11a
276
(K11a
276
)
A knot diagram
1
Linearized knot diagam
7 5 1 9 2 10 3 11 6 4 8
Solving Sequence
6,9
10
2,7
1 5 3 4 11 8
c
9
c
6
c
1
c
5
c
2
c
4
c
10
c
8
c
3
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.63399 × 10
307
u
102
− 1.76777 × 10
308
u
101
+ ··· + 4.99508 × 10
308
b − 1.10340 × 10
310
,
− 1.30225 × 10
312
u
102
− 4.26703 × 10
312
u
101
+ ··· + 9.25589 × 10
311
a − 2.15727 × 10
314
,
u
103
+ 4u
102
+ ··· + 469u + 109i
I
u
2
= h425805u
22
+ 807010u
21
+ ··· + 75671b − 868327,
637990u
22
+ 1114149u
21
+ ··· + 75671a − 1825552, u
23
+ u
22
+ ··· − u + 1i
* 2 irreducible components of dim
C
= 0, with total 126 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−6.63 × 10
307
u
102
− 1.77 × 10
308
u
101
+ · · · + 5.00 × 10
308
b − 1.10 ×
10
310
, −1.30 × 10
312
u
102
− 4.27 × 10
312
u
101
+ · · · + 9.26 × 10
311
a − 2.16 ×
10
314
, u
103
+ 4u
102
+ · · · + 469u + 109i
(i) Arc colorings
a
6
=
0
u
a
9
=
1
0
a
10
=
1
u
2
a
2
=
1.40695u
102
+ 4.61007u
101
+ ··· + 669.071u + 233.070
0.132810u
102
+ 0.353902u
101
+ ··· + 73.4026u + 22.0898
a
7
=
−u
−u
3
+ u
a
1
=
1.87065u
102
+ 6.06248u
101
+ ··· + 892.642u + 307.136
−0.0468750u
102
− 0.221872u
101
+ ··· − 11.9894u − 8.11502
a
5
=
1.36603u
102
+ 4.42797u
101
+ ··· + 693.873u + 231.792
−1.58180u
102
− 5.10772u
101
+ ··· − 663.580u − 223.501
a
3
=
1.21417u
102
+ 3.86488u
101
+ ··· + 592.926u + 185.516
−0.285401u
102
− 0.925876u
101
+ ··· − 159.269u − 55.0124
a
4
=
−0.215772u
102
− 0.679745u
101
+ ··· + 30.2932u + 8.29123
−1.58180u
102
− 5.10772u
101
+ ··· − 663.580u − 223.501
a
11
=
−1.06595u
102
− 3.65972u
101
+ ··· − 348.557u − 134.481
0.221450u
102
+ 0.663808u
101
+ ··· + 175.345u + 53.4208
a
8
=
0.892276u
102
+ 2.72947u
101
+ ··· + 475.525u + 146.323
0.0338094u
102
+ 0.114168u
101
+ ··· − 50.4001u − 16.4134
a
8
=
0.892276u
102
+ 2.72947u
101
+ ··· + 475.525u + 146.323
0.0338094u
102
+ 0.114168u
101
+ ··· − 50.4001u − 16.4134
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1.28824u
102
− 4.05511u
101
+ ··· − 372.365u − 118.415
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
103
+ u
102
+ ··· − 35693u + 3817
c
2
, c
5
u
103
+ 7u
102
+ ··· − 488u + 403
c
3
u
103
− 8u
102
+ ··· − 52u + 8
c
4
u
103
− u
102
+ ··· + 257024u + 34816
c
6
, c
9
u
103
+ 4u
102
+ ··· + 469u + 109
c
7
u
103
− u
102
+ ··· − 6340u + 2537
c
8
, c
11
u
103
+ 5u
102
+ ··· + 44u + 1
c
10
u
103
+ 2u
102
+ ··· + 366u + 343
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
103
+ 17y
102
+ ··· − 648571579y −14569489
c
2
, c
5
y
103
+ 53y
102
+ ··· − 6001908y −162409
c
3
y
103
− 16y
102
+ ··· + 1424y −64
c
4
y
103
− 23y
102
+ ··· − 61678288896y −1212153856
c
6
, c
9
y
103
− 56y
102
+ ··· + 439051y −11881
c
7
y
103
− 17y
102
+ ··· + 318453760y −6436369
c
8
, c
11
y
103
+ 75y
102
+ ··· + 218y −1
c
10
y
103
− 22y
102
+ ··· − 423762y −117649
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.836526 + 0.521144I
a = −0.985823 − 0.669717I
b = 1.50275 + 0.04934I
4.06422 − 1.55716I 0
u = 0.836526 − 0.521144I
a = −0.985823 + 0.669717I
b = 1.50275 − 0.04934I
4.06422 + 1.55716I 0
u = 0.993660 + 0.225274I
a = 1.061870 − 0.596347I
b = −0.401587 + 0.125535I
−3.45329 − 0.72831I 0
u = 0.993660 − 0.225274I
a = 1.061870 + 0.596347I
b = −0.401587 − 0.125535I
−3.45329 + 0.72831I 0
u = −0.596338 + 0.760820I
a = 1.104950 + 0.053850I
b = −1.69790 − 0.01032I
−1.79270 + 5.83133I 0
u = −0.596338 − 0.760820I
a = 1.104950 − 0.053850I
b = −1.69790 + 0.01032I
−1.79270 − 5.83133I 0
u = −0.990596 + 0.302063I
a = −1.228230 − 0.676620I
b = 0.301914 + 0.719171I
−6.78852 + 0.94980I 0
u = −0.990596 − 0.302063I
a = −1.228230 + 0.676620I
b = 0.301914 − 0.719171I
−6.78852 − 0.94980I 0
u = −0.859460 + 0.434428I
a = 0.870257 − 1.037170I
b = −1.400350 + 0.152499I
0.99501 − 2.77150I 0
u = −0.859460 − 0.434428I
a = 0.870257 + 1.037170I
b = −1.400350 − 0.152499I
0.99501 + 2.77150I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.008990 + 0.333497I
a = 0.587893 − 0.996855I
b = 0.421890 + 0.300714I
−4.90999 + 1.62359I 0
u = 1.008990 − 0.333497I
a = 0.587893 + 0.996855I
b = 0.421890 − 0.300714I
−4.90999 − 1.62359I 0
u = −1.056400 + 0.118838I
a = −1.320910 − 0.499770I
b = 0.282188 − 0.306999I
−6.86537 + 0.18608I 0
u = −1.056400 − 0.118838I
a = −1.320910 + 0.499770I
b = 0.282188 + 0.306999I
−6.86537 − 0.18608I 0
u = −0.511134 + 0.942278I
a = −0.510309 + 0.785824I
b = 0.728221 + 0.240175I
−1.43885 + 1.18607I 0
u = −0.511134 − 0.942278I
a = −0.510309 − 0.785824I
b = 0.728221 − 0.240175I
−1.43885 − 1.18607I 0
u = 0.109315 + 1.067490I
a = −1.044520 − 0.288762I
b = 1.57761 + 0.30682I
2.96478 + 2.48304I 0
u = 0.109315 − 1.067490I
a = −1.044520 + 0.288762I
b = 1.57761 − 0.30682I
2.96478 − 2.48304I 0
u = 0.937699 + 0.556938I
a = 1.011270 + 0.137655I
b = −1.39291 + 1.14364I
−5.15763 − 4.84349I 0
u = 0.937699 − 0.556938I
a = 1.011270 − 0.137655I
b = −1.39291 − 1.14364I
−5.15763 + 4.84349I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.339610 + 0.817318I
a = 1.330100 + 0.155899I
b = −0.950681 + 1.002080I
0.89894 − 3.65454I 0
u = 0.339610 − 0.817318I
a = 1.330100 − 0.155899I
b = −0.950681 − 1.002080I
0.89894 + 3.65454I 0
u = −0.349145 + 1.075030I
a = −0.568975 + 0.272748I
b = 1.65574 + 0.67973I
1.62245 + 2.60387I 0
u = −0.349145 − 1.075030I
a = −0.568975 − 0.272748I
b = 1.65574 − 0.67973I
1.62245 − 2.60387I 0
u = −1.098200 + 0.303797I
a = −0.529365 + 0.760181I
b = 1.68166 − 0.68588I
1.50077 + 3.70830I 0
u = −1.098200 − 0.303797I
a = −0.529365 − 0.760181I
b = 1.68166 + 0.68588I
1.50077 − 3.70830I 0
u = 1.063430 + 0.415070I
a = 0.731892 + 0.899330I
b = −2.15499 + 0.13134I
0.28023 − 8.17446I 0
u = 1.063430 − 0.415070I
a = 0.731892 − 0.899330I
b = −2.15499 − 0.13134I
0.28023 + 8.17446I 0
u = 0.843079 + 0.004461I
a = 0.94258 − 1.29640I
b = −1.020810 − 0.804279I
−3.90048 + 2.86379I −12.70957 − 3.37032I
u = 0.843079 − 0.004461I
a = 0.94258 + 1.29640I
b = −1.020810 + 0.804279I
−3.90048 − 2.86379I −12.70957 + 3.37032I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.689090 + 0.465253I
a = 0.78192 + 1.48139I
b = −0.629855 + 0.656777I
4.53262 − 2.55951I 0. + 5.41774I
u = 0.689090 − 0.465253I
a = 0.78192 − 1.48139I
b = −0.629855 − 0.656777I
4.53262 + 2.55951I 0. − 5.41774I
u = −0.769786 + 0.307928I
a = −0.75555 + 1.87167I
b = 0.724465 + 0.765281I
1.44846 + 6.07423I −8.51983 − 8.95436I
u = −0.769786 − 0.307928I
a = −0.75555 − 1.87167I
b = 0.724465 − 0.765281I
1.44846 − 6.07423I −8.51983 + 8.95436I
u = −1.122930 + 0.341047I
a = −0.446173 − 0.391470I
b = −0.213672 − 0.213557I
−1.62676 + 1.19848I 0
u = −1.122930 − 0.341047I
a = −0.446173 + 0.391470I
b = −0.213672 + 0.213557I
−1.62676 − 1.19848I 0
u = 1.140180 + 0.372827I
a = −0.604590 − 0.755206I
b = 1.91092 − 1.75877I
−5.82282 − 8.40734I 0
u = 1.140180 − 0.372827I
a = −0.604590 + 0.755206I
b = 1.91092 + 1.75877I
−5.82282 + 8.40734I 0
u = 1.026990 + 0.626258I
a = −0.231968 − 0.570644I
b = 1.72440 + 0.28794I
−0.98951 − 1.68305I 0
u = 1.026990 − 0.626258I
a = −0.231968 + 0.570644I
b = 1.72440 − 0.28794I
−0.98951 + 1.68305I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.402294 + 0.678247I
a = 0.93978 − 1.32938I
b = −1.48153 + 0.09132I
−1.22583 − 3.66754I −9.11449 + 4.85815I
u = −0.402294 − 0.678247I
a = 0.93978 + 1.32938I
b = −1.48153 − 0.09132I
−1.22583 + 3.66754I −9.11449 − 4.85815I
u = 1.189940 + 0.245612I
a = 0.883135 + 0.115093I
b = −0.190686 − 0.130746I
−5.91342 − 3.60860I 0
u = 1.189940 − 0.245612I
a = 0.883135 − 0.115093I
b = −0.190686 + 0.130746I
−5.91342 + 3.60860I 0
u = 0.052145 + 0.782484I
a = −1.50194 − 0.43540I
b = 1.232120 + 0.323710I
2.77716 + 2.41448I −4.53664 − 0.91348I
u = 0.052145 − 0.782484I
a = −1.50194 + 0.43540I
b = 1.232120 − 0.323710I
2.77716 − 2.41448I −4.53664 + 0.91348I
u = −1.090480 + 0.551048I
a = −1.055870 + 0.721445I
b = 1.95862 + 1.14773I
−3.25503 + 8.43750I 0
u = −1.090480 − 0.551048I
a = −1.055870 − 0.721445I
b = 1.95862 − 1.14773I
−3.25503 − 8.43750I 0
u = −0.321016 + 1.182120I
a = −0.816921 + 0.677320I
b = 1.66328 − 0.04493I
−0.49197 − 11.78540I 0
u = −0.321016 − 1.182120I
a = −0.816921 − 0.677320I
b = 1.66328 + 0.04493I
−0.49197 + 11.78540I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.096860 + 0.556302I
a = 0.397651 − 0.643161I
b = −1.74397 − 0.16687I
−0.17581 + 2.44610I 0
u = −1.096860 − 0.556302I
a = 0.397651 + 0.643161I
b = −1.74397 + 0.16687I
−0.17581 − 2.44610I 0
u = −1.206520 + 0.374371I
a = 0.510833 − 0.633514I
b = −1.70086 − 1.25903I
−2.24342 + 2.29276I 0
u = −1.206520 − 0.374371I
a = 0.510833 + 0.633514I
b = −1.70086 + 1.25903I
−2.24342 − 2.29276I 0
u = −0.100398 + 0.728114I
a = 0.369502 + 1.030620I
b = −1.090540 − 0.334120I
−3.43026 − 6.84438I −9.15397 + 4.49126I
u = −0.100398 − 0.728114I
a = 0.369502 − 1.030620I
b = −1.090540 + 0.334120I
−3.43026 + 6.84438I −9.15397 − 4.49126I
u = −0.730778 + 0.024594I
a = −0.399238 − 1.036930I
b = 2.04057 − 0.63998I
0.633867 + 0.803768I −7.63171 + 0.92685I
u = −0.730778 − 0.024594I
a = −0.399238 + 1.036930I
b = 2.04057 + 0.63998I
0.633867 − 0.803768I −7.63171 − 0.92685I
u = 0.355810 + 1.220390I
a = 0.732143 + 0.582141I
b = −1.59753 + 0.19599I
4.14010 + 5.70398I 0
u = 0.355810 − 1.220390I
a = 0.732143 − 0.582141I
b = −1.59753 − 0.19599I
4.14010 − 5.70398I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.168290 + 0.508172I
a = 0.854222 + 0.727442I
b = −1.64945 + 0.79028I
−0.30412 − 7.10088I 0
u = 1.168290 − 0.508172I
a = 0.854222 − 0.727442I
b = −1.64945 − 0.79028I
−0.30412 + 7.10088I 0
u = 1.182880 + 0.489928I
a = −0.619090 + 0.541895I
b = 0.230254 − 0.078235I
−1.60861 − 6.49346I 0
u = 1.182880 − 0.489928I
a = −0.619090 − 0.541895I
b = 0.230254 + 0.078235I
−1.60861 + 6.49346I 0
u = −0.480657 + 0.534207I
a = −0.339079 + 0.353240I
b = −0.232339 + 0.496764I
−1.05237 + 1.81935I −6.00348 − 3.96676I
u = −0.480657 − 0.534207I
a = −0.339079 − 0.353240I
b = −0.232339 − 0.496764I
−1.05237 − 1.81935I −6.00348 + 3.96676I
u = −1.183850 + 0.498766I
a = 0.782554 + 0.650321I
b = −0.038507 − 0.250979I
−6.51949 + 11.45360I 0
u = −1.183850 − 0.498766I
a = 0.782554 − 0.650321I
b = −0.038507 + 0.250979I
−6.51949 − 11.45360I 0
u = 1.218530 + 0.411280I
a = −0.596314 − 0.505551I
b = 1.20991 − 1.49840I
−7.13489 + 2.71411I 0
u = 1.218530 − 0.411280I
a = −0.596314 + 0.505551I
b = 1.20991 + 1.49840I
−7.13489 − 2.71411I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.106860 + 0.693628I
a = −0.154203 + 0.682438I
b = 0.725781 + 0.104715I
1.49461 + 1.97845I −4.28245 − 4.91364I
u = 0.106860 − 0.693628I
a = −0.154203 − 0.682438I
b = 0.725781 − 0.104715I
1.49461 − 1.97845I −4.28245 + 4.91364I
u = −1.289100 + 0.419570I
a = −0.853267 + 0.726222I
b = 1.042190 + 0.763261I
−3.84070 + 7.79723I 0
u = −1.289100 − 0.419570I
a = −0.853267 − 0.726222I
b = 1.042190 − 0.763261I
−3.84070 − 7.79723I 0
u = 0.501822 + 0.395796I
a = −1.07177 − 1.98688I
b = 1.18109 − 0.94964I
2.05671 + 4.61879I −1.72164 − 0.99130I
u = 0.501822 − 0.395796I
a = −1.07177 + 1.98688I
b = 1.18109 + 0.94964I
2.05671 − 4.61879I −1.72164 + 0.99130I
u = −0.625537 + 0.127848I
a = 0.12337 − 2.08179I
b = −0.17077 − 1.57240I
3.37647 − 1.41965I −6.14080 − 6.15322I
u = −0.625537 − 0.127848I
a = 0.12337 + 2.08179I
b = −0.17077 + 1.57240I
3.37647 + 1.41965I −6.14080 + 6.15322I
u = −1.161250 + 0.781946I
a = −0.714807 + 0.479535I
b = 1.61962 + 1.15868I
0.75621 + 5.36777I 0
u = −1.161250 − 0.781946I
a = −0.714807 − 0.479535I
b = 1.61962 − 1.15868I
0.75621 − 5.36777I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.30967 + 0.55909I
a = 0.254406 + 0.668630I
b = −0.088899 + 0.527247I
−4.11139 + 0.22883I 0
u = −1.30967 − 0.55909I
a = 0.254406 − 0.668630I
b = −0.088899 − 0.527247I
−4.11139 − 0.22883I 0
u = 0.568954 + 0.051702I
a = −0.010636 + 0.939943I
b = −2.60576 − 0.00022I
−3.29751 + 5.91017I −8.26846 + 1.15510I
u = 0.568954 − 0.051702I
a = −0.010636 − 0.939943I
b = −2.60576 + 0.00022I
−3.29751 − 5.91017I −8.26846 − 1.15510I
u = 1.42208 + 0.23628I
a = −0.205088 + 0.391811I
b = 0.097993 − 0.452119I
−7.70780 − 4.93574I 0
u = 1.42208 − 0.23628I
a = −0.205088 − 0.391811I
b = 0.097993 + 0.452119I
−7.70780 + 4.93574I 0
u = −1.28561 + 0.68101I
a = 0.853011 − 0.554546I
b = −1.91955 − 1.09572I
−3.5615 + 18.3556I 0
u = −1.28561 − 0.68101I
a = 0.853011 + 0.554546I
b = −1.91955 + 1.09572I
−3.5615 − 18.3556I 0
u = −0.69776 + 1.28329I
a = 0.525833 − 0.411533I
b = −1.66462 − 0.25778I
2.46400 + 1.88919I 0
u = −0.69776 − 1.28329I
a = 0.525833 + 0.411533I
b = −1.66462 + 0.25778I
2.46400 − 1.88919I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.29542 + 0.68768I
a = −0.773963 − 0.522788I
b = 1.92236 − 0.96916I
1.07559 − 12.41720I 0
u = 1.29542 − 0.68768I
a = −0.773963 + 0.522788I
b = 1.92236 + 0.96916I
1.07559 + 12.41720I 0
u = −1.46675 + 0.10797I
a = 0.203099 + 0.476024I
b = −0.381772 + 0.176585I
−3.16691 − 0.95888I 0
u = −1.46675 − 0.10797I
a = 0.203099 − 0.476024I
b = −0.381772 − 0.176585I
−3.16691 + 0.95888I 0
u = 1.32817 + 0.64795I
a = 0.696162 + 0.676195I
b = −1.46478 + 1.19103I
−0.82407 − 8.70596I 0
u = 1.32817 − 0.64795I
a = 0.696162 − 0.676195I
b = −1.46478 − 1.19103I
−0.82407 + 8.70596I 0
u = −1.27034 + 0.79509I
a = 0.711267 − 0.317864I
b = −1.80415 − 0.71320I
−3.38380 + 5.47099I 0
u = −1.27034 − 0.79509I
a = 0.711267 + 0.317864I
b = −1.80415 + 0.71320I
−3.38380 − 5.47099I 0
u = 0.222265 + 0.414714I
a = 0.18402 − 1.79342I
b = 0.512831 + 0.591648I
−3.77648 + 1.13028I −11.93912 − 1.05833I
u = 0.222265 − 0.414714I
a = 0.18402 + 1.79342I
b = 0.512831 − 0.591648I
−3.77648 − 1.13028I −11.93912 + 1.05833I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.60795 + 0.13510I
a = −0.206613 + 0.492939I
b = −0.087635 + 0.380931I
−7.53811 + 6.57319I 0
u = 1.60795 − 0.13510I
a = −0.206613 − 0.492939I
b = −0.087635 − 0.380931I
−7.53811 − 6.57319I 0
u = −0.273696
a = −1.49428
b = −0.344561
−0.749139 −13.7710
15
II. I
u
2
= h4.26 × 10
5
u
22
+ 8.07 × 10
5
u
21
+ · · · + 7.57 × 10
4
b − 8.68 × 10
5
, 6.38 ×
10
5
u
22
+ 1.11 × 10
6
u
21
+ · · · + 7.57 × 10
4
a − 1.83 × 10
6
, u
23
+ u
22
+ · · · − u + 1i
(i) Arc colorings
a
6
=
0
u
a
9
=
1
0
a
10
=
1
u
2
a
2
=
−8.43110u
22
− 14.7236u
21
+ ··· + 9.55038u + 24.1249
−5.62706u
22
− 10.6647u
21
+ ··· − 1.67146u + 11.4750
a
7
=
−u
−u
3
+ u
a
1
=
−11.9377u
22
− 20.9171u
21
+ ··· + 11.9498u + 34.1380
−2.48312u
22
− 5.36672u
21
+ ··· − 3.25115u + 4.14875
a
5
=
−10.8301u
22
− 20.1771u
21
+ ··· − 17.1024u + 13.9789
−2.88013u
22
− 4.50412u
21
+ ··· + 2.39475u + 7.91648
a
3
=
16.4908u
22
+ 24.5150u
21
+ ··· − 28.5754u − 38.5222
−13.8335u
22
− 22.6391u
21
+ ··· + 2.11152u + 18.2975
a
4
=
−13.7103u
22
− 24.6813u
21
+ ··· − 14.7077u + 21.8954
−2.88013u
22
− 4.50412u
21
+ ··· + 2.39475u + 7.91648
a
11
=
−8.39680u
22
− 18.0128u
21
+ ··· − 16.8915u + 13.5888
−6.32147u
22
− 9.13635u
21
+ ··· + 11.4126u + 15.3347
a
8
=
22.4258u
22
+ 36.9455u
21
+ ··· − 13.6351u − 40.7200
6.19350u
22
+ 9.24305u
21
+ ··· − 8.90597u − 13.5198
a
8
=
22.4258u
22
+ 36.9455u
21
+ ··· − 13.6351u − 40.7200
6.19350u
22
+ 9.24305u
21
+ ··· − 8.90597u − 13.5198
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
3714020
75671
u
22
−
4573163
75671
u
21
+ ··· +
7421079
75671
u +
5642156
75671
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
23
+ 2u
21
+ ··· + 15u + 7
c
2
u
23
− 8u
22
+ ··· + 4u − 1
c
3
u
23
+ 3u
22
+ ··· + 4u + 1
c
4
u
23
+ 6u
20
+ ··· + 3u − 7
c
5
u
23
+ 8u
22
+ ··· + 4u + 1
c
6
u
23
− u
22
+ ··· − u − 1
c
7
u
23
− u
21
+ ··· + 4u − 1
c
8
u
23
+ 2u
22
+ ··· − 6u − 1
c
9
u
23
+ u
22
+ ··· − u + 1
c
10
u
23
+ u
22
+ ··· + u
2
− 1
c
11
u
23
− 2u
22
+ ··· − 6u + 1
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
23
+ 4y
22
+ ··· − 55y −49
c
2
, c
5
y
23
+ 12y
22
+ ··· − 20y −1
c
3
y
23
− 9y
22
+ ··· − 6y −1
c
4
y
23
+ 6y
21
+ ··· + 191y −49
c
6
, c
9
y
23
− 13y
22
+ ··· + 19y −1
c
7
y
23
− 2y
22
+ ··· + 20y −1
c
8
, c
11
y
23
+ 18y
22
+ ··· + 2y −1
c
10
y
23
− 11y
22
+ ··· + 2y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.943434 + 0.263211I
a = 1.43599 − 0.63189I
b = −0.363534 + 0.388836I
−6.19249 − 1.08021I −7.69289 + 6.14791I
u = 0.943434 − 0.263211I
a = 1.43599 + 0.63189I
b = −0.363534 − 0.388836I
−6.19249 + 1.08021I −7.69289 − 6.14791I
u = −0.940585 + 0.485041I
a = 0.394246 − 0.629144I
b = −1.94942 + 0.19915I
1.08785 + 2.06017I −3.20695 − 2.61947I
u = −0.940585 − 0.485041I
a = 0.394246 + 0.629144I
b = −1.94942 − 0.19915I
1.08785 − 2.06017I −3.20695 + 2.61947I
u = −0.327032 + 1.095140I
a = −0.978412 + 0.127508I
b = 1.47458 + 0.55621I
3.01480 + 3.49113I −0.56270 − 8.28702I
u = −0.327032 − 1.095140I
a = −0.978412 − 0.127508I
b = 1.47458 − 0.55621I
3.01480 − 3.49113I −0.56270 + 8.28702I
u = −1.15270
a = −0.675521
b = 0.483652
−3.56069 −10.8570
u = −0.565856 + 1.036780I
a = 0.517614 − 0.406082I
b = −1.86373 − 0.43547I
1.64013 + 2.16694I −5.84411 + 2.66864I
u = −0.565856 − 1.036780I
a = 0.517614 + 0.406082I
b = −1.86373 + 0.43547I
1.64013 − 2.16694I −5.84411 − 2.66864I
u = −1.208660 + 0.351445I
a = −0.456152 − 0.650182I
b = 0.228499 − 0.262781I
−3.85538 − 0.13822I −11.25047 + 3.93197I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.208660 − 0.351445I
a = −0.456152 + 0.650182I
b = 0.228499 + 0.262781I
−3.85538 + 0.13822I −11.25047 − 3.93197I
u = −1.077960 + 0.700882I
a = −0.894195 + 0.337719I
b = 1.64141 + 0.57971I
−2.85361 + 5.57806I −8.34402 − 8.14975I
u = −1.077960 − 0.700882I
a = −0.894195 − 0.337719I
b = 1.64141 − 0.57971I
−2.85361 − 5.57806I −8.34402 + 8.14975I
u = 1.201160 + 0.497784I
a = 0.797343 + 0.825084I
b = −1.60073 + 0.96244I
−1.65661 − 8.03479I −10.73175 + 6.86683I
u = 1.201160 − 0.497784I
a = 0.797343 − 0.825084I
b = −1.60073 − 0.96244I
−1.65661 + 8.03479I −10.73175 − 6.86683I
u = 0.616353 + 0.221590I
a = −0.828049 − 0.644929I
b = 2.69422 − 0.33627I
−3.39178 − 6.41701I −11.3847 + 13.7261I
u = 0.616353 − 0.221590I
a = −0.828049 + 0.644929I
b = 2.69422 + 0.33627I
−3.39178 + 6.41701I −11.3847 − 13.7261I
u = −0.565804 + 0.138948I
a = −0.66175 + 2.10895I
b = −0.275737 + 1.340270I
3.40764 + 1.98502I −5.23404 − 6.40618I
u = −0.565804 − 0.138948I
a = −0.66175 − 2.10895I
b = −0.275737 − 1.340270I
3.40764 − 1.98502I −5.23404 + 6.40618I
u = 0.552708 + 0.145534I
a = −0.42634 − 2.64226I
b = 0.940571 − 0.482858I
1.36627 + 4.91196I −10.94228 − 4.46028I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.552708 − 0.145534I
a = −0.42634 + 2.64226I
b = 0.940571 + 0.482858I
1.36627 − 4.91196I −10.94228 + 4.46028I
u = 1.44859 + 0.07041I
a = −0.062533 − 0.290866I
b = −0.667953 − 0.088864I
−7.23583 − 5.57214I −8.37775 + 4.83062I
u = 1.44859 − 0.07041I
a = −0.062533 + 0.290866I
b = −0.667953 + 0.088864I
−7.23583 + 5.57214I −8.37775 − 4.83062I
21
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
23
+ 2u
21
+ ··· + 15u + 7)(u
103
+ u
102
+ ··· − 35693u + 3817)
c
2
(u
23
− 8u
22
+ ··· + 4u − 1)(u
103
+ 7u
102
+ ··· − 488u + 403)
c
3
(u
23
+ 3u
22
+ ··· + 4u + 1)(u
103
− 8u
102
+ ··· − 52u + 8)
c
4
(u
23
+ 6u
20
+ ··· + 3u − 7)(u
103
− u
102
+ ··· + 257024u + 34816)
c
5
(u
23
+ 8u
22
+ ··· + 4u + 1)(u
103
+ 7u
102
+ ··· − 488u + 403)
c
6
(u
23
− u
22
+ ··· − u − 1)(u
103
+ 4u
102
+ ··· + 469u + 109)
c
7
(u
23
− u
21
+ ··· + 4u − 1)(u
103
− u
102
+ ··· − 6340u + 2537)
c
8
(u
23
+ 2u
22
+ ··· − 6u − 1)(u
103
+ 5u
102
+ ··· + 44u + 1)
c
9
(u
23
+ u
22
+ ··· − u + 1)(u
103
+ 4u
102
+ ··· + 469u + 109)
c
10
(u
23
+ u
22
+ ··· + u
2
− 1)(u
103
+ 2u
102
+ ··· + 366u + 343)
c
11
(u
23
− 2u
22
+ ··· − 6u + 1)(u
103
+ 5u
102
+ ··· + 44u + 1)
22
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
23
+ 4y
22
+ ··· − 55y −49)
· (y
103
+ 17y
102
+ ··· − 648571579y −14569489)
c
2
, c
5
(y
23
+ 12y
22
+ ··· − 20y −1)
· (y
103
+ 53y
102
+ ··· − 6001908y −162409)
c
3
(y
23
− 9y
22
+ ··· − 6y −1)(y
103
− 16y
102
+ ··· + 1424y −64)
c
4
(y
23
+ 6y
21
+ ··· + 191y −49)
· (y
103
− 23y
102
+ ··· − 61678288896y −1212153856)
c
6
, c
9
(y
23
− 13y
22
+ ··· + 19y −1)(y
103
− 56y
102
+ ··· + 439051y −11881)
c
7
(y
23
− 2y
22
+ ··· + 20y −1)
· (y
103
− 17y
102
+ ··· + 318453760y −6436369)
c
8
, c
11
(y
23
+ 18y
22
+ ··· + 2y −1)(y
103
+ 75y
102
+ ··· + 218y −1)
c
10
(y
23
− 11y
22
+ ··· + 2y −1)(y
103
− 22y
102
+ ··· − 423762y −117649)
23
