12a
0620
(K12a
0620
)
A knot diagram
1
Linearized knot diagam
3 7 10 8 9 2 11 12 6 1 5 4
Solving Sequence
2,7 3,10
4 1 11 6 9 5 12 8
c
2
c
3
c
1
c
10
c
6
c
9
c
5
c
12
c
8
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−2.08101 × 10
510
u
166
− 1.11697 × 10
510
u
165
+ ··· + 2.56234 × 10
507
b − 1.20192 × 10
512
,
− 6.65713 × 10
511
u
166
− 3.56687 × 10
511
u
165
+ ··· + 7.94327 × 10
508
a − 3.84871 × 10
513
,
u
167
− 37u
165
+ ··· + 29u − 31i
I
u
2
= h1594092397u
32
+ 83351656u
31
+ ··· + 135513403b + 2264420315,
1580036566u
32
+ 229087797u
31
+ ··· + 135513403a + 1642262255, u
33
− u
32
+ ··· + 4u − 1i
* 2 irreducible components of dim
C
= 0, with total 200 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−2.08 × 10
510
u
166
− 1.12 × 10
510
u
165
+ · · · + 2.56 × 10
507
b − 1.20 ×
10
512
, −6.66 × 10
511
u
166
− 3.57 × 10
511
u
165
+ · · · + 7.94 × 10
508
a − 3.85 ×
10
513
, u
167
− 37u
165
+ · · · + 29u − 31i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
10
=
838.084u
166
+ 449.043u
165
+ ··· + 44952.3u + 48452.5
812.152u
166
+ 435.919u
165
+ ··· + 43482.7u + 46907.0
a
4
=
−238.456u
166
− 127.353u
165
+ ··· − 13117.7u − 13893.0
−623.598u
166
− 334.543u
165
+ ··· − 33581.9u − 36074.6
a
1
=
−u
2
+ 1
−u
4
a
11
=
377.436u
166
+ 201.932u
165
+ ··· + 20262.8u + 21837.5
865.582u
166
+ 464.572u
165
+ ··· + 46356.2u + 49996.8
a
6
=
u
u
a
9
=
831.803u
166
+ 446.225u
165
+ ··· + 44529.0u + 48045.6
805.870u
166
+ 433.100u
165
+ ··· + 43059.4u + 46500.2
a
5
=
308.322u
166
+ 164.498u
165
+ ··· + 16672.3u + 17886.8
291.773u
166
+ 156.972u
165
+ ··· + 15574.2u + 16842.4
a
12
=
616.362u
166
+ 331.540u
165
+ ··· + 32808.7u + 35502.4
1106.39u
166
+ 593.646u
165
+ ··· + 59276.4u + 63912.1
a
8
=
−189.071u
166
− 99.8465u
165
+ ··· − 10407.2u − 11055.9
−133.267u
166
− 70.7867u
165
+ ··· − 7253.57u − 7765.33
(ii) Obstruction class = −1
(iii) Cusp Shapes = −1360.90u
166
− 729.931u
165
+ ··· − 72748.9u − 78562.5
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
167
+ 74u
166
+ ··· + 31221u + 961
c
2
, c
6
u
167
− 37u
165
+ ··· + 29u − 31
c
3
u
167
− 14u
165
+ ··· + 135699u + 7999
c
4
u
167
+ 2u
166
+ ··· − 13u − 1
c
5
, c
9
u
167
+ 4u
166
+ ··· − 100431668u − 12620969
c
7
u
167
− 4u
166
+ ··· − 42690283337u − 34553045579
c
8
u
167
+ 3u
166
+ ··· + 2613531u + 97585
c
10
u
167
+ 12u
166
+ ··· + 35u − 1
c
11
u
167
+ 5u
166
+ ··· − 119637u + 24543
c
12
u
167
+ 12u
166
+ ··· + 526426257314u + 56057085917
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
167
+ 30y
166
+ ··· − 77198199y −923521
c
2
, c
6
y
167
− 74y
166
+ ··· + 31221y −961
c
3
y
167
− 28y
166
+ ··· + 27826081971y −63984001
c
4
y
167
+ 64y
166
+ ··· − 11y −1
c
5
, c
9
y
167
− 102y
166
+ ··· + 847414145497076y −159288858498961
c
7
y
167
− 80y
166
+ ··· + 8.05 × 10
22
y −1.19 × 10
21
c
8
y
167
+ 49y
166
+ ··· − 1685246559y −9522832225
c
10
y
167
− 58y
166
+ ··· + 67y −1
c
11
y
167
− 41y
166
+ ··· + 36907101225y −602358849
c
12
y
167
+ 76y
166
+ ··· − 1.98 × 10
23
y −3.14 × 10
21
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.408975 + 0.915806I
a = 1.14813 + 1.07154I
b = 1.056770 − 0.592885I
−4.85860 − 6.29115I 0
u = −0.408975 − 0.915806I
a = 1.14813 − 1.07154I
b = 1.056770 + 0.592885I
−4.85860 + 6.29115I 0
u = 0.992444 + 0.165700I
a = −1.04664 + 1.19512I
b = −0.702766 + 0.724377I
−4.74546 + 1.25465I 0
u = 0.992444 − 0.165700I
a = −1.04664 − 1.19512I
b = −0.702766 − 0.724377I
−4.74546 − 1.25465I 0
u = 0.749312 + 0.643529I
a = 0.598920 − 1.030590I
b = 1.142340 − 0.634546I
2.27307 − 2.26166I 0
u = 0.749312 − 0.643529I
a = 0.598920 + 1.030590I
b = 1.142340 + 0.634546I
2.27307 + 2.26166I 0
u = 0.619664 + 0.809985I
a = −1.79866 + 0.24946I
b = −1.21545 − 0.83450I
−0.97974 + 4.90783I 0
u = 0.619664 − 0.809985I
a = −1.79866 − 0.24946I
b = −1.21545 + 0.83450I
−0.97974 − 4.90783I 0
u = −0.215636 + 0.955936I
a = −0.462979 − 1.195860I
b = −0.459418 + 0.084270I
0.10022 − 6.05933I 0
u = −0.215636 − 0.955936I
a = −0.462979 + 1.195860I
b = −0.459418 − 0.084270I
0.10022 + 6.05933I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.556073 + 0.796049I
a = 1.19285 + 0.81528I
b = 0.701546 − 0.348352I
−0.92725 − 1.10901I 0
u = −0.556073 − 0.796049I
a = 1.19285 − 0.81528I
b = 0.701546 + 0.348352I
−0.92725 + 1.10901I 0
u = 0.404589 + 0.947213I
a = 1.15466 − 0.99311I
b = 1.024780 + 0.535124I
−5.1206 + 15.0097I 0
u = 0.404589 − 0.947213I
a = 1.15466 + 0.99311I
b = 1.024780 − 0.535124I
−5.1206 − 15.0097I 0
u = 0.860711 + 0.440907I
a = −3.18176 + 2.75428I
b = −3.56155 − 0.47510I
−3.47103 − 1.84047I 0
u = 0.860711 − 0.440907I
a = −3.18176 − 2.75428I
b = −3.56155 + 0.47510I
−3.47103 + 1.84047I 0
u = −0.442760 + 0.857409I
a = 0.296060 − 0.978793I
b = −0.425478 − 0.455941I
0.30104 + 5.37087I 0
u = −0.442760 − 0.857409I
a = 0.296060 + 0.978793I
b = −0.425478 + 0.455941I
0.30104 − 5.37087I 0
u = 0.946569 + 0.426333I
a = −0.69093 + 1.64490I
b = −2.11899 + 1.73351I
−3.90035 − 1.31681I 0
u = 0.946569 − 0.426333I
a = −0.69093 − 1.64490I
b = −2.11899 − 1.73351I
−3.90035 + 1.31681I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.864166 + 0.406390I
a = 2.81837 + 2.98326I
b = 3.58600 − 0.33116I
−3.54493 + 1.73658I 0
u = −0.864166 − 0.406390I
a = 2.81837 − 2.98326I
b = 3.58600 + 0.33116I
−3.54493 − 1.73658I 0
u = −0.697874 + 0.648649I
a = −0.650486 + 0.406485I
b = 0.068524 + 1.225080I
−1.67902 + 3.41376I 0
u = −0.697874 − 0.648649I
a = −0.650486 − 0.406485I
b = 0.068524 − 1.225080I
−1.67902 − 3.41376I 0
u = −0.498692 + 0.804668I
a = 0.542602 + 1.108590I
b = 1.51627 + 0.09936I
0.59250 − 8.86800I 0
u = −0.498692 − 0.804668I
a = 0.542602 − 1.108590I
b = 1.51627 − 0.09936I
0.59250 + 8.86800I 0
u = 0.454082 + 0.829965I
a = −0.055302 + 0.654540I
b = −0.739473 + 0.422648I
3.52312 + 2.60647I 0
u = 0.454082 − 0.829965I
a = −0.055302 − 0.654540I
b = −0.739473 − 0.422648I
3.52312 − 2.60647I 0
u = 0.993976 + 0.351859I
a = 0.539564 + 1.197380I
b = 1.72459 + 0.59899I
−7.67265 − 0.06243I 0
u = 0.993976 − 0.351859I
a = 0.539564 − 1.197380I
b = 1.72459 − 0.59899I
−7.67265 + 0.06243I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.526130 + 0.776524I
a = 0.812429 − 0.979816I
b = 1.122510 − 0.055505I
4.04239 + 0.69020I 0
u = 0.526130 − 0.776524I
a = 0.812429 + 0.979816I
b = 1.122510 + 0.055505I
4.04239 − 0.69020I 0
u = −0.689476 + 0.635637I
a = 0.078034 + 0.918970I
b = 1.20343 + 1.01079I
3.22276 + 4.22927I 0
u = −0.689476 − 0.635637I
a = 0.078034 − 0.918970I
b = 1.20343 − 1.01079I
3.22276 − 4.22927I 0
u = 0.884738 + 0.588629I
a = 0.727034 − 1.194640I
b = 1.150710 − 0.616072I
1.87114 − 2.56904I 0
u = 0.884738 − 0.588629I
a = 0.727034 + 1.194640I
b = 1.150710 + 0.616072I
1.87114 + 2.56904I 0
u = 0.855549 + 0.378798I
a = −2.17087 + 1.40237I
b = −1.59827 + 0.10369I
−3.46851 − 1.97554I 0
u = 0.855549 − 0.378798I
a = −2.17087 − 1.40237I
b = −1.59827 − 0.10369I
−3.46851 + 1.97554I 0
u = −0.921820 + 0.137873I
a = 1.56303 + 0.73337I
b = 0.88285 + 1.38800I
−4.60848 − 1.66010I 0
u = −0.921820 − 0.137873I
a = 1.56303 − 0.73337I
b = 0.88285 − 1.38800I
−4.60848 + 1.66010I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.019870 + 0.349817I
a = −0.913366 − 0.898791I
b = −2.17373 − 0.60595I
−7.64882 − 1.90722I 0
u = 1.019870 − 0.349817I
a = −0.913366 + 0.898791I
b = −2.17373 + 0.60595I
−7.64882 + 1.90722I 0
u = 1.080420 + 0.046638I
a = 1.010540 + 0.093882I
b = 0.483342 − 0.605697I
−5.12765 − 7.43489I 0
u = 1.080420 − 0.046638I
a = 1.010540 − 0.093882I
b = 0.483342 + 0.605697I
−5.12765 + 7.43489I 0
u = −0.690578 + 0.594932I
a = −1.097880 − 0.676167I
b = −1.65908 − 0.40868I
2.26327 − 2.32744I 0
u = −0.690578 − 0.594932I
a = −1.097880 + 0.676167I
b = −1.65908 + 0.40868I
2.26327 + 2.32744I 0
u = 0.993007 + 0.447422I
a = 1.44097 − 2.24105I
b = 2.40451 − 2.82117I
−6.97001 + 3.98207I 0
u = 0.993007 − 0.447422I
a = 1.44097 + 2.24105I
b = 2.40451 + 2.82117I
−6.97001 − 3.98207I 0
u = −0.984930 + 0.466803I
a = −1.96925 + 0.44767I
b = −3.19490 + 0.06491I
−6.87021 + 9.78152I 0
u = −0.984930 − 0.466803I
a = −1.96925 − 0.44767I
b = −3.19490 − 0.06491I
−6.87021 − 9.78152I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.864087 + 0.665587I
a = 0.631534 − 0.854030I
b = −0.547121 − 1.086020I
−2.05490 + 1.52171I 0
u = −0.864087 − 0.665587I
a = 0.631534 + 0.854030I
b = −0.547121 + 1.086020I
−2.05490 − 1.52171I 0
u = −0.908803
a = 0.490964
b = −0.282990
−1.39035 0
u = −0.950993 + 0.537454I
a = −0.345636 − 0.754881I
b = −0.399014 + 0.078127I
−2.16732 + 2.92717I 0
u = −0.950993 − 0.537454I
a = −0.345636 + 0.754881I
b = −0.399014 − 0.078127I
−2.16732 − 2.92717I 0
u = 1.010240 + 0.435528I
a = −0.440879 + 0.651048I
b = 0.706780 − 0.042390I
−7.15352 − 4.30270I 0
u = 1.010240 − 0.435528I
a = −0.440879 − 0.651048I
b = 0.706780 + 0.042390I
−7.15352 + 4.30270I 0
u = −0.326578 + 0.834691I
a = −1.28465 − 1.19469I
b = −0.996908 + 0.188717I
−3.75108 − 5.85993I 0
u = −0.326578 − 0.834691I
a = −1.28465 + 1.19469I
b = −0.996908 − 0.188717I
−3.75108 + 5.85993I 0
u = −0.937076 + 0.586361I
a = 1.08822 + 0.94509I
b = 0.926072 − 0.003107I
2.47444 + 0.56441I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.937076 − 0.586361I
a = 1.08822 − 0.94509I
b = 0.926072 + 0.003107I
2.47444 − 0.56441I 0
u = 0.443686 + 1.014900I
a = −0.992790 + 0.515582I
b = −0.720901 − 0.566744I
−3.31534 + 5.30669I 0
u = 0.443686 − 1.014900I
a = −0.992790 − 0.515582I
b = −0.720901 + 0.566744I
−3.31534 − 5.30669I 0
u = −0.954086 + 0.573478I
a = −0.85860 − 1.76014I
b = −1.10567 − 1.15374I
1.44595 + 6.97528I 0
u = −0.954086 − 0.573478I
a = −0.85860 + 1.76014I
b = −1.10567 + 1.15374I
1.44595 − 6.97528I 0
u = −0.996595 + 0.496392I
a = 0.238622 + 0.626270I
b = 1.37233 + 1.26611I
−3.29798 + 4.25223I 0
u = −0.996595 − 0.496392I
a = 0.238622 − 0.626270I
b = 1.37233 − 1.26611I
−3.29798 − 4.25223I 0
u = −1.052830 + 0.370866I
a = 0.780419 − 0.061235I
b = −0.530367 − 0.896203I
−8.83519 − 4.38811I 0
u = −1.052830 − 0.370866I
a = 0.780419 + 0.061235I
b = −0.530367 + 0.896203I
−8.83519 + 4.38811I 0
u = −0.498424 + 0.727320I
a = −0.455437 − 0.357788I
b = −1.058810 − 0.223612I
−0.17876 − 2.65183I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.498424 − 0.727320I
a = −0.455437 + 0.357788I
b = −1.058810 + 0.223612I
−0.17876 + 2.65183I 0
u = −1.038820 + 0.454601I
a = −0.04541 − 2.08421I
b = −1.12500 − 2.23825I
−6.96025 + 2.02094I 0
u = −1.038820 − 0.454601I
a = −0.04541 + 2.08421I
b = −1.12500 + 2.23825I
−6.96025 − 2.02094I 0
u = −1.112170 + 0.256288I
a = −0.305530 − 0.840061I
b = −0.278156 − 0.390042I
−4.14650 − 0.53401I 0
u = −1.112170 − 0.256288I
a = −0.305530 + 0.840061I
b = −0.278156 + 0.390042I
−4.14650 + 0.53401I 0
u = −1.046270 + 0.481659I
a = 1.12218 + 2.03431I
b = 1.98119 + 2.61638I
−6.78869 + 4.65509I 0
u = −1.046270 − 0.481659I
a = 1.12218 − 2.03431I
b = 1.98119 − 2.61638I
−6.78869 − 4.65509I 0
u = −1.033180 + 0.512691I
a = −0.80431 − 2.35521I
b = −1.90997 − 2.62193I
−6.57092 + 6.16455I 0
u = −1.033180 − 0.512691I
a = −0.80431 + 2.35521I
b = −1.90997 + 2.62193I
−6.57092 − 6.16455I 0
u = 1.057810 + 0.484459I
a = 0.07133 − 2.03736I
b = 1.58018 − 2.07223I
−8.08351 − 11.16280I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.057810 − 0.484459I
a = 0.07133 + 2.03736I
b = 1.58018 + 2.07223I
−8.08351 + 11.16280I 0
u = 1.015220 + 0.571823I
a = 1.38513 − 1.49180I
b = 1.93913 − 0.01673I
−1.66163 − 3.31912I 0
u = 1.015220 − 0.571823I
a = 1.38513 + 1.49180I
b = 1.93913 + 0.01673I
−1.66163 + 3.31912I 0
u = 0.083093 + 0.829616I
a = −0.420035 + 0.689123I
b = −0.429961 − 0.766878I
−3.84966 − 1.54095I 0
u = 0.083093 − 0.829616I
a = −0.420035 − 0.689123I
b = −0.429961 + 0.766878I
−3.84966 + 1.54095I 0
u = 1.008370 + 0.600469I
a = −0.821979 − 0.653365I
b = −1.10454 − 0.88946I
−1.85682 − 7.42531I 0
u = 1.008370 − 0.600469I
a = −0.821979 + 0.653365I
b = −1.10454 + 0.88946I
−1.85682 + 7.42531I 0
u = −1.135280 + 0.297755I
a = −0.550177 + 0.162876I
b = 0.628464 + 0.534299I
−7.94902 + 5.15592I 0
u = −1.135280 − 0.297755I
a = −0.550177 − 0.162876I
b = 0.628464 − 0.534299I
−7.94902 − 5.15592I 0
u = 0.538671 + 0.625979I
a = 0.023529 − 1.364500I
b = 1.57099 − 0.52014I
−0.26951 − 1.41374I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.538671 − 0.625979I
a = 0.023529 + 1.364500I
b = 1.57099 + 0.52014I
−0.26951 + 1.41374I 0
u = 0.782567 + 0.248552I
a = 0.333460 − 0.100685I
b = −1.36330 + 0.45607I
−5.96017 + 1.21830I 0
u = 0.782567 − 0.248552I
a = 0.333460 + 0.100685I
b = −1.36330 − 0.45607I
−5.96017 − 1.21830I 0
u = 1.17932
a = −0.595575
b = −1.71227
−6.83476 0
u = −0.721183 + 0.342263I
a = −0.91972 − 2.69204I
b = 0.52109 − 1.63475I
−5.83861 − 6.20961I 0
u = −0.721183 − 0.342263I
a = −0.91972 + 2.69204I
b = 0.52109 + 1.63475I
−5.83861 + 6.20961I 0
u = 1.124900 + 0.450134I
a = −0.28356 + 1.41386I
b = −1.31575 + 1.51150I
−7.03755 − 2.77131I 0
u = 1.124900 − 0.450134I
a = −0.28356 − 1.41386I
b = −1.31575 − 1.51150I
−7.03755 + 2.77131I 0
u = 1.087660 + 0.536958I
a = −1.06400 + 1.10915I
b = −1.219470 + 0.593033I
−2.35375 − 7.84415I 0
u = 1.087660 − 0.536958I
a = −1.06400 − 1.10915I
b = −1.219470 − 0.593033I
−2.35375 + 7.84415I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.027660 + 0.663755I
a = 0.05143 + 2.13219I
b = −0.94394 + 2.51413I
−2.23936 − 10.43540I 0
u = 1.027660 − 0.663755I
a = 0.05143 − 2.13219I
b = −0.94394 − 2.51413I
−2.23936 + 10.43540I 0
u = −1.066020 + 0.603852I
a = −0.636650 − 1.222320I
b = −0.854974 − 0.671533I
−1.87276 + 7.75654I 0
u = −1.066020 − 0.603852I
a = −0.636650 + 1.222320I
b = −0.854974 + 0.671533I
−1.87276 − 7.75654I 0
u = 1.057330 + 0.629023I
a = 0.68599 − 1.45253I
b = 1.49704 − 1.21282I
2.44979 − 5.99665I 0
u = 1.057330 − 0.629023I
a = 0.68599 + 1.45253I
b = 1.49704 + 1.21282I
2.44979 + 5.99665I 0
u = −1.054460 + 0.636999I
a = 0.37052 + 1.40350I
b = 1.42411 + 1.73575I
−2.45314 + 6.49976I 0
u = −1.054460 − 0.636999I
a = 0.37052 − 1.40350I
b = 1.42411 − 1.73575I
−2.45314 − 6.49976I 0
u = 0.542197 + 0.541945I
a = 0.49288 + 1.52236I
b = 0.060478 + 0.675879I
−0.60208 + 2.69511I 0
u = 0.542197 − 0.541945I
a = 0.49288 − 1.52236I
b = 0.060478 − 0.675879I
−0.60208 − 2.69511I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.079820 + 0.633849I
a = 0.97860 + 1.55070I
b = 1.86549 + 0.77851I
−1.1544 + 14.2654I 0
u = −1.079820 − 0.633849I
a = 0.97860 − 1.55070I
b = 1.86549 − 0.77851I
−1.1544 − 14.2654I 0
u = 1.231880 + 0.231892I
a = 0.285157 + 0.688352I
b = 1.312550 + 0.390544I
−8.77110 + 2.63743I 0
u = 1.231880 − 0.231892I
a = 0.285157 − 0.688352I
b = 1.312550 − 0.390544I
−8.77110 − 2.63743I 0
u = 1.101370 + 0.637335I
a = −0.703533 + 0.752259I
b = −1.018600 + 0.291158I
1.59156 − 8.07395I 0
u = 1.101370 − 0.637335I
a = −0.703533 − 0.752259I
b = −1.018600 − 0.291158I
1.59156 + 8.07395I 0
u = 0.471174 + 1.187870I
a = −0.380162 + 0.254735I
b = −0.185522 − 0.633676I
−2.96561 + 1.26870I 0
u = 0.471174 − 1.187870I
a = −0.380162 − 0.254735I
b = −0.185522 + 0.633676I
−2.96561 − 1.26870I 0
u = 0.674457 + 0.224099I
a = 0.17122 + 1.75375I
b = 0.293942 + 0.709304I
−0.49221 + 2.63750I 0
u = 0.674457 − 0.224099I
a = 0.17122 − 1.75375I
b = 0.293942 − 0.709304I
−0.49221 − 2.63750I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.151550 + 0.595217I
a = −0.77638 − 1.71814I
b = −1.76012 − 1.99208I
−6.19938 + 11.16370I 0
u = −1.151550 − 0.595217I
a = −0.77638 + 1.71814I
b = −1.76012 + 1.99208I
−6.19938 − 11.16370I 0
u = 1.295040 + 0.072334I
a = 0.055103 − 0.161996I
b = −1.099380 + 0.220408I
−10.99130 + 3.30054I 0
u = 1.295040 − 0.072334I
a = 0.055103 + 0.161996I
b = −1.099380 − 0.220408I
−10.99130 − 3.30054I 0
u = 0.776009 + 1.043510I
a = 0.420870 + 0.288162I
b = −0.343329 + 0.890466I
−3.06499 − 9.55465I 0
u = 0.776009 − 1.043510I
a = 0.420870 − 0.288162I
b = −0.343329 − 0.890466I
−3.06499 + 9.55465I 0
u = −1.207620 + 0.484415I
a = −0.137913 + 0.150625I
b = −0.471224 + 0.271900I
−2.15259 + 0.22056I 0
u = −1.207620 − 0.484415I
a = −0.137913 − 0.150625I
b = −0.471224 − 0.271900I
−2.15259 − 0.22056I 0
u = 0.273349 + 0.636729I
a = −0.249197 + 0.732579I
b = −0.872089 + 0.568471I
−0.14277 + 3.29139I 0
u = 0.273349 − 0.636729I
a = −0.249197 − 0.732579I
b = −0.872089 − 0.568471I
−0.14277 − 3.29139I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.150220 + 0.645545I
a = 0.52858 + 1.74163I
b = 1.84171 + 1.95589I
−7.11211 + 12.00560I 0
u = −1.150220 − 0.645545I
a = 0.52858 − 1.74163I
b = 1.84171 − 1.95589I
−7.11211 − 12.00560I 0
u = −1.330910 + 0.079776I
a = 0.011750 + 0.297096I
b = −1.083300 − 0.034933I
−11.4055 − 11.7870I 0
u = −1.330910 − 0.079776I
a = 0.011750 − 0.297096I
b = −1.083300 + 0.034933I
−11.4055 + 11.7870I 0
u = 1.165310 + 0.653743I
a = 0.55493 − 1.69650I
b = 1.76407 − 1.93655I
−7.4490 − 20.8414I 0
u = 1.165310 − 0.653743I
a = 0.55493 + 1.69650I
b = 1.76407 + 1.93655I
−7.4490 + 20.8414I 0
u = −0.509818 + 0.422380I
a = 1.47455 + 1.02048I
b = 0.045791 − 0.151797I
−1.93217 − 0.27280I 0
u = −0.509818 − 0.422380I
a = 1.47455 − 1.02048I
b = 0.045791 + 0.151797I
−1.93217 + 0.27280I 0
u = −1.348980 + 0.000882I
a = −0.143470 − 0.242636I
b = 0.854804 − 0.222858I
−10.26910 − 2.13367I 0
u = −1.348980 − 0.000882I
a = −0.143470 + 0.242636I
b = 0.854804 + 0.222858I
−10.26910 + 2.13367I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.601337 + 0.222972I
a = 3.44083 − 0.36880I
b = 1.52689 − 0.33762I
−5.66029 − 7.35743I 0
u = 0.601337 − 0.222972I
a = 3.44083 + 0.36880I
b = 1.52689 + 0.33762I
−5.66029 + 7.35743I 0
u = 1.181010 + 0.678288I
a = −0.31296 + 1.40674I
b = −1.23793 + 1.68482I
−5.63826 − 11.42330I 0
u = 1.181010 − 0.678288I
a = −0.31296 − 1.40674I
b = −1.23793 − 1.68482I
−5.63826 + 11.42330I 0
u = −1.217780 + 0.610571I
a = −0.763415 − 1.054950I
b = −1.74217 − 1.30122I
−2.88136 + 11.70590I 0
u = −1.217780 − 0.610571I
a = −0.763415 + 1.054950I
b = −1.74217 + 1.30122I
−2.88136 − 11.70590I 0
u = −0.436221 + 0.449800I
a = −2.61624 − 1.43896I
b = −1.49122 + 0.12033I
−4.89025 − 2.01449I 0
u = −0.436221 − 0.449800I
a = −2.61624 + 1.43896I
b = −1.49122 − 0.12033I
−4.89025 + 2.01449I 0
u = 1.216660 + 0.645002I
a = −0.290387 + 0.992257I
b = −1.24992 + 1.19744I
−5.78040 − 7.59314I 0
u = 1.216660 − 0.645002I
a = −0.290387 − 0.992257I
b = −1.24992 − 1.19744I
−5.78040 + 7.59314I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.39356
a = −0.154315
b = −0.354561
−2.29063 0
u = −1.210440 + 0.696345I
a = 0.061212 + 0.907463I
b = 0.81285 + 1.40050I
−5.43079 + 5.94797I 0
u = −1.210440 − 0.696345I
a = 0.061212 − 0.907463I
b = 0.81285 − 1.40050I
−5.43079 − 5.94797I 0
u = 0.536495 + 0.000198I
a = 0.28371 − 1.57844I
b = −0.40679 − 1.53085I
0.40019 − 3.39815I −14.0030 + 2.5599I
u = 0.536495 − 0.000198I
a = 0.28371 + 1.57844I
b = −0.40679 + 1.53085I
0.40019 + 3.39815I −14.0030 − 2.5599I
u = −0.297770 + 0.443979I
a = 0.355005 + 0.411016I
b = −0.343620 + 0.286445I
−0.919864 + 0.889130I −6.00000 − 4.79287I
u = −0.297770 − 0.443979I
a = 0.355005 − 0.411016I
b = −0.343620 − 0.286445I
−0.919864 − 0.889130I −6.00000 + 4.79287I
u = −0.186337 + 0.481770I
a = 2.39045 + 2.37933I
b = 0.730828 + 0.175010I
−4.66281 − 0.77155I −13.19393 + 1.52961I
u = −0.186337 − 0.481770I
a = 2.39045 − 2.37933I
b = 0.730828 − 0.175010I
−4.66281 + 0.77155I −13.19393 − 1.52961I
u = 1.42072 + 0.54039I
a = 0.375157 − 0.333730I
b = 1.104720 − 0.670838I
−4.87816 + 1.00981I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.42072 − 0.54039I
a = 0.375157 + 0.333730I
b = 1.104720 + 0.670838I
−4.87816 − 1.00981I 0
u = −0.53578 + 1.42262I
a = 0.296792 + 0.104044I
b = −0.108922 − 0.500951I
−2.83824 + 0.76467I 0
u = −0.53578 − 1.42262I
a = 0.296792 − 0.104044I
b = −0.108922 + 0.500951I
−2.83824 − 0.76467I 0
u = −0.323207 + 0.351993I
a = −2.64512 − 1.03689I
b = −1.081800 + 0.839919I
−5.02341 + 1.63972I −14.7527 − 4.5921I
u = −0.323207 − 0.351993I
a = −2.64512 + 1.03689I
b = −1.081800 − 0.839919I
−5.02341 − 1.63972I −14.7527 + 4.5921I
u = 0.201731 + 0.420454I
a = 1.32367 − 2.41104I
b = 0.994115 + 0.830118I
−5.96473 + 7.25963I −9.65741 − 5.19485I
u = 0.201731 − 0.420454I
a = 1.32367 + 2.41104I
b = 0.994115 − 0.830118I
−5.96473 − 7.25963I −9.65741 + 5.19485I
21
II. I
u
2
= h1.59 × 10
9
u
32
+ 8.34 × 10
7
u
31
+ · · · + 1.36 × 10
8
b + 2.26 × 10
9
, 1.58 ×
10
9
u
32
+ 2.29 × 10
8
u
31
+ · · · + 1.36 × 10
8
a + 1.64 × 10
9
, u
33
− u
32
+ · · · + 4u − 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
10
=
−11.6596u
32
− 1.69052u
31
+ ··· + 38.8381u − 12.1188
−11.7634u
32
− 0.615081u
31
+ ··· + 53.9183u − 16.7099
a
4
=
25.2109u
32
− 1.78219u
31
+ ··· − 83.7684u + 26.5045
12.9069u
32
+ 0.0379129u
31
+ ··· − 50.0348u + 14.8181
a
1
=
−u
2
+ 1
−u
4
a
11
=
−7.37951u
32
− 0.825443u
31
+ ··· + 23.6176u − 8.01305
−13.8437u
32
+ 1.00749u
31
+ ··· + 60.9266u − 19.7629
a
6
=
u
u
a
9
=
−9.65274u
32
− 2.49860u
31
+ ··· + 34.8475u − 11.1471
−9.75646u
32
− 1.42316u
31
+ ··· + 49.9277u − 15.7382
a
5
=
6.38372u
32
− 1.35218u
31
+ ··· − 26.8158u + 10.3427
6.83048u
32
+ 4.40455u
31
+ ··· − 66.4278u + 20.5161
a
12
=
0.0402593u
32
+ 1.51968u
31
+ ··· − 14.0880u + 6.64636
−6.81062u
32
+ 5.39021u
31
+ ··· + 2.20976u + 0.395475
a
8
=
−14.1122u
32
+ 7.19735u
31
+ ··· + 56.2163u − 23.0540
−22.6719u
32
+ 9.95395u
31
+ ··· + 85.1150u − 31.8996
(ii) Obstruction class = 1
(iii) Cusp Shapes =
450815627
135513403
u
32
+
1339444568
135513403
u
31
+ ··· +
21731643226
135513403
u −
8094543300
135513403
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
33
− 15u
32
+ ··· + 12u − 1
c
2
u
33
− u
32
+ ··· + 4u − 1
c
3
u
33
− u
32
+ ··· − 8u − 1
c
4
u
33
− 7u
32
+ ··· − 12u
2
− 1
c
5
u
33
− 3u
32
+ ··· + 9u − 1
c
6
u
33
+ u
32
+ ··· + 4u + 1
c
7
u
33
+ 7u
32
+ ··· − 6u − 11
c
8
u
33
+ 8u
31
+ ··· + 6u + 1
c
9
u
33
+ 3u
32
+ ··· + 9u + 1
c
10
u
33
− 3u
32
+ ··· + 14u − 1
c
11
u
33
− 2u
32
+ ··· + 6u − 1
c
12
u
33
− u
32
+ ··· − 7u − 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
33
− 3y
32
+ ··· − 20y −1
c
2
, c
6
y
33
− 15y
32
+ ··· + 12y −1
c
3
y
33
− 13y
32
+ ··· + 14y −1
c
4
y
33
+ 47y
32
+ ··· − 24y −1
c
5
, c
9
y
33
+ 9y
32
+ ··· + 3y −1
c
7
y
33
− 17y
32
+ ··· + 256y −121
c
8
y
33
+ 16y
32
+ ··· + 20y −1
c
10
y
33
− 55y
32
+ ··· + 38y −1
c
11
y
33
− 10y
32
+ ··· − 8y −1
c
12
y
33
+ 7y
32
+ ··· − 41y −1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.966960 + 0.204448I
a = −0.603207 − 0.289826I
b = −1.95190 − 0.59868I
−6.67278 − 0.99459I −18.0134 + 3.9087I
u = −0.966960 − 0.204448I
a = −0.603207 + 0.289826I
b = −1.95190 + 0.59868I
−6.67278 + 0.99459I −18.0134 − 3.9087I
u = 0.409709 + 0.926546I
a = −1.121000 + 0.748973I
b = −0.856092 − 0.445082I
−2.82485 + 4.98310I −5.78226 − 2.21036I
u = 0.409709 − 0.926546I
a = −1.121000 − 0.748973I
b = −0.856092 + 0.445082I
−2.82485 − 4.98310I −5.78226 + 2.21036I
u = −0.862031 + 0.457626I
a = 4.24623 + 4.25464I
b = 5.46695 − 0.77933I
−3.43416 + 1.89072I 84.1413 − 112.9232I
u = −0.862031 − 0.457626I
a = 4.24623 − 4.25464I
b = 5.46695 + 0.77933I
−3.43416 − 1.89072I 84.1413 + 112.9232I
u = −0.994592 + 0.326581I
a = −0.585834 − 0.856369I
b = 0.592434 − 0.421847I
−7.06796 + 3.06124I −15.0493 − 4.1920I
u = −0.994592 − 0.326581I
a = −0.585834 + 0.856369I
b = 0.592434 + 0.421847I
−7.06796 − 3.06124I −15.0493 + 4.1920I
u = 0.984410 + 0.416154I
a = 1.56291 − 0.66973I
b = 2.88463 − 0.92987I
−6.91510 − 9.00623I −13.1144 + 5.3584I
u = 0.984410 − 0.416154I
a = 1.56291 + 0.66973I
b = 2.88463 + 0.92987I
−6.91510 + 9.00623I −13.1144 − 5.3584I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.801238 + 0.361523I
a = 1.90300 − 2.35016I
b = 0.65065 − 1.33369I
−6.19449 + 5.76222I −15.2282 + 0.2894I
u = 0.801238 − 0.361523I
a = 1.90300 + 2.35016I
b = 0.65065 + 1.33369I
−6.19449 − 5.76222I −15.2282 − 0.2894I
u = −0.561549 + 0.606799I
a = −0.742679 − 0.216285I
b = −0.983936 − 0.417008I
1.63851 − 2.86867I −4.81703 + 5.19570I
u = −0.561549 − 0.606799I
a = −0.742679 + 0.216285I
b = −0.983936 + 0.417008I
1.63851 + 2.86867I −4.81703 − 5.19570I
u = 1.080610 + 0.485695I
a = −0.51856 + 1.58695I
b = −1.35793 + 1.90111I
−5.73751 − 3.73357I −12.71646 + 3.71259I
u = 1.080610 − 0.485695I
a = −0.51856 − 1.58695I
b = −1.35793 − 1.90111I
−5.73751 + 3.73357I −12.71646 − 3.71259I
u = −1.048900 + 0.584523I
a = −0.437920 − 1.109150I
b = −0.459694 − 0.955307I
0.12107 + 7.64468I −7.29703 − 8.91724I
u = −1.048900 − 0.584523I
a = −0.437920 + 1.109150I
b = −0.459694 + 0.955307I
0.12107 − 7.64468I −7.29703 + 8.91724I
u = −1.212670 + 0.159440I
a = 0.029470 − 0.626724I
b = 1.105020 − 0.380884I
−8.58034 − 2.15359I −13.70753 − 1.53360I
u = −1.212670 − 0.159440I
a = 0.029470 + 0.626724I
b = 1.105020 + 0.380884I
−8.58034 + 2.15359I −13.70753 + 1.53360I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.940064 + 0.795764I
a = −0.734556 + 0.889097I
b = 0.171159 + 1.319740I
−3.73656 + 8.95381I −12.0494 − 8.1833I
u = −0.940064 − 0.795764I
a = −0.734556 − 0.889097I
b = 0.171159 − 1.319740I
−3.73656 − 8.95381I −12.0494 + 8.1833I
u = 0.754396 + 0.046316I
a = −2.02330 + 0.43545I
b = −1.123940 + 0.697515I
−3.38577 + 0.74341I −9.11947 − 0.04018I
u = 0.754396 − 0.046316I
a = −2.02330 − 0.43545I
b = −1.123940 − 0.697515I
−3.38577 − 0.74341I −9.11947 + 0.04018I
u = 0.286418 + 1.220690I
a = −0.345595 + 0.305070I
b = 0.027840 − 0.518278I
−2.83939 − 0.85117I −24.7856 + 17.5846I
u = 0.286418 − 1.220690I
a = −0.345595 − 0.305070I
b = 0.027840 + 0.518278I
−2.83939 + 0.85117I −24.7856 − 17.5846I
u = 1.162580 + 0.635600I
a = −0.52011 + 1.52417I
b = −1.49392 + 1.76878I
−5.16163 − 10.70090I −9.07463 + 5.71346I
u = 1.162580 − 0.635600I
a = −0.52011 − 1.52417I
b = −1.49392 − 1.76878I
−5.16163 + 10.70090I −9.07463 − 5.71346I
u = 0.508233 + 0.377009I
a = −0.53052 − 1.63843I
b = 0.204546 − 1.289390I
0.90912 − 3.74935I −1.81727 + 9.11550I
u = 0.508233 − 0.377009I
a = −0.53052 + 1.63843I
b = 0.204546 + 1.289390I
0.90912 + 3.74935I −1.81727 − 9.11550I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.342757 + 0.493551I
a = −1.58913 + 1.08656I
b = −0.526822 − 1.020460I
−3.08637 − 1.15366I −7.13817 + 2.69572I
u = 0.342757 − 0.493551I
a = −1.58913 − 1.08656I
b = −0.526822 + 1.020460I
−3.08637 + 1.15366I −7.13817 − 2.69572I
u = 1.51282
a = 0.0216123
b = 0.301994
−2.36842 −78.8620
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
33
− 15u
32
+ ··· + 12u − 1)(u
167
+ 74u
166
+ ··· + 31221u + 961)
c
2
(u
33
− u
32
+ ··· + 4u − 1)(u
167
− 37u
165
+ ··· + 29u − 31)
c
3
(u
33
− u
32
+ ··· − 8u − 1)(u
167
− 14u
165
+ ··· + 135699u + 7999)
c
4
(u
33
− 7u
32
+ ··· − 12u
2
− 1)(u
167
+ 2u
166
+ ··· − 13u − 1)
c
5
(u
33
− 3u
32
+ ··· + 9u − 1)
· (u
167
+ 4u
166
+ ··· − 100431668u − 12620969)
c
6
(u
33
+ u
32
+ ··· + 4u + 1)(u
167
− 37u
165
+ ··· + 29u − 31)
c
7
(u
33
+ 7u
32
+ ··· − 6u − 11)
· (u
167
− 4u
166
+ ··· − 42690283337u − 34553045579)
c
8
(u
33
+ 8u
31
+ ··· + 6u + 1)(u
167
+ 3u
166
+ ··· + 2613531u + 97585)
c
9
(u
33
+ 3u
32
+ ··· + 9u + 1)
· (u
167
+ 4u
166
+ ··· − 100431668u − 12620969)
c
10
(u
33
− 3u
32
+ ··· + 14u − 1)(u
167
+ 12u
166
+ ··· + 35u − 1)
c
11
(u
33
− 2u
32
+ ··· + 6u − 1)(u
167
+ 5u
166
+ ··· − 119637u + 24543)
c
12
(u
33
− u
32
+ ··· − 7u − 1)
· (u
167
+ 12u
166
+ ··· + 526426257314u + 56057085917)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
33
− 3y
32
+ ··· − 20y −1)
· (y
167
+ 30y
166
+ ··· − 77198199y −923521)
c
2
, c
6
(y
33
− 15y
32
+ ··· + 12y −1)(y
167
− 74y
166
+ ··· + 31221y −961)
c
3
(y
33
− 13y
32
+ ··· + 14y −1)
· (y
167
− 28y
166
+ ··· + 27826081971y −63984001)
c
4
(y
33
+ 47y
32
+ ··· − 24y −1)(y
167
+ 64y
166
+ ··· − 11y −1)
c
5
, c
9
(y
33
+ 9y
32
+ ··· + 3y −1)
· (y
167
− 102y
166
+ ··· + 847414145497076y −159288858498961)
c
7
(y
33
− 17y
32
+ ··· + 256y −121)
· (y
167
− 80y
166
+ ··· + 8.05 × 10
22
y −1.19 × 10
21
)
c
8
(y
33
+ 16y
32
+ ··· + 20y −1)
· (y
167
+ 49y
166
+ ··· − 1685246559y −9522832225)
c
10
(y
33
− 55y
32
+ ··· + 38y −1)(y
167
− 58y
166
+ ··· + 67y −1)
c
11
(y
33
− 10y
32
+ ··· − 8y −1)
· (y
167
− 41y
166
+ ··· + 36907101225y −602358849)
c
12
(y
33
+ 7y
32
+ ··· − 41y −1)
· (y
167
+ 76y
166
+ ··· − 1.98 × 10
23
y −3.14 × 10
21
)
32
