12a
0352
(K12a
0352
)
A knot diagram
1
Linearized knot diagam
3 6 9 7 11 2 12 1 4 8 5 10
Solving Sequence
3,9
4
6,10
2 7 1 8 11 5 12
c
3
c
9
c
2
c
6
c
1
c
8
c
10
c
5
c
12
c
4
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h2.96609 × 10
1105
u
176
− 3.83738 × 10
1104
u
175
+ ··· + 6.11633 × 10
1104
b − 9.51664 × 10
1107
,
− 2.51616 × 10
1108
u
176
+ 1.20236 × 10
1107
u
175
+ ··· + 1.95111 × 10
1107
a + 7.44748 × 10
1110
,
u
177
− u
176
+ ··· + 24611u + 319i
I
u
2
= h1.02869 × 10
49
u
47
− 3.44127 × 10
48
u
46
+ ··· + 1.10032 × 10
48
b + 1.08498 × 10
49
,
− 1.92965 × 10
50
u
47
− 2.46970 × 10
50
u
46
+ ··· + 1.44141 × 10
50
a + 3.77821 × 10
50
,
u
48
− 15u
46
+ ··· − 12u
2
+ 1i
* 2 irreducible components of dim
C
= 0, with total 225 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h2.97 × 10
1105
u
176
− 3.84 × 10
1104
u
175
+ · · · + 6.12 × 10
1104
b − 9.52 ×
10
1107
, −2.52 × 10
1108
u
176
+ 1.20 × 10
1107
u
175
+ · · · + 1.95 × 10
1107
a +
7.45 × 10
1110
, u
177
− u
176
+ · · · + 24611u + 319i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
6
=
12.8960u
176
− 0.616241u
175
+ ··· − 303378.u − 3817.04
−4.84946u
176
+ 0.627398u
175
+ ··· + 121459.u + 1555.94
a
10
=
u
−u
3
+ u
a
2
=
−1.21098u
176
− 2.03163u
175
+ ··· + 18885.2u + 182.856
7.95313u
176
+ 0.537132u
175
+ ··· − 197423.u − 2528.22
a
7
=
−12.9583u
176
+ 1.34468u
175
+ ··· + 396686.u + 5007.98
13.5311u
176
− 1.03585u
175
+ ··· − 386195.u − 4938.26
a
1
=
6.74216u
176
− 1.49450u
175
+ ··· − 178538.u − 2345.37
7.95313u
176
+ 0.537132u
175
+ ··· − 197423.u − 2528.22
a
8
=
21.1834u
176
− 0.888015u
175
+ ··· − 528541.u − 6688.59
−4.56245u
176
+ 0.393723u
175
+ ··· + 110071.u + 1407.01
a
11
=
−19.6697u
176
+ 0.463444u
175
+ ··· + 455722.u + 5893.01
2.02934u
176
+ 0.0106858u
175
+ ··· − 35113.8u − 448.517
a
5
=
−20.7020u
176
+ 1.82477u
175
+ ··· + 554243.u + 7140.03
1.33830u
176
+ 0.156511u
175
+ ··· − 30854.2u − 394.092
a
12
=
−0.212690u
176
− 2.01555u
175
+ ··· − 4391.01u − 114.140
8.31867u
176
+ 0.385996u
175
+ ··· − 209484.u − 2681.81
(ii) Obstruction class = −1
(iii) Cusp Shapes = −23.1089u
176
+ 4.66059u
175
+ ··· + 706669.u + 9028.87
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
177
+ 73u
176
+ ··· + 11276631u − 1297321
c
2
, c
6
u
177
− 3u
176
+ ··· − 6887u − 1139
c
3
, c
9
u
177
+ u
176
+ ··· + 24611u − 319
c
4
u
177
− 5u
176
+ ··· + 18338760u − 3131800
c
5
, c
11
u
177
+ u
176
+ ··· + 4629u − 4757
c
7
u
177
+ 3u
176
+ ··· − 5951521u − 528551
c
8
u
177
− 3u
176
+ ··· + 104415268440u − 9288287800
c
10
u
177
− 15u
176
+ ··· + 29069u − 1681
c
12
u
177
+ 17u
176
+ ··· + 483u + 11
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
177
+ 69y
176
+ ··· − 147038796812525y −1683041777041
c
2
, c
6
y
177
+ 73y
176
+ ··· + 11276631y −1297321
c
3
, c
9
y
177
− 115y
176
+ ··· + 299263541y −101761
c
4
y
177
− 7y
176
+ ··· − 1006072150632800y −9808171240000
c
5
, c
11
y
177
+ 103y
176
+ ··· − 778566563y −22629049
c
7
y
177
− 31y
176
+ ··· + 18076638788669y −279366159601
c
8
y
177
− 47y
176
+ ··· + 4.10 × 10
21
y −8.63 × 10
19
c
10
y
177
− 19y
176
+ ··· − 342723961y −2825761
c
12
y
177
− 15y
176
+ ··· + 3389y −121
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.973182 + 0.217001I
a = 1.71399 + 0.53877I
b = −0.540832 − 1.248140I
−3.01908 + 1.14097I 0
u = 0.973182 − 0.217001I
a = 1.71399 − 0.53877I
b = −0.540832 + 1.248140I
−3.01908 − 1.14097I 0
u = −0.993899 + 0.071284I
a = 1.81644 + 0.31446I
b = −0.677348 + 1.029230I
3.00302 − 1.00398I 0
u = −0.993899 − 0.071284I
a = 1.81644 − 0.31446I
b = −0.677348 − 1.029230I
3.00302 + 1.00398I 0
u = 0.999363 + 0.129740I
a = −2.45242 − 0.01630I
b = 0.759811 + 0.968001I
2.98085 + 5.50745I 0
u = 0.999363 − 0.129740I
a = −2.45242 + 0.01630I
b = 0.759811 − 0.968001I
2.98085 − 5.50745I 0
u = 0.788856 + 0.640660I
a = 0.246030 − 0.558015I
b = 0.465047 − 0.590023I
−1.57542 + 3.31184I 0
u = 0.788856 − 0.640660I
a = 0.246030 + 0.558015I
b = 0.465047 + 0.590023I
−1.57542 − 3.31184I 0
u = −0.547359 + 0.814883I
a = 1.367090 + 0.282359I
b = −0.113949 + 0.966419I
−2.65414 + 2.05064I 0
u = −0.547359 − 0.814883I
a = 1.367090 − 0.282359I
b = −0.113949 − 0.966419I
−2.65414 − 2.05064I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.848431 + 0.493734I
a = 0.699270 − 0.811450I
b = −0.234645 − 1.005600I
−1.87658 + 2.81067I 0
u = 0.848431 − 0.493734I
a = 0.699270 + 0.811450I
b = −0.234645 + 1.005600I
−1.87658 − 2.81067I 0
u = −1.018750 + 0.057637I
a = 0.000417 − 0.835658I
b = −0.205473 − 1.001370I
1.69901 − 0.92120I 0
u = −1.018750 − 0.057637I
a = 0.000417 + 0.835658I
b = −0.205473 + 1.001370I
1.69901 + 0.92120I 0
u = 0.488020 + 0.899488I
a = −1.297970 + 0.137273I
b = 0.341777 + 1.065650I
−6.91450 + 3.94045I 0
u = 0.488020 − 0.899488I
a = −1.297970 − 0.137273I
b = 0.341777 − 1.065650I
−6.91450 − 3.94045I 0
u = 0.905680 + 0.361635I
a = −2.12310 − 0.27755I
b = 0.927516 + 0.719232I
0.61525 + 4.20392I 0
u = 0.905680 − 0.361635I
a = −2.12310 + 0.27755I
b = 0.927516 − 0.719232I
0.61525 − 4.20392I 0
u = −0.963655 + 0.013676I
a = −2.51474 − 1.26141I
b = 0.622460 + 0.800809I
1.27019 − 0.73904I 0
u = −0.963655 − 0.013676I
a = −2.51474 + 1.26141I
b = 0.622460 − 0.800809I
1.27019 + 0.73904I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.951741 + 0.054623I
a = −0.182755 − 0.923549I
b = 0.17980 + 1.68565I
−4.42387 + 0.32102I 0
u = 0.951741 − 0.054623I
a = −0.182755 + 0.923549I
b = 0.17980 − 1.68565I
−4.42387 − 0.32102I 0
u = 0.948492 + 0.056418I
a = 3.22151 − 1.50521I
b = −0.578309 + 0.679607I
−1.16437 + 5.33260I 0
u = 0.948492 − 0.056418I
a = 3.22151 + 1.50521I
b = −0.578309 − 0.679607I
−1.16437 − 5.33260I 0
u = −0.944005 + 0.473346I
a = −1.286440 + 0.222316I
b = −0.273224 − 1.090570I
−4.29508 − 3.82033I 0
u = −0.944005 − 0.473346I
a = −1.286440 − 0.222316I
b = −0.273224 + 1.090570I
−4.29508 + 3.82033I 0
u = 0.438653 + 0.826052I
a = −1.064210 + 0.311156I
b = −0.007530 + 1.163200I
−7.31406 − 7.06957I 0
u = 0.438653 − 0.826052I
a = −1.064210 − 0.311156I
b = −0.007530 − 1.163200I
−7.31406 + 7.06957I 0
u = 0.766194 + 0.740817I
a = 0.700716 − 1.018480I
b = −0.513071 − 0.869825I
−1.63428 + 2.02135I 0
u = 0.766194 − 0.740817I
a = 0.700716 + 1.018480I
b = −0.513071 + 0.869825I
−1.63428 − 2.02135I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.058570 + 0.175312I
a = −1.59093 + 0.10254I
b = 1.343460 − 0.296937I
1.04789 − 6.97368I 0
u = −1.058570 − 0.175312I
a = −1.59093 − 0.10254I
b = 1.343460 + 0.296937I
1.04789 + 6.97368I 0
u = −0.918335
a = 0.646491
b = −0.613739
1.30008 0
u = 1.063940 + 0.228514I
a = −2.39872 − 0.88674I
b = 0.636394 + 0.898805I
0.95613 + 5.67641I 0
u = 1.063940 − 0.228514I
a = −2.39872 + 0.88674I
b = 0.636394 − 0.898805I
0.95613 − 5.67641I 0
u = −0.437350 + 0.793249I
a = −0.402756 − 0.736768I
b = 0.580315 − 1.041980I
−3.08165 − 7.82095I 0
u = −0.437350 − 0.793249I
a = −0.402756 + 0.736768I
b = 0.580315 + 1.041980I
−3.08165 + 7.82095I 0
u = −1.096930 + 0.003358I
a = −1.20696 − 1.25662I
b = 0.842595 + 0.774341I
3.58417 + 0.46139I 0
u = −1.096930 − 0.003358I
a = −1.20696 + 1.25662I
b = 0.842595 − 0.774341I
3.58417 − 0.46139I 0
u = 0.016998 + 1.099360I
a = −0.743087 − 0.338694I
b = 0.798304 − 0.556195I
−1.38811 + 8.54998I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.016998 − 1.099360I
a = −0.743087 + 0.338694I
b = 0.798304 + 0.556195I
−1.38811 − 8.54998I 0
u = 0.833080 + 0.298189I
a = −0.317648 − 0.796161I
b = 0.490994 − 0.053722I
−1.42981 + 3.53932I 0
u = 0.833080 − 0.298189I
a = −0.317648 + 0.796161I
b = 0.490994 + 0.053722I
−1.42981 − 3.53932I 0
u = −1.103440 + 0.194737I
a = 2.63622 − 1.29099I
b = −0.595127 + 0.996597I
−2.18412 − 10.04670I 0
u = −1.103440 − 0.194737I
a = 2.63622 + 1.29099I
b = −0.595127 − 0.996597I
−2.18412 + 10.04670I 0
u = 1.054480 + 0.387928I
a = 0.219118 − 0.222120I
b = −0.136225 + 1.326700I
−5.18585 + 0.72989I 0
u = 1.054480 − 0.387928I
a = 0.219118 + 0.222120I
b = −0.136225 − 1.326700I
−5.18585 − 0.72989I 0
u = 1.121660 + 0.108047I
a = 0.82782 − 1.23460I
b = 0.033177 − 0.825641I
−0.12373 + 5.19711I 0
u = 1.121660 − 0.108047I
a = 0.82782 + 1.23460I
b = 0.033177 + 0.825641I
−0.12373 − 5.19711I 0
u = 0.059653 + 0.850635I
a = 0.605448 + 0.615999I
b = −0.683318 + 0.939852I
1.32226 − 3.17752I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.059653 − 0.850635I
a = 0.605448 − 0.615999I
b = −0.683318 − 0.939852I
1.32226 + 3.17752I 0
u = −1.067160 + 0.450432I
a = 0.314701 + 0.307816I
b = −0.092513 + 1.229360I
−0.92822 − 6.71625I 0
u = −1.067160 − 0.450432I
a = 0.314701 − 0.307816I
b = −0.092513 − 1.229360I
−0.92822 + 6.71625I 0
u = −0.780451 + 0.283123I
a = −1.293050 + 0.503740I
b = 0.21164 − 1.41057I
−2.40099 − 1.38490I 0
u = −0.780451 − 0.283123I
a = −1.293050 − 0.503740I
b = 0.21164 + 1.41057I
−2.40099 + 1.38490I 0
u = 0.674296 + 0.478552I
a = 1.39976 − 0.70878I
b = −0.000556 − 0.950010I
−2.42144 + 1.37494I 0
u = 0.674296 − 0.478552I
a = 1.39976 + 0.70878I
b = −0.000556 + 0.950010I
−2.42144 − 1.37494I 0
u = 0.362750 + 0.741930I
a = 0.542606 − 0.555182I
b = −0.753746 + 0.859730I
−0.736764 − 0.032136I 0
u = 0.362750 − 0.741930I
a = 0.542606 + 0.555182I
b = −0.753746 − 0.859730I
−0.736764 + 0.032136I 0
u = 1.075180 + 0.487306I
a = −0.671409 − 0.005983I
b = 0.188532 + 1.368120I
−5.31229 + 11.91120I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.075180 − 0.487306I
a = −0.671409 + 0.005983I
b = 0.188532 − 1.368120I
−5.31229 − 11.91120I 0
u = −1.149770 + 0.304605I
a = 1.79161 − 1.12092I
b = −0.429332 + 0.820411I
−2.20660 − 1.60161I 0
u = −1.149770 − 0.304605I
a = 1.79161 + 1.12092I
b = −0.429332 − 0.820411I
−2.20660 + 1.60161I 0
u = −0.140203 + 0.794773I
a = −0.167669 + 0.729881I
b = 0.608005 + 1.061680I
0.01438 + 6.61227I 0
u = −0.140203 − 0.794773I
a = −0.167669 − 0.729881I
b = 0.608005 − 1.061680I
0.01438 − 6.61227I 0
u = −0.433278 + 0.674203I
a = −0.272369 − 0.668242I
b = 0.620632 + 1.031920I
−1.05576 + 1.47563I 0
u = −0.433278 − 0.674203I
a = −0.272369 + 0.668242I
b = 0.620632 − 1.031920I
−1.05576 − 1.47563I 0
u = 0.002501 + 0.792415I
a = −0.837985 − 0.503965I
b = 0.563389 + 0.099209I
−4.12440 − 0.51751I 0
u = 0.002501 − 0.792415I
a = −0.837985 + 0.503965I
b = 0.563389 − 0.099209I
−4.12440 + 0.51751I 0
u = −0.062312 + 1.209600I
a = 0.686123 − 0.350289I
b = −0.654572 − 0.668707I
1.53561 − 2.42439I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.062312 − 1.209600I
a = 0.686123 + 0.350289I
b = −0.654572 + 0.668707I
1.53561 + 2.42439I 0
u = 0.175064 + 0.766948I
a = 0.354860 + 0.308031I
b = −0.725520 + 0.758680I
1.87024 − 2.20760I 0
u = 0.175064 − 0.766948I
a = 0.354860 − 0.308031I
b = −0.725520 − 0.758680I
1.87024 + 2.20760I 0
u = 1.206750 + 0.146636I
a = 0.802325 + 0.203486I
b = −0.801442 − 0.267772I
4.59443 + 3.99257I 0
u = 1.206750 − 0.146636I
a = 0.802325 − 0.203486I
b = −0.801442 + 0.267772I
4.59443 − 3.99257I 0
u = 0.712914 + 0.324628I
a = 1.72143 − 0.60135I
b = −0.069220 − 1.029410I
−2.42470 + 1.41217I 0
u = 0.712914 − 0.324628I
a = 1.72143 + 0.60135I
b = −0.069220 + 1.029410I
−2.42470 − 1.41217I 0
u = −1.000280 + 0.730885I
a = −0.199559 + 0.117901I
b = −0.532944 − 0.854451I
−1.59120 + 2.21437I 0
u = −1.000280 − 0.730885I
a = −0.199559 − 0.117901I
b = −0.532944 + 0.854451I
−1.59120 − 2.21437I 0
u = 1.110100 + 0.573351I
a = 0.556768 − 0.516321I
b = −0.748577 + 0.864278I
3.25949 − 2.82517I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.110100 − 0.573351I
a = 0.556768 + 0.516321I
b = −0.748577 − 0.864278I
3.25949 + 2.82517I 0
u = −1.021770 + 0.734633I
a = 1.43388 + 0.42056I
b = −0.730025 + 0.843920I
3.31118 − 2.77410I 0
u = −1.021770 − 0.734633I
a = 1.43388 − 0.42056I
b = −0.730025 − 0.843920I
3.31118 + 2.77410I 0
u = 1.261400 + 0.000967I
a = 0.406000 − 0.854735I
b = −0.585213 + 0.659972I
4.23225 − 4.10830I 0
u = 1.261400 − 0.000967I
a = 0.406000 + 0.854735I
b = −0.585213 − 0.659972I
4.23225 + 4.10830I 0
u = 1.216100 + 0.344269I
a = 1.008970 − 0.747490I
b = −1.044980 + 0.425362I
5.58419 + 5.14090I 0
u = 1.216100 − 0.344269I
a = 1.008970 + 0.747490I
b = −1.044980 − 0.425362I
5.58419 − 5.14090I 0
u = −0.378993 + 1.207040I
a = −0.630861 − 0.585109I
b = 0.220400 − 0.957766I
−7.13322 − 1.96627I 0
u = −0.378993 − 1.207040I
a = −0.630861 + 0.585109I
b = 0.220400 + 0.957766I
−7.13322 + 1.96627I 0
u = 0.112962 + 1.264650I
a = −0.666386 − 0.283252I
b = 0.671238 − 1.061380I
−2.8885 − 14.0890I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.112962 − 1.264650I
a = −0.666386 + 0.283252I
b = 0.671238 + 1.061380I
−2.8885 + 14.0890I 0
u = 0.590390 + 0.428507I
a = −1.07153 − 2.07774I
b = −0.347921 − 0.341709I
−1.76113 + 6.50394I 0
u = 0.590390 − 0.428507I
a = −1.07153 + 2.07774I
b = −0.347921 + 0.341709I
−1.76113 − 6.50394I 0
u = −0.671776 + 0.274725I
a = −0.95599 − 1.51612I
b = 0.325869 − 1.181150I
−5.25872 + 0.25749I 0
u = −0.671776 − 0.274725I
a = −0.95599 + 1.51612I
b = 0.325869 + 1.181150I
−5.25872 − 0.25749I 0
u = −1.237890 + 0.385141I
a = 2.03915 + 0.74837I
b = −0.580553 + 0.959104I
3.70830 − 6.48584I 0
u = −1.237890 − 0.385141I
a = 2.03915 − 0.74837I
b = −0.580553 − 0.959104I
3.70830 + 6.48584I 0
u = −1.288930 + 0.161588I
a = 1.37042 + 0.52823I
b = −1.099140 − 0.538137I
4.26223 − 4.79564I 0
u = −1.288930 − 0.161588I
a = 1.37042 − 0.52823I
b = −1.099140 + 0.538137I
4.26223 + 4.79564I 0
u = −0.675087 + 0.139909I
a = 2.59429 − 0.53834I
b = −1.017840 + 0.819221I
−0.68170 − 5.71867I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.675087 − 0.139909I
a = 2.59429 + 0.53834I
b = −1.017840 − 0.819221I
−0.68170 + 5.71867I 0
u = 0.687793 + 0.022979I
a = 2.51226 + 0.38229I
b = −0.235478 + 0.860906I
−2.50820 − 1.52281I 0
u = 0.687793 − 0.022979I
a = 2.51226 − 0.38229I
b = −0.235478 − 0.860906I
−2.50820 + 1.52281I 0
u = −1.220910 + 0.493574I
a = 1.81006 + 0.23637I
b = −0.705579 + 1.180590I
3.27495 − 11.39830I 0
u = −1.220910 − 0.493574I
a = 1.81006 − 0.23637I
b = −0.705579 − 1.180590I
3.27495 + 11.39830I 0
u = −1.264660 + 0.396776I
a = −0.884869 − 0.933485I
b = 0.948874 + 0.666518I
6.10407 − 1.93125I 0
u = −1.264660 − 0.396776I
a = −0.884869 + 0.933485I
b = 0.948874 − 0.666518I
6.10407 + 1.93125I 0
u = −1.107120 + 0.745191I
a = −0.378569 − 0.178163I
b = 0.045965 − 1.043160I
−4.82189 − 4.66261I 0
u = −1.107120 − 0.745191I
a = −0.378569 + 0.178163I
b = 0.045965 + 1.043160I
−4.82189 + 4.66261I 0
u = 0.625015 + 0.194950I
a = 0.103639 + 0.317972I
b = 0.727362 + 0.181793I
−1.24547 − 3.75573I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.625015 − 0.194950I
a = 0.103639 − 0.317972I
b = 0.727362 − 0.181793I
−1.24547 + 3.75573I 0
u = −0.168439 + 1.336410I
a = 0.641041 − 0.295738I
b = −0.635267 − 0.984473I
0.58060 + 7.47862I 0
u = −0.168439 − 1.336410I
a = 0.641041 + 0.295738I
b = −0.635267 + 0.984473I
0.58060 − 7.47862I 0
u = 1.253630 + 0.514584I
a = −1.90519 + 0.28569I
b = 0.762189 + 1.059240I
4.86898 + 8.18256I 0
u = 1.253630 − 0.514584I
a = −1.90519 − 0.28569I
b = 0.762189 − 1.059240I
4.86898 − 8.18256I 0
u = −0.146700 + 0.615497I
a = 0.162106 + 0.424960I
b = 0.648168 + 0.510438I
1.63803 − 1.65210I 0
u = −0.146700 − 0.615497I
a = 0.162106 − 0.424960I
b = 0.648168 − 0.510438I
1.63803 + 1.65210I 0
u = −1.289210 + 0.501785I
a = −0.839544 − 0.772616I
b = 0.812654 + 0.773210I
5.07984 − 1.66911I 0
u = −1.289210 − 0.501785I
a = −0.839544 + 0.772616I
b = 0.812654 − 0.773210I
5.07984 + 1.66911I 0
u = 1.347330 + 0.315089I
a = 1.61810 + 0.25928I
b = −0.769989 − 1.162960I
2.30708 + 11.45130I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.347330 − 0.315089I
a = 1.61810 − 0.25928I
b = −0.769989 + 1.162960I
2.30708 − 11.45130I 0
u = −0.313636 + 0.528859I
a = 1.272530 − 0.601548I
b = 0.189522 − 0.081162I
0.18631 − 2.24194I 0
u = −0.313636 − 0.528859I
a = 1.272530 + 0.601548I
b = 0.189522 + 0.081162I
0.18631 + 2.24194I 0
u = 1.242070 + 0.636273I
a = −1.73342 + 0.28099I
b = 0.762743 + 0.955887I
4.52463 + 7.56262I 0
u = 1.242070 − 0.636273I
a = −1.73342 − 0.28099I
b = 0.762743 − 0.955887I
4.52463 − 7.56262I 0
u = 1.335890 + 0.406350I
a = −2.23905 + 0.29473I
b = 0.709694 + 0.962754I
4.10687 + 9.50700I 0
u = 1.335890 − 0.406350I
a = −2.23905 − 0.29473I
b = 0.709694 − 0.962754I
4.10687 − 9.50700I 0
u = 1.366680 + 0.291902I
a = 0.473709 − 1.279870I
b = −0.558902 + 0.745551I
4.42120 + 1.91460I 0
u = 1.366680 − 0.291902I
a = 0.473709 + 1.279870I
b = −0.558902 − 0.745551I
4.42120 − 1.91460I 0
u = −0.587631 + 0.130275I
a = −0.39460 + 1.50127I
b = 0.516013 + 1.135190I
−3.95552 + 8.36986I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.587631 − 0.130275I
a = −0.39460 − 1.50127I
b = 0.516013 − 1.135190I
−3.95552 − 8.36986I 0
u = −0.376491 + 0.453124I
a = 2.49048 + 0.77312I
b = −0.823960 + 0.841560I
−0.68753 − 5.80633I 0
u = −0.376491 − 0.453124I
a = 2.49048 − 0.77312I
b = −0.823960 − 0.841560I
−0.68753 + 5.80633I 0
u = −1.36077 + 0.40187I
a = 1.005570 + 0.379327I
b = −0.778295 − 0.315313I
0.21672 − 3.85632I 0
u = −1.36077 − 0.40187I
a = 1.005570 − 0.379327I
b = −0.778295 + 0.315313I
0.21672 + 3.85632I 0
u = −0.475564 + 0.310681I
a = 0.403310 + 0.187418I
b = −0.488714 + 0.336833I
1.090270 − 0.492115I 0
u = −0.475564 − 0.310681I
a = 0.403310 − 0.187418I
b = −0.488714 − 0.336833I
1.090270 + 0.492115I 0
u = −1.39057 + 0.34745I
a = −0.88626 − 1.23693I
b = 0.762472 + 0.761682I
4.73035 − 3.91494I 0
u = −1.39057 − 0.34745I
a = −0.88626 + 1.23693I
b = 0.762472 − 0.761682I
4.73035 + 3.91494I 0
u = −1.35093 + 0.52888I
a = 1.001490 + 0.776419I
b = −1.012780 − 0.583607I
2.8779 − 14.2528I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.35093 − 0.52888I
a = 1.001490 − 0.776419I
b = −1.012780 + 0.583607I
2.8779 + 14.2528I 0
u = 1.37969 + 0.52306I
a = −0.911285 + 0.680132I
b = 0.909116 − 0.582529I
6.11765 + 8.32238I 0
u = 1.37969 − 0.52306I
a = −0.911285 − 0.680132I
b = 0.909116 + 0.582529I
6.11765 − 8.32238I 0
u = 0.450217 + 0.252513I
a = 0.951234 + 1.032270I
b = −0.469280 + 1.043250I
−0.86356 − 3.43380I 0
u = 0.450217 − 0.252513I
a = 0.951234 − 1.032270I
b = −0.469280 − 1.043250I
−0.86356 + 3.43380I 0
u = 1.48229 + 0.09678I
a = −1.078690 + 0.461118I
b = 0.766207 − 0.559300I
7.66173 − 1.07541I 0
u = 1.48229 − 0.09678I
a = −1.078690 − 0.461118I
b = 0.766207 + 0.559300I
7.66173 + 1.07541I 0
u = −1.48833 + 0.15690I
a = −1.348940 + 0.205805I
b = 0.627240 − 1.141720I
5.81920 − 4.18806I 0
u = −1.48833 − 0.15690I
a = −1.348940 − 0.205805I
b = 0.627240 + 1.141720I
5.81920 + 4.18806I 0
u = 1.37959 + 0.61981I
a = 1.76958 − 0.13025I
b = −0.750118 − 1.134090I
1.1417 + 20.6476I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.37959 − 0.61981I
a = 1.76958 + 0.13025I
b = −0.750118 + 1.134090I
1.1417 − 20.6476I 0
u = −1.38914 + 0.64053I
a = −1.67159 − 0.19228I
b = 0.715427 − 1.092640I
4.5474 − 14.3132I 0
u = −1.38914 − 0.64053I
a = −1.67159 + 0.19228I
b = 0.715427 + 1.092640I
4.5474 + 14.3132I 0
u = 1.45269 + 0.48564I
a = 1.20931 − 0.73958I
b = −0.774728 + 0.675798I
0.91984 + 4.83839I 0
u = 1.45269 − 0.48564I
a = 1.20931 + 0.73958I
b = −0.774728 − 0.675798I
0.91984 − 4.83839I 0
u = 1.47605 + 0.47003I
a = 1.58192 − 0.22546I
b = −0.663832 − 0.824304I
3.26259 − 2.52324I 0
u = 1.47605 − 0.47003I
a = 1.58192 + 0.22546I
b = −0.663832 + 0.824304I
3.26259 + 2.52324I 0
u = 0.10111 + 1.54862I
a = −0.647239 − 0.302119I
b = 0.477141 − 0.900262I
−6.55188 − 1.91422I 0
u = 0.10111 − 1.54862I
a = −0.647239 + 0.302119I
b = 0.477141 + 0.900262I
−6.55188 + 1.91422I 0
u = 1.43818 + 0.60356I
a = 1.48853 − 0.10057I
b = −0.606291 − 1.090940I
−1.90960 + 8.94858I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.43818 − 0.60356I
a = 1.48853 + 0.10057I
b = −0.606291 + 1.090940I
−1.90960 − 8.94858I 0
u = −1.50211 + 0.44231I
a = −1.50280 − 0.09812I
b = 0.649658 − 0.961092I
6.55512 − 3.95531I 0
u = −1.50211 − 0.44231I
a = −1.50280 + 0.09812I
b = 0.649658 + 0.961092I
6.55512 + 3.95531I 0
u = −1.56092 + 0.15130I
a = 0.594017 + 0.557081I
b = −0.238310 − 0.662500I
0.65463 − 4.46211I 0
u = −1.56092 − 0.15130I
a = 0.594017 − 0.557081I
b = −0.238310 + 0.662500I
0.65463 + 4.46211I 0
u = −0.173510 + 0.359360I
a = 0.65293 + 3.56191I
b = 0.493666 + 0.677282I
0.31902 + 3.08507I 0
u = −0.173510 − 0.359360I
a = 0.65293 − 3.56191I
b = 0.493666 − 0.677282I
0.31902 − 3.08507I 0
u = −1.51352 + 0.62605I
a = 1.75001 − 0.10272I
b = −0.698604 + 1.009330I
−0.08906 − 10.42650I 0
u = −1.51352 − 0.62605I
a = 1.75001 + 0.10272I
b = −0.698604 − 1.009330I
−0.08906 + 10.42650I 0
u = −1.65216 + 0.35355I
a = 0.870363 + 0.627589I
b = −0.648517 − 0.881231I
3.08556 + 7.61720I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.65216 − 0.35355I
a = 0.870363 − 0.627589I
b = −0.648517 + 0.881231I
3.08556 − 7.61720I 0
u = 1.71026 + 0.21810I
a = −0.894554 + 0.485870I
b = 0.594468 − 0.708708I
7.38222 − 1.02655I 0
u = 1.71026 − 0.21810I
a = −0.894554 − 0.485870I
b = 0.594468 + 0.708708I
7.38222 + 1.02655I 0
u = −0.09850 + 1.80702I
a = −1.003410 + 0.096482I
b = 0.611061 + 0.868445I
−5.35139 + 2.40163I 0
u = −0.09850 − 1.80702I
a = −1.003410 − 0.096482I
b = 0.611061 − 0.868445I
−5.35139 − 2.40163I 0
u = −0.0254690 + 0.0037288I
a = −15.1691 + 22.5096I
b = 0.277658 + 1.164180I
−5.23946 − 0.57060I −1.41308 + 2.59115I
u = −0.0254690 − 0.0037288I
a = −15.1691 − 22.5096I
b = 0.277658 − 1.164180I
−5.23946 + 0.57060I −1.41308 − 2.59115I
22
II. I
u
2
= h1.03 × 10
49
u
47
− 3.44 × 10
48
u
46
+ · · · + 1.10 × 10
48
b + 1.08 ×
10
49
, −1.93 × 10
50
u
47
− 2.47 × 10
50
u
46
+ · · · + 1.44 × 10
50
a + 3.78 ×
10
50
, u
48
− 15u
46
+ · · · − 12u
2
+ 1i
(i) Arc colorings
a
3
=
1
0
a
9
=
0
u
a
4
=
1
−u
2
a
6
=
1.33872u
47
+ 1.71338u
46
+ ··· + 6.61634u − 2.62118
−9.34907u
47
+ 3.12753u
46
+ ··· + 25.3985u − 9.86061
a
10
=
u
−u
3
+ u
a
2
=
−12.9177u
47
+ 4.92238u
46
+ ··· + 37.1255u − 19.0838
−3.40215u
47
+ 0.808224u
46
+ ··· + 10.2804u − 4.51725
a
7
=
−5.07777u
47
− 0.512430u
46
+ ··· + 24.5017u − 4.49473
−0.651115u
47
− 0.0885318u
46
+ ··· + 13.7499u − 3.12291
a
1
=
−16.3198u
47
+ 5.73061u
46
+ ··· + 47.4059u − 23.6010
−3.40215u
47
+ 0.808224u
46
+ ··· + 10.2804u − 4.51725
a
8
=
20.4402u
47
− 10.9573u
46
+ ··· − 37.2550u + 31.0161
15.3569u
47
− 8.32374u
46
+ ··· − 34.4888u + 21.9430
a
11
=
−16.3489u
47
+ 10.9104u
46
+ ··· + 10.4758u − 21.8091
−10.5036u
47
+ 6.25010u
46
+ ··· + 15.6290u − 15.0329
a
5
=
23.2301u
47
− 13.0536u
46
+ ··· − 67.3382u + 44.7275
3.84764u
47
− 6.28352u
46
+ ··· − 22.1147u + 19.8991
a
12
=
−18.7376u
47
+ 6.18811u
46
+ ··· + 55.6441u − 27.9876
−5.78561u
47
+ 1.98873u
46
+ ··· + 16.1009u − 8.44635
(ii) Obstruction class = 1
(iii) Cusp Shapes = 64.4088u
47
− 53.7712u
46
+ ··· − 176.460u + 149.512
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
48
− 26u
47
+ ··· − 18u + 1
c
2
u
48
− 2u
47
+ ··· − 2u + 1
c
3
u
48
− 15u
46
+ ··· − 12u
2
+ 1
c
4
u
48
− 6u
47
+ ··· − 49u + 7
c
5
u
48
+ 14u
46
+ ··· + 12u
2
+ 1
c
6
u
48
+ 2u
47
+ ··· + 2u + 1
c
7
u
48
+ 2u
47
+ ··· + 12u + 1
c
8
u
48
− 2u
47
+ ··· + 80u + 23
c
9
u
48
− 15u
46
+ ··· − 12u
2
+ 1
c
10
u
48
+ 6u
47
+ ··· + 2u + 1
c
11
u
48
+ 14u
46
+ ··· + 12u
2
+ 1
c
12
u
48
− 2u
47
+ ··· + 10u + 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
48
− 2y
47
+ ··· + 30y + 1
c
2
, c
6
y
48
+ 26y
47
+ ··· + 18y + 1
c
3
, c
9
y
48
− 30y
47
+ ··· − 24y + 1
c
4
y
48
+ 14y
47
+ ··· + 777y + 49
c
5
, c
11
y
48
+ 28y
47
+ ··· + 24y + 1
c
7
y
48
+ 2y
47
+ ··· − 48y + 1
c
8
y
48
+ 2y
47
+ ··· + 224y + 529
c
10
y
48
− 30y
47
+ ··· − 6y + 1
c
12
y
48
− 18y
47
+ ··· − 20y + 1
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.889825 + 0.518019I
a = 1.80815 − 0.10924I
b = −0.047282 − 0.753781I
−2.73387 + 0.01146I 0
u = 0.889825 − 0.518019I
a = 1.80815 + 0.10924I
b = −0.047282 + 0.753781I
−2.73387 − 0.01146I 0
u = −0.951875 + 0.138587I
a = −0.334638 + 0.760647I
b = 0.13084 − 1.63169I
−4.43551 − 0.58390I 2.0028 + 16.2432I
u = −0.951875 − 0.138587I
a = −0.334638 − 0.760647I
b = 0.13084 + 1.63169I
−4.43551 + 0.58390I 2.0028 − 16.2432I
u = 0.889547 + 0.565104I
a = 0.047378 − 1.295340I
b = −0.102902 − 0.786800I
−2.62756 + 4.18235I 0. − 7.36368I
u = 0.889547 − 0.565104I
a = 0.047378 + 1.295340I
b = −0.102902 + 0.786800I
−2.62756 − 4.18235I 0. + 7.36368I
u = −0.965951 + 0.526217I
a = −0.958662 + 0.305495I
b = −0.121614 − 1.056300I
−3.72391 − 3.22895I 0
u = −0.965951 − 0.526217I
a = −0.958662 − 0.305495I
b = −0.121614 + 1.056300I
−3.72391 + 3.22895I 0
u = 0.856961 + 0.258390I
a = 1.51289 + 0.16347I
b = −0.164358 − 1.290890I
−1.78208 + 1.17282I 13.02825 + 0.I
u = 0.856961 − 0.258390I
a = 1.51289 − 0.16347I
b = −0.164358 + 1.290890I
−1.78208 − 1.17282I 13.02825 + 0.I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.841254 + 0.305265I
a = −0.020362 − 0.484761I
b = 0.145064 − 1.222170I
−4.60731 − 0.27605I 2.44349 + 1.94872I
u = −0.841254 − 0.305265I
a = −0.020362 + 0.484761I
b = 0.145064 + 1.222170I
−4.60731 + 0.27605I 2.44349 − 1.94872I
u = 0.870794 + 0.122933I
a = −2.35243 − 0.87636I
b = 1.045900 + 0.603390I
−0.06716 + 6.15392I 5.95047 − 9.91121I
u = 0.870794 − 0.122933I
a = −2.35243 + 0.87636I
b = 1.045900 − 0.603390I
−0.06716 − 6.15392I 5.95047 + 9.91121I
u = −1.269380 + 0.108065I
a = 0.026858 + 0.382069I
b = 0.428326 − 0.333221I
3.93733 − 3.44130I 0
u = −1.269380 − 0.108065I
a = 0.026858 − 0.382069I
b = 0.428326 + 0.333221I
3.93733 + 3.44130I 0
u = −0.681125 + 0.195669I
a = 2.99227 − 0.06784I
b = −0.721916 + 0.676215I
1.09472 − 3.38207I 8.82119 + 1.92307I
u = −0.681125 − 0.195669I
a = 2.99227 + 0.06784I
b = −0.721916 − 0.676215I
1.09472 + 3.38207I 8.82119 − 1.92307I
u = 1.306170 + 0.012158I
a = 0.826767 + 0.130480I
b = −0.633744 + 0.355811I
1.73423 − 5.27368I 0
u = 1.306170 − 0.012158I
a = 0.826767 − 0.130480I
b = −0.633744 − 0.355811I
1.73423 + 5.27368I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.642454 + 0.258028I
a = 1.61414 − 2.95477I
b = 0.314945 − 0.624169I
−2.09836 + 5.55440I −3.59886 − 5.34510I
u = 0.642454 − 0.258028I
a = 1.61414 + 2.95477I
b = 0.314945 + 0.624169I
−2.09836 − 5.55440I −3.59886 + 5.34510I
u = 0.182364 + 0.665547I
a = 0.339016 + 1.300980I
b = −0.626389 + 0.880116I
0.56138 − 4.50405I 2.40712 + 5.40589I
u = 0.182364 − 0.665547I
a = 0.339016 − 1.300980I
b = −0.626389 − 0.880116I
0.56138 + 4.50405I 2.40712 − 5.40589I
u = 0.103711 + 0.656824I
a = −0.093319 − 0.197303I
b = −0.622867 + 0.875541I
0.578464 − 0.377675I 4.36687 − 0.40824I
u = 0.103711 − 0.656824I
a = −0.093319 + 0.197303I
b = −0.622867 − 0.875541I
0.578464 + 0.377675I 4.36687 + 0.40824I
u = 1.256880 + 0.450553I
a = −2.11207 + 0.39237I
b = 0.717849 + 1.019840I
3.94516 + 8.69281I 0
u = 1.256880 − 0.450553I
a = −2.11207 − 0.39237I
b = 0.717849 − 1.019840I
3.94516 − 8.69281I 0
u = −1.297160 + 0.328571I
a = −0.686522 − 1.186170I
b = 0.761710 + 0.656932I
5.02024 − 3.04347I 0
u = −1.297160 − 0.328571I
a = −0.686522 + 1.186170I
b = 0.761710 − 0.656932I
5.02024 + 3.04347I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.177810 + 1.392590I
a = −0.753326 − 0.386516I
b = 0.343078 − 0.861002I
−6.81132 − 1.46823I 0
u = −0.177810 − 1.392590I
a = −0.753326 + 0.386516I
b = 0.343078 + 0.861002I
−6.81132 + 1.46823I 0
u = −0.581096 + 0.110194I
a = 1.16401 − 0.93125I
b = 0.459133 − 1.103980I
−3.99173 − 8.97524I −0.30215 + 12.65038I
u = −0.581096 − 0.110194I
a = 1.16401 + 0.93125I
b = 0.459133 + 1.103980I
−3.99173 + 8.97524I −0.30215 − 12.65038I
u = 1.46634 + 0.20133I
a = 1.25035 − 0.75962I
b = −0.661333 + 0.589109I
2.02213 + 4.60561I 0
u = 1.46634 − 0.20133I
a = 1.25035 + 0.75962I
b = −0.661333 − 0.589109I
2.02213 − 4.60561I 0
u = −1.43218 + 0.42197I
a = 1.78924 − 0.16787I
b = −0.665956 + 1.046080I
0.64064 − 9.87076I 0
u = −1.43218 − 0.42197I
a = 1.78924 + 0.16787I
b = −0.665956 − 1.046080I
0.64064 + 9.87076I 0
u = −0.354598 + 0.314584I
a = 0.12357 − 3.00850I
b = −0.383799 − 0.770145I
−0.162415 − 0.926112I 1.309215 − 0.134615I
u = −0.354598 − 0.314584I
a = 0.12357 + 3.00850I
b = −0.383799 + 0.770145I
−0.162415 + 0.926112I 1.309215 + 0.134615I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.51867 + 0.20704I
a = −1.350890 − 0.161366I
b = 0.621394 + 1.105100I
5.71350 + 4.03465I 0
u = 1.51867 − 0.20704I
a = −1.350890 + 0.161366I
b = 0.621394 − 1.105100I
5.71350 − 4.03465I 0
u = 0.348702 + 0.279082I
a = −0.927322 + 0.405720I
b = −0.401495 − 0.966747I
−0.86996 + 4.25965I 3.60455 − 8.35046I
u = 0.348702 − 0.279082I
a = −0.927322 − 0.405720I
b = −0.401495 + 0.966747I
−0.86996 − 4.25965I 3.60455 + 8.35046I
u = −1.68971 + 0.11577I
a = −0.941860 − 0.410884I
b = 0.573061 + 0.623889I
7.31004 + 0.79160I 0
u = −1.68971 − 0.11577I
a = −0.941860 + 0.410884I
b = 0.573061 − 0.623889I
7.31004 − 0.79160I 0
u = −0.09028 + 1.82936I
a = −0.963237 + 0.112557I
b = 0.612358 + 0.865347I
−5.22636 + 2.40786I 0
u = −0.09028 − 1.82936I
a = −0.963237 − 0.112557I
b = 0.612358 − 0.865347I
−5.22636 − 2.40786I 0
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
48
− 26u
47
+ ··· − 18u + 1)
· (u
177
+ 73u
176
+ ··· + 11276631u − 1297321)
c
2
(u
48
− 2u
47
+ ··· − 2u + 1)(u
177
− 3u
176
+ ··· − 6887u − 1139)
c
3
(u
48
− 15u
46
+ ··· − 12u
2
+ 1)(u
177
+ u
176
+ ··· + 24611u − 319)
c
4
(u
48
− 6u
47
+ ··· − 49u + 7)
· (u
177
− 5u
176
+ ··· + 18338760u − 3131800)
c
5
(u
48
+ 14u
46
+ ··· + 12u
2
+ 1)(u
177
+ u
176
+ ··· + 4629u − 4757)
c
6
(u
48
+ 2u
47
+ ··· + 2u + 1)(u
177
− 3u
176
+ ··· − 6887u − 1139)
c
7
(u
48
+ 2u
47
+ ··· + 12u + 1)(u
177
+ 3u
176
+ ··· − 5951521u − 528551)
c
8
(u
48
− 2u
47
+ ··· + 80u + 23)
· (u
177
− 3u
176
+ ··· + 104415268440u − 9288287800)
c
9
(u
48
− 15u
46
+ ··· − 12u
2
+ 1)(u
177
+ u
176
+ ··· + 24611u − 319)
c
10
(u
48
+ 6u
47
+ ··· + 2u + 1)(u
177
− 15u
176
+ ··· + 29069u − 1681)
c
11
(u
48
+ 14u
46
+ ··· + 12u
2
+ 1)(u
177
+ u
176
+ ··· + 4629u − 4757)
c
12
(u
48
− 2u
47
+ ··· + 10u + 1)(u
177
+ 17u
176
+ ··· + 483u + 11)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
48
− 2y
47
+ ··· + 30y + 1)
· (y
177
+ 69y
176
+ ··· − 147038796812525y −1683041777041)
c
2
, c
6
(y
48
+ 26y
47
+ ··· + 18y + 1)
· (y
177
+ 73y
176
+ ··· + 11276631y −1297321)
c
3
, c
9
(y
48
− 30y
47
+ ··· − 24y + 1)
· (y
177
− 115y
176
+ ··· + 299263541y −101761)
c
4
(y
48
+ 14y
47
+ ··· + 777y + 49)
· (y
177
− 7y
176
+ ··· − 1006072150632800y −9808171240000)
c
5
, c
11
(y
48
+ 28y
47
+ ··· + 24y + 1)
· (y
177
+ 103y
176
+ ··· − 778566563y −22629049)
c
7
(y
48
+ 2y
47
+ ··· − 48y + 1)
· (y
177
− 31y
176
+ ··· + 18076638788669y −279366159601)
c
8
(y
48
+ 2y
47
+ ··· + 224y + 529)
· (y
177
− 47y
176
+ ··· + 4.10 × 10
21
y −8.63 × 10
19
)
c
10
(y
48
− 30y
47
+ ··· − 6y + 1)
· (y
177
− 19y
176
+ ··· − 342723961y −2825761)
c
12
(y
48
− 18y
47
+ ··· − 20y + 1)(y
177
− 15y
176
+ ··· + 3389y −121)
34
