12a
1154
(K12a
1154
)
A knot diagram
1
Linearized knot diagam
4 9 7 10 11 1 3 12 2 6 5 8
Solving Sequence
6,10
11 5 12
2,4
1 7 3 9 8
c
10
c
5
c
11
c
4
c
1
c
6
c
3
c
9
c
8
c
2
, c
7
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h1.09583 × 10
187
u
124
+ 1.47205 × 10
187
u
123
+ ··· + 1.32214 × 10
187
b − 3.17493 × 10
187
,
2.48538 × 10
188
u
124
+ 1.28444 × 10
188
u
123
+ ··· + 3.04093 × 10
188
a + 2.28676 × 10
189
,
u
125
+ u
124
+ ··· + 19u − 23i
I
u
2
= h2u
26
+ 27u
24
+ ··· + b + 2, −u
26
− 13u
24
+ ··· + a − 3u, u
28
+ 15u
26
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 153 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
= h1.10 × 10
187
u
124
+ 1.47 × 10
187
u
123
+ · · · + 1.32 × 10
187
b − 3.17 ×
10
187
, 2.49 × 10
188
u
124
+ 1.28 × 10
188
u
123
+ · · · + 3.04 × 10
188
a + 2.29 ×
10
189
, u
125
+ u
124
+ · · · + 19u − 23i
(i) Arc colorings
a
6
=
0
u
a
10
=
1
0
a
11
=
1
u
2
a
5
=
u
u
3
+ u
a
12
=
u
2
+ 1
u
4
+ 2u
2
a
2
=
−0.817311u
124
− 0.422384u
123
+ ··· + 21.4221u − 7.51993
−0.828833u
124
− 1.11339u
123
+ ··· + 6.97604u + 2.40135
a
4
=
u
3
+ 2u
u
3
+ u
a
1
=
−0.398063u
124
− 0.00318916u
123
+ ··· + 14.0713u − 8.86039
−0.852392u
124
− 0.544593u
123
+ ··· + 14.0207u − 5.08153
a
7
=
−0.763206u
124
− 0.341190u
123
+ ··· + 10.1704u − 0.273912
−0.323077u
124
− 1.56545u
123
+ ··· − 18.7761u + 18.8635
a
3
=
0.0347761u
124
− 1.18286u
123
+ ··· − 39.1572u + 22.7355
1.29484u
124
+ 1.59022u
123
+ ··· − 24.4400u − 8.11008
a
9
=
0.0322430u
124
+ 0.175512u
123
+ ··· + 5.98930u − 2.90839
0.0416674u
124
− 0.783353u
123
+ ··· − 7.09724u + 12.7663
a
8
=
−0.365198u
124
− 0.237865u
123
+ ··· + 13.2826u + 1.85461
−0.109250u
124
− 1.22652u
123
+ ··· − 12.3287u + 18.9750
(ii) Obstruction class = −1
(iii) Cusp Shapes = −2.33472u
124
− 1.85809u
123
+ ··· + 18.7329u + 4.03182
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
125
− 5u
124
+ ··· + 66970759u − 9604921
c
2
, c
9
u
125
+ u
124
+ ··· + 58283u + 322681
c
3
, c
7
u
125
− 3u
124
+ ··· − 3384u + 306
c
4
u
125
+ u
124
+ ··· + 5145656u + 1855180
c
5
, c
10
, c
11
u
125
− u
124
+ ··· + 19u + 23
c
6
u
125
− u
124
+ ··· + 11584u + 704
c
8
, c
12
u
125
+ 3u
124
+ ··· + 3u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
125
− 41y
124
+ ··· + 3683462059155047y −92254507416241
c
2
, c
9
y
125
+ 95y
124
+ ··· − 1169830550105y −104123027761
c
3
, c
7
y
125
+ 81y
124
+ ··· − 2036412y −93636
c
4
y
125
− 27y
124
+ ··· − 685380301864y −3441692832400
c
5
, c
10
, c
11
y
125
+ 113y
124
+ ··· + 6847y −529
c
6
y
125
− 7y
124
+ ··· + 22089728y −495616
c
8
, c
12
y
125
+ 69y
124
+ ··· − 111y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.340848 + 0.915565I
a = −0.111395 − 0.905155I
b = −0.245831 − 1.381420I
−6.72206 + 2.98029I 0
u = 0.340848 − 0.915565I
a = −0.111395 + 0.905155I
b = −0.245831 + 1.381420I
−6.72206 − 2.98029I 0
u = −0.498938 + 0.924908I
a = 0.688406 − 0.880499I
b = 0.48397 − 1.38046I
−4.05699 − 9.38289I 0
u = −0.498938 − 0.924908I
a = 0.688406 + 0.880499I
b = 0.48397 + 1.38046I
−4.05699 + 9.38289I 0
u = 0.554728 + 0.898131I
a = 0.683786 + 1.018720I
b = 0.296850 + 1.257420I
−0.17442 + 2.83174I 0
u = 0.554728 − 0.898131I
a = 0.683786 − 1.018720I
b = 0.296850 − 1.257420I
−0.17442 − 2.83174I 0
u = 0.892864 + 0.219253I
a = −0.76444 − 1.60725I
b = −0.052315 − 1.161650I
−6.49982 + 2.60043I 0
u = 0.892864 − 0.219253I
a = −0.76444 + 1.60725I
b = −0.052315 + 1.161650I
−6.49982 − 2.60043I 0
u = 0.528377 + 0.967319I
a = −0.311887 − 1.052810I
b = 0.210188 − 1.235040I
−4.16882 − 7.58086I 0
u = 0.528377 − 0.967319I
a = −0.311887 + 1.052810I
b = 0.210188 + 1.235040I
−4.16882 + 7.58086I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.850392 + 0.264999I
a = 0.42054 + 2.18381I
b = −0.408670 + 1.342540I
−2.14965 − 7.71464I 0
u = 0.850392 − 0.264999I
a = 0.42054 − 2.18381I
b = −0.408670 − 1.342540I
−2.14965 + 7.71464I 0
u = −0.838995 + 0.248343I
a = 0.40094 − 2.33640I
b = −0.58804 − 1.44317I
−6.1658 + 14.1084I 0
u = −0.838995 − 0.248343I
a = 0.40094 + 2.33640I
b = −0.58804 + 1.44317I
−6.1658 − 14.1084I 0
u = −0.337040 + 0.791236I
a = 0.869377 − 1.016040I
b = −0.06119 − 1.42359I
−6.49330 + 2.52776I 0
u = −0.337040 − 0.791236I
a = 0.869377 + 1.016040I
b = −0.06119 + 1.42359I
−6.49330 − 2.52776I 0
u = −0.430247 + 1.089970I
a = −0.221108 + 1.056670I
b = −0.055668 + 1.115260I
−1.39054 + 1.02951I 0
u = −0.430247 − 1.089970I
a = −0.221108 − 1.056670I
b = −0.055668 − 1.115260I
−1.39054 − 1.02951I 0
u = 0.137475 + 1.166180I
a = −0.276095 − 0.958000I
b = 1.234540 + 0.499683I
1.21107 + 4.31656I 0
u = 0.137475 − 1.166180I
a = −0.276095 + 0.958000I
b = 1.234540 − 0.499683I
1.21107 − 4.31656I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.752600 + 0.314780I
a = 0.89107 − 2.05723I
b = −0.05083 − 1.49446I
−8.07623 + 1.52357I 0
u = −0.752600 − 0.314780I
a = 0.89107 + 2.05723I
b = −0.05083 + 1.49446I
−8.07623 − 1.52357I 0
u = −0.803752 + 0.134620I
a = −0.53608 + 2.00935I
b = 0.302285 + 1.050030I
−4.32587 + 3.37937I 0
u = −0.803752 − 0.134620I
a = −0.53608 − 2.00935I
b = 0.302285 − 1.050030I
−4.32587 − 3.37937I 0
u = 0.776254 + 0.221110I
a = −1.00138 − 2.14211I
b = 0.382207 − 1.337890I
−8.90871 − 7.12545I 0
u = 0.776254 − 0.221110I
a = −1.00138 + 2.14211I
b = 0.382207 + 1.337890I
−8.90871 + 7.12545I 0
u = −0.248167 + 1.185700I
a = −0.0296371 + 0.0905982I
b = −0.716422 + 0.562301I
−0.691660 + 0.431217I 0
u = −0.248167 − 1.185700I
a = −0.0296371 − 0.0905982I
b = −0.716422 − 0.562301I
−0.691660 − 0.431217I 0
u = −0.304361 + 1.180290I
a = −0.344166 + 0.730427I
b = −0.429143 + 0.995944I
−0.868368 + 0.641181I 0
u = −0.304361 − 1.180290I
a = −0.344166 − 0.730427I
b = −0.429143 − 0.995944I
−0.868368 − 0.641181I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.773750 + 0.042966I
a = 0.61397 − 2.46697I
b = 0.80451 − 1.46360I
−5.86642 − 3.85477I −11.74688 + 4.39207I
u = 0.773750 − 0.042966I
a = 0.61397 + 2.46697I
b = 0.80451 + 1.46360I
−5.86642 + 3.85477I −11.74688 − 4.39207I
u = −0.768739 + 0.089705I
a = −0.02139 + 1.92761I
b = 0.594173 + 0.892727I
−4.17195 + 3.26627I −10.00650 − 1.32057I
u = −0.768739 − 0.089705I
a = −0.02139 − 1.92761I
b = 0.594173 − 0.892727I
−4.17195 − 3.26627I −10.00650 + 1.32057I
u = 0.330357 + 1.215530I
a = −1.021080 − 0.409132I
b = −0.61662 − 1.52243I
−2.26524 − 0.14116I 0
u = 0.330357 − 1.215530I
a = −1.021080 + 0.409132I
b = −0.61662 + 1.52243I
−2.26524 + 0.14116I 0
u = −0.196324 + 1.250600I
a = −1.70270 + 1.86146I
b = −0.057845 + 0.889279I
1.44511 − 2.61518I 0
u = −0.196324 − 1.250600I
a = −1.70270 − 1.86146I
b = −0.057845 − 0.889279I
1.44511 + 2.61518I 0
u = −0.726759 + 0.065859I
a = −0.060633 + 1.051140I
b = 0.591286 + 0.340079I
−4.05104 + 3.15610I −10.70719 − 3.30707I
u = −0.726759 − 0.065859I
a = −0.060633 − 1.051140I
b = 0.591286 − 0.340079I
−4.05104 − 3.15610I −10.70719 + 3.30707I
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.693099 + 0.183068I
a = −1.292300 + 0.422705I
b = −1.391280 + 0.066544I
−1.38758 − 7.40448I −7.02296 + 8.37839I
u = 0.693099 − 0.183068I
a = −1.292300 − 0.422705I
b = −1.391280 − 0.066544I
−1.38758 + 7.40448I −7.02296 − 8.37839I
u = −0.046635 + 1.287770I
a = −0.758284 + 0.544829I
b = 0.635654 − 0.597846I
4.28680 − 1.45348I 0
u = −0.046635 − 1.287770I
a = −0.758284 − 0.544829I
b = 0.635654 + 0.597846I
4.28680 + 1.45348I 0
u = −0.564516 + 0.429347I
a = 0.818053 − 0.144908I
b = −0.123678 − 1.009990I
0.06775 + 1.89749I −7.90333 − 4.35554I
u = −0.564516 − 0.429347I
a = 0.818053 + 0.144908I
b = −0.123678 + 1.009990I
0.06775 − 1.89749I −7.90333 + 4.35554I
u = −0.652661 + 0.267575I
a = −0.587740 − 0.137136I
b = −0.811569 − 0.060542I
2.26408 + 3.22254I −0.33234 − 5.25463I
u = −0.652661 − 0.267575I
a = −0.587740 + 0.137136I
b = −0.811569 + 0.060542I
2.26408 − 3.22254I −0.33234 + 5.25463I
u = −0.219087 + 1.276410I
a = 1.127680 − 0.827768I
b = 0.24438 − 2.07383I
−3.67207 + 2.44301I 0
u = −0.219087 − 1.276410I
a = 1.127680 + 0.827768I
b = 0.24438 + 2.07383I
−3.67207 − 2.44301I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.215442 + 1.279850I
a = −1.83572 − 1.07105I
b = 0.226682 − 1.009400I
3.02162 − 1.87519I 0
u = 0.215442 − 1.279850I
a = −1.83572 + 1.07105I
b = 0.226682 + 1.009400I
3.02162 + 1.87519I 0
u = −0.436624 + 0.534366I
a = 0.220494 + 1.214380I
b = 0.522002 + 0.167498I
3.29281 + 0.31372I 2.80843 − 2.31824I
u = −0.436624 − 0.534366I
a = 0.220494 − 1.214380I
b = 0.522002 − 0.167498I
3.29281 − 0.31372I 2.80843 + 2.31824I
u = 0.235106 + 1.293160I
a = 0.364121 + 0.469129I
b = −0.664795 − 0.272996I
2.65156 − 3.08213I 0
u = 0.235106 − 1.293160I
a = 0.364121 − 0.469129I
b = −0.664795 + 0.272996I
2.65156 + 3.08213I 0
u = 0.015582 + 1.317400I
a = −1.105350 + 0.317627I
b = 0.582769 − 0.267389I
4.64909 − 1.58007I 0
u = 0.015582 − 1.317400I
a = −1.105350 − 0.317627I
b = 0.582769 + 0.267389I
4.64909 + 1.58007I 0
u = 0.180831 + 1.309650I
a = −0.473535 + 0.469984I
b = 0.583290 + 1.103680I
4.17335 − 1.66212I 0
u = 0.180831 − 1.309650I
a = −0.473535 − 0.469984I
b = 0.583290 − 1.103680I
4.17335 + 1.66212I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.289761 + 1.293060I
a = 0.989142 − 0.706229I
b = −0.515539 − 0.025648I
0.17001 + 6.83659I 0
u = −0.289761 − 1.293060I
a = 0.989142 + 0.706229I
b = −0.515539 + 0.025648I
0.17001 − 6.83659I 0
u = 0.324771 + 1.290360I
a = 1.21073 + 1.45302I
b = −0.97037 + 1.41136I
−1.71317 − 7.81386I 0
u = 0.324771 − 1.290360I
a = 1.21073 − 1.45302I
b = −0.97037 − 1.41136I
−1.71317 + 7.81386I 0
u = 0.583415 + 0.324812I
a = 0.884511 − 0.373097I
b = 0.485412 + 0.570737I
−0.90225 − 2.30911I −6.85264 + 3.71826I
u = 0.583415 − 0.324812I
a = 0.884511 + 0.373097I
b = 0.485412 − 0.570737I
−0.90225 + 2.30911I −6.85264 − 3.71826I
u = 0.237555 + 1.314120I
a = 0.77250 + 1.77537I
b = −0.137155 + 1.280630I
3.43939 − 4.12769I 0
u = 0.237555 − 1.314120I
a = 0.77250 − 1.77537I
b = −0.137155 − 1.280630I
3.43939 + 4.12769I 0
u = −0.259989 + 1.318720I
a = −1.62738 + 0.84298I
b = 0.51699 + 1.68221I
−3.06692 + 3.75009I 0
u = −0.259989 − 1.318720I
a = −1.62738 − 0.84298I
b = 0.51699 − 1.68221I
−3.06692 − 3.75009I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.131633 + 1.345770I
a = −0.948560 + 0.286504I
b = 0.635017 − 0.928309I
4.08121 − 2.20068I 0
u = −0.131633 − 1.345770I
a = −0.948560 − 0.286504I
b = 0.635017 + 0.928309I
4.08121 + 2.20068I 0
u = −0.255230 + 1.336010I
a = 1.39709 − 1.94966I
b = −0.393229 − 1.132540I
2.51040 + 8.71926I 0
u = −0.255230 − 1.336010I
a = 1.39709 + 1.94966I
b = −0.393229 + 1.132540I
2.51040 − 8.71926I 0
u = −0.328695 + 1.323660I
a = 1.13195 − 1.24233I
b = −0.741610 − 0.824456I
0.26251 + 7.23113I 0
u = −0.328695 − 1.323660I
a = 1.13195 + 1.24233I
b = −0.741610 + 0.824456I
0.26251 − 7.23113I 0
u = −0.624072 + 0.099925I
a = −0.08161 + 3.84243I
b = 0.296658 + 1.005020I
−2.03739 + 5.50074I −8.48984 − 8.67497I
u = −0.624072 − 0.099925I
a = −0.08161 − 3.84243I
b = 0.296658 − 1.005020I
−2.03739 − 5.50074I −8.48984 + 8.67497I
u = −0.619521 + 0.063745I
a = 0.51334 − 3.33762I
b = −0.31870 − 1.84051I
−7.44741 + 0.52198I −11.59595 + 3.31315I
u = −0.619521 − 0.063745I
a = 0.51334 + 3.33762I
b = −0.31870 + 1.84051I
−7.44741 − 0.52198I −11.59595 − 3.31315I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.619300
a = 0.345528
b = 0.581666
−1.40150 −6.65070
u = 0.204019 + 1.372700I
a = −1.165870 − 0.153117I
b = 0.751535 − 0.653099I
4.83855 − 3.02411I 0
u = 0.204019 − 1.372700I
a = −1.165870 + 0.153117I
b = 0.751535 + 0.653099I
4.83855 + 3.02411I 0
u = −0.330062 + 1.351050I
a = 1.35822 − 1.09139I
b = −0.477296 − 1.049090I
0.35641 + 7.44685I 0
u = −0.330062 − 1.351050I
a = 1.35822 + 1.09139I
b = −0.477296 + 1.049090I
0.35641 − 7.44685I 0
u = 0.607240 + 0.039411I
a = 0.82030 − 3.43028I
b = 0.019276 − 1.113790I
−0.833655 − 1.062870I −7.01204 + 0.41551I
u = 0.607240 − 0.039411I
a = 0.82030 + 3.43028I
b = 0.019276 + 1.113790I
−0.833655 + 1.062870I −7.01204 − 0.41551I
u = 0.287452 + 1.368380I
a = −0.208589 − 0.915806I
b = 1.52695 + 0.07920I
3.52636 − 10.98350I 0
u = 0.287452 − 1.368380I
a = −0.208589 + 0.915806I
b = 1.52695 − 0.07920I
3.52636 + 10.98350I 0
u = 0.074472 + 1.406220I
a = 0.656615 + 0.928710I
b = −1.008110 + 0.516408I
6.41012 + 3.33269I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.074472 − 1.406220I
a = 0.656615 − 0.928710I
b = −1.008110 − 0.516408I
6.41012 − 3.33269I 0
u = −0.26664 + 1.39566I
a = −0.303603 + 0.452845I
b = 1.002100 + 0.003869I
7.54029 + 6.59891I 0
u = −0.26664 − 1.39566I
a = −0.303603 − 0.452845I
b = 1.002100 − 0.003869I
7.54029 − 6.59891I 0
u = 0.02155 + 1.42183I
a = −0.510261 − 0.583351I
b = 0.094077 + 1.084020I
0.31179 + 2.77482I 0
u = 0.02155 − 1.42183I
a = −0.510261 + 0.583351I
b = 0.094077 − 1.084020I
0.31179 − 2.77482I 0
u = 0.31879 + 1.39304I
a = 1.70653 + 0.82296I
b = −0.455915 + 1.284890I
−3.78527 − 11.08900I 0
u = 0.31879 − 1.39304I
a = 1.70653 − 0.82296I
b = −0.455915 − 1.284890I
−3.78527 + 11.08900I 0
u = 0.21554 + 1.42069I
a = −0.210078 + 0.845689I
b = −0.452322 − 0.455638I
4.68890 − 5.22665I 0
u = 0.21554 − 1.42069I
a = −0.210078 − 0.845689I
b = −0.452322 + 0.455638I
4.68890 + 5.22665I 0
u = −0.20624 + 1.43699I
a = −0.782670 − 0.689086I
b = 0.180937 + 0.830169I
6.00745 + 4.68503I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.20624 − 1.43699I
a = −0.782670 + 0.689086I
b = 0.180937 − 0.830169I
6.00745 − 4.68503I 0
u = 0.39742 + 1.39796I
a = 1.021840 + 0.660904I
b = −0.053927 + 1.050550I
−1.40294 − 2.04394I 0
u = 0.39742 − 1.39796I
a = 1.021840 − 0.660904I
b = −0.053927 − 1.050550I
−1.40294 + 2.04394I 0
u = −0.34687 + 1.41358I
a = −1.40436 + 1.18585I
b = 0.67058 + 1.45363I
−0.8873 + 18.3885I 0
u = −0.34687 − 1.41358I
a = −1.40436 − 1.18585I
b = 0.67058 − 1.45363I
−0.8873 − 18.3885I 0
u = 0.202120 + 0.498143I
a = 0.14612 − 2.07077I
b = 0.850224 − 0.031379I
0.47675 + 4.38194I −0.75562 − 2.42095I
u = 0.202120 − 0.498143I
a = 0.14612 + 2.07077I
b = 0.850224 + 0.031379I
0.47675 − 4.38194I −0.75562 + 2.42095I
u = 0.35037 + 1.42014I
a = −1.22090 − 1.13620I
b = 0.50501 − 1.36972I
3.20142 − 12.04610I 0
u = 0.35037 − 1.42014I
a = −1.22090 + 1.13620I
b = 0.50501 + 1.36972I
3.20142 + 12.04610I 0
u = −0.10501 + 1.46551I
a = 0.408836 − 0.564242I
b = −0.677651 − 0.532628I
9.79659 + 2.19888I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.10501 − 1.46551I
a = 0.408836 + 0.564242I
b = −0.677651 + 0.532628I
9.79659 − 2.19888I 0
u = 0.317198 + 0.402312I
a = 0.683787 + 0.402424I
b = −0.552303 + 0.623163I
−0.265890 − 0.837359I −4.82968 + 3.51480I
u = 0.317198 − 0.402312I
a = 0.683787 − 0.402424I
b = −0.552303 − 0.623163I
−0.265890 + 0.837359I −4.82968 − 3.51480I
u = −0.31524 + 1.45625I
a = −1.072850 + 0.701761I
b = 0.14270 + 1.47379I
−2.36914 + 5.44091I 0
u = −0.31524 − 1.45625I
a = −1.072850 − 0.701761I
b = 0.14270 − 1.47379I
−2.36914 − 5.44091I 0
u = 0.01936 + 1.53146I
a = 0.256955 − 0.074790I
b = −0.491608 + 1.106410I
4.43014 − 8.61440I 0
u = 0.01936 − 1.53146I
a = 0.256955 + 0.074790I
b = −0.491608 − 1.106410I
4.43014 + 8.61440I 0
u = 0.440159 + 0.028034I
a = 1.15770 + 1.31874I
b = −0.529648 + 0.847643I
0.048012 − 0.664722I −7.90784 − 0.62638I
u = 0.440159 − 0.028034I
a = 1.15770 − 1.31874I
b = −0.529648 − 0.847643I
0.048012 + 0.664722I −7.90784 + 0.62638I
u = 0.225269 + 0.328304I
a = 0.928812 + 0.365169I
b = −0.268086 + 0.558395I
−0.279242 − 0.947732I −5.53508 + 6.63588I
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.225269 − 0.328304I
a = 0.928812 − 0.365169I
b = −0.268086 − 0.558395I
−0.279242 + 0.947732I −5.53508 − 6.63588I
u = −0.301626 + 0.215018I
a = 1.187790 + 0.289335I
b = −0.618065 + 0.863757I
−0.78665 − 3.87297I −3.92014 − 1.05250I
u = −0.301626 − 0.215018I
a = 1.187790 − 0.289335I
b = −0.618065 − 0.863757I
−0.78665 + 3.87297I −3.92014 + 1.05250I
u = 0.04458 + 1.64060I
a = −0.121030 − 0.260865I
b = −0.227644 − 1.058130I
8.73285 + 1.07898I 0
u = 0.04458 − 1.64060I
a = −0.121030 + 0.260865I
b = −0.227644 + 1.058130I
8.73285 − 1.07898I 0
17
II. I
u
2
=
h2u
26
+27u
24
+· · ·+b+2, −u
26
−13u
24
+· · ·+a−3u, u
28
+15u
26
+· · ·+2u+1i
(i) Arc colorings
a
6
=
0
u
a
10
=
1
0
a
11
=
1
u
2
a
5
=
u
u
3
+ u
a
12
=
u
2
+ 1
u
4
+ 2u
2
a
2
=
u
26
+ 13u
24
+ ··· − 6u
2
+ 3u
−2u
26
− 27u
24
+ ··· − 2u − 2
a
4
=
u
3
+ 2u
u
3
+ u
a
1
=
u
26
+ 13u
24
+ ··· + 2u − 1
u
27
− 3u
26
+ ··· − 3u − 3
a
7
=
u
27
+ 12u
25
+ ··· + 6u
2
− u
−2u
27
− 2u
26
+ ··· − u
2
− 3u
a
3
=
−2u
27
+ u
26
+ ··· + 5u − 1
−u
27
− 13u
25
+ ··· + u
2
+ u
a
9
=
3u
26
+ u
25
+ ··· + u + 4
u
27
− u
26
+ ··· − 2u − 1
a
8
=
u
26
+ u
25
+ ··· − u + 3
u
27
− 2u
26
+ ··· − 2u − 1
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −3u
27
+ 7u
26
− 45u
25
+ 92u
24
− 296u
23
+ 524u
22
− 1112u
21
+ 1672u
20
− 2578u
19
+
3181u
18
− 3623u
17
+ 3391u
16
− 2511u
15
+ 1187u
14
+ 469u
13
− 1521u
12
+ 2285u
11
−
1895u
10
+ 1340u
9
− 421u
8
− 178u
7
+ 418u
6
− 377u
5
+ 213u
4
− 55u
3
+ 2u
2
+ 11u − 5
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
28
− 10u
27
+ ··· − 10u + 1
c
2
u
28
+ 14u
26
+ ··· + 2u + 1
c
3
u
28
− 2u
27
+ ··· + 3u + 2
c
4
u
28
+ 3u
26
+ ··· − 5u + 2
c
5
u
28
+ 15u
26
+ ··· − 2u + 1
c
6
u
28
+ 3u
26
+ ··· − u + 1
c
7
u
28
+ 2u
27
+ ··· − 3u + 2
c
8
u
28
+ 2u
27
+ ··· + 14u
2
+ 1
c
9
u
28
+ 14u
26
+ ··· − 2u + 1
c
10
, c
11
u
28
+ 15u
26
+ ··· + 2u + 1
c
12
u
28
− 2u
27
+ ··· + 14u
2
+ 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
28
− 4y
27
+ ··· − 30y + 1
c
2
, c
9
y
28
+ 28y
27
+ ··· + 22y + 1
c
3
, c
7
y
28
+ 18y
27
+ ··· + 71y + 4
c
4
y
28
+ 6y
27
+ ··· + 11y + 4
c
5
, c
10
, c
11
y
28
+ 30y
27
+ ··· − 6y + 1
c
6
y
28
+ 6y
27
+ ··· + 33y + 1
c
8
, c
12
y
28
+ 22y
27
+ ··· + 28y + 1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.778529 + 0.035587I
a = 0.24886 + 2.25482I
b = 0.565210 + 0.978014I
−3.93399 + 4.15866I −7.35805 − 8.15818I
u = −0.778529 − 0.035587I
a = 0.24886 − 2.25482I
b = 0.565210 − 0.978014I
−3.93399 − 4.15866I −7.35805 + 8.15818I
u = 0.210222 + 1.217180I
a = −1.27922 − 0.71011I
b = −0.17565 − 1.94303I
−4.07314 − 1.83292I −9.09138 − 2.53724I
u = 0.210222 − 1.217180I
a = −1.27922 + 0.71011I
b = −0.17565 + 1.94303I
−4.07314 + 1.83292I −9.09138 + 2.53724I
u = 0.065094 + 1.253290I
a = −1.395570 + 0.043536I
b = 0.409308 + 0.734541I
3.68789 + 0.14613I −1.61633 − 0.02582I
u = 0.065094 − 1.253290I
a = −1.395570 − 0.043536I
b = 0.409308 − 0.734541I
3.68789 − 0.14613I −1.61633 + 0.02582I
u = −0.353305 + 1.212230I
a = −0.667718 + 0.778217I
b = −0.419531 + 1.065560I
−0.297546 − 0.059559I −2.10687 + 3.72240I
u = −0.353305 − 1.212230I
a = −0.667718 − 0.778217I
b = −0.419531 − 1.065560I
−0.297546 + 0.059559I −2.10687 − 3.72240I
u = −0.109867 + 1.303130I
a = −1.10193 + 1.28690I
b = 0.594337 − 0.532966I
2.87373 − 3.10091I −0.94178 + 5.01865I
u = −0.109867 − 1.303130I
a = −1.10193 − 1.28690I
b = 0.594337 + 0.532966I
2.87373 + 3.10091I −0.94178 − 5.01865I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.657676 + 0.189806I
a = −0.67657 − 2.83630I
b = 0.20458 − 1.72486I
−7.15292 − 1.18210I −5.20751 + 5.59068I
u = 0.657676 − 0.189806I
a = −0.67657 + 2.83630I
b = 0.20458 + 1.72486I
−7.15292 + 1.18210I −5.20751 − 5.59068I
u = −0.319927 + 1.295010I
a = 1.24413 − 1.54804I
b = −0.695097 − 0.907732I
0.21135 + 8.10164I −3.85286 − 11.65103I
u = −0.319927 − 1.295010I
a = 1.24413 + 1.54804I
b = −0.695097 + 0.907732I
0.21135 − 8.10164I −3.85286 + 11.65103I
u = 0.526728 + 0.314114I
a = 0.884783 − 0.478756I
b = −0.125715 + 0.662158I
1.02371 − 1.55335I 0.35772 + 2.80393I
u = 0.526728 − 0.314114I
a = 0.884783 + 0.478756I
b = −0.125715 − 0.662158I
1.02371 + 1.55335I 0.35772 − 2.80393I
u = −0.14266 + 1.40943I
a = 0.352307 − 0.274875I
b = 0.345115 + 0.582524I
4.11996 + 6.45098I −2.73474 − 6.56598I
u = −0.14266 − 1.40943I
a = 0.352307 + 0.274875I
b = 0.345115 − 0.582524I
4.11996 − 6.45098I −2.73474 + 6.56598I
u = 0.30687 + 1.39497I
a = 1.16214 + 0.86430I
b = −0.32218 + 1.54762I
−2.05813 − 4.77126I −1.97602 + 1.45671I
u = 0.30687 − 1.39497I
a = 1.16214 − 0.86430I
b = −0.32218 − 1.54762I
−2.05813 + 4.77126I −1.97602 − 1.45671I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.21634 + 1.41482I
a = −0.752783 + 0.841034I
b = 0.115990 − 0.537300I
6.54274 − 4.35709I 6.41774 + 0.I
u = 0.21634 − 1.41482I
a = −0.752783 − 0.841034I
b = 0.115990 + 0.537300I
6.54274 + 4.35709I 6.41774 + 0.I
u = 0.073163 + 0.534719I
a = −0.994839 + 0.505562I
b = −0.253177 + 0.928446I
1.08075 − 0.95344I 0.23996 + 1.39897I
u = 0.073163 − 0.534719I
a = −0.994839 − 0.505562I
b = −0.253177 − 0.928446I
1.08075 + 0.95344I 0.23996 − 1.39897I
u = −0.01763 + 1.61732I
a = 0.136878 − 0.273073I
b = 0.227311 − 0.991157I
8.85013 − 0.89694I 6.7097 − 12.9175I
u = −0.01763 − 1.61732I
a = 0.136878 + 0.273073I
b = 0.227311 + 0.991157I
8.85013 + 0.89694I 6.7097 + 12.9175I
u = −0.334174 + 0.117113I
a = −2.16046 + 1.55868I
b = −0.470510 − 0.604460I
−1.00494 + 4.65636I −6.83956 − 7.09161I
u = −0.334174 − 0.117113I
a = −2.16046 − 1.55868I
b = −0.470510 + 0.604460I
−1.00494 − 4.65636I −6.83956 + 7.09161I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
28
− 10u
27
+ ··· − 10u + 1)
· (u
125
− 5u
124
+ ··· + 66970759u − 9604921)
c
2
(u
28
+ 14u
26
+ ··· + 2u + 1)(u
125
+ u
124
+ ··· + 58283u + 322681)
c
3
(u
28
− 2u
27
+ ··· + 3u + 2)(u
125
− 3u
124
+ ··· − 3384u + 306)
c
4
(u
28
+ 3u
26
+ ··· − 5u + 2)(u
125
+ u
124
+ ··· + 5145656u + 1855180)
c
5
(u
28
+ 15u
26
+ ··· − 2u + 1)(u
125
− u
124
+ ··· + 19u + 23)
c
6
(u
28
+ 3u
26
+ ··· − u + 1)(u
125
− u
124
+ ··· + 11584u + 704)
c
7
(u
28
+ 2u
27
+ ··· − 3u + 2)(u
125
− 3u
124
+ ··· − 3384u + 306)
c
8
(u
28
+ 2u
27
+ ··· + 14u
2
+ 1)(u
125
+ 3u
124
+ ··· + 3u + 1)
c
9
(u
28
+ 14u
26
+ ··· − 2u + 1)(u
125
+ u
124
+ ··· + 58283u + 322681)
c
10
, c
11
(u
28
+ 15u
26
+ ··· + 2u + 1)(u
125
− u
124
+ ··· + 19u + 23)
c
12
(u
28
− 2u
27
+ ··· + 14u
2
+ 1)(u
125
+ 3u
124
+ ··· + 3u + 1)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
28
− 4y
27
+ ··· − 30y + 1)
· (y
125
− 41y
124
+ ··· + 3683462059155047y −92254507416241)
c
2
, c
9
(y
28
+ 28y
27
+ ··· + 22y + 1)
· (y
125
+ 95y
124
+ ··· − 1169830550105y −104123027761)
c
3
, c
7
(y
28
+ 18y
27
+ ··· + 71y + 4)
· (y
125
+ 81y
124
+ ··· − 2036412y −93636)
c
4
(y
28
+ 6y
27
+ ··· + 11y + 4)
· (y
125
− 27y
124
+ ··· − 685380301864y −3441692832400)
c
5
, c
10
, c
11
(y
28
+ 30y
27
+ ··· − 6y + 1)(y
125
+ 113y
124
+ ··· + 6847y −529)
c
6
(y
28
+ 6y
27
+ ··· + 33y + 1)
· (y
125
− 7y
124
+ ··· + 22089728y −495616)
c
8
, c
12
(y
28
+ 22y
27
+ ··· + 28y + 1)(y
125
+ 69y
124
+ ··· − 111y −1)
25
