12a
0695
(K12a
0695
)
A knot diagram
1
Linearized knot diagam
3 8 6 10 9 11 2 1 12 7 4 5
Solving Sequence
2,7
8 3 1
9,11
6 4 12 5 10
c
7
c
2
c
1
c
8
c
6
c
3
c
11
c
5
c
10
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h−8.05911 × 10
332
u
175
+ 4.18234 × 10
332
u
174
+ ··· + 1.15862 × 10
331
b − 1.72139 × 10
333
,
4.55348 × 10
333
u
175
− 2.30916 × 10
333
u
174
+ ··· + 1.15862 × 10
331
a + 9.31822 × 10
333
, u
176
− u
175
+ ··· + u − 1i
I
u
2
= h−1320u
38
+ 288u
37
+ ··· + 79b − 520, −1681u
38
+ 1253u
37
+ ··· + 79a − 2010,
u
39
− 11u
37
+ ··· − 7u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 215 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−8.06 × 10
332
u
175
+ 4.18 × 10
332
u
174
+ · · · + 1.16 × 10
331
b − 1.72 ×
10
333
, 4.55 × 10
333
u
175
− 2.31 × 10
333
u
174
+ · · · + 1.16 × 10
331
a + 9.32 ×
10
333
, u
176
− u
175
+ · · · + u − 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
9
=
u
6
− u
4
+ 1
u
8
− 2u
6
+ 2u
4
a
11
=
−393.011u
175
+ 199.304u
174
+ ··· − 813.604u − 804.255
69.5581u
175
− 36.0978u
174
+ ··· + 168.780u + 148.573
a
6
=
80.7532u
175
− 51.9642u
174
+ ··· + 340.506u + 219.915
−61.1617u
175
+ 32.3738u
174
+ ··· − 165.021u − 130.889
a
4
=
142.500u
175
− 69.2550u
174
+ ··· + 214.426u + 268.079
−25.5883u
175
+ 11.5078u
174
+ ··· − 41.3361u − 48.0003
a
12
=
−130.167u
175
+ 63.4849u
174
+ ··· − 188.976u − 239.495
46.1287u
175
− 22.1889u
174
+ ··· + 93.4806u + 91.9512
a
5
=
23.0458u
175
− 20.8010u
174
+ ··· + 171.101u + 93.5464
−65.4961u
175
+ 34.4807u
174
+ ··· − 174.631u − 139.424
a
10
=
−323.452u
175
+ 163.206u
174
+ ··· − 644.825u − 655.682
69.5581u
175
− 36.0978u
174
+ ··· + 168.780u + 148.573
(ii) Obstruction class = −1
(iii) Cusp Shapes = 392.821u
175
− 202.925u
174
+ ··· + 886.971u + 824.892
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
176
+ 91u
175
+ ··· + 15u + 1
c
2
, c
7
u
176
− u
175
+ ··· + u − 1
c
3
u
176
− 7u
175
+ ··· − 6680352u − 155647
c
4
u
176
+ u
175
+ ··· − 2208u + 2592
c
5
u
176
+ 4u
175
+ ··· − 28u + 1
c
6
, c
10
u
176
+ 48u
174
+ ··· + 26878u + 31907
c
8
u
176
− 6u
175
+ ··· + 22634157u − 2052171
c
9
u
176
− 15u
175
+ ··· + 55u − 1
c
11
u
176
+ 3u
175
+ ··· − 39223u + 39029
c
12
u
176
+ 2u
175
+ ··· + 58430u − 7292
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
176
+ y
175
+ ··· − 87y + 1
c
2
, c
7
y
176
− 91y
175
+ ··· − 15y + 1
c
3
y
176
− 23y
175
+ ··· − 30510996087262y + 24225988609
c
4
y
176
+ y
175
+ ··· + 583363584y + 6718464
c
5
y
176
− 26y
175
+ ··· + 92y + 1
c
6
, c
10
y
176
+ 96y
175
+ ··· + 33870568190y + 1018056649
c
8
y
176
+ 74y
175
+ ··· − 184259306568177y + 4211405813241
c
9
y
176
+ 9y
175
+ ··· − 417y + 1
c
11
y
176
− 41y
175
+ ··· − 26665548103y + 1523262841
c
12
y
176
− 32y
175
+ ··· − 4059654828y + 53173264
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.772084 + 0.631405I
a = 0.386729 − 0.478138I
b = −1.050600 + 0.015764I
1.75801 + 7.37531I 0
u = −0.772084 − 0.631405I
a = 0.386729 + 0.478138I
b = −1.050600 − 0.015764I
1.75801 − 7.37531I 0
u = −0.795396 + 0.611899I
a = −0.273713 + 0.895944I
b = 0.968103 + 0.184926I
1.69068 − 2.53258I 0
u = −0.795396 − 0.611899I
a = −0.273713 − 0.895944I
b = 0.968103 − 0.184926I
1.69068 + 2.53258I 0
u = −0.831404 + 0.564856I
a = 1.58196 + 2.22957I
b = −0.105424 − 1.183090I
5.96580 + 0.08209I 0
u = −0.831404 − 0.564856I
a = 1.58196 − 2.22957I
b = −0.105424 + 1.183090I
5.96580 − 0.08209I 0
u = 0.849290 + 0.512573I
a = −0.283240 − 0.874697I
b = 0.258320 + 0.238983I
1.91125 − 2.83680I 0
u = 0.849290 − 0.512573I
a = −0.283240 + 0.874697I
b = 0.258320 − 0.238983I
1.91125 + 2.83680I 0
u = 0.829391 + 0.601837I
a = 0.592729 − 1.265030I
b = 0.034321 + 0.795540I
2.03014 − 2.37634I 0
u = 0.829391 − 0.601837I
a = 0.592729 + 1.265030I
b = 0.034321 − 0.795540I
2.03014 + 2.37634I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.910137 + 0.253340I
a = 1.16415 − 0.88953I
b = 0.396738 + 1.048690I
1.39492 − 3.24141I 0
u = 0.910137 − 0.253340I
a = 1.16415 + 0.88953I
b = 0.396738 − 1.048690I
1.39492 + 3.24141I 0
u = 0.616520 + 0.706643I
a = 0.43588 − 1.74272I
b = −0.41914 + 1.40025I
6.35204 − 1.82805I 0
u = 0.616520 − 0.706643I
a = 0.43588 + 1.74272I
b = −0.41914 − 1.40025I
6.35204 + 1.82805I 0
u = 0.280512 + 0.887620I
a = 0.19111 + 1.57165I
b = 0.61812 − 1.28849I
0.79685 + 7.07641I 0
u = 0.280512 − 0.887620I
a = 0.19111 − 1.57165I
b = 0.61812 + 1.28849I
0.79685 − 7.07641I 0
u = −0.989965 + 0.409703I
a = 1.97607 + 0.57801I
b = −0.24577 − 1.41750I
1.41305 − 2.49952I 0
u = −0.989965 − 0.409703I
a = 1.97607 − 0.57801I
b = −0.24577 + 1.41750I
1.41305 + 2.49952I 0
u = −0.726012 + 0.578316I
a = 0.54695 + 2.85419I
b = 0.189203 − 1.238060I
6.26873 + 4.46261I 0
u = −0.726012 − 0.578316I
a = 0.54695 − 2.85419I
b = 0.189203 + 1.238060I
6.26873 − 4.46261I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.071020 + 0.074266I
a = 0.905054 − 0.745487I
b = 0.188448 − 1.170340I
0.60233 − 2.21839I 0
u = −1.071020 − 0.074266I
a = 0.905054 + 0.745487I
b = 0.188448 + 1.170340I
0.60233 + 2.21839I 0
u = 0.751622 + 0.766640I
a = −0.72034 + 1.55866I
b = 0.424803 − 1.293130I
6.20636 + 7.20016I 0
u = 0.751622 − 0.766640I
a = −0.72034 − 1.55866I
b = 0.424803 + 1.293130I
6.20636 − 7.20016I 0
u = 0.523556 + 0.937772I
a = 0.19336 − 1.55260I
b = 0.202778 + 1.216910I
4.03333 − 3.06509I 0
u = 0.523556 − 0.937772I
a = 0.19336 + 1.55260I
b = 0.202778 − 1.216910I
4.03333 + 3.06509I 0
u = 0.248844 + 0.874267I
a = −0.36164 − 1.74912I
b = −0.62405 + 1.29170I
2.3648 + 15.3211I 0
u = 0.248844 − 0.874267I
a = −0.36164 + 1.74912I
b = −0.62405 − 1.29170I
2.3648 − 15.3211I 0
u = −0.313083 + 0.851026I
a = −0.15408 + 1.92699I
b = −0.346181 − 0.950469I
−0.58860 − 6.43357I 0
u = −0.313083 − 0.851026I
a = −0.15408 − 1.92699I
b = −0.346181 + 0.950469I
−0.58860 + 6.43357I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.845678 + 0.720150I
a = −0.87817 + 2.05654I
b = −0.494050 − 1.309690I
5.91779 − 12.72970I 0
u = 0.845678 − 0.720150I
a = −0.87817 − 2.05654I
b = −0.494050 + 1.309690I
5.91779 + 12.72970I 0
u = −0.099796 + 0.882186I
a = 0.65445 − 1.29489I
b = 0.119068 + 0.955437I
2.30671 − 0.53626I 0
u = −0.099796 − 0.882186I
a = 0.65445 + 1.29489I
b = 0.119068 − 0.955437I
2.30671 + 0.53626I 0
u = 1.061300 + 0.336516I
a = 0.789238 + 0.389183I
b = 0.518717 − 1.119720I
0.31189 + 3.87347I 0
u = 1.061300 − 0.336516I
a = 0.789238 − 0.389183I
b = 0.518717 + 1.119720I
0.31189 − 3.87347I 0
u = −0.583405 + 0.646906I
a = 0.00791 − 2.68900I
b = −0.384549 + 1.115100I
5.20189 + 4.64916I 0
u = −0.583405 − 0.646906I
a = 0.00791 + 2.68900I
b = −0.384549 − 1.115100I
5.20189 − 4.64916I 0
u = 0.861215 + 0.043974I
a = 0.315283 − 0.376908I
b = 0.576517 + 1.082110I
0.75643 − 4.68031I 0
u = 0.861215 − 0.043974I
a = 0.315283 + 0.376908I
b = 0.576517 − 1.082110I
0.75643 + 4.68031I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.032460 + 0.487696I
a = −1.17792 − 1.00521I
b = 0.410754 + 1.220280I
2.46883 + 2.35972I 0
u = −1.032460 − 0.487696I
a = −1.17792 + 1.00521I
b = 0.410754 − 1.220280I
2.46883 − 2.35972I 0
u = −1.067040 + 0.408222I
a = 0.665900 + 0.010605I
b = 0.709813 − 0.292700I
−2.10742 + 0.78957I 0
u = −1.067040 − 0.408222I
a = 0.665900 − 0.010605I
b = 0.709813 + 0.292700I
−2.10742 − 0.78957I 0
u = −0.786697 + 0.829996I
a = −0.41693 − 1.78105I
b = −0.055073 + 0.896428I
1.92689 + 3.02550I 0
u = −0.786697 − 0.829996I
a = −0.41693 + 1.78105I
b = −0.055073 − 0.896428I
1.92689 − 3.02550I 0
u = −0.980441 + 0.591046I
a = −1.35563 − 1.40335I
b = 0.333446 + 1.065070I
4.04540 + 0.18260I 0
u = −0.980441 − 0.591046I
a = −1.35563 + 1.40335I
b = 0.333446 − 1.065070I
4.04540 − 0.18260I 0
u = −0.241160 + 0.807723I
a = 0.439582 − 0.080960I
b = −1.128980 + 0.235809I
−0.97830 − 9.12392I 0
u = −0.241160 − 0.807723I
a = 0.439582 + 0.080960I
b = −1.128980 − 0.235809I
−0.97830 + 9.12392I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.671840 + 0.507044I
a = 0.875589 − 0.171426I
b = −0.398835 + 0.082234I
2.40897 − 1.35178I 0
u = 0.671840 − 0.507044I
a = 0.875589 + 0.171426I
b = −0.398835 − 0.082234I
2.40897 + 1.35178I 0
u = 0.175513 + 0.822563I
a = 0.256083 + 0.569844I
b = −0.333797 − 0.579083I
−1.67003 + 3.31142I 0
u = 0.175513 − 0.822563I
a = 0.256083 − 0.569844I
b = −0.333797 + 0.579083I
−1.67003 − 3.31142I 0
u = 0.960683 + 0.654923I
a = 1.40621 − 1.67804I
b = 0.53868 + 1.37935I
5.36515 − 3.35518I 0
u = 0.960683 − 0.654923I
a = 1.40621 + 1.67804I
b = 0.53868 − 1.37935I
5.36515 + 3.35518I 0
u = 1.085560 + 0.417412I
a = 0.472209 − 1.231880I
b = 0.719180 − 0.879757I
0.915909 − 0.765885I 0
u = 1.085560 − 0.417412I
a = 0.472209 + 1.231880I
b = 0.719180 + 0.879757I
0.915909 + 0.765885I 0
u = 1.161860 + 0.174990I
a = −0.650483 − 0.876063I
b = −0.352058 + 0.392549I
−4.47664 − 4.01647I 0
u = 1.161860 − 0.174990I
a = −0.650483 + 0.876063I
b = −0.352058 − 0.392549I
−4.47664 + 4.01647I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.821933
a = 0.330890
b = 0.486971
−1.19520 0
u = 0.762330 + 0.288285I
a = −2.42154 − 0.10478I
b = −0.429476 − 1.052040I
1.31789 − 6.31914I 0
u = 0.762330 − 0.288285I
a = −2.42154 + 0.10478I
b = −0.429476 + 1.052040I
1.31789 + 6.31914I 0
u = 0.370598 + 0.725861I
a = −0.04809 + 1.93496I
b = −0.19371 − 1.45794I
5.24700 + 4.17041I 0
u = 0.370598 − 0.725861I
a = −0.04809 − 1.93496I
b = −0.19371 + 1.45794I
5.24700 − 4.17041I 0
u = 1.102650 + 0.438310I
a = 2.41955 − 2.23545I
b = 0.244397 + 0.947753I
−3.59005 − 0.60302I 0
u = 1.102650 − 0.438310I
a = 2.41955 + 2.23545I
b = 0.244397 − 0.947753I
−3.59005 + 0.60302I 0
u = 1.149430 + 0.301597I
a = −1.33084 + 0.80196I
b = −1.015400 − 0.465558I
−6.72097 − 2.25375I 0
u = 1.149430 − 0.301597I
a = −1.33084 − 0.80196I
b = −1.015400 + 0.465558I
−6.72097 + 2.25375I 0
u = 1.109120 + 0.442579I
a = −0.21854 + 1.62375I
b = −1.42865 + 0.20992I
−5.26203 − 3.34381I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.109120 − 0.442579I
a = −0.21854 − 1.62375I
b = −1.42865 − 0.20992I
−5.26203 + 3.34381I 0
u = 1.127650 + 0.398051I
a = 0.107256 + 0.326558I
b = −0.72104 + 1.29672I
−1.91518 + 2.79794I 0
u = 1.127650 − 0.398051I
a = 0.107256 − 0.326558I
b = −0.72104 − 1.29672I
−1.91518 − 2.79794I 0
u = 1.148970 + 0.340430I
a = −0.125278 − 0.412078I
b = −0.395184 + 1.241730I
0.10609 + 2.29823I 0
u = 1.148970 − 0.340430I
a = −0.125278 + 0.412078I
b = −0.395184 − 1.241730I
0.10609 − 2.29823I 0
u = −1.109310 + 0.469165I
a = 1.079680 − 0.534307I
b = 0.401940 + 0.866799I
−3.35800 + 6.83420I 0
u = −1.109310 − 0.469165I
a = 1.079680 + 0.534307I
b = 0.401940 − 0.866799I
−3.35800 − 6.83420I 0
u = 1.020680 + 0.641610I
a = 0.96255 − 1.06129I
b = −0.094578 + 1.179150I
2.54989 − 2.61011I 0
u = 1.020680 − 0.641610I
a = 0.96255 + 1.06129I
b = −0.094578 − 1.179150I
2.54989 + 2.61011I 0
u = −0.314101 + 0.729321I
a = −0.353856 + 0.409317I
b = 1.208190 − 0.290318I
−2.52634 − 0.76605I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.314101 − 0.729321I
a = −0.353856 − 0.409317I
b = 1.208190 + 0.290318I
−2.52634 + 0.76605I 0
u = −1.102590 + 0.488489I
a = 2.37026 + 1.14278I
b = 0.730174 − 1.045170I
1.45031 + 6.51082I 0
u = −1.102590 − 0.488489I
a = 2.37026 − 1.14278I
b = 0.730174 + 1.045170I
1.45031 − 6.51082I 0
u = −1.116910 + 0.462832I
a = −0.889434 − 1.076330I
b = −1.308490 + 0.333537I
−5.10271 + 4.19567I 0
u = −1.116910 − 0.462832I
a = −0.889434 + 1.076330I
b = −1.308490 − 0.333537I
−5.10271 − 4.19567I 0
u = −1.132710 + 0.432211I
a = −0.425026 − 0.222004I
b = −0.571757 − 0.793007I
−4.08066 + 1.91553I 0
u = −1.132710 − 0.432211I
a = −0.425026 + 0.222004I
b = −0.571757 + 0.793007I
−4.08066 − 1.91553I 0
u = 1.127290 + 0.449606I
a = −2.29662 + 1.17707I
b = −0.375417 − 0.888596I
−3.98556 − 5.91625I 0
u = 1.127290 − 0.449606I
a = −2.29662 − 1.17707I
b = −0.375417 + 0.888596I
−3.98556 + 5.91625I 0
u = 1.195800 + 0.216834I
a = 0.367574 + 0.639383I
b = 0.461498 − 0.804631I
−5.60516 + 3.26989I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.195800 − 0.216834I
a = 0.367574 − 0.639383I
b = 0.461498 + 0.804631I
−5.60516 − 3.26989I 0
u = 0.802928 + 0.913116I
a = 0.57944 − 1.47675I
b = 0.205000 + 1.376830I
3.98256 − 3.34707I 0
u = 0.802928 − 0.913116I
a = 0.57944 + 1.47675I
b = 0.205000 − 1.376830I
3.98256 + 3.34707I 0
u = 1.114550 + 0.496877I
a = −0.081801 − 0.999291I
b = 0.776697 − 0.101325I
−1.35981 − 6.50933I 0
u = 1.114550 − 0.496877I
a = −0.081801 + 0.999291I
b = 0.776697 + 0.101325I
−1.35981 + 6.50933I 0
u = −0.737524 + 0.248902I
a = 0.392874 + 0.215227I
b = 0.751175 − 0.294294I
−1.57694 + 0.35222I 0
u = −0.737524 − 0.248902I
a = 0.392874 − 0.215227I
b = 0.751175 + 0.294294I
−1.57694 − 0.35222I 0
u = −0.222104 + 0.742979I
a = 0.51526 − 2.39158I
b = 0.329587 + 1.286650I
4.10383 − 5.66169I 0
u = −0.222104 − 0.742979I
a = 0.51526 + 2.39158I
b = 0.329587 − 1.286650I
4.10383 + 5.66169I 0
u = −0.323824 + 0.697430I
a = −0.39163 + 2.59098I
b = −0.470617 − 1.168510I
4.13041 − 6.46057I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.323824 − 0.697430I
a = −0.39163 − 2.59098I
b = −0.470617 + 1.168510I
4.13041 + 6.46057I 0
u = 1.102110 + 0.553096I
a = −1.40166 + 0.77728I
b = 0.12059 − 1.52990I
3.09215 − 9.04075I 0
u = 1.102110 − 0.553096I
a = −1.40166 − 0.77728I
b = 0.12059 + 1.52990I
3.09215 + 9.04075I 0
u = 1.198800 + 0.299443I
a = 1.121620 − 0.502016I
b = 1.042960 + 0.314526I
−5.44766 + 5.63504I 0
u = 1.198800 − 0.299443I
a = 1.121620 + 0.502016I
b = 1.042960 − 0.314526I
−5.44766 − 5.63504I 0
u = −1.133980 + 0.491441I
a = −2.08481 − 1.47147I
b = −0.68646 + 1.41039I
−1.24811 + 10.61340I 0
u = −1.133980 − 0.491441I
a = −2.08481 + 1.47147I
b = −0.68646 − 1.41039I
−1.24811 − 10.61340I 0
u = −1.116770 + 0.538746I
a = 2.03504 + 1.93835I
b = 0.499272 − 1.193270I
1.81529 + 11.21060I 0
u = −1.116770 − 0.538746I
a = 2.03504 − 1.93835I
b = 0.499272 + 1.193270I
1.81529 − 11.21060I 0
u = −1.172470 + 0.416602I
a = −0.173424 − 0.491972I
b = −0.766162 − 0.434850I
−4.65714 + 1.52614I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.172470 − 0.416602I
a = −0.173424 + 0.491972I
b = −0.766162 + 0.434850I
−4.65714 − 1.52614I 0
u = −1.184240 + 0.416265I
a = −0.37553 + 1.37125I
b = 0.169580 + 0.841280I
−4.10518 − 1.37085I 0
u = −1.184240 − 0.416265I
a = −0.37553 − 1.37125I
b = 0.169580 − 0.841280I
−4.10518 + 1.37085I 0
u = 0.072417 + 0.733451I
a = −0.210381 + 0.686533I
b = 0.671296 − 0.535595I
−1.10366 + 2.46800I −4.00000 − 5.47297I
u = 0.072417 − 0.733451I
a = −0.210381 − 0.686533I
b = 0.671296 + 0.535595I
−1.10366 − 2.46800I −4.00000 + 5.47297I
u = −1.186700 + 0.435786I
a = −0.423915 − 0.689789I
b = −0.521557 − 0.765967I
−4.30040 + 2.11581I 0
u = −1.186700 − 0.435786I
a = −0.423915 + 0.689789I
b = −0.521557 + 0.765967I
−4.30040 − 2.11581I 0
u = 0.071889 + 0.731792I
a = −0.338728 + 0.484995I
b = −0.243358 + 0.888891I
−0.51279 + 5.40936I 0. − 9.29687I
u = 0.071889 − 0.731792I
a = −0.338728 − 0.484995I
b = −0.243358 − 0.888891I
−0.51279 − 5.40936I 0. + 9.29687I
u = 1.173830 + 0.470685I
a = −0.927298 + 0.817013I
b = −0.766926 − 0.606520I
−4.27472 − 6.89146I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.173830 − 0.470685I
a = −0.927298 − 0.817013I
b = −0.766926 + 0.606520I
−4.27472 + 6.89146I 0
u = 1.175690 + 0.468912I
a = −1.61937 + 0.43730I
b = −0.526444 − 0.794436I
−4.05946 − 6.38399I 0
u = 1.175690 − 0.468912I
a = −1.61937 − 0.43730I
b = −0.526444 + 0.794436I
−4.05946 + 6.38399I 0
u = −1.137580 + 0.559245I
a = −0.061670 − 1.049350I
b = −1.262850 − 0.426638I
−4.93188 + 5.70545I 0
u = −1.137580 − 0.559245I
a = −0.061670 + 1.049350I
b = −1.262850 + 0.426638I
−4.93188 − 5.70545I 0
u = −1.154410 + 0.525262I
a = −1.94106 − 1.58632I
b = −0.355472 + 1.325150I
1.38902 + 10.43390I 0
u = −1.154410 − 0.525262I
a = −1.94106 + 1.58632I
b = −0.355472 − 1.325150I
1.38902 − 10.43390I 0
u = 1.174610 + 0.479406I
a = 1.31536 + 0.76129I
b = 0.281124 + 0.824571I
−3.65691 − 9.86910I 0
u = 1.174610 − 0.479406I
a = 1.31536 − 0.76129I
b = 0.281124 − 0.824571I
−3.65691 + 9.86910I 0
u = −1.223090 + 0.338813I
a = 0.586120 + 0.104216I
b = 0.440885 − 0.678091I
−5.98974 + 0.55484I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.223090 − 0.338813I
a = 0.586120 − 0.104216I
b = 0.440885 + 0.678091I
−5.98974 − 0.55484I 0
u = −0.607134 + 0.396852I
a = 0.04771 + 2.95080I
b = 0.43987 − 1.38765I
2.57464 + 6.02790I 0. − 10.82497I
u = −0.607134 − 0.396852I
a = 0.04771 − 2.95080I
b = 0.43987 + 1.38765I
2.57464 − 6.02790I 0. + 10.82497I
u = −1.253680 + 0.236749I
a = −0.376101 − 0.201834I
b = −0.589920 − 1.176920I
−4.31495 − 3.50502I 0
u = −1.253680 − 0.236749I
a = −0.376101 + 0.201834I
b = −0.589920 + 1.176920I
−4.31495 + 3.50502I 0
u = −1.257190 + 0.277300I
a = 0.459746 + 0.090302I
b = 0.618097 + 1.238700I
−2.51639 − 11.58610I 0
u = −1.257190 − 0.277300I
a = 0.459746 − 0.090302I
b = 0.618097 − 1.238700I
−2.51639 + 11.58610I 0
u = −1.168560 + 0.549871I
a = 0.122598 + 1.140220I
b = 1.179450 + 0.277101I
−3.7206 + 14.1595I 0
u = −1.168560 − 0.549871I
a = 0.122598 − 1.140220I
b = 1.179450 − 0.277101I
−3.7206 − 14.1595I 0
u = 0.054379 + 0.705314I
a = 0.617176 + 0.727473I
b = 0.483198 − 0.764978I
−0.87341 + 2.01981I −5.14293 − 3.35958I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.054379 − 0.705314I
a = 0.617176 − 0.727473I
b = 0.483198 + 0.764978I
−0.87341 − 2.01981I −5.14293 + 3.35958I
u = 1.187680 + 0.528833I
a = −0.369081 − 0.225916I
b = 0.394017 − 0.498012I
−4.66781 − 8.27032I 0
u = 1.187680 − 0.528833I
a = −0.369081 + 0.225916I
b = 0.394017 + 0.498012I
−4.66781 + 8.27032I 0
u = −1.163460 + 0.583791I
a = 1.35129 + 1.60341I
b = 0.397483 − 1.006660I
−3.14433 + 11.73400I 0
u = −1.163460 − 0.583791I
a = 1.35129 − 1.60341I
b = 0.397483 + 1.006660I
−3.14433 − 11.73400I 0
u = 1.189800 + 0.571082I
a = 1.89975 − 1.39573I
b = 0.65426 + 1.29821I
−0.4611 − 20.6157I 0
u = 1.189800 − 0.571082I
a = 1.89975 + 1.39573I
b = 0.65426 − 1.29821I
−0.4611 + 20.6157I 0
u = 1.185350 + 0.583791I
a = −1.74367 + 1.28974I
b = −0.67410 − 1.28761I
−1.93705 − 12.46360I 0
u = 1.185350 − 0.583791I
a = −1.74367 − 1.28974I
b = −0.67410 + 1.28761I
−1.93705 + 12.46360I 0
u = 0.662828 + 0.129930I
a = 0.86476 − 1.40046I
b = −0.446552 − 0.808407I
3.00119 − 2.10517I 0.14722 + 1.76350I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.662828 − 0.129930I
a = 0.86476 + 1.40046I
b = −0.446552 + 0.808407I
3.00119 + 2.10517I 0.14722 − 1.76350I
u = 1.248840 + 0.455509I
a = −0.0655681 − 0.1038220I
b = −0.132246 + 0.834563I
−1.71949 − 4.07049I 0
u = 1.248840 − 0.455509I
a = −0.0655681 + 0.1038220I
b = −0.132246 − 0.834563I
−1.71949 + 4.07049I 0
u = 0.246091 + 0.620256I
a = 0.773027 − 0.155433I
b = −0.661265 − 0.106458I
1.10260 + 2.13635I 0.17574 − 3.94064I
u = 0.246091 − 0.620256I
a = 0.773027 + 0.155433I
b = −0.661265 + 0.106458I
1.10260 − 2.13635I 0.17574 + 3.94064I
u = −0.043326 + 0.655594I
a = 1.169300 + 0.550350I
b = 0.461845 − 0.689797I
−0.95088 + 2.02575I −5.13657 − 4.39126I
u = −0.043326 − 0.655594I
a = 1.169300 − 0.550350I
b = 0.461845 + 0.689797I
−0.95088 − 2.02575I −5.13657 + 4.39126I
u = −0.445166 + 0.475804I
a = −0.33294 − 2.99324I
b = −0.491504 + 1.141000I
4.16260 + 1.71506I 3.72243 + 0.09200I
u = −0.445166 − 0.475804I
a = −0.33294 + 2.99324I
b = −0.491504 − 1.141000I
4.16260 − 1.71506I 3.72243 − 0.09200I
u = −1.234230 + 0.548529I
a = −1.38563 − 0.91989I
b = −0.206830 + 0.984167I
−1.05654 + 5.72493I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.234230 − 0.548529I
a = −1.38563 + 0.91989I
b = −0.206830 − 0.984167I
−1.05654 − 5.72493I 0
u = −0.164791 + 0.627268I
a = 0.38992 − 2.13028I
b = 0.62895 + 1.35708I
1.44620 − 6.26487I −5.34247 + 8.47027I
u = −0.164791 − 0.627268I
a = 0.38992 + 2.13028I
b = 0.62895 − 1.35708I
1.44620 + 6.26487I −5.34247 − 8.47027I
u = −0.485819 + 0.382380I
a = −0.75206 − 1.50650I
b = −0.427723 − 0.412375I
−0.47366 + 2.62000I −4.00000 − 3.89706I
u = −0.485819 − 0.382380I
a = −0.75206 + 1.50650I
b = −0.427723 + 0.412375I
−0.47366 − 2.62000I −4.00000 + 3.89706I
u = −1.369000 + 0.264323I
a = −0.657816 − 0.231476I
b = −0.335666 + 1.091160I
−2.35034 + 7.04297I 0
u = −1.369000 − 0.264323I
a = −0.657816 + 0.231476I
b = −0.335666 − 1.091160I
−2.35034 − 7.04297I 0
u = −0.260506 + 0.514839I
a = −1.38485 + 1.71261I
b = −0.622023 − 1.037490I
3.80166 − 2.34195I 3.05678 + 1.85897I
u = −0.260506 − 0.514839I
a = −1.38485 − 1.71261I
b = −0.622023 + 1.037490I
3.80166 + 2.34195I 3.05678 − 1.85897I
u = −0.134040 + 0.483396I
a = −0.506129 + 0.319299I
b = 1.240310 + 0.167330I
−2.46756 − 0.23213I −7.92891 − 5.47646I
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.134040 − 0.483396I
a = −0.506129 − 0.319299I
b = 1.240310 − 0.167330I
−2.46756 + 0.23213I −7.92891 + 5.47646I
u = 0.488262 + 0.032647I
a = 1.85075 − 6.44674I
b = −0.015614 + 0.788291I
−1.06810 − 2.66800I 0.74659 + 4.59920I
u = 0.488262 − 0.032647I
a = 1.85075 + 6.44674I
b = −0.015614 − 0.788291I
−1.06810 + 2.66800I 0.74659 − 4.59920I
u = −0.165725 + 0.446697I
a = −3.52502 − 1.54399I
b = −0.289256 + 0.735153I
−0.84212 − 2.87138I −2.49784 + 0.59531I
u = −0.165725 − 0.446697I
a = −3.52502 + 1.54399I
b = −0.289256 − 0.735153I
−0.84212 + 2.87138I −2.49784 − 0.59531I
u = 0.447544
a = −1.81798
b = 1.36476
−2.63096 7.77480
22
II. I
u
2
= h−1320u
38
+ 288u
37
+ · · · + 79b − 520, −1681u
38
+ 1253u
37
+ · · · +
79a − 2010, u
39
− 11u
37
+ · · · − 7u
2
+ 1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
8
=
1
u
2
a
3
=
−u
−u
3
+ u
a
1
=
u
3
u
5
− u
3
+ u
a
9
=
u
6
− u
4
+ 1
u
8
− 2u
6
+ 2u
4
a
11
=
21.2785u
38
− 15.8608u
37
+ ··· − 18.1139u + 25.4430
16.7089u
38
− 3.64557u
37
+ ··· − 35.8354u + 6.58228
a
6
=
−29.9494u
38
+ 4.02532u
37
+ ··· + 42.7975u − 13.1013
−19.9620u
38
− 0.481013u
37
+ ··· + 42.8481u − 1.07595
a
4
=
48.1392u
38
− 46.4304u
37
+ ··· − 105.557u + 72.7215
−11.9241u
38
− 15.9620u
37
+ ··· + 18.6962u + 28.8481
a
12
=
44.2532u
38
− 26.8734u
37
+ ··· − 88.0127u + 39.4937
1.24051u
38
− 13.3797u
37
+ ··· − 18.9620u + 14.5190
a
5
=
−33.9494u
38
+ 4.02532u
37
+ ··· + 56.7975u − 14.1013
−19.9620u
38
− 0.481013u
37
+ ··· + 43.8481u − 1.07595
a
10
=
37.9873u
38
− 19.5063u
37
+ ··· − 53.9494u + 32.0253
16.7089u
38
− 3.64557u
37
+ ··· − 35.8354u + 6.58228
(ii) Obstruction class = 1
(iii) Cusp Shapes = −
201
79
u
38
+
5785
79
u
37
+ ··· +
5860
79
u −
13739
79
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
39
− 22u
38
+ ··· + 14u − 1
c
2
u
39
− 11u
37
+ ··· + 7u
2
− 1
c
3
u
39
+ 14u
38
+ ··· + 27u + 1
c
4
u
39
− 5u
37
+ ··· − u − 1
c
5
u
39
+ u
38
+ ··· − 3u − 1
c
6
u
39
+ u
38
+ ··· − u − 1
c
7
u
39
− 11u
37
+ ··· − 7u
2
+ 1
c
8
u
39
+ 3u
38
+ ··· − 16u
2
+ 1
c
9
u
39
− 4u
38
+ ··· + 4u
3
− 1
c
10
u
39
− u
38
+ ··· − u + 1
c
11
u
39
− 4u
38
+ ··· − 2u + 1
c
12
u
39
+ u
38
+ ··· − 5u − 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
39
+ 2y
38
+ ··· + 18y −1
c
2
, c
7
y
39
− 22y
38
+ ··· + 14y −1
c
3
y
39
+ 6y
38
+ ··· + 93y −1
c
4
y
39
− 10y
38
+ ··· + 29y −1
c
5
y
39
− 25y
38
+ ··· − 13y −1
c
6
, c
10
y
39
+ 17y
38
+ ··· − 35y −1
c
8
y
39
+ 3y
38
+ ··· + 32y −1
c
9
y
39
− 10y
38
+ ··· − 16y
2
− 1
c
11
y
39
− 12y
37
+ ··· + 26y −1
c
12
y
39
− 7y
38
+ ··· − 5y −1
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.751125 + 0.607987I
a = 0.93272 + 2.43950I
b = 0.408681 − 1.181550I
4.39114 + 3.73658I 0.21770 − 4.07359I
u = −0.751125 − 0.607987I
a = 0.93272 − 2.43950I
b = 0.408681 + 1.181550I
4.39114 − 3.73658I 0.21770 + 4.07359I
u = 0.880555 + 0.388580I
a = 0.122964 + 0.417898I
b = −0.382591 − 0.845691I
2.78752 − 3.64576I 3.20370 + 7.20127I
u = 0.880555 − 0.388580I
a = 0.122964 − 0.417898I
b = −0.382591 + 0.845691I
2.78752 + 3.64576I 3.20370 − 7.20127I
u = 0.767352 + 0.722116I
a = −0.61893 + 1.57826I
b = −0.008292 − 0.774485I
1.52806 − 2.74415I −10.11225 + 3.83327I
u = 0.767352 − 0.722116I
a = −0.61893 − 1.57826I
b = −0.008292 + 0.774485I
1.52806 + 2.74415I −10.11225 − 3.83327I
u = −0.924131 + 0.551954I
a = 1.28519 + 1.73496I
b = −0.308154 − 1.075690I
3.83478 + 0.81357I 0. − 4.61744I
u = −0.924131 − 0.551954I
a = 1.28519 − 1.73496I
b = −0.308154 + 1.075690I
3.83478 − 0.81357I 0. + 4.61744I
u = 0.848149 + 0.356879I
a = −0.395713 − 1.187420I
b = 0.551676 − 0.855429I
2.93312 + 0.48296I 1.31431 + 0.60010I
u = 0.848149 − 0.356879I
a = −0.395713 + 1.187420I
b = 0.551676 + 0.855429I
2.93312 − 0.48296I 1.31431 − 0.60010I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.106370 + 0.371548I
a = 0.050839 − 0.396682I
b = −0.500980 + 1.273570I
−0.75944 + 3.04264I −6.18806 − 4.42670I
u = 1.106370 − 0.371548I
a = 0.050839 + 0.396682I
b = −0.500980 − 1.273570I
−0.75944 − 3.04264I −6.18806 + 4.42670I
u = −1.152490 + 0.293263I
a = −1.037930 + 0.670378I
b = −0.155139 − 0.699297I
−3.62854 + 4.09440I −4.00000 − 4.55067I
u = −1.152490 − 0.293263I
a = −1.037930 − 0.670378I
b = −0.155139 + 0.699297I
−3.62854 − 4.09440I −4.00000 + 4.55067I
u = −1.121680 + 0.398535I
a = −0.700227 − 1.195450I
b = −1.240270 + 0.013959I
−5.46699 + 2.61946I −10.15713 + 1.18434I
u = −1.121680 − 0.398535I
a = −0.700227 + 1.195450I
b = −1.240270 − 0.013959I
−5.46699 − 2.61946I −10.15713 − 1.18434I
u = −0.759695 + 0.935359I
a = 0.48922 + 1.49465I
b = 0.184594 − 1.328340I
4.07674 + 3.38226I 31.0257 − 26.4605I
u = −0.759695 − 0.935359I
a = 0.48922 − 1.49465I
b = 0.184594 + 1.328340I
4.07674 − 3.38226I 31.0257 + 26.4605I
u = −1.161500 + 0.387209I
a = 0.497226 + 1.105290I
b = −0.001749 + 0.571107I
−4.61087 − 0.63016I −9.33297 + 0.I
u = −1.161500 − 0.387209I
a = 0.497226 − 1.105290I
b = −0.001749 − 0.571107I
−4.61087 + 0.63016I −9.33297 + 0.I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.177518 + 0.735256I
a = −1.133720 − 0.206021I
b = −0.038828 + 0.612662I
−0.85269 + 4.26324I −1.90292 − 5.06768I
u = 0.177518 − 0.735256I
a = −1.133720 + 0.206021I
b = −0.038828 − 0.612662I
−0.85269 − 4.26324I −1.90292 + 5.06768I
u = −1.129770 + 0.527026I
a = −1.82527 − 1.68003I
b = −0.437966 + 1.329980I
0.39829 + 10.67690I 0. − 10.13842I
u = −1.129770 − 0.527026I
a = −1.82527 + 1.68003I
b = −0.437966 − 1.329980I
0.39829 − 10.67690I 0. + 10.13842I
u = 1.136250 + 0.516889I
a = −0.384631 + 1.159830I
b = −1.218770 + 0.106054I
−4.59494 − 5.14380I 0. + 3.50636I
u = 1.136250 − 0.516889I
a = −0.384631 − 1.159830I
b = −1.218770 − 0.106054I
−4.59494 + 5.14380I 0. − 3.50636I
u = −0.299038 + 0.682499I
a = 0.06014 − 2.42466I
b = 0.416936 + 1.286680I
2.83471 − 5.99783I −0.96448 + 6.23796I
u = −0.299038 − 0.682499I
a = 0.06014 + 2.42466I
b = 0.416936 − 1.286680I
2.83471 + 5.99783I −0.96448 − 6.23796I
u = −0.741193 + 0.046981I
a = 2.13302 − 3.63413I
b = 0.092856 − 0.615234I
−1.58113 − 2.48581I −14.05725 + 0.17718I
u = −0.741193 − 0.046981I
a = 2.13302 + 3.63413I
b = 0.092856 + 0.615234I
−1.58113 + 2.48581I −14.05725 − 0.17718I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.168480 + 0.507594I
a = 1.346740 + 0.328331I
b = 0.062706 + 0.577661I
−3.74004 − 8.94101I 0. + 6.74372I
u = 1.168480 − 0.507594I
a = 1.346740 − 0.328331I
b = 0.062706 − 0.577661I
−3.74004 + 8.94101I 0. − 6.74372I
u = 0.712733 + 0.070680I
a = 1.73066 − 0.76241I
b = 0.494983 + 1.172290I
1.37314 − 5.29110I −1.93175 + 7.76427I
u = 0.712733 − 0.070680I
a = 1.73066 + 0.76241I
b = 0.494983 − 1.172290I
1.37314 + 5.29110I −1.93175 − 7.76427I
u = 0.283155 + 0.628424I
a = −0.530896 − 0.144135I
b = 1.294700 + 0.066786I
−2.11038 + 0.58155I 5.84509 − 2.65015I
u = 0.283155 − 0.628424I
a = −0.530896 + 0.144135I
b = 1.294700 − 0.066786I
−2.11038 − 0.58155I 5.84509 + 2.65015I
u = 1.266810 + 0.360293I
a = −0.985245 + 0.231821I
b = −0.351161 − 1.037820I
−1.96137 − 6.65000I 0
u = 1.266810 − 0.360293I
a = −0.985245 − 0.231821I
b = −0.351161 + 1.037820I
−1.96137 + 6.65000I 0
u = −0.613533
a = −1.07233
b = 1.27353
−2.86170 −27.3290
31
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
39
− 22u
38
+ ··· + 14u − 1)(u
176
+ 91u
175
+ ··· + 15u + 1)
c
2
(u
39
− 11u
37
+ ··· + 7u
2
− 1)(u
176
− u
175
+ ··· + u − 1)
c
3
(u
39
+ 14u
38
+ ··· + 27u + 1)
· (u
176
− 7u
175
+ ··· − 6680352u − 155647)
c
4
(u
39
− 5u
37
+ ··· − u − 1)(u
176
+ u
175
+ ··· − 2208u + 2592)
c
5
(u
39
+ u
38
+ ··· − 3u − 1)(u
176
+ 4u
175
+ ··· − 28u + 1)
c
6
(u
39
+ u
38
+ ··· − u − 1)(u
176
+ 48u
174
+ ··· + 26878u + 31907)
c
7
(u
39
− 11u
37
+ ··· − 7u
2
+ 1)(u
176
− u
175
+ ··· + u − 1)
c
8
(u
39
+ 3u
38
+ ··· − 16u
2
+ 1)
· (u
176
− 6u
175
+ ··· + 22634157u − 2052171)
c
9
(u
39
− 4u
38
+ ··· + 4u
3
− 1)(u
176
− 15u
175
+ ··· + 55u − 1)
c
10
(u
39
− u
38
+ ··· − u + 1)(u
176
+ 48u
174
+ ··· + 26878u + 31907)
c
11
(u
39
− 4u
38
+ ··· − 2u + 1)(u
176
+ 3u
175
+ ··· − 39223u + 39029)
c
12
(u
39
+ u
38
+ ··· − 5u − 1)(u
176
+ 2u
175
+ ··· + 58430u − 7292)
32
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
39
+ 2y
38
+ ··· + 18y −1)(y
176
+ y
175
+ ··· − 87y + 1)
c
2
, c
7
(y
39
− 22y
38
+ ··· + 14y −1)(y
176
− 91y
175
+ ··· − 15y + 1)
c
3
(y
39
+ 6y
38
+ ··· + 93y −1)
· (y
176
− 23y
175
+ ··· − 30510996087262y + 24225988609)
c
4
(y
39
− 10y
38
+ ··· + 29y −1)
· (y
176
+ y
175
+ ··· + 583363584y + 6718464)
c
5
(y
39
− 25y
38
+ ··· − 13y −1)(y
176
− 26y
175
+ ··· + 92y + 1)
c
6
, c
10
(y
39
+ 17y
38
+ ··· − 35y −1)
· (y
176
+ 96y
175
+ ··· + 33870568190y + 1018056649)
c
8
(y
39
+ 3y
38
+ ··· + 32y −1)
· (y
176
+ 74y
175
+ ··· − 184259306568177y + 4211405813241)
c
9
(y
39
− 10y
38
+ ··· − 16y
2
− 1)(y
176
+ 9y
175
+ ··· − 417y + 1)
c
11
(y
39
− 12y
37
+ ··· + 26y −1)
· (y
176
− 41y
175
+ ··· − 26665548103y + 1523262841)
c
12
(y
39
− 7y
38
+ ··· − 5y −1)
· (y
176
− 32y
175
+ ··· − 4059654828y + 53173264)
33
