11a
284
(K11a
284
)
A knot diagram
1
Linearized knot diagam
8 6 1 10 2 11 4 3 7 5 9
Solving Sequence
2,5
6
3,10
11 7 4 8 1 9
c
5
c
2
c
10
c
6
c
4
c
7
c
1
c
9
c
3
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h8.01393 × 10
364
u
114
− 1.89641 × 10
365
u
113
+ ··· + 4.40356 × 10
365
b + 5.35492 × 10
365
,
1.14023 × 10
366
u
114
− 2.02274 × 10
366
u
113
+ ··· + 4.40356 × 10
365
a + 1.61754 × 10
366
,
2u
115
− 3u
114
+ ··· + 3u + 1i
I
u
2
= h−43367178772u
25
− 89820581776u
24
+ ··· + 434125229b − 45968805245,
342690500382u
25
+ 664891502229u
24
+ ··· + 434125229a + 318033048822,
2u
26
+ 5u
25
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 141 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
= h8.01 × 10
364
u
114
− 1.90 × 10
365
u
113
+ · · · + 4.40 × 10
365
b + 5.35 ×
10
365
, 1.14 × 10
366
u
114
− 2.02 × 10
366
u
113
+ · · · + 4.40 × 10
365
a + 1.62 ×
10
366
, 2u
115
− 3u
114
+ · · · + 3u + 1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
−u
2
a
3
=
u
−u
3
+ u
a
10
=
−2.58933u
114
+ 4.59342u
113
+ ··· + 5.12660u − 3.67325
−0.181987u
114
+ 0.430653u
113
+ ··· + 0.643336u − 1.21604
a
11
=
−2.40734u
114
+ 4.16276u
113
+ ··· + 4.48327u − 2.45721
−0.181987u
114
+ 0.430653u
113
+ ··· + 0.643336u − 1.21604
a
7
=
1.91206u
114
− 1.72299u
113
+ ··· − 9.03111u + 4.62584
0.201241u
114
− 0.542418u
113
+ ··· − 1.10941u + 1.75199
a
4
=
−2.44462u
114
+ 4.40973u
113
+ ··· + 4.60015u − 4.22398
0.0838673u
114
+ 0.135176u
113
+ ··· + 0.567897u − 1.51108
a
8
=
−1.41907u
114
+ 1.72105u
113
+ ··· + 0.421963u + 0.961382
−0.913213u
114
+ 1.18685u
113
+ ··· − 2.35761u − 1.04960
a
1
=
−3.24528u
114
+ 5.68590u
113
+ ··· − 4.48017u + 0.758121
−0.980130u
114
+ 1.88688u
113
+ ··· − 7.48383u − 0.0115047
a
9
=
−1.45747u
114
+ 1.79427u
113
+ ··· + 0.811536u + 0.994149
−0.952007u
114
+ 1.26219u
113
+ ··· − 1.96378u − 1.00902
a
9
=
−1.45747u
114
+ 1.79427u
113
+ ··· + 0.811536u + 0.994149
−0.952007u
114
+ 1.26219u
113
+ ··· − 1.96378u − 1.00902
(ii) Obstruction class = −1
(iii) Cusp Shapes = −6.75068u
114
+ 11.5616u
113
+ ··· + 31.7925u − 17.7512
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
2(2u
115
+ 9u
114
+ ··· + 2406u − 767)
c
2
, c
5
2(2u
115
+ 3u
114
+ ··· + 3u − 1)
c
3
u
115
− 9u
114
+ ··· − 4u + 1
c
4
, c
10
u
115
− 2u
114
+ ··· − 3876u − 1201
c
6
u
115
− 13u
113
+ ··· + 85279u − 38788
c
7
u
115
− 4u
114
+ ··· + 11570253u + 823526
c
8
2(2u
115
− u
114
+ ··· + 114u − 7)
c
9
4(4u
115
+ 57u
114
+ ··· + 15305u + 10639)
c
11
u
115
+ 9u
114
+ ··· − 183323u − 19982
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
4(4y
115
− 105y
114
+ ··· + 3.50821 × 10
7
y −588289)
c
2
, c
5
4(4y
115
− 237y
114
+ ··· + 27y −1)
c
3
y
115
− 11y
114
+ ··· + 180y −1
c
4
, c
10
y
115
− 76y
114
+ ··· + 36617356y −1442401
c
6
y
115
− 26y
114
+ ··· + 89633162793y −1504508944
c
7
y
115
+ 54y
114
+ ··· − 20235629660847y −678195072676
c
8
4(4y
115
− 61y
114
+ ··· + 886y −49)
c
9
16(16y
115
− 537y
114
+ ··· + 2.20403 × 10
9
y −1.13188 × 10
8
)
c
11
y
115
+ 23y
114
+ ··· − 4932760351y −399280324
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.277056 + 0.964479I
a = 0.706133 − 0.696038I
b = −0.012508 − 0.954942I
−2.71019 − 7.23222I 0
u = 0.277056 − 0.964479I
a = 0.706133 + 0.696038I
b = −0.012508 + 0.954942I
−2.71019 + 7.23222I 0
u = −0.908890 + 0.404160I
a = −0.531374 + 0.507711I
b = 0.234098 − 1.101470I
−0.68914 − 3.66478I 0
u = −0.908890 − 0.404160I
a = −0.531374 − 0.507711I
b = 0.234098 + 1.101470I
−0.68914 + 3.66478I 0
u = 0.942155 + 0.291334I
a = 0.165857 − 0.990733I
b = 0.367774 + 0.043771I
−0.79505 + 2.96219I 0
u = 0.942155 − 0.291334I
a = 0.165857 + 0.990733I
b = 0.367774 − 0.043771I
−0.79505 − 2.96219I 0
u = 0.942618 + 0.396862I
a = −0.735978 − 1.143230I
b = −0.225514 + 0.606525I
0.84959 + 4.92469I 0
u = 0.942618 − 0.396862I
a = −0.735978 + 1.143230I
b = −0.225514 − 0.606525I
0.84959 − 4.92469I 0
u = 0.891020 + 0.378810I
a = −1.198140 + 0.077601I
b = 0.18102 + 1.75461I
3.53196 + 1.57888I 0
u = 0.891020 − 0.378810I
a = −1.198140 − 0.077601I
b = 0.18102 − 1.75461I
3.53196 − 1.57888I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.026164 + 1.033040I
a = 0.790749 + 0.473570I
b = 0.078049 + 0.552303I
−2.97182 − 2.03893I 0
u = 0.026164 − 1.033040I
a = 0.790749 − 0.473570I
b = 0.078049 − 0.552303I
−2.97182 + 2.03893I 0
u = −0.076207 + 1.035040I
a = −1.56149 − 0.68640I
b = −1.106940 − 0.106044I
−6.14019 − 0.62684I 0
u = −0.076207 − 1.035040I
a = −1.56149 + 0.68640I
b = −1.106940 + 0.106044I
−6.14019 + 0.62684I 0
u = 0.994808 + 0.352312I
a = 2.25386 + 0.31135I
b = 1.43105 + 0.02510I
−4.35240 − 0.58562I 0
u = 0.994808 − 0.352312I
a = 2.25386 − 0.31135I
b = 1.43105 − 0.02510I
−4.35240 + 0.58562I 0
u = −0.970256 + 0.418610I
a = −0.105755 + 0.727504I
b = 0.582607 − 0.698925I
1.62964 − 5.18438I 0
u = −0.970256 − 0.418610I
a = −0.105755 − 0.727504I
b = 0.582607 + 0.698925I
1.62964 + 5.18438I 0
u = 1.045430 + 0.257801I
a = 0.215650 + 0.460106I
b = 0.954355 + 0.617889I
0.06859 − 2.68945I 0
u = 1.045430 − 0.257801I
a = 0.215650 − 0.460106I
b = 0.954355 − 0.617889I
0.06859 + 2.68945I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.025960 + 0.334961I
a = 0.520385 − 0.208896I
b = −0.443788 + 0.795349I
1.83286 − 0.68624I 0
u = −1.025960 − 0.334961I
a = 0.520385 + 0.208896I
b = −0.443788 − 0.795349I
1.83286 + 0.68624I 0
u = 0.319245 + 0.857302I
a = −1.28065 − 0.87510I
b = −1.232710 − 0.278290I
−6.29691 − 0.61776I 0
u = 0.319245 − 0.857302I
a = −1.28065 + 0.87510I
b = −1.232710 + 0.278290I
−6.29691 + 0.61776I 0
u = −0.837208 + 0.344102I
a = −0.211714 + 0.160387I
b = 0.286543 − 1.076000I
−1.021760 + 0.432243I 0
u = −0.837208 − 0.344102I
a = −0.211714 − 0.160387I
b = 0.286543 + 1.076000I
−1.021760 − 0.432243I 0
u = −0.980180 + 0.512170I
a = 1.181770 − 0.585912I
b = 1.63914 − 0.48297I
−5.24071 − 6.02921I 0
u = −0.980180 − 0.512170I
a = 1.181770 + 0.585912I
b = 1.63914 + 0.48297I
−5.24071 + 6.02921I 0
u = −1.029940 + 0.440301I
a = 2.94694 − 0.59942I
b = 1.273150 + 0.109754I
−3.69644 − 8.07570I 0
u = −1.029940 − 0.440301I
a = 2.94694 + 0.59942I
b = 1.273150 − 0.109754I
−3.69644 + 8.07570I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.432423 + 0.738791I
a = 1.48403 + 0.15123I
b = 0.985307 + 0.117780I
−1.77940 − 0.62020I 0
u = 0.432423 − 0.738791I
a = 1.48403 − 0.15123I
b = 0.985307 − 0.117780I
−1.77940 + 0.62020I 0
u = 1.139270 + 0.116928I
a = −0.663392 − 0.622278I
b = −0.519165 + 0.876104I
5.59609 + 3.00304I 0
u = 1.139270 − 0.116928I
a = −0.663392 + 0.622278I
b = −0.519165 − 0.876104I
5.59609 − 3.00304I 0
u = −1.026960 + 0.509938I
a = 0.0084466 + 0.0751284I
b = −0.319706 + 0.582678I
1.61019 − 1.66229I 0
u = −1.026960 − 0.509938I
a = 0.0084466 − 0.0751284I
b = −0.319706 − 0.582678I
1.61019 + 1.66229I 0
u = −0.952977 + 0.652216I
a = 1.265820 − 0.119057I
b = 0.530189 + 0.955205I
1.66491 − 3.01542I 0
u = −0.952977 − 0.652216I
a = 1.265820 + 0.119057I
b = 0.530189 − 0.955205I
1.66491 + 3.01542I 0
u = 0.901119 + 0.728319I
a = −1.78543 − 0.98734I
b = −0.959244 + 0.232094I
0.02959 + 5.02048I 0
u = 0.901119 − 0.728319I
a = −1.78543 + 0.98734I
b = −0.959244 − 0.232094I
0.02959 − 5.02048I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.996500 + 0.598952I
a = 1.90335 + 0.84290I
b = 1.026090 − 0.139218I
0.539034 + 0.195029I 0
u = 0.996500 − 0.598952I
a = 1.90335 − 0.84290I
b = 1.026090 + 0.139218I
0.539034 − 0.195029I 0
u = 1.009810 + 0.586510I
a = 1.44668 + 0.17928I
b = 1.45521 + 0.41254I
−4.55954 − 1.63755I 0
u = 1.009810 − 0.586510I
a = 1.44668 − 0.17928I
b = 1.45521 − 0.41254I
−4.55954 + 1.63755I 0
u = −0.657321 + 0.497457I
a = −1.36096 + 2.29044I
b = −1.31460 − 0.61425I
−6.27820 + 1.86688I 0
u = −0.657321 − 0.497457I
a = −1.36096 − 2.29044I
b = −1.31460 + 0.61425I
−6.27820 − 1.86688I 0
u = 0.617586 + 0.530780I
a = −1.20097 − 2.56010I
b = −1.172710 + 0.567648I
−5.80540 + 6.12206I 0
u = 0.617586 − 0.530780I
a = −1.20097 + 2.56010I
b = −1.172710 − 0.567648I
−5.80540 − 6.12206I 0
u = −1.066550 + 0.540453I
a = 1.52291 − 1.24350I
b = 1.53256 + 0.61309I
−1.61279 − 9.53611I 0
u = −1.066550 − 0.540453I
a = 1.52291 + 1.24350I
b = 1.53256 − 0.61309I
−1.61279 + 9.53611I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.074800 + 0.576384I
a = −1.29525 − 1.11381I
b = −1.024400 + 0.478941I
0.12708 + 5.59619I 0
u = 1.074800 − 0.576384I
a = −1.29525 + 1.11381I
b = −1.024400 − 0.478941I
0.12708 − 5.59619I 0
u = −1.115780 + 0.517441I
a = 1.12411 − 1.57039I
b = 1.38682 + 0.39595I
−4.21702 − 8.99203I 0
u = −1.115780 − 0.517441I
a = 1.12411 + 1.57039I
b = 1.38682 − 0.39595I
−4.21702 + 8.99203I 0
u = 0.686559 + 0.311613I
a = −0.94871 − 4.29143I
b = −1.122020 − 0.035704I
−5.49191 + 3.64527I −9.06683 − 6.94235I
u = 0.686559 − 0.311613I
a = −0.94871 + 4.29143I
b = −1.122020 + 0.035704I
−5.49191 − 3.64527I −9.06683 + 6.94235I
u = 1.089430 + 0.608012I
a = 1.26838 + 0.82385I
b = 1.32127 − 0.65726I
−4.19786 + 5.91313I 0
u = 1.089430 − 0.608012I
a = 1.26838 − 0.82385I
b = 1.32127 + 0.65726I
−4.19786 − 5.91313I 0
u = −1.129690 + 0.536597I
a = 1.14701 − 1.73795I
b = 1.146100 + 0.150850I
−3.21433 − 4.24659I 0
u = −1.129690 − 0.536597I
a = 1.14701 + 1.73795I
b = 1.146100 − 0.150850I
−3.21433 + 4.24659I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.144960 + 0.514723I
a = 0.41311 + 1.62293I
b = 1.010130 − 0.380651I
0.30874 + 9.37379I 0
u = 1.144960 − 0.514723I
a = 0.41311 − 1.62293I
b = 1.010130 + 0.380651I
0.30874 − 9.37379I 0
u = 1.127540 + 0.552120I
a = 0.98442 + 1.17879I
b = 1.30808 − 0.59816I
−4.13667 + 9.74502I 0
u = 1.127540 − 0.552120I
a = 0.98442 − 1.17879I
b = 1.30808 + 0.59816I
−4.13667 − 9.74502I 0
u = −0.652758 + 0.344605I
a = −1.94268 + 4.67592I
b = −1.034360 + 0.088071I
−5.06782 + 4.62329I −8.69727 + 0.I
u = −0.652758 − 0.344605I
a = −1.94268 − 4.67592I
b = −1.034360 − 0.088071I
−5.06782 − 4.62329I −8.69727 + 0.I
u = −1.226310 + 0.314487I
a = −0.267412 + 0.022660I
b = 0.780035 − 0.054648I
1.53749 + 0.92367I 0
u = −1.226310 − 0.314487I
a = −0.267412 − 0.022660I
b = 0.780035 + 0.054648I
1.53749 − 0.92367I 0
u = −0.656244 + 0.319907I
a = 0.526772 + 0.664365I
b = −0.134878 − 0.614359I
0.63327 + 1.84453I 0. − 4.92506I
u = −0.656244 − 0.319907I
a = 0.526772 − 0.664365I
b = −0.134878 + 0.614359I
0.63327 − 1.84453I 0. + 4.92506I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.487352 + 1.187960I
a = 1.59853 − 0.36682I
b = 1.324590 − 0.489779I
−6.8504 + 12.4320I 0
u = −0.487352 − 1.187960I
a = 1.59853 + 0.36682I
b = 1.324590 + 0.489779I
−6.8504 − 12.4320I 0
u = −1.281650 + 0.133666I
a = −0.293050 + 0.507280I
b = −0.982358 − 0.491043I
4.07307 − 1.94826I 0
u = −1.281650 − 0.133666I
a = −0.293050 − 0.507280I
b = −0.982358 + 0.491043I
4.07307 + 1.94826I 0
u = 0.082739 + 0.705349I
a = −0.647035 + 0.485897I
b = −1.111110 − 0.194979I
−2.52539 − 4.84612I −5.51959 + 6.84426I
u = 0.082739 − 0.705349I
a = −0.647035 − 0.485897I
b = −1.111110 + 0.194979I
−2.52539 + 4.84612I −5.51959 − 6.84426I
u = −0.426759 + 0.541501I
a = −1.86488 + 1.32381I
b = −1.44936 + 0.36569I
−3.47686 + 5.05598I −4.55066 − 7.76927I
u = −0.426759 − 0.541501I
a = −1.86488 − 1.32381I
b = −1.44936 − 0.36569I
−3.47686 − 5.05598I −4.55066 + 7.76927I
u = 0.627214 + 0.284968I
a = 1.117560 − 0.278719I
b = 0.345587 − 0.027787I
−1.369570 − 0.113618I −10.02289 − 1.25200I
u = 0.627214 − 0.284968I
a = 1.117560 + 0.278719I
b = 0.345587 + 0.027787I
−1.369570 + 0.113618I −10.02289 + 1.25200I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.187654 + 0.641912I
a = −1.33995 − 0.46273I
b = −1.362680 − 0.322519I
−6.65120 − 5.03845I −13.3143 + 5.2572I
u = 0.187654 − 0.641912I
a = −1.33995 + 0.46273I
b = −1.362680 + 0.322519I
−6.65120 + 5.03845I −13.3143 − 5.2572I
u = 1.188210 + 0.612878I
a = 0.566014 − 0.106486I
b = −0.004590 − 1.259350I
0.03533 + 12.87640I 0
u = 1.188210 − 0.612878I
a = 0.566014 + 0.106486I
b = −0.004590 + 1.259350I
0.03533 − 12.87640I 0
u = −0.500222 + 0.416805I
a = 0.692054 + 0.382242I
b = −0.011643 + 0.668932I
1.05915 − 1.57001I 1.42915 + 4.50979I
u = −0.500222 − 0.416805I
a = 0.692054 − 0.382242I
b = −0.011643 − 0.668932I
1.05915 + 1.57001I 1.42915 − 4.50979I
u = 1.235600 + 0.580995I
a = −0.419143 + 0.131296I
b = −0.133252 − 0.192188I
0.60271 + 7.63366I 0
u = 1.235600 − 0.580995I
a = −0.419143 − 0.131296I
b = −0.133252 + 0.192188I
0.60271 − 7.63366I 0
u = −1.42233 + 0.06593I
a = −0.629358 + 0.145610I
b = −0.510605 − 0.872391I
3.47321 + 3.16840I 0
u = −1.42233 − 0.06593I
a = −0.629358 − 0.145610I
b = −0.510605 + 0.872391I
3.47321 − 3.16840I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.24469 + 0.71962I
a = 0.441894 + 0.335592I
b = −0.062709 + 1.257770I
0.87832 − 4.34613I 0
u = −1.24469 − 0.71962I
a = 0.441894 − 0.335592I
b = −0.062709 − 1.257770I
0.87832 + 4.34613I 0
u = −1.23597 + 0.74398I
a = −1.53824 + 1.00481I
b = −1.40743 − 0.58100I
−4.4085 − 19.2643I 0
u = −1.23597 − 0.74398I
a = −1.53824 − 1.00481I
b = −1.40743 + 0.58100I
−4.4085 + 19.2643I 0
u = 1.23577 + 0.83026I
a = −1.67688 − 0.91218I
b = −1.39446 + 0.56738I
−3.46118 + 10.67000I 0
u = 1.23577 − 0.83026I
a = −1.67688 + 0.91218I
b = −1.39446 − 0.56738I
−3.46118 − 10.67000I 0
u = −1.36252 + 0.61428I
a = 0.687546 − 0.708602I
b = 1.035290 − 0.037346I
−2.68146 + 0.59329I 0
u = −1.36252 − 0.61428I
a = 0.687546 + 0.708602I
b = 1.035290 + 0.037346I
−2.68146 − 0.59329I 0
u = −0.005305 + 0.476611I
a = −2.02527 − 0.46727I
b = −1.42361 + 0.20245I
−6.76597 + 4.72878I −14.6888 − 8.1121I
u = −0.005305 − 0.476611I
a = −2.02527 + 0.46727I
b = −1.42361 − 0.20245I
−6.76597 − 4.72878I −14.6888 + 8.1121I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.22319 + 0.92378I
a = −1.35375 + 0.60521I
b = −1.163110 − 0.215218I
−2.40903 − 9.64189I 0
u = −1.22319 − 0.92378I
a = −1.35375 − 0.60521I
b = −1.163110 + 0.215218I
−2.40903 + 9.64189I 0
u = 1.54481 + 0.22798I
a = −0.651960 − 0.224874I
b = −0.973927 + 0.511293I
1.97163 + 8.25765I 0
u = 1.54481 − 0.22798I
a = −0.651960 + 0.224874I
b = −0.973927 − 0.511293I
1.97163 − 8.25765I 0
u = 0.350231 + 0.117341I
a = −3.24395 − 2.60965I
b = −1.273060 + 0.287079I
−2.97685 + 5.07858I −2.94848 − 5.55455I
u = 0.350231 − 0.117341I
a = −3.24395 + 2.60965I
b = −1.273060 − 0.287079I
−2.97685 − 5.07858I −2.94848 + 5.55455I
u = 0.76967 + 1.46166I
a = 1.61644 + 0.51632I
b = 1.30419 + 0.62684I
−5.39735 − 2.89988I 0
u = 0.76967 − 1.46166I
a = 1.61644 − 0.51632I
b = 1.30419 − 0.62684I
−5.39735 + 2.89988I 0
u = 0.103712 + 0.325016I
a = 1.048460 + 0.308863I
b = 0.411316 + 0.582022I
−0.82600 − 1.86825I −3.74526 + 4.03129I
u = 0.103712 − 0.325016I
a = 1.048460 − 0.308863I
b = 0.411316 − 0.582022I
−0.82600 + 1.86825I −3.74526 − 4.03129I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.320685
a = −5.71656
b = −1.31890
−6.33944 −15.0270
u = −0.171180 + 0.162099I
a = −3.35775 − 0.25779I
b = −1.44383 + 0.21091I
−6.77311 + 4.75588I −19.9085 − 9.7356I
u = −0.171180 − 0.162099I
a = −3.35775 + 0.25779I
b = −1.44383 − 0.21091I
−6.77311 − 4.75588I −19.9085 + 9.7356I
u = 1.60063 + 0.75570I
a = 0.844548 + 0.288371I
b = 1.059200 − 0.052066I
−3.06735 − 0.13431I 0
u = 1.60063 − 0.75570I
a = 0.844548 − 0.288371I
b = 1.059200 + 0.052066I
−3.06735 + 0.13431I 0
16
II.
I
u
2
= h−4.34 × 10
10
u
25
− 8.98 × 10
10
u
24
+ · · · + 4.34× 10
8
b − 4.60 ×10
10
, 3.43 ×
10
11
u
25
+6.65×10
11
u
24
+· · ·+4.34×10
8
a+3.18×10
11
, 2u
26
+5u
25
+· · ·+2u+1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
−u
2
a
3
=
u
−u
3
+ u
a
10
=
−789.382u
25
− 1531.57u
24
+ ··· − 166.336u − 732.584
99.8956u
25
+ 206.900u
24
+ ··· − 12.0546u + 105.888
a
11
=
−889.277u
25
− 1738.47u
24
+ ··· − 154.281u − 838.472
99.8956u
25
+ 206.900u
24
+ ··· − 12.0546u + 105.888
a
7
=
−1089.88u
25
− 2170.25u
24
+ ··· − 83.3611u − 1072.30
−184.845u
25
− 361.195u
24
+ ··· − 24.6461u − 185.378
a
4
=
839.937u
25
+ 1634.70u
24
+ ··· + 151.208u + 805.888
−86.3655u
25
− 168.823u
24
+ ··· − 24.4333u − 70.7374
a
8
=
294.041u
25
+ 583.709u
24
+ ··· + 37.1847u + 276.790
96.0246u
25
+ 182.005u
24
+ ··· + 56.2578u + 71.6843
a
1
=
−556.213u
25
− 1098.55u
24
+ ··· − 40.4201u − 554.483
−57.3599u
25
− 120.352u
24
+ ··· + 20.0025u − 66.6879
a
9
=
316.114u
25
+ 626.661u
24
+ ··· + 32.0322u + 303.826
115.563u
25
+ 221.890u
24
+ ··· + 49.9128u + 92.6057
a
9
=
316.114u
25
+ 626.661u
24
+ ··· + 32.0322u + 303.826
115.563u
25
+ 221.890u
24
+ ··· + 49.9128u + 92.6057
(ii) Obstruction class = 1
(iii) Cusp Shapes =
420140152888
434125229
u
25
+
17210401346
9236707
u
24
+ ···+
91899682153
434125229
u +
357966565160
434125229
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
2(2u
26
− 3u
25
+ ··· + 5u + 1)
c
2
2(2u
26
− 5u
25
+ ··· − 2u + 1)
c
3
u
26
+ 2u
25
+ ··· − 5u − 1
c
4
u
26
+ 3u
25
+ ··· − 5u − 1
c
5
2(2u
26
+ 5u
25
+ ··· + 2u + 1)
c
6
u
26
+ u
25
+ ··· + 57u + 28
c
7
u
26
− u
25
+ ··· + 21u + 2
c
8
2(2u
26
+ u
25
+ ··· − 7u − 1)
c
9
4(4u
26
+ 61u
25
+ ··· + 12u + 1)
c
10
u
26
− 3u
25
+ ··· + 5u − 1
c
11
u
26
− 4u
25
+ ··· − 17u − 2
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
4(4y
26
− 69y
25
+ ··· − 7y + 1)
c
2
, c
5
4(4y
26
− 73y
25
+ ··· − 30y + 1)
c
3
y
26
+ 2y
25
+ ··· − 3y + 1
c
4
, c
10
y
26
− 15y
25
+ ··· + y + 1
c
6
y
26
− 9y
25
+ ··· − 9857y + 784
c
7
y
26
+ 15y
25
+ ··· − 53y + 4
c
8
4(4y
26
− 41y
25
+ ··· − 17y + 1)
c
9
16(16y
26
− 553y
25
+ ··· − 32y + 1)
c
11
y
26
− 4y
25
+ ··· − 429y + 4
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.902413 + 0.348607I
a = 1.203380 + 0.011175I
b = −0.11363 + 1.63639I
3.68864 − 1.45554I 15.4501 − 9.8201I
u = −0.902413 − 0.348607I
a = 1.203380 − 0.011175I
b = −0.11363 − 1.63639I
3.68864 + 1.45554I 15.4501 + 9.8201I
u = 0.833318 + 0.441423I
a = −0.815159 − 1.009730I
b = 0.144725 + 0.492800I
1.07549 + 4.08283I 0.16567 − 2.93988I
u = 0.833318 − 0.441423I
a = −0.815159 + 1.009730I
b = 0.144725 − 0.492800I
1.07549 − 4.08283I 0.16567 + 2.93988I
u = −1.07468
a = −2.14679
b = −1.47023
−4.89292 −14.4610
u = 0.976675 + 0.535227I
a = −1.97969 − 0.62996I
b = −1.356160 + 0.095896I
−3.05153 + 7.14647I −5.02875 − 6.53250I
u = 0.976675 − 0.535227I
a = −1.97969 + 0.62996I
b = −1.356160 − 0.095896I
−3.05153 − 7.14647I −5.02875 + 6.53250I
u = 0.860993 + 0.166525I
a = 0.495992 − 0.119900I
b = 0.227577 + 0.672977I
−0.421435 − 1.186280I −4.72479 + 2.80501I
u = 0.860993 − 0.166525I
a = 0.495992 + 0.119900I
b = 0.227577 − 0.672977I
−0.421435 + 1.186280I −4.72479 − 2.80501I
u = 1.096990 + 0.334411I
a = 0.690701 + 0.359287I
b = −0.206182 − 0.192031I
2.42427 − 0.67930I 4.38910 + 2.66937I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.096990 − 0.334411I
a = 0.690701 − 0.359287I
b = −0.206182 + 0.192031I
2.42427 + 0.67930I 4.38910 − 2.66937I
u = 1.079770 + 0.566501I
a = −0.631354 − 0.211990I
b = −0.087210 + 0.961580I
1.16980 + 3.77509I −2.33539 − 3.30863I
u = 1.079770 − 0.566501I
a = −0.631354 + 0.211990I
b = −0.087210 − 0.961580I
1.16980 − 3.77509I −2.33539 + 3.30863I
u = −1.109630 + 0.577628I
a = 1.22405 − 1.33864I
b = 1.35649 + 0.51125I
−3.19455 − 8.83044I −3.92140 + 6.56535I
u = −1.109630 − 0.577628I
a = 1.22405 + 1.33864I
b = 1.35649 − 0.51125I
−3.19455 + 8.83044I −3.92140 − 6.56535I
u = −1.244540 + 0.593740I
a = −0.326614 + 0.803021I
b = −0.816237 − 0.239357I
−0.28328 − 8.29218I −6.85575 + 7.14384I
u = −1.244540 − 0.593740I
a = −0.326614 − 0.803021I
b = −0.816237 + 0.239357I
−0.28328 + 8.29218I −6.85575 − 7.14384I
u = 0.508749 + 0.173453I
a = 2.66319 + 4.04300I
b = 1.254260 − 0.252501I
−5.43384 − 2.60736I −6.61005 + 1.10855I
u = 0.508749 − 0.173453I
a = 2.66319 − 4.04300I
b = 1.254260 + 0.252501I
−5.43384 + 2.60736I −6.61005 − 1.10855I
u = −0.533548 + 0.021243I
a = 1.16611 − 5.64644I
b = 1.070490 + 0.296067I
−4.79002 − 5.38029I −5.23955 + 8.87254I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.533548 − 0.021243I
a = 1.16611 + 5.64644I
b = 1.070490 − 0.296067I
−4.79002 + 5.38029I −5.23955 − 8.87254I
u = −0.67080 + 1.33154I
a = −1.58711 + 0.44198I
b = −1.281620 + 0.541938I
−5.29738 + 2.79205I 0
u = −0.67080 − 1.33154I
a = −1.58711 − 0.44198I
b = −1.281620 − 0.541938I
−5.29738 − 2.79205I 0
u = −0.483281 + 0.104416I
a = −1.92146 + 0.25924I
b = −1.47927 + 0.22060I
−6.54530 + 4.65043I 9.47001 + 3.40221I
u = −0.483281 − 0.104416I
a = −1.92146 − 0.25924I
b = −1.47927 − 0.22060I
−6.54530 − 4.65043I 9.47001 − 3.40221I
u = −2.24990
a = 0.782694
b = 1.04378
−3.13685 0
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
4(2u
26
− 3u
25
+ ··· + 5u + 1)(2u
115
+ 9u
114
+ ··· + 2406u − 767)
c
2
4(2u
26
− 5u
25
+ ··· − 2u + 1)(2u
115
+ 3u
114
+ ··· + 3u − 1)
c
3
(u
26
+ 2u
25
+ ··· − 5u − 1)(u
115
− 9u
114
+ ··· − 4u + 1)
c
4
(u
26
+ 3u
25
+ ··· − 5u − 1)(u
115
− 2u
114
+ ··· − 3876u − 1201)
c
5
4(2u
26
+ 5u
25
+ ··· + 2u + 1)(2u
115
+ 3u
114
+ ··· + 3u − 1)
c
6
(u
26
+ u
25
+ ··· + 57u + 28)(u
115
− 13u
113
+ ··· + 85279u − 38788)
c
7
(u
26
− u
25
+ ··· + 21u + 2)(u
115
− 4u
114
+ ··· + 1.15703 × 10
7
u + 823526)
c
8
4(2u
26
+ u
25
+ ··· − 7u − 1)(2u
115
− u
114
+ ··· + 114u − 7)
c
9
16(4u
26
+ 61u
25
+ ··· + 12u + 1)
· (4u
115
+ 57u
114
+ ··· + 15305u + 10639)
c
10
(u
26
− 3u
25
+ ··· + 5u − 1)(u
115
− 2u
114
+ ··· − 3876u − 1201)
c
11
(u
26
− 4u
25
+ ··· − 17u − 2)(u
115
+ 9u
114
+ ··· − 183323u − 19982)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
16(4y
26
− 69y
25
+ ··· − 7y + 1)
· (4y
115
− 105y
114
+ ··· + 35082100y −588289)
c
2
, c
5
16(4y
26
− 73y
25
+ ··· − 30y + 1)(4y
115
− 237y
114
+ ··· + 27y −1)
c
3
(y
26
+ 2y
25
+ ··· − 3y + 1)(y
115
− 11y
114
+ ··· + 180y −1)
c
4
, c
10
(y
26
− 15y
25
+ ··· + y + 1)
· (y
115
− 76y
114
+ ··· + 36617356y −1442401)
c
6
(y
26
− 9y
25
+ ··· − 9857y + 784)
· (y
115
− 26y
114
+ ··· + 89633162793y −1504508944)
c
7
(y
26
+ 15y
25
+ ··· − 53y + 4)
· (y
115
+ 54y
114
+ ··· − 20235629660847y −678195072676)
c
8
16(4y
26
− 41y
25
+ ··· − 17y + 1)(4y
115
− 61y
114
+ ··· + 886y −49)
c
9
256(16y
26
− 553y
25
+ ··· − 32y + 1)
· (16y
115
− 537y
114
+ ··· + 2204032597y −113188321)
c
11
(y
26
− 4y
25
+ ··· − 429y + 4)
· (y
115
+ 23y
114
+ ··· − 4932760351y −399280324)
24
