12n
0871
(K12n
0871
)
A knot diagram
1
Linearized knot diagam
4 9 6 11 2 1 10 2 12 5 7 9
Solving Sequence
2,5 6,11
4 1 7 3 10 8 9 12
c
5
c
4
c
1
c
6
c
3
c
10
c
7
c
8
c
12
c
2
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−6.49376 × 10
915
u
101
+ 1.36988 × 10
916
u
100
+ ··· + 1.53445 × 10
923
b + 2.64941 × 10
921
,
9.51197 × 10
922
u
101
− 1.85089 × 10
923
u
100
+ ··· + 6.71402 × 10
929
a − 2.46247 × 10
930
,
u
102
− 2u
101
+ ··· + 8420092u − 4375517i
I
u
2
= h−2.56336 × 10
105
u
42
− 7.11346 × 10
105
u
41
+ ··· + 2.75081 × 10
102
b + 1.14602 × 10
106
,
− 1.01986 × 10
106
u
42
− 2.86981 × 10
106
u
41
+ ··· + 2.75081 × 10
102
a + 5.56514 × 10
106
,
u
43
+ 3u
42
+ ··· − 28u − 1i
* 2 irreducible components of dim
C
= 0, with total 145 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−6.49 × 10
915
u
101
+ 1.37 × 10
916
u
100
+ · · · + 1.53 × 10
923
b + 2.65 ×
10
921
, 9.51 × 10
922
u
101
− 1.85 × 10
923
u
100
+ · · · + 6.71 × 10
929
a − 2.46 ×
10
930
, u
102
− 2u
101
+ · · · + 8420092u − 4375517i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
11
=
−1.41673 × 10
−7
u
101
+ 2.75676 × 10
−7
u
100
+ ··· − 0.735672u + 3.66764
4.23197 × 10
−8
u
101
− 8.92749 × 10
−8
u
100
+ ··· + 0.936625u − 0.0172662
a
4
=
−2.05443 × 10
−7
u
101
+ 4.26875 × 10
−7
u
100
+ ··· − 22.2758u − 0.835178
1.00487 × 10
−8
u
101
− 2.32210 × 10
−8
u
100
+ ··· + 3.61648u + 0.302504
a
1
=
1.76309 × 10
−7
u
101
− 3.91156 × 10
−7
u
100
+ ··· + 12.8200u + 0.790115
7.30728 × 10
−9
u
101
− 1.35715 × 10
−8
u
100
+ ··· + 0.427561u − 0.351917
a
7
=
1.25051 × 10
−7
u
101
− 2.82188 × 10
−7
u
100
+ ··· + 22.0518u − 1.94211
−5.85977 × 10
−9
u
101
+ 1.76200 × 10
−8
u
100
+ ··· − 0.0550341u + 0.402167
a
3
=
−1.93843 × 10
−7
u
101
+ 4.01235 × 10
−7
u
100
+ ··· − 17.6257u − 0.602635
8.79886 × 10
−9
u
101
− 2.00013 × 10
−8
u
100
+ ··· + 3.68779u + 0.291821
a
10
=
−9.93535 × 10
−8
u
101
+ 1.86401 × 10
−7
u
100
+ ··· + 0.200954u + 3.65038
4.23197 × 10
−8
u
101
− 8.92749 × 10
−8
u
100
+ ··· + 0.936625u − 0.0172662
a
8
=
1.14273 × 10
−9
u
101
− 3.30148 × 10
−8
u
100
+ ··· + 5.30898u − 5.51886
1.90361 × 10
−10
u
101
− 2.90964 × 10
−9
u
100
+ ··· + 3.74212u + 0.640727
a
9
=
1.14273 × 10
−9
u
101
− 3.30148 × 10
−8
u
100
+ ··· + 5.30898u − 5.51886
3.20935 × 10
−9
u
101
− 8.91944 × 10
−9
u
100
+ ··· + 4.00586u + 0.506270
a
12
=
7.49943 × 10
−8
u
101
− 1.62627 × 10
−7
u
100
+ ··· + 31.5583u + 2.87114
1.58743 × 10
−8
u
101
− 2.92506 × 10
−8
u
100
+ ··· − 3.56647u + 0.364248
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −7.07644 × 10
−8
u
101
+ 9.56061 × 10
−8
u
100
+ ··· + 4.68523u − 4.86639
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
102
− 6u
101
+ ··· − 13u + 1
c
2
, c
8
u
102
+ 3u
101
+ ··· − 2892097u − 211369
c
3
u
102
− 12u
101
+ ··· + 44683235u − 49868279
c
4
, c
10
u
102
− 2u
101
+ ··· − 35912u − 22021
c
5
u
102
− 2u
101
+ ··· + 8420092u − 4375517
c
6
u
102
+ 4u
101
+ ··· − 10237986u − 1560347
c
7
u
102
+ 6u
101
+ ··· + 1478240064u + 120775104
c
9
, c
12
u
102
− 3u
101
+ ··· + 17272u + 2887
c
11
u
102
− 3u
101
+ ··· + 4237u + 211
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
102
− 26y
101
+ ··· + 3y + 1
c
2
, c
8
y
102
+ 93y
101
+ ··· + 186729819967y + 44676854161
c
3
y
102
+ 34y
101
+ ··· + 32423793145983377y + 2486845250421841
c
4
, c
10
y
102
+ 72y
101
+ ··· + 13249120960y + 484924441
c
5
y
102
+ 34y
101
+ ··· − 851807783365426y + 19145149017289
c
6
y
102
− 42y
101
+ ··· − 69780057418512y + 2434682760409
c
7
y
102
− 56y
101
+ ··· − 839500422669637632y + 14586625746210816
c
9
, c
12
y
102
+ 83y
101
+ ··· − 227405716y + 8334769
c
11
y
102
+ 13y
101
+ ··· − 9748489y + 44521
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.578447 + 0.812318I
a = 0.270355 + 0.352500I
b = 0.654512 + 0.190971I
2.61090 − 2.24156I 0
u = 0.578447 − 0.812318I
a = 0.270355 − 0.352500I
b = 0.654512 − 0.190971I
2.61090 + 2.24156I 0
u = −0.640649 + 0.738622I
a = −1.40013 − 0.36420I
b = 0.178260 + 1.219860I
−1.36519 − 4.12170I 0
u = −0.640649 − 0.738622I
a = −1.40013 + 0.36420I
b = 0.178260 − 1.219860I
−1.36519 + 4.12170I 0
u = 0.785103 + 0.573070I
a = 1.26596 − 2.01109I
b = 0.477218 + 1.053040I
−1.44120 − 6.31655I 0
u = 0.785103 − 0.573070I
a = 1.26596 + 2.01109I
b = 0.477218 − 1.053040I
−1.44120 + 6.31655I 0
u = 0.388226 + 0.961377I
a = −0.492122 − 0.348872I
b = −1.052880 − 0.601333I
5.87214 − 3.57059I 0
u = 0.388226 − 0.961377I
a = −0.492122 + 0.348872I
b = −1.052880 + 0.601333I
5.87214 + 3.57059I 0
u = −0.893646 + 0.337908I
a = −0.204247 + 0.597815I
b = 0.607279 + 0.413909I
−3.27710 + 2.11779I −16.4652 + 0.I
u = −0.893646 − 0.337908I
a = −0.204247 − 0.597815I
b = 0.607279 − 0.413909I
−3.27710 − 2.11779I −16.4652 + 0.I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.830323 + 0.440927I
a = 0.159520 + 0.434049I
b = 0.197571 + 0.786043I
2.90646 − 1.74561I 0
u = 0.830323 − 0.440927I
a = 0.159520 − 0.434049I
b = 0.197571 − 0.786043I
2.90646 + 1.74561I 0
u = 0.536482 + 0.767816I
a = 0.198515 − 1.013870I
b = −0.575438 + 0.925227I
−0.66291 + 3.42491I −6.00000 + 0.I
u = 0.536482 − 0.767816I
a = 0.198515 + 1.013870I
b = −0.575438 − 0.925227I
−0.66291 − 3.42491I −6.00000 + 0.I
u = −0.927521 + 0.012182I
a = −0.116711 − 0.927791I
b = −0.29093 + 1.44713I
−1.66180 + 0.53067I −14.1328 + 9.6811I
u = −0.927521 − 0.012182I
a = −0.116711 + 0.927791I
b = −0.29093 − 1.44713I
−1.66180 − 0.53067I −14.1328 − 9.6811I
u = 0.462524 + 0.975614I
a = −0.095337 + 1.036880I
b = 0.607615 − 1.043800I
1.67405 + 8.43926I 0
u = 0.462524 − 0.975614I
a = −0.095337 − 1.036880I
b = 0.607615 + 1.043800I
1.67405 − 8.43926I 0
u = −0.891060 + 0.018793I
a = −0.394094 + 0.410206I
b = −0.975211 + 0.681945I
0.997093 + 0.093900I −3.60215 + 1.98192I
u = −0.891060 − 0.018793I
a = −0.394094 − 0.410206I
b = −0.975211 − 0.681945I
0.997093 − 0.093900I −3.60215 − 1.98192I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.640255 + 0.960663I
a = −0.35799 + 1.48956I
b = −0.185489 − 1.251300I
3.04751 − 2.50600I 0
u = 0.640255 − 0.960663I
a = −0.35799 − 1.48956I
b = −0.185489 + 1.251300I
3.04751 + 2.50600I 0
u = 1.083950 + 0.498268I
a = 0.467119 − 0.389987I
b = 0.171905 − 0.609109I
4.20152 − 5.01214I 0
u = 1.083950 − 0.498268I
a = 0.467119 + 0.389987I
b = 0.171905 + 0.609109I
4.20152 + 5.01214I 0
u = 1.22973
a = 1.85972
b = 1.57058
−7.95878 0
u = 0.758319 + 0.976081I
a = 0.443026 − 0.834537I
b = 0.61949 + 1.38371I
4.95097 − 3.85407I 0
u = 0.758319 − 0.976081I
a = 0.443026 + 0.834537I
b = 0.61949 − 1.38371I
4.95097 + 3.85407I 0
u = 0.931306 + 0.828752I
a = 0.70992 − 1.24219I
b = 0.306421 + 1.241220I
5.33219 − 6.63790I 0
u = 0.931306 − 0.828752I
a = 0.70992 + 1.24219I
b = 0.306421 − 1.241220I
5.33219 + 6.63790I 0
u = 0.021438 + 1.263280I
a = 0.77335 − 1.52919I
b = −0.037608 + 1.187630I
4.98554 + 1.41809I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.021438 − 1.263280I
a = 0.77335 + 1.52919I
b = −0.037608 − 1.187630I
4.98554 − 1.41809I 0
u = −0.604900 + 0.398404I
a = 1.50133 + 0.47327I
b = −0.314470 + 0.216566I
1.35379 + 5.01097I −4.29413 − 5.82522I
u = −0.604900 − 0.398404I
a = 1.50133 − 0.47327I
b = −0.314470 − 0.216566I
1.35379 − 5.01097I −4.29413 + 5.82522I
u = −1.081470 + 0.701710I
a = −0.727456 − 0.787717I
b = 0.215463 + 0.924006I
−0.61960 − 3.63133I 0
u = −1.081470 − 0.701710I
a = −0.727456 + 0.787717I
b = 0.215463 − 0.924006I
−0.61960 + 3.63133I 0
u = −1.119540 + 0.708835I
a = −0.124837 − 0.074168I
b = −0.744192 − 0.630943I
1.11900 + 1.01088I 0
u = −1.119540 − 0.708835I
a = −0.124837 + 0.074168I
b = −0.744192 + 0.630943I
1.11900 − 1.01088I 0
u = −0.621598 + 1.198780I
a = 0.16801 + 1.81726I
b = 0.207158 − 1.166130I
6.23243 + 6.77828I 0
u = −0.621598 − 1.198780I
a = 0.16801 − 1.81726I
b = 0.207158 + 1.166130I
6.23243 − 6.77828I 0
u = 0.622914 + 1.201910I
a = −0.820504 + 0.851583I
b = −0.38872 − 1.58447I
8.17405 − 2.71521I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.622914 − 1.201910I
a = −0.820504 − 0.851583I
b = −0.38872 + 1.58447I
8.17405 + 2.71521I 0
u = −0.117787 + 0.635374I
a = −0.234595 − 1.221780I
b = −0.556422 + 0.759811I
−1.28229 + 1.29324I −7.96430 − 5.38509I
u = −0.117787 − 0.635374I
a = −0.234595 + 1.221780I
b = −0.556422 − 0.759811I
−1.28229 − 1.29324I −7.96430 + 5.38509I
u = −0.637979 + 0.054784I
a = 0.94673 − 2.63004I
b = 0.196852 − 0.700152I
−3.63718 − 2.68680I −19.7191 + 1.0309I
u = −0.637979 − 0.054784I
a = 0.94673 + 2.63004I
b = 0.196852 + 0.700152I
−3.63718 + 2.68680I −19.7191 − 1.0309I
u = −0.630129
a = −0.281979
b = −0.482624
−0.874381 −11.7060
u = 0.381446 + 1.333600I
a = 0.577005 − 0.792791I
b = 0.48223 + 1.69159I
13.5875 + 4.2210I 0
u = 0.381446 − 1.333600I
a = 0.577005 + 0.792791I
b = 0.48223 − 1.69159I
13.5875 − 4.2210I 0
u = 1.280040 + 0.559635I
a = −1.26835 + 1.09747I
b = −0.676662 − 0.970337I
2.02370 − 6.46913I 0
u = 1.280040 − 0.559635I
a = −1.26835 − 1.09747I
b = −0.676662 + 0.970337I
2.02370 + 6.46913I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.114976 + 1.398030I
a = −0.070057 − 0.419974I
b = −1.45170 + 0.09247I
1.96391 − 4.09956I 0
u = 0.114976 − 1.398030I
a = −0.070057 + 0.419974I
b = −1.45170 − 0.09247I
1.96391 + 4.09956I 0
u = 0.85618 + 1.13679I
a = 0.994333 − 0.607763I
b = 0.45510 + 1.40983I
12.8090 − 9.7238I 0
u = 0.85618 − 1.13679I
a = 0.994333 + 0.607763I
b = 0.45510 − 1.40983I
12.8090 + 9.7238I 0
u = 0.434355 + 0.370831I
a = −0.81976 − 1.90229I
b = 0.143362 + 0.620182I
−0.86396 + 1.69582I −4.56303 − 2.55235I
u = 0.434355 − 0.370831I
a = −0.81976 + 1.90229I
b = 0.143362 − 0.620182I
−0.86396 − 1.69582I −4.56303 + 2.55235I
u = 1.28469 + 0.69073I
a = −0.315215 + 0.773825I
b = −0.55875 − 1.68138I
9.05761 − 6.51883I 0
u = 1.28469 − 0.69073I
a = −0.315215 − 0.773825I
b = −0.55875 + 1.68138I
9.05761 + 6.51883I 0
u = 0.33639 + 1.43648I
a = −0.213568 − 1.280870I
b = −0.040602 + 1.409330I
8.11805 + 0.97622I 0
u = 0.33639 − 1.43648I
a = −0.213568 + 1.280870I
b = −0.040602 − 1.409330I
8.11805 − 0.97622I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.467785 + 0.056572I
a = 0.552988 + 0.784397I
b = 1.031520 − 0.176518I
0.46845 + 3.00397I −6.44837 − 8.33144I
u = −0.467785 − 0.056572I
a = 0.552988 − 0.784397I
b = 1.031520 + 0.176518I
0.46845 − 3.00397I −6.44837 + 8.33144I
u = 0.62649 + 1.43614I
a = 0.131084 + 0.242971I
b = 1.340060 − 0.085585I
7.81773 − 11.25560I 0
u = 0.62649 − 1.43614I
a = 0.131084 − 0.242971I
b = 1.340060 + 0.085585I
7.81773 + 11.25560I 0
u = 0.206203 + 0.378033I
a = −1.04319 + 1.92882I
b = 0.444813 − 0.992717I
3.48779 + 1.18350I 0.466384 − 0.755659I
u = 0.206203 − 0.378033I
a = −1.04319 − 1.92882I
b = 0.444813 + 0.992717I
3.48779 − 1.18350I 0.466384 + 0.755659I
u = −1.56760 + 0.22766I
a = 0.047477 + 0.185643I
b = −0.042340 − 1.045710I
−0.10095 + 2.17396I 0
u = −1.56760 − 0.22766I
a = 0.047477 − 0.185643I
b = −0.042340 + 1.045710I
−0.10095 − 2.17396I 0
u = −0.017667 + 0.390853I
a = 0.323909 + 1.038640I
b = 0.939261 − 0.458593I
−0.03263 − 2.94373I 3.57558 + 3.19837I
u = −0.017667 − 0.390853I
a = 0.323909 − 1.038640I
b = 0.939261 + 0.458593I
−0.03263 + 2.94373I 3.57558 − 3.19837I
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.60708 + 1.52672I
a = −0.507253 − 0.219819I
b = −0.765030 + 0.142961I
7.72482 − 1.06832I 0
u = 0.60708 − 1.52672I
a = −0.507253 + 0.219819I
b = −0.765030 − 0.142961I
7.72482 + 1.06832I 0
u = −0.02581 + 1.67606I
a = 0.317248 + 0.644991I
b = 1.065830 − 0.281927I
7.60998 + 4.47661I 0
u = −0.02581 − 1.67606I
a = 0.317248 − 0.644991I
b = 1.065830 + 0.281927I
7.60998 − 4.47661I 0
u = −0.198769 + 0.106085I
a = 5.94644 + 2.42648I
b = −0.442931 − 0.691015I
1.29275 − 5.13529I −4.85647 + 5.39780I
u = −0.198769 − 0.106085I
a = 5.94644 − 2.42648I
b = −0.442931 + 0.691015I
1.29275 + 5.13529I −4.85647 − 5.39780I
u = 0.119450 + 0.086603I
a = 2.80930 + 5.11498I
b = 0.308645 − 0.973601I
−0.57388 − 1.45394I −5.08577 + 3.51030I
u = 0.119450 − 0.086603I
a = 2.80930 − 5.11498I
b = 0.308645 + 0.973601I
−0.57388 + 1.45394I −5.08577 − 3.51030I
u = −0.94704 + 1.61116I
a = 0.324213 + 1.195960I
b = 0.391276 − 1.259480I
6.80887 + 6.18363I 0
u = −0.94704 − 1.61116I
a = 0.324213 − 1.195960I
b = 0.391276 + 1.259480I
6.80887 − 6.18363I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.14001 + 1.89916I
a = 0.191102 + 1.151240I
b = −0.306706 − 1.357360I
6.26027 − 8.13426I 0
u = 0.14001 − 1.89916I
a = 0.191102 − 1.151240I
b = −0.306706 + 1.357360I
6.26027 + 8.13426I 0
u = 0.88769 + 1.73485I
a = −0.591684 + 0.787057I
b = −0.195447 − 1.283190I
12.14500 − 2.16932I 0
u = 0.88769 − 1.73485I
a = −0.591684 − 0.787057I
b = −0.195447 + 1.283190I
12.14500 + 2.16932I 0
u = −0.73926 + 1.87167I
a = −0.186300 − 1.081720I
b = −0.61651 + 1.47320I
6.57040 + 11.23110I 0
u = −0.73926 − 1.87167I
a = −0.186300 + 1.081720I
b = −0.61651 − 1.47320I
6.57040 − 11.23110I 0
u = 1.94506 + 0.57389I
a = 0.018583 − 0.755361I
b = −0.204489 + 0.773130I
−3.78120 + 1.28591I 0
u = 1.94506 − 0.57389I
a = 0.018583 + 0.755361I
b = −0.204489 − 0.773130I
−3.78120 − 1.28591I 0
u = −1.16309 + 1.83888I
a = −0.168805 − 1.016590I
b = −0.37611 + 1.48026I
12.3609 + 8.4412I 0
u = −1.16309 − 1.83888I
a = −0.168805 + 1.016590I
b = −0.37611 − 1.48026I
12.3609 − 8.4412I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.22621 + 1.83672I
a = 0.340072 + 1.032140I
b = 0.64018 − 1.42705I
12.0876 + 18.1403I 0
u = −1.22621 − 1.83672I
a = 0.340072 − 1.032140I
b = 0.64018 + 1.42705I
12.0876 − 18.1403I 0
u = −0.09203 + 2.24603I
a = 0.030866 + 0.903213I
b = 0.75635 − 1.46658I
10.80000 + 2.52658I 0
u = −0.09203 − 2.24603I
a = 0.030866 − 0.903213I
b = 0.75635 + 1.46658I
10.80000 − 2.52658I 0
u = 0.26203 + 2.26872I
a = −0.481013 + 0.837915I
b = −0.549181 − 1.043110I
10.87960 − 2.17273I 0
u = 0.26203 − 2.26872I
a = −0.481013 − 0.837915I
b = −0.549181 + 1.043110I
10.87960 + 2.17273I 0
u = 2.24269 + 1.11459I
a = 0.06831 + 1.51402I
b = −0.026281 − 0.656218I
5.73946 + 4.09658I 0
u = 2.24269 − 1.11459I
a = 0.06831 − 1.51402I
b = −0.026281 + 0.656218I
5.73946 − 4.09658I 0
u = −1.40790 + 2.19475I
a = −0.447499 − 0.965940I
b = −0.472802 + 1.188240I
10.84730 + 5.64112I 0
u = −1.40790 − 2.19475I
a = −0.447499 + 0.965940I
b = −0.472802 − 1.188240I
10.84730 − 5.64112I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −3.27458 + 0.21401I
a = −0.037805 + 0.627899I
b = −0.135440 − 1.188390I
7.88225 − 5.01987I 0
u = −3.27458 − 0.21401I
a = −0.037805 − 0.627899I
b = −0.135440 + 1.188390I
7.88225 + 5.01987I 0
15
II. I
u
2
= h−2.56 × 10
105
u
42
− 7.11 × 10
105
u
41
+ · · · + 2.75 × 10
102
b + 1.15 ×
10
106
, −1.02 × 10
106
u
42
− 2.87 × 10
106
u
41
+ · · · + 2.75 × 10
102
a + 5.57 ×
10
106
, u
43
+ 3u
42
+ · · · − 28u − 1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
11
=
3707.49u
42
+ 10432.6u
41
+ ··· − 454966.u − 20230.9
931.857u
42
+ 2585.95u
41
+ ··· − 97746.0u − 4166.13
a
4
=
59.1829u
42
+ 145.069u
41
+ ··· + 5329.50u + 455.518
702.224u
42
+ 1949.37u
41
+ ··· − 72606.5u − 3054.31
a
1
=
1296.36u
42
+ 3722.50u
41
+ ··· − 196370.u − 9266.12
−242.457u
42
− 668.784u
41
+ ··· + 22997.2u + 930.911
a
7
=
2530.36u
42
+ 7212.55u
41
+ ··· − 352926.u − 16218.1
261.611u
42
+ 733.273u
41
+ ··· − 30874.6u − 1366.31
a
3
=
752.283u
42
+ 2069.21u
41
+ ··· − 66426.7u − 2566.31
736.124u
42
+ 2043.82u
41
+ ··· − 76257.7u − 3209.46
a
10
=
4639.35u
42
+ 13018.5u
41
+ ··· − 552712.u − 24397.0
931.857u
42
+ 2585.95u
41
+ ··· − 97746.0u − 4166.13
a
8
=
730.819u
42
+ 2020.00u
41
+ ··· − 70941.1u − 2893.51
1032.12u
42
+ 2844.81u
41
+ ··· − 100064.u − 4162.72
a
9
=
730.819u
42
+ 2020.00u
41
+ ··· − 70941.1u − 2893.51
1071.12u
42
+ 2953.23u
41
+ ··· − 104162.u − 4335.18
a
12
=
1591.04u
42
+ 4370.98u
41
+ ··· − 155239.u − 6636.61
835.606u
42
+ 2305.04u
41
+ ··· − 80814.4u − 3357.21
(ii) Obstruction class = 1
(iii) Cusp Shapes = 5893.66u
42
+ 16293.1u
41
+ ··· − 577290.u − 23846.5
16
(iv) u-Polynomials at the component
17
Crossings u-Polynomials at each crossing
c
1
u
43
− 15u
42
+ ··· + 11u − 1
c
2
u
43
− 2u
42
+ ··· + u − 1
c
3
u
43
+ 3u
42
+ ··· − 3u + 1
c
4
u
43
+ u
42
+ ··· + 4u − 1
c
5
u
43
+ 3u
42
+ ··· − 28u − 1
c
6
u
43
− u
42
+ ··· + 110u − 11
c
7
u
43
+ 13u
42
+ ··· − 268u − 152
c
8
u
43
+ 2u
42
+ ··· + u + 1
c
9
u
43
− 4u
42
+ ··· + 2u − 5
c
10
u
43
− u
42
+ ··· + 4u + 1
c
11
u
43
+ 13u
41
+ ··· + u + 1
c
12
u
43
+ 4u
42
+ ··· + 2u + 5
18
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
43
− 25y
42
+ ··· + 11y −1
c
2
, c
8
y
43
+ 10y
42
+ ··· + 7y −1
c
3
y
43
− 13y
42
+ ··· + 29y −1
c
4
, c
10
y
43
+ 25y
42
+ ··· − 26y −1
c
5
y
43
− 25y
42
+ ··· + 128y −1
c
6
y
43
− 9y
42
+ ··· − 110y −121
c
7
y
43
− 7y
42
+ ··· + 719952y −23104
c
9
, c
12
y
43
+ 28y
42
+ ··· − 486y −25
c
11
y
43
+ 26y
42
+ ··· + 51y −1
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.952403 + 0.212650I
a = 0.162567 − 0.952315I
b = 0.03324 + 1.42461I
−1.64596 − 0.83812I 0
u = −0.952403 − 0.212650I
a = 0.162567 + 0.952315I
b = 0.03324 − 1.42461I
−1.64596 + 0.83812I 0
u = 0.965425 + 0.356886I
a = −0.937624 + 0.457624I
b = −0.006561 + 0.619968I
4.22886 − 5.41734I 0
u = 0.965425 − 0.356886I
a = −0.937624 − 0.457624I
b = −0.006561 − 0.619968I
4.22886 + 5.41734I 0
u = −1.018330 + 0.152999I
a = 0.198757 + 0.759729I
b = 0.507978 + 0.511243I
−2.50615 + 2.11294I 0
u = −1.018330 − 0.152999I
a = 0.198757 − 0.759729I
b = 0.507978 − 0.511243I
−2.50615 − 2.11294I 0
u = 0.911600 + 0.492578I
a = 1.37553 − 1.72298I
b = 0.505583 + 1.058080I
−0.81706 − 6.31715I 0
u = 0.911600 − 0.492578I
a = 1.37553 + 1.72298I
b = 0.505583 − 1.058080I
−0.81706 + 6.31715I 0
u = −0.733272 + 0.745428I
a = −0.582277 − 1.119630I
b = 0.408985 + 0.860139I
−1.48315 − 3.89969I 0
u = −0.733272 − 0.745428I
a = −0.582277 + 1.119630I
b = 0.408985 − 0.860139I
−1.48315 + 3.89969I 0
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.046520 + 0.040392I
a = −0.036704 − 1.056260I
b = 0.202171 + 0.202968I
−1.89530 − 2.23499I 0
u = −1.046520 − 0.040392I
a = −0.036704 + 1.056260I
b = 0.202171 − 0.202968I
−1.89530 + 2.23499I 0
u = −0.735950 + 0.567166I
a = −1.316120 − 0.290199I
b = 0.274488 + 1.085180I
−1.98811 − 4.21451I 0
u = −0.735950 − 0.567166I
a = −1.316120 + 0.290199I
b = 0.274488 − 1.085180I
−1.98811 + 4.21451I 0
u = −0.507572 + 0.952195I
a = 0.281181 + 0.953252I
b = −0.560388 − 1.063890I
1.26781 − 8.27086I 0
u = −0.507572 − 0.952195I
a = 0.281181 − 0.953252I
b = −0.560388 + 1.063890I
1.26781 + 8.27086I 0
u = 0.125952 + 0.869748I
a = −0.102915 − 0.438320I
b = −1.165420 − 0.271081I
1.76412 − 3.06782I 0
u = 0.125952 − 0.869748I
a = −0.102915 + 0.438320I
b = −1.165420 + 0.271081I
1.76412 + 3.06782I 0
u = 0.991450 + 0.570116I
a = −1.46859 + 1.56054I
b = −0.552387 − 0.899414I
1.24968 − 6.77664I 0
u = 0.991450 − 0.570116I
a = −1.46859 − 1.56054I
b = −0.552387 + 0.899414I
1.24968 + 6.77664I 0
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.23708
a = 1.84183
b = 1.58285
−7.94416 0
u = 0.606338 + 0.420080I
a = −0.051289 − 1.095620I
b = −0.313256 − 0.727655I
2.52284 − 2.02235I −12.31783 + 6.22843I
u = 0.606338 − 0.420080I
a = −0.051289 + 1.095620I
b = −0.313256 + 0.727655I
2.52284 + 2.02235I −12.31783 − 6.22843I
u = 0.830825 + 0.953806I
a = −0.560415 + 0.943472I
b = −0.51078 − 1.39813I
5.50052 − 3.51324I 0
u = 0.830825 − 0.953806I
a = −0.560415 − 0.943472I
b = −0.51078 + 1.39813I
5.50052 + 3.51324I 0
u = −1.281600 + 0.465204I
a = −0.128805 − 0.121328I
b = −0.561535 − 1.052650I
1.70570 + 2.12472I 0
u = −1.281600 − 0.465204I
a = −0.128805 + 0.121328I
b = −0.561535 + 1.052650I
1.70570 − 2.12472I 0
u = −0.89179 + 1.30826I
a = −0.45289 − 1.37332I
b = −0.337379 + 1.239830I
7.27538 + 7.09896I 0
u = −0.89179 − 1.30826I
a = −0.45289 + 1.37332I
b = −0.337379 − 1.239830I
7.27538 − 7.09896I 0
u = −0.254980 + 0.061062I
a = 0.563380 + 0.985070I
b = 0.682002 + 1.075080I
−0.965175 − 0.413694I −3.44126 − 3.89109I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.254980 − 0.061062I
a = 0.563380 − 0.985070I
b = 0.682002 − 1.075080I
−0.965175 + 0.413694I −3.44126 + 3.89109I
u = −0.249131 + 0.026846I
a = 0.771247 − 0.668285I
b = −0.997616 − 0.548752I
−0.39026 + 2.98506I −18.6911 − 6.9299I
u = −0.249131 − 0.026846I
a = 0.771247 + 0.668285I
b = −0.997616 + 0.548752I
−0.39026 − 2.98506I −18.6911 + 6.9299I
u = −0.178025 + 0.011812I
a = 3.57509 − 10.92340I
b = 0.085395 − 0.839110I
−3.26472 − 2.79547I 0.62203 + 6.00588I
u = −0.178025 − 0.011812I
a = 3.57509 + 10.92340I
b = 0.085395 + 0.839110I
−3.26472 + 2.79547I 0.62203 − 6.00588I
u = 1.92161 + 1.02325I
a = 0.296475 − 0.726225I
b = 0.39084 + 1.36482I
9.30357 − 5.42295I 0
u = 1.92161 − 1.02325I
a = 0.296475 + 0.726225I
b = 0.39084 − 1.36482I
9.30357 + 5.42295I 0
u = 2.18724 + 0.36684I
a = 0.183996 − 0.709664I
b = 0.006947 + 0.845184I
−3.51494 + 0.72185I 0
u = 2.18724 − 0.36684I
a = 0.183996 + 0.709664I
b = 0.006947 − 0.845184I
−3.51494 − 0.72185I 0
u = −0.23008 + 2.41700I
a = 0.192132 + 0.932867I
b = 0.666582 − 1.152700I
9.92606 + 2.98593I 0
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.23008 − 2.41700I
a = 0.192132 − 0.932867I
b = 0.666582 + 1.152700I
9.92606 − 2.98593I 0
u = −2.57933 + 0.94459I
a = 0.116361 + 1.405020I
b = −0.050307 − 0.647959I
5.66223 − 4.31515I 0
u = −2.57933 − 0.94459I
a = 0.116361 − 1.405020I
b = −0.050307 + 0.647959I
5.66223 + 4.31515I 0
25
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
43
− 15u
42
+ ··· + 11u − 1)(u
102
− 6u
101
+ ··· − 13u + 1)
c
2
(u
43
− 2u
42
+ ··· + u − 1)(u
102
+ 3u
101
+ ··· − 2892097u − 211369)
c
3
(u
43
+ 3u
42
+ ··· − 3u + 1)
· (u
102
− 12u
101
+ ··· + 44683235u − 49868279)
c
4
(u
43
+ u
42
+ ··· + 4u − 1)(u
102
− 2u
101
+ ··· − 35912u − 22021)
c
5
(u
43
+ 3u
42
+ ··· − 28u − 1)
· (u
102
− 2u
101
+ ··· + 8420092u − 4375517)
c
6
(u
43
− u
42
+ ··· + 110u − 11)
· (u
102
+ 4u
101
+ ··· − 10237986u − 1560347)
c
7
(u
43
+ 13u
42
+ ··· − 268u − 152)
· (u
102
+ 6u
101
+ ··· + 1478240064u + 120775104)
c
8
(u
43
+ 2u
42
+ ··· + u + 1)(u
102
+ 3u
101
+ ··· − 2892097u − 211369)
c
9
(u
43
− 4u
42
+ ··· + 2u − 5)(u
102
− 3u
101
+ ··· + 17272u + 2887)
c
10
(u
43
− u
42
+ ··· + 4u + 1)(u
102
− 2u
101
+ ··· − 35912u − 22021)
c
11
(u
43
+ 13u
41
+ ··· + u + 1)(u
102
− 3u
101
+ ··· + 4237u + 211)
c
12
(u
43
+ 4u
42
+ ··· + 2u + 5)(u
102
− 3u
101
+ ··· + 17272u + 2887)
26
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
43
− 25y
42
+ ··· + 11y −1)(y
102
− 26y
101
+ ··· + 3y + 1)
c
2
, c
8
(y
43
+ 10y
42
+ ··· + 7y −1)
· (y
102
+ 93y
101
+ ··· + 186729819967y + 44676854161)
c
3
(y
43
− 13y
42
+ ··· + 29y −1)
· (y
102
+ 34y
101
+ ··· + 32423793145983377y + 2486845250421841)
c
4
, c
10
(y
43
+ 25y
42
+ ··· − 26y −1)
· (y
102
+ 72y
101
+ ··· + 13249120960y + 484924441)
c
5
(y
43
− 25y
42
+ ··· + 128y −1)
· (y
102
+ 34y
101
+ ··· − 851807783365426y + 19145149017289)
c
6
(y
43
− 9y
42
+ ··· − 110y −121)
· (y
102
− 42y
101
+ ··· − 69780057418512y + 2434682760409)
c
7
(y
43
− 7y
42
+ ··· + 719952y −23104)
· (y
102
− 56y
101
+ ··· − 839500422669637632y + 14586625746210816)
c
9
, c
12
(y
43
+ 28y
42
+ ··· − 486y −25)
· (y
102
+ 83y
101
+ ··· − 227405716y + 8334769)
c
11
(y
43
+ 26y
42
+ ··· + 51y −1)
· (y
102
+ 13y
101
+ ··· − 9748489y + 44521)
27
