12a
1198
(K12a
1198
)
A knot diagram
1
Linearized knot diagam
4 10 12 8 3 11 2 1 5 7 6 9
Solving Sequence
7,11
6
3,12
4 5 10 2 8 1 9
c
6
c
11
c
3
c
5
c
10
c
2
c
7
c
1
c
9
c
4
, c
8
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= h4.66736 × 10
443
u
144
− 4.79119 × 10
444
u
143
+ ··· + 1.30096 × 10
445
b − 6.96891 × 10
445
,
7.40283 × 10
445
u
144
− 2.14361 × 10
446
u
143
+ ··· + 1.30096 × 10
445
a + 1.08136 × 10
447
,
u
145
− 3u
144
+ ··· + 30u + 1i
I
u
2
= h20500548319041u
33
− 275174690960662u
32
+ ··· + 673397680793441b − 65230091246849,
528075704142869u
33
+ 297599063074788u
32
+ ··· + 673397680793441a + 2532338124697314,
u
34
+ 18u
32
+ ··· + 2u + 1i
* 2 irreducible components of dim
C
= 0, with total 179 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
= h4.67 × 10
443
u
144
− 4.79 × 10
444
u
143
+ · · · + 1.30 × 10
445
b − 6.97 ×
10
445
, 7.40 × 10
445
u
144
− 2.14 × 10
446
u
143
+ · · · + 1.30 × 10
445
a + 1.08 ×
10
447
, u
145
− 3u
144
+ · · · + 30u + 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
6
=
1
u
2
a
3
=
−5.69028u
144
+ 16.4771u
143
+ ··· − 1416.60u − 83.1200
−0.0358763u
144
+ 0.368281u
143
+ ··· + 115.079u + 5.35674
a
12
=
u
u
3
+ u
a
4
=
−5.48647u
144
+ 15.6291u
143
+ ··· − 1397.04u − 82.6558
0.164018u
144
+ 0.220810u
143
+ ··· + 141.533u + 6.05755
a
5
=
1.97186u
144
− 6.26110u
143
+ ··· + 519.259u + 16.7480
1.02742u
144
− 2.88351u
143
+ ··· + 105.297u + 5.45072
a
10
=
−u
u
a
2
=
−5.94131u
144
+ 17.0043u
143
+ ··· − 1432.32u − 83.4530
0.215160u
144
− 0.158920u
143
+ ··· + 130.797u + 5.68982
a
8
=
2.01176u
144
− 6.54341u
143
+ ··· + 128.662u − 4.11881
0.344088u
144
− 1.16477u
143
+ ··· + 140.826u + 6.88706
a
1
=
−3.88338u
144
+ 11.9704u
143
+ ··· − 1279.86u − 85.6891
−0.158624u
144
+ 0.126640u
143
+ ··· + 80.8831u + 4.76537
a
9
=
5.50348u
144
− 17.0024u
143
+ ··· + 1340.19u + 68.7005
0.135896u
144
− 0.505632u
143
+ ··· − 7.74655u + 0.862548
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.0387298u
144
+ 1.57838u
143
+ ··· + 204.001u + 8.73476
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
145
+ 6u
144
+ ··· − 16u + 1
c
2
u
145
+ 4u
144
+ ··· + 185515060u + 38279399
c
3
u
145
− 35u
143
+ ··· − 85631889u + 14144791
c
4
u
145
+ u
144
+ ··· + 2u + 1
c
5
u
145
+ 12u
144
+ ··· − 13174228u + 7328689
c
6
, c
10
, c
11
u
145
− 3u
144
+ ··· + 30u + 1
c
7
u
145
− 2u
144
+ ··· + 14370450736u + 2642976587
c
8
, c
12
u
145
+ 49u
143
+ ··· + 1759u + 541
c
9
u
145
− u
144
+ ··· + 962205u + 328951
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
145
− 16y
144
+ ··· − 758y −1
c
2
y
145
+ 64y
144
+ ··· − 46211062606405672y −1465312387801201
c
3
y
145
− 70y
144
+ ··· + 9065639520733613y −200075112433681
c
4
y
145
+ y
144
+ ··· − 30y −1
c
5
y
145
− 46y
144
+ ··· + 2078737869821982y −53709682458721
c
6
, c
10
, c
11
y
145
+ 151y
144
+ ··· + 224y −1
c
7
y
145
+ 92y
144
+ ··· − 3.02 × 10
20
y −6.99 × 10
18
c
8
, c
12
y
145
+ 98y
144
+ ··· − 20435091y −292681
c
9
y
145
− 15y
144
+ ··· + 1990900220177y −108208760401
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.556225 + 0.825178I
a = −0.642250 − 0.113886I
b = −0.549441 + 0.390152I
−0.98641 + 5.89965I 0
u = 0.556225 − 0.825178I
a = −0.642250 + 0.113886I
b = −0.549441 − 0.390152I
−0.98641 − 5.89965I 0
u = 0.624539 + 0.774639I
a = 0.650404 − 0.195995I
b = 0.296229 + 0.396389I
1.22895 + 2.67342I 0
u = 0.624539 − 0.774639I
a = 0.650404 + 0.195995I
b = 0.296229 − 0.396389I
1.22895 − 2.67342I 0
u = −0.461064 + 0.896003I
a = −0.328974 − 0.451183I
b = −0.038803 − 0.414851I
3.99268 − 5.21091I 0
u = −0.461064 − 0.896003I
a = −0.328974 + 0.451183I
b = −0.038803 + 0.414851I
3.99268 + 5.21091I 0
u = −0.814275 + 0.598530I
a = 0.531502 − 0.489949I
b = 0.801664 + 0.014554I
−4.83166 − 9.34281I 0
u = −0.814275 − 0.598530I
a = 0.531502 + 0.489949I
b = 0.801664 − 0.014554I
−4.83166 + 9.34281I 0
u = 0.268368 + 0.984195I
a = 0.239016 − 0.542346I
b = −0.617928 + 0.932521I
−1.03551 + 1.06476I 0
u = 0.268368 − 0.984195I
a = 0.239016 + 0.542346I
b = −0.617928 − 0.932521I
−1.03551 − 1.06476I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.831486 + 0.608016I
a = 0.567344 + 0.572549I
b = 0.750347 − 0.119663I
−0.9751 + 15.4421I 0
u = 0.831486 − 0.608016I
a = 0.567344 − 0.572549I
b = 0.750347 + 0.119663I
−0.9751 − 15.4421I 0
u = 0.314618 + 0.987524I
a = 0.440419 + 0.325660I
b = −1.07228 − 1.17355I
0.00642 − 3.18413I 0
u = 0.314618 − 0.987524I
a = 0.440419 − 0.325660I
b = −1.07228 + 1.17355I
0.00642 + 3.18413I 0
u = 0.829458 + 0.625826I
a = −0.256361 − 0.647722I
b = −0.572982 + 0.100892I
−2.75410 + 3.14936I 0
u = 0.829458 − 0.625826I
a = −0.256361 + 0.647722I
b = −0.572982 − 0.100892I
−2.75410 − 3.14936I 0
u = −0.880427 + 0.572298I
a = −0.049833 − 0.547892I
b = 0.323661 − 0.448848I
−4.66504 + 3.72932I 0
u = −0.880427 − 0.572298I
a = −0.049833 + 0.547892I
b = 0.323661 + 0.448848I
−4.66504 − 3.72932I 0
u = 0.845795 + 0.633543I
a = 0.564688 + 0.294872I
b = 0.587663 + 0.436303I
1.05971 + 2.93819I 0
u = 0.845795 − 0.633543I
a = 0.564688 − 0.294872I
b = 0.587663 − 0.436303I
1.05971 − 2.93819I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.881992 + 0.588045I
a = 0.054193 − 0.456185I
b = −0.576587 − 0.134071I
−2.57032 + 2.58753I 0
u = 0.881992 − 0.588045I
a = 0.054193 + 0.456185I
b = −0.576587 + 0.134071I
−2.57032 − 2.58753I 0
u = 0.301316 + 0.886369I
a = 0.182491 + 0.204939I
b = −0.214326 + 0.398617I
−0.58432 + 1.86220I 0
u = 0.301316 − 0.886369I
a = 0.182491 − 0.204939I
b = −0.214326 − 0.398617I
−0.58432 − 1.86220I 0
u = −0.782451 + 0.502344I
a = −0.567424 + 1.000280I
b = −0.540958 − 0.208296I
−1.99261 − 6.01306I 0
u = −0.782451 − 0.502344I
a = −0.567424 − 1.000280I
b = −0.540958 + 0.208296I
−1.99261 + 6.01306I 0
u = 0.919012 + 0.570141I
a = −0.207431 + 0.457950I
b = 0.371977 + 0.477396I
−0.76501 − 9.68728I 0
u = 0.919012 − 0.570141I
a = −0.207431 − 0.457950I
b = 0.371977 − 0.477396I
−0.76501 + 9.68728I 0
u = −0.370483 + 0.808138I
a = 0.214317 − 1.287740I
b = −0.121966 − 0.078133I
1.27250 + 4.48458I 0
u = −0.370483 − 0.808138I
a = 0.214317 + 1.287740I
b = −0.121966 + 0.078133I
1.27250 − 4.48458I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.402766 + 0.783717I
a = 0.012063 + 0.733731I
b = −0.423670 − 1.059380I
−0.65449 − 2.56138I 0
u = −0.402766 − 0.783717I
a = 0.012063 − 0.733731I
b = −0.423670 + 1.059380I
−0.65449 + 2.56138I 0
u = 0.785549 + 0.331316I
a = 0.209417 − 0.240366I
b = −0.109209 + 0.642695I
2.34000 + 2.19166I 0
u = 0.785549 − 0.331316I
a = 0.209417 + 0.240366I
b = −0.109209 − 0.642695I
2.34000 − 2.19166I 0
u = −0.659761 + 0.535821I
a = 0.278189 + 0.370634I
b = −0.712055 + 0.496101I
−2.29633 + 1.12360I 0
u = −0.659761 − 0.535821I
a = 0.278189 − 0.370634I
b = −0.712055 − 0.496101I
−2.29633 − 1.12360I 0
u = 0.645870 + 0.545359I
a = 0.500659 + 0.937110I
b = 0.087253 + 0.371968I
−0.07189 + 2.85317I 0
u = 0.645870 − 0.545359I
a = 0.500659 − 0.937110I
b = 0.087253 − 0.371968I
−0.07189 − 2.85317I 0
u = −0.414681 + 0.614320I
a = −1.173390 + 0.020581I
b = −0.710045 − 0.116799I
−2.15798 − 3.91536I 0
u = −0.414681 − 0.614320I
a = −1.173390 − 0.020581I
b = −0.710045 + 0.116799I
−2.15798 + 3.91536I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.696492 + 0.241114I
a = 1.203250 − 0.005069I
b = 0.005953 − 0.293743I
1.00024 − 1.42873I 0
u = −0.696492 − 0.241114I
a = 1.203250 + 0.005069I
b = 0.005953 + 0.293743I
1.00024 + 1.42873I 0
u = 0.649828 + 0.339284I
a = 0.488675 + 0.264243I
b = 1.038040 − 0.008671I
0.56143 + 1.38537I 0
u = 0.649828 − 0.339284I
a = 0.488675 − 0.264243I
b = 1.038040 + 0.008671I
0.56143 − 1.38537I 0
u = −0.615624 + 0.251939I
a = 0.863900 − 0.556432I
b = 0.518522 + 0.525567I
5.81429 + 1.43027I 0
u = −0.615624 − 0.251939I
a = 0.863900 + 0.556432I
b = 0.518522 − 0.525567I
5.81429 − 1.43027I 0
u = −0.363995 + 0.529843I
a = 0.068291 + 0.292945I
b = −0.697896 + 0.795322I
−2.05598 + 1.17146I 0
u = −0.363995 − 0.529843I
a = 0.068291 − 0.292945I
b = −0.697896 − 0.795322I
−2.05598 − 1.17146I 0
u = −0.577464 + 0.275522I
a = 0.367696 − 0.624397I
b = 1.182590 + 0.583160I
2.86659 − 7.96547I 0
u = −0.577464 − 0.275522I
a = 0.367696 + 0.624397I
b = 1.182590 − 0.583160I
2.86659 + 7.96547I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.011086 + 1.362460I
a = −1.74360 − 1.02253I
b = 2.58269 + 1.40945I
−1.47440 − 3.20190I 0
u = 0.011086 − 1.362460I
a = −1.74360 + 1.02253I
b = 2.58269 − 1.40945I
−1.47440 + 3.20190I 0
u = 0.613954 + 0.160874I
a = −1.24264 − 1.97486I
b = −0.279995 + 0.036511I
2.48344 + 6.68813I 0
u = 0.613954 − 0.160874I
a = −1.24264 + 1.97486I
b = −0.279995 − 0.036511I
2.48344 − 6.68813I 0
u = 0.512043 + 0.322084I
a = 0.801982 + 0.116758I
b = 0.503416 + 0.149811I
0.90298 + 1.17967I 0
u = 0.512043 − 0.322084I
a = 0.801982 − 0.116758I
b = 0.503416 − 0.149811I
0.90298 − 1.17967I 0
u = −0.159027 + 1.388920I
a = 0.886144 − 0.204515I
b = −1.75051 − 0.51269I
−3.99702 − 4.37393I 0
u = −0.159027 − 1.388920I
a = 0.886144 + 0.204515I
b = −1.75051 + 0.51269I
−3.99702 + 4.37393I 0
u = −0.078233 + 1.396290I
a = −1.74441 + 0.41548I
b = 2.14122 − 0.79943I
−6.12205 − 1.05917I 0
u = −0.078233 − 1.396290I
a = −1.74441 − 0.41548I
b = 2.14122 + 0.79943I
−6.12205 + 1.05917I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.599831 + 0.040076I
a = 1.190960 − 0.274972I
b = −0.039198 + 0.415994I
1.67251 + 2.09370I 0
u = 0.599831 − 0.040076I
a = 1.190960 + 0.274972I
b = −0.039198 − 0.415994I
1.67251 − 2.09370I 0
u = 0.144519 + 1.393790I
a = −2.15037 − 0.16683I
b = 3.82249 − 0.00908I
−2.41754 + 9.23186I 0
u = 0.144519 − 1.393790I
a = −2.15037 + 0.16683I
b = 3.82249 + 0.00908I
−2.41754 − 9.23186I 0
u = −0.159444 + 1.398360I
a = 1.66404 + 0.32023I
b = −2.27102 − 0.59587I
0.572053 − 1.261620I 0
u = −0.159444 − 1.398360I
a = 1.66404 − 0.32023I
b = −2.27102 + 0.59587I
0.572053 + 1.261620I 0
u = 0.002679 + 1.413300I
a = 0.189723 + 0.121423I
b = −0.524514 + 1.073580I
−1.90797 + 2.82831I 0
u = 0.002679 − 1.413300I
a = 0.189723 − 0.121423I
b = −0.524514 − 1.073580I
−1.90797 − 2.82831I 0
u = 0.20342 + 1.41117I
a = −1.012290 + 0.105557I
b = 1.146200 + 0.258691I
−3.04588 + 5.60141I 0
u = 0.20342 − 1.41117I
a = −1.012290 − 0.105557I
b = 1.146200 − 0.258691I
−3.04588 − 5.60141I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.16790 + 1.42579I
a = 2.09350 + 0.28074I
b = −2.61565 + 0.16346I
−5.01431 + 4.23456I 0
u = 0.16790 − 1.42579I
a = 2.09350 − 0.28074I
b = −2.61565 − 0.16346I
−5.01431 − 4.23456I 0
u = −0.15288 + 1.43683I
a = 2.50034 + 0.20967I
b = −2.97643 − 0.51409I
−2.66393 − 10.46700I 0
u = −0.15288 − 1.43683I
a = 2.50034 − 0.20967I
b = −2.97643 + 0.51409I
−2.66393 + 10.46700I 0
u = −0.339278 + 0.416126I
a = −2.17221 + 0.08923I
b = −0.614615 + 0.091771I
−1.96611 − 3.88117I −7.85296 + 9.48396I
u = −0.339278 − 0.416126I
a = −2.17221 − 0.08923I
b = −0.614615 − 0.091771I
−1.96611 + 3.88117I −7.85296 − 9.48396I
u = −1.19148 + 0.85231I
a = −0.099600 + 0.135325I
b = −0.248930 + 0.045305I
2.99437 − 4.05829I 0
u = −1.19148 − 0.85231I
a = −0.099600 − 0.135325I
b = −0.248930 − 0.045305I
2.99437 + 4.05829I 0
u = 0.13978 + 1.45948I
a = 1.39508 + 0.29976I
b = −2.13322 + 0.18996I
−4.92661 + 3.43848I 0
u = 0.13978 − 1.45948I
a = 1.39508 − 0.29976I
b = −2.13322 − 0.18996I
−4.92661 − 3.43848I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.04326 + 1.47620I
a = 0.95565 − 1.80194I
b = −1.31941 + 1.36860I
−8.78089 − 3.47176I 0
u = −0.04326 − 1.47620I
a = 0.95565 + 1.80194I
b = −1.31941 − 1.36860I
−8.78089 + 3.47176I 0
u = 0.01351 + 1.48077I
a = −1.387630 + 0.095475I
b = 2.06095 − 1.14207I
−7.98025 − 0.12386I 0
u = 0.01351 − 1.48077I
a = −1.387630 − 0.095475I
b = 2.06095 + 1.14207I
−7.98025 + 0.12386I 0
u = −0.08357 + 1.47991I
a = −2.03859 − 0.34510I
b = 3.42322 + 1.22186I
−8.17057 − 5.30912I 0
u = −0.08357 − 1.47991I
a = −2.03859 + 0.34510I
b = 3.42322 − 1.22186I
−8.17057 + 5.30912I 0
u = −0.04842 + 1.48526I
a = 1.16217 − 1.00881I
b = −2.12740 + 2.70114I
−5.90082 − 8.50106I 0
u = −0.04842 − 1.48526I
a = 1.16217 + 1.00881I
b = −2.12740 − 2.70114I
−5.90082 + 8.50106I 0
u = 0.04934 + 1.48620I
a = −1.95966 + 0.85257I
b = 2.76707 − 0.63128I
−7.54314 + 3.73004I 0
u = 0.04934 − 1.48620I
a = −1.95966 − 0.85257I
b = 2.76707 + 0.63128I
−7.54314 − 3.73004I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.002750 + 0.503827I
a = 2.32769 + 2.38667I
b = −0.015462 − 0.441723I
−3.65445 + 2.01067I −16.9425 − 2.9920I
u = −0.002750 − 0.503827I
a = 2.32769 − 2.38667I
b = −0.015462 + 0.441723I
−3.65445 − 2.01067I −16.9425 + 2.9920I
u = −0.03679 + 1.50398I
a = −1.80947 − 0.64392I
b = 2.48538 + 0.23724I
−8.67360 − 1.09683I 0
u = −0.03679 − 1.50398I
a = −1.80947 + 0.64392I
b = 2.48538 − 0.23724I
−8.67360 + 1.09683I 0
u = 0.149193 + 0.469925I
a = 0.250751 − 0.938106I
b = 1.29066 + 1.27443I
−0.23888 + 7.86583I −8.95712 − 10.69616I
u = 0.149193 − 0.469925I
a = 0.250751 + 0.938106I
b = 1.29066 − 1.27443I
−0.23888 − 7.86583I −8.95712 + 10.69616I
u = 0.05556 + 1.50776I
a = 1.61208 + 1.50841I
b = −2.11858 − 1.14663I
−6.84902 + 8.67644I 0
u = 0.05556 − 1.50776I
a = 1.61208 − 1.50841I
b = −2.11858 + 1.14663I
−6.84902 − 8.67644I 0
u = 0.01681 + 1.51070I
a = 1.51137 + 0.84635I
b = −2.83678 − 2.17734I
−10.36880 + 2.17523I 0
u = 0.01681 − 1.51070I
a = 1.51137 − 0.84635I
b = −2.83678 + 2.17734I
−10.36880 − 2.17523I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.02686 + 1.51709I
a = −1.69096 + 1.03137I
b = 2.24639 − 0.95207I
−8.98511 + 0.25144I 0
u = −0.02686 − 1.51709I
a = −1.69096 − 1.03137I
b = 2.24639 + 0.95207I
−8.98511 − 0.25144I 0
u = −0.27396 + 1.51191I
a = −1.065490 + 0.721316I
b = 1.65870 − 0.54965I
−8.77771 − 2.39234I 0
u = −0.27396 − 1.51191I
a = −1.065490 − 0.721316I
b = 1.65870 + 0.54965I
−8.77771 + 2.39234I 0
u = −0.02930 + 1.55208I
a = −1.57364 − 0.91840I
b = 2.04533 + 0.77832I
−8.45921 − 3.53543I 0
u = −0.02930 − 1.55208I
a = −1.57364 + 0.91840I
b = 2.04533 − 0.77832I
−8.45921 + 3.53543I 0
u = 0.24475 + 1.53419I
a = 1.275070 + 0.460213I
b = −2.42370 − 0.55813I
−6.86736 + 6.22232I 0
u = 0.24475 − 1.53419I
a = 1.275070 − 0.460213I
b = −2.42370 + 0.55813I
−6.86736 − 6.22232I 0
u = 0.02696 + 1.55350I
a = 1.331580 − 0.387022I
b = −2.37229 + 1.10929I
−6.99520 + 4.12836I 0
u = 0.02696 − 1.55350I
a = 1.331580 + 0.387022I
b = −2.37229 − 1.10929I
−6.99520 − 4.12836I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.27441 + 1.53613I
a = −1.79612 + 0.02907I
b = 2.82489 + 0.15516I
−8.66548 − 9.89629I 0
u = −0.27441 − 1.53613I
a = −1.79612 − 0.02907I
b = 2.82489 − 0.15516I
−8.66548 + 9.89629I 0
u = −0.129810 + 0.419122I
a = −0.90541 + 1.63988I
b = −0.719659 − 0.794911I
−2.20034 − 0.51145I −10.54171 − 3.12088I
u = −0.129810 − 0.419122I
a = −0.90541 − 1.63988I
b = −0.719659 + 0.794911I
−2.20034 + 0.51145I −10.54171 + 3.12088I
u = −0.16631 + 1.56922I
a = −1.84655 − 0.27700I
b = 2.91304 + 0.80603I
−9.53924 − 6.26121I 0
u = −0.16631 − 1.56922I
a = −1.84655 + 0.27700I
b = 2.91304 − 0.80603I
−9.53924 + 6.26121I 0
u = 0.27314 + 1.56711I
a = 1.53347 + 0.17871I
b = −2.69322 + 0.39570I
−6.11859 + 6.98842I 0
u = 0.27314 − 1.56711I
a = 1.53347 − 0.17871I
b = −2.69322 − 0.39570I
−6.11859 − 6.98842I 0
u = −0.27503 + 1.56700I
a = 1.75338 − 0.06534I
b = −2.78582 − 0.45380I
−11.9244 − 13.3505I 0
u = −0.27503 − 1.56700I
a = 1.75338 + 0.06534I
b = −2.78582 + 0.45380I
−11.9244 + 13.3505I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.28254 + 1.57247I
a = 1.78600 − 0.02515I
b = −2.82696 + 0.51833I
−8.1103 + 19.5477I 0
u = 0.28254 − 1.57247I
a = 1.78600 + 0.02515I
b = −2.82696 − 0.51833I
−8.1103 − 19.5477I 0
u = 0.26915 + 1.58076I
a = −1.58925 − 0.10118I
b = 2.44552 − 0.13609I
−10.01570 + 7.18294I 0
u = 0.26915 − 1.58076I
a = −1.58925 + 0.10118I
b = 2.44552 + 0.13609I
−10.01570 − 7.18294I 0
u = 0.28356 + 1.58476I
a = −1.299760 − 0.257756I
b = 2.00561 + 0.01852I
−9.75896 + 6.86286I 0
u = 0.28356 − 1.58476I
a = −1.299760 + 0.257756I
b = 2.00561 − 0.01852I
−9.75896 − 6.86286I 0
u = 0.114893 + 0.357825I
a = −2.01526 − 1.07058I
b = −0.681152 + 0.998277I
−1.33203 + 3.04555I −5.86875 − 6.87636I
u = 0.114893 − 0.357825I
a = −2.01526 + 1.07058I
b = −0.681152 − 0.998277I
−1.33203 − 3.04555I −5.86875 + 6.87636I
u = −0.27713 + 1.60094I
a = 1.009440 − 0.370641I
b = −1.79791 + 0.34651I
−11.91210 − 0.60022I 0
u = −0.27713 − 1.60094I
a = 1.009440 + 0.370641I
b = −1.79791 − 0.34651I
−11.91210 + 0.60022I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.131261 + 0.349208I
a = 1.71716 − 5.02126I
b = 0.007135 + 0.538342I
0.27748 − 7.80456I −10.0473 + 15.4807I
u = −0.131261 − 0.349208I
a = 1.71716 + 5.02126I
b = 0.007135 − 0.538342I
0.27748 + 7.80456I −10.0473 − 15.4807I
u = 0.20239 + 1.62346I
a = −1.59932 + 0.39885I
b = 2.49299 − 0.93396I
−9.18549 + 8.93541I 0
u = 0.20239 − 1.62346I
a = −1.59932 − 0.39885I
b = 2.49299 + 0.93396I
−9.18549 − 8.93541I 0
u = −0.170594 + 0.294674I
a = 0.87129 + 1.12273I
b = 0.76290 − 1.58100I
−2.80159 − 2.76069I −10.6385 + 14.5729I
u = −0.170594 − 0.294674I
a = 0.87129 − 1.12273I
b = 0.76290 + 1.58100I
−2.80159 + 2.76069I −10.6385 − 14.5729I
u = 0.28509 + 1.64694I
a = 0.866929 + 0.347649I
b = −1.51633 − 0.28537I
−8.17833 − 5.02771I 0
u = 0.28509 − 1.64694I
a = 0.866929 − 0.347649I
b = −1.51633 + 0.28537I
−8.17833 + 5.02771I 0
u = −0.029024 + 0.316489I
a = −1.19753 + 3.06941I
b = −0.665602 − 0.558870I
−1.91054 − 0.20378I −9.98005 + 1.13945I
u = −0.029024 − 0.316489I
a = −1.19753 − 3.06941I
b = −0.665602 + 0.558870I
−1.91054 + 0.20378I −9.98005 − 1.13945I
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.30637 + 1.65978I
a = −0.946117 − 0.183118I
b = 1.54528 + 0.60575I
−5.37186 − 9.32028I 0
u = −0.30637 − 1.65978I
a = −0.946117 + 0.183118I
b = 1.54528 − 0.60575I
−5.37186 + 9.32028I 0
u = −0.230136
a = 2.72654
b = −0.845972
−1.47401 −7.26200
u = −0.0764042 + 0.0179609I
a = −10.8740 − 12.0224I
b = −0.399482 + 0.864665I
2.97615 + 2.97617I 6.03236 − 2.34474I
u = −0.0764042 − 0.0179609I
a = −10.8740 + 12.0224I
b = −0.399482 − 0.864665I
2.97615 − 2.97617I 6.03236 + 2.34474I
19
II. I
u
2
=
h2.05×10
13
u
33
−2.75×10
14
u
32
+· · ·+6.73×10
14
b−6.52×10
13
, 5.28×10
14
u
33
+
2.98 × 10
14
u
32
+ · · · + 6.73 × 10
14
a + 2.53 × 10
15
, u
34
+ 18u
32
+ · · · + 2u + 1i
(i) Arc colorings
a
7
=
1
0
a
11
=
0
u
a
6
=
1
u
2
a
3
=
−0.784196u
33
− 0.441937u
32
+ ··· − 3.17647u − 3.76054
−0.0304434u
33
+ 0.408636u
32
+ ··· − 0.785232u + 0.0968671
a
12
=
u
u
3
+ u
a
4
=
−1.12387u
33
+ 0.182378u
32
+ ··· − 1.77297u − 3.21512
0.415872u
33
+ 0.405597u
32
+ ··· − 0.290691u + 0.0179715
a
5
=
−0.194085u
33
+ 0.401120u
32
+ ··· − 3.08724u + 1.04965
0.0317780u
33
− 0.513316u
32
+ ··· − 1.55479u + 0.156733
a
10
=
−u
u
a
2
=
−1.46786u
33
− 0.283442u
32
+ ··· − 4.05771u − 3.79384
0.653220u
33
+ 0.250141u
32
+ ··· + 0.0960079u + 0.130167
a
8
=
2.28345u
33
− 1.07653u
32
+ ··· + 1.74237u − 0.642498
−1.18448u
33
+ 0.501430u
32
+ ··· − 1.92968u + 1.47950
a
1
=
−1.08573u
33
− 0.678426u
32
+ ··· − 6.97850u + 0.904777
−0.0432217u
33
+ 0.549395u
32
+ ··· + 1.87265u − 0.471583
a
9
=
−1.42406u
33
+ 0.214879u
32
+ ··· − 5.54292u − 2.73659
0.127175u
33
+ 0.490092u
32
+ ··· + 2.92140u + 0.808714
(ii) Obstruction class = 1
(iii) Cusp Shapes
=
374181169371643
673397680793441
u
33
−
51522030673023
673397680793441
u
32
+ ··· +
1392673442680760
673397680793441
u +
580167133223485
673397680793441
20
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
34
− 15u
33
+ ··· + 4u + 1
c
2
u
34
+ u
33
+ ··· + 8u
2
+ 1
c
3
u
34
− 5u
33
+ ··· + 61u + 13
c
4
u
34
− u
32
+ ··· − u
2
+ 1
c
5
u
34
+ 13u
33
+ ··· + 14u + 1
c
6
u
34
+ 18u
32
+ ··· + 2u + 1
c
7
u
34
− u
33
+ ··· + 2u + 1
c
8
u
34
+ u
33
+ ··· + u + 1
c
9
u
34
+ 9u
32
+ ··· − u + 1
c
10
, c
11
u
34
+ 18u
32
+ ··· − 2u + 1
c
12
u
34
− u
33
+ ··· − u + 1
21
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
− 15y
33
+ ··· − 26y + 1
c
2
y
34
+ 17y
33
+ ··· + 16y + 1
c
3
y
34
− 17y
33
+ ··· − 2161y + 169
c
4
y
34
− 2y
33
+ ··· − 2y + 1
c
5
y
34
− 5y
33
+ ··· − 14y + 1
c
6
, c
10
, c
11
y
34
+ 36y
33
+ ··· + 24y + 1
c
7
y
34
+ 29y
33
+ ··· + 26y + 1
c
8
, c
12
y
34
+ 31y
33
+ ··· + 11y + 1
c
9
y
34
+ 18y
33
+ ··· − 13y + 1
22
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.050149 + 1.080630I
a = 0.558112 − 0.632588I
b = −1.06739 + 1.65093I
0.85767 + 2.68073I 2.65649 − 2.24463I
u = −0.050149 − 1.080630I
a = 0.558112 + 0.632588I
b = −1.06739 − 1.65093I
0.85767 − 2.68073I 2.65649 + 2.24463I
u = −0.849388 + 0.672851I
a = −0.485925 + 0.297958I
b = −0.477027 + 0.402807I
0.91656 − 2.97982I −21.3615 + 18.4493I
u = −0.849388 − 0.672851I
a = −0.485925 − 0.297958I
b = −0.477027 − 0.402807I
0.91656 + 2.97982I −21.3615 − 18.4493I
u = 0.592743 + 0.630762I
a = −0.857092 − 0.570157I
b = −0.557373 + 0.308256I
−1.37198 + 4.99600I −3.59435 − 5.55838I
u = 0.592743 − 0.630762I
a = −0.857092 + 0.570157I
b = −0.557373 − 0.308256I
−1.37198 − 4.99600I −3.59435 + 5.55838I
u = −0.467438 + 0.715973I
a = 0.055006 + 0.746532I
b = −0.103357 − 0.354613I
−1.51256 − 1.74783I −7.39460 + 3.09836I
u = −0.467438 − 0.715973I
a = 0.055006 − 0.746532I
b = −0.103357 + 0.354613I
−1.51256 + 1.74783I −7.39460 − 3.09836I
u = −0.134263 + 0.785669I
a = −1.12712 − 1.26754I
b = 0.151364 + 0.263874I
1.96774 − 3.29644I −0.01860 + 3.76880I
u = −0.134263 − 0.785669I
a = −1.12712 + 1.26754I
b = 0.151364 − 0.263874I
1.96774 + 3.29644I −0.01860 − 3.76880I
23
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.200452 + 0.751911I
a = −0.011074 − 0.160901I
b = −0.829886 − 0.701876I
−1.51373 − 1.91428I −4.59715 + 3.70449I
u = 0.200452 − 0.751911I
a = −0.011074 + 0.160901I
b = −0.829886 + 0.701876I
−1.51373 + 1.91428I −4.59715 − 3.70449I
u = −0.323827 + 0.698155I
a = −0.155502 + 0.647525I
b = −0.574162 − 0.607817I
−1.65916 − 1.62456I −8.63993 + 3.64820I
u = −0.323827 − 0.698155I
a = −0.155502 − 0.647525I
b = −0.574162 + 0.607817I
−1.65916 + 1.62456I −8.63993 − 3.64820I
u = 0.111447 + 1.377410I
a = 1.44684 + 1.15811I
b = −2.16965 − 0.92077I
−6.74261 + 3.46575I −8.50814 − 3.55598I
u = 0.111447 − 1.377410I
a = 1.44684 − 1.15811I
b = −2.16965 + 0.92077I
−6.74261 − 3.46575I −8.50814 + 3.55598I
u = −0.098705 + 1.379750I
a = 2.06677 − 0.91536I
b = −3.09713 + 1.29826I
−3.52417 − 8.60502I −6.80536 + 6.62951I
u = −0.098705 − 1.379750I
a = 2.06677 + 0.91536I
b = −3.09713 − 1.29826I
−3.52417 + 8.60502I −6.80536 − 6.62951I
u = 1.102000 + 0.886127I
a = 0.093369 − 0.184609I
b = 0.165485 + 0.282525I
3.09564 + 3.87217I 8.26686 + 10.56624I
u = 1.102000 − 0.886127I
a = 0.093369 + 0.184609I
b = 0.165485 − 0.282525I
3.09564 − 3.87217I 8.26686 − 10.56624I
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.01635 + 1.50401I
a = −1.020430 − 0.761407I
b = 1.54351 + 0.27104I
−9.09667 − 2.04354I −11.30380 + 2.56759I
u = −0.01635 − 1.50401I
a = −1.020430 + 0.761407I
b = 1.54351 − 0.27104I
−9.09667 + 2.04354I −11.30380 − 2.56759I
u = −0.02843 + 1.52417I
a = −1.86924 − 0.37582I
b = 2.68194 + 0.21544I
−8.88561 − 2.28821I −11.10986 + 0.I
u = −0.02843 − 1.52417I
a = −1.86924 + 0.37582I
b = 2.68194 − 0.21544I
−8.88561 + 2.28821I −11.10986 + 0.I
u = 0.04427 + 1.54980I
a = 0.287181 + 0.091111I
b = −0.305424 + 0.709925I
−6.14558 + 6.86008I −6.94133 − 5.61399I
u = 0.04427 − 1.54980I
a = 0.287181 − 0.091111I
b = −0.305424 − 0.709925I
−6.14558 − 6.86008I −6.94133 + 5.61399I
u = −0.25332 + 1.56977I
a = −1.46344 + 0.15883I
b = 2.61729 + 0.22435I
−6.45104 − 6.86437I 0
u = −0.25332 − 1.56977I
a = −1.46344 − 0.15883I
b = 2.61729 − 0.22435I
−6.45104 + 6.86437I 0
u = 0.22453 + 1.59292I
a = −1.67536 + 0.21937I
b = 2.58655 − 0.59098I
−8.87362 + 8.20730I 0
u = 0.22453 − 1.59292I
a = −1.67536 − 0.21937I
b = 2.58655 + 0.59098I
−8.87362 − 8.20730I 0
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.225771 + 0.219829I
a = −3.98660 − 0.14851I
b = 0.703549 + 0.590300I
0.66190 + 7.39119I 0.87593 − 3.89767I
u = −0.225771 − 0.219829I
a = −3.98660 + 0.14851I
b = 0.703549 − 0.590300I
0.66190 − 7.39119I 0.87593 + 3.89767I
u = 0.172193 + 0.259880I
a = −2.35550 − 0.01078I
b = 0.231721 − 1.135250I
−2.71573 − 2.25151I −7.22080 + 0.25597I
u = 0.172193 − 0.259880I
a = −2.35550 + 0.01078I
b = 0.231721 + 1.135250I
−2.71573 + 2.25151I −7.22080 − 0.25597I
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
34
− 15u
33
+ ··· + 4u + 1)(u
145
+ 6u
144
+ ··· − 16u + 1)
c
2
(u
34
+ u
33
+ ··· + 8u
2
+ 1)
· (u
145
+ 4u
144
+ ··· + 185515060u + 38279399)
c
3
(u
34
− 5u
33
+ ··· + 61u + 13)
· (u
145
− 35u
143
+ ··· − 85631889u + 14144791)
c
4
(u
34
− u
32
+ ··· − u
2
+ 1)(u
145
+ u
144
+ ··· + 2u + 1)
c
5
(u
34
+ 13u
33
+ ··· + 14u + 1)
· (u
145
+ 12u
144
+ ··· − 13174228u + 7328689)
c
6
(u
34
+ 18u
32
+ ··· + 2u + 1)(u
145
− 3u
144
+ ··· + 30u + 1)
c
7
(u
34
− u
33
+ ··· + 2u + 1)
· (u
145
− 2u
144
+ ··· + 14370450736u + 2642976587)
c
8
(u
34
+ u
33
+ ··· + u + 1)(u
145
+ 49u
143
+ ··· + 1759u + 541)
c
9
(u
34
+ 9u
32
+ ··· − u + 1)(u
145
− u
144
+ ··· + 962205u + 328951)
c
10
, c
11
(u
34
+ 18u
32
+ ··· − 2u + 1)(u
145
− 3u
144
+ ··· + 30u + 1)
c
12
(u
34
− u
33
+ ··· − u + 1)(u
145
+ 49u
143
+ ··· + 1759u + 541)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
34
− 15y
33
+ ··· − 26y + 1)(y
145
− 16y
144
+ ··· − 758y −1)
c
2
(y
34
+ 17y
33
+ ··· + 16y + 1)
· (y
145
+ 64y
144
+ ··· − 46211062606405672y −1465312387801201)
c
3
(y
34
− 17y
33
+ ··· − 2161y + 169)
· (y
145
− 70y
144
+ ··· + 9065639520733613y −200075112433681)
c
4
(y
34
− 2y
33
+ ··· − 2y + 1)(y
145
+ y
144
+ ··· − 30y −1)
c
5
(y
34
− 5y
33
+ ··· − 14y + 1)
· (y
145
− 46y
144
+ ··· + 2078737869821982y −53709682458721)
c
6
, c
10
, c
11
(y
34
+ 36y
33
+ ··· + 24y + 1)(y
145
+ 151y
144
+ ··· + 224y −1)
c
7
(y
34
+ 29y
33
+ ··· + 26y + 1)
· (y
145
+ 92y
144
+ ··· − 3.02 × 10
20
y −6.99 × 10
18
)
c
8
, c
12
(y
34
+ 31y
33
+ ··· + 11y + 1)
· (y
145
+ 98y
144
+ ··· − 20435091y −292681)
c
9
(y
34
+ 18y
33
+ ··· − 13y + 1)
· (y
145
− 15y
144
+ ··· + 1990900220177y −108208760401)
28
