12a
0301
(K12a
0301
)
A knot diagram
1
Linearized knot diagam
3 6 8 10 2 1 11 5 12 4 7 9
Solving Sequence
7,12
11
4,8
3 10 5 9 1 6 2
c
11
c
7
c
3
c
10
c
4
c
9
c
12
c
6
c
2
c
1
, c
5
, c
8
Ideals for irreducible components
2
of X
par
I
u
1
= h−4.87061 × 10
819
u
143
+ 1.43509 × 10
820
u
142
+ ··· + 1.18052 × 10
823
b + 1.14666 × 10
826
,
4.47547 × 10
826
u
143
− 1.10984 × 10
827
u
142
+ ··· + 5.06813 × 10
829
a − 2.27451 × 10
832
,
u
144
− 2u
143
+ ··· + 43492785u + 4293137i
I
u
2
= h−1449u
33
− 2044u
32
+ ··· + b + 83, 1549u
33
+ 2128u
32
+ ··· + a − 545, u
34
+ u
33
+ ··· − 6u + 1i
* 2 irreducible components of dim
C
= 0, with total 178 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−4.87 × 10
819
u
143
+ 1.44 × 10
820
u
142
+ · · · + 1.18 × 10
823
b + 1.15 ×
10
826
, 4.48 × 10
826
u
143
− 1.11 × 10
827
u
142
+ · · · + 5.07 × 10
829
a − 2.27 ×
10
832
, u
144
− 2u
143
+ · · · + 43492785u + 4293137i
(i) Arc colorings
a
7
=
0
u
a
12
=
1
0
a
11
=
1
u
2
a
4
=
−0.000883062u
143
+ 0.00218985u
142
+ ··· + 746.743u + 448.786
0.000412583u
143
− 0.00121564u
142
+ ··· − 7800.84u − 971.315
a
8
=
u
u
3
+ u
a
3
=
−0.000329909u
143
+ 0.000760842u
142
+ ··· − 1701.22u − 34.1671
0.000541090u
143
− 0.00130988u
142
+ ··· + 1411.66u − 68.8627
a
10
=
−0.000383810u
143
+ 0.000957612u
142
+ ··· − 872.514u + 74.6215
0.000312112u
143
− 0.000848011u
142
+ ··· − 985.490u − 235.218
a
5
=
−0.0000132490u
143
− 0.000187625u
142
+ ··· − 8836.60u − 904.601
0.000163305u
143
− 0.000487278u
142
+ ··· − 3119.83u − 390.280
a
9
=
−0.0000716976u
143
+ 0.000109602u
142
+ ··· − 1858.00u − 160.596
0.000312112u
143
− 0.000848011u
142
+ ··· − 985.490u − 235.218
a
1
=
−0.000558490u
143
+ 0.00109744u
142
+ ··· − 9944.74u − 773.191
0.000391100u
143
− 0.00112125u
142
+ ··· − 4823.37u − 687.423
a
6
=
0.000166748u
143
+ 0.000148454u
142
+ ··· + 19122.8u + 1882.55
−0.000808895u
143
+ 0.00189709u
142
+ ··· − 4071.08u − 82.2661
a
2
=
−0.000751067u
143
+ 0.00102591u
142
+ ··· − 29590.0u − 2714.62
0.000847809u
143
− 0.00178305u
142
+ ··· + 12346.0u + 921.364
(ii) Obstruction class = −1
(iii) Cusp Shapes = 0.00103687u
143
− 0.00285015u
142
+ ··· − 12761.8u − 1827.63
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
144
+ 73u
143
+ ··· + 11u + 1
c
2
, c
5
u
144
+ 3u
143
+ ··· + 3u + 1
c
3
u
144
+ 31u
142
+ ··· + 1908503741u + 608565121
c
4
, c
10
u
144
+ u
143
+ ··· + 3922u + 11047
c
6
u
144
+ 9u
143
+ ··· + 5231795u + 492275
c
7
, c
11
u
144
− 2u
143
+ ··· + 43492785u + 4293137
c
8
u
144
− 5u
143
+ ··· + 323456u + 145664
c
9
, c
12
u
144
− 7u
143
+ ··· + 448u + 241
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
144
+ 7y
143
+ ··· + 61y + 1
c
2
, c
5
y
144
− 73y
143
+ ··· − 11y + 1
c
3
y
144
+ 62y
143
+ ··· + 1.71 × 10
19
y + 3.70 × 10
17
c
4
, c
10
y
144
+ 99y
143
+ ··· + 2246933046y + 122036209
c
6
y
144
+ 59y
143
+ ··· + 2859927161675y + 242334675625
c
7
, c
11
y
144
+ 112y
143
+ ··· + 363442723348927y + 18431025300769
c
8
y
144
+ 21y
143
+ ··· + 608957349888y + 21218000896
c
9
, c
12
y
144
+ 81y
143
+ ··· + 5275298y + 58081
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.588974 + 0.806586I
a = 0.814707 + 0.212144I
b = −0.480786 + 0.038773I
1.35258 + 1.78685I 0
u = 0.588974 − 0.806586I
a = 0.814707 − 0.212144I
b = −0.480786 − 0.038773I
1.35258 − 1.78685I 0
u = 0.552108 + 0.839164I
a = −1.279280 − 0.047757I
b = 0.553192 − 0.358983I
−0.35099 − 2.68683I 0
u = 0.552108 − 0.839164I
a = −1.279280 + 0.047757I
b = 0.553192 + 0.358983I
−0.35099 + 2.68683I 0
u = 1.005370 + 0.062527I
a = 0.104281 − 0.381311I
b = 0.61943 − 1.48558I
2.68193 − 5.85769I 0
u = 1.005370 − 0.062527I
a = 0.104281 + 0.381311I
b = 0.61943 + 1.48558I
2.68193 + 5.85769I 0
u = −0.220365 + 0.993377I
a = 0.85710 + 2.02083I
b = −0.179134 − 0.769240I
−3.75668 − 2.02618I 0
u = −0.220365 − 0.993377I
a = 0.85710 − 2.02083I
b = −0.179134 + 0.769240I
−3.75668 + 2.02618I 0
u = 0.663510 + 0.714334I
a = −0.622284 + 0.116258I
b = 0.494383 − 0.205448I
−0.77640 − 2.27763I 0
u = 0.663510 − 0.714334I
a = −0.622284 − 0.116258I
b = 0.494383 + 0.205448I
−0.77640 + 2.27763I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.254448 + 1.004160I
a = 0.34549 + 3.18852I
b = 1.12753 − 2.12776I
−2.68755 − 9.48016I 0
u = −0.254448 − 1.004160I
a = 0.34549 − 3.18852I
b = 1.12753 + 2.12776I
−2.68755 + 9.48016I 0
u = 0.116003 + 1.031380I
a = −0.752872 + 0.148868I
b = 1.43735 + 0.44324I
−0.955085 − 0.942202I 0
u = 0.116003 − 1.031380I
a = −0.752872 − 0.148868I
b = 1.43735 − 0.44324I
−0.955085 + 0.942202I 0
u = 0.615971 + 0.853128I
a = 0.313127 + 0.522083I
b = −0.469295 − 0.339372I
0.99262 + 2.96528I 0
u = 0.615971 − 0.853128I
a = 0.313127 − 0.522083I
b = −0.469295 + 0.339372I
0.99262 − 2.96528I 0
u = 0.561725 + 0.758384I
a = 0.598946 − 0.063054I
b = −0.546435 − 0.015274I
1.22604 + 1.75594I 0
u = 0.561725 − 0.758384I
a = 0.598946 + 0.063054I
b = −0.546435 + 0.015274I
1.22604 − 1.75594I 0
u = −0.198296 + 1.043170I
a = 0.01554 − 3.00067I
b = −1.10648 + 2.07716I
−0.59723 − 4.65435I 0
u = −0.198296 − 1.043170I
a = 0.01554 + 3.00067I
b = −1.10648 − 2.07716I
−0.59723 + 4.65435I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.408176 + 0.981073I
a = −0.130120 + 0.354158I
b = 0.264137 − 0.428591I
−0.99525 + 2.97182I 0
u = 0.408176 − 0.981073I
a = −0.130120 − 0.354158I
b = 0.264137 + 0.428591I
−0.99525 − 2.97182I 0
u = 0.312845 + 1.028380I
a = −0.706686 + 0.112894I
b = 1.286400 + 0.151620I
−0.79795 + 6.14591I 0
u = 0.312845 − 1.028380I
a = −0.706686 − 0.112894I
b = 1.286400 − 0.151620I
−0.79795 − 6.14591I 0
u = −0.020124 + 1.077150I
a = 0.85194 − 2.59546I
b = −1.00450 + 1.92895I
0.15992 − 2.69156I 0
u = −0.020124 − 1.077150I
a = 0.85194 + 2.59546I
b = −1.00450 − 1.92895I
0.15992 + 2.69156I 0
u = 0.108232 + 1.075700I
a = −1.26822 + 2.17941I
b = 0.87786 − 1.76992I
−1.11315 + 2.01264I 0
u = 0.108232 − 1.075700I
a = −1.26822 − 2.17941I
b = 0.87786 + 1.76992I
−1.11315 − 2.01264I 0
u = 0.348479 + 0.841255I
a = 0.706723 − 0.049308I
b = −0.987714 − 0.269842I
1.37682 + 2.28432I 0
u = 0.348479 − 0.841255I
a = 0.706723 + 0.049308I
b = −0.987714 + 0.269842I
1.37682 − 2.28432I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.663458 + 0.872096I
a = −0.179121 − 0.657961I
b = 0.528871 + 0.517276I
−1.19337 + 7.42439I 0
u = 0.663458 − 0.872096I
a = −0.179121 + 0.657961I
b = 0.528871 − 0.517276I
−1.19337 − 7.42439I 0
u = −0.838504 + 0.318893I
a = −1.042270 − 0.444996I
b = −0.682946 − 0.959518I
−5.20423 − 7.14103I 0
u = −0.838504 − 0.318893I
a = −1.042270 + 0.444996I
b = −0.682946 + 0.959518I
−5.20423 + 7.14103I 0
u = −0.846408 + 0.238041I
a = 0.235642 + 1.272120I
b = 0.026187 + 0.955549I
0.62706 + 8.26152I 0
u = −0.846408 − 0.238041I
a = 0.235642 − 1.272120I
b = 0.026187 − 0.955549I
0.62706 − 8.26152I 0
u = −0.229432 + 1.100660I
a = −0.835734 − 0.058002I
b = −0.539507 + 0.372564I
3.02392 − 4.18388I 0
u = −0.229432 − 1.100660I
a = −0.835734 + 0.058002I
b = −0.539507 − 0.372564I
3.02392 + 4.18388I 0
u = −0.164064 + 1.120810I
a = 0.910405 + 0.394437I
b = 0.534511 − 0.463425I
2.49148 + 1.82953I 0
u = −0.164064 − 1.120810I
a = 0.910405 − 0.394437I
b = 0.534511 + 0.463425I
2.49148 − 1.82953I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.602181 + 0.962757I
a = −0.017523 − 0.464247I
b = 0.189249 + 0.582642I
−2.24076 + 0.35611I 0
u = 0.602181 − 0.962757I
a = −0.017523 + 0.464247I
b = 0.189249 − 0.582642I
−2.24076 − 0.35611I 0
u = −0.343761 + 0.784853I
a = −1.44286 − 1.89551I
b = −0.157834 + 0.299506I
−5.23945 − 6.83479I 0
u = −0.343761 − 0.784853I
a = −1.44286 + 1.89551I
b = −0.157834 − 0.299506I
−5.23945 + 6.83479I 0
u = −0.018942 + 1.149860I
a = 0.32580 + 1.83647I
b = −0.835072 − 0.860030I
−5.09191 + 0.88313I 0
u = −0.018942 − 1.149860I
a = 0.32580 − 1.83647I
b = −0.835072 + 0.860030I
−5.09191 − 0.88313I 0
u = −0.780566 + 0.251437I
a = −0.182848 − 1.298480I
b = 0.058926 − 0.906421I
3.10843 + 3.24691I 0
u = −0.780566 − 0.251437I
a = −0.182848 + 1.298480I
b = 0.058926 + 0.906421I
3.10843 − 3.24691I 0
u = −0.433416 + 0.692395I
a = −0.892030 + 0.420953I
b = 1.09657 + 1.30641I
−1.87167 + 6.68892I 0
u = −0.433416 − 0.692395I
a = −0.892030 − 0.420953I
b = 1.09657 − 1.30641I
−1.87167 − 6.68892I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.039597 + 1.187340I
a = −0.23079 − 1.72372I
b = 1.029770 + 0.840840I
−7.51047 + 6.26493I 0
u = 0.039597 − 1.187340I
a = −0.23079 + 1.72372I
b = 1.029770 − 0.840840I
−7.51047 − 6.26493I 0
u = 0.028137 + 0.810981I
a = 0.857357 − 0.120226I
b = −1.185570 − 0.689334I
1.16811 + 2.58837I 0
u = 0.028137 − 0.810981I
a = 0.857357 + 0.120226I
b = −1.185570 + 0.689334I
1.16811 − 2.58837I 0
u = 0.685639 + 0.398945I
a = −0.714999 + 0.142005I
b = 0.267849 − 0.158035I
−0.78982 + 4.43480I 0
u = 0.685639 − 0.398945I
a = −0.714999 − 0.142005I
b = 0.267849 + 0.158035I
−0.78982 − 4.43480I 0
u = −0.747504 + 0.180586I
a = 0.918151 + 0.133298I
b = 0.376430 + 1.020790I
−2.80400 − 2.61780I 0
u = −0.747504 − 0.180586I
a = 0.918151 − 0.133298I
b = 0.376430 − 1.020790I
−2.80400 + 2.61780I 0
u = −0.749959 + 0.113090I
a = 0.246223 + 1.375070I
b = −0.183531 + 1.054220I
−1.382460 + 0.261042I 0
u = −0.749959 − 0.113090I
a = 0.246223 − 1.375070I
b = −0.183531 − 1.054220I
−1.382460 − 0.261042I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.123292 + 1.235550I
a = −0.024057 + 0.397629I
b = 0.721977 − 0.549297I
−3.24642 + 2.41794I 0
u = 0.123292 − 1.235550I
a = −0.024057 − 0.397629I
b = 0.721977 + 0.549297I
−3.24642 − 2.41794I 0
u = 0.920219 + 0.847649I
a = −0.534998 + 0.453594I
b = −0.562416 + 0.175354I
−2.38529 + 3.49979I 0
u = 0.920219 − 0.847649I
a = −0.534998 − 0.453594I
b = −0.562416 − 0.175354I
−2.38529 − 3.49979I 0
u = −0.104504 + 1.246890I
a = −0.49877 − 1.67441I
b = 0.80656 + 1.23008I
−10.16430 − 2.09519I 0
u = −0.104504 − 1.246890I
a = −0.49877 + 1.67441I
b = 0.80656 − 1.23008I
−10.16430 + 2.09519I 0
u = −0.376709 + 1.207980I
a = 0.49740 + 2.08303I
b = 1.06246 − 2.02022I
−4.73479 − 2.67171I 0
u = −0.376709 − 1.207980I
a = 0.49740 − 2.08303I
b = 1.06246 + 2.02022I
−4.73479 + 2.67171I 0
u = −0.444938 + 1.190580I
a = −0.91678 − 1.72233I
b = −0.37710 + 1.79378I
−4.79129 − 6.15356I 0
u = −0.444938 − 1.190580I
a = −0.91678 + 1.72233I
b = −0.37710 − 1.79378I
−4.79129 + 6.15356I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.400594 + 1.209200I
a = −0.384054 + 0.146148I
b = −0.606258 + 0.194163I
0.04470 − 7.58979I 0
u = −0.400594 − 1.209200I
a = −0.384054 − 0.146148I
b = −0.606258 − 0.194163I
0.04470 + 7.58979I 0
u = 0.710136 + 0.117628I
a = −0.343029 + 0.215010I
b = −0.760564 + 1.115220I
2.39029 − 1.41778I 0
u = 0.710136 − 0.117628I
a = −0.343029 − 0.215010I
b = −0.760564 − 1.115220I
2.39029 + 1.41778I 0
u = −0.717147 + 0.015494I
a = 0.331720 − 0.326283I
b = 0.047403 − 1.201530I
−1.38519 + 1.85665I 0
u = −0.717147 − 0.015494I
a = 0.331720 + 0.326283I
b = 0.047403 + 1.201530I
−1.38519 − 1.85665I 0
u = −0.326609 + 1.258210I
a = 0.363087 − 0.010208I
b = 0.681362 − 0.244980I
−5.04746 − 4.10538I 0
u = −0.326609 − 1.258210I
a = 0.363087 + 0.010208I
b = 0.681362 + 0.244980I
−5.04746 + 4.10538I 0
u = 0.024138 + 1.299960I
a = −0.052500 − 0.354159I
b = −0.804034 + 0.514563I
−7.22328 − 1.44072I 0
u = 0.024138 − 1.299960I
a = −0.052500 + 0.354159I
b = −0.804034 − 0.514563I
−7.22328 + 1.44072I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.574477 + 0.398863I
a = 0.121276 − 1.349280I
b = 0.244153 − 0.686304I
4.98422 + 1.09428I 0
u = −0.574477 − 0.398863I
a = 0.121276 + 1.349280I
b = 0.244153 + 0.686304I
4.98422 − 1.09428I 0
u = −0.896813 + 0.949012I
a = −0.835360 − 1.133600I
b = −1.66185 + 0.17676I
−6.05078 − 0.28308I 0
u = −0.896813 − 0.949012I
a = −0.835360 + 1.133600I
b = −1.66185 − 0.17676I
−6.05078 + 0.28308I 0
u = −0.546921 + 0.424202I
a = −0.858030 + 0.658167I
b = 0.69435 + 1.35145I
−2.43049 − 0.79621I 0
u = −0.546921 − 0.424202I
a = −0.858030 − 0.658167I
b = 0.69435 − 1.35145I
−2.43049 + 0.79621I 0
u = −0.437988 + 1.243590I
a = 0.315246 − 0.162105I
b = 0.621025 − 0.144861I
−2.63906 − 12.95050I 0
u = −0.437988 − 1.243590I
a = 0.315246 + 0.162105I
b = 0.621025 + 0.144861I
−2.63906 + 12.95050I 0
u = 0.169686 + 1.310780I
a = 0.044715 − 0.352540I
b = −0.750252 + 0.627963I
−6.23195 + 7.10872I 0
u = 0.169686 − 1.310780I
a = 0.044715 + 0.352540I
b = −0.750252 − 0.627963I
−6.23195 − 7.10872I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.405777 + 0.484780I
a = −0.45411 + 1.38784I
b = −0.380910 + 0.594374I
4.28423 − 3.95321I 8.83973 + 5.08072I
u = −0.405777 − 0.484780I
a = −0.45411 − 1.38784I
b = −0.380910 − 0.594374I
4.28423 + 3.95321I 8.83973 − 5.08072I
u = −0.375711 + 1.318400I
a = 0.30255 + 1.85564I
b = 1.22831 − 2.05684I
−4.72511 − 2.68988I 0
u = −0.375711 − 1.318400I
a = 0.30255 − 1.85564I
b = 1.22831 + 2.05684I
−4.72511 + 2.68988I 0
u = 0.378389 + 1.327700I
a = −0.29232 + 1.78878I
b = −0.70586 − 1.75721I
−1.64399 + 5.55551I 0
u = 0.378389 − 1.327700I
a = −0.29232 − 1.78878I
b = −0.70586 + 1.75721I
−1.64399 − 5.55551I 0
u = −0.260086 + 0.557311I
a = 1.089100 − 0.374280I
b = −0.95277 − 1.07001I
0.70399 + 2.55333I 2.39179 − 1.33477I
u = −0.260086 − 0.557311I
a = 1.089100 + 0.374280I
b = −0.95277 + 1.07001I
0.70399 − 2.55333I 2.39179 + 1.33477I
u = 1.392090 + 0.059866I
a = −0.041688 + 0.516633I
b = 0.19444 + 2.15296I
0.34432 + 7.14034I 0
u = 1.392090 − 0.059866I
a = −0.041688 − 0.516633I
b = 0.19444 − 2.15296I
0.34432 − 7.14034I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.424343 + 1.331970I
a = −0.89922 − 1.51222I
b = 0.17293 + 2.13223I
−7.32112 − 7.04455I 0
u = −0.424343 − 1.331970I
a = −0.89922 + 1.51222I
b = 0.17293 − 2.13223I
−7.32112 + 7.04455I 0
u = −0.363811 + 1.365390I
a = 0.81478 + 1.48788I
b = −0.40176 − 2.05770I
−11.51500 − 3.54675I 0
u = −0.363811 − 1.365390I
a = 0.81478 − 1.48788I
b = −0.40176 + 2.05770I
−11.51500 + 3.54675I 0
u = 0.46535 + 1.35157I
a = 0.41281 − 1.73538I
b = 0.92905 + 1.88759I
−1.50949 + 11.08430I 0
u = 0.46535 − 1.35157I
a = 0.41281 + 1.73538I
b = 0.92905 − 1.88759I
−1.50949 − 11.08430I 0
u = −0.534256 + 0.175599I
a = −1.41161 + 0.75020I
b = −0.157668 − 0.785039I
−6.59405 + 0.21495I −8.07961 − 1.24156I
u = −0.534256 − 0.175599I
a = −1.41161 − 0.75020I
b = −0.157668 + 0.785039I
−6.59405 − 0.21495I −8.07961 + 1.24156I
u = −0.44954 + 1.36682I
a = 0.91887 + 1.45811I
b = −0.20940 − 2.27646I
−10.0795 − 11.8977I 0
u = −0.44954 − 1.36682I
a = 0.91887 − 1.45811I
b = −0.20940 + 2.27646I
−10.0795 + 11.8977I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.08155 + 1.44756I
a = 0.03237 + 1.48629I
b = 0.28223 − 1.84017I
−5.90985 + 2.79566I 0
u = 0.08155 − 1.44756I
a = 0.03237 − 1.48629I
b = 0.28223 + 1.84017I
−5.90985 − 2.79566I 0
u = 0.515683 + 0.191655I
a = 0.868388 − 0.149219I
b = −0.257523 + 0.044833I
1.145010 + 0.395907I 8.43272 − 1.42917I
u = 0.515683 − 0.191655I
a = 0.868388 + 0.149219I
b = −0.257523 − 0.044833I
1.145010 − 0.395907I 8.43272 + 1.42917I
u = −0.321300 + 0.441867I
a = −0.359364 + 1.057550I
b = 0.646998 + 0.435745I
−1.58511 − 1.03071I −2.17657 − 0.53205I
u = −0.321300 − 0.441867I
a = −0.359364 − 1.057550I
b = 0.646998 − 0.435745I
−1.58511 + 1.03071I −2.17657 + 0.53205I
u = −0.84358 + 1.19517I
a = 0.64702 + 1.26996I
b = 1.93434 − 0.86046I
−4.24592 − 3.74110I 0
u = −0.84358 − 1.19517I
a = 0.64702 − 1.26996I
b = 1.93434 + 0.86046I
−4.24592 + 3.74110I 0
u = 1.45129 + 0.25325I
a = 0.108702 − 0.526750I
b = 0.29191 − 2.13272I
−3.84358 + 3.69745I 0
u = 1.45129 − 0.25325I
a = 0.108702 + 0.526750I
b = 0.29191 + 2.13272I
−3.84358 − 3.69745I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.50001 + 0.01786I
a = 0.040577 − 0.552505I
b = −0.22698 − 2.42703I
−2.38759 + 12.01890I 0
u = 1.50001 − 0.01786I
a = 0.040577 + 0.552505I
b = −0.22698 + 2.42703I
−2.38759 − 12.01890I 0
u = −0.03046 + 1.50876I
a = −0.034479 − 1.355440I
b = −0.70117 + 1.92659I
−9.20997 − 2.44038I 0
u = −0.03046 − 1.50876I
a = −0.034479 + 1.355440I
b = −0.70117 − 1.92659I
−9.20997 + 2.44038I 0
u = 0.18707 + 1.54549I
a = 0.11795 − 1.47791I
b = −0.04073 + 2.24256I
−10.53950 + 6.99581I 0
u = 0.18707 − 1.54549I
a = 0.11795 + 1.47791I
b = −0.04073 − 2.24256I
−10.53950 − 6.99581I 0
u = 0.58892 + 1.45525I
a = 0.51439 − 1.57007I
b = 1.21400 + 2.25209I
−4.4747 + 13.8884I 0
u = 0.58892 − 1.45525I
a = 0.51439 + 1.57007I
b = 1.21400 − 2.25209I
−4.4747 − 13.8884I 0
u = 0.62506 + 1.47368I
a = −0.53986 + 1.53714I
b = −1.30785 − 2.32259I
−7.1676 + 19.1850I 0
u = 0.62506 − 1.47368I
a = −0.53986 − 1.53714I
b = −1.30785 + 2.32259I
−7.1676 − 19.1850I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.53960 + 1.50812I
a = −0.44875 + 1.53734I
b = −1.04384 − 2.37776I
−9.42147 + 10.38660I 0
u = 0.53960 − 1.50812I
a = −0.44875 − 1.53734I
b = −1.04384 + 2.37776I
−9.42147 − 10.38660I 0
u = −0.80497 + 1.43067I
a = 0.448147 + 1.301340I
b = 2.25308 − 1.49885I
−4.82162 − 3.73006I 0
u = −0.80497 − 1.43067I
a = 0.448147 − 1.301340I
b = 2.25308 + 1.49885I
−4.82162 + 3.73006I 0
u = −0.75952 + 1.59024I
a = −0.325959 − 1.292830I
b = −2.40942 + 1.95510I
−7.89532 − 0.16266I 0
u = −0.75952 − 1.59024I
a = −0.325959 + 1.292830I
b = −2.40942 − 1.95510I
−7.89532 + 0.16266I 0
u = −0.90874 + 1.51148I
a = −0.408405 − 1.217950I
b = −2.64198 + 1.51745I
−7.49720 − 7.84328I 0
u = −0.90874 − 1.51148I
a = −0.408405 + 1.217950I
b = −2.64198 − 1.51745I
−7.49720 + 7.84328I 0
u = 0.39392 + 1.75545I
a = −0.421747 + 1.209760I
b = −0.35466 − 3.04063I
−5.47321 + 0.58316I 0
u = 0.39392 − 1.75545I
a = −0.421747 − 1.209760I
b = −0.35466 + 3.04063I
−5.47321 − 0.58316I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.23900 + 1.88492I
a = 0.318729 − 1.242060I
b = −0.09185 + 3.52025I
−9.06744 − 3.79611I 0
u = 0.23900 − 1.88492I
a = 0.318729 + 1.242060I
b = −0.09185 − 3.52025I
−9.06744 + 3.79611I 0
u = 0.54878 + 1.88435I
a = 0.382473 − 1.120080I
b = 0.97041 + 3.35655I
−8.97505 + 5.09593I 0
u = 0.54878 − 1.88435I
a = 0.382473 + 1.120080I
b = 0.97041 − 3.35655I
−8.97505 − 5.09593I 0
19
II. I
u
2
= h−1449u
33
− 2044u
32
+ · · · + b + 83, 1549u
33
+ 2128u
32
+ · · · + a −
545, u
34
+ u
33
+ · · · − 6u + 1i
(i) Arc colorings
a
7
=
0
u
a
12
=
1
0
a
11
=
1
u
2
a
4
=
−1549u
33
− 2128u
32
+ ··· − 5989u + 545
1449u
33
+ 2044u
32
+ ··· + 3796u − 83
a
8
=
u
u
3
+ u
a
3
=
−754u
33
− 679u
32
+ ··· − 7675u + 1257
2185u
33
+ 3143u
32
+ ··· + 5239u − 25
a
10
=
5u
32
+ 5u
31
+ ··· − 238u + 57
u
33
+ u
32
+ ··· + 32u − 6
a
5
=
−220u
33
+ 130u
32
+ ··· − 5587u + 1104
787u
33
+ 345u
32
+ ··· + 11042u − 1832
a
9
=
u
33
+ 6u
32
+ ··· − 206u + 51
u
33
+ u
32
+ ··· + 32u − 6
a
1
=
51u
33
+ 50u
32
+ ··· + 764u − 99
−6u
33
− 7u
32
+ ··· − 83u + 4
a
6
=
461u
33
+ 623u
32
+ ··· + 1393u + 113
−99u
33
− 150u
32
+ ··· + 185u − 170
a
2
=
133u
33
+ 464u
32
+ ··· − 4298u + 1015
168u
33
+ 30u
32
+ ··· + 4930u − 923
(ii) Obstruction class = 1
(iii) Cusp Shapes = 917u
33
− 1310u
32
+ ··· + 34966u − 6672
20
(iv) u-Polynomials at the component
21
Crossings u-Polynomials at each crossing
c
1
u
34
− 18u
33
+ ··· − 10u + 1
c
2
u
34
+ 2u
33
+ ··· + 2u + 1
c
3
u
34
− u
33
+ ··· + 16u
2
+ 1
c
4
u
34
+ 11u
32
+ ··· + 3u + 1
c
5
u
34
− 2u
33
+ ··· − 2u + 1
c
6
u
34
− 6u
33
+ ··· − 4u
2
+ 1
c
7
u
34
− u
33
+ ··· + 6u + 1
c
8
u
34
+ 2u
32
+ ··· + 3u + 1
c
9
u
34
− 6u
33
+ ··· + u + 1
c
10
u
34
+ 11u
32
+ ··· − 3u + 1
c
11
u
34
+ u
33
+ ··· − 6u + 1
c
12
u
34
+ 6u
33
+ ··· − u + 1
22
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
34
+ 6y
33
+ ··· + 6y + 1
c
2
, c
5
y
34
− 18y
33
+ ··· − 10y + 1
c
3
y
34
+ 9y
33
+ ··· + 32y + 1
c
4
, c
10
y
34
+ 22y
33
+ ··· + 27y + 1
c
6
y
34
+ 6y
33
+ ··· − 8y + 1
c
7
, c
11
y
34
+ 31y
33
+ ··· + 28y + 1
c
8
y
34
+ 4y
33
+ ··· − 19y + 1
c
9
, c
12
y
34
+ 28y
33
+ ··· + 31y + 1
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.191167 + 1.022040I
a = 0.869542 − 0.392560I
b = 0.561024 + 0.524196I
2.87251 − 2.10121I 7.29934 + 0.I
u = 0.191167 − 1.022040I
a = 0.869542 + 0.392560I
b = 0.561024 − 0.524196I
2.87251 + 2.10121I 7.29934 + 0.I
u = 0.174005 + 0.941830I
a = −0.782482 − 0.069547I
b = −0.596449 − 0.432842I
3.18425 + 3.55001I 2.36591 + 0.I
u = 0.174005 − 0.941830I
a = −0.782482 + 0.069547I
b = −0.596449 + 0.432842I
3.18425 − 3.55001I 2.36591 + 0.I
u = 0.561343 + 0.931730I
a = −0.111886 − 0.393693I
b = 0.684926 − 0.211606I
−1.47095 + 2.36634I 0
u = 0.561343 − 0.931730I
a = −0.111886 + 0.393693I
b = 0.684926 + 0.211606I
−1.47095 − 2.36634I 0
u = −0.521603 + 0.957553I
a = 0.98747 + 1.93291I
b = 1.23742 − 0.81189I
−4.95756 − 7.76885I 0
u = −0.521603 − 0.957553I
a = 0.98747 − 1.93291I
b = 1.23742 + 0.81189I
−4.95756 + 7.76885I 0
u = 0.537317 + 0.632038I
a = 1.033360 − 0.110578I
b = 0.105202 + 1.258570I
−2.88749 + 1.16310I −4.11877 − 2.77849I
u = 0.537317 − 0.632038I
a = 1.033360 + 0.110578I
b = 0.105202 − 1.258570I
−2.88749 − 1.16310I −4.11877 + 2.77849I
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.472992 + 1.091720I
a = −0.64565 − 1.85526I
b = −1.14403 + 1.01661I
−3.30793 − 3.11279I 0
u = −0.472992 − 1.091720I
a = −0.64565 + 1.85526I
b = −1.14403 − 1.01661I
−3.30793 + 3.11279I 0
u = −0.767531 + 1.018810I
a = 0.96772 + 1.36100I
b = 1.60609 − 0.80485I
−6.29487 − 1.24377I 0
u = −0.767531 − 1.018810I
a = 0.96772 − 1.36100I
b = 1.60609 + 0.80485I
−6.29487 + 1.24377I 0
u = 0.400691 + 0.593368I
a = −0.833120 + 1.004930I
b = −0.584286 − 1.206530I
0.93308 + 4.04917I 4.14785 − 6.31643I
u = 0.400691 − 0.593368I
a = −0.833120 − 1.004930I
b = −0.584286 + 1.206530I
0.93308 − 4.04917I 4.14785 + 6.31643I
u = 0.108881 + 0.699899I
a = 1.062960 − 0.679577I
b = −1.042570 − 0.437362I
0.98679 + 1.47341I −0.75167 + 2.47418I
u = 0.108881 − 0.699899I
a = 1.062960 + 0.679577I
b = −1.042570 + 0.437362I
0.98679 − 1.47341I −0.75167 − 2.47418I
u = 0.430156 + 0.535349I
a = 1.44991 − 1.09036I
b = 0.56793 + 1.42993I
−1.43696 + 8.71820I 0.52151 − 8.82845I
u = 0.430156 − 0.535349I
a = 1.44991 + 1.09036I
b = 0.56793 − 1.42993I
−1.43696 − 8.71820I 0.52151 + 8.82845I
26
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.245797 + 0.610656I
a = 0.699203 + 1.193170I
b = −0.992414 − 0.902442I
1.91035 + 2.96084I 8.91302 − 7.38262I
u = 0.245797 − 0.610656I
a = 0.699203 − 1.193170I
b = −0.992414 + 0.902442I
1.91035 − 2.96084I 8.91302 + 7.38262I
u = 0.114888 + 0.626503I
a = −1.98668 + 0.21523I
b = 1.220040 + 0.554147I
−0.10391 + 4.93722I 1.75205 − 4.82134I
u = 0.114888 − 0.626503I
a = −1.98668 − 0.21523I
b = 1.220040 − 0.554147I
−0.10391 − 4.93722I 1.75205 + 4.82134I
u = 0.188919 + 0.577484I
a = −1.71516 − 1.32876I
b = 1.20718 + 0.85022I
0.359771 − 1.188750I 5.16537 + 0.04112I
u = 0.188919 − 0.577484I
a = −1.71516 + 1.32876I
b = 1.20718 − 0.85022I
0.359771 + 1.188750I 5.16537 − 0.04112I
u = −0.80963 + 1.27004I
a = −0.62953 − 1.28658I
b = −1.89479 + 1.24301I
−4.89455 − 3.88983I 0
u = −0.80963 − 1.27004I
a = −0.62953 + 1.28658I
b = −1.89479 − 1.24301I
−4.89455 + 3.88983I 0
u = −0.29394 + 1.56496I
a = −0.134365 − 1.396210I
b = −0.60597 + 2.19166I
−5.20461 − 1.85850I 0
u = −0.29394 − 1.56496I
a = −0.134365 + 1.396210I
b = −0.60597 − 2.19166I
−5.20461 + 1.85850I 0
27
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.09200 + 1.71224I
a = 0.040387 + 1.269270I
b = −0.10955 − 2.60577I
−8.48052 + 2.96135I 0
u = −0.09200 − 1.71224I
a = 0.040387 − 1.269270I
b = −0.10955 + 2.60577I
−8.48052 − 2.96135I 0
u = −0.49547 + 1.77508I
a = 0.228343 + 1.257210I
b = 1.28025 − 2.87303I
−9.04089 − 5.96767I 0
u = −0.49547 − 1.77508I
a = 0.228343 − 1.257210I
b = 1.28025 + 2.87303I
−9.04089 + 5.96767I 0
28
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
34
− 18u
33
+ ··· − 10u + 1)(u
144
+ 73u
143
+ ··· + 11u + 1)
c
2
(u
34
+ 2u
33
+ ··· + 2u + 1)(u
144
+ 3u
143
+ ··· + 3u + 1)
c
3
(u
34
− u
33
+ ··· + 16u
2
+ 1)
· (u
144
+ 31u
142
+ ··· + 1908503741u + 608565121)
c
4
(u
34
+ 11u
32
+ ··· + 3u + 1)(u
144
+ u
143
+ ··· + 3922u + 11047)
c
5
(u
34
− 2u
33
+ ··· − 2u + 1)(u
144
+ 3u
143
+ ··· + 3u + 1)
c
6
(u
34
− 6u
33
+ ··· − 4u
2
+ 1)(u
144
+ 9u
143
+ ··· + 5231795u + 492275)
c
7
(u
34
− u
33
+ ··· + 6u + 1)(u
144
− 2u
143
+ ··· + 4.34928 × 10
7
u + 4293137)
c
8
(u
34
+ 2u
32
+ ··· + 3u + 1)(u
144
− 5u
143
+ ··· + 323456u + 145664)
c
9
(u
34
− 6u
33
+ ··· + u + 1)(u
144
− 7u
143
+ ··· + 448u + 241)
c
10
(u
34
+ 11u
32
+ ··· − 3u + 1)(u
144
+ u
143
+ ··· + 3922u + 11047)
c
11
(u
34
+ u
33
+ ··· − 6u + 1)(u
144
− 2u
143
+ ··· + 4.34928 × 10
7
u + 4293137)
c
12
(u
34
+ 6u
33
+ ··· − u + 1)(u
144
− 7u
143
+ ··· + 448u + 241)
29
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
34
+ 6y
33
+ ··· + 6y + 1)(y
144
+ 7y
143
+ ··· + 61y + 1)
c
2
, c
5
(y
34
− 18y
33
+ ··· − 10y + 1)(y
144
− 73y
143
+ ··· − 11y + 1)
c
3
(y
34
+ 9y
33
+ ··· + 32y + 1)
· (y
144
+ 62y
143
+ ··· + 1.71 × 10
19
y + 3.70 × 10
17
)
c
4
, c
10
(y
34
+ 22y
33
+ ··· + 27y + 1)
· (y
144
+ 99y
143
+ ··· + 2246933046y + 122036209)
c
6
(y
34
+ 6y
33
+ ··· − 8y + 1)
· (y
144
+ 59y
143
+ ··· + 2859927161675y + 242334675625)
c
7
, c
11
(y
34
+ 31y
33
+ ··· + 28y + 1)
· (y
144
+ 112y
143
+ ··· + 363442723348927y + 18431025300769)
c
8
(y
34
+ 4y
33
+ ··· − 19y + 1)
· (y
144
+ 21y
143
+ ··· + 608957349888y + 21218000896)
c
9
, c
12
(y
34
+ 28y
33
+ ··· + 31y + 1)
· (y
144
+ 81y
143
+ ··· + 5275298y + 58081)
30
