12a
0394
(K12a
0394
)
A knot diagram
1
Linearized knot diagam
3 6 9 11 2 10 12 1 5 7 4 8
Solving Sequence
7,12
8 1
4,9
3 11 5 10 6 2
c
7
c
12
c
8
c
3
c
11
c
4
c
10
c
6
c
2
c
1
, c
5
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.00278 × 10
313
u
114
+ 8.20350 × 10
313
u
113
+ ··· + 2.57348 × 10
314
b + 1.42070 × 10
315
,
8.24259 × 10
314
u
114
− 1.69226 × 10
315
u
113
+ ··· + 2.57348 × 10
314
a − 9.87325 × 10
315
,
u
115
− 2u
114
+ ··· − 28u + 1i
I
u
2
= hu
24
− 14u
22
+ ··· + b + 2, u
24
+ u
23
+ ··· + a + u, u
25
+ u
24
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 140 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−2.00 × 10
313
u
114
+ 8.20 × 10
313
u
113
+ · · · + 2.57 × 10
314
b + 1.42 ×
10
315
, 8.24 × 10
314
u
114
− 1.69 × 10
315
u
113
+ · · · + 2.57 × 10
314
a − 9.87 ×
10
315
, u
115
− 2u
114
+ · · · − 28u + 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
8
=
1
−u
2
a
1
=
u
−u
3
+ u
a
4
=
−3.20290u
114
+ 6.57577u
113
+ ··· − 705.319u + 38.3654
0.0778241u
114
− 0.318771u
113
+ ··· + 56.3225u − 5.52054
a
9
=
−u
2
+ 1
u
4
− 2u
2
a
3
=
−3.38717u
114
+ 7.04311u
113
+ ··· − 764.082u + 43.7198
0.0236815u
114
− 0.267953u
113
+ ··· + 53.7249u − 5.44079
a
11
=
−3.85922u
114
+ 7.71029u
113
+ ··· − 891.654u + 57.0291
−0.559786u
114
+ 0.840056u
113
+ ··· − 68.2350u + 2.71601
a
5
=
−3.04090u
114
+ 4.84465u
113
+ ··· − 648.834u + 44.1418
0.0779924u
114
+ 0.105782u
113
+ ··· − 11.6253u − 0.201228
a
10
=
−3.29943u
114
+ 6.87024u
113
+ ··· − 823.419u + 54.3131
−0.559786u
114
+ 0.840056u
113
+ ··· − 68.2350u + 2.71601
a
6
=
2.09218u
114
− 4.51224u
113
+ ··· + 462.352u − 45.9770
1.33271u
114
− 2.35933u
113
+ ··· + 187.582u − 9.48403
a
2
=
−2.61490u
114
+ 4.63695u
113
+ ··· − 629.293u + 45.1624
−0.985977u
114
+ 1.87369u
113
+ ··· − 139.022u + 6.55447
(ii) Obstruction class = −1
(iii) Cusp Shapes = −3.86736u
114
+ 7.91239u
113
+ ··· − 545.310u + 42.5006
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
115
+ 42u
114
+ ··· + 430u + 1
c
2
, c
5
u
115
+ 6u
114
+ ··· + 34u + 1
c
3
u
115
− u
114
+ ··· + 382316u − 23801
c
4
, c
11
u
115
− 3u
114
+ ··· + 2u − 1
c
6
, c
10
u
115
+ 3u
114
+ ··· + 416u + 649
c
7
, c
8
, c
12
u
115
+ 2u
114
+ ··· − 28u − 1
c
9
u
115
+ u
114
+ ··· − 1504u − 71
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
115
+ 74y
114
+ ··· − 137646y −1
c
2
, c
5
y
115
− 42y
114
+ ··· + 430y −1
c
3
y
115
− 35y
114
+ ··· + 165406395062y −566487601
c
4
, c
11
y
115
+ 65y
114
+ ··· − 6y −1
c
6
, c
10
y
115
− 91y
114
+ ··· + 19697572y −421201
c
7
, c
8
, c
12
y
115
− 120y
114
+ ··· + 232y −1
c
9
y
115
− 23y
114
+ ··· + 3132476y −5041
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.018240 + 0.185716I
a = −0.157187 − 1.384820I
b = −0.224318 + 1.063560I
−4.54218 + 1.04428I 0
u = 1.018240 − 0.185716I
a = −0.157187 + 1.384820I
b = −0.224318 − 1.063560I
−4.54218 − 1.04428I 0
u = −0.605009 + 0.839926I
a = −1.257980 + 0.199905I
b = −1.54849 − 0.88534I
2.94287 − 7.58492I 0
u = −0.605009 − 0.839926I
a = −1.257980 − 0.199905I
b = −1.54849 + 0.88534I
2.94287 + 7.58492I 0
u = 0.110734 + 1.038700I
a = −0.804178 + 0.323589I
b = −1.62068 + 0.68689I
3.09318 + 2.07281I 0
u = 0.110734 − 1.038700I
a = −0.804178 − 0.323589I
b = −1.62068 − 0.68689I
3.09318 − 2.07281I 0
u = 0.275186 + 1.040870I
a = 0.794196 − 0.193683I
b = 1.62388 − 0.79412I
2.42939 − 3.12525I 0
u = 0.275186 − 1.040870I
a = 0.794196 + 0.193683I
b = 1.62388 + 0.79412I
2.42939 + 3.12525I 0
u = −0.585102 + 0.950055I
a = 1.170430 − 0.104503I
b = 1.67909 + 0.83613I
1.56496 − 13.32550I 0
u = −0.585102 − 0.950055I
a = 1.170430 + 0.104503I
b = 1.67909 − 0.83613I
1.56496 + 13.32550I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.875304 + 0.010082I
a = −0.482427 + 0.797072I
b = −0.208353 + 0.555462I
2.28782 + 2.70515I 0
u = −0.875304 − 0.010082I
a = −0.482427 − 0.797072I
b = −0.208353 − 0.555462I
2.28782 − 2.70515I 0
u = 0.678698 + 0.545869I
a = −0.636932 + 0.805126I
b = 0.612781 − 0.051539I
4.36100 + 8.04330I 0
u = 0.678698 − 0.545869I
a = −0.636932 − 0.805126I
b = 0.612781 + 0.051539I
4.36100 − 8.04330I 0
u = −0.305379 + 0.810200I
a = 1.47601 + 0.19019I
b = 1.43158 + 0.51265I
−3.63406 − 6.53388I 0
u = −0.305379 − 0.810200I
a = 1.47601 − 0.19019I
b = 1.43158 − 0.51265I
−3.63406 + 6.53388I 0
u = −0.929618 + 0.653649I
a = 0.204466 − 0.892515I
b = 0.963248 + 0.154542I
−1.85464 + 1.48845I 0
u = −0.929618 − 0.653649I
a = 0.204466 + 0.892515I
b = 0.963248 − 0.154542I
−1.85464 − 1.48845I 0
u = 0.652482 + 0.542736I
a = −0.745445 − 1.183410I
b = −0.868838 + 0.692560I
−2.35658 − 3.07713I 0
u = 0.652482 − 0.542736I
a = −0.745445 + 1.183410I
b = −0.868838 − 0.692560I
−2.35658 + 3.07713I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.488617 + 0.692095I
a = −1.313310 − 0.468315I
b = −1.60980 − 0.02547I
−2.80354 + 7.46099I 0
u = 0.488617 − 0.692095I
a = −1.313310 + 0.468315I
b = −1.60980 + 0.02547I
−2.80354 − 7.46099I 0
u = −0.636844 + 1.013560I
a = −0.439819 + 0.712756I
b = −1.46937 + 0.06518I
2.75509 + 1.57727I 0
u = −0.636844 − 1.013560I
a = −0.439819 − 0.712756I
b = −1.46937 − 0.06518I
2.75509 − 1.57727I 0
u = 0.697646 + 0.385481I
a = 0.897484 − 0.735922I
b = −0.577128 + 0.043803I
5.81339 + 2.21028I 0
u = 0.697646 − 0.385481I
a = 0.897484 + 0.735922I
b = −0.577128 − 0.043803I
5.81339 − 2.21028I 0
u = 0.516034 + 0.600339I
a = 1.27874 + 0.61859I
b = 1.49364 − 0.17840I
−1.59675 + 2.50323I 0
u = 0.516034 − 0.600339I
a = 1.27874 − 0.61859I
b = 1.49364 + 0.17840I
−1.59675 − 2.50323I 0
u = 1.271320 + 0.050169I
a = 0.411686 + 0.322353I
b = 1.73294 − 0.45796I
1.070530 + 0.175208I 0
u = 1.271320 − 0.050169I
a = 0.411686 − 0.322353I
b = 1.73294 + 0.45796I
1.070530 − 0.175208I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.498264 + 0.497941I
a = 1.016200 + 0.976841I
b = 1.017610 − 0.496622I
−1.66106 + 1.37436I 0
u = 0.498264 − 0.497941I
a = 1.016200 − 0.976841I
b = 1.017610 + 0.496622I
−1.66106 − 1.37436I 0
u = −0.789711 + 1.027930I
a = 0.351565 − 0.708003I
b = 1.45014 + 0.10270I
1.92862 + 6.79274I 0
u = −0.789711 − 1.027930I
a = 0.351565 + 0.708003I
b = 1.45014 − 0.10270I
1.92862 − 6.79274I 0
u = 1.29832
a = 1.04923
b = 1.40950
1.43686 0
u = −0.323095 + 0.615709I
a = 0.461147 + 0.706059I
b = 0.419162 + 0.114693I
0.61372 − 4.18682I 0
u = −0.323095 − 0.615709I
a = 0.461147 − 0.706059I
b = 0.419162 − 0.114693I
0.61372 + 4.18682I 0
u = −0.508419 + 0.472877I
a = −0.503800 − 0.581500I
b = −0.332541 − 0.142272I
1.291470 + 0.512565I 0
u = −0.508419 − 0.472877I
a = −0.503800 + 0.581500I
b = −0.332541 + 0.142272I
1.291470 − 0.512565I 0
u = −0.691075 + 0.008162I
a = 0.503183 − 1.159190I
b = −0.202881 − 0.749571I
2.81155 − 2.16819I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.691075 − 0.008162I
a = 0.503183 + 1.159190I
b = −0.202881 + 0.749571I
2.81155 + 2.16819I 0
u = 0.404482 + 0.553410I
a = 1.232900 + 0.332174I
b = 1.39428 − 0.78774I
−1.21336 + 1.54147I 0
u = 0.404482 − 0.553410I
a = 1.232900 − 0.332174I
b = 1.39428 + 0.78774I
−1.21336 − 1.54147I 0
u = −1.330080 + 0.134554I
a = −0.182284 − 1.009940I
b = 0.024693 + 0.436211I
3.17278 − 3.33556I 0
u = −1.330080 − 0.134554I
a = −0.182284 + 1.009940I
b = 0.024693 − 0.436211I
3.17278 + 3.33556I 0
u = −1.319720 + 0.218573I
a = −0.533328 + 0.810389I
b = −1.27843 − 1.67952I
4.59691 − 4.51548I 0
u = −1.319720 − 0.218573I
a = −0.533328 − 0.810389I
b = −1.27843 + 1.67952I
4.59691 + 4.51548I 0
u = 0.328499 + 0.563619I
a = −1.78017 − 0.62506I
b = −1.129840 − 0.196835I
−6.26920 + 1.55197I 0
u = 0.328499 − 0.563619I
a = −1.78017 + 0.62506I
b = −1.129840 + 0.196835I
−6.26920 − 1.55197I 0
u = −1.352080 + 0.055142I
a = −0.660200 − 0.792131I
b = −0.406617 + 0.087523I
2.93578 − 2.96211I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.352080 − 0.055142I
a = −0.660200 + 0.792131I
b = −0.406617 − 0.087523I
2.93578 + 2.96211I 0
u = −0.285481 + 0.553910I
a = −0.94736 + 1.17382I
b = −1.190160 + 0.562522I
1.30137 + 1.64548I 6.00000 + 1.95387I
u = −0.285481 − 0.553910I
a = −0.94736 − 1.17382I
b = −1.190160 − 0.562522I
1.30137 − 1.64548I 6.00000 − 1.95387I
u = 1.377400 + 0.112468I
a = 0.235643 − 0.389792I
b = 1.75504 + 0.00095I
5.67734 + 6.92704I 0
u = 1.377400 − 0.112468I
a = 0.235643 + 0.389792I
b = 1.75504 − 0.00095I
5.67734 − 6.92704I 0
u = 1.41551 + 0.05574I
a = −0.249296 + 0.336866I
b = −1.54864 − 0.04612I
7.15767 + 1.38994I 0
u = 1.41551 − 0.05574I
a = −0.249296 − 0.336866I
b = −1.54864 + 0.04612I
7.15767 − 1.38994I 0
u = 1.42040 + 0.02638I
a = 0.12259 − 1.43678I
b = 0.094743 + 1.207000I
4.01824 + 3.75134I 0
u = 1.42040 − 0.02638I
a = 0.12259 + 1.43678I
b = 0.094743 − 1.207000I
4.01824 − 3.75134I 0
u = −1.43115 + 0.00636I
a = −0.342602 + 0.821484I
b = −1.48878 − 1.90769I
7.97719 − 1.10739I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.43115 − 0.00636I
a = −0.342602 − 0.821484I
b = −1.48878 + 1.90769I
7.97719 + 1.10739I 0
u = 1.42538 + 0.13458I
a = −0.887686 − 0.837109I
b = −1.14358 + 0.89620I
7.13739 + 5.87227I 0
u = 1.42538 − 0.13458I
a = −0.887686 + 0.837109I
b = −1.14358 − 0.89620I
7.13739 − 5.87227I 0
u = 1.39669 + 0.31721I
a = 0.364316 + 0.211138I
b = 1.28444 − 0.91618I
5.83758 + 7.50527I 0
u = 1.39669 − 0.31721I
a = 0.364316 − 0.211138I
b = 1.28444 + 0.91618I
5.83758 − 7.50527I 0
u = −1.42555 + 0.19539I
a = −0.471933 + 0.660900I
b = −1.39717 − 0.25537I
−0.61246 − 4.33479I 0
u = −1.42555 − 0.19539I
a = −0.471933 − 0.660900I
b = −1.39717 + 0.25537I
−0.61246 + 4.33479I 0
u = 1.42457 + 0.27958I
a = 0.734432 + 0.699953I
b = 1.51640 − 1.08330I
1.88870 + 10.41200I 0
u = 1.42457 − 0.27958I
a = 0.734432 − 0.699953I
b = 1.51640 + 1.08330I
1.88870 − 10.41200I 0
u = 1.43635 + 0.21406I
a = −0.341682 − 0.222471I
b = −1.25038 + 0.72200I
7.27814 + 1.83894I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.43635 − 0.21406I
a = −0.341682 + 0.222471I
b = −1.25038 − 0.72200I
7.27814 − 1.83894I 0
u = −1.47021 + 0.03880I
a = 0.431408 − 0.752415I
b = 0.751331 + 0.624823I
4.94397 − 2.66854I 0
u = −1.47021 − 0.03880I
a = 0.431408 + 0.752415I
b = 0.751331 − 0.624823I
4.94397 + 2.66854I 0
u = 1.47981
a = 0.430171
b = −0.102083
7.68909 0
u = −0.284851 + 0.429526I
a = −2.70467 + 0.11196I
b = −0.916650 − 0.616764I
1.60459 − 3.84172I 8.84200 + 10.85813I
u = −0.284851 − 0.429526I
a = −2.70467 − 0.11196I
b = −0.916650 + 0.616764I
1.60459 + 3.84172I 8.84200 − 10.85813I
u = −1.48438 + 0.03284I
a = 0.343307 − 0.777614I
b = 1.60424 + 1.82962I
8.16254 − 6.34416I 0
u = −1.48438 − 0.03284I
a = 0.343307 + 0.777614I
b = 1.60424 − 1.82962I
8.16254 + 6.34416I 0
u = 0.218770 + 0.450408I
a = 0.73303 + 1.25721I
b = 0.697553 − 0.256568I
−1.60581 + 1.06805I −0.56189 − 2.30198I
u = 0.218770 − 0.450408I
a = 0.73303 − 1.25721I
b = 0.697553 + 0.256568I
−1.60581 − 1.06805I −0.56189 + 2.30198I
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.171797 + 0.464235I
a = 0.62471 + 1.85083I
b = 0.701346 − 0.001848I
−1.57573 + 1.11003I −1.82221 − 3.85918I
u = 0.171797 − 0.464235I
a = 0.62471 − 1.85083I
b = 0.701346 + 0.001848I
−1.57573 − 1.11003I −1.82221 + 3.85918I
u = −1.52617 + 0.17115I
a = 0.422183 − 0.701863I
b = 1.35404 + 1.44231I
5.33523 − 4.21971I 0
u = −1.52617 − 0.17115I
a = 0.422183 + 0.701863I
b = 1.35404 − 1.44231I
5.33523 + 4.21971I 0
u = −0.459350
a = −0.616527
b = −0.196835
0.646841 15.6940
u = −1.52857 + 0.19712I
a = 0.416577 − 0.652874I
b = 1.73061 + 0.73350I
5.16134 − 5.41994I 0
u = −1.52857 − 0.19712I
a = 0.416577 + 0.652874I
b = 1.73061 − 0.73350I
5.16134 + 5.41994I 0
u = −1.54013 + 0.13822I
a = 0.901321 + 0.306423I
b = 0.153566 + 0.050367I
13.13020 − 4.23147I 0
u = −1.54013 − 0.13822I
a = 0.901321 − 0.306423I
b = 0.153566 − 0.050367I
13.13020 + 4.23147I 0
u = −1.52843 + 0.23524I
a = −0.421757 + 0.632040I
b = −1.89537 − 0.56177I
3.83848 − 10.84980I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.52843 − 0.23524I
a = −0.421757 − 0.632040I
b = −1.89537 + 0.56177I
3.83848 + 10.84980I 0
u = −1.55259 + 0.18914I
a = −0.816437 − 0.313853I
b = −0.151088 − 0.077565I
11.6728 − 10.8282I 0
u = −1.55259 − 0.18914I
a = −0.816437 + 0.313853I
b = −0.151088 + 0.077565I
11.6728 + 10.8282I 0
u = 1.56319 + 0.28705I
a = −0.630557 − 0.732829I
b = −1.45401 + 1.40123I
10.0027 + 11.7199I 0
u = 1.56319 − 0.28705I
a = −0.630557 + 0.732829I
b = −1.45401 − 1.40123I
10.0027 − 11.7199I 0
u = −1.53087 + 0.44466I
a = −0.538677 + 0.605984I
b = −1.27237 − 1.73794I
8.51430 − 7.66393I 0
u = −1.53087 − 0.44466I
a = −0.538677 − 0.605984I
b = −1.27237 + 1.73794I
8.51430 + 7.66393I 0
u = 1.60635 + 0.00240I
a = −0.194839 + 0.106575I
b = −0.461684 + 0.006920I
7.99022 − 0.01147I 0
u = 1.60635 − 0.00240I
a = −0.194839 − 0.106575I
b = −0.461684 − 0.006920I
7.99022 + 0.01147I 0
u = 1.57491 + 0.32730I
a = 0.620503 + 0.703580I
b = 1.54320 − 1.43840I
8.5741 + 17.9836I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.57491 − 0.32730I
a = 0.620503 − 0.703580I
b = 1.54320 + 1.43840I
8.5741 − 17.9836I 0
u = −1.59105 + 0.38347I
a = 0.495046 − 0.610111I
b = 1.19813 + 1.73205I
8.66822 − 2.28109I 0
u = −1.59105 − 0.38347I
a = 0.495046 + 0.610111I
b = 1.19813 − 1.73205I
8.66822 + 2.28109I 0
u = 1.65004 + 0.15658I
a = 0.362370 − 0.138439I
b = −0.032142 + 0.428821I
11.24740 + 2.95138I 0
u = 1.65004 − 0.15658I
a = 0.362370 + 0.138439I
b = −0.032142 − 0.428821I
11.24740 − 2.95138I 0
u = 1.65934 + 0.01198I
a = −0.016372 + 0.209351I
b = −0.132580 + 0.856158I
11.19400 + 2.62330I 0
u = 1.65934 − 0.01198I
a = −0.016372 − 0.209351I
b = −0.132580 − 0.856158I
11.19400 − 2.62330I 0
u = 1.68849 + 0.10230I
a = −0.339496 + 0.135960I
b = −0.087733 − 0.475697I
11.33020 − 2.37820I 0
u = 1.68849 − 0.10230I
a = −0.339496 − 0.135960I
b = −0.087733 + 0.475697I
11.33020 + 2.37820I 0
u = 0.265823 + 0.008631I
a = 1.48171 + 3.11119I
b = 1.51242 − 1.11418I
2.11539 + 6.04579I 10.4529 − 10.3544I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.265823 − 0.008631I
a = 1.48171 − 3.11119I
b = 1.51242 + 1.11418I
2.11539 − 6.04579I 10.4529 + 10.3544I
u = −0.0385713 + 0.1129770I
a = −12.06090 + 6.19371I
b = −0.090997 − 0.588756I
−1.02861 − 3.32635I −5.1015 + 16.5830I
u = −0.0385713 − 0.1129770I
a = −12.06090 − 6.19371I
b = −0.090997 + 0.588756I
−1.02861 + 3.32635I −5.1015 − 16.5830I
u = 0.0748363 + 0.0173615I
a = −7.05729 − 9.61172I
b = −1.30476 + 1.14378I
2.76607 + 1.01915I 12.89262 − 4.58125I
u = 0.0748363 − 0.0173615I
a = −7.05729 + 9.61172I
b = −1.30476 − 1.14378I
2.76607 − 1.01915I 12.89262 + 4.58125I
16
II.
I
u
2
= hu
24
− 14u
22
+ · · · + b + 2, u
24
+ u
23
+ · · · + a + u, u
25
+ u
24
+ · · · + u + 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
8
=
1
−u
2
a
1
=
u
−u
3
+ u
a
4
=
−u
24
− u
23
+ ··· − 3u
2
− u
−u
24
+ 14u
22
+ ··· − u − 2
a
9
=
−u
2
+ 1
u
4
− 2u
2
a
3
=
−u
23
− u
22
+ ··· − u + 1
−u
24
+ 14u
22
+ ··· + 8u
2
− 2
a
11
=
−u
23
+ 14u
21
+ ··· + 8u + 2
u
2
− 1
a
5
=
u
23
+ u
22
+ ··· + 8u
2
+ u
−2u
24
+ 28u
22
+ ··· − u − 2
a
10
=
−u
23
+ 14u
21
+ ··· + 8u + 3
u
2
− 1
a
6
=
u
24
+ u
23
+ ··· − 7u − 1
u
4
− 2u
2
+ 1
a
2
=
−u
24
− u
23
+ ··· + 7u + 2
−u
24
+ 14u
22
+ ··· + 4u
2
− 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = 2u
24
− 3u
23
− 27u
22
+ 34u
21
+ 163u
20
− 154u
19
− 572u
18
+
325u
17
+ 1266u
16
− 185u
15
− 1790u
14
− 561u
13
+ 1547u
12
+ 1312u
11
− 660u
10
−
1220u
9
− 117u
8
+ 571u
7
+ 326u
6
− 108u
5
− 144u
4
− 31u
3
+ 15u
2
+ 11u + 9
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
25
− 11u
24
+ ··· + 11u − 1
c
2
u
25
− u
24
+ ··· + u − 1
c
3
u
25
− 2u
23
+ ··· − u + 1
c
4
u
25
+ 12u
23
+ ··· − 3u − 1
c
5
u
25
+ u
24
+ ··· + u + 1
c
6
u
25
− 4u
24
+ ··· − 7u − 3
c
7
, c
8
u
25
+ u
24
+ ··· + u + 1
c
9
u
25
− 2u
23
+ ··· − 3u − 1
c
10
u
25
+ 4u
24
+ ··· − 7u + 3
c
11
u
25
+ 12u
23
+ ··· − 3u + 1
c
12
u
25
− u
24
+ ··· + u − 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
25
+ 17y
24
+ ··· − 9y −1
c
2
, c
5
y
25
− 11y
24
+ ··· + 11y −1
c
3
y
25
− 4y
24
+ ··· + 7y −1
c
4
, c
11
y
25
+ 24y
24
+ ··· − 21y −1
c
6
, c
10
y
25
− 28y
24
+ ··· + 109y −9
c
7
, c
8
, c
12
y
25
− 29y
24
+ ··· + 9y −1
c
9
y
25
− 4y
24
+ ··· + 5y −1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.899524 + 0.143935I
a = −0.22000 − 1.49116I
b = 0.093617 + 0.808110I
−4.77060 + 0.53467I 1.18210 + 3.54286I
u = 0.899524 − 0.143935I
a = −0.22000 + 1.49116I
b = 0.093617 − 0.808110I
−4.77060 − 0.53467I 1.18210 − 3.54286I
u = −0.461491 + 0.651874I
a = −0.650192 + 0.796845I
b = −1.71465 + 0.47286I
1.61103 + 5.13748I 5.49787 − 3.27489I
u = −0.461491 − 0.651874I
a = −0.650192 − 0.796845I
b = −1.71465 − 0.47286I
1.61103 − 5.13748I 5.49787 + 3.27489I
u = −0.345068 + 0.672227I
a = 0.843939 − 0.815283I
b = 1.54914 − 0.69507I
2.25062 + 0.31902I 6.04160 + 3.85521I
u = −0.345068 − 0.672227I
a = 0.843939 + 0.815283I
b = 1.54914 + 0.69507I
2.25062 − 0.31902I 6.04160 − 3.85521I
u = −1.29243
a = −0.898087
b = −1.69102
1.68877 24.9680
u = 1.336760 + 0.062255I
a = 0.25063 − 1.39537I
b = 0.118444 + 0.272340I
2.76548 + 3.95750I 1.26642 − 10.15772I
u = 1.336760 − 0.062255I
a = 0.25063 + 1.39537I
b = 0.118444 − 0.272340I
2.76548 − 3.95750I 1.26642 + 10.15772I
u = −0.604763 + 0.232407I
a = 0.094492 + 0.709624I
b = −1.058210 − 0.372015I
−0.894995 − 0.310970I 4.26361 − 1.77333I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.604763 − 0.232407I
a = 0.094492 − 0.709624I
b = −1.058210 + 0.372015I
−0.894995 + 0.310970I 4.26361 + 1.77333I
u = −1.365210 + 0.285994I
a = −0.440687 + 0.557939I
b = −1.92813 − 1.45861I
5.02864 − 8.59211I 8.28724 + 9.01089I
u = −1.365210 − 0.285994I
a = −0.440687 − 0.557939I
b = −1.92813 + 1.45861I
5.02864 + 8.59211I 8.28724 − 9.01089I
u = −1.44588 + 0.24349I
a = 0.427346 − 0.651047I
b = 1.63249 + 1.65225I
6.46764 − 3.71317I 11.06101 + 1.99584I
u = −1.44588 − 0.24349I
a = 0.427346 + 0.651047I
b = 1.63249 − 1.65225I
6.46764 + 3.71317I 11.06101 − 1.99584I
u = −1.46192 + 0.13002I
a = 0.506435 − 0.863405I
b = 1.06541 + 1.44046I
6.56506 − 4.68100I 11.18703 + 4.24370I
u = −1.46192 − 0.13002I
a = 0.506435 + 0.863405I
b = 1.06541 − 1.44046I
6.56506 + 4.68100I 11.18703 − 4.24370I
u = −0.117385 + 0.504417I
a = 1.63922 − 1.22564I
b = 0.963769 − 0.734389I
1.42552 + 2.47811I 5.45262 − 6.08221I
u = −0.117385 − 0.504417I
a = 1.63922 + 1.22564I
b = 0.963769 + 0.734389I
1.42552 − 2.47811I 5.45262 + 6.08221I
u = 0.392045 + 0.179102I
a = −1.72754 − 2.97371I
b = −0.109614 + 0.850417I
−0.81902 − 3.09615I 13.37035 − 2.81210I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.392045 − 0.179102I
a = −1.72754 + 2.97371I
b = −0.109614 − 0.850417I
−0.81902 + 3.09615I 13.37035 + 2.81210I
u = 1.60164 + 0.06657I
a = −0.254836 + 0.308818I
b = −0.212542 + 0.105314I
8.22124 − 0.33216I 14.7793 + 12.1565I
u = 1.60164 − 0.06657I
a = −0.254836 − 0.308818I
b = −0.212542 − 0.105314I
8.22124 + 0.33216I 14.7793 − 12.1565I
u = 1.71797 + 0.02033I
a = −0.019762 + 0.365389I
b = −0.054207 + 0.375046I
10.78340 + 2.55543I − 60.10 − 1.178635I
u = 1.71797 − 0.02033I
a = −0.019762 − 0.365389I
b = −0.054207 − 0.375046I
10.78340 − 2.55543I − 60.10 + 1.178635I
22
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
25
− 11u
24
+ ··· + 11u − 1)(u
115
+ 42u
114
+ ··· + 430u + 1)
c
2
(u
25
− u
24
+ ··· + u − 1)(u
115
+ 6u
114
+ ··· + 34u + 1)
c
3
(u
25
− 2u
23
+ ··· − u + 1)(u
115
− u
114
+ ··· + 382316u − 23801)
c
4
(u
25
+ 12u
23
+ ··· − 3u − 1)(u
115
− 3u
114
+ ··· + 2u − 1)
c
5
(u
25
+ u
24
+ ··· + u + 1)(u
115
+ 6u
114
+ ··· + 34u + 1)
c
6
(u
25
− 4u
24
+ ··· − 7u − 3)(u
115
+ 3u
114
+ ··· + 416u + 649)
c
7
, c
8
(u
25
+ u
24
+ ··· + u + 1)(u
115
+ 2u
114
+ ··· − 28u − 1)
c
9
(u
25
− 2u
23
+ ··· − 3u − 1)(u
115
+ u
114
+ ··· − 1504u − 71)
c
10
(u
25
+ 4u
24
+ ··· − 7u + 3)(u
115
+ 3u
114
+ ··· + 416u + 649)
c
11
(u
25
+ 12u
23
+ ··· − 3u + 1)(u
115
− 3u
114
+ ··· + 2u − 1)
c
12
(u
25
− u
24
+ ··· + u − 1)(u
115
+ 2u
114
+ ··· − 28u − 1)
23
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
25
+ 17y
24
+ ··· − 9y −1)(y
115
+ 74y
114
+ ··· − 137646y −1)
c
2
, c
5
(y
25
− 11y
24
+ ··· + 11y −1)(y
115
− 42y
114
+ ··· + 430y −1)
c
3
(y
25
− 4y
24
+ ··· + 7y −1)
· (y
115
− 35y
114
+ ··· + 165406395062y −566487601)
c
4
, c
11
(y
25
+ 24y
24
+ ··· − 21y −1)(y
115
+ 65y
114
+ ··· − 6y −1)
c
6
, c
10
(y
25
− 28y
24
+ ··· + 109y −9)
· (y
115
− 91y
114
+ ··· + 19697572y −421201)
c
7
, c
8
, c
12
(y
25
− 29y
24
+ ··· + 9y −1)(y
115
− 120y
114
+ ··· + 232y −1)
c
9
(y
25
− 4y
24
+ ··· + 5y −1)(y
115
− 23y
114
+ ··· + 3132476y −5041)
24
