12a
0711
(K12a
0711
)
A knot diagram
1
Linearized knot diagam
3 8 6 12 1 11 9 2 5 4 7 10
Solving Sequence
7,11 4,12
5 6 3 10 1 9 8 2
c
11
c
4
c
6
c
3
c
10
c
12
c
9
c
7
c
2
c
1
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h8.24922 × 10
742
u
150
6.55529 × 10
743
u
149
+ ··· + 3.04139 × 10
743
b 5.19965 × 10
746
,
1.91365 × 10
744
u
150
+ 1.50999 × 10
745
u
149
+ ··· + 2.56085 × 10
745
a + 1.17408 × 10
748
,
u
151
9u
150
+ ··· 77784u + 6736i
I
u
2
= h−u
37
u
36
+ ··· + b 1, 6999926753u
38
+ 2532872060u
37
+ ··· + 288793a 11032994937,
u
39
+ u
38
+ ··· u 1i
I
u
3
= h−85a
8
32a
7
448a
6
448a
5
2000a
4
+ 136a
3
192a
2
+ 6925b 2531a + 6968,
a
9
+ 2a
8
+ 5a
7
+ 8a
6
+ 23a
5
+ 32a
4
+ 14a
3
+ 64a
2
+ 45a + 19, u + 1i
* 3 irreducible components of dim
C
= 0, with total 199 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
= h8.25 × 10
742
u
150
6.56 × 10
743
u
149
+ · · · + 3.04 × 10
743
b 5.20 ×
10
746
, 1.91 × 10
744
u
150
+ 1.51 × 10
745
u
149
+ · · · + 2.56 × 10
745
a + 1.17 ×
10
748
, u
151
9u
150
+ · · · 77784u + 6736i
(i) Arc colorings
a
7
=
0
u
a
11
=
1
0
a
4
=
0.0747273u
150
0.589646u
149
+ ··· + 4669.48u 458.472
0.271232u
150
+ 2.15536u
149
+ ··· 18159.9u + 1709.63
a
12
=
1
u
2
a
5
=
0.259176u
150
2.05119u
149
+ ··· + 16884.5u 1609.69
0.482694u
150
+ 3.83638u
149
+ ··· 32357.4u + 3046.71
a
6
=
u
u
a
3
=
0.285342u
150
2.26639u
149
+ ··· + 19122.6u 1824.73
0.481847u
150
+ 3.83211u
149
+ ··· 32613.1u + 3075.89
a
10
=
0.156568u
150
1.18601u
149
+ ··· + 6150.56u 500.970
0.237458u
150
+ 1.84504u
149
+ ··· 12246.5u + 1099.36
a
1
=
0.0511511u
150
+ 0.360790u
149
+ ··· 94.6698u 31.6119
0.169936u
150
1.30531u
149
+ ··· + 8352.58u 755.541
a
9
=
0.00946656u
150
+ 0.0828584u
149
+ ··· 794.621u + 60.1216
0.0350054u
150
+ 0.281146u
149
+ ··· 2352.55u + 222.943
a
8
=
0.133701u
150
1.12764u
149
+ ··· + 14432.4u 1420.98
0.182247u
150
1.40174u
149
+ ··· + 8483.12u 742.235
a
2
=
0.0873086u
150
+ 0.720271u
149
+ ··· 9059.99u + 925.738
0.299897u
150
2.44549u
149
+ ··· + 24187.2u 2325.01
(ii) Obstruction class = 1
(iii) Cusp Shapes = 1.63892u
150
+ 13.2222u
149
+ ··· 122765.u + 11717.8
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
151
+ 48u
150
+ ··· 80674u 2401
c
2
, c
8
u
151
+ 24u
149
+ ··· 426u 49
c
3
u
151
14u
150
+ ··· 257214751u 31536997
c
4
u
151
+ 5u
150
+ ··· + 966u 59
c
5
u
151
2u
150
+ ··· 79507801u 5859071
c
6
, c
11
u
151
+ 9u
150
+ ··· 77784u 6736
c
9
u
151
3u
150
+ ··· 8069u 2036
c
10
u
151
u
150
+ ··· 2526120u 565463
c
12
u
151
13u
150
+ ··· + 38u 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
151
+ 128y
150
+ ··· 1298802126y 5764801
c
2
, c
8
y
151
+ 48y
150
+ ··· 80674y 2401
c
3
y
151
60y
150
+ ··· + 55902493354214959y 994582179778009
c
4
y
151
+ 17y
150
+ ··· 183124y 3481
c
5
y
151
32y
150
+ ··· + 1942239802906837y 34328712983041
c
6
, c
11
y
151
91y
150
+ ··· + 1433388480y 45373696
c
9
y
151
13y
150
+ ··· + 100856849y 4145296
c
10
y
151
+ 37y
150
+ ··· 18861220167282y 319748404369
c
12
y
151
+ 19y
150
+ ··· + 64y 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.990792 + 0.090174I
a = 0.345343 0.435342I
b = 1.128770 0.095895I
1.58633 + 5.54457I 0
u = 0.990792 0.090174I
a = 0.345343 + 0.435342I
b = 1.128770 + 0.095895I
1.58633 5.54457I 0
u = 0.097465 + 1.000600I
a = 0.177347 0.154694I
b = 0.604109 0.815814I
0.96753 4.94438I 0
u = 0.097465 1.000600I
a = 0.177347 + 0.154694I
b = 0.604109 + 0.815814I
0.96753 + 4.94438I 0
u = 0.896502 + 0.420675I
a = 0.48637 2.61506I
b = 0.760440 + 0.547402I
3.04760 10.11650I 0
u = 0.896502 0.420675I
a = 0.48637 + 2.61506I
b = 0.760440 0.547402I
3.04760 + 10.11650I 0
u = 0.940240 + 0.371833I
a = 0.82612 2.07358I
b = 0.28924 + 1.75611I
3.17478 2.69679I 0
u = 0.940240 0.371833I
a = 0.82612 + 2.07358I
b = 0.28924 1.75611I
3.17478 + 2.69679I 0
u = 0.240395 + 0.950698I
a = 0.146458 0.347474I
b = 0.599763 0.094709I
4.26814 0.40982I 0
u = 0.240395 0.950698I
a = 0.146458 + 0.347474I
b = 0.599763 + 0.094709I
4.26814 + 0.40982I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.944500 + 0.236617I
a = 0.45444 2.58476I
b = 0.528643 + 0.577970I
1.52725 5.23665I 0
u = 0.944500 0.236617I
a = 0.45444 + 2.58476I
b = 0.528643 0.577970I
1.52725 + 5.23665I 0
u = 0.145553 + 1.029410I
a = 0.261417 0.006944I
b = 0.711117 0.924155I
2.40306 + 8.16907I 0
u = 0.145553 1.029410I
a = 0.261417 + 0.006944I
b = 0.711117 + 0.924155I
2.40306 8.16907I 0
u = 0.923625 + 0.504405I
a = 0.539231 1.297580I
b = 0.088491 + 0.428512I
2.54439 + 6.83425I 0
u = 0.923625 0.504405I
a = 0.539231 + 1.297580I
b = 0.088491 0.428512I
2.54439 6.83425I 0
u = 0.953080 + 0.451898I
a = 0.47890 2.33450I
b = 0.803642 + 0.629421I
3.63677 + 4.61625I 0
u = 0.953080 0.451898I
a = 0.47890 + 2.33450I
b = 0.803642 0.629421I
3.63677 4.61625I 0
u = 0.535628 + 0.928000I
a = 0.004657 0.342697I
b = 0.608148 + 0.495795I
0.91816 1.80329I 0
u = 0.535628 0.928000I
a = 0.004657 + 0.342697I
b = 0.608148 0.495795I
0.91816 + 1.80329I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.922462 + 0.091805I
a = 1.58299 0.09258I
b = 2.23222 0.08350I
2.45429 + 4.42305I 0
u = 0.922462 0.091805I
a = 1.58299 + 0.09258I
b = 2.23222 + 0.08350I
2.45429 4.42305I 0
u = 0.982086 + 0.456771I
a = 0.657622 1.221370I
b = 0.086785 + 0.561386I
3.23791 1.48499I 0
u = 0.982086 0.456771I
a = 0.657622 + 1.221370I
b = 0.086785 0.561386I
3.23791 + 1.48499I 0
u = 0.701039 + 0.579573I
a = 0.508038 + 0.202618I
b = 1.181510 + 0.532304I
2.52298 + 6.05680I 0
u = 0.701039 0.579573I
a = 0.508038 0.202618I
b = 1.181510 0.532304I
2.52298 6.05680I 0
u = 0.880837 + 0.675537I
a = 0.73406 1.50022I
b = 0.295580 + 1.106030I
2.21348 + 7.46414I 0
u = 0.880837 0.675537I
a = 0.73406 + 1.50022I
b = 0.295580 1.106030I
2.21348 7.46414I 0
u = 1.098470 + 0.204652I
a = 0.61191 + 1.33296I
b = 0.976007 0.980967I
0.84041 + 4.53199I 0
u = 1.098470 0.204652I
a = 0.61191 1.33296I
b = 0.976007 + 0.980967I
0.84041 4.53199I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.620699 + 0.618026I
a = 0.512205 + 0.175779I
b = 1.140330 + 0.571912I
2.68045 0.36688I 0
u = 0.620699 0.618026I
a = 0.512205 0.175779I
b = 1.140330 0.571912I
2.68045 + 0.36688I 0
u = 1.110890 + 0.203709I
a = 1.242330 + 0.326624I
b = 2.15503 0.66248I
6.37818 4.27792I 0
u = 1.110890 0.203709I
a = 1.242330 0.326624I
b = 2.15503 + 0.66248I
6.37818 + 4.27792I 0
u = 0.742672 + 0.435982I
a = 0.244433 0.808376I
b = 0.434088 + 0.279550I
1.95317 + 1.88366I 0
u = 0.742672 0.435982I
a = 0.244433 + 0.808376I
b = 0.434088 0.279550I
1.95317 1.88366I 0
u = 1.112610 + 0.260116I
a = 1.126110 + 0.275836I
b = 2.02751 0.67548I
5.46003 + 10.65750I 0
u = 1.112610 0.260116I
a = 1.126110 0.275836I
b = 2.02751 + 0.67548I
5.46003 10.65750I 0
u = 0.964916 + 0.613090I
a = 0.987478 0.710650I
b = 0.179113 + 1.272620I
2.47938 + 2.48193I 0
u = 0.964916 0.613090I
a = 0.987478 + 0.710650I
b = 0.179113 1.272620I
2.47938 2.48193I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.085390 + 0.399085I
a = 0.818888 1.013450I
b = 0.082968 + 1.034270I
2.81189 1.06682I 0
u = 1.085390 0.399085I
a = 0.818888 + 1.013450I
b = 0.082968 1.034270I
2.81189 + 1.06682I 0
u = 0.492041 + 1.058440I
a = 0.014033 0.329602I
b = 0.559794 + 0.545163I
0.73524 3.70950I 0
u = 0.492041 1.058440I
a = 0.014033 + 0.329602I
b = 0.559794 0.545163I
0.73524 + 3.70950I 0
u = 1.159600 + 0.140957I
a = 0.424271 + 1.317780I
b = 0.667907 1.030360I
7.26308 6.02666I 0
u = 1.159600 0.140957I
a = 0.424271 1.317780I
b = 0.667907 + 1.030360I
7.26308 + 6.02666I 0
u = 0.790336 + 0.247385I
a = 0.515385 + 0.350199I
b = 1.151130 + 0.338241I
2.05263 + 2.93425I 0
u = 0.790336 0.247385I
a = 0.515385 0.350199I
b = 1.151130 0.338241I
2.05263 2.93425I 0
u = 1.174220 + 0.150913I
a = 0.82492 1.28779I
b = 0.425548 + 0.884737I
5.38239 + 2.26850I 0
u = 1.174220 0.150913I
a = 0.82492 + 1.28779I
b = 0.425548 0.884737I
5.38239 2.26850I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.186280 + 0.088260I
a = 0.523496 + 1.298170I
b = 0.627000 0.986357I
8.30145 + 0.09663I 0
u = 1.186280 0.088260I
a = 0.523496 1.298170I
b = 0.627000 + 0.986357I
8.30145 0.09663I 0
u = 1.202490 + 0.067128I
a = 0.65583 1.49984I
b = 0.287309 + 0.769328I
2.54949 + 4.60244I 0
u = 1.202490 0.067128I
a = 0.65583 + 1.49984I
b = 0.287309 0.769328I
2.54949 4.60244I 0
u = 1.120120 + 0.488044I
a = 0.38701 1.78560I
b = 0.88858 + 1.17973I
2.13720 + 6.41486I 0
u = 1.120120 0.488044I
a = 0.38701 + 1.78560I
b = 0.88858 1.17973I
2.13720 6.41486I 0
u = 0.767180
a = 1.55361
b = 1.18797
1.35732 0
u = 0.498180 + 0.576239I
a = 0.96802 1.05085I
b = 0.124400 + 0.921156I
2.11145 + 2.25706I 0
u = 0.498180 0.576239I
a = 0.96802 + 1.05085I
b = 0.124400 0.921156I
2.11145 2.25706I 0
u = 1.141830 + 0.498175I
a = 0.771661 + 0.283895I
b = 0.152214 0.560241I
2.15085 3.79029I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.141830 0.498175I
a = 0.771661 0.283895I
b = 0.152214 + 0.560241I
2.15085 + 3.79029I 0
u = 1.057230 + 0.671307I
a = 0.55735 1.51450I
b = 0.474326 + 1.113390I
2.66996 2.40157I 0
u = 1.057230 0.671307I
a = 0.55735 + 1.51450I
b = 0.474326 1.113390I
2.66996 + 2.40157I 0
u = 1.223470 + 0.305858I
a = 0.88771 1.22998I
b = 0.335104 + 0.757621I
2.62183 5.13975I 0
u = 1.223470 0.305858I
a = 0.88771 + 1.22998I
b = 0.335104 0.757621I
2.62183 + 5.13975I 0
u = 0.096371 + 1.257980I
a = 0.1337440 + 0.0227093I
b = 0.611020 1.024920I
5.05268 7.43776I 0
u = 0.096371 1.257980I
a = 0.1337440 0.0227093I
b = 0.611020 + 1.024920I
5.05268 + 7.43776I 0
u = 0.152115 + 1.264010I
a = 0.141925 + 0.046588I
b = 0.640021 1.044650I
4.2392 + 13.5307I 0
u = 0.152115 1.264010I
a = 0.141925 0.046588I
b = 0.640021 + 1.044650I
4.2392 13.5307I 0
u = 0.175416 + 0.702624I
a = 0.982872 + 0.483727I
b = 0.614213 + 1.041840I
5.06633 5.69054I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.175416 0.702624I
a = 0.982872 0.483727I
b = 0.614213 1.041840I
5.06633 + 5.69054I 0
u = 0.693152 + 0.203678I
a = 0.86379 + 2.22176I
b = 0.875411 0.893420I
2.62905 2.52442I 0
u = 0.693152 0.203678I
a = 0.86379 2.22176I
b = 0.875411 + 0.893420I
2.62905 + 2.52442I 0
u = 1.225270 + 0.371026I
a = 0.01194 1.65800I
b = 0.520936 + 0.928388I
1.98992 + 4.93153I 0
u = 1.225270 0.371026I
a = 0.01194 + 1.65800I
b = 0.520936 0.928388I
1.98992 4.93153I 0
u = 1.233620 + 0.380606I
a = 0.08212 1.75557I
b = 1.37609 + 1.50801I
9.48617 3.60923I 0
u = 1.233620 0.380606I
a = 0.08212 + 1.75557I
b = 1.37609 1.50801I
9.48617 + 3.60923I 0
u = 0.155061 + 1.293000I
a = 0.003426 0.305317I
b = 0.213839 + 0.554536I
3.68689 0.26852I 0
u = 0.155061 1.293000I
a = 0.003426 + 0.305317I
b = 0.213839 0.554536I
3.68689 + 0.26852I 0
u = 1.242740 + 0.417172I
a = 0.14549 1.69583I
b = 1.36277 + 1.40709I
9.04153 + 9.78181I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.242740 0.417172I
a = 0.14549 + 1.69583I
b = 1.36277 1.40709I
9.04153 9.78181I 0
u = 0.567632 + 0.381756I
a = 0.220383 0.723401I
b = 0.755907 0.275228I
2.12073 + 2.12358I 0
u = 0.567632 0.381756I
a = 0.220383 + 0.723401I
b = 0.755907 + 0.275228I
2.12073 2.12358I 0
u = 0.094666 + 0.669223I
a = 0.151849 0.815065I
b = 0.039253 + 0.601579I
0.63812 2.48409I 0
u = 0.094666 0.669223I
a = 0.151849 + 0.815065I
b = 0.039253 0.601579I
0.63812 + 2.48409I 0
u = 1.280980 + 0.410808I
a = 0.09614 + 1.67676I
b = 0.92056 1.47271I
1.82648 5.88485I 0
u = 1.280980 0.410808I
a = 0.09614 1.67676I
b = 0.92056 + 1.47271I
1.82648 + 5.88485I 0
u = 0.191587 + 0.617127I
a = 0.101658 + 0.329832I
b = 0.672867 + 0.737268I
0.45055 2.11746I 0
u = 0.191587 0.617127I
a = 0.101658 0.329832I
b = 0.672867 0.737268I
0.45055 + 2.11746I 0
u = 0.613506 + 0.160444I
a = 2.25997 1.62041I
b = 0.279292 + 1.040840I
4.90559 5.35572I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.613506 0.160444I
a = 2.25997 + 1.62041I
b = 0.279292 1.040840I
4.90559 + 5.35572I 0
u = 1.203950 + 0.660215I
a = 0.745928 0.723015I
b = 0.00968 + 1.43454I
7.58653 + 5.39209I 0
u = 1.203950 0.660215I
a = 0.745928 + 0.723015I
b = 0.00968 1.43454I
7.58653 5.39209I 0
u = 0.490712 + 0.387798I
a = 2.16357 0.31721I
b = 0.375975 + 1.052690I
5.44213 0.03382I 0
u = 0.490712 0.387798I
a = 2.16357 + 0.31721I
b = 0.375975 1.052690I
5.44213 + 0.03382I 0
u = 1.357970 + 0.228240I
a = 0.86803 1.16168I
b = 0.464668 + 0.714373I
9.47773 + 3.90174I 0
u = 1.357970 0.228240I
a = 0.86803 + 1.16168I
b = 0.464668 0.714373I
9.47773 3.90174I 0
u = 1.233930 + 0.612559I
a = 0.724861 0.761909I
b = 0.04560 + 1.42053I
7.75639 + 0.46178I 0
u = 1.233930 0.612559I
a = 0.724861 + 0.761909I
b = 0.04560 1.42053I
7.75639 0.46178I 0
u = 0.301429 + 0.533894I
a = 1.61041 + 0.52167I
b = 0.492614 + 1.036000I
5.43794 0.01836I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.301429 0.533894I
a = 1.61041 0.52167I
b = 0.492614 1.036000I
5.43794 + 0.01836I 0
u = 1.368160 + 0.264330I
a = 0.89128 1.16431I
b = 0.447629 + 0.689937I
8.79024 9.85441I 0
u = 1.368160 0.264330I
a = 0.89128 + 1.16431I
b = 0.447629 0.689937I
8.79024 + 9.85441I 0
u = 0.437196 + 0.391752I
a = 0.663003 0.816916I
b = 1.210100 + 0.087442I
3.16416 + 4.90372I 0
u = 0.437196 0.391752I
a = 0.663003 + 0.816916I
b = 1.210100 0.087442I
3.16416 4.90372I 0
u = 1.30203 + 0.55210I
a = 0.15605 + 1.61693I
b = 0.92472 1.41818I
1.24569 13.83460I 0
u = 1.30203 0.55210I
a = 0.15605 1.61693I
b = 0.92472 + 1.41818I
1.24569 + 13.83460I 0
u = 0.61855 + 1.28211I
a = 0.101123 0.114471I
b = 0.222248 0.640083I
4.37644 2.16011I 0
u = 0.61855 1.28211I
a = 0.101123 + 0.114471I
b = 0.222248 + 0.640083I
4.37644 + 2.16011I 0
u = 1.34492 + 0.47852I
a = 0.02791 + 1.56345I
b = 0.93297 1.44945I
5.41844 + 10.16540I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.34492 0.47852I
a = 0.02791 1.56345I
b = 0.93297 + 1.44945I
5.41844 10.16540I 0
u = 1.42284 + 0.23028I
a = 0.291449 + 1.339720I
b = 0.89665 1.44570I
10.57850 0.33416I 0
u = 1.42284 0.23028I
a = 0.291449 1.339720I
b = 0.89665 + 1.44570I
10.57850 + 0.33416I 0
u = 0.047425 + 0.556371I
a = 0.255862 0.555739I
b = 0.850477 + 0.314286I
1.43480 1.49531I 0
u = 0.047425 0.556371I
a = 0.255862 + 0.555739I
b = 0.850477 0.314286I
1.43480 + 1.49531I 0
u = 1.31100 + 0.61553I
a = 0.28226 1.39388I
b = 0.537453 + 1.075340I
0.13796 6.15807I 0
u = 1.31100 0.61553I
a = 0.28226 + 1.39388I
b = 0.537453 1.075340I
0.13796 + 6.15807I 0
u = 1.43002 + 0.28690I
a = 0.223499 + 1.373720I
b = 0.91428 1.46247I
11.09130 + 6.81403I 0
u = 1.43002 0.28690I
a = 0.223499 1.373720I
b = 0.91428 + 1.46247I
11.09130 6.81403I 0
u = 1.37214 + 0.63105I
a = 0.24208 + 1.48481I
b = 0.97101 1.40205I
8.1389 20.1404I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 1.37214 0.63105I
a = 0.24208 1.48481I
b = 0.97101 + 1.40205I
8.1389 + 20.1404I 0
u = 1.38495 + 0.60554I
a = 0.20405 + 1.47787I
b = 0.96857 1.41499I
9.1687 + 13.9281I 0
u = 1.38495 0.60554I
a = 0.20405 1.47787I
b = 0.96857 + 1.41499I
9.1687 13.9281I 0
u = 0.03170 + 1.51306I
a = 0.001362 0.295086I
b = 0.031985 + 0.769642I
0.11829 + 2.78143I 0
u = 0.03170 1.51306I
a = 0.001362 + 0.295086I
b = 0.031985 0.769642I
0.11829 2.78143I 0
u = 1.46143 + 0.47637I
a = 0.154078 + 0.631352I
b = 0.818001 0.643538I
0.35703 + 5.04445I 0
u = 1.46143 0.47637I
a = 0.154078 0.631352I
b = 0.818001 + 0.643538I
0.35703 5.04445I 0
u = 0.243160 + 0.377967I
a = 1.53210 + 0.53906I
b = 0.465241 + 0.841200I
1.49965 0.50922I 6.99226 + 0.92477I
u = 0.243160 0.377967I
a = 1.53210 0.53906I
b = 0.465241 0.841200I
1.49965 + 0.50922I 6.99226 0.92477I
u = 0.024281 + 0.445046I
a = 0.762843 0.718866I
b = 0.880437 0.606000I
2.17802 + 1.98571I 4.36249 3.00195I
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.024281 0.445046I
a = 0.762843 + 0.718866I
b = 0.880437 + 0.606000I
2.17802 1.98571I 4.36249 + 3.00195I
u = 1.41404 + 0.67758I
a = 0.130727 + 0.814415I
b = 0.769118 0.915190I
6.87921 + 11.83050I 0
u = 1.41404 0.67758I
a = 0.130727 0.814415I
b = 0.769118 + 0.915190I
6.87921 11.83050I 0
u = 1.44600 + 0.65448I
a = 0.128289 + 0.769507I
b = 0.725175 0.896250I
7.95815 5.54333I 0
u = 1.44600 0.65448I
a = 0.128289 0.769507I
b = 0.725175 + 0.896250I
7.95815 + 5.54333I 0
u = 1.46513 + 0.61925I
a = 0.239922 + 0.449501I
b = 0.429699 0.661287I
4.62626 1.11864I 0
u = 1.46513 0.61925I
a = 0.239922 0.449501I
b = 0.429699 + 0.661287I
4.62626 + 1.11864I 0
u = 0.340188 + 0.214103I
a = 1.03813 + 4.69804I
b = 0.731479 0.775424I
3.10168 8.29589I 1.49522 + 2.45881I
u = 0.340188 0.214103I
a = 1.03813 4.69804I
b = 0.731479 + 0.775424I
3.10168 + 8.29589I 1.49522 2.45881I
u = 0.57478 + 1.49360I
a = 0.0931614 0.0896343I
b = 0.047867 0.581698I
3.28514 4.19483I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.57478 1.49360I
a = 0.0931614 + 0.0896343I
b = 0.047867 + 0.581698I
3.28514 + 4.19483I 0
u = 1.51732 + 0.51589I
a = 0.108884 1.240360I
b = 0.470351 + 1.120550I
5.62558 + 4.28163I 0
u = 1.51732 0.51589I
a = 0.108884 + 1.240360I
b = 0.470351 1.120550I
5.62558 4.28163I 0
u = 1.50946 + 0.57392I
a = 0.160342 1.234390I
b = 0.496554 + 1.125960I
5.25304 10.02420I 0
u = 1.50946 0.57392I
a = 0.160342 + 1.234390I
b = 0.496554 1.125960I
5.25304 + 10.02420I 0
u = 1.59471 + 0.36275I
a = 0.359951 + 0.775548I
b = 0.189647 1.003210I
10.87520 + 1.09690I 0
u = 1.59471 0.36275I
a = 0.359951 0.775548I
b = 0.189647 + 1.003210I
10.87520 1.09690I 0
u = 1.60959 + 0.30739I
a = 0.359251 + 0.813293I
b = 0.136675 1.025940I
10.42140 7.33115I 0
u = 1.60959 0.30739I
a = 0.359251 0.813293I
b = 0.136675 + 1.025940I
10.42140 + 7.33115I 0
u = 0.321499 + 0.116471I
a = 2.51073 + 4.69380I
b = 0.677777 0.809393I
4.04032 + 2.46988I 3.68254 + 2.40878I
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.321499 0.116471I
a = 2.51073 4.69380I
b = 0.677777 + 0.809393I
4.04032 2.46988I 3.68254 2.40878I
20
II. I
u
2
= h−u
37
u
36
+ · · · + b 1, 7.00 × 10
9
u
38
+ 2.53 × 10
9
u
37
+ · · · +
2.89 × 10
5
a 1.10 × 10
10
, u
39
+ u
38
+ · · · u 1i
(i) Arc colorings
a
7
=
0
u
a
11
=
1
0
a
4
=
24238.6u
38
8770.55u
37
+ ··· 22161.5u + 38203.8
u
37
+ u
36
+ ··· + 2u + 1
a
12
=
1
u
2
a
5
=
14370.0u
38
5217.57u
37
+ ··· 13393.0u + 22734.8
4067.85u
38
1474.55u
37
+ ··· 3550.98u + 6316.63
a
6
=
u
u
a
3
=
14370.0u
38
5217.57u
37
+ ··· 13392.0u + 22734.8
9868.61u
38
3551.98u
37
+ ··· 8767.55u + 15470.0
a
10
=
26188.7u
38
9336.96u
37
+ ··· 23302.2u + 41091.3
12u
38
12u
37
+ ··· 14u
2
13u
a
1
=
2439.39u
38
+ 1310.09u
37
+ ··· + 3404.73u 3497.87
13030.6u
38
+ 4290.32u
37
+ ··· + 10563.5u 20758.7
a
9
=
9119.20u
38
+ 2918.57u
37
+ ··· + 7220.32u 14340.2
20883.9u
38
7173.04u
37
+ ··· 17870.9u + 32940.0
a
8
=
13136.7u
38
+ 3823.66u
37
+ ··· + 8670.64u 20781.4
14107.9u
38
4977.64u
37
+ ··· 13710.4u + 22252.6
a
2
=
6623.13u
38
2361.39u
37
+ ··· 6363.83u + 11133.2
4052.45u
38
1454.40u
37
+ ··· 3812.80u + 6842.79
(ii) Obstruction class = 1
(iii) Cusp Shapes =
34885289890
288793
u
38
+
12852539843
288793
u
37
+ ··· +
31470072458
288793
u
53859849288
288793
21
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
39
15u
38
+ ··· 10u + 1
c
2
u
39
u
38
+ ··· 4u + 1
c
3
u
39
+ 13u
38
+ ··· u + 1
c
4
u
39
+ 2u
37
+ ··· + 39u
3
+ 1
c
5
u
39
+ u
38
+ ··· 5u 1
c
6
u
39
u
38
+ ··· u + 1
c
8
u
39
+ u
38
+ ··· 4u 1
c
9
u
39
u
37
+ ··· + 11u
2
1
c
10
u
39
6u
37
+ ··· 11u
2
1
c
11
u
39
+ u
38
+ ··· u 1
c
12
u
39
+ 6u
38
+ ··· 4u
2
+ 1
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
39
+ 27y
38
+ ··· 66y 1
c
2
, c
8
y
39
+ 15y
38
+ ··· 10y 1
c
3
y
39
5y
38
+ ··· + 63y 1
c
4
y
39
+ 4y
38
+ ··· + 24y
2
1
c
5
y
39
+ 19y
38
+ ··· + 5y 1
c
6
, c
11
y
39
19y
38
+ ··· + 37y 1
c
9
y
39
2y
38
+ ··· + 22y 1
c
10
y
39
12y
38
+ ··· 22y 1
c
12
y
39
+ 2y
38
+ ··· + 8y 1
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 1.004560 + 0.400961I
a = 0.91036 1.19285I
b = 0.254020 + 1.294820I
3.56096 + 1.76607I 0
u = 1.004560 0.400961I
a = 0.91036 + 1.19285I
b = 0.254020 1.294820I
3.56096 1.76607I 0
u = 0.803657
a = 2.62415
b = 2.26935
0.885543 10.7800
u = 1.147670 + 0.403289I
a = 0.01331 1.78773I
b = 0.625178 + 1.135460I
0.85079 + 3.93164I 0
u = 1.147670 0.403289I
a = 0.01331 + 1.78773I
b = 0.625178 1.135460I
0.85079 3.93164I 0
u = 0.768221 + 0.014874I
a = 1.64479 + 0.16043I
b = 1.86563 + 0.14025I
2.77504 + 4.02177I 4.54164 + 0.79272I
u = 0.768221 0.014874I
a = 1.64479 0.16043I
b = 1.86563 0.14025I
2.77504 4.02177I 4.54164 0.79272I
u = 1.123000 + 0.526240I
a = 0.33470 1.85086I
b = 0.432453 + 0.955921I
3.31356 + 8.08716I 0
u = 1.123000 0.526240I
a = 0.33470 + 1.85086I
b = 0.432453 0.955921I
3.31356 8.08716I 0
u = 0.926441 + 0.863271I
a = 0.595021 0.004595I
b = 0.167146 + 0.671875I
4.45396 + 1.74718I 0
24
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.926441 0.863271I
a = 0.595021 + 0.004595I
b = 0.167146 0.671875I
4.45396 1.74718I 0
u = 0.002534 + 1.273350I
a = 0.054883 0.573523I
b = 0.000229 + 0.485748I
0.52823 2.66079I 0
u = 0.002534 1.273350I
a = 0.054883 + 0.573523I
b = 0.000229 0.485748I
0.52823 + 2.66079I 0
u = 0.027348 + 1.276510I
a = 0.160775 0.251169I
b = 0.002492 + 0.485534I
3.58357 + 0.62486I 0
u = 0.027348 1.276510I
a = 0.160775 + 0.251169I
b = 0.002492 0.485534I
3.58357 0.62486I 0
u = 1.166290 + 0.539397I
a = 0.36920 1.76074I
b = 0.478303 + 0.900623I
3.54436 2.93705I 0
u = 1.166290 0.539397I
a = 0.36920 + 1.76074I
b = 0.478303 0.900623I
3.54436 + 2.93705I 0
u = 0.669109 + 0.177926I
a = 2.44855 2.08941I
b = 0.875959 + 0.661864I
4.48568 + 3.02129I 10.78011 6.15555I
u = 0.669109 0.177926I
a = 2.44855 + 2.08941I
b = 0.875959 0.661864I
4.48568 3.02129I 10.78011 + 6.15555I
u = 0.682451 + 0.105656I
a = 0.242326 0.211572I
b = 1.121600 + 0.490267I
1.51915 1.59157I 5.80671 3.27929I
25
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.682451 0.105656I
a = 0.242326 + 0.211572I
b = 1.121600 0.490267I
1.51915 + 1.59157I 5.80671 + 3.27929I
u = 1.241590 + 0.454156I
a = 0.21383 1.53607I
b = 0.670744 + 0.901521I
1.13677 6.00123I 0
u = 1.241590 0.454156I
a = 0.21383 + 1.53607I
b = 0.670744 0.901521I
1.13677 + 6.00123I 0
u = 0.623710 + 0.151678I
a = 2.38554 2.60157I
b = 0.837767 + 0.489263I
3.62339 8.83511I 9.09297 + 9.73420I
u = 0.623710 0.151678I
a = 2.38554 + 2.60157I
b = 0.837767 0.489263I
3.62339 + 8.83511I 9.09297 9.73420I
u = 0.636375 + 0.007188I
a = 0.13060 + 1.68704I
b = 1.068960 + 0.028513I
2.20327 + 3.88401I 0.89172 8.12719I
u = 0.636375 0.007188I
a = 0.13060 1.68704I
b = 1.068960 0.028513I
2.20327 3.88401I 0.89172 + 8.12719I
u = 1.332220 + 0.307011I
a = 0.066657 1.057700I
b = 1.022510 + 0.777923I
8.29603 + 3.46418I 0
u = 1.332220 0.307011I
a = 0.066657 + 1.057700I
b = 1.022510 0.777923I
8.29603 3.46418I 0
u = 0.630757 + 1.225160I
a = 0.154796 + 0.277565I
b = 0.083231 + 0.521368I
3.10502 + 4.21874I 0
26
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.630757 1.225160I
a = 0.154796 0.277565I
b = 0.083231 0.521368I
3.10502 4.21874I 0
u = 1.351890 + 0.339088I
a = 0.155826 1.089140I
b = 0.945031 + 0.739987I
7.70291 9.58771I 0
u = 1.351890 0.339088I
a = 0.155826 + 1.089140I
b = 0.945031 0.739987I
7.70291 + 9.58771I 0
u = 0.593961 + 0.114993I
a = 1.86649 + 0.22845I
b = 0.827916 + 0.345362I
0.46507 4.90237I 1.01936 + 5.02583I
u = 0.593961 0.114993I
a = 1.86649 0.22845I
b = 0.827916 0.345362I
0.46507 + 4.90237I 1.01936 5.02583I
u = 1.357780 + 0.332404I
a = 0.295256 0.789703I
b = 0.957998 + 0.726185I
0.19285 4.82413I 0
u = 1.357780 0.332404I
a = 0.295256 + 0.789703I
b = 0.957998 0.726185I
0.19285 + 4.82413I 0
u = 0.579805 + 0.088328I
a = 1.97180 + 0.96089I
b = 0.824062 + 0.257186I
0.364435 0.161337I 2.17868 + 0.60419I
u = 0.579805 0.088328I
a = 1.97180 0.96089I
b = 0.824062 0.257186I
0.364435 + 0.161337I 2.17868 0.60419I
27
III.
I
u
3
= h−85a
8
+ 6925b + · · · 2531a + 6968, a
9
+ 2a
8
+ · · · + 45a + 19, u + 1i
(i) Arc colorings
a
7
=
0
1
a
11
=
1
0
a
4
=
a
0.0122744a
8
+ 0.00462094a
7
+ ··· + 0.365487a 1.00621
a
12
=
1
1
a
5
=
0.0122744a
8
0.00462094a
7
+ ··· 0.365487a + 1.00621
0.0245487a
8
+ 0.00924188a
7
+ ··· + 1.73097a 2.01242
a
6
=
1
1
a
3
=
0.0122744a
8
0.00462094a
7
+ ··· 0.365487a + 1.00621
0.0245487a
8
+ 0.00924188a
7
+ ··· + 1.73097a 2.01242
a
10
=
0.0199278a
8
0.00332130a
7
+ ··· + 1.55856a + 1.23321
0.0103971a
8
+ 0.0382671a
7
+ ··· + 0.167942a 1.34267
a
1
=
0.0257040a
8
0.0623827a
7
+ ··· + 0.325921a + 0.223827
0.0216606a
8
0.0363899a
7
+ ··· 3.35321a 1.47610
a
9
=
0.0473646a
8
0.0987726a
7
+ ··· 3.02729a 1.25227
0.170108a
8
+ 0.304982a
7
+ ··· + 9.76217a + 4.55018
a
8
=
0.0122744a
8
+ 0.00462094a
7
+ ··· + 1.36549a 1.00621
0.0851986a
8
0.0791336a
7
+ ··· 5.18397a + 2.23134
a
2
=
0.0485199a
8
+ 0.0719134a
7
+ ··· + 3.53040a + 1.76087
0.166065a
8
0.278989a
7
+ ··· 10.6413a 5.45011
(ii) Obstruction class = 1
(iii) Cusp Shapes = 6
28
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
7
u
9
+ 2u
8
+ 3u
7
+ 2u
6
u
5
2u
4
2u
3
+ u 1
c
2
, c
8
, c
12
u
9
+ u
7
+ u
5
u + 1
c
3
u
9
+ 2u
8
u
7
6u
6
u
5
+ 10u
4
+ 6u
3
8u
2
+ u 1
c
4
u
9
2u
8
u
7
+ 6u
6
u
5
10u
4
+ 6u
3
+ 8u
2
+ u + 1
c
6
, c
11
(u 1)
9
c
9
u
9
+ u
7
+ 3u
6
u
5
+ 2u
4
6u
3
+ 15u
2
7u + 1
c
10
u
9
3u
7
+ 4u
6
5u
5
+ 8u
4
10u
3
+ 4u
2
u + 3
29
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
, c
7
y
9
+ 2y
8
y
7
6y
6
y
5
+ 10y
4
+ 6y
3
8y
2
+ y 1
c
2
, c
8
, c
12
y
9
+ 2y
8
+ 3y
7
+ 2y
6
y
5
2y
4
2y
3
+ y 1
c
3
, c
4
y
9
6y
8
+ 23y
7
62y
6
+ 143y
5
206y
4
+ 182y
3
32y
2
15y 1
c
6
, c
11
(y 1)
9
c
9
y
9
+ 2y
8
y
7
23y
6
37y
5
96y
4
16y
3
145y
2
+ 19y 1
c
10
y
9
6y
8
y
7
6y
6
+ 19y
5
+ 10y
4
+ 22y
3
44y
2
23y 9
30
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
1(vol +
1CS) Cusp shape
u = 1.00000
a = 0.373506 + 0.408775I
b = 1.170530 + 0.142656I
1.64493 6.00000
u = 1.00000
a = 0.373506 0.408775I
b = 1.170530 0.142656I
1.64493 6.00000
u = 1.00000
a = 0.82025 + 1.25476I
b = 0.804581 0.921503I
1.64493 6.00000
u = 1.00000
a = 0.82025 1.25476I
b = 0.804581 + 0.921503I
1.64493 6.00000
u = 1.00000
a = 1.71880
b = 2.49568
1.64493 6.00000
u = 1.00000
a = 0.74270 + 1.64110I
b = 0.439148 1.099530I
1.64493 6.00000
u = 1.00000
a = 0.74270 1.64110I
b = 0.439148 + 1.099530I
1.64493 6.00000
u = 1.00000
a = 1.33004 + 1.78195I
b = 0.288120 0.573655I
1.64493 6.00000
u = 1.00000
a = 1.33004 1.78195I
b = 0.288120 + 0.573655I
1.64493 6.00000
31
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
7
(u
9
+ 2u
8
+ 3u
7
+ 2u
6
u
5
2u
4
2u
3
+ u 1)
· (u
39
15u
38
+ ··· 10u + 1)(u
151
+ 48u
150
+ ··· 80674u 2401)
c
2
(u
9
+ u
7
+ u
5
u + 1)(u
39
u
38
+ ··· 4u + 1)
· (u
151
+ 24u
149
+ ··· 426u 49)
c
3
(u
9
+ 2u
8
u
7
6u
6
u
5
+ 10u
4
+ 6u
3
8u
2
+ u 1)
· (u
39
+ 13u
38
+ ··· u + 1)
· (u
151
14u
150
+ ··· 257214751u 31536997)
c
4
(u
9
2u
8
u
7
+ 6u
6
u
5
10u
4
+ 6u
3
+ 8u
2
+ u + 1)
· (u
39
+ 2u
37
+ ··· + 39u
3
+ 1)(u
151
+ 5u
150
+ ··· + 966u 59)
c
5
(u
9
+ 2u
8
+ ··· + u 1)(u
39
+ u
38
+ ··· 5u 1)
· (u
151
2u
150
+ ··· 79507801u 5859071)
c
6
((u 1)
9
)(u
39
u
38
+ ··· u + 1)(u
151
+ 9u
150
+ ··· 77784u 6736)
c
8
(u
9
+ u
7
+ u
5
u + 1)(u
39
+ u
38
+ ··· 4u 1)
· (u
151
+ 24u
149
+ ··· 426u 49)
c
9
(u
9
+ u
7
+ 3u
6
u
5
+ 2u
4
6u
3
+ 15u
2
7u + 1)
· (u
39
u
37
+ ··· + 11u
2
1)(u
151
3u
150
+ ··· 8069u 2036)
c
10
(u
9
3u
7
+ 4u
6
5u
5
+ 8u
4
10u
3
+ 4u
2
u + 3)
· (u
39
6u
37
+ ··· 11u
2
1)(u
151
u
150
+ ··· 2526120u 565463)
c
11
((u 1)
9
)(u
39
+ u
38
+ ··· u 1)(u
151
+ 9u
150
+ ··· 77784u 6736)
c
12
(u
9
+ u
7
+ u
5
u + 1)(u
39
+ 6u
38
+ ··· 4u
2
+ 1)
· (u
151
13u
150
+ ··· + 38u 1)
32
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
9
+ 2y
8
y
7
6y
6
y
5
+ 10y
4
+ 6y
3
8y
2
+ y 1)
· (y
39
+ 27y
38
+ ··· 66y 1)
· (y
151
+ 128y
150
+ ··· 1298802126y 5764801)
c
2
, c
8
(y
9
+ 2y
8
+ 3y
7
+ 2y
6
y
5
2y
4
2y
3
+ y 1)
· (y
39
+ 15y
38
+ ··· 10y 1)(y
151
+ 48y
150
+ ··· 80674y 2401)
c
3
(y
9
6y
8
+ 23y
7
62y
6
+ 143y
5
206y
4
+ 182y
3
32y
2
15y 1)
· (y
39
5y
38
+ ··· + 63y 1)
· (y
151
60y
150
+ ··· + 55902493354214959y 994582179778009)
c
4
(y
9
6y
8
+ 23y
7
62y
6
+ 143y
5
206y
4
+ 182y
3
32y
2
15y 1)
· (y
39
+ 4y
38
+ ··· + 24y
2
1)(y
151
+ 17y
150
+ ··· 183124y 3481)
c
5
(y
9
+ 2y
8
y
7
6y
6
y
5
+ 10y
4
+ 6y
3
8y
2
+ y 1)
· (y
39
+ 19y
38
+ ··· + 5y 1)
· (y
151
32y
150
+ ··· + 1942239802906837y 34328712983041)
c
6
, c
11
((y 1)
9
)(y
39
19y
38
+ ··· + 37y 1)
· (y
151
91y
150
+ ··· + 1433388480y 45373696)
c
9
(y
9
+ 2y
8
y
7
23y
6
37y
5
96y
4
16y
3
145y
2
+ 19y 1)
· (y
39
2y
38
+ ··· + 22y 1)
· (y
151
13y
150
+ ··· + 100856849y 4145296)
c
10
(y
9
6y
8
y
7
6y
6
+ 19y
5
+ 10y
4
+ 22y
3
44y
2
23y 9)
· (y
39
12y
38
+ ··· 22y 1)
· (y
151
+ 37y
150
+ ··· 18861220167282y 319748404369)
c
12
(y
9
+ 2y
8
+ 3y
7
+ 2y
6
y
5
2y
4
2y
3
+ y 1)
· (y
39
+ 2y
38
+ ··· + 8y 1)(y
151
+ 19y
150
+ ··· + 64y 1)
33