12a
0263
(K12a
0263
)
A knot diagram
1
Linearized knot diagam
3 6 7 11 9 2 1 5 8 12 4 10
Solving Sequence
4,12
11 5 10
1,8
7 3 9 6 2
c
11
c
4
c
10
c
12
c
7
c
3
c
9
c
5
c
2
c
1
, c
6
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h2.01086 × 10
102
u
114
+ 4.51397 × 10
102
u
113
+ ··· + 1.25045 × 10
102
b − 1.17954 × 10
102
,
1.59104 × 10
102
u
114
+ 1.66298 × 10
102
u
113
+ ··· + 1.25045 × 10
102
a + 4.28857 × 10
102
,
u
115
+ 2u
114
+ ··· + 10u − 1i
I
u
2
= h−au + b − u + 1, a
4
+ 2a
2
u + 2u − 2, u
2
− u + 1i
I
u
3
= hau + b + u + 1, a
3
, u
2
+ u + 1i
* 3 irreducible components of dim
C
= 0, with total 129 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
= h2.01 × 10
102
u
114
+ 4.51 × 10
102
u
113
+ · · · + 1.25 × 10
102
b − 1.18 ×
10
102
, 1.59 × 10
102
u
114
+ 1.66 × 10
102
u
113
+ · · · + 1.25 × 10
102
a + 4.29 ×
10
102
, u
115
+ 2u
114
+ · · · + 10u − 1i
(i) Arc colorings
a
4
=
0
u
a
12
=
1
0
a
11
=
1
u
2
a
5
=
u
u
3
+ u
a
10
=
u
2
+ 1
u
2
a
1
=
u
4
+ u
2
+ 1
u
4
a
8
=
−1.27238u
114
− 1.32991u
113
+ ··· + 35.6015u − 3.42964
−1.60812u
114
− 3.60989u
113
+ ··· − 18.7564u + 0.943297
a
7
=
−1.62566u
114
− 2.03980u
113
+ ··· + 29.6716u − 3.74340
−1.88288u
114
− 3.94564u
113
+ ··· − 15.7526u + 0.703551
a
3
=
−0.271415u
114
− 0.477569u
113
+ ··· − 27.7578u + 7.77372
−2.88361u
114
− 3.20278u
113
+ ··· + 9.23018u − 0.131897
a
9
=
−1.84461u
114
− 2.63457u
113
+ ··· + 30.9998u − 2.90480
−1.56401u
114
− 3.81056u
113
+ ··· − 22.3283u + 1.30793
a
6
=
−0.0966470u
114
− 0.878225u
113
+ ··· + 55.5042u − 8.98908
0.591189u
114
+ 0.769460u
113
+ ··· − 4.98689u − 0.0147896
a
2
=
−1.48684u
114
− 2.97209u
113
+ ··· + 56.2347u + 1.88650
−3.04748u
114
− 4.29788u
113
+ ··· + 6.03056u − 0.234856
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.560378u
114
− 1.25164u
113
+ ··· + 25.2254u − 10.9925
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
115
+ 55u
114
+ ··· − 80u − 16
c
2
, c
6
u
115
− u
114
+ ··· + 4u + 4
c
3
u
115
+ u
114
+ ··· + 22772u + 8452
c
4
, c
11
u
115
− 2u
114
+ ··· + 10u + 1
c
5
, c
8
u
115
+ 3u
114
+ ··· + 25u + 13
c
7
u
115
− 5u
114
+ ··· + 185460u + 1006252
c
9
u
115
+ 55u
114
+ ··· + 2757u + 169
c
10
, c
12
u
115
+ 38u
114
+ ··· − 44u − 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
115
+ 15y
114
+ ··· − 5376y −256
c
2
, c
6
y
115
+ 55y
114
+ ··· − 80y −16
c
3
y
115
− 25y
114
+ ··· + 3322126192y −71436304
c
4
, c
11
y
115
+ 38y
114
+ ··· − 44y −1
c
5
, c
8
y
115
− 55y
114
+ ··· + 2757y −169
c
7
y
115
+ 35y
114
+ ··· − 28479719212304y −1012543087504
c
9
y
115
+ 25y
114
+ ··· − 632631y −28561
c
10
, c
12
y
115
+ 86y
114
+ ··· + 2540y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.317340 + 0.958509I
a = 0.386684 − 0.229998I
b = −0.590348 − 0.487723I
−0.35471 − 2.01312I 0
u = −0.317340 − 0.958509I
a = 0.386684 + 0.229998I
b = −0.590348 + 0.487723I
−0.35471 + 2.01312I 0
u = −0.402442 + 0.927578I
a = 0.283009 − 0.400198I
b = −0.524265 − 0.623213I
−0.33786 − 1.99475I 0
u = −0.402442 − 0.927578I
a = 0.283009 + 0.400198I
b = −0.524265 + 0.623213I
−0.33786 + 1.99475I 0
u = 0.128604 + 0.973698I
a = 0.469012 + 0.081766I
b = −0.637499 + 0.192073I
−4.02849 − 0.46501I 0
u = 0.128604 − 0.973698I
a = 0.469012 − 0.081766I
b = −0.637499 − 0.192073I
−4.02849 + 0.46501I 0
u = −0.026955 + 0.979717I
a = −1.204110 − 0.681289I
b = 0.231698 − 1.130490I
−7.59317 − 3.77195I 0
u = −0.026955 − 0.979717I
a = −1.204110 + 0.681289I
b = 0.231698 + 1.130490I
−7.59317 + 3.77195I 0
u = 0.694392 + 0.747476I
a = −1.28801 + 2.18792I
b = −2.54657 + 0.36171I
−2.72628 − 3.43267I 0
u = 0.694392 − 0.747476I
a = −1.28801 − 2.18792I
b = −2.54657 − 0.36171I
−2.72628 + 3.43267I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.666498 + 0.806418I
a = −0.70376 + 2.31939I
b = −2.30466 + 0.80638I
−2.41073 + 4.83529I 0
u = 0.666498 − 0.806418I
a = −0.70376 − 2.31939I
b = −2.30466 − 0.80638I
−2.41073 − 4.83529I 0
u = −0.708294 + 0.793455I
a = −0.96316 − 2.03713I
b = −2.27747 − 0.46831I
0.797868 − 0.556912I 0
u = −0.708294 − 0.793455I
a = −0.96316 + 2.03713I
b = −2.27747 + 0.46831I
0.797868 + 0.556912I 0
u = −0.724070 + 0.786554I
a = 0.205092 + 0.138209I
b = −0.442316 − 1.079350I
−1.61875 + 2.86367I 0
u = −0.724070 − 0.786554I
a = 0.205092 − 0.138209I
b = −0.442316 + 1.079350I
−1.61875 − 2.86367I 0
u = −0.827334 + 0.679561I
a = −1.50772 − 1.47621I
b = −2.34589 + 0.07969I
0.02962 + 3.95638I 0
u = −0.827334 − 0.679561I
a = −1.50772 + 1.47621I
b = −2.34589 − 0.07969I
0.02962 − 3.95638I 0
u = 0.258721 + 1.039580I
a = 0.382183 + 0.132670I
b = −0.728654 + 0.401051I
−2.42367 + 6.60021I 0
u = 0.258721 − 1.039580I
a = 0.382183 − 0.132670I
b = −0.728654 − 0.401051I
−2.42367 − 6.60021I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.626056 + 0.680132I
a = 0.144981 + 0.252917I
b = −0.371864 − 0.971815I
−3.17538 − 3.53458I 0
u = −0.626056 − 0.680132I
a = 0.144981 − 0.252917I
b = −0.371864 + 0.971815I
−3.17538 + 3.53458I 0
u = 0.460669 + 0.974433I
a = −0.039605 + 0.716668I
b = −0.556193 + 0.580174I
−2.21464 + 5.95174I 0
u = 0.460669 − 0.974433I
a = −0.039605 − 0.716668I
b = −0.556193 − 0.580174I
−2.21464 − 5.95174I 0
u = 0.698183 + 0.826164I
a = 0.185654 − 0.111531I
b = −0.486437 + 1.059710I
0.17908 + 1.79961I 0
u = 0.698183 − 0.826164I
a = 0.185654 + 0.111531I
b = −0.486437 − 1.059710I
0.17908 − 1.79961I 0
u = 0.323763 + 1.038830I
a = −0.465298 + 0.598826I
b = −0.216214 + 0.536876I
−2.15583 + 0.04366I 0
u = 0.323763 − 1.038830I
a = −0.465298 − 0.598826I
b = −0.216214 − 0.536876I
−2.15583 − 0.04366I 0
u = 0.031176 + 0.910871I
a = −1.54113 − 0.58458I
b = 0.11802 − 1.42138I
−6.42366 + 3.97352I 0
u = 0.031176 − 0.910871I
a = −1.54113 + 0.58458I
b = 0.11802 + 1.42138I
−6.42366 − 3.97352I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.778984 + 0.761257I
a = 1.41887 + 0.08520I
b = 1.38202 − 0.77443I
1.81812 − 1.36653I 0
u = −0.778984 − 0.761257I
a = 1.41887 − 0.08520I
b = 1.38202 + 0.77443I
1.81812 + 1.36653I 0
u = −0.248236 + 1.061000I
a = −0.616685 − 0.634563I
b = −0.040821 − 0.575935I
−0.96649 − 4.49766I 0
u = −0.248236 − 1.061000I
a = −0.616685 + 0.634563I
b = −0.040821 + 0.575935I
−0.96649 + 4.49766I 0
u = 0.134648 + 1.088300I
a = −0.805339 + 0.756823I
b = 0.233553 + 0.683296I
−6.57020 + 3.75115I 0
u = 0.134648 − 1.088300I
a = −0.805339 − 0.756823I
b = 0.233553 − 0.683296I
−6.57020 − 3.75115I 0
u = −0.871760 + 0.670108I
a = −1.49364 − 1.33520I
b = −2.31543 + 0.13900I
2.73154 + 11.80690I 0
u = −0.871760 − 0.670108I
a = −1.49364 + 1.33520I
b = −2.31543 − 0.13900I
2.73154 − 11.80690I 0
u = 0.026040 + 0.898962I
a = −1.35487 + 0.42745I
b = 0.011317 + 1.254750I
−3.84623 + 0.56310I 0
u = 0.026040 − 0.898962I
a = −1.35487 − 0.42745I
b = 0.011317 − 1.254750I
−3.84623 − 0.56310I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.864664 + 0.686181I
a = −1.45479 + 1.36848I
b = −2.30195 − 0.11899I
4.98326 − 6.60319I 0
u = 0.864664 − 0.686181I
a = −1.45479 − 1.36848I
b = −2.30195 + 0.11899I
4.98326 + 6.60319I 0
u = −0.850826 + 0.737880I
a = 1.261740 + 0.172476I
b = 1.46412 − 0.48516I
4.83005 + 5.88847I 0
u = −0.850826 − 0.737880I
a = 1.261740 − 0.172476I
b = 1.46412 + 0.48516I
4.83005 − 5.88847I 0
u = 0.854308 + 0.736997I
a = −1.30960 + 1.42441I
b = −2.23295 − 0.06543I
6.34337 − 3.89444I 0
u = 0.854308 − 0.736997I
a = −1.30960 − 1.42441I
b = −2.23295 + 0.06543I
6.34337 + 3.89444I 0
u = −0.181265 + 1.113750I
a = −0.706748 − 0.756843I
b = 0.170293 − 0.556044I
−2.14972 − 6.38550I 0
u = −0.181265 − 1.113750I
a = −0.706748 + 0.756843I
b = 0.170293 + 0.556044I
−2.14972 + 6.38550I 0
u = 0.841809 + 0.760377I
a = 1.306360 − 0.196562I
b = 1.51714 + 0.55395I
6.84731 − 0.71770I 0
u = 0.841809 − 0.760377I
a = 1.306360 + 0.196562I
b = 1.51714 − 0.55395I
6.84731 + 0.71770I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.676120 + 0.916879I
a = 2.43848 − 0.65220I
b = 2.43582 + 1.75520I
−2.75576 + 0.37527I 0
u = 0.676120 − 0.916879I
a = 2.43848 + 0.65220I
b = 2.43582 − 1.75520I
−2.75576 − 0.37527I 0
u = −0.845635 + 0.765410I
a = −1.22224 − 1.45135I
b = −2.18300 + 0.02983I
5.32733 − 1.21844I 0
u = −0.845635 − 0.765410I
a = −1.22224 + 1.45135I
b = −2.18300 − 0.02983I
5.32733 + 1.21844I 0
u = −0.461959 + 1.044150I
a = 0.223137 − 0.119182I
b = −0.732537 − 0.736053I
−0.478894 − 0.657716I 0
u = −0.461959 − 1.044150I
a = 0.223137 + 0.119182I
b = −0.732537 + 0.736053I
−0.478894 + 0.657716I 0
u = 0.693639 + 0.909576I
a = 0.193363 − 0.058251I
b = −0.577465 + 1.062100I
−0.08212 + 3.55372I 0
u = 0.693639 − 0.909576I
a = 0.193363 + 0.058251I
b = −0.577465 − 1.062100I
−0.08212 − 3.55372I 0
u = 0.168392 + 1.135500I
a = −0.708913 + 0.798541I
b = 0.230419 + 0.525876I
−4.41133 + 11.33980I 0
u = 0.168392 − 1.135500I
a = −0.708913 − 0.798541I
b = 0.230419 − 0.525876I
−4.41133 − 11.33980I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.638048 + 0.960706I
a = 0.180951 + 0.014452I
b = −0.638750 − 0.996248I
−4.00322 − 1.44759I 0
u = −0.638048 − 0.960706I
a = 0.180951 − 0.014452I
b = −0.638750 + 0.996248I
−4.00322 + 1.44759I 0
u = 0.540566 + 1.025900I
a = 0.191456 + 0.062867I
b = −0.715366 + 0.859306I
−4.17186 + 2.86985I 0
u = 0.540566 − 1.025900I
a = 0.191456 − 0.062867I
b = −0.715366 − 0.859306I
−4.17186 − 2.86985I 0
u = −0.699803 + 0.930419I
a = 2.16993 + 0.76694I
b = 2.45168 − 1.44491I
0.37777 − 4.85201I 0
u = −0.699803 − 0.930419I
a = 2.16993 − 0.76694I
b = 2.45168 + 1.44491I
0.37777 + 4.85201I 0
u = 0.832444 + 0.818924I
a = 1.40275 − 0.30782I
b = 1.71169 + 0.67772I
7.54796 + 2.04605I 0
u = 0.832444 − 0.818924I
a = 1.40275 + 0.30782I
b = 1.71169 − 0.67772I
7.54796 − 2.04605I 0
u = −0.705536 + 0.937868I
a = 0.205471 + 0.046417I
b = −0.609989 − 1.077930I
−2.08271 − 8.33515I 0
u = −0.705536 − 0.937868I
a = 0.205471 − 0.046417I
b = −0.609989 + 1.077930I
−2.08271 + 8.33515I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.685259 + 0.956395I
a = 2.22212 − 1.05324I
b = 2.74734 + 1.39961I
−3.36219 + 8.76415I 0
u = 0.685259 − 0.956395I
a = 2.22212 + 1.05324I
b = 2.74734 − 1.39961I
−3.36219 − 8.76415I 0
u = 0.484616 + 1.074600I
a = 0.232791 + 0.092293I
b = −0.782883 + 0.769243I
−2.48486 − 4.00622I 0
u = 0.484616 − 1.074600I
a = 0.232791 − 0.092293I
b = −0.782883 − 0.769243I
−2.48486 + 4.00622I 0
u = −0.829054 + 0.847083I
a = 1.44147 + 0.38054I
b = 1.82162 − 0.71939I
6.17057 − 7.18545I 0
u = −0.829054 − 0.847083I
a = 1.44147 − 0.38054I
b = 1.82162 + 0.71939I
6.17057 + 7.18545I 0
u = 0.768739 + 0.209948I
a = 0.617926 − 0.322861I
b = 0.095937 + 0.776814I
0.12317 + 8.45001I −2.28233 − 8.06437I
u = 0.768739 − 0.209948I
a = 0.617926 + 0.322861I
b = 0.095937 − 0.776814I
0.12317 − 8.45001I −2.28233 + 8.06437I
u = −0.730015 + 0.969514I
a = −0.52972 − 1.34051I
b = −1.46590 − 0.19585I
1.17851 − 4.34244I 0
u = −0.730015 − 0.969514I
a = −0.52972 + 1.34051I
b = −1.46590 + 0.19585I
1.17851 + 4.34244I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.798015 + 0.923550I
a = −0.74712 − 1.37409I
b = −1.72957 − 0.06860I
5.93008 + 1.11957I 0
u = −0.798015 − 0.923550I
a = −0.74712 + 1.37409I
b = −1.72957 + 0.06860I
5.93008 − 1.11957I 0
u = 0.786185 + 0.947127I
a = −0.68717 + 1.34227I
b = −1.64246 + 0.07053I
7.14895 + 3.99371I 0
u = 0.786185 − 0.947127I
a = −0.68717 − 1.34227I
b = −1.64246 − 0.07053I
7.14895 − 3.99371I 0
u = −0.738485 + 0.172014I
a = 0.660657 + 0.338783I
b = 0.102769 − 0.712483I
2.13287 − 3.50579I 1.21650 + 3.83192I
u = −0.738485 − 0.172014I
a = 0.660657 − 0.338783I
b = 0.102769 + 0.712483I
2.13287 + 3.50579I 1.21650 − 3.83192I
u = 0.231126 + 0.716714I
a = −0.721833 − 0.339395I
b = −0.401428 + 0.953330I
−2.30795 + 0.81433I −8.21026 + 1.09447I
u = 0.231126 − 0.716714I
a = −0.721833 + 0.339395I
b = −0.401428 − 0.953330I
−2.30795 − 0.81433I −8.21026 − 1.09447I
u = 0.764333 + 0.988730I
a = −0.599704 + 1.274690I
b = −1.48584 + 0.05708I
6.14132 + 6.71356I 0
u = 0.764333 − 0.988730I
a = −0.599704 − 1.274690I
b = −1.48584 − 0.05708I
6.14132 − 6.71356I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.769206 + 0.986480I
a = 1.60436 + 0.94967I
b = 2.48983 − 0.83752I
4.64360 − 4.80354I 0
u = −0.769206 − 0.986480I
a = 1.60436 − 0.94967I
b = 2.48983 + 0.83752I
4.64360 + 4.80354I 0
u = −0.726511 + 1.024300I
a = 1.63961 + 1.25436I
b = 2.76929 − 0.81489I
−1.01875 − 9.78161I 0
u = −0.726511 − 1.024300I
a = 1.63961 − 1.25436I
b = 2.76929 + 0.81489I
−1.01875 + 9.78161I 0
u = −0.759815 + 1.004580I
a = −0.581263 − 1.244870I
b = −1.43530 − 0.03633I
4.00721 − 11.89380I 0
u = −0.759815 − 1.004580I
a = −0.581263 + 1.244870I
b = −1.43530 + 0.03633I
4.00721 + 11.89380I 0
u = 0.762064 + 1.006710I
a = 1.57450 − 1.05010I
b = 2.57894 + 0.79504I
5.51171 + 9.91734I 0
u = 0.762064 − 1.006710I
a = 1.57450 + 1.05010I
b = 2.57894 − 0.79504I
5.51171 − 9.91734I 0
u = 0.744393 + 1.035660I
a = 1.52987 − 1.21436I
b = 2.71444 + 0.73036I
3.90897 + 12.59190I 0
u = 0.744393 − 1.035660I
a = 1.52987 + 1.21436I
b = 2.71444 − 0.73036I
3.90897 − 12.59190I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.740577 + 1.045390I
a = 1.50029 + 1.25885I
b = 2.74585 − 0.69836I
1.5783 − 17.8002I 0
u = −0.740577 − 1.045390I
a = 1.50029 − 1.25885I
b = 2.74585 + 0.69836I
1.5783 + 17.8002I 0
u = −0.404828 + 0.591987I
a = 0.879232 − 0.270418I
b = 0.067261 − 0.367460I
0.44130 − 1.44965I 1.24412 + 4.77904I
u = −0.404828 − 0.591987I
a = 0.879232 + 0.270418I
b = 0.067261 + 0.367460I
0.44130 + 1.44965I 1.24412 − 4.77904I
u = 0.712733 + 0.030064I
a = 0.819187 + 0.256273I
b = 0.269915 − 0.478438I
1.05289 + 3.41428I −0.14497 − 2.59163I
u = 0.712733 − 0.030064I
a = 0.819187 − 0.256273I
b = 0.269915 + 0.478438I
1.05289 − 3.41428I −0.14497 + 2.59163I
u = −0.703794 + 0.045782I
a = 0.779121 + 0.305557I
b = 0.187077 − 0.551290I
2.62952 − 1.36952I 2.63173 + 3.11648I
u = −0.703794 − 0.045782I
a = 0.779121 − 0.305557I
b = 0.187077 + 0.551290I
2.62952 + 1.36952I 2.63173 − 3.11648I
u = 0.627772 + 0.271576I
a = 0.580861 − 0.493039I
b = −0.089198 + 0.712756I
−2.24966 + 1.49423I −6.29073 − 2.74212I
u = 0.627772 − 0.271576I
a = 0.580861 + 0.493039I
b = −0.089198 − 0.712756I
−2.24966 − 1.49423I −6.29073 + 2.74212I
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.525644 + 0.298945I
a = 0.956728 + 0.184803I
b = 0.271060 − 0.021450I
−0.41672 − 2.12909I −0.54518 + 3.45050I
u = 0.525644 − 0.298945I
a = 0.956728 − 0.184803I
b = 0.271060 + 0.021450I
−0.41672 + 2.12909I −0.54518 − 3.45050I
u = 0.170670
a = 4.46871
b = −0.654711
−1.46207 −6.29150
u = 0.042009 + 0.160567I
a = −3.06976 + 5.72982I
b = −1.082500 − 0.321939I
−4.16729 − 3.61981I −10.16330 + 4.38456I
u = 0.042009 − 0.160567I
a = −3.06976 − 5.72982I
b = −1.082500 + 0.321939I
−4.16729 + 3.61981I −10.16330 − 4.38456I
16
II. I
u
2
= h−au + b − u + 1, a
4
+ 2a
2
u + 2u − 2, u
2
− u + 1i
(i) Arc colorings
a
4
=
0
u
a
12
=
1
0
a
11
=
1
u − 1
a
5
=
u
u − 1
a
10
=
u
u − 1
a
1
=
0
−u
a
8
=
a
au + u − 1
a
7
=
a
a + u − 1
a
3
=
a
2
u
a
2
u − a + u
a
9
=
a + u
au + 2u − 2
a
6
=
−a
−au − u + 1
a
2
=
2a
2
u + 2u − 2
−a
3
u + a
3
+ 2a
2
u − a
2
+ u − 2
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4a
2
u − 4a
2
− 4u − 12
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
2
− 2u + 2)
4
c
2
, c
6
(u
4
+ 2u
2
+ 2)
2
c
3
, c
7
(u
4
− 2u
2
+ 2)
2
c
4
, c
12
(u
2
+ u + 1)
4
c
5
, c
9
(u + 1)
8
c
8
(u − 1)
8
c
10
, c
11
(u
2
− u + 1)
4
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
2
+ 4)
4
c
2
, c
6
(y
2
+ 2y + 2)
4
c
3
, c
7
(y
2
− 2y + 2)
4
c
4
, c
10
, c
11
c
12
(y
2
+ y + 1)
4
c
5
, c
8
, c
9
(y −1)
8
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = 0.943461 − 0.723943I
b = 0.59868 + 1.32112I
−4.11234 + 5.69375I −10.00000 − 7.46410I
u = 0.500000 + 0.866025I
a = −0.943461 + 0.723943I
b = −1.59868 + 0.41094I
−4.11234 + 5.69375I −10.00000 − 7.46410I
u = 0.500000 + 0.866025I
a = 0.155223 − 1.179030I
b = 0.598684 + 0.410936I
−4.11234 − 1.63398I −10.00000 + 0.53590I
u = 0.500000 + 0.866025I
a = −0.155223 + 1.179030I
b = −1.59868 + 1.32112I
−4.11234 − 1.63398I −10.00000 + 0.53590I
u = 0.500000 − 0.866025I
a = 0.943461 + 0.723943I
b = 0.59868 − 1.32112I
−4.11234 − 5.69375I −10.00000 + 7.46410I
u = 0.500000 − 0.866025I
a = −0.943461 − 0.723943I
b = −1.59868 − 0.41094I
−4.11234 − 5.69375I −10.00000 + 7.46410I
u = 0.500000 − 0.866025I
a = 0.155223 + 1.179030I
b = 0.598684 − 0.410936I
−4.11234 + 1.63398I −10.00000 − 0.53590I
u = 0.500000 − 0.866025I
a = −0.155223 − 1.179030I
b = −1.59868 − 1.32112I
−4.11234 + 1.63398I −10.00000 − 0.53590I
20
III. I
u
3
= hau + b + u + 1, a
3
, u
2
+ u + 1i
(i) Arc colorings
a
4
=
0
u
a
12
=
1
0
a
11
=
1
−u − 1
a
5
=
u
u + 1
a
10
=
−u
−u − 1
a
1
=
0
u
a
8
=
a
−au − u − 1
a
7
=
a
a − u − 1
a
3
=
a
2
u
a
2
u + a + u
a
9
=
a − u
−au − 2u − 2
a
6
=
a
−au − u − 1
a
2
=
0
−a
2
+ u
(ii) Obstruction class = 1
(iii) Cusp Shapes = 2a
2
u + 2a
2
+ 4u − 4
21
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
3
c
6
, c
7
u
6
c
4
, c
10
(u
2
− u + 1)
3
c
5
(u − 1)
6
c
8
, c
9
(u + 1)
6
c
11
, c
12
(u
2
+ u + 1)
3
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
6
, c
7
y
6
c
4
, c
10
, c
11
c
12
(y
2
+ y + 1)
3
c
5
, c
8
, c
9
(y −1)
6
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = 0
b = −0.500000 − 0.866025I
−1.64493 − 2.02988I −6.00000 + 3.46410I
u = −0.500000 + 0.866025I
a = 0
b = −0.500000 − 0.866025I
−1.64493 − 2.02988I −6.00000 + 3.46410I
u = −0.500000 + 0.866025I
a = 0
b = −0.500000 − 0.866025I
−1.64493 − 2.02988I −6.00000 + 3.46410I
u = −0.500000 − 0.866025I
a = 0
b = −0.500000 + 0.866025I
−1.64493 + 2.02988I −6.00000 − 3.46410I
u = −0.500000 − 0.866025I
a = 0
b = −0.500000 + 0.866025I
−1.64493 + 2.02988I −6.00000 − 3.46410I
u = −0.500000 − 0.866025I
a = 0
b = −0.500000 + 0.866025I
−1.64493 + 2.02988I −6.00000 − 3.46410I
24
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
u
6
(u
2
− 2u + 2)
4
(u
115
+ 55u
114
+ ··· − 80u − 16)
c
2
, c
6
u
6
(u
4
+ 2u
2
+ 2)
2
(u
115
− u
114
+ ··· + 4u + 4)
c
3
u
6
(u
4
− 2u
2
+ 2)
2
(u
115
+ u
114
+ ··· + 22772u + 8452)
c
4
((u
2
− u + 1)
3
)(u
2
+ u + 1)
4
(u
115
− 2u
114
+ ··· + 10u + 1)
c
5
((u − 1)
6
)(u + 1)
8
(u
115
+ 3u
114
+ ··· + 25u + 13)
c
7
u
6
(u
4
− 2u
2
+ 2)
2
(u
115
− 5u
114
+ ··· + 185460u + 1006252)
c
8
((u − 1)
8
)(u + 1)
6
(u
115
+ 3u
114
+ ··· + 25u + 13)
c
9
((u + 1)
14
)(u
115
+ 55u
114
+ ··· + 2757u + 169)
c
10
((u
2
− u + 1)
7
)(u
115
+ 38u
114
+ ··· − 44u − 1)
c
11
((u
2
− u + 1)
4
)(u
2
+ u + 1)
3
(u
115
− 2u
114
+ ··· + 10u + 1)
c
12
((u
2
+ u + 1)
7
)(u
115
+ 38u
114
+ ··· − 44u − 1)
25
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
y
6
(y
2
+ 4)
4
(y
115
+ 15y
114
+ ··· − 5376y −256)
c
2
, c
6
y
6
(y
2
+ 2y + 2)
4
(y
115
+ 55y
114
+ ··· − 80y −16)
c
3
y
6
(y
2
− 2y + 2)
4
(y
115
− 25y
114
+ ··· + 3.32213 × 10
9
y −7.14363 × 10
7
)
c
4
, c
11
((y
2
+ y + 1)
7
)(y
115
+ 38y
114
+ ··· − 44y −1)
c
5
, c
8
((y −1)
14
)(y
115
− 55y
114
+ ··· + 2757y −169)
c
7
y
6
(y
2
− 2y + 2)
4
· (y
115
+ 35y
114
+ ··· − 28479719212304y −1012543087504)
c
9
((y −1)
14
)(y
115
+ 25y
114
+ ··· − 632631y −28561)
c
10
, c
12
((y
2
+ y + 1)
7
)(y
115
+ 86y
114
+ ··· + 2540y −1)
26
