12a
0928
(K12a
0928
)
A knot diagram
1
Linearized knot diagam
4 6 9 11 12 2 5 1 3 8 7 10
Solving Sequence
2,7
6
3,12
5 8 11 4 1 10 9
c
6
c
2
c
5
c
7
c
11
c
4
c
1
c
10
c
9
c
3
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.47919 × 10
1912
u
223
− 1.05500 × 10
1912
u
222
+ ··· + 3.20851 × 10
1913
b + 2.03884 × 10
1918
,
− 2.76178 × 10
1918
u
223
+ 3.34651 × 10
1917
u
222
+ ··· + 3.27326 × 10
1919
a − 7.16190 × 10
1923
,
u
224
+ 58u
222
+ ··· + 10407259u − 1020181i
I
u
2
= h5.94368 × 10
106
u
69
+ 5.99927 × 10
103
u
68
+ ··· + 2.96461 × 10
103
b + 2.35908 × 10
107
,
6.45672 × 10
107
u
69
+ 8.20316 × 10
107
u
68
+ ··· + 2.96461 × 10
103
a − 4.17631 × 10
107
, u
70
+ u
69
+ ··· + 4u − 1i
* 2 irreducible components of dim
C
= 0, with total 294 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
= h1.48 × 10
1912
u
223
− 1.06 × 10
1912
u
222
+ · · · + 3.21 × 10
1913
b + 2.04 ×
10
1918
, −2.76 × 10
1918
u
223
+ 3.35 × 10
1917
u
222
+ · · · + 3.27 × 10
1919
a −
7.16 × 10
1923
, u
224
+ 58u
222
+ · · · + 10407259u − 1020181i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
12
=
0.0843742u
223
− 0.0102238u
222
+ ··· − 396537.u + 21880.0
−0.0461021u
223
+ 0.0328815u
222
+ ··· + 736214.u − 63544.8
a
5
=
0.0335478u
223
+ 0.0433988u
222
+ ··· + 897140.u − 94669.5
−0.0226919u
223
− 0.0140044u
222
+ ··· − 331627.u + 37274.6
a
8
=
0.111918u
223
+ 0.00602668u
222
+ ··· − 102353.u − 15422.6
0.0812510u
223
− 0.0732771u
222
+ ··· − 1.63911 × 10
6
u + 144541.
a
11
=
0.0382721u
223
+ 0.0226577u
222
+ ··· + 339677.u − 41664.8
−0.0461021u
223
+ 0.0328815u
222
+ ··· + 736214.u − 63544.8
a
4
=
−0.0939944u
223
+ 0.0913905u
222
+ ··· + 2.12056 × 10
6
u − 188627.
−0.0767902u
223
+ 0.0620023u
222
+ ··· + 1.31570 × 10
6
u − 114559.
a
1
=
0.161572u
223
− 0.112029u
222
+ ··· − 2.52455 × 10
6
u + 214159.
0.100309u
223
− 0.0852634u
222
+ ··· − 1.93144 × 10
6
u + 168230.
a
10
=
−0.0343535u
223
+ 0.00304065u
222
+ ··· + 24150.1u + 1722.80
−0.0440112u
223
− 0.0906800u
222
+ ··· − 1.79462 × 10
6
u + 184517.
a
9
=
−0.0477589u
223
− 0.0432239u
222
+ ··· − 884137.u + 94093.1
−0.0523464u
223
− 0.113465u
222
+ ··· − 2.23509 × 10
6
u + 229689.
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.160781u
223
+ 0 .0842712u
222
+ ··· + 3.15422 × 10
6
u − 282054.
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
224
− 6u
223
+ ··· − 44884222454179u + 3701456034894
c
2
, c
6
u
224
+ 58u
222
+ ··· − 10407259u − 1020181
c
3
, c
9
u
224
+ 70u
222
+ ··· − 41463065u − 6221089
c
4
u
224
+ 3u
223
+ ··· + 130u + 3
c
5
u
224
+ u
223
+ ··· − 77486276384u − 21859583968
c
7
u
224
+ 7u
223
+ ··· + 147u + 4
c
8
u
224
− 18u
222
+ ··· + 104743724u − 8194483
c
10
u
224
+ 18u
223
+ ··· + 274516829u + 44605981
c
11
u
224
+ 10u
223
+ ··· − 88u + 1
c
12
u
224
+ 17u
223
+ ··· + 1907648737u − 198403544
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
224
− 44y
223
+ ··· − 4.74 × 10
26
y + 1.37 × 10
25
c
2
, c
6
y
224
+ 116y
223
+ ··· + 49650999012427y + 1040769272761
c
3
, c
9
y
224
+ 140y
223
+ ··· + 1546004300630517y + 38701948345921
c
4
y
224
+ 19y
223
+ ··· − 1648y + 9
c
5
y
224
− 11y
223
+ ··· − 6.27 × 10
22
y + 4.78 × 10
20
c
7
y
224
+ y
223
+ ··· + 1687y + 16
c
8
y
224
− 36y
223
+ ··· − 2069920790809914y + 67149551637289
c
10
y
224
+ 44y
223
+ ··· + 260712383021021931y + 1989693540972361
c
11
y
224
− 10y
223
+ ··· − 794y + 1
c
12
y
224
− 65y
223
+ ··· − 2773728249316168385y + 39363966271759936
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.246680 + 0.968079I
a = −0.193061 + 0.324629I
b = 0.60379 − 1.46738I
−0.68120 − 3.11872I 0
u = −0.246680 − 0.968079I
a = −0.193061 − 0.324629I
b = 0.60379 + 1.46738I
−0.68120 + 3.11872I 0
u = −0.993198 + 0.072659I
a = −0.0505007 − 0.0219220I
b = −0.330285 + 0.675026I
2.53407 − 1.20893I 0
u = −0.993198 − 0.072659I
a = −0.0505007 + 0.0219220I
b = −0.330285 − 0.675026I
2.53407 + 1.20893I 0
u = 0.073702 + 1.007280I
a = 1.013460 + 0.933734I
b = −0.47380 − 1.60126I
−5.48416 + 2.75086I 0
u = 0.073702 − 1.007280I
a = 1.013460 − 0.933734I
b = −0.47380 + 1.60126I
−5.48416 − 2.75086I 0
u = 0.198193 + 0.994831I
a = −0.99611 − 1.40905I
b = 1.023280 + 0.553505I
−5.27316 − 2.46423I 0
u = 0.198193 − 0.994831I
a = −0.99611 + 1.40905I
b = 1.023280 − 0.553505I
−5.27316 + 2.46423I 0
u = 0.830253 + 0.523341I
a = −0.0454747 + 0.0619247I
b = 0.833881 + 1.073070I
−0.01144 − 4.15724I 0
u = 0.830253 − 0.523341I
a = −0.0454747 − 0.0619247I
b = 0.833881 − 1.073070I
−0.01144 + 4.15724I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.600508 + 0.826764I
a = −2.40079 − 0.87774I
b = 1.028710 − 0.931482I
−0.73254 + 9.72249I 0
u = 0.600508 − 0.826764I
a = −2.40079 + 0.87774I
b = 1.028710 + 0.931482I
−0.73254 − 9.72249I 0
u = 0.206091 + 0.954631I
a = −2.03538 + 0.62276I
b = 0.70426 − 1.63563I
−3.19125 + 3.66430I 0
u = 0.206091 − 0.954631I
a = −2.03538 − 0.62276I
b = 0.70426 + 1.63563I
−3.19125 − 3.66430I 0
u = −0.883266 + 0.410614I
a = 0.242310 − 0.121944I
b = −0.402660 − 0.822752I
2.37092 − 4.94967I 0
u = −0.883266 − 0.410614I
a = 0.242310 + 0.121944I
b = −0.402660 + 0.822752I
2.37092 + 4.94967I 0
u = 0.269160 + 0.993396I
a = −2.23684 − 0.63348I
b = 1.89695 + 0.00675I
−8.32522 + 0.93037I 0
u = 0.269160 − 0.993396I
a = −2.23684 + 0.63348I
b = 1.89695 − 0.00675I
−8.32522 − 0.93037I 0
u = 0.687380 + 0.677174I
a = −0.263852 − 0.527823I
b = −0.312952 + 0.077026I
−4.65097 − 1.88430I 0
u = 0.687380 − 0.677174I
a = −0.263852 + 0.527823I
b = −0.312952 − 0.077026I
−4.65097 + 1.88430I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.169309 + 1.022710I
a = 1.94395 − 1.23637I
b = −1.88125 + 0.42798I
−9.27992 − 0.52672I 0
u = −0.169309 − 1.022710I
a = 1.94395 + 1.23637I
b = −1.88125 − 0.42798I
−9.27992 + 0.52672I 0
u = −0.420078 + 0.857739I
a = 1.47310 − 1.05146I
b = −0.261401 + 0.064373I
−1.79828 − 2.82980I 0
u = −0.420078 − 0.857739I
a = 1.47310 + 1.05146I
b = −0.261401 − 0.064373I
−1.79828 + 2.82980I 0
u = −0.534871 + 0.914963I
a = 0.885710 + 0.057814I
b = −0.728001 + 0.844098I
−0.468694 + 0.806213I 0
u = −0.534871 − 0.914963I
a = 0.885710 − 0.057814I
b = −0.728001 − 0.844098I
−0.468694 − 0.806213I 0
u = 1.040620 + 0.234862I
a = −0.0077561 − 0.0772805I
b = −0.907908 − 0.960018I
0.41796 − 9.89358I 0
u = 1.040620 − 0.234862I
a = −0.0077561 + 0.0772805I
b = −0.907908 + 0.960018I
0.41796 + 9.89358I 0
u = 0.387986 + 0.847531I
a = −0.407522 + 0.326223I
b = 0.233801 − 1.362520I
−2.07571 + 8.67551I 0
u = 0.387986 − 0.847531I
a = −0.407522 − 0.326223I
b = 0.233801 + 1.362520I
−2.07571 − 8.67551I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.372067 + 1.002120I
a = 0.08672 − 1.64461I
b = −0.190586 − 0.646327I
−1.39310 − 6.26746I 0
u = −0.372067 − 1.002120I
a = 0.08672 + 1.64461I
b = −0.190586 + 0.646327I
−1.39310 + 6.26746I 0
u = −0.031498 + 0.927638I
a = −0.688086 − 0.902761I
b = 0.512754 − 0.957496I
−4.94344 + 2.75167I 0
u = −0.031498 − 0.927638I
a = −0.688086 + 0.902761I
b = 0.512754 + 0.957496I
−4.94344 − 2.75167I 0
u = 0.093339 + 0.922140I
a = 1.91399 − 0.46762I
b = −0.508987 + 1.155420I
−2.44308 − 2.20778I 0
u = 0.093339 − 0.922140I
a = 1.91399 + 0.46762I
b = −0.508987 − 1.155420I
−2.44308 + 2.20778I 0
u = 0.325789 + 1.036390I
a = 2.13653 − 0.24101I
b = −1.23830 + 1.06149I
2.01558 + 5.36344I 0
u = 0.325789 − 1.036390I
a = 2.13653 + 0.24101I
b = −1.23830 − 1.06149I
2.01558 − 5.36344I 0
u = −0.801242 + 0.738432I
a = −0.178862 + 0.150998I
b = −0.823534 + 1.030560I
−3.66233 + 0.11803I 0
u = −0.801242 − 0.738432I
a = −0.178862 − 0.150998I
b = −0.823534 − 1.030560I
−3.66233 − 0.11803I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.061000 + 0.269022I
a = 0.587269 − 1.254070I
b = 0.88951 − 1.35828I
−3.15631 − 7.66459I 0
u = −1.061000 − 0.269022I
a = 0.587269 + 1.254070I
b = 0.88951 + 1.35828I
−3.15631 + 7.66459I 0
u = 0.984138 + 0.481871I
a = 0.041404 − 0.337479I
b = −0.240164 + 0.513956I
−3.49402 + 4.72460I 0
u = 0.984138 − 0.481871I
a = 0.041404 + 0.337479I
b = −0.240164 − 0.513956I
−3.49402 − 4.72460I 0
u = −0.965922 + 0.518712I
a = 0.550099 + 0.122921I
b = 0.031852 + 0.468285I
0.83790 − 3.82553I 0
u = −0.965922 − 0.518712I
a = 0.550099 − 0.122921I
b = 0.031852 − 0.468285I
0.83790 + 3.82553I 0
u = 1.076060 + 0.305936I
a = −0.645958 + 0.120868I
b = −0.0756926 + 0.0281362I
1.21896 + 2.81927I 0
u = 1.076060 − 0.305936I
a = −0.645958 − 0.120868I
b = −0.0756926 − 0.0281362I
1.21896 − 2.81927I 0
u = 0.551102 + 0.982649I
a = −0.87510 − 1.12978I
b = 1.021070 − 0.213814I
−6.43001 + 5.35045I 0
u = 0.551102 − 0.982649I
a = −0.87510 + 1.12978I
b = 1.021070 + 0.213814I
−6.43001 − 5.35045I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.726282 + 0.868802I
a = 0.547760 − 0.513988I
b = 0.045530 + 0.803959I
−2.18108 − 4.43327I 0
u = 0.726282 − 0.868802I
a = 0.547760 + 0.513988I
b = 0.045530 − 0.803959I
−2.18108 + 4.43327I 0
u = 0.612237 + 0.954801I
a = −1.94166 − 0.70885I
b = 0.95526 − 1.48372I
−2.60012 + 4.56433I 0
u = 0.612237 − 0.954801I
a = −1.94166 + 0.70885I
b = 0.95526 + 1.48372I
−2.60012 − 4.56433I 0
u = 0.161606 + 1.136140I
a = 1.78787 − 0.21828I
b = −1.225740 + 0.010475I
−9.87289 − 0.17709I 0
u = 0.161606 − 1.136140I
a = 1.78787 + 0.21828I
b = −1.225740 − 0.010475I
−9.87289 + 0.17709I 0
u = −0.773781 + 0.847591I
a = −0.283499 − 0.078158I
b = 0.093732 + 0.602934I
0.855479 − 0.688485I 0
u = −0.773781 − 0.847591I
a = −0.283499 + 0.078158I
b = 0.093732 − 0.602934I
0.855479 + 0.688485I 0
u = −0.058290 + 0.849363I
a = −0.163991 + 0.617662I
b = −0.181704 + 1.201700I
1.59962 + 1.42906I 0
u = −0.058290 − 0.849363I
a = −0.163991 − 0.617662I
b = −0.181704 − 1.201700I
1.59962 − 1.42906I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.412663 + 1.075000I
a = −0.94419 − 1.18316I
b = 1.44435 + 0.63921I
−3.47884 + 1.62067I 0
u = 0.412663 − 1.075000I
a = −0.94419 + 1.18316I
b = 1.44435 − 0.63921I
−3.47884 − 1.62067I 0
u = −0.538777 + 1.018620I
a = 1.40680 − 0.93950I
b = −0.494615 − 0.711948I
−0.37561 − 2.85297I 0
u = −0.538777 − 1.018620I
a = 1.40680 + 0.93950I
b = −0.494615 + 0.711948I
−0.37561 + 2.85297I 0
u = 0.748338 + 0.389432I
a = 0.110507 + 0.625641I
b = 0.491007 + 1.025150I
−0.19730 − 2.26153I 0
u = 0.748338 − 0.389432I
a = 0.110507 − 0.625641I
b = 0.491007 − 1.025150I
−0.19730 + 2.26153I 0
u = −1.145140 + 0.181052I
a = 0.151423 + 0.192948I
b = 0.883118 + 0.645457I
−3.67825 − 4.43839I 0
u = −1.145140 − 0.181052I
a = 0.151423 − 0.192948I
b = 0.883118 − 0.645457I
−3.67825 + 4.43839I 0
u = −0.491778 + 0.677742I
a = 0.371257 + 0.498664I
b = 0.000972 + 0.964042I
1.44781 − 0.33560I 0
u = −0.491778 − 0.677742I
a = 0.371257 − 0.498664I
b = 0.000972 − 0.964042I
1.44781 + 0.33560I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.536077 + 1.040720I
a = 1.48064 + 0.03491I
b = −0.236829 − 0.383144I
−1.16655 − 1.43810I 0
u = −0.536077 − 1.040720I
a = 1.48064 − 0.03491I
b = −0.236829 + 0.383144I
−1.16655 + 1.43810I 0
u = −0.421134 + 1.092790I
a = −1.99855 + 0.13083I
b = 0.888962 + 0.104506I
−3.47761 − 5.46656I 0
u = −0.421134 − 1.092790I
a = −1.99855 − 0.13083I
b = 0.888962 − 0.104506I
−3.47761 + 5.46656I 0
u = −0.532143 + 1.046040I
a = 1.321720 − 0.243005I
b = −0.513894 − 0.630575I
−0.50299 − 3.30103I 0
u = −0.532143 − 1.046040I
a = 1.321720 + 0.243005I
b = −0.513894 + 0.630575I
−0.50299 + 3.30103I 0
u = 0.463130 + 1.084280I
a = 0.0981589 + 0.0431803I
b = 0.473285 + 1.211760I
−3.37056 − 0.10788I 0
u = 0.463130 − 1.084280I
a = 0.0981589 − 0.0431803I
b = 0.473285 − 1.211760I
−3.37056 + 0.10788I 0
u = −0.461625 + 1.087320I
a = 1.60872 − 0.14645I
b = −0.764618 − 0.682787I
−0.61724 − 3.39050I 0
u = −0.461625 − 1.087320I
a = 1.60872 + 0.14645I
b = −0.764618 + 0.682787I
−0.61724 + 3.39050I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.345845 + 0.741963I
a = 2.54676 + 0.36452I
b = −0.047745 − 0.414225I
1.19324 − 3.09931I 0
u = −0.345845 − 0.741963I
a = 2.54676 − 0.36452I
b = −0.047745 + 0.414225I
1.19324 + 3.09931I 0
u = −0.585789 + 1.026770I
a = −0.510536 + 1.102190I
b = 0.355143 + 0.345808I
−2.56068 − 1.34414I 0
u = −0.585789 − 1.026770I
a = −0.510536 − 1.102190I
b = 0.355143 − 0.345808I
−2.56068 + 1.34414I 0
u = 0.295983 + 1.145430I
a = 1.12862 + 1.34384I
b = −1.77990 − 1.31248I
−3.15329 + 6.32542I 0
u = 0.295983 − 1.145430I
a = 1.12862 − 1.34384I
b = −1.77990 + 1.31248I
−3.15329 − 6.32542I 0
u = 0.496680 + 1.078890I
a = −2.17023 − 0.20384I
b = 0.78910 − 1.22720I
−2.99137 + 11.00130I 0
u = 0.496680 − 1.078890I
a = −2.17023 + 0.20384I
b = 0.78910 + 1.22720I
−2.99137 − 11.00130I 0
u = −0.167251 + 0.782085I
a = −3.14708 − 1.01296I
b = 1.20049 + 0.91877I
0.073817 + 1.053920I 0
u = −0.167251 − 0.782085I
a = −3.14708 + 1.01296I
b = 1.20049 − 0.91877I
0.073817 − 1.053920I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.769750 + 0.205672I
a = 1.149770 + 0.182551I
b = −0.639643 − 0.404851I
−4.28696 − 7.26017I 0
u = 0.769750 − 0.205672I
a = 1.149770 − 0.182551I
b = −0.639643 + 0.404851I
−4.28696 + 7.26017I 0
u = −0.287032 + 0.739916I
a = 3.00163 − 0.09737I
b = −1.224620 − 0.467825I
0.14527 − 4.44486I 0
u = −0.287032 − 0.739916I
a = 3.00163 + 0.09737I
b = −1.224620 + 0.467825I
0.14527 + 4.44486I 0
u = −0.545202 + 0.575390I
a = 0.096427 + 0.380426I
b = −0.034089 + 0.607824I
0.97461 − 1.07759I 0
u = −0.545202 − 0.575390I
a = 0.096427 − 0.380426I
b = −0.034089 − 0.607824I
0.97461 + 1.07759I 0
u = 0.065777 + 1.213450I
a = −1.97764 + 0.42102I
b = 2.15312 − 0.90985I
−8.78334 + 0.91079I 0
u = 0.065777 − 1.213450I
a = −1.97764 − 0.42102I
b = 2.15312 + 0.90985I
−8.78334 − 0.91079I 0
u = −0.295429 + 1.179420I
a = 1.86553 + 0.42298I
b = −0.826252 − 0.974004I
−2.75687 − 7.80298I 0
u = −0.295429 − 1.179420I
a = 1.86553 − 0.42298I
b = −0.826252 + 0.974004I
−2.75687 + 7.80298I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.492388 + 1.113220I
a = −0.820496 − 0.641785I
b = 0.364368 − 1.001360I
−2.86969 + 7.30630I 0
u = 0.492388 − 1.113220I
a = −0.820496 + 0.641785I
b = 0.364368 + 1.001360I
−2.86969 − 7.30630I 0
u = 0.571197 + 1.081530I
a = −1.79474 − 0.39573I
b = 0.651485 − 1.118090I
−2.20377 + 7.25367I 0
u = 0.571197 − 1.081530I
a = −1.79474 + 0.39573I
b = 0.651485 + 1.118090I
−2.20377 − 7.25367I 0
u = 0.372013 + 1.167670I
a = 0.128433 − 1.167000I
b = 0.072514 − 0.863652I
−4.44796 + 11.46850I 0
u = 0.372013 − 1.167670I
a = 0.128433 + 1.167000I
b = 0.072514 + 0.863652I
−4.44796 − 11.46850I 0
u = −0.146893 + 1.219220I
a = −1.53777 − 0.59995I
b = 0.953793 + 0.614516I
−5.96065 − 2.69863I 0
u = −0.146893 − 1.219220I
a = −1.53777 + 0.59995I
b = 0.953793 − 0.614516I
−5.96065 + 2.69863I 0
u = 0.471192 + 1.150570I
a = −1.48561 − 0.37876I
b = 0.470585 − 0.635642I
−2.67333 + 6.32063I 0
u = 0.471192 − 1.150570I
a = −1.48561 + 0.37876I
b = 0.470585 + 0.635642I
−2.67333 − 6.32063I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.498761 + 1.149980I
a = 1.95446 − 0.19606I
b = −1.16556 − 1.44151I
−6.48655 − 10.55080I 0
u = −0.498761 − 1.149980I
a = 1.95446 + 0.19606I
b = −1.16556 + 1.44151I
−6.48655 + 10.55080I 0
u = 0.531314 + 0.514967I
a = 0.223811 + 0.662767I
b = 0.590063 + 1.256420I
−1.20071 − 6.80269I 0
u = 0.531314 − 0.514967I
a = 0.223811 − 0.662767I
b = 0.590063 − 1.256420I
−1.20071 + 6.80269I 0
u = −0.113130 + 0.730306I
a = 0.82182 + 2.55487I
b = −0.002285 + 0.806086I
1.17951 − 1.67770I 0
u = −0.113130 − 0.730306I
a = 0.82182 − 2.55487I
b = −0.002285 − 0.806086I
1.17951 + 1.67770I 0
u = 0.043256 + 0.734570I
a = 0.480503 + 0.626911I
b = −0.55787 − 1.42393I
3.85392 − 3.34518I 0
u = 0.043256 − 0.734570I
a = 0.480503 − 0.626911I
b = −0.55787 + 1.42393I
3.85392 + 3.34518I 0
u = 0.262205 + 0.681425I
a = −0.047197 − 1.402260I
b = −0.194230 + 0.655425I
−4.60174 − 1.69992I 0
u = 0.262205 − 0.681425I
a = −0.047197 + 1.402260I
b = −0.194230 − 0.655425I
−4.60174 + 1.69992I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.425137 + 1.202770I
a = 0.694466 − 0.946977I
b = −1.36244 + 0.62267I
−7.02226 + 2.20334I 0
u = −0.425137 − 1.202770I
a = 0.694466 + 0.946977I
b = −1.36244 − 0.62267I
−7.02226 − 2.20334I 0
u = 0.381266 + 1.219640I
a = 1.20782 + 0.76737I
b = −0.491918 + 0.101771I
−8.29200 − 3.45008I 0
u = 0.381266 − 1.219640I
a = 1.20782 − 0.76737I
b = −0.491918 − 0.101771I
−8.29200 + 3.45008I 0
u = −0.303947 + 1.245790I
a = 1.44967 + 0.03066I
b = −0.66189 − 1.50075I
−8.36136 − 7.38004I 0
u = −0.303947 − 1.245790I
a = 1.44967 − 0.03066I
b = −0.66189 + 1.50075I
−8.36136 + 7.38004I 0
u = 0.685408 + 0.198921I
a = 0.86930 + 1.39221I
b = 0.688104 + 0.638943I
−0.32285 − 2.91065I 0
u = 0.685408 − 0.198921I
a = 0.86930 − 1.39221I
b = 0.688104 − 0.638943I
−0.32285 + 2.91065I 0
u = −0.011800 + 0.711455I
a = −0.540941 + 0.547454I
b = −0.362051 + 1.182340I
−0.36779 + 6.34467I 0
u = −0.011800 − 0.711455I
a = −0.540941 − 0.547454I
b = −0.362051 − 1.182340I
−0.36779 − 6.34467I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.613474 + 0.357942I
a = 0.081798 + 0.984318I
b = 0.303373 + 0.888900I
−0.20029 − 2.19351I 0
u = 0.613474 − 0.357942I
a = 0.081798 − 0.984318I
b = 0.303373 − 0.888900I
−0.20029 + 2.19351I 0
u = 0.533187 + 1.180110I
a = 1.82208 + 0.41244I
b = −0.849530 + 0.322092I
−7.15444 + 12.15980I 0
u = 0.533187 − 1.180110I
a = 1.82208 − 0.41244I
b = −0.849530 − 0.322092I
−7.15444 − 12.15980I 0
u = −1.262110 + 0.338329I
a = −0.032177 − 0.153567I
b = 1.03972 − 1.01261I
−3.6324 + 15.2890I 0
u = −1.262110 − 0.338329I
a = −0.032177 + 0.153567I
b = 1.03972 + 1.01261I
−3.6324 − 15.2890I 0
u = 0.015948 + 0.691726I
a = −1.38698 + 2.15721I
b = −0.129632 − 0.129260I
1.65657 − 1.44632I 0
u = 0.015948 − 0.691726I
a = −1.38698 − 2.15721I
b = −0.129632 + 0.129260I
1.65657 + 1.44632I 0
u = 0.633483 + 0.260774I
a = −0.509143 + 0.252585I
b = −0.634859 − 1.002890I
4.48696 − 1.95326I 0
u = 0.633483 − 0.260774I
a = −0.509143 − 0.252585I
b = −0.634859 + 1.002890I
4.48696 + 1.95326I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.272831 + 1.288940I
a = 0.297872 + 0.826579I
b = −0.203027 + 1.094510I
0.298758 + 0.944089I 0
u = −0.272831 − 1.288940I
a = 0.297872 − 0.826579I
b = −0.203027 − 1.094510I
0.298758 − 0.944089I 0
u = 0.399596 + 1.261780I
a = 1.65275 − 0.14033I
b = −0.921919 + 0.626215I
−8.33391 + 8.73755I 0
u = 0.399596 − 1.261780I
a = 1.65275 + 0.14033I
b = −0.921919 − 0.626215I
−8.33391 − 8.73755I 0
u = 0.107852 + 0.665948I
a = −2.61944 − 1.99770I
b = 0.206685 + 0.870608I
−5.15013 + 6.16964I 0
u = 0.107852 − 0.665948I
a = −2.61944 + 1.99770I
b = 0.206685 − 0.870608I
−5.15013 − 6.16964I 0
u = −1.090650 + 0.756662I
a = 0.639776 − 0.549553I
b = −0.903261 − 0.674634I
−2.27042 − 4.30552I 0
u = −1.090650 − 0.756662I
a = 0.639776 + 0.549553I
b = −0.903261 + 0.674634I
−2.27042 + 4.30552I 0
u = 0.636212 + 1.174320I
a = −1.76069 − 0.39586I
b = 1.01266 − 1.17777I
−2.06586 + 9.97892I 0
u = 0.636212 − 1.174320I
a = −1.76069 + 0.39586I
b = 1.01266 + 1.17777I
−2.06586 − 9.97892I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.416881 + 1.269060I
a = −1.264130 + 0.095481I
b = 0.418881 − 0.303502I
−2.63290 + 2.58438I 0
u = 0.416881 − 1.269060I
a = −1.264130 − 0.095481I
b = 0.418881 + 0.303502I
−2.63290 − 2.58438I 0
u = −0.267523 + 1.309470I
a = 0.575653 + 0.654771I
b = −0.196434 − 0.471548I
0.18137 − 2.36720I 0
u = −0.267523 − 1.309470I
a = 0.575653 − 0.654771I
b = −0.196434 + 0.471548I
0.18137 + 2.36720I 0
u = −1.305120 + 0.291104I
a = 0.300805 + 0.003968I
b = 1.25694 − 0.72303I
0.01756 + 6.30277I 0
u = −1.305120 − 0.291104I
a = 0.300805 − 0.003968I
b = 1.25694 + 0.72303I
0.01756 − 6.30277I 0
u = −0.525269 + 0.385880I
a = 0.070716 + 1.332270I
b = −0.470382 + 0.444795I
1.26884 − 1.48339I 0
u = −0.525269 − 0.385880I
a = 0.070716 − 1.332270I
b = −0.470382 − 0.444795I
1.26884 + 1.48339I 0
u = 0.756248 + 1.137050I
a = 0.574139 + 0.597517I
b = −0.487688 + 0.464056I
−5.84607 + 7.86736I 0
u = 0.756248 − 1.137050I
a = 0.574139 − 0.597517I
b = −0.487688 − 0.464056I
−5.84607 − 7.86736I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.182393 + 0.606334I
a = −3.95379 + 0.11196I
b = −0.1281800 − 0.0221979I
0.06534 + 3.37244I 0
u = −0.182393 − 0.606334I
a = −3.95379 − 0.11196I
b = −0.1281800 + 0.0221979I
0.06534 − 3.37244I 0
u = −0.459741 + 1.312380I
a = −0.838853 + 0.959911I
b = 1.81510 − 1.05440I
−7.8520 − 12.6206I 0
u = −0.459741 − 1.312380I
a = −0.838853 − 0.959911I
b = 1.81510 + 1.05440I
−7.8520 + 12.6206I 0
u = −0.431238 + 1.323450I
a = −1.58963 − 0.04089I
b = 1.26255 + 1.13111I
−8.52140 − 9.52828I 0
u = −0.431238 − 1.323450I
a = −1.58963 + 0.04089I
b = 1.26255 − 1.13111I
−8.52140 + 9.52828I 0
u = 0.445875 + 1.327470I
a = 1.43163 + 0.01170I
b = −1.40037 + 1.14203I
0.85623 + 5.74256I 0
u = 0.445875 − 1.327470I
a = 1.43163 − 0.01170I
b = −1.40037 − 1.14203I
0.85623 − 5.74256I 0
u = 0.607818 + 1.264870I
a = 1.65075 + 0.25554I
b = −1.14580 + 1.17186I
−2.7887 + 15.8025I 0
u = 0.607818 − 1.264870I
a = 1.65075 − 0.25554I
b = −1.14580 − 1.17186I
−2.7887 − 15.8025I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.27805 + 0.60603I
a = −0.146104 + 0.224821I
b = 0.94386 + 1.10052I
−0.03358 − 3.78894I 0
u = 1.27805 − 0.60603I
a = −0.146104 − 0.224821I
b = 0.94386 − 1.10052I
−0.03358 + 3.78894I 0
u = 0.541110 + 0.204810I
a = 0.807954 − 0.314360I
b = 0.939977 − 0.218141I
−4.66036 − 1.33200I 0
u = 0.541110 − 0.204810I
a = 0.807954 + 0.314360I
b = 0.939977 + 0.218141I
−4.66036 + 1.33200I 0
u = −0.82779 + 1.15691I
a = 1.37541 − 0.71850I
b = −1.18340 − 1.47680I
−4.60227 − 6.50869I 0
u = −0.82779 − 1.15691I
a = 1.37541 + 0.71850I
b = −1.18340 + 1.47680I
−4.60227 + 6.50869I 0
u = −0.555664 + 0.143550I
a = −1.013170 + 0.559770I
b = −0.823793 + 1.090880I
−3.71512 + 6.20223I 0
u = −0.555664 − 0.143550I
a = −1.013170 − 0.559770I
b = −0.823793 − 1.090880I
−3.71512 − 6.20223I 0
u = 0.25358 + 1.42061I
a = 0.751158 + 0.498575I
b = −1.000260 − 0.281419I
−5.23376 − 5.22767I 0
u = 0.25358 − 1.42061I
a = 0.751158 − 0.498575I
b = −1.000260 + 0.281419I
−5.23376 + 5.22767I 0
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.46733
a = −0.233106
b = −0.875352
6.18193 0
u = 0.48381 + 1.38976I
a = 0.727046 + 0.158786I
b = −0.495576 + 0.401554I
−7.25249 + 1.84102I 0
u = 0.48381 − 1.38976I
a = 0.727046 − 0.158786I
b = −0.495576 − 0.401554I
−7.25249 − 1.84102I 0
u = −0.63761 + 1.32870I
a = −0.784218 + 0.033635I
b = 0.488460 + 0.566997I
−1.78270 − 7.46289I 0
u = −0.63761 − 1.32870I
a = −0.784218 − 0.033635I
b = 0.488460 − 0.566997I
−1.78270 + 7.46289I 0
u = −0.43522 + 1.42925I
a = −0.793458 + 0.361648I
b = 1.269360 + 0.063373I
−8.20287 − 1.76835I 0
u = −0.43522 − 1.42925I
a = −0.793458 − 0.361648I
b = 1.269360 − 0.063373I
−8.20287 + 1.76835I 0
u = −0.70546 + 1.31811I
a = −1.51913 + 0.36739I
b = 1.12620 + 1.24805I
−6.7960 − 22.1883I 0
u = −0.70546 − 1.31811I
a = −1.51913 − 0.36739I
b = 1.12620 − 1.24805I
−6.7960 + 22.1883I 0
u = −0.66831 + 1.33745I
a = −1.38806 + 0.31132I
b = 1.35637 + 1.32490I
−3.44305 − 13.14780I 0
23
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.66831 − 1.33745I
a = −1.38806 − 0.31132I
b = 1.35637 − 1.32490I
−3.44305 + 13.14780I 0
u = 1.40417 + 0.53021I
a = 0.000852 − 0.313393I
b = 1.170460 − 0.002789I
−1.94802 + 4.15150I 0
u = 1.40417 − 0.53021I
a = 0.000852 + 0.313393I
b = 1.170460 + 0.002789I
−1.94802 − 4.15150I 0
u = 0.222480 + 0.418673I
a = 6.15847 − 1.32261I
b = 0.358924 + 0.182054I
−1.79636 − 8.53423I 0
u = 0.222480 − 0.418673I
a = 6.15847 + 1.32261I
b = 0.358924 − 0.182054I
−1.79636 + 8.53423I 0
u = 0.365997 + 0.275387I
a = −0.97724 − 1.76227I
b = 0.717839 − 0.678455I
−1.18942 + 1.81684I 0
u = 0.365997 − 0.275387I
a = −0.97724 + 1.76227I
b = 0.717839 + 0.678455I
−1.18942 − 1.81684I 0
u = 0.05517 + 1.54934I
a = 1.106760 − 0.363068I
b = −1.001050 + 0.599247I
−11.11790 − 1.04218I 0
u = 0.05517 − 1.54934I
a = 1.106760 + 0.363068I
b = −1.001050 − 0.599247I
−11.11790 + 1.04218I 0
u = 0.73082 + 1.37137I
a = 0.850689 + 0.078319I
b = −0.559933 + 0.614672I
−5.6646 + 13.5571I 0
24
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.73082 − 1.37137I
a = 0.850689 − 0.078319I
b = −0.559933 − 0.614672I
−5.6646 − 13.5571I 0
u = −0.269767 + 0.353128I
a = 0.48484 − 2.51325I
b = −0.722281 − 0.885047I
−3.86225 − 6.12919I 0
u = −0.269767 − 0.353128I
a = 0.48484 + 2.51325I
b = −0.722281 + 0.885047I
−3.86225 + 6.12919I 0
u = −0.53618 + 1.50336I
a = 0.721055 − 0.605608I
b = −1.64142 + 0.87039I
−5.61249 − 3.73477I 0
u = −0.53618 − 1.50336I
a = 0.721055 + 0.605608I
b = −1.64142 − 0.87039I
−5.61249 + 3.73477I 0
u = −0.279198 + 0.289095I
a = −2.69054 + 0.19491I
b = 0.664264 − 0.450741I
−1.16999 + 2.00817I 0
u = −0.279198 − 0.289095I
a = −2.69054 − 0.19491I
b = 0.664264 + 0.450741I
−1.16999 − 2.00817I 0
u = −0.71124 + 1.44445I
a = 1.353100 − 0.303817I
b = −1.09197 − 1.17534I
−4.68987 − 12.74780I 0
u = −0.71124 − 1.44445I
a = 1.353100 + 0.303817I
b = −1.09197 + 1.17534I
−4.68987 + 12.74780I 0
u = −0.11894 + 1.61464I
a = −1.227790 − 0.081891I
b = 2.25387 + 0.76162I
−7.44738 + 0.69252I 0
25
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.11894 − 1.61464I
a = −1.227790 + 0.081891I
b = 2.25387 − 0.76162I
−7.44738 − 0.69252I 0
u = 1.60681 + 0.36660I
a = 0.1256630 + 0.0253050I
b = −0.160106 − 0.193592I
−2.20812 − 5.89681I 0
u = 1.60681 − 0.36660I
a = 0.1256630 − 0.0253050I
b = −0.160106 + 0.193592I
−2.20812 + 5.89681I 0
u = 0.83413 + 1.43480I
a = −0.604837 − 0.246798I
b = 0.793409 − 0.155471I
−4.84907 + 3.92005I 0
u = 0.83413 − 1.43480I
a = −0.604837 + 0.246798I
b = 0.793409 + 0.155471I
−4.84907 − 3.92005I 0
u = −0.08945 + 1.65836I
a = −0.922109 + 0.339637I
b = 1.279050 − 0.567475I
−11.1429 + 9.7129I 0
u = −0.08945 − 1.65836I
a = −0.922109 − 0.339637I
b = 1.279050 + 0.567475I
−11.1429 − 9.7129I 0
u = −0.36246 + 1.62809I
a = −1.164320 − 0.129230I
b = 1.71363 + 1.96065I
−7.65889 + 0.65248I 0
u = −0.36246 − 1.62809I
a = −1.164320 + 0.129230I
b = 1.71363 − 1.96065I
−7.65889 − 0.65248I 0
u = 0.319394 + 0.055181I
a = −0.89799 − 4.03805I
b = −0.725631 − 0.554313I
−0.08719 + 3.72409I 4.53254 − 5.09970I
26
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.319394 − 0.055181I
a = −0.89799 + 4.03805I
b = −0.725631 + 0.554313I
−0.08719 − 3.72409I 4.53254 + 5.09970I
u = −1.75327 + 0.13607I
a = 0.117900 + 0.258891I
b = −1.25544 + 0.86603I
−0.43973 + 4.74595I 0
u = −1.75327 − 0.13607I
a = 0.117900 − 0.258891I
b = −1.25544 − 0.86603I
−0.43973 − 4.74595I 0
u = −1.94245
a = −0.0428406
b = −0.0468294
2.59680 0
27
II. I
u
2
= h5.94 × 10
106
u
69
+ 6.00 × 10
103
u
68
+ · · · + 2.96 × 10
103
b + 2.36 ×
10
107
, 6.46 × 10
107
u
69
+ 8.20 × 10
107
u
68
+ · · · + 2.96 × 10
103
a − 4.18 ×
10
107
, u
70
+ u
69
+ · · · + 4u − 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
12
=
−21779.3u
69
− 27670.3u
68
+ ··· + 27602.9u + 14087.2
−2004.88u
69
− 2.02363u
68
+ ··· + 36537.1u − 7957.46
a
5
=
7748.66u
69
− 3853.34u
68
+ ··· − 177933.u + 44622.9
−3556.49u
69
− 8980.02u
68
+ ··· − 49423.9u + 17086.6
a
8
=
−6493.58u
69
+ 7743.33u
68
+ ··· + 191814.u − 49573.2
7.02904u
69
+ 11521.2u
68
+ ··· + 139274.u − 38825.4
a
11
=
−23784.2u
69
− 27672.3u
68
+ ··· + 64139.9u + 6129.77
−2004.88u
69
− 2.02363u
68
+ ··· + 36537.1u − 7957.46
a
4
=
13522.5u
69
+ 740.226u
68
+ ··· − 214173.u + 46565.3
−5906.22u
69
− 17538.2u
68
+ ··· − 115244.u + 37675.1
a
1
=
−10698.1u
69
+ 7339.12u
68
+ ··· + 271182.u − 65792.7
11334.4u
69
+ 12420.7u
68
+ ··· − 29169.2u − 2867.32
a
10
=
−17106.6u
69
− 8912.51u
68
+ ··· + 194116.u − 36615.3
2656.63u
69
+ 3213.94u
68
+ ··· + 1220.29u − 2819.00
a
9
=
−12371.5u
69
− 5450.55u
68
+ ··· + 155814.u − 30557.9
5851.23u
69
+ 5335.08u
68
+ ··· − 27254.3u + 1965.26
(ii) Obstruction class = 1
(iii) Cusp Shapes = 84853.1u
69
+ 87918.3u
68
+ ··· − 376170.u + 29127.9
28
(iv) u-Polynomials at the component
29
Crossings u-Polynomials at each crossing
c
1
u
70
− 15u
69
+ ··· − 35u + 1
c
2
u
70
− u
69
+ ··· − 4u − 1
c
3
u
70
+ u
69
+ ··· − 2u − 1
c
4
u
70
+ 2u
69
+ ··· + 3u + 1
c
5
u
70
+ 2u
69
+ ··· + 208u + 32
c
6
u
70
+ u
69
+ ··· + 4u − 1
c
7
u
70
− 14u
69
+ ··· + 6u + 1
c
8
u
70
+ u
69
+ ··· − 15u − 1
c
9
u
70
− u
69
+ ··· + 2u − 1
c
10
u
70
− 3u
69
+ ··· − 22u + 1
c
11
u
70
+ 5u
69
+ ··· − u + 1
c
12
u
70
+ 18u
69
+ ··· + 92u − 1
30
31
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
70
+ 7y
69
+ ··· − 7y + 1
c
2
, c
6
y
70
+ 27y
69
+ ··· + 66y + 1
c
3
, c
9
y
70
+ 39y
69
+ ··· + 28y + 1
c
4
y
70
+ 14y
69
+ ··· + 27y + 1
c
5
y
70
+ 24y
69
+ ··· − 46336y + 1024
c
7
y
70
− 20y
69
+ ··· + 20y + 1
c
8
y
70
+ 11y
69
+ ··· − 79y + 1
c
10
y
70
− 9y
69
+ ··· − 82y + 1
c
11
y
70
− 11y
69
+ ··· − 83y + 1
c
12
y
70
− 38y
69
+ ··· − 10464y + 1
32
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.491454 + 0.869687I
a = −0.110678 + 0.470871I
b = 0.485599 + 0.817678I
−1.62007 + 0.01002I 0
u = 0.491454 − 0.869687I
a = −0.110678 − 0.470871I
b = 0.485599 − 0.817678I
−1.62007 − 0.01002I 0
u = 0.663869 + 0.760182I
a = −1.27783 − 0.70954I
b = 0.790120 − 0.854876I
−1.75354 + 3.70214I 0
u = 0.663869 − 0.760182I
a = −1.27783 + 0.70954I
b = 0.790120 + 0.854876I
−1.75354 − 3.70214I 0
u = 0.469359 + 0.911562I
a = −2.20207 − 0.70157I
b = 0.695238 − 0.683299I
−1.72329 + 3.90520I 0
u = 0.469359 − 0.911562I
a = −2.20207 + 0.70157I
b = 0.695238 + 0.683299I
−1.72329 − 3.90520I 0
u = 0.906849 + 0.341238I
a = −0.853095 + 0.224739I
b = −0.212390 + 0.258669I
2.25953 + 3.10602I 0
u = 0.906849 − 0.341238I
a = −0.853095 − 0.224739I
b = −0.212390 − 0.258669I
2.25953 − 3.10602I 0
u = −0.291405 + 0.921679I
a = 2.24907 − 0.80022I
b = −1.81811 + 0.15076I
−8.67989 − 1.22092I 0
u = −0.291405 − 0.921679I
a = 2.24907 + 0.80022I
b = −1.81811 − 0.15076I
−8.67989 + 1.22092I 0
33
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.511298 + 0.914389I
a = 0.379758 − 0.575661I
b = −0.440341 − 0.913821I
−4.13898 − 7.74792I 0
u = −0.511298 − 0.914389I
a = 0.379758 + 0.575661I
b = −0.440341 + 0.913821I
−4.13898 + 7.74792I 0
u = 0.067908 + 1.058730I
a = −2.22823 − 0.61404I
b = 2.11406 + 0.16850I
−8.49617 + 0.22534I 0
u = 0.067908 − 1.058730I
a = −2.22823 + 0.61404I
b = 2.11406 − 0.16850I
−8.49617 − 0.22534I 0
u = −0.366171 + 0.998100I
a = 0.801218 − 1.158340I
b = −0.805887 + 0.999387I
−4.27242 − 3.63656I 0
u = −0.366171 − 0.998100I
a = 0.801218 + 1.158340I
b = −0.805887 − 0.999387I
−4.27242 + 3.63656I 0
u = 0.412565 + 0.826079I
a = −1.94271 − 0.47427I
b = 0.183127 − 0.835291I
−1.56567 + 4.23004I 0
u = 0.412565 − 0.826079I
a = −1.94271 + 0.47427I
b = 0.183127 + 0.835291I
−1.56567 − 4.23004I 0
u = −0.772814 + 0.772773I
a = 1.59190 − 1.29173I
b = −0.30888 − 1.42061I
−3.93350 − 7.14563I 0
u = −0.772814 − 0.772773I
a = 1.59190 + 1.29173I
b = −0.30888 + 1.42061I
−3.93350 + 7.14563I 0
34
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.419592 + 1.076060I
a = 0.353709 − 1.036150I
b = −0.854387 + 0.525630I
−4.87731 + 3.63784I 0
u = −0.419592 − 1.076060I
a = 0.353709 + 1.036150I
b = −0.854387 − 0.525630I
−4.87731 − 3.63784I 0
u = 0.239118 + 1.140130I
a = −0.910787 + 0.982190I
b = 0.159331 − 0.396209I
−0.04035 + 2.12403I 0
u = 0.239118 − 1.140130I
a = −0.910787 − 0.982190I
b = 0.159331 + 0.396209I
−0.04035 − 2.12403I 0
u = 0.346917 + 1.125020I
a = 0.951138 + 0.040573I
b = −0.855676 − 0.403636I
−2.41866 + 5.60421I 0
u = 0.346917 − 1.125020I
a = 0.951138 − 0.040573I
b = −0.855676 + 0.403636I
−2.41866 − 5.60421I 0
u = 0.202913 + 1.181680I
a = −0.272570 + 1.084270I
b = 0.140898 + 1.021230I
−0.086149 − 0.765244I 0
u = 0.202913 − 1.181680I
a = −0.272570 − 1.084270I
b = 0.140898 − 1.021230I
−0.086149 + 0.765244I 0
u = 0.512388 + 1.086440I
a = −1.251310 − 0.228801I
b = 0.274240 − 0.305664I
−0.20527 + 1.65852I 0
u = 0.512388 − 1.086440I
a = −1.251310 + 0.228801I
b = 0.274240 + 0.305664I
−0.20527 − 1.65852I 0
35
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.588792 + 0.463416I
a = 0.767233 − 1.013960I
b = 0.581759 − 0.633168I
−3.23850 + 3.36650I 0
u = 0.588792 − 0.463416I
a = 0.767233 + 1.013960I
b = 0.581759 + 0.633168I
−3.23850 − 3.36650I 0
u = −0.571394 + 1.134260I
a = 1.94138 − 0.31879I
b = −0.88491 − 1.18169I
−3.20310 − 10.33750I 0
u = −0.571394 − 1.134260I
a = 1.94138 + 0.31879I
b = −0.88491 + 1.18169I
−3.20310 + 10.33750I 0
u = 0.124399 + 0.692567I
a = 3.77412 − 0.48842I
b = −0.748225 − 0.159033I
−0.39473 − 3.42723I 0
u = 0.124399 − 0.692567I
a = 3.77412 + 0.48842I
b = −0.748225 + 0.159033I
−0.39473 + 3.42723I 0
u = 0.478913 + 1.238790I
a = −1.73626 − 0.09425I
b = 1.11512 − 1.33562I
−5.79526 + 10.05900I 0
u = 0.478913 − 1.238790I
a = −1.73626 + 0.09425I
b = 1.11512 + 1.33562I
−5.79526 − 10.05900I 0
u = −0.414731 + 1.264750I
a = 1.55591 + 0.02619I
b = −1.37639 − 1.14496I
0.90199 − 5.41124I 0
u = −0.414731 − 1.264750I
a = 1.55591 − 0.02619I
b = −1.37639 + 1.14496I
0.90199 + 5.41124I 0
36
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.063225 + 0.642101I
a = 0.544943 − 0.776589I
b = −0.56820 + 1.36028I
4.01830 + 3.35228I 0
u = −0.063225 − 0.642101I
a = 0.544943 + 0.776589I
b = −0.56820 − 1.36028I
4.01830 − 3.35228I 0
u = −0.512245 + 1.260840I
a = −1.193750 + 0.101008I
b = 0.866308 + 0.032593I
−6.26801 − 11.78670I 0
u = −0.512245 − 1.260840I
a = −1.193750 − 0.101008I
b = 0.866308 − 0.032593I
−6.26801 + 11.78670I 0
u = 0.148803 + 0.600789I
a = −0.32970 + 2.73627I
b = −0.095185 + 0.724461I
2.26847 + 1.90559I 0
u = 0.148803 − 0.600789I
a = −0.32970 − 2.73627I
b = −0.095185 − 0.724461I
2.26847 − 1.90559I 0
u = 0.085371 + 1.405540I
a = −1.212120 − 0.151678I
b = 1.63367 − 0.13073I
−8.14634 + 0.37774I 0
u = 0.085371 − 1.405540I
a = −1.212120 + 0.151678I
b = 1.63367 + 0.13073I
−8.14634 − 0.37774I 0
u = 1.41848 + 0.15036I
a = −0.024888 − 0.389798I
b = 1.139300 − 0.708583I
−1.12151 + 4.60206I 0
u = 1.41848 − 0.15036I
a = −0.024888 + 0.389798I
b = 1.139300 + 0.708583I
−1.12151 − 4.60206I 0
37
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.44979
a = −0.248181
b = −0.862893
6.20953 0
u = 0.049020 + 0.545031I
a = 1.081650 − 0.862877I
b = 0.428048 + 1.317970I
−2.24055 − 7.34902I 0. + 8.05606I
u = 0.049020 − 0.545031I
a = 1.081650 + 0.862877I
b = 0.428048 − 1.317970I
−2.24055 + 7.34902I 0. − 8.05606I
u = 0.074533 + 0.528539I
a = −0.76700 + 1.75060I
b = −0.126359 + 0.997765I
2.36987 + 1.69229I 11.06200 − 3.78254I
u = 0.074533 − 0.528539I
a = −0.76700 − 1.75060I
b = −0.126359 − 0.997765I
2.36987 − 1.69229I 11.06200 + 3.78254I
u = −0.81691 + 1.22247I
a = 0.590458 − 0.474278I
b = −0.861285 − 0.036461I
−4.47070 − 4.16304I 0
u = −0.81691 − 1.22247I
a = 0.590458 + 0.474278I
b = −0.861285 + 0.036461I
−4.47070 + 4.16304I 0
u = −1.47734 + 0.24048I
a = −0.133544 + 0.160572I
b = 0.285552 + 0.045178I
−2.29239 + 5.78767I 0
u = −1.47734 − 0.24048I
a = −0.133544 − 0.160572I
b = 0.285552 − 0.045178I
−2.29239 − 5.78767I 0
u = 0.093371 + 0.473219I
a = −2.75050 − 1.25112I
b = 0.686941 + 0.942867I
0.52657 + 1.85431I 3.61991 − 2.71882I
38
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.093371 − 0.473219I
a = −2.75050 + 1.25112I
b = 0.686941 − 0.942867I
0.52657 − 1.85431I 3.61991 + 2.71882I
u = −0.132725 + 0.457402I
a = −0.62452 + 1.47340I
b = −0.435415 + 1.125430I
0.09228 + 6.26607I 11.14930 − 4.26874I
u = −0.132725 − 0.457402I
a = −0.62452 − 1.47340I
b = −0.435415 − 1.125430I
0.09228 − 6.26607I 11.14930 + 4.26874I
u = −1.51021 + 0.22909I
a = 0.177727 + 0.245821I
b = −1.016900 + 0.901340I
−0.20373 + 4.31437I 0
u = −1.51021 − 0.22909I
a = 0.177727 − 0.245821I
b = −1.016900 − 0.901340I
−0.20373 − 4.31437I 0
u = −0.004936 + 0.466083I
a = −5.57284 − 3.77943I
b = 0.611889 − 0.388484I
−2.01703 + 8.79931I −7.9058 − 15.5087I
u = −0.004936 − 0.466083I
a = −5.57284 + 3.77943I
b = 0.611889 + 0.388484I
−2.01703 − 8.79931I −7.9058 + 15.5087I
u = −0.25363 + 1.64831I
a = −1.246740 − 0.127801I
b = 2.20713 + 1.57974I
−7.65361 + 0.80641I 0
u = −0.25363 − 1.64831I
a = −1.246740 + 0.127801I
b = 2.20713 − 1.57974I
−7.65361 − 0.80641I 0
u = 1.93701
a = 0.0100437
b = −0.116690
2.58585 0
39
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
70
− 15u
69
+ ··· − 35u + 1)
· (u
224
− 6u
223
+ ··· − 44884222454179u + 3701456034894)
c
2
(u
70
− u
69
+ ··· − 4u − 1)
· (u
224
+ 58u
222
+ ··· − 10407259u − 1020181)
c
3
(u
70
+ u
69
+ ··· − 2u − 1)
· (u
224
+ 70u
222
+ ··· − 41463065u − 6221089)
c
4
(u
70
+ 2u
69
+ ··· + 3u + 1)(u
224
+ 3u
223
+ ··· + 130u + 3)
c
5
(u
70
+ 2u
69
+ ··· + 208u + 32)
· (u
224
+ u
223
+ ··· − 77486276384u − 21859583968)
c
6
(u
70
+ u
69
+ ··· + 4u − 1)
· (u
224
+ 58u
222
+ ··· − 10407259u − 1020181)
c
7
(u
70
− 14u
69
+ ··· + 6u + 1)(u
224
+ 7u
223
+ ··· + 147u + 4)
c
8
(u
70
+ u
69
+ ··· − 15u − 1)
· (u
224
− 18u
222
+ ··· + 104743724u − 8194483)
c
9
(u
70
− u
69
+ ··· + 2u − 1)
· (u
224
+ 70u
222
+ ··· − 41463065u − 6221089)
c
10
(u
70
− 3u
69
+ ··· − 22u + 1)
· (u
224
+ 18u
223
+ ··· + 274516829u + 44605981)
c
11
(u
70
+ 5u
69
+ ··· − u + 1)(u
224
+ 10u
223
+ ··· − 88u + 1)
c
12
(u
70
+ 18u
69
+ ··· + 92u − 1)
· (u
224
+ 17u
223
+ ··· + 1907648737u − 198403544)
40
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
70
+ 7y
69
+ ··· − 7y + 1)(y
224
− 44y
223
+ ··· − 4.73547 × 10
26
y + 1.37008 × 10
25
)
c
2
, c
6
(y
70
+ 27y
69
+ ··· + 66y + 1)
· (y
224
+ 116y
223
+ ··· + 49650999012427y + 1040769272761)
c
3
, c
9
(y
70
+ 39y
69
+ ··· + 28y + 1)
· (y
224
+ 140y
223
+ ··· + 1546004300630517y + 38701948345921)
c
4
(y
70
+ 14y
69
+ ··· + 27y + 1)(y
224
+ 19y
223
+ ··· − 1648y + 9)
c
5
(y
70
+ 24y
69
+ ··· − 46336y + 1024)
· (y
224
− 11y
223
+ ··· − 6.27 × 10
22
y + 4.78 × 10
20
)
c
7
(y
70
− 20y
69
+ ··· + 20y + 1)(y
224
+ y
223
+ ··· + 1687y + 16)
c
8
(y
70
+ 11y
69
+ ··· − 79y + 1)
· (y
224
− 36y
223
+ ··· − 2069920790809914y + 67149551637289)
c
10
(y
70
− 9y
69
+ ··· − 82y + 1)
· (y
224
+ 44y
223
+ ··· + 260712383021021931y + 1989693540972361)
c
11
(y
70
− 11y
69
+ ··· − 83y + 1)(y
224
− 10y
223
+ ··· − 794y + 1)
c
12
(y
70
− 38y
69
+ ··· − 10464y + 1)
· (y
224
− 65y
223
+ ··· − 2773728249316168385y + 39363966271759936)
41
