u
95
− 0.730520u
94
+ ··· − 292.918u − 9.93176
0.823168u
95
+ 1.17208u
94
+ ··· + 49.4581u + 2.23074
a
9
=
−u
4
− u
2
+ 1
−u
6
− 2u
4
− u
2
a
5
=
0.876886u
95
+ 0.163384u
94
+ ··· + 4.35080u − 9.99737
−0.645493u
95
− 0.124145u
94
+ ··· − 9.62974u + 0.878777
a
11
=
−u
u
a
3
=
0.923446u
95
+ 0.0258408u
94
+ ··· + 15.5935u − 10.7380
−0.321589u
95
− 0.0631457u
94
+ ··· − 9.65730u + 0.839828
a
6
=
2.16220u
95
+ 0.906974u
94
+ ··· + 142.246u − 6.51295
−0.638445u
95
− 1.57608u
94
+ ··· − 40.4967u − 0.642127
a
10
=
−0.695459u
95
− 0.921443u
94
+ ··· − 55.8505u + 13.2455
0.286079u
95
+ 0.128400u
94
+ ··· + 21.7409u − 0.837753
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.146890u
95
− 0.453328u
94
+ ··· − 34.2315u + 11.0354
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
96
− 16u
95
+ ··· + 1153236u − 36731
c
2
, c
6
u
96
+ 2u
95
+ ··· − 1833u + 109
c
3
u
96
− 2u
95
+ ··· − 64086u − 9679
c
4
, c
5
, c
9
u
96
+ 2u
95
+ ··· + 210u − 31
c
7
, c
11
, c
12
u
96
+ 41u
94
+ ··· − 16u + 1
c
8
u
96
− 27u
94
+ ··· − 2362u + 185
c
10
u
96
+ 6u
95
+ ··· + 575784u − 818513
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
96
+ 32y
95
+ ··· − 717572790842y + 1349166361
c
2
, c
6
y
96
− 84y
95
+ ··· − 46507y + 11881
c
3
y
96
+ 24y
95
+ ··· + 1167091062y + 93683041
c
4
, c
5
, c
9
y
96
− 104y
95
+ ··· − 67226y + 961
c
7
, c
11
, c
12
y
96
+ 82y
95
+ ··· + 134y + 1
c
8
y
96
− 54y
95
+ ··· + 4960036y + 34225
c
10
y
96
+ 44y
95
+ ··· + 6891789440382y + 669963531169
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.297798 + 0.927894I
a = 1.42481 + 0.33774I
b = −1.048500 + 0.528138I
5.33002 + 2.05817I 0
u = 0.297798 − 0.927894I
a = 1.42481 − 0.33774I
b = −1.048500 − 0.528138I
5.33002 − 2.05817I 0
u = −0.242954 + 0.935876I
a = 1.67582 + 1.00350I
b = −0.922321 − 0.576315I
5.33582 + 2.30326I 0
u = −0.242954 − 0.935876I
a = 1.67582 − 1.00350I
b = −0.922321 + 0.576315I
5.33582 − 2.30326I 0
u = −0.468863 + 0.815205I
a = 0.884133 − 0.393898I
b = −0.149099 − 0.185872I
2.77482 − 3.30617I 0
u = −0.468863 − 0.815205I
a = 0.884133 + 0.393898I
b = −0.149099 + 0.185872I
2.77482 + 3.30617I 0
u = 0.368372 + 0.999484I
a = 1.32514 − 1.17194I
b = 0.063016 + 1.038760I
3.41807 − 4.04230I 0
u = 0.368372 − 0.999484I
a = 1.32514 + 1.17194I
b = 0.063016 − 1.038760I
3.41807 + 4.04230I 0
u = 1.028350 + 0.284393I
a = −0.0242050 + 0.0238082I
b = 0.202927 − 0.715178I
11.15810 + 1.10966I 0
u = 1.028350 − 0.284393I
a = −0.0242050 − 0.0238082I
b = 0.202927 + 0.715178I
11.15810 − 1.10966I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.876854 + 0.192713I
a = 0.0135335 − 0.0501523I
b = 0.75480 + 1.70626I
13.6016 − 12.2540I 13.3299 + 6.6530I
u = −0.876854 − 0.192713I
a = 0.0135335 + 0.0501523I
b = 0.75480 − 1.70626I
13.6016 + 12.2540I 13.3299 − 6.6530I
u = −0.858239 + 0.247052I
a = −0.135607 − 0.107341I
b = −0.049923 − 0.793801I
4.65285 − 1.38450I 21.4925 + 3.3160I
u = −0.858239 − 0.247052I
a = −0.135607 + 0.107341I
b = −0.049923 + 0.793801I
4.65285 + 1.38450I 21.4925 − 3.3160I
u = 0.754888 + 0.867470I
a = −0.579279 − 0.114684I
b = 0.177260 − 0.377626I
9.34632 + 4.89597I 0
u = 0.754888 − 0.867470I
a = −0.579279 + 0.114684I
b = 0.177260 + 0.377626I
9.34632 − 4.89597I 0
u = −0.037077 + 1.150490I
a = 2.41494 + 0.68901I
b = −2.26468 − 0.22862I
5.51141 + 2.29478I 0
u = −0.037077 − 1.150490I
a = 2.41494 − 0.68901I
b = −2.26468 + 0.22862I
5.51141 − 2.29478I 0
u = −0.506526 + 1.045940I
a = −1.10492 − 1.20836I
b = −0.137683 + 1.058590I
10.99120 + 7.36565I 0
u = −0.506526 − 1.045940I
a = −1.10492 + 1.20836I
b = −0.137683 − 1.058590I
10.99120 − 7.36565I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.803111 + 0.179218I
a = −0.066784 + 0.203569I
b = −0.72208 + 1.76413I
5.96033 + 8.31880I 11.72121 − 7.68923I
u = 0.803111 − 0.179218I
a = −0.066784 − 0.203569I
b = −0.72208 − 1.76413I
5.96033 − 8.31880I 11.72121 + 7.68923I
u = 0.799970 + 0.191989I
a = 0.402602 − 0.223941I
b = 0.393651 + 0.967532I
7.69465 + 2.08742I 12.33446 + 0.I
u = 0.799970 − 0.191989I
a = 0.402602 + 0.223941I
b = 0.393651 − 0.967532I
7.69465 − 2.08742I 12.33446 + 0.I
u = −0.765641 + 0.177569I
a = 0.058867 + 0.521809I
b = −0.49997 − 1.70099I
7.76985 − 6.20036I 12.5527 + 7.0916I
u = −0.765641 − 0.177569I
a = 0.058867 − 0.521809I
b = −0.49997 + 1.70099I
7.76985 + 6.20036I 12.5527 − 7.0916I
u = 0.174399 + 1.204260I
a = −1.41191 + 1.18471I
b = 0.94890 − 1.10675I
−1.78673 − 0.55616I 0
u = 0.174399 − 1.204260I
a = −1.41191 − 1.18471I
b = 0.94890 + 1.10675I
−1.78673 + 0.55616I 0
u = −0.260942 + 1.195980I
a = −1.60099 − 1.89265I
b = −0.13554 + 1.56039I
1.76493 − 1.30510I 0
u = −0.260942 − 1.195980I
a = −1.60099 + 1.89265I
b = −0.13554 − 1.56039I
1.76493 + 1.30510I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.248016 + 1.217990I
a = −2.02802 + 0.13854I
b = 1.116670 − 0.085813I
1.48638 + 1.59400I 0
u = 0.248016 − 1.217990I
a = −2.02802 − 0.13854I
b = 1.116670 + 0.085813I
1.48638 − 1.59400I 0
u = 0.751595 + 0.016937I
a = −1.059530 − 0.071636I
b = −1.02361 − 1.53401I
12.26790 + 3.03497I 16.1617 − 2.7279I
u = 0.751595 − 0.016937I
a = −1.059530 + 0.071636I
b = −1.02361 + 1.53401I
12.26790 − 3.03497I 16.1617 + 2.7279I
u = −0.021473 + 1.257070I
a = 2.41435 − 0.48914I
b = −1.28386 + 0.71695I
4.59269 − 2.78319I 0
u = −0.021473 − 1.257070I
a = 2.41435 + 0.48914I
b = −1.28386 − 0.71695I
4.59269 + 2.78319I 0
u = −0.732032 + 0.098973I
a = 0.483559 + 0.553909I
b = 0.89041 + 1.93513I
5.04928 − 2.30450I 15.6170 + 4.0427I
u = −0.732032 − 0.098973I
a = 0.483559 − 0.553909I
b = 0.89041 − 1.93513I
5.04928 + 2.30450I 15.6170 − 4.0427I
u = −0.731589 + 0.019018I
a = −1.205440 − 0.361661I
b = 0.61819 + 1.51176I
11.74330 + 2.07260I 17.0633 − 3.3447I
u = −0.731589 − 0.019018I
a = −1.205440 + 0.361661I
b = 0.61819 − 1.51176I
11.74330 − 2.07260I 17.0633 + 3.3447I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.703785 + 0.084147I
a = 0.813100 − 0.049463I
b = −0.379016 − 1.165570I
4.89946 + 1.84798I 17.8296 − 4.2620I
u = 0.703785 − 0.084147I
a = 0.813100 + 0.049463I
b = −0.379016 + 1.165570I
4.89946 − 1.84798I 17.8296 + 4.2620I
u = 0.695883 + 0.132592I
a = −0.033172 + 0.207088I
b = 0.58544 − 1.43059I
1.24016 + 3.72681I 8.54039 − 7.95601I
u = 0.695883 − 0.132592I
a = −0.033172 − 0.207088I
b = 0.58544 + 1.43059I
1.24016 − 3.72681I 8.54039 + 7.95601I
u = −0.295356 + 1.258260I
a = −0.82981 − 2.24049I
b = 0.46143 + 2.69377I
7.91422 − 5.77924I 0
u = −0.295356 − 1.258260I
a = −0.82981 + 2.24049I
b = 0.46143 − 2.69377I
7.91422 + 5.77924I 0
u = 0.310058 + 1.254940I
a = −2.05810 + 0.49235I
b = 1.67334 − 1.92790I
8.44313 + 0.79707I 0
u = 0.310058 − 1.254940I
a = −2.05810 − 0.49235I
b = 1.67334 + 1.92790I
8.44313 − 0.79707I 0
u = −0.136050 + 1.299620I
a = 0.328660 − 0.105995I
b = −0.612886 − 1.001880I
−4.03722 − 1.90716I 0
u = −0.136050 − 1.299620I
a = 0.328660 + 0.105995I
b = −0.612886 + 1.001880I
−4.03722 + 1.90716I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.252390 + 1.285990I
a = −2.21302 − 0.29107I
b = 1.70487 + 1.10185I
−2.67540 − 3.29908I 0
u = −0.252390 − 1.285990I
a = −2.21302 + 0.29107I
b = 1.70487 − 1.10185I
−2.67540 + 3.29908I 0
u = 0.316404 + 1.278790I
a = 0.79569 − 1.82844I
b = 0.599041 + 1.059650I
8.23786 + 6.89090I 0
u = 0.316404 − 1.278790I
a = 0.79569 + 1.82844I
b = 0.599041 − 1.059650I
8.23786 − 6.89090I 0
u = −0.303533 + 1.283320I
a = 2.23154 + 0.38372I
b = −1.361510 − 0.277434I
7.68745 − 1.66728I 0
u = −0.303533 − 1.283320I
a = 2.23154 − 0.38372I
b = −1.361510 + 0.277434I
7.68745 + 1.66728I 0
u = −0.248832 + 1.313700I
a = 1.09035 + 0.97321I
b = −0.486336 − 1.022820I
−2.86852 − 3.08123I 0
u = −0.248832 − 1.313700I
a = 1.09035 − 0.97321I
b = −0.486336 + 1.022820I
−2.86852 + 3.08123I 0
u = −0.025099 + 1.349610I
a = −1.092790 + 0.441049I
b = 1.385700 + 0.275464I
−3.10973 − 0.12051I 0
u = −0.025099 − 1.349610I
a = −1.092790 − 0.441049I
b = 1.385700 − 0.275464I
−3.10973 + 0.12051I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.289627 + 1.322520I
a = 0.77601 − 1.37242I
b = −0.42944 + 1.89136I
0.47824 + 5.45167I 0
u = 0.289627 − 1.322520I
a = 0.77601 + 1.37242I
b = −0.42944 − 1.89136I
0.47824 − 5.45167I 0
u = −0.309892 + 1.329500I
a = 2.44045 + 0.85201I
b = −1.61454 − 2.21245I
0.55606 − 6.08308I 0
u = −0.309892 − 1.329500I
a = 2.44045 − 0.85201I
b = −1.61454 + 2.21245I
0.55606 + 6.08308I 0
u = −0.633892 + 0.010730I
a = −0.253223 + 0.050010I
b = −0.579715 + 1.054560I
1.320770 + 0.084987I 9.06513 + 0.40515I
u = −0.633892 − 0.010730I
a = −0.253223 − 0.050010I
b = −0.579715 − 1.054560I
1.320770 − 0.084987I 9.06513 − 0.40515I
u = 0.042448 + 1.371830I
a = 0.271221 + 0.211770I
b = −0.006035 − 0.968999I
−6.65383 − 0.57803I 0
u = 0.042448 − 1.371830I
a = 0.271221 − 0.211770I
b = −0.006035 + 0.968999I
−6.65383 + 0.57803I 0
u = 0.292775 + 1.342320I
a = 2.23024 − 0.79047I
b = −1.68849 + 1.44385I
−3.40813 + 7.33110I 0
u = 0.292775 − 1.342320I
a = 2.23024 + 0.79047I
b = −1.68849 − 1.44385I
−3.40813 − 7.33110I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.323456 + 1.367720I
a = −2.30956 − 1.11094I
b = 1.76574 + 1.68744I
2.89024 − 10.14720I 0
u = −0.323456 − 1.367720I
a = −2.30956 + 1.11094I
b = 1.76574 − 1.68744I
2.89024 + 10.14720I 0
u = 0.340364 + 1.372580I
a = −2.20860 + 0.96212I
b = 1.44293 − 2.03466I
1.05989 + 12.44780I 0
u = 0.340364 − 1.372580I
a = −2.20860 − 0.96212I
b = 1.44293 + 2.03466I
1.05989 − 12.44780I 0
u = 0.34803 + 1.37485I
a = −0.841132 + 0.773121I
b = 0.246506 − 0.764832I
2.74864 + 6.24845I 0
u = 0.34803 − 1.37485I
a = −0.841132 − 0.773121I
b = 0.246506 + 0.764832I
2.74864 − 6.24845I 0
u = 0.01952 + 1.43460I
a = −0.769120 + 0.379387I
b = 0.366518 − 0.959554I
−1.73042 + 2.38839I 0
u = 0.01952 − 1.43460I
a = −0.769120 − 0.379387I
b = 0.366518 + 0.959554I
−1.73042 − 2.38839I 0
u = −0.37037 + 1.38955I
a = −1.021020 − 0.479373I
b = 0.727865 + 1.081280I
−0.48481 − 5.83061I 0
u = −0.37037 − 1.38955I
a = −1.021020 + 0.479373I
b = 0.727865 − 1.081280I
−0.48481 + 5.83061I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.37493 + 1.39120I
a = 2.15442 + 0.91869I
b = −1.49224 − 1.92312I
8.5959 − 16.7526I 0
u = −0.37493 − 1.39120I
a = 2.15442 − 0.91869I
b = −1.49224 + 1.92312I
8.5959 + 16.7526I 0
u = −0.06176 + 1.44236I
a = 0.357987 + 0.072523I
b = −0.678987 + 0.482610I
−4.37466 − 4.58299I 0
u = −0.06176 − 1.44236I
a = 0.357987 − 0.072523I
b = −0.678987 − 0.482610I
−4.37466 + 4.58299I 0
u = 0.44659 + 1.42474I
a = 1.058410 − 0.220352I
b = −0.815660 + 0.839339I
5.83952 + 6.37389I 0
u = 0.44659 − 1.42474I
a = 1.058410 + 0.220352I
b = −0.815660 − 0.839339I
5.83952 − 6.37389I 0
u = 0.14770 + 1.52007I
a = 0.1206530 − 0.0140937I
b = 0.173827 + 0.526717I
1.35845 + 7.82129I 0
u = 0.14770 − 1.52007I
a = 0.1206530 + 0.0140937I
b = 0.173827 − 0.526717I
1.35845 − 7.82129I 0
u = 0.063242 + 0.460274I
a = −1.01721 + 1.43677I
b = 0.217139 − 0.090660I
−1.07044 − 1.08420I −0.68210 + 4.04350I
u = 0.063242 − 0.460274I
a = −1.01721 − 1.43677I
b = 0.217139 + 0.090660I
−1.07044 + 1.08420I −0.68210 − 4.04350I
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.397596
a = 2.82934
b = 0.458866
0.0845739 18.2460
u = −0.000356 + 0.380130I
a = −2.06727 − 1.43639I
b = −0.552662 + 0.376486I
2.15307 + 0.06425I 7.44822 + 0.31372I
u = −0.000356 − 0.380130I
a = −2.06727 + 1.43639I
b = −0.552662 − 0.376486I
2.15307 − 0.06425I 7.44822 − 0.31372I
u = −0.324906
a = −0.610878
b = −0.545493
0.732805 14.8840
u = −0.0435603 + 0.0807855I
a = −11.94500 − 0.14459I
b = 1.46191 − 0.25011I
8.63682 − 2.55248I 12.96184 − 1.53720I
u = −0.0435603 − 0.0807855I
a = −11.94500 + 0.14459I
b = 1.46191 + 0.25011I
8.63682 + 2.55248I 12.96184 + 1.53720I
14
II.
I
u
2
= h−2u
17
+2u
16
+· · ·+b−1, 3u
17
−4u
16
+· · ·+a−4, u
18
−u
17
+· · ·−5u−1i
(i) Arc colorings
a
8
=
1
0
a
12
=
0
u
a
7
=
1
u
2
a
1
=
u
u
3
+ u
a
4
=
−3u
17
+ 4u
16
+ ··· − 9u + 4
2u
17
− 2u
16
+ ··· − 11u
2
+ 1
a
2
=
u
17
+ 2u
16
+ ··· − 13u + 3
−u
17
− 2u
16
+ ··· + 9u + 2
a
9
=
−u
4
− u
2
+ 1
−u
6
− 2u
4
− u
2
a
5
=
−3u
17
+ 2u
16
+ ··· − 3u + 6
2u
17
− u
16
+ ··· − 5u
2
− 5u
a
11
=
−u
u
a
3
=
−3u
17
+ 3u
16
+ ··· − 5u + 5
2u
17
− u
16
+ ··· − 5u
2
− 4u
a
6
=
2u
17
+ 13u
15
+ ··· − 7u + 2
−2u
17
− 14u
15
+ ··· + 6u + 1
a
10
=
3u
17
− 4u
16
+ ··· + 7u − 3
−2u
17
+ 2u
16
+ ··· − u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = 6u
17
− 6u
16
+ 48u
15
− 41u
14
+ 153u
13
− 111u
12
+ 230u
11
−
136u
10
+ 127u
9
− 50u
8
− 53u
7
+ 32u
6
− 66u
5
+ 12u
4
+ 7u
3
− 17u
2
+ 8u
15
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
18
+ 3u
17
+ ··· − 3u − 1
c
2
u
18
− 3u
17
+ ··· − 12u − 3
c
3
u
18
+ u
17
+ ··· − u − 1
c
4
, c
5
u
18
+ u
17
+ ··· + u + 1
c
6
u
18
+ 3u
17
+ ··· + 12u − 3
c
7
u
18
− u
17
+ ··· − 5u − 1
c
8
u
18
+ u
17
+ ··· − 7u − 1
c
9
u
18
− u
17
+ ··· − u + 1
c
10
u
18
− u
17
+ ··· + u − 1
c
11
, c
12
u
18
+ u
17
+ ··· + 5u − 1
16
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
18
+ 3y
17
+ ··· + 3y + 1
c
2
, c
6
y
18
− 21y
17
+ ··· − 138y + 9
c
3
y
18
+ 3y
17
+ ··· + 3y + 1
c
4
, c
5
, c
9
y
18
− 21y
17
+ ··· + 3y + 1
c
7
, c
11
, c
12
y
18
+ 17y
17
+ ··· − 37y + 1
c
8
y
18
− 11y
17
+ ··· − 39y + 1
c
10
y
18
+ 3y
17
+ ··· + 3y + 1
17
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.891733
a = 0.613108
b = 0.0601484
10.9451 15.2260
u = 0.153770 + 1.203160I
a = −3.26790 + 0.32259I
b = 2.51579 − 0.78066I
6.19502 − 1.26786I 11.31087 − 1.11382I
u = 0.153770 − 1.203160I
a = −3.26790 − 0.32259I
b = 2.51579 + 0.78066I
6.19502 + 1.26786I 11.31087 + 1.11382I
u = 0.316243 + 1.197540I
a = 0.042230 − 0.407049I
b = −0.553086 + 0.893947I
7.47150 + 4.37140I 10.37534 − 2.87392I
u = 0.316243 − 1.197540I
a = 0.042230 + 0.407049I
b = −0.553086 − 0.893947I
7.47150 − 4.37140I 10.37534 + 2.87392I
u = −0.218112 + 1.220430I
a = 1.91376 + 0.65281I
b = −0.699779 − 0.561675I
0.71211 − 1.85426I 3.44363 + 4.30956I
u = −0.218112 − 1.220430I
a = 1.91376 − 0.65281I
b = −0.699779 + 0.561675I
0.71211 + 1.85426I 3.44363 − 4.30956I
u = 0.624359 + 0.357134I
a = 0.124757 + 0.173546I
b = −0.790923 − 0.901272I
8.72151 + 3.68733I 14.1228 − 4.5533I
u = 0.624359 − 0.357134I
a = 0.124757 − 0.173546I
b = −0.790923 + 0.901272I
8.72151 − 3.68733I 14.1228 + 4.5533I
u = −0.699815 + 0.162416I
a = −0.392511 − 0.444039I
b = −0.037318 − 1.083100I
3.84819 − 1.31696I 9.24417 + 0.83643I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.699815 − 0.162416I
a = −0.392511 + 0.444039I
b = −0.037318 + 1.083100I
3.84819 + 1.31696I 9.24417 − 0.83643I
u = −0.054710 + 1.326330I
a = 0.838356 − 0.034430I
b = −0.847999 − 0.876875I
−4.68101 − 0.78696I 2.03327 − 0.03899I
u = −0.054710 − 1.326330I
a = 0.838356 + 0.034430I
b = −0.847999 + 0.876875I
−4.68101 + 0.78696I 2.03327 + 0.03899I
u = −0.313788 + 1.347220I
a = −1.30037 − 0.65424I
b = 0.89313 + 1.44864I
−0.91278 − 5.07377I 4.59837 + 2.00791I
u = −0.313788 − 1.347220I
a = −1.30037 + 0.65424I
b = 0.89313 − 1.44864I
−0.91278 + 5.07377I 4.59837 − 2.00791I
u = 0.32853 + 1.43950I
a = 0.765269 − 0.983894I
b = −0.345030 + 1.239790I
2.94732 + 7.44527I 10.65448 − 7.39173I
u = 0.32853 − 1.43950I
a = 0.765269 + 0.983894I
b = −0.345030 − 1.239790I
2.94732 − 7.44527I 10.65448 + 7.39173I
u = −0.164690
a = 5.93970
b = 0.670278
−0.331160 −1.79230
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
18
+ 3u
17
+ ··· − 3u − 1)(u
96
− 16u
95
+ ··· + 1153236u − 36731)
c
2
(u
18
− 3u
17
+ ··· − 12u − 3)(u
96
+ 2u
95
+ ··· − 1833u + 109)
c
3
(u
18
+ u
17
+ ··· − u − 1)(u
96
− 2u
95
+ ··· − 64086u − 9679)
c
4
, c
5
(u
18
+ u
17
+ ··· + u + 1)(u
96
+ 2u
95
+ ··· + 210u − 31)
c
6
(u
18
+ 3u
17
+ ··· + 12u − 3)(u
96
+ 2u
95
+ ··· − 1833u + 109)
c
7
(u
18
− u
17
+ ··· − 5u − 1)(u
96
+ 41u
94
+ ··· − 16u + 1)
c
8
(u
18
+ u
17
+ ··· − 7u − 1)(u
96
− 27u
94
+ ··· − 2362u + 185)
c
9
(u
18
− u
17
+ ··· − u + 1)(u
96
+ 2u
95
+ ··· + 210u − 31)
c
10
(u
18
− u
17
+ ··· + u − 1)(u
96
+ 6u
95
+ ··· + 575784u − 818513)
c
11
, c
12
(u
18
+ u
17
+ ··· + 5u − 1)(u
96
+ 41u
94
+ ··· − 16u + 1)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
18
+ 3y
17
+ ··· + 3y + 1)
· (y
96
+ 32y
95
+ ··· − 717572790842y + 1349166361)
c
2
, c
6
(y
18
− 21y
17
+ ··· − 138y + 9)(y
96
− 84y
95
+ ··· − 46507y + 11881)
c
3
(y
18
+ 3y
17
+ ··· + 3y + 1)
· (y
96
+ 24y
95
+ ··· + 1167091062y + 93683041)
c
4
, c
5
, c
9
(y
18
− 21y
17
+ ··· + 3y + 1)(y
96
− 104y
95
+ ··· − 67226y + 961)
c
7
, c
11
, c
12
(y
18
+ 17y
17
+ ··· − 37y + 1)(y
96
+ 82y
95
+ ··· + 134y + 1)
c
8
(y
18
− 11y
17
+ ··· − 39y + 1)(y
96
− 54y
95
+ ··· + 4960036y + 34225)
c
10
(y
18
+ 3y
17
+ ··· + 3y + 1)
· (y
96
+ 44y
95
+ ··· + 6891789440382y + 669963531169)
21
