12a
0340
(K12a
0340
)
A knot diagram
1
Linearized knot diagam
3 6 8 12 11 2 10 1 5 7 9 4
Solving Sequence
2,7
6 3
1,11
5 10 8 4 9 12
c
6
c
2
c
1
c
5
c
10
c
7
c
3
c
9
c
12
c
4
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.35682 × 10
503
u
162
− 8.90173 × 10
503
u
161
+ ··· + 1.08040 × 10
506
b + 6.42181 × 10
506
,
− 8.28542 × 10
505
u
162
− 7.31773 × 10
506
u
161
+ ··· + 1.17763 × 10
508
a + 4.11103 × 10
508
,
u
163
+ 4u
162
+ ··· + 73u − 109i
I
u
2
= h28846567470000u
39
− 21174510825107u
38
+ ··· + 11831056821673b + 43311892487392,
23969403847720u
39
− 42006034439539u
38
+ ··· + 11831056821673a − 86215642180566,
u
40
− u
39
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 203 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
= h1.36 × 10
503
u
162
− 8.90 × 10
503
u
161
+ · · · + 1.08 × 10
506
b + 6.42 ×
10
506
, −8.29 × 10
505
u
162
− 7.32 × 10
506
u
161
+ · · · + 1.18 × 10
508
a + 4.11 ×
10
508
, u
163
+ 4u
162
+ · · · + 73u − 109i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
0.00703565u
162
+ 0.0621392u
161
+ ··· + 8.36849u − 3.49093
−0.00125585u
162
+ 0.00823930u
161
+ ··· + 18.3312u − 5.94392
a
5
=
0.211176u
162
+ 0.734073u
161
+ ··· − 11.5269u − 9.28364
0.0933172u
162
+ 0.256634u
161
+ ··· − 20.4531u + 4.47456
a
10
=
0.00577979u
162
+ 0.0703785u
161
+ ··· + 26.6996u − 9.43485
−0.00125585u
162
+ 0.00823930u
161
+ ··· + 18.3312u − 5.94392
a
8
=
−0.186463u
162
− 0.638799u
161
+ ··· + 21.5555u + 5.44337
−0.0664678u
162
− 0.237243u
161
+ ··· + 1.64874u + 4.07360
a
4
=
−0.214251u
162
− 0.704218u
161
+ ··· + 15.0417u + 11.7756
−0.0874949u
162
− 0.213715u
161
+ ··· + 8.22935u − 1.54392
a
9
=
−0.179915u
162
− 0.586365u
161
+ ··· + 30.6123u + 0.340272
−0.0454328u
162
− 0.156545u
161
+ ··· + 4.15630u + 2.20059
a
12
=
−0.0153072u
162
− 0.102565u
161
+ ··· + 4.12738u + 0.636121
−0.115629u
162
− 0.461960u
161
+ ··· − 12.1705u + 16.2953
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.0476870u
162
+ 0.256756u
161
+ ··· + 95.4634u − 41.7867
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
163
+ 60u
162
+ ··· − 210273u − 11881
c
2
, c
6
u
163
− 4u
162
+ ··· + 73u + 109
c
3
u
163
− u
162
+ ··· + 145270u + 8171
c
4
, c
12
u
163
+ 5u
162
+ ··· + 44u + 1
c
5
u
163
+ u
162
+ ··· − 8899288561u + 823046069
c
7
, c
10
u
163
+ 13u
162
+ ··· + 1378020u + 540971
c
8
u
163
+ 3u
162
+ ··· + 7u + 5
c
9
u
163
+ u
162
+ ··· − 105758u + 23671
c
11
u
163
− 15u
162
+ ··· − 22u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
163
+ 84y
162
+ ··· + 3549326923y −141158161
c
2
, c
6
y
163
+ 60y
162
+ ··· − 210273y −11881
c
3
y
163
− y
162
+ ··· + 12294021696y −66765241
c
4
, c
12
y
163
+ 113y
162
+ ··· − 210y −1
c
5
y
163
+ 55y
162
+ ··· − 2.46 × 10
19
y −6.77 × 10
17
c
7
, c
10
y
163
+ 99y
162
+ ··· − 12041923581454y −292649622841
c
8
y
163
− 9y
162
+ ··· − 101y −25
c
9
y
163
− 21y
162
+ ··· − 12180652826y −560316241
c
11
y
163
− 21y
162
+ ··· − 582y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.737177 + 0.672690I
a = 0.188393 + 0.490017I
b = −0.018997 + 1.229980I
4.32642 − 1.51971I 0
u = −0.737177 − 0.672690I
a = 0.188393 − 0.490017I
b = −0.018997 − 1.229980I
4.32642 + 1.51971I 0
u = −0.773762 + 0.622329I
a = 0.755835 − 0.877060I
b = −1.187700 − 0.047365I
−1.68394 + 7.81482I 0
u = −0.773762 − 0.622329I
a = 0.755835 + 0.877060I
b = −1.187700 + 0.047365I
−1.68394 − 7.81482I 0
u = 0.761824 + 0.627353I
a = 0.166849 + 0.232368I
b = 0.41547 + 1.42306I
4.46320 − 3.42171I 0
u = 0.761824 − 0.627353I
a = 0.166849 − 0.232368I
b = 0.41547 − 1.42306I
4.46320 + 3.42171I 0
u = 0.125338 + 0.977447I
a = −1.70641 + 0.98331I
b = 0.796773 − 1.071810I
−4.93492 + 4.73162I 0
u = 0.125338 − 0.977447I
a = −1.70641 − 0.98331I
b = 0.796773 + 1.071810I
−4.93492 − 4.73162I 0
u = 0.765257 + 0.618010I
a = 0.758134 + 0.658229I
b = −0.936000 − 0.028837I
3.19618 − 2.91148I 0
u = 0.765257 − 0.618010I
a = 0.758134 − 0.658229I
b = −0.936000 + 0.028837I
3.19618 + 2.91148I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.799004 + 0.628588I
a = −0.610516 − 1.210250I
b = 0.029842 − 0.438744I
−2.13733 + 5.89990I 0
u = 0.799004 − 0.628588I
a = −0.610516 + 1.210250I
b = 0.029842 + 0.438744I
−2.13733 − 5.89990I 0
u = 0.713734 + 0.734636I
a = −0.038240 + 0.616949I
b = 0.34564 + 1.44457I
4.13318 − 4.45862I 0
u = 0.713734 − 0.734636I
a = −0.038240 − 0.616949I
b = 0.34564 − 1.44457I
4.13318 + 4.45862I 0
u = −0.542572 + 0.875917I
a = −1.38512 + 1.23072I
b = 1.63597 − 0.13448I
−4.84009 − 2.16620I 0
u = −0.542572 − 0.875917I
a = −1.38512 − 1.23072I
b = 1.63597 + 0.13448I
−4.84009 + 2.16620I 0
u = −0.627969 + 0.737085I
a = −0.730563 − 0.393803I
b = 0.343373 − 1.268240I
5.02081 + 0.69402I 0
u = −0.627969 − 0.737085I
a = −0.730563 + 0.393803I
b = 0.343373 + 1.268240I
5.02081 − 0.69402I 0
u = −0.360592 + 0.977806I
a = −1.19812 + 0.96595I
b = 1.050100 + 0.472458I
−5.59574 − 2.61293I 0
u = −0.360592 − 0.977806I
a = −1.19812 − 0.96595I
b = 1.050100 − 0.472458I
−5.59574 + 2.61293I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.637454 + 0.700642I
a = −1.32904 − 1.95787I
b = −0.092471 − 0.926512I
−1.87260 − 5.33924I 0
u = 0.637454 − 0.700642I
a = −1.32904 + 1.95787I
b = −0.092471 + 0.926512I
−1.87260 + 5.33924I 0
u = −0.605987 + 0.726741I
a = −0.96583 + 1.33607I
b = 0.532594 − 0.394861I
2.06508 − 1.75923I 0
u = −0.605987 − 0.726741I
a = −0.96583 − 1.33607I
b = 0.532594 + 0.394861I
2.06508 + 1.75923I 0
u = 0.599456 + 0.870335I
a = −0.98771 − 1.08348I
b = 1.333970 + 0.123807I
−1.15230 + 2.36062I 0
u = 0.599456 − 0.870335I
a = −0.98771 + 1.08348I
b = 1.333970 − 0.123807I
−1.15230 − 2.36062I 0
u = −0.207372 + 0.919972I
a = 0.13536 + 2.54036I
b = 0.079235 − 0.936251I
1.80039 + 0.58580I 0
u = −0.207372 − 0.919972I
a = 0.13536 − 2.54036I
b = 0.079235 + 0.936251I
1.80039 − 0.58580I 0
u = 0.123152 + 1.051200I
a = 1.73988 + 0.33616I
b = −0.583121 − 0.906648I
−5.86160 − 4.61509I 0
u = 0.123152 − 1.051200I
a = 1.73988 − 0.33616I
b = −0.583121 + 0.906648I
−5.86160 + 4.61509I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.247135 + 0.907157I
a = −1.65959 − 0.50518I
b = 0.838175 − 0.528571I
−2.92350 + 1.94937I 0
u = 0.247135 − 0.907157I
a = −1.65959 + 0.50518I
b = 0.838175 + 0.528571I
−2.92350 − 1.94937I 0
u = −0.637988 + 0.683262I
a = 0.826552 − 0.274448I
b = −0.426336 + 0.110761I
0.84628 − 1.95045I 0
u = −0.637988 − 0.683262I
a = 0.826552 + 0.274448I
b = −0.426336 − 0.110761I
0.84628 + 1.95045I 0
u = 0.535630 + 0.759319I
a = −0.76849 − 1.24537I
b = 1.006010 + 0.925044I
−2.49998 − 1.45816I 0
u = 0.535630 − 0.759319I
a = −0.76849 + 1.24537I
b = 1.006010 − 0.925044I
−2.49998 + 1.45816I 0
u = −0.113931 + 0.919969I
a = −2.27056 − 0.03742I
b = 1.125860 + 0.474072I
−6.82947 − 1.93658I 0
u = −0.113931 − 0.919969I
a = −2.27056 + 0.03742I
b = 1.125860 − 0.474072I
−6.82947 + 1.93658I 0
u = −0.797929 + 0.718207I
a = 0.371911 − 0.348237I
b = 0.53034 − 1.40342I
1.19927 + 4.16817I 0
u = −0.797929 − 0.718207I
a = 0.371911 + 0.348237I
b = 0.53034 + 1.40342I
1.19927 − 4.16817I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.502181 + 0.774985I
a = −1.20034 − 1.29219I
b = 0.511641 − 1.064010I
−2.53007 + 4.36535I 0
u = 0.502181 − 0.774985I
a = −1.20034 + 1.29219I
b = 0.511641 + 1.064010I
−2.53007 − 4.36535I 0
u = −0.628876 + 0.874110I
a = −0.74185 + 1.33998I
b = 1.55148 − 0.10467I
−4.27946 − 2.45509I 0
u = −0.628876 − 0.874110I
a = −0.74185 − 1.33998I
b = 1.55148 + 0.10467I
−4.27946 + 2.45509I 0
u = −0.676392 + 0.839132I
a = −0.568949 − 0.064697I
b = −0.23951 + 1.67204I
3.83841 − 6.99014I 0
u = −0.676392 − 0.839132I
a = −0.568949 + 0.064697I
b = −0.23951 − 1.67204I
3.83841 + 6.99014I 0
u = 0.810579 + 0.731532I
a = 0.338309 − 0.327463I
b = 0.050499 − 1.085990I
3.44471 + 2.95252I 0
u = 0.810579 − 0.731532I
a = 0.338309 + 0.327463I
b = 0.050499 + 1.085990I
3.44471 − 2.95252I 0
u = 0.035799 + 1.091360I
a = 1.63808 − 0.15097I
b = −0.855663 − 0.498810I
−7.48042 + 7.05234I 0
u = 0.035799 − 1.091360I
a = 1.63808 + 0.15097I
b = −0.855663 + 0.498810I
−7.48042 − 7.05234I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.271253 + 1.059440I
a = −0.228947 − 0.928394I
b = 0.581434 + 0.177533I
−4.98323 + 0.09384I 0
u = 0.271253 − 1.059440I
a = −0.228947 + 0.928394I
b = 0.581434 − 0.177533I
−4.98323 − 0.09384I 0
u = 0.940279 + 0.562831I
a = 0.237862 + 0.224241I
b = 0.23689 + 1.41761I
5.25066 − 4.67426I 0
u = 0.940279 − 0.562831I
a = 0.237862 − 0.224241I
b = 0.23689 − 1.41761I
5.25066 + 4.67426I 0
u = −0.020961 + 1.095780I
a = 1.396920 + 0.030088I
b = −0.551478 + 0.503297I
−2.49205 − 2.11402I 0
u = −0.020961 − 1.095780I
a = 1.396920 − 0.030088I
b = −0.551478 − 0.503297I
−2.49205 + 2.11402I 0
u = −0.567016 + 0.699777I
a = −0.95970 + 2.07896I
b = 0.077535 + 0.957689I
1.86386 − 0.23262I 0
u = −0.567016 − 0.699777I
a = −0.95970 − 2.07896I
b = 0.077535 − 0.957689I
1.86386 + 0.23262I 0
u = 0.723463 + 0.835058I
a = −0.215596 + 0.128864I
b = −0.38142 − 1.43893I
7.17847 + 3.10939I 0
u = 0.723463 − 0.835058I
a = −0.215596 − 0.128864I
b = −0.38142 + 1.43893I
7.17847 − 3.10939I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.682655 + 0.872477I
a = 1.89680 − 0.15209I
b = −0.37194 − 1.52003I
3.73600 + 1.74776I 0
u = −0.682655 − 0.872477I
a = 1.89680 + 0.15209I
b = −0.37194 + 1.52003I
3.73600 − 1.74776I 0
u = −0.088101 + 1.107340I
a = −0.672055 − 0.992258I
b = 0.405563 + 0.942170I
−1.46868 − 2.67721I 0
u = −0.088101 − 1.107340I
a = −0.672055 + 0.992258I
b = 0.405563 − 0.942170I
−1.46868 + 2.67721I 0
u = 0.066923 + 0.879106I
a = −0.80389 − 2.49675I
b = 0.147313 + 1.170380I
−0.26430 − 5.08731I 0
u = 0.066923 − 0.879106I
a = −0.80389 + 2.49675I
b = 0.147313 − 1.170380I
−0.26430 + 5.08731I 0
u = 0.569701 + 0.967369I
a = −1.74310 − 0.17703I
b = 1.107210 − 0.652959I
−3.22509 + 5.90578I 0
u = 0.569701 − 0.967369I
a = −1.74310 + 0.17703I
b = 1.107210 + 0.652959I
−3.22509 − 5.90578I 0
u = 0.675375 + 0.897618I
a = −0.098617 − 0.421275I
b = 0.893487 + 0.580170I
−2.19060 − 0.19871I 0
u = 0.675375 − 0.897618I
a = −0.098617 + 0.421275I
b = 0.893487 − 0.580170I
−2.19060 + 0.19871I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.751134 + 0.844860I
a = −0.98804 − 1.02839I
b = 0.719278 − 0.574531I
−2.00134 + 5.61968I 0
u = 0.751134 − 0.844860I
a = −0.98804 + 1.02839I
b = 0.719278 + 0.574531I
−2.00134 − 5.61968I 0
u = 0.719566 + 0.882192I
a = 1.79435 + 0.30010I
b = −0.52172 + 1.31956I
7.03596 + 2.38902I 0
u = 0.719566 − 0.882192I
a = 1.79435 − 0.30010I
b = −0.52172 − 1.31956I
7.03596 − 2.38902I 0
u = −0.621205 + 0.956499I
a = −2.55783 − 0.02798I
b = 0.416985 + 1.143270I
4.32697 − 5.61210I 0
u = −0.621205 − 0.956499I
a = −2.55783 + 0.02798I
b = 0.416985 − 1.143270I
4.32697 + 5.61210I 0
u = −0.623553 + 0.963691I
a = −0.845073 − 0.073771I
b = 0.685800 + 0.066986I
1.30802 − 3.12224I 0
u = −0.623553 − 0.963691I
a = −0.845073 + 0.073771I
b = 0.685800 − 0.066986I
1.30802 + 3.12224I 0
u = 1.130560 + 0.232791I
a = 0.162263 + 0.125423I
b = −0.244044 + 1.091950I
0.12719 + 7.80909I 0
u = 1.130560 − 0.232791I
a = 0.162263 − 0.125423I
b = −0.244044 − 1.091950I
0.12719 − 7.80909I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.081580 + 0.403171I
a = 0.410046 + 0.235479I
b = −0.281290 + 1.073010I
4.04054 + 0.58078I 0
u = −1.081580 − 0.403171I
a = 0.410046 − 0.235479I
b = −0.281290 − 1.073010I
4.04054 − 0.58078I 0
u = −0.979380 + 0.612245I
a = 0.139944 + 0.120884I
b = −0.56712 + 1.35968I
2.46970 + 13.90880I 0
u = −0.979380 − 0.612245I
a = 0.139944 − 0.120884I
b = −0.56712 − 1.35968I
2.46970 − 13.90880I 0
u = 0.997427 + 0.601743I
a = 0.217276 − 0.143993I
b = −0.485163 − 1.293900I
7.22042 − 7.96026I 0
u = 0.997427 − 0.601743I
a = 0.217276 + 0.143993I
b = −0.485163 + 1.293900I
7.22042 + 7.96026I 0
u = 0.634713 + 0.979528I
a = 1.14021 + 1.38209I
b = −0.229322 + 1.090460I
−2.74211 + 10.34760I 0
u = 0.634713 − 0.979528I
a = 1.14021 − 1.38209I
b = −0.229322 − 1.090460I
−2.74211 − 10.34760I 0
u = −0.607341 + 0.996858I
a = 1.46982 − 0.96179I
b = −0.170038 − 1.042970I
0.87593 − 4.49049I 0
u = −0.607341 − 0.996858I
a = 1.46982 + 0.96179I
b = −0.170038 + 1.042970I
0.87593 + 4.49049I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.673420 + 0.964478I
a = −2.27082 − 0.43114I
b = 0.42766 − 1.38514I
3.42449 + 9.79259I 0
u = 0.673420 − 0.964478I
a = −2.27082 + 0.43114I
b = 0.42766 + 1.38514I
3.42449 − 9.79259I 0
u = −0.453423 + 1.090630I
a = 0.423730 − 0.821511I
b = −0.223666 + 0.563018I
−0.54692 − 2.73661I 0
u = −0.453423 − 1.090630I
a = 0.423730 + 0.821511I
b = −0.223666 − 0.563018I
−0.54692 + 2.73661I 0
u = −0.140307 + 1.173830I
a = −0.17051 + 1.46582I
b = 0.538408 − 1.086160I
−3.60731 + 2.94413I 0
u = −0.140307 − 1.173830I
a = −0.17051 − 1.46582I
b = 0.538408 + 1.086160I
−3.60731 − 2.94413I 0
u = 0.334745 + 0.745701I
a = 1.065550 − 0.020893I
b = 0.358904 + 0.529189I
−2.81644 − 0.70045I 0
u = 0.334745 − 0.745701I
a = 1.065550 + 0.020893I
b = 0.358904 − 0.529189I
−2.81644 + 0.70045I 0
u = −0.658342 + 0.467121I
a = 0.337671 − 0.002527I
b = 0.48244 − 1.48183I
1.28400 + 5.11899I 0
u = −0.658342 − 0.467121I
a = 0.337671 + 0.002527I
b = 0.48244 + 1.48183I
1.28400 − 5.11899I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.768683 + 0.235834I
a = 0.353523 − 0.345262I
b = −0.291793 + 0.707150I
−1.84228 − 3.41319I 0
u = 0.768683 − 0.235834I
a = 0.353523 + 0.345262I
b = −0.291793 − 0.707150I
−1.84228 + 3.41319I 0
u = −0.868271 + 0.828094I
a = 0.270637 − 0.209403I
b = −0.580934 + 1.051790I
1.94343 − 0.52594I 0
u = −0.868271 − 0.828094I
a = 0.270637 + 0.209403I
b = −0.580934 − 1.051790I
1.94343 + 0.52594I 0
u = 0.227264 + 1.184250I
a = 1.30448 − 0.85532I
b = −0.497984 + 0.712236I
−6.38789 − 0.20364I 0
u = 0.227264 − 1.184250I
a = 1.30448 + 0.85532I
b = −0.497984 − 0.712236I
−6.38789 + 0.20364I 0
u = −0.589969 + 1.057680I
a = 0.821684 − 0.551696I
b = −0.567312 + 0.387034I
−0.30755 − 2.79696I 0
u = −0.589969 − 1.057680I
a = 0.821684 + 0.551696I
b = −0.567312 − 0.387034I
−0.30755 + 2.79696I 0
u = −0.701521 + 0.992572I
a = 1.67853 − 0.11121I
b = −0.135224 − 1.112230I
3.39047 − 3.98558I 0
u = −0.701521 − 0.992572I
a = 1.67853 + 0.11121I
b = −0.135224 + 1.112230I
3.39047 + 3.98558I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.612582 + 1.059510I
a = 0.851652 + 0.605864I
b = −0.160313 + 0.884952I
−3.73677 − 0.43403I 0
u = 0.612582 − 1.059510I
a = 0.851652 − 0.605864I
b = −0.160313 − 0.884952I
−3.73677 + 0.43403I 0
u = −0.625688 + 1.055240I
a = −1.99645 − 0.05893I
b = 0.72320 + 1.48361I
−0.33729 − 10.18220I 0
u = −0.625688 − 1.055240I
a = −1.99645 + 0.05893I
b = 0.72320 − 1.48361I
−0.33729 + 10.18220I 0
u = −0.723224 + 0.994300I
a = −1.77494 + 0.62151I
b = 0.65183 + 1.45232I
0.35599 − 9.90168I 0
u = −0.723224 − 0.994300I
a = −1.77494 − 0.62151I
b = 0.65183 − 1.45232I
0.35599 + 9.90168I 0
u = 0.684844 + 1.021900I
a = −1.89498 − 0.24214I
b = 0.56261 − 1.41652I
3.29542 + 8.92481I 0
u = 0.684844 − 1.021900I
a = −1.89498 + 0.24214I
b = 0.56261 + 1.41652I
3.29542 − 8.92481I 0
u = 0.677863 + 1.028200I
a = 1.030690 + 0.749647I
b = −1.074910 − 0.144065I
1.97376 + 8.39667I 0
u = 0.677863 − 1.028200I
a = 1.030690 − 0.749647I
b = −1.074910 + 0.144065I
1.97376 − 8.39667I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.744902 + 0.980903I
a = 1.55460 + 0.03420I
b = −0.025008 + 0.924632I
2.69438 + 2.88091I 0
u = 0.744902 − 0.980903I
a = 1.55460 − 0.03420I
b = −0.025008 − 0.924632I
2.69438 − 2.88091I 0
u = −0.836701 + 0.905082I
a = 1.54958 − 0.43857I
b = −0.711146 − 0.994392I
1.70384 − 5.74585I 0
u = −0.836701 − 0.905082I
a = 1.54958 + 0.43857I
b = −0.711146 + 0.994392I
1.70384 + 5.74585I 0
u = −0.682591 + 1.030050I
a = 1.033760 − 0.908073I
b = −1.319480 + 0.201069I
−2.90298 − 13.34080I 0
u = −0.682591 − 1.030050I
a = 1.033760 + 0.908073I
b = −1.319480 − 0.201069I
−2.90298 + 13.34080I 0
u = 0.537225 + 1.130530I
a = −0.179491 + 1.061450I
b = −0.241847 − 0.580004I
−4.42811 + 8.23233I 0
u = 0.537225 − 1.130530I
a = −0.179491 − 1.061450I
b = −0.241847 + 0.580004I
−4.42811 − 8.23233I 0
u = 0.006078 + 1.252020I
a = −0.153447 − 1.096650I
b = 0.271384 + 1.092030I
−1.71451 − 2.55715I 0
u = 0.006078 − 1.252020I
a = −0.153447 + 1.096650I
b = 0.271384 − 1.092030I
−1.71451 + 2.55715I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.059250 + 0.695049I
a = 0.219298 − 0.177254I
b = 0.177113 − 1.215690I
6.68267 − 0.01770I 0
u = −1.059250 − 0.695049I
a = 0.219298 + 0.177254I
b = 0.177113 + 1.215690I
6.68267 + 0.01770I 0
u = −1.266720 + 0.147665I
a = 0.269207 + 0.300737I
b = −0.170713 + 0.961316I
3.97613 + 0.80417I 0
u = −1.266720 − 0.147665I
a = 0.269207 − 0.300737I
b = −0.170713 − 0.961316I
3.97613 − 0.80417I 0
u = 0.195619 + 1.302530I
a = 1.09120 − 0.90160I
b = −0.520564 + 1.082710I
−5.59222 + 12.12200I 0
u = 0.195619 − 1.302530I
a = 1.09120 + 0.90160I
b = −0.520564 − 1.082710I
−5.59222 − 12.12200I 0
u = 0.724593 + 1.113450I
a = −1.46774 + 0.06955I
b = 0.37189 − 1.47140I
3.55626 + 10.77990I 0
u = 0.724593 − 1.113450I
a = −1.46774 − 0.06955I
b = 0.37189 + 1.47140I
3.55626 − 10.77990I 0
u = −0.237147 + 1.312700I
a = 1.098640 + 0.724277I
b = −0.414909 − 0.988555I
−1.08413 − 6.03148I 0
u = −0.237147 − 1.312700I
a = 1.098640 − 0.724277I
b = −0.414909 + 0.988555I
−1.08413 + 6.03148I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.752305 + 1.110980I
a = 1.83368 − 0.23005I
b = −0.66071 − 1.38026I
0.9027 − 20.2267I 0
u = −0.752305 − 1.110980I
a = 1.83368 + 0.23005I
b = −0.66071 + 1.38026I
0.9027 + 20.2267I 0
u = 0.752212 + 1.119300I
a = 1.79077 + 0.18910I
b = −0.58916 + 1.30732I
5.5887 + 14.3193I 0
u = 0.752212 − 1.119300I
a = 1.79077 − 0.18910I
b = −0.58916 − 1.30732I
5.5887 − 14.3193I 0
u = −0.809545 + 1.095760I
a = −1.172370 + 0.142078I
b = 0.330166 + 1.260610I
5.36636 − 6.69773I 0
u = −0.809545 − 1.095760I
a = −1.172370 − 0.142078I
b = 0.330166 − 1.260610I
5.36636 + 6.69773I 0
u = −0.77622 + 1.19345I
a = 1.62602 − 0.10330I
b = −0.525232 − 1.087030I
1.68565 − 7.24395I 0
u = −0.77622 − 1.19345I
a = 1.62602 + 0.10330I
b = −0.525232 + 1.087030I
1.68565 + 7.24395I 0
u = −0.504684 + 0.263849I
a = 1.60481 + 0.89969I
b = −0.258709 − 0.455007I
1.89204 − 1.07820I 1.91650 + 6.25990I
u = −0.504684 − 0.263849I
a = 1.60481 − 0.89969I
b = −0.258709 + 0.455007I
1.89204 + 1.07820I 1.91650 − 6.25990I
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.45197 + 1.37473I
a = −0.265193 + 0.632005I
b = −0.087652 − 0.907972I
−3.90255 − 1.79764I 0
u = 0.45197 − 1.37473I
a = −0.265193 − 0.632005I
b = −0.087652 + 0.907972I
−3.90255 + 1.79764I 0
u = 0.540144 + 0.005775I
a = 0.849499 − 0.047311I
b = 0.423549 − 0.786085I
−1.87427 + 2.65853I −3.35625 − 4.28824I
u = 0.540144 − 0.005775I
a = 0.849499 + 0.047311I
b = 0.423549 + 0.786085I
−1.87427 − 2.65853I −3.35625 + 4.28824I
u = −0.423031 + 0.261415I
a = 1.003080 + 0.042741I
b = 0.787846 + 0.035263I
−3.69509 − 0.61243I −7.33011 + 1.77658I
u = −0.423031 − 0.261415I
a = 1.003080 − 0.042741I
b = 0.787846 − 0.035263I
−3.69509 + 0.61243I −7.33011 − 1.77658I
u = −0.202920 + 0.424221I
a = 1.018060 + 0.296028I
b = 0.25299 − 1.50437I
1.36939 + 4.92077I −8.24840 − 0.64213I
u = −0.202920 − 0.424221I
a = 1.018060 − 0.296028I
b = 0.25299 + 1.50437I
1.36939 − 4.92077I −8.24840 + 0.64213I
u = −0.174393 + 0.337951I
a = 1.149320 + 0.107155I
b = 0.102744 + 1.299720I
3.60683 − 2.03887I −6.33893 + 7.14671I
u = −0.174393 − 0.337951I
a = 1.149320 − 0.107155I
b = 0.102744 − 1.299720I
3.60683 + 2.03887I −6.33893 − 7.14671I
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.271115 + 0.217300I
a = 4.04364 − 3.54157I
b = −0.481397 + 0.422709I
−2.91123 + 6.23612I −8.81265 − 10.44427I
u = 0.271115 − 0.217300I
a = 4.04364 + 3.54157I
b = −0.481397 − 0.422709I
−2.91123 − 6.23612I −8.81265 + 10.44427I
u = 0.256761
a = 0.988138
b = 0.541618
−0.893682 −10.8990
21
II.
I
u
2
= h2.88 × 10
13
u
39
− 2.12 × 10
13
u
38
+ · · · + 1.18 × 10
13
b + 4.33 × 10
13
, 2.40 ×
10
13
u
39
−4.20×10
13
u
38
+· · ·+1.18×10
13
a−8.62×10
13
, u
40
−u
39
+· · ·+u+1i
(i) Arc colorings
a
2
=
0
u
a
7
=
1
0
a
6
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
−2.02597u
39
+ 3.55049u
38
+ ··· − 6.11112u + 7.28723
−2.43821u
39
+ 1.78974u
38
+ ··· − 4.57667u − 3.66086
a
5
=
7.03611u
39
− 14.1343u
38
+ ··· − 2.19812u − 16.0768
−2.21185u
39
+ 3.18343u
38
+ ··· + 2.49832u + 3.12356
a
10
=
−4.46418u
39
+ 5.34023u
38
+ ··· − 10.6878u + 3.62637
−2.43821u
39
+ 1.78974u
38
+ ··· − 4.57667u − 3.66086
a
8
=
6.83747u
39
− 10.5532u
38
+ ··· + 1.11918u + 0.335121
−2.37574u
39
+ 1.53895u
38
+ ··· − 8.83262u − 0.244655
a
4
=
8.29568u
39
− 6.95298u
38
+ ··· + 2.57690u + 3.48765
−2.92502u
39
+ 1.71887u
38
+ ··· − 4.44340u − 4.50206
a
9
=
10.7578u
39
− 15.8278u
38
+ ··· + 3.32431u − 2.77262
−6.67141u
39
+ 7.54272u
38
+ ··· − 11.2727u + 1.29801
a
12
=
−7.79542u
39
+ 11.5996u
38
+ ··· − 8.34697u + 2.96689
1.26795u
39
− 3.60279u
38
+ ··· − 3.86847u + 2.23766
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
155060361233628
11831056821673
u
39
+
46766511459853
11831056821673
u
38
+ ··· −
262259642373794
11831056821673
u −
421984096898837
11831056821673
22
(iv) u-Polynomials at the component
23
Crossings u-Polynomials at each crossing
c
1
u
40
− 17u
39
+ ··· − 15u + 1
c
2
u
40
+ u
39
+ ··· − u + 1
c
3
u
40
+ 4u
38
+ ··· + 24u + 5
c
4
u
40
− 2u
39
+ ··· − 6u + 1
c
5
u
40
+ 2u
38
+ ··· + 43u + 5
c
6
u
40
− u
39
+ ··· + u + 1
c
7
u
40
− 14u
39
+ ··· − 6u + 1
c
8
u
40
+ 2u
39
+ ··· + 5u + 1
c
9
u
40
+ 2u
39
+ ··· − 4u + 1
c
10
u
40
+ 14u
39
+ ··· + 6u + 1
c
11
u
40
+ 6u
39
+ ··· + 4u + 1
c
12
u
40
+ 2u
39
+ ··· + 6u + 1
24
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
40
+ 9y
39
+ ··· + 35y + 1
c
2
, c
6
y
40
+ 17y
39
+ ··· + 15y + 1
c
3
y
40
+ 8y
39
+ ··· + 454y + 25
c
4
, c
12
y
40
+ 26y
39
+ ··· + 48y + 1
c
5
y
40
+ 4y
39
+ ··· + 231y + 25
c
7
, c
10
y
40
+ 20y
39
+ ··· + 32y + 1
c
8
y
40
− 12y
39
+ ··· + 11y + 1
c
9
y
40
− 4y
39
+ ··· + 24y + 1
c
11
y
40
− 20y
39
+ ··· + 8y + 1
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.734199 + 0.719252I
a = 0.372663 − 0.237262I
b = −0.071086 − 1.144680I
5.09677 + 2.20426I 3.87068 − 3.68363I
u = 0.734199 − 0.719252I
a = 0.372663 + 0.237262I
b = −0.071086 + 1.144680I
5.09677 − 2.20426I 3.87068 + 3.68363I
u = −0.696705 + 0.675776I
a = 0.471077 − 0.481044I
b = 0.32121 − 1.56546I
2.91719 + 4.61537I −3.06231 − 4.03876I
u = −0.696705 − 0.675776I
a = 0.471077 + 0.481044I
b = 0.32121 + 1.56546I
2.91719 − 4.61537I −3.06231 + 4.03876I
u = 0.102661 + 0.951725I
a = −0.37416 − 1.66989I
b = 0.731886 + 0.864197I
−4.35448 − 2.29863I −12.94450 + 2.66099I
u = 0.102661 − 0.951725I
a = −0.37416 + 1.66989I
b = 0.731886 − 0.864197I
−4.35448 + 2.29863I −12.94450 − 2.66099I
u = 0.553143 + 0.886090I
a = −0.944313 − 0.921785I
b = 1.091620 + 0.100262I
−1.51875 + 2.20264I −10.91711 + 0.11266I
u = 0.553143 − 0.886090I
a = −0.944313 + 0.921785I
b = 1.091620 − 0.100262I
−1.51875 − 2.20264I −10.91711 − 0.11266I
u = −0.790744 + 0.531063I
a = 0.31265 − 1.67167I
b = −0.234660 − 0.684231I
−1.82576 − 6.45440I −0.55010 + 12.51728I
u = −0.790744 − 0.531063I
a = 0.31265 + 1.67167I
b = −0.234660 + 0.684231I
−1.82576 + 6.45440I −0.55010 − 12.51728I
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.634764 + 0.865535I
a = −0.99741 + 1.30162I
b = 1.65938 − 0.08266I
−3.78489 − 2.48053I 1.30193 + 4.38950I
u = −0.634764 − 0.865535I
a = −0.99741 − 1.30162I
b = 1.65938 + 0.08266I
−3.78489 + 2.48053I 1.30193 − 4.38950I
u = −0.295026 + 0.856715I
a = −1.37728 + 1.04948I
b = 1.221270 + 0.199288I
−5.75967 − 1.29167I −13.78024 − 0.97799I
u = −0.295026 − 0.856715I
a = −1.37728 − 1.04948I
b = 1.221270 − 0.199288I
−5.75967 + 1.29167I −13.78024 + 0.97799I
u = 0.152907 + 0.887397I
a = −1.70925 − 0.20552I
b = 0.791868 − 0.912426I
−4.17437 + 3.44692I −9.25539 − 3.75161I
u = 0.152907 − 0.887397I
a = −1.70925 + 0.20552I
b = 0.791868 + 0.912426I
−4.17437 − 3.44692I −9.25539 + 3.75161I
u = −0.478510 + 1.070730I
a = −0.116367 + 0.867704I
b = −0.205707 − 0.401892I
−4.62314 − 9.08324I −7.92158 + 10.08982I
u = −0.478510 − 1.070730I
a = −0.116367 − 0.867704I
b = −0.205707 + 0.401892I
−4.62314 + 9.08324I −7.92158 − 10.08982I
u = 0.442959 + 1.095940I
a = −0.884255 − 0.884302I
b = 0.302296 + 0.514682I
−0.84946 + 2.99731I −13.6171 − 10.8986I
u = 0.442959 − 1.095940I
a = −0.884255 + 0.884302I
b = 0.302296 − 0.514682I
−0.84946 − 2.99731I −13.6171 + 10.8986I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.707613 + 0.961672I
a = 1.75863 + 0.10384I
b = −0.148352 + 0.989644I
4.37516 + 3.31659I 2.78895 − 2.11164I
u = 0.707613 − 0.961672I
a = 1.75863 − 0.10384I
b = −0.148352 − 0.989644I
4.37516 − 3.31659I 2.78895 + 2.11164I
u = −0.673964 + 1.011440I
a = −1.87571 + 0.25264I
b = 0.47029 + 1.53712I
1.88598 − 9.93676I −4.74296 + 9.01509I
u = −0.673964 − 1.011440I
a = −1.87571 − 0.25264I
b = 0.47029 − 1.53712I
1.88598 + 9.93676I −4.74296 − 9.01509I
u = 0.262246 + 0.733198I
a = 0.38934 + 2.88011I
b = 0.047504 − 0.568413I
0.773366 − 0.074600I −8.63422 + 0.18891I
u = 0.262246 − 0.733198I
a = 0.38934 − 2.88011I
b = 0.047504 + 0.568413I
0.773366 + 0.074600I −8.63422 − 0.18891I
u = 1.210360 + 0.229518I
a = −0.360575 + 0.322612I
b = 0.217571 + 0.990993I
4.13377 − 0.82820I 26.3126 + 15.1014I
u = 1.210360 − 0.229518I
a = −0.360575 − 0.322612I
b = 0.217571 − 0.990993I
4.13377 + 0.82820I 26.3126 − 15.1014I
u = −0.129072 + 1.235900I
a = −0.097653 + 1.183260I
b = 0.302337 − 1.149100I
−1.88719 + 3.02774I −5.70608 − 10.67970I
u = −0.129072 − 1.235900I
a = −0.097653 − 1.183260I
b = 0.302337 + 1.149100I
−1.88719 − 3.02774I −5.70608 + 10.67970I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.386600 + 0.624916I
a = 0.79352 − 3.14084I
b = −0.340698 + 0.465298I
−2.98289 + 5.34357I −9.82121 − 2.26975I
u = −0.386600 − 0.624916I
a = 0.79352 + 3.14084I
b = −0.340698 − 0.465298I
−2.98289 − 5.34357I −9.82121 + 2.26975I
u = 0.505198 + 0.439594I
a = −0.742364 + 0.645600I
b = 0.210704 + 1.256190I
3.94267 − 1.38116I −1.140160 − 0.424141I
u = 0.505198 − 0.439594I
a = −0.742364 − 0.645600I
b = 0.210704 − 1.256190I
3.94267 + 1.38116I −1.140160 + 0.424141I
u = −0.443272 + 1.255980I
a = −0.597213 − 0.007055I
b = 0.007267 + 0.629804I
−4.59232 + 1.26614I −12.85081 + 0.I
u = −0.443272 − 1.255980I
a = −0.597213 + 0.007055I
b = 0.007267 − 0.629804I
−4.59232 − 1.26614I −12.85081 + 0.I
u = 0.746644 + 1.121580I
a = −1.69864 − 0.17272I
b = 0.533898 − 1.128190I
1.61047 + 6.99390I 0
u = 0.746644 − 1.121580I
a = −1.69864 + 0.17272I
b = 0.533898 + 1.128190I
1.61047 − 6.99390I 0
u = −0.389275 + 0.412909I
a = −0.822665 − 0.567690I
b = 0.09141 + 1.41820I
1.74793 − 5.52786I −1.14031 + 9.13707I
u = −0.389275 − 0.412909I
a = −0.822665 + 0.567690I
b = 0.09141 − 1.41820I
1.74793 + 5.52786I −1.14031 − 9.13707I
30
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
40
− 17u
39
+ ··· − 15u + 1)(u
163
+ 60u
162
+ ··· − 210273u − 11881)
c
2
(u
40
+ u
39
+ ··· − u + 1)(u
163
− 4u
162
+ ··· + 73u + 109)
c
3
(u
40
+ 4u
38
+ ··· + 24u + 5)(u
163
− u
162
+ ··· + 145270u + 8171)
c
4
(u
40
− 2u
39
+ ··· − 6u + 1)(u
163
+ 5u
162
+ ··· + 44u + 1)
c
5
(u
40
+ 2u
38
+ ··· + 43u + 5)
· (u
163
+ u
162
+ ··· − 8899288561u + 823046069)
c
6
(u
40
− u
39
+ ··· + u + 1)(u
163
− 4u
162
+ ··· + 73u + 109)
c
7
(u
40
− 14u
39
+ ··· − 6u + 1)
· (u
163
+ 13u
162
+ ··· + 1378020u + 540971)
c
8
(u
40
+ 2u
39
+ ··· + 5u + 1)(u
163
+ 3u
162
+ ··· + 7u + 5)
c
9
(u
40
+ 2u
39
+ ··· − 4u + 1)(u
163
+ u
162
+ ··· − 105758u + 23671)
c
10
(u
40
+ 14u
39
+ ··· + 6u + 1)
· (u
163
+ 13u
162
+ ··· + 1378020u + 540971)
c
11
(u
40
+ 6u
39
+ ··· + 4u + 1)(u
163
− 15u
162
+ ··· − 22u + 1)
c
12
(u
40
+ 2u
39
+ ··· + 6u + 1)(u
163
+ 5u
162
+ ··· + 44u + 1)
31
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
40
+ 9y
39
+ ··· + 35y + 1)
· (y
163
+ 84y
162
+ ··· + 3549326923y −141158161)
c
2
, c
6
(y
40
+ 17y
39
+ ··· + 15y + 1)(y
163
+ 60y
162
+ ··· − 210273y −11881)
c
3
(y
40
+ 8y
39
+ ··· + 454y + 25)
· (y
163
− y
162
+ ··· + 12294021696y −66765241)
c
4
, c
12
(y
40
+ 26y
39
+ ··· + 48y + 1)(y
163
+ 113y
162
+ ··· − 210y −1)
c
5
(y
40
+ 4y
39
+ ··· + 231y + 25)
· (y
163
+ 55y
162
+ ··· − 2.46 × 10
19
y −6.77 × 10
17
)
c
7
, c
10
(y
40
+ 20y
39
+ ··· + 32y + 1)
· (y
163
+ 99y
162
+ ··· − 12041923581454y −292649622841)
c
8
(y
40
− 12y
39
+ ··· + 11y + 1)(y
163
− 9y
162
+ ··· − 101y −25)
c
9
(y
40
− 4y
39
+ ··· + 24y + 1)
· (y
163
− 21y
162
+ ··· − 12180652826y −560316241)
c
11
(y
40
− 20y
39
+ ··· + 8y + 1)(y
163
− 21y
162
+ ··· − 582y −1)
32
