12a
0894
(K12a
0894
)
A knot diagram
1
Linearized knot diagam
4 6 7 1 12 10 11 5 2 3 8 9
Solving Sequence
1,5
4
2,9
10 8 12 6 3 11 7
c
4
c
1
c
9
c
8
c
12
c
5
c
2
c
11
c
7
c
3
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h−1.23311 × 10
1321
u
182
1.04572 × 10
1322
u
181
+ ··· + 9.42107 × 10
1324
b + 6.84728 × 10
1326
,
2.05752 × 10
1324
u
182
1.58554 × 10
1325
u
181
+ ··· + 4.70704 × 10
1327
a + 3.38310 × 10
1329
,
u
183
4u
182
+ ··· 183798u 52461i
I
u
2
= h1.76355 × 10
53
u
46
+ 1.58871 × 10
54
u
45
+ ··· + 8.44121 × 10
52
b + 1.62815 × 10
54
,
2.19349 × 10
53
u
46
1.93560 × 10
54
u
45
+ ··· + 1.20589 × 10
52
a 1.36685 × 10
54
,
u
47
+ 9u
46
+ ··· + 24u + 1i
* 2 irreducible components of dim
C
= 0, with total 230 representations.
1
The image of knot diagram is generated by the software Draw programme developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h−1.23 × 10
1321
u
182
1.05 × 10
1322
u
181
+ · · · + 9.42 × 10
1324
b +
6.85 × 10
1326
, 2.06 × 10
1324
u
182
1.59 × 10
1325
u
181
+ · · · + 4.71 × 10
1327
a +
3.38 × 10
1329
, u
183
4u
182
+ · · · 183798u 52461i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
u
2
a
2
=
u
u
3
+ u
a
9
=
0.000437115u
182
+ 0.00336845u
181
+ ··· 250.884u 71.8732
0.000130888u
182
+ 0.00110998u
181
+ ··· 248.349u 72.6805
a
10
=
0.000331403u
182
+ 0.00448532u
181
+ ··· 500.110u 140.941
0.0000835116u
182
+ 0.00156077u
181
+ ··· 287.666u 84.3878
a
8
=
0.000306227u
182
+ 0.00447843u
181
+ ··· 499.233u 144.554
0.000130888u
182
+ 0.00110998u
181
+ ··· 248.349u 72.6805
a
12
=
0.00347163u
182
+ 0.0110800u
181
+ ··· + 602.397u + 123.260
0.00167816u
182
+ 0.00558788u
181
+ ··· + 256.078u + 53.2486
a
6
=
0.00432757u
182
+ 0.0193125u
181
+ ··· 98.1824u 70.2159
0.00251588u
182
+ 0.0123166u
181
+ ··· 224.975u 97.0449
a
3
=
0.000725381u
182
+ 0.00428746u
181
+ ··· 247.036u 92.9010
0.000269656u
182
+ 0.00213422u
181
+ ··· 237.320u 81.4091
a
11
=
0.00444480u
182
+ 0.0143521u
181
+ ··· + 796.155u + 173.803
0.00259495u
182
+ 0.00946862u
181
+ ··· + 294.790u + 58.7802
a
7
=
0.00446128u
182
+ 0.0166268u
181
+ ··· + 464.515u + 79.1026
0.00310175u
182
+ 0.0118779u
181
+ ··· + 246.090u + 34.9016
(ii) Obstruction class = 1
(iii) Cusp Shapes = 0.00341695u
182
0.0213085u
181
+ ··· + 1013.78u + 305.421
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
u
183
+ 4u
182
+ ··· 183798u + 52461
c
2
u
183
2u
182
+ ··· 318294u 40021
c
3
u
183
+ u
182
+ ··· + 2518528u 157696
c
5
u
183
+ 2u
182
+ ··· 626724u 79331
c
6
u
183
2u
182
+ ··· + 1244u + 203
c
7
, c
11
u
183
3u
182
+ ··· 13392267u 702451
c
8
7(7u
183
18u
182
+ ··· + 2.12491 × 10
7
u + 234650)
c
9
7(7u
183
34u
182
+ ··· + 2.80348 × 10
7
u 1352596)
c
10
7(7u
183
+ u
182
+ ··· + 354748u + 24677)
c
12
u
183
u
182
+ ··· + 9088u 448
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
183
+ 142y
182
+ ··· 132303001266y 2752156521
c
2
y
183
+ 2y
182
+ ··· + 214292514570y 1601680441
c
3
y
183
+ 57y
182
+ ··· 1746473320448y 24868028416
c
5
y
183
20y
182
+ ··· + 171767282162y 6293407561
c
6
y
183
6y
182
+ ··· + 3080998y 41209
c
7
, c
11
y
183
151y
182
+ ··· + 52196002203823y 493437407401
c
8
49(49y
183
+ 3834y
182
+ ··· + 5.29211 × 10
14
y 5.50606 × 10
10
)
c
9
49
· (49y
183
2136y
182
+ ··· + 122950525332321y 1829515939216)
c
10
49(49y
183
2479y
182
+ ··· + 5.75236 × 10
10
y 6.08954 × 10
8
)
c
12
y
183
+ 25y
182
+ ··· + 604160y 200704
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.353361 + 0.935758I
a = 0.222524 + 0.249072I
b = 0.94781 + 1.58440I
1.74024 1.78318I 0
u = 0.353361 0.935758I
a = 0.222524 0.249072I
b = 0.94781 1.58440I
1.74024 + 1.78318I 0
u = 0.996758 + 0.017899I
a = 0.743697 0.766270I
b = 0.717105 + 1.009770I
4.30464 + 7.27339I 0
u = 0.996758 0.017899I
a = 0.743697 + 0.766270I
b = 0.717105 1.009770I
4.30464 7.27339I 0
u = 1.005900 + 0.068998I
a = 1.010940 0.591258I
b = 0.755267 + 0.718964I
3.33360 + 9.53239I 0
u = 1.005900 0.068998I
a = 1.010940 + 0.591258I
b = 0.755267 0.718964I
3.33360 9.53239I 0
u = 0.878637 + 0.509873I
a = 0.346505 0.879630I
b = 0.594251 + 0.741620I
1.96779 0.01153I 0
u = 0.878637 0.509873I
a = 0.346505 + 0.879630I
b = 0.594251 0.741620I
1.96779 + 0.01153I 0
u = 0.263132 + 0.999119I
a = 0.362798 + 0.310372I
b = 1.81846 + 0.02694I
4.99563 + 4.29408I 0
u = 0.263132 0.999119I
a = 0.362798 0.310372I
b = 1.81846 0.02694I
4.99563 4.29408I 0
5
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.946198 + 0.066457I
a = 0.952445 + 0.634107I
b = 0.600046 1.133960I
2.76487 5.29634I 0
u = 0.946198 0.066457I
a = 0.952445 0.634107I
b = 0.600046 + 1.133960I
2.76487 + 5.29634I 0
u = 0.366480 + 0.990925I
a = 1.57808 0.46897I
b = 0.497082 0.728812I
0.25857 4.52320I 0
u = 0.366480 0.990925I
a = 1.57808 + 0.46897I
b = 0.497082 + 0.728812I
0.25857 + 4.52320I 0
u = 1.057230 + 0.043906I
a = 0.762989 0.253049I
b = 0.848577 + 0.622499I
3.58567 1.82509I 0
u = 1.057230 0.043906I
a = 0.762989 + 0.253049I
b = 0.848577 0.622499I
3.58567 + 1.82509I 0
u = 0.220734 + 0.913464I
a = 0.52460 1.34256I
b = 0.397501 1.207380I
0.85432 + 4.03337I 0
u = 0.220734 0.913464I
a = 0.52460 + 1.34256I
b = 0.397501 + 1.207380I
0.85432 4.03337I 0
u = 1.048520 + 0.168591I
a = 0.963110 + 0.345834I
b = 0.673624 0.515132I
3.37727 2.33210I 0
u = 1.048520 0.168591I
a = 0.963110 0.345834I
b = 0.673624 + 0.515132I
3.37727 + 2.33210I 0
6
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.218643 + 0.911081I
a = 0.460486 + 0.578131I
b = 0.325169 + 1.101020I
1.79037 1.85431I 0
u = 0.218643 0.911081I
a = 0.460486 0.578131I
b = 0.325169 1.101020I
1.79037 + 1.85431I 0
u = 0.234778 + 0.906789I
a = 1.66370 0.15218I
b = 0.569059 + 0.991582I
6.87653 + 1.24248I 0
u = 0.234778 0.906789I
a = 1.66370 + 0.15218I
b = 0.569059 0.991582I
6.87653 1.24248I 0
u = 0.130337 + 1.056720I
a = 1.24837 + 0.79566I
b = 0.64933 + 1.40979I
7.56133 + 5.13956I 0
u = 0.130337 1.056720I
a = 1.24837 0.79566I
b = 0.64933 1.40979I
7.56133 5.13956I 0
u = 0.102430 + 1.061440I
a = 0.129601 0.937600I
b = 0.25067 2.05061I
2.55597 0.05704I 0
u = 0.102430 1.061440I
a = 0.129601 + 0.937600I
b = 0.25067 + 2.05061I
2.55597 + 0.05704I 0
u = 0.081149 + 1.064730I
a = 0.251050 + 1.350510I
b = 0.15888 + 1.75753I
1.88430 + 6.51448I 0
u = 0.081149 1.064730I
a = 0.251050 1.350510I
b = 0.15888 1.75753I
1.88430 6.51448I 0
7
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.788921 + 0.480921I
a = 0.692194 0.773701I
b = 1.07762 0.95301I
2.43066 7.71293I 0
u = 0.788921 0.480921I
a = 0.692194 + 0.773701I
b = 1.07762 + 0.95301I
2.43066 + 7.71293I 0
u = 0.716335 + 0.569837I
a = 1.027840 + 0.274184I
b = 0.695669 + 1.130800I
2.10543 4.06058I 0
u = 0.716335 0.569837I
a = 1.027840 0.274184I
b = 0.695669 1.130800I
2.10543 + 4.06058I 0
u = 0.047368 + 1.087940I
a = 1.128930 0.832709I
b = 0.611281 1.044630I
2.46520 + 1.29570I 0
u = 0.047368 1.087940I
a = 1.128930 + 0.832709I
b = 0.611281 + 1.044630I
2.46520 1.29570I 0
u = 0.939429 + 0.586393I
a = 0.404949 0.510478I
b = 0.128717 + 0.660503I
0.98787 2.24903I 0
u = 0.939429 0.586393I
a = 0.404949 + 0.510478I
b = 0.128717 0.660503I
0.98787 + 2.24903I 0
u = 0.300353 + 0.838277I
a = 1.68395 + 0.66185I
b = 0.614944 0.759039I
5.99125 3.44755I 0
u = 0.300353 0.838277I
a = 1.68395 0.66185I
b = 0.614944 + 0.759039I
5.99125 + 3.44755I 0
8
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.887469
a = 0.549715
b = 0.0101625
1.71845 0
u = 0.083492 + 1.116180I
a = 0.777356 0.469521I
b = 1.20757 1.67865I
7.44089 4.05881I 0
u = 0.083492 1.116180I
a = 0.777356 + 0.469521I
b = 1.20757 + 1.67865I
7.44089 + 4.05881I 0
u = 0.326054 + 1.075000I
a = 1.32904 + 0.91384I
b = 0.487753 + 0.736488I
0.19557 1.78627I 0
u = 0.326054 1.075000I
a = 1.32904 0.91384I
b = 0.487753 0.736488I
0.19557 + 1.78627I 0
u = 0.798489 + 0.356338I
a = 0.695522 0.796183I
b = 0.246041 + 0.425888I
2.16763 + 0.10355I 0
u = 0.798489 0.356338I
a = 0.695522 + 0.796183I
b = 0.246041 0.425888I
2.16763 0.10355I 0
u = 0.073928 + 1.131220I
a = 1.59262 + 0.61619I
b = 0.529033 + 0.585016I
2.24288 + 4.34518I 0
u = 0.073928 1.131220I
a = 1.59262 0.61619I
b = 0.529033 0.585016I
2.24288 4.34518I 0
u = 0.004398 + 1.140070I
a = 1.49668 0.93345I
b = 0.009395 0.924953I
8.34632 0.46353I 0
9
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.004398 1.140070I
a = 1.49668 + 0.93345I
b = 0.009395 + 0.924953I
8.34632 + 0.46353I 0
u = 0.269624 + 1.111210I
a = 0.338858 + 0.100705I
b = 1.35123 0.91146I
0.41612 + 7.30003I 0
u = 0.269624 1.111210I
a = 0.338858 0.100705I
b = 1.35123 + 0.91146I
0.41612 7.30003I 0
u = 0.536428 + 0.653241I
a = 0.141720 + 0.153670I
b = 0.916447 0.227859I
1.77674 0.85721I 0
u = 0.536428 0.653241I
a = 0.141720 0.153670I
b = 0.916447 + 0.227859I
1.77674 + 0.85721I 0
u = 0.484167 + 1.050870I
a = 0.457670 0.232103I
b = 1.92140 + 0.11159I
4.17759 + 12.48690I 0
u = 0.484167 1.050870I
a = 0.457670 + 0.232103I
b = 1.92140 0.11159I
4.17759 12.48690I 0
u = 0.045426 + 1.157010I
a = 1.35060 + 1.31535I
b = 0.025880 + 0.733816I
8.21427 + 2.89848I 0
u = 0.045426 1.157010I
a = 1.35060 1.31535I
b = 0.025880 0.733816I
8.21427 2.89848I 0
u = 0.422818 + 0.724471I
a = 0.766881 0.223474I
b = 1.45001 1.15461I
1.88033 1.35372I 0
10
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.422818 0.724471I
a = 0.766881 + 0.223474I
b = 1.45001 + 1.15461I
1.88033 + 1.35372I 0
u = 0.831342
a = 1.33235
b = 0.948288
0.483949 0
u = 0.028257 + 1.174870I
a = 0.261634 + 0.021606I
b = 0.963858 + 0.991946I
2.99812 1.63320I 0
u = 0.028257 1.174870I
a = 0.261634 0.021606I
b = 0.963858 0.991946I
2.99812 + 1.63320I 0
u = 0.458504 + 1.089010I
a = 1.297240 0.413359I
b = 0.777085 1.091510I
0.02440 + 4.89286I 0
u = 0.458504 1.089010I
a = 1.297240 + 0.413359I
b = 0.777085 + 1.091510I
0.02440 4.89286I 0
u = 0.849201 + 0.825469I
a = 0.552684 0.426529I
b = 1.31940 0.63872I
0.09413 3.09571I 0
u = 0.849201 0.825469I
a = 0.552684 + 0.426529I
b = 1.31940 + 0.63872I
0.09413 + 3.09571I 0
u = 0.070119 + 1.205630I
a = 0.980071 0.294533I
b = 0.113218 0.931316I
8.07248 3.44277I 0
u = 0.070119 1.205630I
a = 0.980071 + 0.294533I
b = 0.113218 + 0.931316I
8.07248 + 3.44277I 0
11
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.190972 + 1.193950I
a = 1.08866 1.22515I
b = 0.081944 0.832532I
7.83745 + 11.70160I 0
u = 0.190972 1.193950I
a = 1.08866 + 1.22515I
b = 0.081944 + 0.832532I
7.83745 11.70160I 0
u = 0.368971 + 1.165730I
a = 0.630338 0.408816I
b = 1.027180 0.081457I
3.11301 4.28028I 0
u = 0.368971 1.165730I
a = 0.630338 + 0.408816I
b = 1.027180 + 0.081457I
3.11301 + 4.28028I 0
u = 0.244356 + 0.737492I
a = 0.108667 + 0.550986I
b = 0.364932 1.178350I
0.96823 5.42523I 0
u = 0.244356 0.737492I
a = 0.108667 0.550986I
b = 0.364932 + 1.178350I
0.96823 + 5.42523I 0
u = 0.083731 + 1.247490I
a = 0.406869 + 1.134010I
b = 0.230124 + 0.845856I
7.69278 + 0.35419I 0
u = 0.083731 1.247490I
a = 0.406869 1.134010I
b = 0.230124 0.845856I
7.69278 0.35419I 0
u = 0.463139 + 0.589493I
a = 0.12131 + 1.53874I
b = 0.343879 + 0.860642I
1.81954 2.23994I 0
u = 0.463139 0.589493I
a = 0.12131 1.53874I
b = 0.343879 0.860642I
1.81954 + 2.23994I 0
12
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.155664 + 1.251670I
a = 1.061570 0.317033I
b = 1.010970 0.816892I
4.45230 5.21175I 0
u = 0.155664 1.251670I
a = 1.061570 + 0.317033I
b = 1.010970 + 0.816892I
4.45230 + 5.21175I 0
u = 1.190140 + 0.438550I
a = 0.512550 + 0.493114I
b = 0.770570 0.854996I
4.52957 3.86574I 0
u = 1.190140 0.438550I
a = 0.512550 0.493114I
b = 0.770570 + 0.854996I
4.52957 + 3.86574I 0
u = 0.286880 + 1.240540I
a = 0.959494 + 0.261179I
b = 0.601745 + 1.060420I
6.22217 + 0.94119I 0
u = 0.286880 1.240540I
a = 0.959494 0.261179I
b = 0.601745 1.060420I
6.22217 0.94119I 0
u = 0.264929 + 1.260310I
a = 1.163140 0.628802I
b = 0.895777 0.921002I
2.82705 + 5.02590I 0
u = 0.264929 1.260310I
a = 1.163140 + 0.628802I
b = 0.895777 + 0.921002I
2.82705 5.02590I 0
u = 0.206855 + 1.281810I
a = 0.849259 + 1.000950I
b = 0.011487 + 0.895548I
5.91223 3.80922I 0
u = 0.206855 1.281810I
a = 0.849259 1.000950I
b = 0.011487 0.895548I
5.91223 + 3.80922I 0
13
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.656234 + 1.121240I
a = 0.464258 0.265021I
b = 0.543883 0.357689I
0.45448 3.59651I 0
u = 0.656234 1.121240I
a = 0.464258 + 0.265021I
b = 0.543883 + 0.357689I
0.45448 + 3.59651I 0
u = 0.691619 + 0.056259I
a = 0.233198 + 1.275080I
b = 0.566991 0.939656I
5.89009 2.09906I 0
u = 0.691619 0.056259I
a = 0.233198 1.275080I
b = 0.566991 + 0.939656I
5.89009 + 2.09906I 0
u = 1.293840 + 0.185622I
a = 0.555880 + 0.262877I
b = 0.957850 1.029210I
1.05501 4.51121I 0
u = 1.293840 0.185622I
a = 0.555880 0.262877I
b = 0.957850 + 1.029210I
1.05501 + 4.51121I 0
u = 0.198799 + 1.294160I
a = 1.40590 0.71544I
b = 0.697979 0.497053I
2.00407 + 5.44742I 0
u = 0.198799 1.294160I
a = 1.40590 + 0.71544I
b = 0.697979 + 0.497053I
2.00407 5.44742I 0
u = 0.178195 + 1.312730I
a = 0.231596 + 0.088504I
b = 0.190463 + 1.292530I
6.87494 + 1.26054I 0
u = 0.178195 1.312730I
a = 0.231596 0.088504I
b = 0.190463 1.292530I
6.87494 1.26054I 0
14
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.493813 + 1.233590I
a = 1.112530 0.274480I
b = 0.066058 + 0.814084I
7.85689 0.20204I 0
u = 0.493813 1.233590I
a = 1.112530 + 0.274480I
b = 0.066058 0.814084I
7.85689 + 0.20204I 0
u = 0.829346 + 1.076770I
a = 1.046620 0.031456I
b = 0.849883 + 1.096060I
2.89341 8.99267I 0
u = 0.829346 1.076770I
a = 1.046620 + 0.031456I
b = 0.849883 1.096060I
2.89341 + 8.99267I 0
u = 0.308675 + 1.328600I
a = 0.884486 0.411016I
b = 0.508356 0.440787I
3.21363 3.91201I 0
u = 0.308675 1.328600I
a = 0.884486 + 0.411016I
b = 0.508356 + 0.440787I
3.21363 + 3.91201I 0
u = 1.368980 + 0.132745I
a = 0.637508 + 0.441709I
b = 0.828747 0.970265I
2.7675 + 14.4661I 0
u = 1.368980 0.132745I
a = 0.637508 0.441709I
b = 0.828747 + 0.970265I
2.7675 14.4661I 0
u = 0.523848 + 1.278390I
a = 0.391147 + 0.071671I
b = 0.842500 + 0.277597I
0.19061 3.72591I 0
u = 0.523848 1.278390I
a = 0.391147 0.071671I
b = 0.842500 0.277597I
0.19061 + 3.72591I 0
15
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.546828 + 1.272320I
a = 0.920914 + 0.277614I
b = 0.88050 + 1.42443I
9.11955 + 7.05412I 0
u = 0.546828 1.272320I
a = 0.920914 0.277614I
b = 0.88050 1.42443I
9.11955 7.05412I 0
u = 0.601513 + 1.251720I
a = 0.810433 + 0.338062I
b = 0.028923 0.898449I
8.95796 + 2.66110I 0
u = 0.601513 1.251720I
a = 0.810433 0.338062I
b = 0.028923 + 0.898449I
8.95796 2.66110I 0
u = 0.291852 + 0.533192I
a = 0.476273 0.650036I
b = 0.922349 + 0.546882I
1.65296 1.42972I 0
u = 0.291852 0.533192I
a = 0.476273 + 0.650036I
b = 0.922349 0.546882I
1.65296 + 1.42972I 0
u = 0.207557 + 1.393540I
a = 0.811635 + 0.504360I
b = 0.96071 + 1.54827I
10.5901 11.0088I 0
u = 0.207557 1.393540I
a = 0.811635 0.504360I
b = 0.96071 1.54827I
10.5901 + 11.0088I 0
u = 0.31823 + 1.38161I
a = 1.004210 + 0.773245I
b = 0.513770 + 1.087590I
3.63117 7.44096I 0
u = 0.31823 1.38161I
a = 1.004210 0.773245I
b = 0.513770 1.087590I
3.63117 + 7.44096I 0
16
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.63747 + 1.28820I
a = 0.800443 + 0.034085I
b = 0.554279 0.977003I
3.61984 + 8.63450I 0
u = 0.63747 1.28820I
a = 0.800443 0.034085I
b = 0.554279 + 0.977003I
3.61984 8.63450I 0
u = 0.49310 + 1.35405I
a = 1.077770 + 0.430069I
b = 0.84465 + 1.35885I
8.6174 + 12.6237I 0
u = 0.49310 1.35405I
a = 1.077770 0.430069I
b = 0.84465 1.35885I
8.6174 12.6237I 0
u = 0.425594 + 0.360680I
a = 1.50501 + 1.75000I
b = 0.368181 0.547478I
2.41132 + 5.07426I 0
u = 0.425594 0.360680I
a = 1.50501 1.75000I
b = 0.368181 + 0.547478I
2.41132 5.07426I 0
u = 0.54654 + 1.34215I
a = 0.852298 + 0.457680I
b = 0.82270 + 1.15184I
0.67863 7.51832I 0
u = 0.54654 1.34215I
a = 0.852298 0.457680I
b = 0.82270 1.15184I
0.67863 + 7.51832I 0
u = 0.46572 + 1.37486I
a = 1.088400 + 0.481454I
b = 0.880272 + 1.047570I
1.2230 + 14.7692I 0
u = 0.46572 1.37486I
a = 1.088400 0.481454I
b = 0.880272 1.047570I
1.2230 14.7692I 0
17
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.48083 + 1.38202I
a = 1.099830 0.557557I
b = 0.66938 1.37482I
7.35002 10.49740I 0
u = 0.48083 1.38202I
a = 1.099830 + 0.557557I
b = 0.66938 + 1.37482I
7.35002 + 10.49740I 0
u = 0.456276 + 0.281124I
a = 1.13697 + 1.08264I
b = 1.015490 + 0.654376I
3.16140 1.26598I 0
u = 0.456276 0.281124I
a = 1.13697 1.08264I
b = 1.015490 0.654376I
3.16140 + 1.26598I 0
u = 0.375285 + 0.360544I
a = 0.696456 + 1.103150I
b = 0.425266 + 1.257700I
1.18959 1.61842I 3.72926 3.76453I
u = 0.375285 0.360544I
a = 0.696456 1.103150I
b = 0.425266 1.257700I
1.18959 + 1.61842I 3.72926 + 3.76453I
u = 0.35228 + 1.43722I
a = 0.744852 0.439951I
b = 0.89537 1.59751I
10.64380 + 1.09697I 0
u = 0.35228 1.43722I
a = 0.744852 + 0.439951I
b = 0.89537 + 1.59751I
10.64380 1.09697I 0
u = 0.48081 + 1.41610I
a = 1.028570 0.445882I
b = 0.749512 0.926552I
1.58277 7.78025I 0
u = 0.48081 1.41610I
a = 1.028570 + 0.445882I
b = 0.749512 + 0.926552I
1.58277 + 7.78025I 0
18
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.34636 + 1.45556I
a = 0.836641 + 0.539569I
b = 0.034310 + 0.750640I
7.24389 3.12585I 0
u = 0.34636 1.45556I
a = 0.836641 0.539569I
b = 0.034310 0.750640I
7.24389 + 3.12585I 0
u = 0.034004 + 0.495683I
a = 1.44190 0.19639I
b = 0.017645 + 0.840471I
0.94473 1.50150I 2.46856 + 1.66894I
u = 0.034004 0.495683I
a = 1.44190 + 0.19639I
b = 0.017645 0.840471I
0.94473 + 1.50150I 2.46856 1.66894I
u = 0.55616 + 1.41518I
a = 0.873077 0.519817I
b = 0.77779 1.52676I
5.94080 10.81550I 0
u = 0.55616 1.41518I
a = 0.873077 + 0.519817I
b = 0.77779 + 1.52676I
5.94080 + 10.81550I 0
u = 0.469587 + 0.073136I
a = 1.47135 1.51583I
b = 0.630400 + 0.661731I
0.86854 2.10969I 4.42524 + 4.52973I
u = 0.469587 0.073136I
a = 1.47135 + 1.51583I
b = 0.630400 0.661731I
0.86854 + 2.10969I 4.42524 4.52973I
u = 1.41738 + 0.57379I
a = 0.153285 + 0.548614I
b = 0.495754 0.741753I
0.99806 + 1.41438I 0
u = 1.41738 0.57379I
a = 0.153285 0.548614I
b = 0.495754 + 0.741753I
0.99806 1.41438I 0
19
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.470440
a = 2.33027
b = 0.304619
2.03675 6.17570
u = 1.48832 + 0.35775I
a = 0.560296 0.288071I
b = 0.907569 + 0.868077I
0.00701 5.30851I 0
u = 1.48832 0.35775I
a = 0.560296 + 0.288071I
b = 0.907569 0.868077I
0.00701 + 5.30851I 0
u = 0.15568 + 1.54470I
a = 0.226865 + 0.132028I
b = 0.073627 0.359822I
1.16743 4.27487I 0
u = 0.15568 1.54470I
a = 0.226865 0.132028I
b = 0.073627 + 0.359822I
1.16743 + 4.27487I 0
u = 0.06398 + 1.55216I
a = 0.452459 + 1.058360I
b = 0.038747 + 0.717804I
8.95580 3.93465I 0
u = 0.06398 1.55216I
a = 0.452459 1.058360I
b = 0.038747 0.717804I
8.95580 + 3.93465I 0
u = 0.91928 + 1.25515I
a = 0.336206 + 0.261611I
b = 0.318335 0.758397I
7.35727 1.94149I 0
u = 0.91928 1.25515I
a = 0.336206 0.261611I
b = 0.318335 + 0.758397I
7.35727 + 1.94149I 0
u = 0.58298 + 1.46379I
a = 0.984238 0.396053I
b = 0.86747 1.38624I
7.7546 + 21.1463I 0
20
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.58298 1.46379I
a = 0.984238 + 0.396053I
b = 0.86747 + 1.38624I
7.7546 21.1463I 0
u = 0.02295 + 1.58260I
a = 0.319312 0.749462I
b = 0.028405 1.010110I
9.91856 4.98468I 0
u = 0.02295 1.58260I
a = 0.319312 + 0.749462I
b = 0.028405 + 1.010110I
9.91856 + 4.98468I 0
u = 0.69741 + 1.45166I
a = 0.700303 0.180472I
b = 0.020734 + 0.838960I
7.86698 + 11.24480I 0
u = 0.69741 1.45166I
a = 0.700303 + 0.180472I
b = 0.020734 0.838960I
7.86698 11.24480I 0
u = 0.374189 + 0.055407I
a = 2.79072 2.34512I
b = 0.457221 + 0.301242I
1.91309 3.12150I 20.6911 + 8.9993I
u = 0.374189 0.055407I
a = 2.79072 + 2.34512I
b = 0.457221 0.301242I
1.91309 + 3.12150I 20.6911 8.9993I
u = 0.58065 + 1.54011I
a = 0.871343 + 0.379238I
b = 0.89516 + 1.39519I
5.81411 12.32850I 0
u = 0.58065 1.54011I
a = 0.871343 0.379238I
b = 0.89516 1.39519I
5.81411 + 12.32850I 0
u = 0.150828 + 0.306526I
a = 0.77410 + 3.02019I
b = 0.211462 + 1.202300I
2.10477 4.79766I 7.52661 + 5.11426I
21
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.150828 0.306526I
a = 0.77410 3.02019I
b = 0.211462 1.202300I
2.10477 + 4.79766I 7.52661 5.11426I
u = 0.11397 + 1.67332I
a = 0.273705 0.239989I
b = 0.115500 0.930195I
9.90076 4.63397I 0
u = 0.11397 1.67332I
a = 0.273705 + 0.239989I
b = 0.115500 + 0.930195I
9.90076 + 4.63397I 0
u = 0.164721 + 0.264296I
a = 3.21591 + 1.73671I
b = 0.780301 + 1.007680I
4.87250 9.94040I 2.63196 + 6.22883I
u = 0.164721 0.264296I
a = 3.21591 1.73671I
b = 0.780301 1.007680I
4.87250 + 9.94040I 2.63196 6.22883I
u = 0.083894 + 0.289067I
a = 4.37841 + 0.56054I
b = 0.406232 0.423936I
0.07891 3.88197I 1.3587 + 14.3171I
u = 0.083894 0.289067I
a = 4.37841 0.56054I
b = 0.406232 + 0.423936I
0.07891 + 3.88197I 1.3587 14.3171I
u = 0.187506 + 0.134908I
a = 2.74804 2.39125I
b = 0.771357 + 0.827286I
5.08411 + 2.99986I 2.46902 3.35514I
u = 0.187506 0.134908I
a = 2.74804 + 2.39125I
b = 0.771357 0.827286I
5.08411 2.99986I 2.46902 + 3.35514I
u = 0.53513 + 1.72559I
a = 0.482560 0.101640I
b = 0.023260 0.648486I
4.79715 4.03069I 0
22
Solutions to I
u
1
1(vol +
1CS) Cusp shape
u = 0.53513 1.72559I
a = 0.482560 + 0.101640I
b = 0.023260 + 0.648486I
4.79715 + 4.03069I 0
u = 0.60557 + 2.39600I
a = 0.1028890 + 0.0254360I
b = 0.121571 + 0.563880I
7.84421 5.44128I 0
u = 0.60557 2.39600I
a = 0.1028890 0.0254360I
b = 0.121571 0.563880I
7.84421 + 5.44128I 0
23
II. I
u
2
= h1.76 × 10
53
u
46
+ 1.59 × 10
54
u
45
+ · · · + 8.44 × 10
52
b + 1.63 ×
10
54
, 2.19 × 10
53
u
46
1.94 × 10
54
u
45
+ · · · + 1.21 × 10
52
a 1.37 ×
10
54
, u
47
+ 9u
46
+ · · · + 24u + 1i
(i) Arc colorings
a
1
=
0
u
a
5
=
1
0
a
4
=
1
u
2
a
2
=
u
u
3
+ u
a
9
=
18.1898u
46
+ 160.513u
45
+ ··· + 1984.23u + 113.348
2.08922u
46
18.8209u
45
+ ··· 336.745u 19.2881
a
10
=
18.1839u
46
+ 160.159u
45
+ ··· + 1927.72u + 110.322
1.96892u
46
17.5786u
45
+ ··· 287.436u 16.5614
a
8
=
16.1006u
46
+ 141.692u
45
+ ··· + 1647.48u + 94.0600
2.08922u
46
18.8209u
45
+ ··· 336.745u 19.2881
a
12
=
41.8893u
46
+ 371.234u
45
+ ··· + 5127.66u + 300.236
3.64878u
46
32.4488u
45
+ ··· 444.712u 27.1681
a
6
=
24.0520u
46
213.005u
45
+ ··· 3249.44u 202.035
0.0728393u
46
+ 0.672591u
45
+ ··· 12.4387u 0.305149
a
3
=
38.5977u
46
343.538u
45
+ ··· 5027.52u 299.890
1.80052u
46
+ 15.7069u
45
+ ··· + 182.144u + 12.4621
a
11
=
0.711628u
46
+ 6.46854u
45
+ ··· + 14.0663u 6.92274
0.406479u
46
+ 3.64936u
45
+ ··· 14.7993u 1.80765
a
7
=
34.5158u
46
+ 305.417u
45
+ ··· + 3895.57u + 221.805
2.93397u
46
26.3161u
45
+ ··· 425.667u 25.6595
(ii) Obstruction class = 1
(iii) Cusp Shapes = 6.68888u
46
59.2167u
45
+ ··· 890.293u 53.7964
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
47
9u
46
+ ··· + 24u 1
c
2
u
47
+ u
46
+ ··· 2u + 1
c
3
u
47
+ 18u
45
+ ··· + 17u 7
c
4
u
47
+ 9u
46
+ ··· + 24u + 1
c
5
u
47
+ 3u
46
+ ··· 54u + 7
c
6
u
47
+ 3u
46
+ ··· + 8u 7
c
7
u
47
+ 2u
46
+ ··· + 225u + 31
c
8
7(7u
47
19u
46
+ ··· + u + 3)
c
9
7(7u
47
+ 3u
46
+ ··· + 235u + 101)
c
10
7(7u
47
4u
46
+ ··· 2u + 1)
c
11
u
47
2u
46
+ ··· + 225u 31
c
12
u
47
2u
46
+ ··· + 8u 7
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
y
47
+ 45y
46
+ ··· + 54y 1
c
2
y
47
+ 21y
46
+ ··· + 6y 1
c
3
y
47
+ 36y
46
+ ··· 957y 49
c
5
y
47
y
46
+ ··· + 18y 49
c
6
y
47
+ 5y
46
+ ··· + 666y 49
c
7
, c
11
y
47
36y
46
+ ··· + 7163y 961
c
8
49(49y
47
+ 1557y
46
+ ··· 89y 9)
c
9
49(49y
47
933y
46
+ ··· + 67547y 10201)
c
10
49(49y
47
492y
46
+ ··· + 6y 1)
c
12
y
47
+ 12y
46
+ ··· + 890y 49
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.412018 + 0.910241I
a = 1.42252 0.66754I
b = 0.558060 + 0.849328I
6.54125 + 1.94652I 0
u = 0.412018 0.910241I
a = 1.42252 + 0.66754I
b = 0.558060 0.849328I
6.54125 1.94652I 0
u = 1.01812
a = 0.484375
b = 0.550396
0.996416 0
u = 0.223770 + 0.933688I
a = 1.40464 + 0.47122I
b = 0.780531 0.672186I
6.48800 3.47650I 0
u = 0.223770 0.933688I
a = 1.40464 0.47122I
b = 0.780531 + 0.672186I
6.48800 + 3.47650I 0
u = 0.705497 + 0.632108I
a = 0.971516 0.328892I
b = 0.775536 0.758515I
2.16006 + 2.92152I 0
u = 0.705497 0.632108I
a = 0.971516 + 0.328892I
b = 0.775536 + 0.758515I
2.16006 2.92152I 0
u = 0.989830 + 0.380257I
a = 0.392650 0.734119I
b = 0.471294 + 0.646379I
2.02922 1.05222I 0
u = 0.989830 0.380257I
a = 0.392650 + 0.734119I
b = 0.471294 0.646379I
2.02922 + 1.05222I 0
u = 0.135894 + 1.069300I
a = 0.985232 0.461365I
b = 1.01602 1.43939I
6.87959 4.14294I 0
29
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.135894 1.069300I
a = 0.985232 + 0.461365I
b = 1.01602 + 1.43939I
6.87959 + 4.14294I 0
u = 0.089327 + 0.898687I
a = 0.18193 + 1.57892I
b = 0.093583 + 1.280180I
0.92228 5.25356I 0
u = 0.089327 0.898687I
a = 0.18193 1.57892I
b = 0.093583 1.280180I
0.92228 + 5.25356I 0
u = 0.240473 + 0.863597I
a = 0.007559 0.745241I
b = 0.02111 2.30870I
1.44973 + 1.40069I 0
u = 0.240473 0.863597I
a = 0.007559 + 0.745241I
b = 0.02111 + 2.30870I
1.44973 1.40069I 0
u = 0.520102 + 0.987359I
a = 0.781632 0.361785I
b = 1.161450 + 0.628275I
5.23817 11.80400I 0
u = 0.520102 0.987359I
a = 0.781632 + 0.361785I
b = 1.161450 0.628275I
5.23817 + 11.80400I 0
u = 0.038793 + 1.181960I
a = 1.18653 + 0.84951I
b = 0.076391 + 0.811011I
7.81681 + 2.19589I 0
u = 0.038793 1.181960I
a = 1.18653 0.84951I
b = 0.076391 0.811011I
7.81681 2.19589I 0
u = 0.341055 + 0.741938I
a = 1.42904 0.17709I
b = 0.226596 + 0.299849I
0.11203 + 3.05747I 0. 3.40124I
30
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.341055 0.741938I
a = 1.42904 + 0.17709I
b = 0.226596 0.299849I
0.11203 3.05747I 0. + 3.40124I
u = 0.553362 + 0.595850I
a = 0.107835 + 0.839501I
b = 0.53642 + 1.31016I
1.22743 + 2.05951I 0. 10.30717I
u = 0.553362 0.595850I
a = 0.107835 0.839501I
b = 0.53642 1.31016I
1.22743 2.05951I 0. + 10.30717I
u = 0.182998 + 1.249280I
a = 1.57896 0.36075I
b = 0.524420 0.327548I
2.44370 5.27249I 0
u = 0.182998 1.249280I
a = 1.57896 + 0.36075I
b = 0.524420 + 0.327548I
2.44370 + 5.27249I 0
u = 0.400232 + 1.208590I
a = 0.302761 + 0.071526I
b = 0.457496 + 0.971975I
6.58603 + 2.06901I 0
u = 0.400232 1.208590I
a = 0.302761 0.071526I
b = 0.457496 0.971975I
6.58603 2.06901I 0
u = 0.247457 + 1.285890I
a = 1.182790 0.654090I
b = 0.840149 0.785884I
2.69980 + 5.44315I 0
u = 0.247457 1.285890I
a = 1.182790 + 0.654090I
b = 0.840149 + 0.785884I
2.69980 5.44315I 0
u = 0.455780 + 1.247860I
a = 1.107690 + 0.040679I
b = 0.031073 0.849645I
7.87234 + 1.71896I 0
31
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.455780 1.247860I
a = 1.107690 0.040679I
b = 0.031073 + 0.849645I
7.87234 1.71896I 0
u = 1.308270 + 0.356644I
a = 0.607147 0.237038I
b = 0.954653 + 1.032190I
1.26678 + 4.91375I 0
u = 1.308270 0.356644I
a = 0.607147 + 0.237038I
b = 0.954653 1.032190I
1.26678 4.91375I 0
u = 0.55919 + 1.30075I
a = 0.960228 0.331950I
b = 0.726716 1.005470I
1.17531 + 6.67830I 0
u = 0.55919 1.30075I
a = 0.960228 + 0.331950I
b = 0.726716 + 1.005470I
1.17531 6.67830I 0
u = 0.12456 + 1.46073I
a = 0.249936 + 0.211601I
b = 0.422778 0.049882I
0.87310 + 4.34938I 0
u = 0.12456 1.46073I
a = 0.249936 0.211601I
b = 0.422778 + 0.049882I
0.87310 4.34938I 0
u = 0.49504 + 1.42097I
a = 0.955766 + 0.536199I
b = 0.74785 + 1.44856I
6.66035 + 10.78180I 0
u = 0.49504 1.42097I
a = 0.955766 0.536199I
b = 0.74785 1.44856I
6.66035 10.78180I 0
u = 0.07391 + 1.60851I
a = 0.202619 + 0.885423I
b = 0.076585 + 0.735718I
8.82247 + 3.67521I 0
32
Solutions to I
u
2
1(vol +
1CS) Cusp shape
u = 0.07391 1.60851I
a = 0.202619 0.885423I
b = 0.076585 0.735718I
8.82247 3.67521I 0
u = 0.052718 + 0.214136I
a = 2.11870 + 4.04015I
b = 0.21971 + 1.54002I
0.00214 + 6.06285I 4.35516 7.15209I
u = 0.052718 0.214136I
a = 2.11870 4.04015I
b = 0.21971 1.54002I
0.00214 6.06285I 4.35516 + 7.15209I
u = 0.1351330 + 0.0076911I
a = 8.29170 + 3.63261I
b = 0.379756 0.525143I
1.59156 + 3.02581I 2.47079 1.76793I
u = 0.1351330 0.0076911I
a = 8.29170 3.63261I
b = 0.379756 + 0.525143I
1.59156 3.02581I 2.47079 + 1.76793I
u = 0.43014 + 2.32325I
a = 0.041396 0.137872I
b = 0.149665 0.533653I
7.71685 + 5.48093I 0
u = 0.43014 2.32325I
a = 0.041396 + 0.137872I
b = 0.149665 + 0.533653I
7.71685 5.48093I 0
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
47
9u
46
+ ··· + 24u 1)(u
183
+ 4u
182
+ ··· 183798u + 52461)
c
2
(u
47
+ u
46
+ ··· 2u + 1)(u
183
2u
182
+ ··· 318294u 40021)
c
3
(u
47
+ 18u
45
+ ··· + 17u 7)(u
183
+ u
182
+ ··· + 2518528u 157696)
c
4
(u
47
+ 9u
46
+ ··· + 24u + 1)(u
183
+ 4u
182
+ ··· 183798u + 52461)
c
5
(u
47
+ 3u
46
+ ··· 54u + 7)(u
183
+ 2u
182
+ ··· 626724u 79331)
c
6
(u
47
+ 3u
46
+ ··· + 8u 7)(u
183
2u
182
+ ··· + 1244u + 203)
c
7
(u
47
+ 2u
46
+ ··· + 225u + 31)
· (u
183
3u
182
+ ··· 13392267u 702451)
c
8
49(7u
47
19u
46
+ ··· + u + 3)
· (7u
183
18u
182
+ ··· + 21249125u + 234650)
c
9
49(7u
47
+ 3u
46
+ ··· + 235u + 101)
· (7u
183
34u
182
+ ··· + 28034831u 1352596)
c
10
49(7u
47
4u
46
+ ··· 2u + 1)(7u
183
+ u
182
+ ··· + 354748u + 24677)
c
11
(u
47
2u
46
+ ··· + 225u 31)
· (u
183
3u
182
+ ··· 13392267u 702451)
c
12
(u
47
2u
46
+ ··· + 8u 7)(u
183
u
182
+ ··· + 9088u 448)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
4
(y
47
+ 45y
46
+ ··· + 54y 1)
· (y
183
+ 142y
182
+ ··· 132303001266y 2752156521)
c
2
(y
47
+ 21y
46
+ ··· + 6y 1)
· (y
183
+ 2y
182
+ ··· + 214292514570y 1601680441)
c
3
(y
47
+ 36y
46
+ ··· 957y 49)
· (y
183
+ 57y
182
+ ··· 1746473320448y 24868028416)
c
5
(y
47
y
46
+ ··· + 18y 49)
· (y
183
20y
182
+ ··· + 171767282162y 6293407561)
c
6
(y
47
+ 5y
46
+ ··· + 666y 49)
· (y
183
6y
182
+ ··· + 3080998y 41209)
c
7
, c
11
(y
47
36y
46
+ ··· + 7163y 961)
· (y
183
151y
182
+ ··· + 52196002203823y 493437407401)
c
8
2401(49y
47
+ 1557y
46
+ ··· 89y 9)
· (49y
183
+ 3834y
182
+ ··· + 529210869055025y 55060622500)
c
9
2401(49y
47
933y
46
+ ··· + 67547y 10201)
· (49y
183
2136y
182
+ ··· + 122950525332321y 1829515939216)
c
10
2401(49y
47
492y
46
+ ··· + 6y 1)
· (49y
183
2479y
182
+ ··· + 57523575206y 608954329)
c
12
(y
47
+ 12y
46
+ ··· + 890y 49)
· (y
183
+ 25y
182
+ ··· + 604160y 200704)
35