12n
0885
(K12n
0885
)
A knot diagram
1
Linearized knot diagam
4 12 11 10 2 3 1 12 5 1 6 8
Solving Sequence
1,7 3,8
6 12 9 2 5 11 4 10
c
7
c
6
c
12
c
8
c
2
c
5
c
11
c
3
c
10
c
1
, c
4
, c
9
Ideals for irreducible components
2
of X
par
I
u
1
= h−7.56659 × 10
393
u
111
+ 5.31853 × 10
393
u
110
+ ··· + 6.91031 × 10
394
b + 9.38589 × 10
396
,
5.28363 × 10
395
u
111
− 1.20999 × 10
395
u
110
+ ··· + 1.17475 × 10
396
a − 6.03150 × 10
398
,
u
112
+ 2u
111
+ ··· + 459u + 289i
I
u
2
= h2210073442011996u
37
+ 2571675910997884u
36
+ ··· + 123978150535333b + 4009129869435240,
− 5.10927 × 10
15
u
37
− 2.87486 × 10
15
u
36
+ ··· + 1.23978 × 10
14
a − 2.73599 × 10
15
, u
38
+ u
37
+ ··· + 8u + 1i
* 2 irreducible components of dim
C
= 0, with total 150 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−7.57 × 10
393
u
111
+ 5.32 × 10
393
u
110
+ · · · + 6.91 × 10
394
b + 9.39 ×
10
396
, 5.28 × 10
395
u
111
− 1.21 × 10
395
u
110
+ · · · + 1.17 × 10
396
a − 6.03 ×
10
398
, u
112
+ 2u
111
+ · · · + 459u + 289i
(i) Arc colorings
a
1
=
0
u
a
7
=
1
0
a
3
=
−0.449765u
111
+ 0.103000u
110
+ ··· + 624.384u + 513.428
0.109497u
111
− 0.0769651u
110
+ ··· − 103.765u − 135.824
a
8
=
1
−u
2
a
6
=
1.62871u
111
+ 2.34289u
110
+ ··· − 75.5842u − 639.880
−0.509787u
111
− 1.11956u
110
+ ··· − 328.017u − 70.2302
a
12
=
−u
u
3
+ u
a
9
=
u
2
+ 1
−u
4
− 2u
2
a
2
=
−0.386026u
111
+ 0.114229u
110
+ ··· + 604.557u + 480.705
0.0590533u
111
− 0.163272u
110
+ ··· − 118.876u − 136.698
a
5
=
2.32825u
111
+ 5.23070u
110
+ ··· + 2599.85u + 493.752
2.02780u
111
+ 3.98309u
110
+ ··· + 1426.33u − 5.42016
a
11
=
1.31050u
111
+ 1.18092u
110
+ ··· − 634.760u − 1006.77
−0.942003u
111
− 2.32694u
110
+ ··· − 1021.96u − 273.577
a
4
=
−0.204868u
111
− 0.104364u
110
+ ··· − 296.422u + 33.2570
−0.836701u
111
− 2.01743u
110
+ ··· − 1104.03u − 284.727
a
10
=
1.31050u
111
+ 1.18092u
110
+ ··· − 634.760u − 1006.77
−0.361452u
111
− 1.80415u
110
+ ··· − 1304.23u − 689.763
(ii) Obstruction class = −1
(iii) Cusp Shapes = 4.15892u
111
+ 12.5312u
110
+ ··· + 6892.43u + 2672.74
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
112
+ 11u
111
+ ··· − 11u + 1
c
2
u
112
+ 2u
111
+ ··· − 245060u + 69175
c
3
u
112
+ 3u
111
+ ··· + 3092u + 3329
c
4
, c
9
u
112
+ u
111
+ ··· + 193u + 1
c
5
u
112
− 2u
111
+ ··· − 1572680u + 716581
c
6
u
112
− 7u
111
+ ··· + 312132u + 23423
c
7
, c
8
, c
12
u
112
− 2u
111
+ ··· − 459u + 289
c
10
u
112
+ u
111
+ ··· + 72748u + 7829
c
11
u
112
− 2u
111
+ ··· + 16u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
112
− 15y
111
+ ··· − 37y + 1
c
2
y
112
+ 20y
111
+ ··· + 765903812450y + 4785180625
c
3
y
112
+ 17y
111
+ ··· − 245986044y + 11082241
c
4
, c
9
y
112
+ 97y
111
+ ··· + 33271y + 1
c
5
y
112
+ 18y
111
+ ··· − 11466541483818y + 513488329561
c
6
y
112
− 9y
111
+ ··· − 1897506918y + 548636929
c
7
, c
8
, c
12
y
112
+ 48y
111
+ ··· + 4810983y + 83521
c
10
y
112
+ 39y
111
+ ··· − 3571112828y + 61293241
c
11
y
112
+ 30y
111
+ ··· + 192y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.010224 + 1.010630I
a = −0.565108 + 1.075190I
b = −0.481314 + 1.126550I
−2.39260 − 3.77429I 0
u = 0.010224 − 1.010630I
a = −0.565108 − 1.075190I
b = −0.481314 − 1.126550I
−2.39260 + 3.77429I 0
u = −0.812945 + 0.629113I
a = 1.006710 − 0.116134I
b = −1.064790 + 0.062857I
2.85892 − 1.65749I 0
u = −0.812945 − 0.629113I
a = 1.006710 + 0.116134I
b = −1.064790 − 0.062857I
2.85892 + 1.65749I 0
u = 0.717527 + 0.651268I
a = 0.88811 − 1.11391I
b = −1.20948 + 0.76438I
2.60302 − 1.92558I 0
u = 0.717527 − 0.651268I
a = 0.88811 + 1.11391I
b = −1.20948 − 0.76438I
2.60302 + 1.92558I 0
u = −0.593598 + 0.753642I
a = −0.688837 + 0.229659I
b = 0.628603 + 0.743308I
−0.256622 − 0.586000I 0
u = −0.593598 − 0.753642I
a = −0.688837 − 0.229659I
b = 0.628603 − 0.743308I
−0.256622 + 0.586000I 0
u = −0.605633 + 0.863987I
a = −1.14259 − 1.39421I
b = 0.441758 − 0.712141I
−0.56474 − 4.14412I 0
u = −0.605633 − 0.863987I
a = −1.14259 + 1.39421I
b = 0.441758 + 0.712141I
−0.56474 + 4.14412I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.600038 + 0.889896I
a = −1.318550 − 0.259925I
b = 0.324086 − 0.261126I
0.08866 − 2.33112I 0
u = −0.600038 − 0.889896I
a = −1.318550 + 0.259925I
b = 0.324086 + 0.261126I
0.08866 + 2.33112I 0
u = −0.128704 + 0.916543I
a = −1.10668 − 1.46919I
b = 0.646085 − 0.883968I
0.81583 − 5.97740I 0
u = −0.128704 − 0.916543I
a = −1.10668 + 1.46919I
b = 0.646085 + 0.883968I
0.81583 + 5.97740I 0
u = 0.707129 + 0.817332I
a = 0.518561 − 0.874958I
b = −0.627852 + 0.677662I
2.12801 − 3.19948I 0
u = 0.707129 − 0.817332I
a = 0.518561 + 0.874958I
b = −0.627852 − 0.677662I
2.12801 + 3.19948I 0
u = 0.703734 + 0.941380I
a = 1.77010 − 0.29305I
b = −0.822358 − 1.043520I
1.71948 + 8.64037I 0
u = 0.703734 − 0.941380I
a = 1.77010 + 0.29305I
b = −0.822358 + 1.043520I
1.71948 − 8.64037I 0
u = −0.772980 + 0.886031I
a = −0.641107 − 0.533275I
b = 0.670222 + 0.169400I
0.44460 − 1.60261I 0
u = −0.772980 − 0.886031I
a = −0.641107 + 0.533275I
b = 0.670222 − 0.169400I
0.44460 + 1.60261I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.840246 + 0.831516I
a = −1.228540 − 0.073457I
b = 0.894973 − 0.595162I
0.66730 − 4.44117I 0
u = −0.840246 − 0.831516I
a = −1.228540 + 0.073457I
b = 0.894973 + 0.595162I
0.66730 + 4.44117I 0
u = −0.840144 + 0.842227I
a = −1.65760 − 0.34454I
b = 1.48014 − 1.50201I
6.16132 − 7.16661I 0
u = −0.840144 − 0.842227I
a = −1.65760 + 0.34454I
b = 1.48014 + 1.50201I
6.16132 + 7.16661I 0
u = 0.954188 + 0.714485I
a = −0.800464 + 0.829167I
b = 1.321720 − 0.471927I
1.17560 − 5.72024I 0
u = 0.954188 − 0.714485I
a = −0.800464 − 0.829167I
b = 1.321720 + 0.471927I
1.17560 + 5.72024I 0
u = −0.059036 + 0.804581I
a = −3.99094 − 0.63958I
b = −0.255241 − 0.160120I
−2.07878 − 6.23665I 0
u = −0.059036 − 0.804581I
a = −3.99094 + 0.63958I
b = −0.255241 + 0.160120I
−2.07878 + 6.23665I 0
u = 0.089804 + 0.797050I
a = −0.999786 + 0.239726I
b = −0.245820 + 1.058670I
−1.51333 − 1.66775I 0
u = 0.089804 − 0.797050I
a = −0.999786 − 0.239726I
b = −0.245820 − 1.058670I
−1.51333 + 1.66775I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.448545 + 0.662618I
a = −0.546947 + 0.089449I
b = 0.086739 + 0.262305I
0.04786 − 1.76911I 0
u = −0.448545 − 0.662618I
a = −0.546947 − 0.089449I
b = 0.086739 − 0.262305I
0.04786 + 1.76911I 0
u = 1.101710 + 0.476207I
a = −0.808553 + 0.079696I
b = 1.091240 − 0.186893I
8.51602 − 4.13389I 0
u = 1.101710 − 0.476207I
a = −0.808553 − 0.079696I
b = 1.091240 + 0.186893I
8.51602 + 4.13389I 0
u = 0.851258 + 0.850692I
a = 0.766990 − 0.907488I
b = −0.295633 − 1.125820I
2.71011 + 8.27807I 0
u = 0.851258 − 0.850692I
a = 0.766990 + 0.907488I
b = −0.295633 + 1.125820I
2.71011 − 8.27807I 0
u = 0.353295 + 0.703837I
a = 0.428741 + 0.636394I
b = 0.36891 − 1.66008I
−2.96846 + 3.39223I 0
u = 0.353295 − 0.703837I
a = 0.428741 − 0.636394I
b = 0.36891 + 1.66008I
−2.96846 − 3.39223I 0
u = −0.885092 + 0.845173I
a = −0.552187 + 0.806856I
b = −1.00714 − 2.45174I
3.48223 − 7.89026I 0
u = −0.885092 − 0.845173I
a = −0.552187 − 0.806856I
b = −1.00714 + 2.45174I
3.48223 + 7.89026I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.168000 + 0.425870I
a = −0.974961 − 0.465503I
b = 1.39657 + 0.95645I
7.99615 + 2.91423I 0
u = −1.168000 − 0.425870I
a = −0.974961 + 0.465503I
b = 1.39657 − 0.95645I
7.99615 − 2.91423I 0
u = 0.153101 + 0.737841I
a = 3.02088 − 0.15622I
b = −1.64182 − 0.30778I
−1.82730 + 6.62412I 0
u = 0.153101 − 0.737841I
a = 3.02088 + 0.15622I
b = −1.64182 + 0.30778I
−1.82730 − 6.62412I 0
u = −0.112644 + 1.241550I
a = 0.153891 + 0.235932I
b = 0.778653 + 0.677481I
1.42418 − 1.09821I 0
u = −0.112644 − 1.241550I
a = 0.153891 − 0.235932I
b = 0.778653 − 0.677481I
1.42418 + 1.09821I 0
u = 0.864442 + 0.899652I
a = 1.182090 − 0.278870I
b = −0.572044 − 0.187611I
2.09442 + 3.19547I 0
u = 0.864442 − 0.899652I
a = 1.182090 + 0.278870I
b = −0.572044 + 0.187611I
2.09442 − 3.19547I 0
u = 0.669954 + 1.054250I
a = 1.63340 − 0.76545I
b = −1.23338 − 1.10889I
1.37396 + 7.30647I 0
u = 0.669954 − 1.054250I
a = 1.63340 + 0.76545I
b = −1.23338 + 1.10889I
1.37396 − 7.30647I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.843299 + 0.923345I
a = −1.270000 + 0.184509I
b = 1.021560 + 0.207033I
6.94915 + 8.95337I 0
u = 0.843299 − 0.923345I
a = −1.270000 − 0.184509I
b = 1.021560 − 0.207033I
6.94915 − 8.95337I 0
u = −0.034984 + 0.747340I
a = −0.49181 + 2.26827I
b = −0.023193 + 0.891633I
−2.96917 − 1.87590I 0
u = −0.034984 − 0.747340I
a = −0.49181 − 2.26827I
b = −0.023193 − 0.891633I
−2.96917 + 1.87590I 0
u = 0.862675 + 0.908381I
a = 1.19647 − 0.84731I
b = −1.80368 − 0.35487I
6.71889 + 3.19714I 0
u = 0.862675 − 0.908381I
a = 1.19647 + 0.84731I
b = −1.80368 + 0.35487I
6.71889 − 3.19714I 0
u = 0.867416 + 0.906743I
a = −0.957675 + 0.812797I
b = 0.831351 + 0.131063I
7.01588 − 2.60498I 0
u = 0.867416 − 0.906743I
a = −0.957675 − 0.812797I
b = 0.831351 − 0.131063I
7.01588 + 2.60498I 0
u = −0.028671 + 1.267850I
a = 0.108336 − 0.174158I
b = 0.503457 − 0.862215I
−6.65093 − 4.63965I 0
u = −0.028671 − 1.267850I
a = 0.108336 + 0.174158I
b = 0.503457 + 0.862215I
−6.65093 + 4.63965I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.821388 + 0.970905I
a = −0.282877 − 1.072230I
b = 1.70773 + 0.94201I
5.77564 + 0.96510I 0
u = −0.821388 − 0.970905I
a = −0.282877 + 1.072230I
b = 1.70773 − 0.94201I
5.77564 − 0.96510I 0
u = 0.033704 + 0.721762I
a = 1.81064 − 0.38034I
b = 0.118872 + 1.154120I
1.59669 + 5.57431I 0
u = 0.033704 − 0.721762I
a = 1.81064 + 0.38034I
b = 0.118872 − 1.154120I
1.59669 − 5.57431I 0
u = 0.174916 + 1.286800I
a = 0.616426 + 0.686059I
b = 0.414880 − 0.327866I
−4.99918 + 3.26807I 0
u = 0.174916 − 1.286800I
a = 0.616426 − 0.686059I
b = 0.414880 + 0.327866I
−4.99918 − 3.26807I 0
u = 0.212642 + 0.658814I
a = −2.15917 + 0.34791I
b = 1.56463 + 0.39719I
−3.62438 − 0.54544I 0
u = 0.212642 − 0.658814I
a = −2.15917 − 0.34791I
b = 1.56463 − 0.39719I
−3.62438 + 0.54544I 0
u = 1.140830 + 0.647861I
a = 0.897795 − 0.333185I
b = −1.50578 + 0.11998I
7.87514 + 2.68541I 0
u = 1.140830 − 0.647861I
a = 0.897795 + 0.333185I
b = −1.50578 − 0.11998I
7.87514 − 2.68541I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.998573 + 0.854753I
a = 0.975218 + 0.457198I
b = −1.77319 + 0.49323I
4.89520 − 3.41859I 0
u = −0.998573 − 0.854753I
a = 0.975218 − 0.457198I
b = −1.77319 − 0.49323I
4.89520 + 3.41859I 0
u = 0.869842 + 0.991031I
a = −0.169305 + 0.385479I
b = −0.466720 + 1.289420I
2.31179 − 1.90765I 0
u = 0.869842 − 0.991031I
a = −0.169305 − 0.385479I
b = −0.466720 − 1.289420I
2.31179 + 1.90765I 0
u = −1.204450 + 0.565041I
a = 0.844496 + 0.594811I
b = −1.55063 − 0.93005I
7.27555 + 11.72080I 0
u = −1.204450 − 0.565041I
a = 0.844496 − 0.594811I
b = −1.55063 + 0.93005I
7.27555 − 11.72080I 0
u = 0.808166 + 1.070570I
a = −1.33853 + 0.58619I
b = 1.41625 + 0.93683I
0.07313 + 12.19180I 0
u = 0.808166 − 1.070570I
a = −1.33853 − 0.58619I
b = 1.41625 − 0.93683I
0.07313 − 12.19180I 0
u = −0.725048 + 1.133240I
a = 0.562765 + 0.738364I
b = −0.833754 + 0.419374I
1.29566 − 4.18924I 0
u = −0.725048 − 1.133240I
a = 0.562765 − 0.738364I
b = −0.833754 − 0.419374I
1.29566 + 4.18924I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.882094 + 1.018760I
a = 1.145120 − 0.027396I
b = 0.05546 + 2.49898I
2.98824 + 1.36817I 0
u = −0.882094 − 1.018760I
a = 1.145120 + 0.027396I
b = 0.05546 − 2.49898I
2.98824 − 1.36817I 0
u = −0.193620 + 1.333660I
a = −0.407376 + 0.592281I
b = −0.261322 + 0.448925I
−3.37248 − 3.69505I 0
u = −0.193620 − 1.333660I
a = −0.407376 − 0.592281I
b = −0.261322 − 0.448925I
−3.37248 + 3.69505I 0
u = −0.946331 + 0.974359I
a = 0.813981 + 0.718416I
b = −1.81386 + 0.33000I
4.54955 − 3.62392I 0
u = −0.946331 − 0.974359I
a = 0.813981 − 0.718416I
b = −1.81386 − 0.33000I
4.54955 + 3.62392I 0
u = −0.061281 + 0.621635I
a = 3.88537 + 0.98413I
b = 0.107506 − 0.145973I
−3.40281 + 1.27636I −12.26288 − 7.00920I
u = −0.061281 − 0.621635I
a = 3.88537 − 0.98413I
b = 0.107506 + 0.145973I
−3.40281 − 1.27636I −12.26288 + 7.00920I
u = 0.775214 + 1.149470I
a = 0.748949 − 0.809684I
b = −1.226430 − 0.377536I
6.21815 + 4.16704I 0
u = 0.775214 − 1.149470I
a = 0.748949 + 0.809684I
b = −1.226430 + 0.377536I
6.21815 − 4.16704I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.75604 + 1.25684I
a = −0.670944 + 0.642989I
b = 0.863818 + 0.561419I
6.06867 + 10.85700I 0
u = 0.75604 − 1.25684I
a = −0.670944 − 0.642989I
b = 0.863818 − 0.561419I
6.06867 − 10.85700I 0
u = −0.82383 + 1.23170I
a = 1.24067 + 0.79563I
b = −1.41217 + 1.20906I
5.1520 − 18.9181I 0
u = −0.82383 − 1.23170I
a = 1.24067 − 0.79563I
b = −1.41217 − 1.20906I
5.1520 + 18.9181I 0
u = 0.160514 + 0.456663I
a = 0.214376 − 0.603944I
b = −0.36058 − 1.65122I
0.00787 + 4.61819I 11.4715 − 20.9048I
u = 0.160514 − 0.456663I
a = 0.214376 + 0.603944I
b = −0.36058 + 1.65122I
0.00787 − 4.61819I 11.4715 + 20.9048I
u = −0.78200 + 1.30530I
a = −1.14111 − 0.91394I
b = 1.35057 − 1.19576I
5.27061 − 9.92002I 0
u = −0.78200 − 1.30530I
a = −1.14111 + 0.91394I
b = 1.35057 + 1.19576I
5.27061 + 9.92002I 0
u = −0.039529 + 0.475721I
a = 1.27599 + 2.46240I
b = 0.297227 + 1.158780I
−3.21089 + 4.28979I 3.33448 − 5.18906I
u = −0.039529 − 0.475721I
a = 1.27599 − 2.46240I
b = 0.297227 − 1.158780I
−3.21089 − 4.28979I 3.33448 + 5.18906I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.422410 + 0.209414I
a = −0.555157 − 0.228123I
b = −0.469845 + 0.334236I
1.01948 − 1.23743I 4.20329 + 3.96512I
u = −0.422410 − 0.209414I
a = −0.555157 + 0.228123I
b = −0.469845 − 0.334236I
1.01948 + 1.23743I 4.20329 − 3.96512I
u = 0.371033 + 0.270161I
a = −2.48164 − 0.01149I
b = 0.500000 + 0.866025I
−1.90371 − 1.10694I −0.37097 − 1.58941I
u = 0.371033 − 0.270161I
a = −2.48164 + 0.01149I
b = 0.500000 − 0.866025I
−1.90371 + 1.10694I −0.37097 + 1.58941I
u = −0.09024 + 1.58410I
a = 0.113578 + 0.098809I
b = 0.281980 + 0.073712I
−7.89510 − 3.78041I 0
u = −0.09024 − 1.58410I
a = 0.113578 − 0.098809I
b = 0.281980 − 0.073712I
−7.89510 + 3.78041I 0
u = −0.133502 + 0.383101I
a = 0.02333 − 2.26395I
b = −0.651010 − 0.850791I
0.67686 + 1.58940I 3.58641 − 3.73774I
u = −0.133502 − 0.383101I
a = 0.02333 + 2.26395I
b = −0.651010 + 0.850791I
0.67686 − 1.58940I 3.58641 + 3.73774I
u = 0.02446 + 1.62419I
a = −0.01693 + 1.80129I
b = 0.25230 + 1.82144I
−8.41303 − 0.26302I 0
u = 0.02446 − 1.62419I
a = −0.01693 − 1.80129I
b = 0.25230 − 1.82144I
−8.41303 + 0.26302I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.02155 + 1.64538I
a = −0.318766 − 0.112674I
b = −1.308240 − 0.390378I
−1.26612 + 7.02528I 0
u = −0.02155 − 1.64538I
a = −0.318766 + 0.112674I
b = −1.308240 + 0.390378I
−1.26612 − 7.02528I 0
16
II.
I
u
2
= h2.21×10
15
u
37
+2.57×10
15
u
36
+· · ·+1.24×10
14
b+4.01×10
15
, −5.11×
10
15
u
37
−2.87×10
15
u
36
+· · ·+1.24×10
14
a−2.74×10
15
, u
38
+u
37
+· · ·+8u+1i
(i) Arc colorings
a
1
=
0
u
a
7
=
1
0
a
3
=
41.2110u
37
+ 23.1884u
36
+ ··· + 114.160u + 22.0683
−17.8263u
37
− 20.7430u
36
+ ··· − 226.039u − 32.3374
a
8
=
1
−u
2
a
6
=
4.89655u
37
+ 4.67887u
36
+ ··· − 340.218u − 77.1373
−14.7759u
37
− 12.3844u
36
+ ··· + 34.7831u + 13.1159
a
12
=
−u
u
3
+ u
a
9
=
u
2
+ 1
−u
4
− 2u
2
a
2
=
39.7874u
37
+ 27.1666u
36
+ ··· + 192.541u + 33.5465
−16.0273u
37
− 21.6073u
36
+ ··· − 262.630u − 38.4139
a
5
=
−4.15000u
37
+ 13.4658u
36
+ ··· + 91.2698u − 2.12113
4.91390u
37
+ 9.47159u
36
+ ··· − 1.86500u − 5.30295
a
11
=
−22.7763u
37
− 30.8521u
36
+ ··· − 543.188u − 89.0244
7.40997u
37
+ 9.61385u
36
+ ··· + 187.485u + 30.2573
a
4
=
28.2968u
37
+ 32.5127u
36
+ ··· + 322.063u + 44.5534
6.53872u
37
+ 7.14350u
36
+ ··· − 54.1511u − 18.4913
a
10
=
−22.7763u
37
− 30.8521u
36
+ ··· − 543.188u − 89.0244
6.73364u
37
+ 3.75440u
36
+ ··· + 100.102u + 22.1815
(ii) Obstruction class = 1
(iii) Cusp Shapes
= −
10085961989622165
123978150535333
u
37
−
6099794657326206
123978150535333
u
36
+···+
108833598907836563
123978150535333
u+
23076711760686256
123978150535333
17
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
38
− 20u
37
+ ··· + 2u + 1
c
2
u
38
+ 3u
37
+ ··· − 7u + 1
c
3
u
38
+ 12u
36
+ ··· + 3u + 1
c
4
u
38
− 2u
37
+ ··· − 4u + 1
c
5
u
38
− u
37
+ ··· + 19u + 1
c
6
u
38
− 2u
37
+ ··· + u + 1
c
7
, c
8
u
38
+ u
37
+ ··· + 8u + 1
c
9
u
38
+ 2u
37
+ ··· + 4u + 1
c
10
u
38
− 2u
37
+ ··· + u + 1
c
11
u
38
+ u
37
+ ··· − u + 1
c
12
u
38
− u
37
+ ··· − 8u + 1
18
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
38
− 20y
37
+ ··· − 58y + 1
c
2
y
38
− 17y
37
+ ··· − 23y + 1
c
3
y
38
+ 24y
37
+ ··· + 11y + 1
c
4
, c
9
y
38
+ 36y
37
+ ··· + 38y + 1
c
5
y
38
− 7y
37
+ ··· − 31y + 1
c
6
y
38
+ 22y
37
+ ··· − 11y + 1
c
7
, c
8
, c
12
y
38
+ 31y
37
+ ··· + 6y + 1
c
10
y
38
+ 10y
37
+ ··· − 29y + 1
c
11
y
38
+ 21y
37
+ ··· + 11y + 1
19
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.451306 + 0.903467I
a = −0.347563 + 0.407354I
b = 0.602503 + 0.864518I
0.190196 + 0.083583I −0.58496 − 4.03197I
u = −0.451306 − 0.903467I
a = −0.347563 − 0.407354I
b = 0.602503 − 0.864518I
0.190196 − 0.083583I −0.58496 + 4.03197I
u = −0.502516 + 0.939528I
a = −0.648488 − 1.170890I
b = 0.477032 − 0.725108I
−0.01101 − 3.80249I 2.30252 + 5.20448I
u = −0.502516 − 0.939528I
a = −0.648488 + 1.170890I
b = 0.477032 + 0.725108I
−0.01101 + 3.80249I 2.30252 − 5.20448I
u = −0.679005 + 0.836561I
a = −1.220540 − 0.184410I
b = 0.331870 − 0.217226I
−0.38007 − 2.62741I −9.36759 + 5.92322I
u = −0.679005 − 0.836561I
a = −1.220540 + 0.184410I
b = 0.331870 + 0.217226I
−0.38007 + 2.62741I −9.36759 − 5.92322I
u = 0.650130 + 0.871012I
a = 0.428864 − 1.104410I
b = −0.797116 + 0.624859I
2.75386 − 3.50131I 5.88588 + 6.73941I
u = 0.650130 − 0.871012I
a = 0.428864 + 1.104410I
b = −0.797116 − 0.624859I
2.75386 + 3.50131I 5.88588 − 6.73941I
u = 0.633254 + 0.981446I
a = 1.91001 − 0.52929I
b = −0.904993 − 1.076120I
2.33589 + 8.43047I 0. − 8.47626I
u = 0.633254 − 0.981446I
a = 1.91001 + 0.52929I
b = −0.904993 + 1.076120I
2.33589 − 8.43047I 0. + 8.47626I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.827672 + 0.840045I
a = 0.590176 + 0.105534I
b = 0.17950 − 1.72871I
4.17352 + 7.68243I 0. − 6.56215I
u = 0.827672 − 0.840045I
a = 0.590176 − 0.105534I
b = 0.17950 + 1.72871I
4.17352 − 7.68243I 0. + 6.56215I
u = 0.064547 + 1.219310I
a = −0.0218302 + 0.0346742I
b = −0.391760 − 0.884165I
−5.69012 + 4.66628I 0
u = 0.064547 − 1.219310I
a = −0.0218302 − 0.0346742I
b = −0.391760 + 0.884165I
−5.69012 − 4.66628I 0
u = 0.028072 + 1.261180I
a = 1.70413 − 0.11299I
b = 0.624024 − 0.020719I
−3.89122 + 6.23694I 0
u = 0.028072 − 1.261180I
a = 1.70413 + 0.11299I
b = 0.624024 + 0.020719I
−3.89122 − 6.23694I 0
u = −0.188978 + 1.254190I
a = −0.692499 + 1.176020I
b = −0.493782 − 0.015419I
−5.76997 − 2.65087I 0
u = −0.188978 − 1.254190I
a = −0.692499 − 1.176020I
b = −0.493782 + 0.015419I
−5.76997 + 2.65087I 0
u = 0.030199 + 0.730324I
a = −0.92630 + 1.93227I
b = −0.310248 + 1.140760I
−3.70220 − 4.25426I −14.0486 + 4.9324I
u = 0.030199 − 0.730324I
a = −0.92630 − 1.93227I
b = −0.310248 − 1.140760I
−3.70220 + 4.25426I −14.0486 − 4.9324I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.085739 + 1.325180I
a = 0.117496 − 0.588596I
b = 0.517700 − 0.894029I
−3.47421 − 4.67267I 0
u = −0.085739 − 1.325180I
a = 0.117496 + 0.588596I
b = 0.517700 + 0.894029I
−3.47421 + 4.67267I 0
u = −0.063279 + 0.664839I
a = −3.84161 − 1.01884I
b = 1.032070 − 0.160318I
−1.43779 − 6.31906I 5.25113 + 5.16598I
u = −0.063279 − 0.664839I
a = −3.84161 + 1.01884I
b = 1.032070 + 0.160318I
−1.43779 + 6.31906I 5.25113 − 5.16598I
u = −0.996727 + 0.906277I
a = −0.927992 − 0.551384I
b = 1.82220 − 0.48177I
4.88151 − 3.58975I 0
u = −0.996727 − 0.906277I
a = −0.927992 + 0.551384I
b = 1.82220 + 0.48177I
4.88151 + 3.58975I 0
u = 0.861802 + 1.054670I
a = −0.734314 − 0.025917I
b = −0.51066 + 1.96311I
3.53707 − 1.40582I 0
u = 0.861802 − 1.054670I
a = −0.734314 + 0.025917I
b = −0.51066 − 1.96311I
3.53707 + 1.40582I 0
u = −0.211084 + 0.566061I
a = 3.23929 + 0.50851I
b = −0.776498 + 0.496353I
−3.04438 + 0.86625I −1.39436 + 2.15949I
u = −0.211084 − 0.566061I
a = 3.23929 − 0.50851I
b = −0.776498 − 0.496353I
−3.04438 − 0.86625I −1.39436 − 2.15949I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.053582 + 0.542045I
a = 0.539577 + 0.224372I
b = 0.26427 + 1.57332I
−0.15942 + 4.43413I −10.53943 + 2.99543I
u = 0.053582 − 0.542045I
a = 0.539577 − 0.224372I
b = 0.26427 − 1.57332I
−0.15942 − 4.43413I −10.53943 − 2.99543I
u = −0.10799 + 1.55968I
a = −0.162070 − 0.007521I
b = −0.215243 − 0.226908I
−7.97802 − 3.71396I 0
u = −0.10799 − 1.55968I
a = −0.162070 + 0.007521I
b = −0.215243 + 0.226908I
−7.97802 + 3.71396I 0
u = −0.06838 + 1.63606I
a = 0.14157 + 1.77199I
b = −0.21790 + 1.85471I
−8.37277 + 0.50017I 0
u = −0.06838 − 1.63606I
a = 0.14157 − 1.77199I
b = −0.21790 − 1.85471I
−8.37277 − 0.50017I 0
u = −0.294252 + 0.005994I
a = 3.35210 + 1.68583I
b = −0.232974 − 0.860506I
−1.92475 − 2.02692I −0.97988 + 5.14562I
u = −0.294252 − 0.005994I
a = 3.35210 − 1.68583I
b = −0.232974 + 0.860506I
−1.92475 + 2.02692I −0.97988 − 5.14562I
23
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
38
− 20u
37
+ ··· + 2u + 1)(u
112
+ 11u
111
+ ··· − 11u + 1)
c
2
(u
38
+ 3u
37
+ ··· − 7u + 1)(u
112
+ 2u
111
+ ··· − 245060u + 69175)
c
3
(u
38
+ 12u
36
+ ··· + 3u + 1)(u
112
+ 3u
111
+ ··· + 3092u + 3329)
c
4
(u
38
− 2u
37
+ ··· − 4u + 1)(u
112
+ u
111
+ ··· + 193u + 1)
c
5
(u
38
− u
37
+ ··· + 19u + 1)(u
112
− 2u
111
+ ··· − 1572680u + 716581)
c
6
(u
38
− 2u
37
+ ··· + u + 1)(u
112
− 7u
111
+ ··· + 312132u + 23423)
c
7
, c
8
(u
38
+ u
37
+ ··· + 8u + 1)(u
112
− 2u
111
+ ··· − 459u + 289)
c
9
(u
38
+ 2u
37
+ ··· + 4u + 1)(u
112
+ u
111
+ ··· + 193u + 1)
c
10
(u
38
− 2u
37
+ ··· + u + 1)(u
112
+ u
111
+ ··· + 72748u + 7829)
c
11
(u
38
+ u
37
+ ··· − u + 1)(u
112
− 2u
111
+ ··· + 16u + 1)
c
12
(u
38
− u
37
+ ··· − 8u + 1)(u
112
− 2u
111
+ ··· − 459u + 289)
24
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
38
− 20y
37
+ ··· − 58y + 1)(y
112
− 15y
111
+ ··· − 37y + 1)
c
2
(y
38
− 17y
37
+ ··· − 23y + 1)
· (y
112
+ 20y
111
+ ··· + 765903812450y + 4785180625)
c
3
(y
38
+ 24y
37
+ ··· + 11y + 1)
· (y
112
+ 17y
111
+ ··· − 245986044y + 11082241)
c
4
, c
9
(y
38
+ 36y
37
+ ··· + 38y + 1)(y
112
+ 97y
111
+ ··· + 33271y + 1)
c
5
(y
38
− 7y
37
+ ··· − 31y + 1)
· (y
112
+ 18y
111
+ ··· − 11466541483818y + 513488329561)
c
6
(y
38
+ 22y
37
+ ··· − 11y + 1)
· (y
112
− 9y
111
+ ··· − 1897506918y + 548636929)
c
7
, c
8
, c
12
(y
38
+ 31y
37
+ ··· + 6y + 1)(y
112
+ 48y
111
+ ··· + 4810983y + 83521)
c
10
(y
38
+ 10y
37
+ ··· − 29y + 1)
· (y
112
+ 39y
111
+ ··· − 3571112828y + 61293241)
c
11
(y
38
+ 21y
37
+ ··· + 11y + 1)(y
112
+ 30y
111
+ ··· + 192y + 1)
25
