12a
1249
(K12a
1249
)
A knot diagram
1
Linearized knot diagam
5 6 12 9 10 11 4 1 2 3 7 8
Solving Sequence
1,5 2,9
10 6 4 8 7 12 3 11
c
1
c
9
c
5
c
4
c
8
c
7
c
12
c
3
c
11
c
2
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.05880 × 10
1211
u
151
+ 2.26006 × 10
1211
u
150
+ ··· + 1.94891 × 10
1209
b − 1.10493 × 10
1216
,
1.10741 × 10
1217
u
151
+ 1.41825 × 10
1217
u
150
+ ··· + 7.44939 × 10
1212
a − 5.29595 × 10
1221
,
3u
152
+ 6u
151
+ ··· − 1329546u − 103203i
I
u
2
= h3.30965 × 10
20
u
23
+ 5.28416 × 10
20
u
22
+ ··· + 1.04360 × 10
20
b − 5.11134 × 10
20
,
− 1.66263 × 10
21
u
23
− 5.94003 × 10
21
u
22
+ ··· + 1.04360 × 10
20
a − 2.53190 × 10
21
,
3u
24
+ 9u
23
+ ··· + 2u − 1i
* 2 irreducible components of dim
C
= 0, with total 176 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
= h1.06 × 10
1211
u
151
+ 2.26 × 10
1211
u
150
+ · · · + 1.95 × 10
1209
b − 1.10 ×
10
1216
, 1.11 × 10
1217
u
151
+ 1.42 × 10
1217
u
150
+ · · · + 7.45 × 10
1212
a − 5.30 ×
10
1221
, 3u
152
+ 6u
151
+ · · · − 1329546u − 103203i
(i) Arc colorings
a
1
=
1
0
a
5
=
0
u
a
2
=
1
u
2
a
9
=
−14865.8u
151
− 19038.5u
150
+ ··· + 8.17045 × 10
9
u + 7.10924 × 10
8
−54.3277u
151
− 115.965u
150
+ ··· + 6.09045 × 10
7
u + 5.66945 × 10
6
a
10
=
−7228.80u
151
− 9303.61u
150
+ ··· + 4.00373 × 10
9
u + 3.48737 × 10
8
3962.88u
151
+ 5005.33u
150
+ ··· − 2.13124 × 10
9
u − 1.84884 × 10
8
a
6
=
−20077.4u
151
− 25717.6u
150
+ ··· + 1.10380 × 10
10
u + 9.60477 × 10
8
−4996.99u
151
− 6399.33u
150
+ ··· + 2.74640 × 10
9
u + 2.38970 × 10
8
a
4
=
−23946.1u
151
− 30673.4u
150
+ ··· + 1.31647 × 10
10
u + 1.14552 × 10
9
−13896.0u
151
− 17802.5u
150
+ ··· + 7.64182 × 10
9
u + 6.64983 × 10
8
a
8
=
−14920.1u
151
− 19154.4u
150
+ ··· + 8.23135 × 10
9
u + 7.16593 × 10
8
−54.3277u
151
− 115.965u
150
+ ··· + 6.09045 × 10
7
u + 5.66945 × 10
6
a
7
=
18958.2u
151
+ 24196.5u
150
+ ··· − 1.03636 × 10
10
u − 9.01066 × 10
8
8191.77u
151
+ 10493.9u
150
+ ··· − 4.50345 × 10
9
u − 3.91854 × 10
8
a
12
=
20806.2u
151
+ 26652.5u
150
+ ··· − 1.14400 × 10
10
u − 9.95476 × 10
8
1475.88u
151
+ 1887.91u
150
+ ··· − 8.09724 × 10
8
u − 7.04389 × 10
7
a
3
=
9044.11u
151
+ 11595.5u
150
+ ··· − 4.98013 × 10
9
u − 4.33451 × 10
8
−5100.12u
151
− 6533.52u
150
+ ··· + 2.80406 × 10
9
u + 2.43992 × 10
8
a
11
=
17725.7u
151
+ 22622.6u
150
+ ··· − 9.68954 × 10
9
u − 8.42479 × 10
8
6973.18u
151
+ 8921.17u
150
+ ··· − 3.82539 × 10
9
u − 3.32753 × 10
8
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −43987.3u
151
− 56280.9u
150
+ ··· + 2.41418 × 10
10
u + 2.10022 × 10
9
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
3(3u
152
− 6u
151
+ ··· + 1329546u − 103203)
c
2
3(3u
152
+ 6u
151
+ ··· − 1329546u − 103203)
c
3
u
152
+ 2u
151
+ ··· − 654u + 423
c
4
u
152
+ 3u
151
+ ··· + 13u + 1
c
5
u
152
− 9u
151
+ ··· + 47757u + 7809
c
6
, c
11
3(3u
152
− 167u
150
+ ··· − 6u + 1)
c
7
u
152
− 2u
151
+ ··· + 654u + 423
c
8
, c
12
3(3u
152
− 167u
150
+ ··· + 6u + 1)
c
9
u
152
+ 9u
151
+ ··· − 47757u + 7809
c
10
u
152
− 3u
151
+ ··· − 13u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
9(9y
152
− 336y
151
+ ··· − 7.13600 × 10
11
y + 1.06509 × 10
10
)
c
3
, c
7
y
152
− 42y
151
+ ··· + 3035808y + 178929
c
4
, c
10
y
152
− 51y
151
+ ··· − 1445y + 1
c
5
, c
9
y
152
− 57y
151
+ ··· − 11081005509y + 60980481
c
6
, c
8
, c
11
c
12
9(9y
152
− 1002y
151
+ ··· − 342y + 1)
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.636691 + 0.751895I
a = 0.25274 − 1.64629I
b = −1.199820 + 0.107197I
−1.45660 + 1.48786I 0
u = −0.636691 − 0.751895I
a = 0.25274 + 1.64629I
b = −1.199820 − 0.107197I
−1.45660 − 1.48786I 0
u = −0.731220 + 0.713701I
a = −0.664353 − 0.881719I
b = 0.058799 + 0.702942I
7.30912 − 0.08952I 0
u = −0.731220 − 0.713701I
a = −0.664353 + 0.881719I
b = 0.058799 − 0.702942I
7.30912 + 0.08952I 0
u = −0.789031 + 0.535245I
a = −1.18743 − 0.96116I
b = −0.618641 + 0.493754I
5.14963 − 0.61657I 0
u = −0.789031 − 0.535245I
a = −1.18743 + 0.96116I
b = −0.618641 − 0.493754I
5.14963 + 0.61657I 0
u = 0.084639 + 0.948996I
a = 0.397571 + 0.845487I
b = 0.161590 − 0.798278I
1.47653 − 1.54111I 0
u = 0.084639 − 0.948996I
a = 0.397571 − 0.845487I
b = 0.161590 + 0.798278I
1.47653 + 1.54111I 0
u = 0.805693 + 0.672336I
a = −0.458714 − 0.915392I
b = 1.076740 + 0.628879I
0.04971 − 3.50428I 0
u = 0.805693 − 0.672336I
a = −0.458714 + 0.915392I
b = 1.076740 − 0.628879I
0.04971 + 3.50428I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.945821 + 0.056351I
a = −1.15996 + 1.37999I
b = −1.171130 + 0.127953I
−3.38143 + 3.80820I 0
u = 0.945821 − 0.056351I
a = −1.15996 − 1.37999I
b = −1.171130 − 0.127953I
−3.38143 − 3.80820I 0
u = −0.852982 + 0.617291I
a = 0.57651 + 1.53519I
b = 1.163850 − 0.350561I
4.05943 + 3.77468I 0
u = −0.852982 − 0.617291I
a = 0.57651 − 1.53519I
b = 1.163850 + 0.350561I
4.05943 − 3.77468I 0
u = 1.009200 + 0.310926I
a = 0.045338 + 1.054200I
b = −1.332530 − 0.121288I
−4.05943 − 3.77468I 0
u = 1.009200 − 0.310926I
a = 0.045338 − 1.054200I
b = −1.332530 + 0.121288I
−4.05943 + 3.77468I 0
u = −0.913241 + 0.236199I
a = −0.29195 − 1.63189I
b = −1.39666 + 0.47368I
−2.60387 + 11.50010I 0
u = −0.913241 − 0.236199I
a = −0.29195 + 1.63189I
b = −1.39666 − 0.47368I
−2.60387 − 11.50010I 0
u = 0.928790 + 0.154523I
a = 0.43162 − 3.30454I
b = 0.993981 + 0.166281I
1.58030 − 0.46294I 0
u = 0.928790 − 0.154523I
a = 0.43162 + 3.30454I
b = 0.993981 − 0.166281I
1.58030 + 0.46294I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.066520 + 0.152455I
a = 0.555153 − 0.959621I
b = 1.294750 − 0.030630I
−7.30912 + 0.08952I 0
u = 1.066520 − 0.152455I
a = 0.555153 + 0.959621I
b = 1.294750 + 0.030630I
−7.30912 − 0.08952I 0
u = 0.495469 + 0.774065I
a = 0.010206 − 0.369341I
b = −0.96174 + 1.12426I
3.39442 − 6.97676I 0
u = 0.495469 − 0.774065I
a = 0.010206 + 0.369341I
b = −0.96174 − 1.12426I
3.39442 + 6.97676I 0
u = 0.516183 + 0.952324I
a = 0.096371 − 1.136120I
b = 0.171266 + 0.931919I
7.58787 − 6.67654I 0
u = 0.516183 − 0.952324I
a = 0.096371 + 1.136120I
b = 0.171266 − 0.931919I
7.58787 + 6.67654I 0
u = 0.759634 + 0.512391I
a = −0.70862 − 2.12763I
b = 1.164990 − 0.017764I
− 1.02020I 0
u = 0.759634 − 0.512391I
a = −0.70862 + 2.12763I
b = 1.164990 + 0.017764I
1.02020I 0
u = 1.08633
a = 6.50562
b = 1.05342
1.48784 0
u = −0.880859 + 0.241700I
a = 0.39390 + 1.42044I
b = 1.45856 − 0.42854I
−7.58787 + 6.67654I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.880859 − 0.241700I
a = 0.39390 − 1.42044I
b = 1.45856 + 0.42854I
−7.58787 − 6.67654I 0
u = −0.807025 + 0.728809I
a = −0.164578 − 0.800281I
b = −0.106801 + 1.283040I
1.39846 + 5.82902I 0
u = −0.807025 − 0.728809I
a = −0.164578 + 0.800281I
b = −0.106801 − 1.283040I
1.39846 − 5.82902I 0
u = 0.498989 + 0.749781I
a = 0.405769 + 0.535961I
b = 0.159058 − 0.589326I
− 1.79018I 0
u = 0.498989 − 0.749781I
a = 0.405769 − 0.535961I
b = 0.159058 + 0.589326I
1.79018I 0
u = −0.890726 + 0.645966I
a = 0.425517 − 1.074820I
b = −0.1035150 + 0.0576443I
1.72248 + 9.63955I 0
u = −0.890726 − 0.645966I
a = 0.425517 + 1.074820I
b = −0.1035150 − 0.0576443I
1.72248 − 9.63955I 0
u = 1.10899
a = 0.611931
b = −0.365730
−2.37631 0
u = −0.891587 + 0.661946I
a = 0.279865 + 0.850269I
b = −0.390414 − 1.050390I
4.91380 + 5.50279I 0
u = −0.891587 − 0.661946I
a = 0.279865 − 0.850269I
b = −0.390414 + 1.050390I
4.91380 − 5.50279I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.721286 + 0.512414I
a = −0.226659 − 0.405159I
b = 1.039650 + 0.476428I
4.19522 + 0.69390I 0
u = −0.721286 − 0.512414I
a = −0.226659 + 0.405159I
b = 1.039650 − 0.476428I
4.19522 − 0.69390I 0
u = 0.933420 + 0.646785I
a = 0.403691 + 0.631654I
b = −0.253039 − 0.049643I
−0.61911 − 2.78150I 0
u = 0.933420 − 0.646785I
a = 0.403691 − 0.631654I
b = −0.253039 + 0.049643I
−0.61911 + 2.78150I 0
u = −0.899372 + 0.694857I
a = −0.230688 − 0.889354I
b = 0.059423 + 0.929752I
2.15753 + 4.93327I 0
u = −0.899372 − 0.694857I
a = −0.230688 + 0.889354I
b = 0.059423 − 0.929752I
2.15753 − 4.93327I 0
u = 0.854268 + 0.758556I
a = 0.285556 + 0.876813I
b = −0.695108 − 0.641861I
−0.22990 − 2.73957I 0
u = 0.854268 − 0.758556I
a = 0.285556 − 0.876813I
b = −0.695108 + 0.641861I
−0.22990 + 2.73957I 0
u = −0.816605 + 0.243167I
a = −0.634800 − 1.109670I
b = −1.51259 + 0.33584I
−4.64789 + 1.50476I 0
u = −0.816605 − 0.243167I
a = −0.634800 + 1.109670I
b = −1.51259 − 0.33584I
−4.64789 − 1.50476I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.843788
a = 0.0325475
b = 1.84418
−3.40001 0
u = −0.897255 + 0.740465I
a = −0.393272 + 0.603493I
b = −0.241623 + 0.009695I
−2.15753 + 4.93327I 0
u = −0.897255 − 0.740465I
a = −0.393272 − 0.603493I
b = −0.241623 − 0.009695I
−2.15753 − 4.93327I 0
u = 0.800657 + 0.211797I
a = −0.01681 + 2.46647I
b = −1.124590 − 0.178093I
−3.05517 − 0.85011I 0
u = 0.800657 − 0.211797I
a = −0.01681 − 2.46647I
b = −1.124590 + 0.178093I
−3.05517 + 0.85011I 0
u = 1.160810 + 0.178463I
a = 0.247574 − 0.306571I
b = −0.282293 + 0.050532I
−2.38361 − 0.03883I 0
u = 1.160810 − 0.178463I
a = 0.247574 + 0.306571I
b = −0.282293 − 0.050532I
−2.38361 + 0.03883I 0
u = −0.485978 + 1.071620I
a = 0.448650 + 0.443440I
b = −0.730761 − 0.451693I
4.84181 − 4.51668I 0
u = −0.485978 − 1.071620I
a = 0.448650 − 0.443440I
b = −0.730761 + 0.451693I
4.84181 + 4.51668I 0
u = 0.819600 + 0.063753I
a = −0.249531 + 1.353600I
b = 0.438924 − 0.619311I
1.45660 + 1.48786I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.819600 − 0.063753I
a = −0.249531 − 1.353600I
b = 0.438924 + 0.619311I
1.45660 − 1.48786I 0
u = −0.925365 + 0.737997I
a = 0.344697 + 1.021700I
b = 0.188307 − 0.905744I
6.86103 + 5.62133I 0
u = −0.925365 − 0.737997I
a = 0.344697 − 1.021700I
b = 0.188307 + 0.905744I
6.86103 − 5.62133I 0
u = −0.809191
a = −1.80913
b = 0.118236
8.08455 0
u = −0.726709 + 0.354257I
a = 1.20067 + 0.75389I
b = 0.297738 − 0.279599I
2.38361 − 0.03883I 0
u = −0.726709 − 0.354257I
a = 1.20067 − 0.75389I
b = 0.297738 + 0.279599I
2.38361 + 0.03883I 0
u = −0.787310
a = −0.370932
b = −1.68866
−4.12835 0
u = −0.648727 + 1.033260I
a = 0.426711 + 0.104654I
b = −1.246010 − 0.324832I
3.38143 − 3.80820I 0
u = −0.648727 − 1.033260I
a = 0.426711 − 0.104654I
b = −1.246010 + 0.324832I
3.38143 + 3.80820I 0
u = −0.737557 + 0.032144I
a = −0.84339 − 2.51654I
b = −1.236740 − 0.108960I
−1.82737 − 10.33300I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.737557 − 0.032144I
a = −0.84339 + 2.51654I
b = −1.236740 + 0.108960I
−1.82737 + 10.33300I 0
u = −0.720495 + 0.002427I
a = 1.12155 + 2.01585I
b = 1.288740 + 0.078429I
−6.86103 − 5.62133I 0
u = −0.720495 − 0.002427I
a = 1.12155 − 2.01585I
b = 1.288740 − 0.078429I
−6.86103 + 5.62133I 0
u = −0.428344 + 1.214070I
a = −0.287209 − 0.158425I
b = 1.011590 + 0.209467I
0.61911 − 2.78150I 0
u = −0.428344 − 1.214070I
a = −0.287209 + 0.158425I
b = 1.011590 − 0.209467I
0.61911 + 2.78150I 0
u = −0.710358 + 0.032872I
a = −1.14133 + 1.08383I
b = −1.372780 + 0.004924I
−4.19522 + 0.69390I 0
u = −0.710358 − 0.032872I
a = −1.14133 − 1.08383I
b = −1.372780 − 0.004924I
−4.19522 − 0.69390I 0
u = 0.858181 + 0.965391I
a = 0.001584 + 1.267320I
b = −1.40518 − 0.41108I
2.60387 − 11.50010I 0
u = 0.858181 − 0.965391I
a = 0.001584 − 1.267320I
b = −1.40518 + 0.41108I
2.60387 + 11.50010I 0
u = −1.31401
a = −0.330378
b = 0.870071
4.12835 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.350825 + 0.587374I
a = 1.049160 + 0.590441I
b = 0.281515 − 0.543907I
1.52906 − 1.26531I 0
u = −0.350825 − 0.587374I
a = 1.049160 − 0.590441I
b = 0.281515 + 0.543907I
1.52906 + 1.26531I 0
u = 0.661940 + 0.064824I
a = −0.32617 − 1.44844I
b = −1.39529 + 0.73494I
−2.13670 + 3.65468I 0
u = 0.661940 − 0.064824I
a = −0.32617 + 1.44844I
b = −1.39529 − 0.73494I
−2.13670 − 3.65468I 0
u = 0.043716 + 0.662779I
a = −0.093280 + 1.139950I
b = 1.138900 − 0.538085I
4.64789 − 1.50476I 0
u = 0.043716 − 0.662779I
a = −0.093280 − 1.139950I
b = 1.138900 + 0.538085I
4.64789 + 1.50476I 0
u = 1.34295
a = 0.560443
b = 1.42045
−8.08455 0
u = −1.128690 + 0.768112I
a = −0.249179 − 1.375290I
b = −1.40484 + 0.40131I
1.82737 + 10.33300I 0
u = −1.128690 − 0.768112I
a = −0.249179 + 1.375290I
b = −1.40484 − 0.40131I
1.82737 − 10.33300I 0
u = −0.577775 + 0.209403I
a = 0.800729 − 0.650904I
b = 0.104817 + 1.030250I
2.16133 − 6.12521I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.577775 − 0.209403I
a = 0.800729 + 0.650904I
b = 0.104817 − 1.030250I
2.16133 + 6.12521I 0
u = −1.184700 + 0.730411I
a = −0.257040 − 1.243740I
b = −1.083630 + 0.502462I
2.67378 + 10.96210I 0
u = −1.184700 − 0.730411I
a = −0.257040 + 1.243740I
b = −1.083630 − 0.502462I
2.67378 − 10.96210I 0
u = 1.051740 + 0.918641I
a = −0.241001 + 0.803338I
b = −0.283863 − 1.172900I
5.4746 − 14.2754I 0
u = 1.051740 − 0.918641I
a = −0.241001 − 0.803338I
b = −0.283863 + 1.172900I
5.4746 + 14.2754I 0
u = 1.00309 + 1.01079I
a = 0.143887 − 0.716339I
b = 0.321664 + 1.158560I
− 8.49285I 0
u = 1.00309 − 1.01079I
a = 0.143887 + 0.716339I
b = 0.321664 − 1.158560I
8.49285I 0
u = −1.20876 + 0.76953I
a = 0.236739 + 1.208780I
b = 1.288130 − 0.403420I
−1.72248 + 9.63955I 0
u = −1.20876 − 0.76953I
a = 0.236739 − 1.208780I
b = 1.288130 + 0.403420I
−1.72248 − 9.63955I 0
u = 0.79111 + 1.20705I
a = 0.361988 − 0.605250I
b = 0.241067 + 1.026750I
6.32408 + 6.86986I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.79111 − 1.20705I
a = 0.361988 + 0.605250I
b = 0.241067 − 1.026750I
6.32408 − 6.86986I 0
u = 0.245134 + 0.497972I
a = 4.11437 + 3.18869I
b = −1.368890 − 0.032325I
−1.58030 + 0.46294I 0
u = 0.245134 − 0.497972I
a = 4.11437 − 3.18869I
b = −1.368890 + 0.032325I
−1.58030 − 0.46294I 0
u = 0.93457 + 1.12100I
a = −0.090695 − 0.901901I
b = 1.284930 + 0.421779I
−2.16133 − 6.12521I 0
u = 0.93457 − 1.12100I
a = −0.090695 + 0.901901I
b = 1.284930 − 0.421779I
−2.16133 + 6.12521I 0
u = 0.04389 + 1.47330I
a = −0.294729 − 0.207666I
b = 0.962214 + 0.418918I
− 4.81270I 0
u = 0.04389 − 1.47330I
a = −0.294729 + 0.207666I
b = 0.962214 − 0.418918I
4.81270I 0
u = 0.519830 + 0.015541I
a = 1.24237 + 1.09659I
b = 1.73677 − 0.38370I
−4.61027 + 0.46725I 0
u = 0.519830 − 0.015541I
a = 1.24237 − 1.09659I
b = 1.73677 + 0.38370I
−4.61027 − 0.46725I 0
u = −1.28521 + 0.79379I
a = 0.226798 + 0.997773I
b = 1.43430 − 0.56296I
−3.41653 + 12.20260I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.28521 − 0.79379I
a = 0.226798 − 0.997773I
b = 1.43430 + 0.56296I
−3.41653 − 12.20260I 0
u = 0.19157 + 1.50400I
a = −0.212998 + 0.313651I
b = 1.169330 − 0.495890I
3.41653 + 12.20260I 0
u = 0.19157 − 1.50400I
a = −0.212998 − 0.313651I
b = 1.169330 + 0.495890I
3.41653 − 12.20260I 0
u = −0.480973
a = 2.88668
b = 0.106217
2.37631 0
u = 0.117245 + 0.451249I
a = 0.927082 − 0.011692I
b = −0.996224 − 0.461130I
−1.52906 − 1.26531I 0
u = 0.117245 − 0.451249I
a = 0.927082 + 0.011692I
b = −0.996224 + 0.461130I
−1.52906 + 1.26531I 0
u = −0.21205 + 1.54918I
a = −0.0959004 − 0.0643419I
b = 0.971988 − 0.072297I
0.22990 − 2.73957I 0
u = −0.21205 − 1.54918I
a = −0.0959004 + 0.0643419I
b = 0.971988 + 0.072297I
0.22990 + 2.73957I 0
u = −0.13587 + 1.55785I
a = 0.034728 − 0.286631I
b = −1.042460 + 0.483852I
−1.39846 + 5.82902I 0
u = −0.13587 − 1.55785I
a = 0.034728 + 0.286631I
b = −1.042460 − 0.483852I
−1.39846 − 5.82902I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.371066 + 0.192427I
a = −0.656278 + 0.113641I
b = −0.661992 − 0.953986I
−1.47653 − 1.54111I 0
u = −0.371066 − 0.192427I
a = −0.656278 − 0.113641I
b = −0.661992 + 0.953986I
−1.47653 + 1.54111I 0
u = 0.294221 + 0.296647I
a = −2.84996 − 2.89345I
b = 0.098650 + 0.103619I
3.05517 + 0.85011I 0
u = 0.294221 − 0.296647I
a = −2.84996 + 2.89345I
b = 0.098650 − 0.103619I
3.05517 − 0.85011I 0
u = −1.30497 + 0.90505I
a = 0.072952 + 1.005450I
b = 1.288790 − 0.163229I
−2.67378 + 10.96210I 0
u = −1.30497 − 0.90505I
a = 0.072952 − 1.005450I
b = 1.288790 + 0.163229I
−2.67378 − 10.96210I 0
u = 1.54013 + 0.38949I
a = −0.693517 + 0.608948I
b = −1.186680 − 0.066736I
−5.14963 − 0.61657I 0
u = 1.54013 − 0.38949I
a = −0.693517 − 0.608948I
b = −1.186680 + 0.066736I
−5.14963 + 0.61657I 0
u = −1.39496 + 0.76782I
a = −0.344955 − 0.821891I
b = −1.49499 + 0.53977I
−6.32408 + 6.86986I 0
u = −1.39496 − 0.76782I
a = −0.344955 + 0.821891I
b = −1.49499 − 0.53977I
−6.32408 − 6.86986I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.41047 + 0.78228I
a = 0.211639 − 0.770568I
b = 1.229280 + 0.183981I
−4.84181 − 4.51668I 0
u = 1.41047 − 0.78228I
a = 0.211639 + 0.770568I
b = 1.229280 − 0.183981I
−4.84181 + 4.51668I 0
u = 1.37417 + 0.85139I
a = 0.320094 − 1.045550I
b = 1.47594 + 0.50449I
− 20.1979I 0
u = 1.37417 − 0.85139I
a = 0.320094 + 1.045550I
b = 1.47594 − 0.50449I
20.1979I 0
u = −1.05442 + 1.29195I
a = −0.182324 + 0.538255I
b = 1.077050 + 0.072290I
−0.04971 − 3.50428I 0
u = −1.05442 − 1.29195I
a = −0.182324 − 0.538255I
b = 1.077050 − 0.072290I
−0.04971 + 3.50428I 0
u = 1.42501 + 0.89434I
a = −0.291876 + 0.922800I
b = −1.45902 − 0.48962I
−5.4746 − 14.2754I 0
u = 1.42501 − 0.89434I
a = −0.291876 − 0.922800I
b = −1.45902 + 0.48962I
−5.4746 + 14.2754I 0
u = 1.60799 + 0.62808I
a = −0.464146 + 0.326138I
b = −0.298446 − 0.470514I
4.61027 + 0.46725I 0
u = 1.60799 − 0.62808I
a = −0.464146 − 0.326138I
b = −0.298446 + 0.470514I
4.61027 − 0.46725I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.18179 + 1.30606I
a = 0.217129 + 0.434328I
b = 0.97255 − 1.43492I
−0.186585 − 0.003104I 0
u = −1.18179 − 1.30606I
a = 0.217129 − 0.434328I
b = 0.97255 + 1.43492I
−0.186585 + 0.003104I 0
u = −0.235257
a = 28.2846
b = 1.43694
−1.48784 −214.430
u = 1.09372 + 1.42524I
a = 0.0429520 − 0.0111718I
b = −1.125440 + 0.291405I
2.13670 + 3.65468I 0
u = 1.09372 − 1.42524I
a = 0.0429520 + 0.0111718I
b = −1.125440 − 0.291405I
2.13670 − 3.65468I 0
u = −1.56104 + 0.91702I
a = −0.199223 − 0.718712I
b = −1.178620 + 0.072627I
−4.91380 + 5.50279I 0
u = −1.56104 − 0.91702I
a = −0.199223 + 0.718712I
b = −1.178620 − 0.072627I
−4.91380 − 5.50279I 0
u = 1.49264 + 1.04186I
a = 0.218003 − 0.701350I
b = 1.34324 + 0.52436I
−3.39442 − 6.97676I 0
u = 1.49264 − 1.04186I
a = 0.218003 + 0.701350I
b = 1.34324 − 0.52436I
−3.39442 + 6.97676I 0
u = 1.15176 + 1.56674I
a = −0.185760 + 0.438799I
b = −1.01883 − 1.28747I
0.186585 − 0.003104I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.15176 − 1.56674I
a = −0.185760 − 0.438799I
b = −1.01883 + 1.28747I
0.186585 + 0.003104I 0
u = −2.00429
a = 0.655453
b = 1.06906
3.40001 0
20
II. I
u
2
= h3.31 × 10
20
u
23
+ 5.28 × 10
20
u
22
+ · · · + 1.04 × 10
20
b − 5.11 ×
10
20
, −1.66 × 10
21
u
23
− 5.94 × 10
21
u
22
+ · · · + 1.04 × 10
20
a − 2.53 ×
10
21
, 3u
24
+ 9u
23
+ · · · + 2u − 1i
(i) Arc colorings
a
1
=
1
0
a
5
=
0
u
a
2
=
1
u
2
a
9
=
15.9317u
23
+ 56.9188u
22
+ ··· + 50.9349u + 24.2612
−3.17139u
23
− 5.06341u
22
+ ··· − 7.79170u + 4.89781
a
10
=
12.1667u
23
+ 46.7699u
22
+ ··· + 43.9151u + 26.1178
−5.35993u
23
− 11.5619u
22
+ ··· − 9.81087u + 5.27989
a
6
=
−84.1044u
23
− 268.257u
22
+ ··· − 263.109u − 112.887
−12.3774u
23
− 31.9429u
22
+ ··· − 27.4410u − 3.91123
a
4
=
−78.1968u
23
− 259.494u
22
+ ··· − 248.256u − 114.772
−2.80662u
23
− 9.38843u
22
+ ··· − 12.2811u − 7.81972
a
8
=
12.7603u
23
+ 51.8554u
22
+ ··· + 43.1432u + 29.1590
−3.17139u
23
− 5.06341u
22
+ ··· − 7.79170u + 4.89781
a
7
=
429.521u
23
+ 1390.96u
22
+ ··· + 1349.20u + 600.421
22.3874u
23
+ 79.4556u
22
+ ··· + 71.7367u + 44.7039
a
12
=
−16.8085u
23
− 58.6731u
22
+ ··· − 76.3822u − 33.7916
6.65068u
23
+ 14.5110u
22
+ ··· + 10.5808u − 5.87098
a
3
=
−77.3125u
23
− 263.827u
22
+ ··· − 267.815u − 134.829
5.87064u
23
+ 7.58330u
22
+ ··· + 1.87252u − 14.4510
a
11
=
−467.874u
23
− 1518.35u
22
+ ··· − 1480.70u − 676.607
−27.2142u
23
− 92.5923u
22
+ ··· − 98.1327u − 45.7951
(ii) Obstruction class = 1
(iii) Cusp Shapes =
15567420443266398355
848453330711578363
u
23
+
65978204663978426720
848453330711578363
u
22
+ ··· +
254947120382131285522
2545359992134735089
u +
74454949588876009760
848453330711578363
21
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
3(3u
24
+ 9u
23
+ ··· + 2u − 1)
c
2
3(3u
24
− 9u
23
+ ··· − 2u − 1)
c
3
u
24
− u
23
+ ··· − 18u − 9
c
4
u
24
+ 10u
23
+ ··· + 9u − 1
c
5
u
24
+ 6u
23
+ ··· − 9u + 3
c
6
, c
12
3(3u
24
+ 3u
23
+ ··· + 8u + 1)
c
7
u
24
+ u
23
+ ··· + 18u − 9
c
8
, c
11
3(3u
24
− 3u
23
+ ··· − 8u + 1)
c
9
u
24
− 6u
23
+ ··· + 9u + 3
c
10
u
24
− 10u
23
+ ··· − 9u − 1
22
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
9(9y
24
− 81y
23
+ ··· − 44y + 1)
c
3
, c
7
y
24
− 31y
23
+ ··· − 1836y + 81
c
4
, c
10
y
24
− 52y
23
+ ··· − 45y + 1
c
5
, c
9
y
24
− 34y
23
+ ··· − 333y + 9
c
6
, c
8
, c
11
c
12
9(9y
24
− 207y
23
+ ··· − 66y + 1)
23
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.04789
a = −0.925033
b = −1.53325
−5.45173 −9.59660
u = 0.546418 + 0.906679I
a = 0.596614 + 0.410769I
b = −0.904773 − 0.576576I
−0.53851 − 4.24994I −5.32479 + 8.26548I
u = 0.546418 − 0.906679I
a = 0.596614 − 0.410769I
b = −0.904773 + 0.576576I
−0.53851 + 4.24994I −5.32479 − 8.26548I
u = 1.12745
a = 4.80711
b = 1.06362
1.45673 −68.9920
u = −0.578836 + 0.635036I
a = −0.180197 + 0.891009I
b = −0.452678 − 1.180190I
2.77736 + 7.43256I 0.14610 − 11.47542I
u = −0.578836 − 0.635036I
a = −0.180197 − 0.891009I
b = −0.452678 + 1.180190I
2.77736 − 7.43256I 0.14610 + 11.47542I
u = −1.18493
a = 1.42839
b = 0.831797
7.07081 3.06130
u = −0.935868 + 0.811428I
a = 0.28657 − 1.38912I
b = −1.262640 + 0.383347I
12.3496I 0. − 10.50236I
u = −0.935868 − 0.811428I
a = 0.28657 + 1.38912I
b = −1.262640 − 0.383347I
− 12.3496I 0. + 10.50236I
u = 1.23939
a = 0.513474
b = −0.172421
−2.21492 24.7010
24
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.720101
a = 0.181109
b = 1.91865
−5.22254 −15.1140
u = −0.706085
a = −1.91610
b = −0.400432
2.21492 −24.7010
u = 0.654088 + 0.146391I
a = −0.30593 + 2.16296I
b = −1.235470 − 0.282184I
−2.75396 − 0.98283I 0.959986 − 0.433541I
u = 0.654088 − 0.146391I
a = −0.30593 − 2.16296I
b = −1.235470 + 0.282184I
−2.75396 + 0.98283I 0.959986 + 0.433541I
u = 0.514095 + 0.366995I
a = 1.10106 + 1.32645I
b = 0.453363 + 0.040651I
2.75396 + 0.98283I −0.959986 + 0.433541I
u = 0.514095 − 0.366995I
a = 1.10106 − 1.32645I
b = 0.453363 − 0.040651I
2.75396 − 0.98283I −0.959986 − 0.433541I
u = 1.53908
a = 0.460925
b = 1.39354
−7.07081 −3.06130
u = −0.60614 + 1.60306I
a = 0.157800 + 0.018712I
b = −1.027200 − 0.271189I
0.53851 − 4.24994I 5.32479 + 8.26548I
u = −0.60614 − 1.60306I
a = 0.157800 − 0.018712I
b = −1.027200 + 0.271189I
0.53851 + 4.24994I 5.32479 − 8.26548I
u = −0.265637
a = −3.45975
b = 1.26748
5.45173 9.59660
25
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −1.29290 + 1.17328I
a = 0.024853 + 0.716678I
b = 1.199880 − 0.480769I
−2.77736 + 7.43256I 0. − 11.47542I
u = −1.29290 − 1.17328I
a = 0.024853 − 0.716678I
b = 1.199880 + 0.480769I
−2.77736 − 7.43256I 0. + 11.47542I
u = 0.236826
a = 21.0401
b = 1.45039
−1.45673 68.9920
u = −1.91558
a = −0.491834
b = −0.360339
5.22254 15.1140
26
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
9(3u
24
+ 9u
23
+ ··· + 2u − 1)
· (3u
152
− 6u
151
+ ··· + 1329546u − 103203)
c
2
9(3u
24
− 9u
23
+ ··· − 2u − 1)
· (3u
152
+ 6u
151
+ ··· − 1329546u − 103203)
c
3
(u
24
− u
23
+ ··· − 18u − 9)(u
152
+ 2u
151
+ ··· − 654u + 423)
c
4
(u
24
+ 10u
23
+ ··· + 9u − 1)(u
152
+ 3u
151
+ ··· + 13u + 1)
c
5
(u
24
+ 6u
23
+ ··· − 9u + 3)(u
152
− 9u
151
+ ··· + 47757u + 7809)
c
6
9(3u
24
+ 3u
23
+ ··· + 8u + 1)(3u
152
− 167u
150
+ ··· − 6u + 1)
c
7
(u
24
+ u
23
+ ··· + 18u − 9)(u
152
− 2u
151
+ ··· + 654u + 423)
c
8
9(3u
24
− 3u
23
+ ··· − 8u + 1)(3u
152
− 167u
150
+ ··· + 6u + 1)
c
9
(u
24
− 6u
23
+ ··· + 9u + 3)(u
152
+ 9u
151
+ ··· − 47757u + 7809)
c
10
(u
24
− 10u
23
+ ··· − 9u − 1)(u
152
− 3u
151
+ ··· − 13u + 1)
c
11
9(3u
24
− 3u
23
+ ··· − 8u + 1)(3u
152
− 167u
150
+ ··· − 6u + 1)
c
12
9(3u
24
+ 3u
23
+ ··· + 8u + 1)(3u
152
− 167u
150
+ ··· + 6u + 1)
27
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
2
81(9y
24
− 81y
23
+ ··· − 44y + 1)
· (9y
152
− 336y
151
+ ··· − 713599828776y + 10650859209)
c
3
, c
7
(y
24
− 31y
23
+ ··· − 1836y + 81)
· (y
152
− 42y
151
+ ··· + 3035808y + 178929)
c
4
, c
10
(y
24
− 52y
23
+ ··· − 45y + 1)(y
152
− 51y
151
+ ··· − 1445y + 1)
c
5
, c
9
(y
24
− 34y
23
+ ··· − 333y + 9)
· (y
152
− 57y
151
+ ··· − 11081005509y + 60980481)
c
6
, c
8
, c
11
c
12
81(9y
24
− 207y
23
+ ··· − 66y + 1)(9y
152
− 1002y
151
+ ··· − 342y + 1)
28
