12a
0472
(K12a
0472
)
A knot diagram
1
Linearized knot diagam
3 6 11 8 7 2 10 12 5 1 9 4
Solving Sequence
3,6
2
7,10
8 1 11 4 5 9 12
c
2
c
6
c
7
c
1
c
10
c
3
c
5
c
9
c
12
c
4
, c
8
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−3.80673 × 10
16
u
62
− 2.40994 × 10
17
u
61
+ ··· + 6.68228 × 10
14
b + 5.92854 × 10
17
,
5.92854 × 10
17
u
62
+ 6.30921 × 10
18
u
61
+ ··· + 6.68228 × 10
15
a + 9.39437 × 10
18
,
u
63
+ 10u
62
+ ··· + 26u + 10i
I
u
2
= h−u
42
− 2u
41
+ ··· + 2b − 10, −10u
42
a + 10u
42
+ ··· + 13a − 27, u
43
− 3u
42
+ ··· + 5u
2
+ 1i
I
u
3
= h2u
22
+ 16u
21
+ ··· + b + 31, −31u
22
+ 97u
21
+ ··· + 2a + 74, u
23
− 3u
22
+ ··· − 2u + 2i
I
u
4
= ha
3
u − a
3
− a
2
u + a
2
+ 6au + 3b + 3a − u + 1, a
4
− 3a
2
u − a
2
− 2au − 2a − 2u − 2, u
2
+ u + 1i
* 4 irreducible components of dim
C
= 0, with total 180 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−3.81 × 10
16
u
62
− 2.41 × 10
17
u
61
+ · · · + 6.68 × 10
14
b + 5.93 ×
10
17
, 5.93 × 10
17
u
62
+ 6.31 × 10
18
u
61
+ · · · + 6.68 × 10
15
a + 9.39 ×
10
18
, u
63
+ 10u
62
+ · · · + 26u + 10i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
7
=
u
u
3
+ u
a
10
=
−88.7203u
62
− 944.171u
61
+ ··· − 2753.65u − 1405.86
56.9675u
62
+ 360.646u
61
+ ··· − 900.864u − 887.203
a
8
=
19.0481u
62
+ 241.655u
61
+ ··· + 1061.36u + 631.264
−51.1743u
62
− 411.730u
61
+ ··· − 135.013u + 190.481
a
1
=
u
2
+ 1
u
2
a
11
=
−41.9861u
62
− 384.463u
61
+ ··· − 676.460u − 233.296
11.6546u
62
+ 53.7990u
61
+ ··· − 419.518u − 348.043
a
4
=
36.7915u
62
+ 341.158u
61
+ ··· + 606.220u + 216.945
30.2923u
62
+ 321.272u
61
+ ··· + 973.954u + 507.932
a
5
=
u
3
u
5
+ u
3
+ u
a
9
=
−51.9436u
62
− 525.909u
61
+ ··· − 1320.98u − 613.500
27.9487u
62
+ 173.947u
61
+ ··· − 497.766u − 483.244
a
12
=
−18.0981u
62
− 158.934u
61
+ ··· − 263.436u − 62.0849
19.5842u
62
+ 181.155u
61
+ ··· + 283.762u + 67.1158
(ii) Obstruction class = −1
(iii) Cusp Shapes =
289193695666494042
668227596996943
u
62
+
2659979644074475993
668227596996943
u
61
+ ··· +
4339716891634397392
668227596996943
u +
1553531502950905056
668227596996943
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
63
+ 18u
62
+ ··· − 444u − 100
c
2
, c
6
u
63
− 10u
62
+ ··· + 26u − 10
c
3
, c
9
u
63
− u
62
+ ··· + 40u − 19
c
4
, c
12
u
63
+ 3u
62
+ ··· + 6u − 1
c
7
, c
10
u
63
+ 3u
62
+ ··· + 6u − 1
c
8
, c
11
u
63
+ 15u
62
+ ··· − 1262u − 50
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
63
+ 58y
62
+ ··· + 948336y −10000
c
2
, c
6
y
63
+ 18y
62
+ ··· − 444y −100
c
3
, c
9
y
63
− 17y
62
+ ··· + 8174y −361
c
4
, c
12
y
63
+ 51y
62
+ ··· − 106y −1
c
7
, c
10
y
63
+ 11y
62
+ ··· − 4y −1
c
8
, c
11
y
63
+ 31y
62
+ ··· + 249244y −2500
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.214740 + 0.981355I
a = −0.198641 − 0.968427I
b = −0.907715 + 0.402897I
−7.36523 + 3.21246I 0
u = 0.214740 − 0.981355I
a = −0.198641 + 0.968427I
b = −0.907715 − 0.402897I
−7.36523 − 3.21246I 0
u = 0.374009 + 0.963149I
a = −0.568883 + 0.321223I
b = 0.522153 + 0.427779I
−6.48970 + 2.46067I 0
u = 0.374009 − 0.963149I
a = −0.568883 − 0.321223I
b = 0.522153 − 0.427779I
−6.48970 − 2.46067I 0
u = −0.299758 + 0.918244I
a = −0.445543 − 0.542182I
b = −0.631410 + 0.246594I
−1.73788 − 2.23954I 0
u = −0.299758 − 0.918244I
a = −0.445543 + 0.542182I
b = −0.631410 − 0.246594I
−1.73788 + 2.23954I 0
u = 0.155216 + 1.032550I
a = 0.281341 − 0.492123I
b = −0.551808 − 0.214112I
−3.10710 − 1.65886I 0
u = 0.155216 − 1.032550I
a = 0.281341 + 0.492123I
b = −0.551808 + 0.214112I
−3.10710 + 1.65886I 0
u = −0.614389 + 0.883223I
a = −1.400550 + 0.059590I
b = −0.80785 + 1.27361I
−1.53239 − 1.91777I 0
u = −0.614389 − 0.883223I
a = −1.400550 − 0.059590I
b = −0.80785 − 1.27361I
−1.53239 + 1.91777I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.672802 + 0.858411I
a = −0.13281 + 2.03041I
b = 1.65357 + 1.48007I
−1.46510 − 3.14067I 0
u = −0.672802 − 0.858411I
a = −0.13281 − 2.03041I
b = 1.65357 − 1.48007I
−1.46510 + 3.14067I 0
u = 0.331456 + 1.046790I
a = 0.081594 + 0.703396I
b = 0.709261 − 0.318557I
−2.13998 + 8.18690I 0
u = 0.331456 − 1.046790I
a = 0.081594 − 0.703396I
b = 0.709261 + 0.318557I
−2.13998 − 8.18690I 0
u = −0.808939 + 0.780802I
a = 1.92700 − 1.48246I
b = 0.40132 − 2.70383I
−0.78075 + 1.95102I 0
u = −0.808939 − 0.780802I
a = 1.92700 + 1.48246I
b = 0.40132 + 2.70383I
−0.78075 − 1.95102I 0
u = 0.759333 + 0.855848I
a = −0.502843 + 0.116993I
b = 0.481953 + 0.341521I
0.04511 + 2.18210I 0
u = 0.759333 − 0.855848I
a = −0.502843 − 0.116993I
b = 0.481953 − 0.341521I
0.04511 − 2.18210I 0
u = −0.727325 + 0.884801I
a = 0.763795 − 1.130980I
b = −0.44517 − 1.49840I
1.42954 − 2.77384I 0
u = −0.727325 − 0.884801I
a = 0.763795 + 1.130980I
b = −0.44517 + 1.49840I
1.42954 + 2.77384I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.853913 + 0.026260I
a = 0.370194 − 0.372331I
b = −0.325891 + 0.308217I
−1.93762 − 9.98185I 9.09483 + 8.24986I
u = 0.853913 − 0.026260I
a = 0.370194 + 0.372331I
b = −0.325891 − 0.308217I
−1.93762 + 9.98185I 9.09483 − 8.24986I
u = 0.801890 + 0.834128I
a = 0.308206 + 0.027141I
b = −0.224509 − 0.278848I
4.73234 + 0.06850I 0
u = 0.801890 − 0.834128I
a = 0.308206 − 0.027141I
b = −0.224509 + 0.278848I
4.73234 − 0.06850I 0
u = 0.312772 + 1.116420I
a = −0.196189 − 0.623579I
b = −0.634813 + 0.414067I
−5.6358 + 13.9214I 0
u = 0.312772 − 1.116420I
a = −0.196189 + 0.623579I
b = −0.634813 − 0.414067I
−5.6358 − 13.9214I 0
u = 0.750040 + 0.901778I
a = 0.494648 − 0.088629I
b = −0.450930 − 0.379587I
−0.09708 + 3.53530I 0
u = 0.750040 − 0.901778I
a = 0.494648 + 0.088629I
b = −0.450930 + 0.379587I
−0.09708 − 3.53530I 0
u = −0.909357 + 0.744981I
a = 1.56708 − 1.26561I
b = 0.48218 − 2.31833I
2.58456 + 13.51120I 0
u = −0.909357 − 0.744981I
a = 1.56708 + 1.26561I
b = 0.48218 + 2.31833I
2.58456 − 13.51120I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.889224 + 0.774811I
a = −1.73251 + 1.20374I
b = −0.60792 + 2.41277I
5.91502 + 7.07871I 0
u = −0.889224 − 0.774811I
a = −1.73251 − 1.20374I
b = −0.60792 − 2.41277I
5.91502 − 7.07871I 0
u = −0.789491 + 0.887359I
a = −1.86373 + 2.16612I
b = 0.45073 + 3.36393I
6.49065 − 2.96627I 0
u = −0.789491 − 0.887359I
a = −1.86373 − 2.16612I
b = 0.45073 − 3.36393I
6.49065 + 2.96627I 0
u = −0.060792 + 0.808859I
a = 0.00983 + 1.83287I
b = 1.48313 + 0.10347I
−4.73240 − 0.30264I −1.49352 − 1.04651I
u = −0.060792 − 0.808859I
a = 0.00983 − 1.83287I
b = 1.48313 − 0.10347I
−4.73240 + 0.30264I −1.49352 + 1.04651I
u = 0.237751 + 1.172820I
a = −0.278821 + 0.291131I
b = 0.407735 + 0.257790I
−6.11298 − 6.19823I 0
u = 0.237751 − 1.172820I
a = −0.278821 − 0.291131I
b = 0.407735 − 0.257790I
−6.11298 + 6.19823I 0
u = 0.777876 + 0.934212I
a = −0.269530 + 0.094125I
b = 0.297594 + 0.178580I
4.42574 + 5.86549I 0
u = 0.777876 − 0.934212I
a = −0.269530 − 0.094125I
b = 0.297594 − 0.178580I
4.42574 − 5.86549I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.024920 + 0.659196I
a = −0.041692 + 0.403727I
b = 0.223404 + 0.441270I
3.62951 − 0.41596I 0
u = −1.024920 − 0.659196I
a = −0.041692 − 0.403727I
b = 0.223404 − 0.441270I
3.62951 + 0.41596I 0
u = 0.759599 + 0.115751I
a = −0.292860 + 0.520785I
b = 0.282738 − 0.361689I
0.94173 − 4.42506I 11.22421 + 5.44391I
u = 0.759599 − 0.115751I
a = −0.292860 − 0.520785I
b = 0.282738 + 0.361689I
0.94173 + 4.42506I 11.22421 − 5.44391I
u = −0.760280 + 0.969470I
a = 1.16974 − 2.20422I
b = −1.24759 − 2.80985I
−1.35699 − 7.84774I 0
u = −0.760280 − 0.969470I
a = 1.16974 + 2.20422I
b = −1.24759 + 2.80985I
−1.35699 + 7.84774I 0
u = −0.980930 + 0.817644I
a = 0.335518 − 0.528614I
b = −0.103099 − 0.792868I
2.77195 − 5.58976I 0
u = −0.980930 − 0.817644I
a = 0.335518 + 0.528614I
b = −0.103099 + 0.792868I
2.77195 + 5.58976I 0
u = −0.795885 + 1.006870I
a = −0.91770 + 2.00486I
b = 1.28825 + 2.51964I
5.1873 − 13.3220I 0
u = −0.795885 − 1.006870I
a = −0.91770 − 2.00486I
b = 1.28825 − 2.51964I
5.1873 + 13.3220I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.790344 + 1.030120I
a = 0.98934 − 1.85454I
b = −1.12848 − 2.48487I
1.6897 − 19.7899I 0
u = −0.790344 − 1.030120I
a = 0.98934 + 1.85454I
b = −1.12848 + 2.48487I
1.6897 + 19.7899I 0
u = −0.870201 + 0.984922I
a = 0.220500 − 0.817351I
b = −0.613148 − 0.928435I
2.24309 − 1.13456I 0
u = −0.870201 − 0.984922I
a = 0.220500 + 0.817351I
b = −0.613148 + 0.928435I
2.24309 + 1.13456I 0
u = 0.173176 + 0.645739I
a = 0.47513 + 1.38049I
b = 0.809154 − 0.545880I
1.22423 + 0.85395I 16.1945 − 7.1055I
u = 0.173176 − 0.645739I
a = 0.47513 − 1.38049I
b = 0.809154 + 0.545880I
1.22423 − 0.85395I 16.1945 + 7.1055I
u = 0.014002 + 0.637337I
a = 1.03665 − 1.67059I
b = −1.079240 − 0.637303I
−3.97710 − 0.05932I 0.437467 − 0.012893I
u = 0.014002 − 0.637337I
a = 1.03665 + 1.67059I
b = −1.079240 + 0.637303I
−3.97710 + 0.05932I 0.437467 + 0.012893I
u = −0.863546 + 1.077970I
a = −0.093011 + 0.471833I
b = 0.428301 + 0.507712I
2.37403 − 6.43184I 0
u = −0.863546 − 1.077970I
a = −0.093011 − 0.471833I
b = 0.428301 − 0.507712I
2.37403 + 6.43184I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.523109 + 0.104957I
a = 0.882914 + 0.716754I
b = −0.386632 − 0.467608I
−4.19452 + 0.80312I 4.88532 − 2.02907I
u = 0.523109 − 0.104957I
a = 0.882914 − 0.716754I
b = −0.386632 + 0.467608I
−4.19452 − 0.80312I 4.88532 + 2.02907I
u = −0.361406
a = 1.24367
b = 0.449470
0.796802 12.7800
11
II. I
u
2
= h−u
42
− 2u
41
+ · · · + 2b − 10, −10u
42
a + 10u
42
+ · · · + 13a −
27, u
43
− 3u
42
+ · · · + 5u
2
+ 1i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
7
=
u
u
3
+ u
a
10
=
a
1
2
u
42
+ u
41
+ ··· +
13
2
u + 5
a
8
=
−
3
2
u
42
a + 5u
42
+ ··· −
5
2
a + 8u
−u
42
a + 2u
42
+ ··· +
5
2
a − 5
a
1
=
u
2
+ 1
u
2
a
11
=
2u
42
−
9
2
u
41
+ ··· + a +
1
2
u
42
− u
41
+ ··· + 5u + 3
a
4
=
−u
42
a −
3
2
u
42
+ ··· + 4a − 1
−
3
2
u
42
a −
1
2
u
42
+ ··· +
3
2
a −
5
2
a
5
=
u
3
u
5
+ u
3
+ u
a
9
=
−
1
2
u
42
+ u
41
+ ··· + a −
1
2
u
1
2
u
42
+ u
41
+ ··· +
15
2
u + 5
a
12
=
−
1
2
u
42
a + 5u
42
+ ··· + a −
3
2
1
2
u
41
a + 2u
42
+ ··· +
1
2
a − 5
(ii) Obstruction class = −1
(iii) Cusp Shapes = 8u
42
− u
41
+ ··· + 25u + 29
12
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
(u
43
+ 13u
42
+ ··· − 10u − 1)
2
c
2
, c
6
(u
43
+ 3u
42
+ ··· − 5u
2
− 1)
2
c
3
, c
9
u
86
− u
85
+ ··· + 3792u + 428
c
4
, c
12
u
86
+ 7u
85
+ ··· − 22u
2
+ 4
c
7
, c
10
u
86
+ 13u
85
+ ··· + 254u + 41
c
8
, c
11
(u
43
− 13u
42
+ ··· + 64u − 7)
2
13
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
(y
43
+ 37y
42
+ ··· − 6y −1)
2
c
2
, c
6
(y
43
+ 13y
42
+ ··· − 10y −1)
2
c
3
, c
9
y
86
− 11y
85
+ ··· − 363120y + 183184
c
4
, c
12
y
86
− 3y
85
+ ··· − 176y + 16
c
7
, c
10
y
86
− 37y
85
+ ··· − 1868y + 1681
c
8
, c
11
(y
43
+ 27y
42
+ ··· − 888y −49)
2
14
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.323035 + 0.949615I
a = −0.305733 − 1.039300I
b = −0.1145460 − 0.0741797I
−1.83832 − 2.75171I 6.98850 + 5.21763I
u = −0.323035 + 0.949615I
a = 0.0332365 − 0.1319290I
b = −1.085700 − 0.045401I
−1.83832 − 2.75171I 6.98850 + 5.21763I
u = −0.323035 − 0.949615I
a = −0.305733 + 1.039300I
b = −0.1145460 + 0.0741797I
−1.83832 + 2.75171I 6.98850 − 5.21763I
u = −0.323035 − 0.949615I
a = 0.0332365 + 0.1319290I
b = −1.085700 + 0.045401I
−1.83832 + 2.75171I 6.98850 − 5.21763I
u = −0.091872 + 0.990497I
a = −0.232551 − 0.519417I
b = 1.15738 + 1.03644I
−6.33568 − 5.02013I −3.92575 + 6.55418I
u = −0.091872 + 0.990497I
a = −0.93000 + 1.25475I
b = −0.535846 + 0.182621I
−6.33568 − 5.02013I −3.92575 + 6.55418I
u = −0.091872 − 0.990497I
a = −0.232551 + 0.519417I
b = 1.15738 − 1.03644I
−6.33568 + 5.02013I −3.92575 − 6.55418I
u = −0.091872 − 0.990497I
a = −0.93000 − 1.25475I
b = −0.535846 − 0.182621I
−6.33568 + 5.02013I −3.92575 − 6.55418I
u = 0.739821 + 0.787237I
a = 1.68098 + 1.36113I
b = −0.05041 + 3.03780I
−0.97481 − 4.23095I 3.83240 + 4.84279I
u = 0.739821 + 0.787237I
a = −2.01715 − 1.95969I
b = −0.17210 − 2.33032I
−0.97481 − 4.23095I 3.83240 + 4.84279I
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.739821 − 0.787237I
a = 1.68098 − 1.36113I
b = −0.05041 − 3.03780I
−0.97481 + 4.23095I 3.83240 − 4.84279I
u = 0.739821 − 0.787237I
a = −2.01715 + 1.95969I
b = −0.17210 + 2.33032I
−0.97481 + 4.23095I 3.83240 − 4.84279I
u = −0.342874 + 1.077160I
a = −0.203407 − 0.452926I
b = −0.087933 + 0.397175I
−1.65593 − 2.52960I 9.51919 + 0.I
u = −0.342874 + 1.077160I
a = −0.358396 + 0.032448I
b = −0.557616 + 0.063805I
−1.65593 − 2.52960I 9.51919 + 0.I
u = −0.342874 − 1.077160I
a = −0.203407 + 0.452926I
b = −0.087933 − 0.397175I
−1.65593 + 2.52960I 9.51919 + 0.I
u = −0.342874 − 1.077160I
a = −0.358396 − 0.032448I
b = −0.557616 − 0.063805I
−1.65593 + 2.52960I 9.51919 + 0.I
u = −0.565077 + 0.985749I
a = 1.247950 + 0.602100I
b = 0.629918 − 0.282683I
−3.59470 − 0.66665I 2.14705 − 3.75657I
u = −0.565077 + 0.985749I
a = 0.491558 + 0.357241I
b = 1.29871 − 0.88993I
−3.59470 − 0.66665I 2.14705 − 3.75657I
u = −0.565077 − 0.985749I
a = 1.247950 − 0.602100I
b = 0.629918 + 0.282683I
−3.59470 + 0.66665I 2.14705 + 3.75657I
u = −0.565077 − 0.985749I
a = 0.491558 − 0.357241I
b = 1.29871 + 0.88993I
−3.59470 + 0.66665I 2.14705 + 3.75657I
16
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.256350 + 1.120110I
a = 0.528261 − 0.413033I
b = 0.369713 + 0.056353I
−2.22771 − 4.80617I 6.22768 + 9.91357I
u = −0.256350 + 1.120110I
a = 0.023974 + 0.324581I
b = −0.327223 − 0.697593I
−2.22771 − 4.80617I 6.22768 + 9.91357I
u = −0.256350 − 1.120110I
a = 0.528261 + 0.413033I
b = 0.369713 − 0.056353I
−2.22771 + 4.80617I 6.22768 − 9.91357I
u = −0.256350 − 1.120110I
a = 0.023974 − 0.324581I
b = −0.327223 + 0.697593I
−2.22771 + 4.80617I 6.22768 − 9.91357I
u = 0.896191 + 0.726671I
a = −1.02821 − 1.23957I
b = 0.20032 − 1.87312I
5.59018 − 4.65193I 9.92416 + 5.53660I
u = 0.896191 + 0.726671I
a = 0.88763 + 1.37036I
b = 0.02071 + 1.85806I
5.59018 − 4.65193I 9.92416 + 5.53660I
u = 0.896191 − 0.726671I
a = −1.02821 + 1.23957I
b = 0.20032 + 1.87312I
5.59018 + 4.65193I 9.92416 − 5.53660I
u = 0.896191 − 0.726671I
a = 0.88763 − 1.37036I
b = 0.02071 − 1.85806I
5.59018 + 4.65193I 9.92416 − 5.53660I
u = −0.793285 + 0.848083I
a = 1.07612 − 1.97315I
b = −1.65131 − 2.24924I
2.41446 + 3.65599I 11.80708 − 4.68849I
u = −0.793285 + 0.848083I
a = 0.44313 − 2.36161I
b = −0.81972 − 2.47790I
2.41446 + 3.65599I 11.80708 − 4.68849I
17
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.793285 − 0.848083I
a = 1.07612 + 1.97315I
b = −1.65131 + 2.24924I
2.41446 − 3.65599I 11.80708 + 4.68849I
u = −0.793285 − 0.848083I
a = 0.44313 + 2.36161I
b = −0.81972 + 2.47790I
2.41446 − 3.65599I 11.80708 + 4.68849I
u = 0.885942 + 0.767111I
a = −0.92178 − 1.18682I
b = −0.04857 − 1.92281I
6.42524 − 1.55212I 12.05674 − 2.71355I
u = 0.885942 + 0.767111I
a = 1.10535 + 1.21326I
b = −0.09378 + 1.75857I
6.42524 − 1.55212I 12.05674 − 2.71355I
u = 0.885942 − 0.767111I
a = −0.92178 + 1.18682I
b = −0.04857 + 1.92281I
6.42524 + 1.55212I 12.05674 + 2.71355I
u = 0.885942 − 0.767111I
a = 1.10535 − 1.21326I
b = −0.09378 − 1.75857I
6.42524 + 1.55212I 12.05674 + 2.71355I
u = 0.807879 + 0.851105I
a = −1.056100 − 0.345478I
b = −0.88633 − 1.75520I
5.04577 − 0.03073I 13.58291 + 2.30701I
u = 0.807879 + 0.851105I
a = 1.60482 + 0.48193I
b = 0.559166 + 1.177960I
5.04577 − 0.03073I 13.58291 + 2.30701I
u = 0.807879 − 0.851105I
a = −1.056100 + 0.345478I
b = −0.88633 + 1.75520I
5.04577 + 0.03073I 13.58291 − 2.30701I
u = 0.807879 − 0.851105I
a = 1.60482 − 0.48193I
b = 0.559166 − 1.177960I
5.04577 + 0.03073I 13.58291 − 2.30701I
18
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.786587 + 0.886293I
a = −1.54721 + 1.96520I
b = 0.25619 + 3.15327I
6.43534 − 2.95705I 17.6456 + 3.0987I
u = −0.786587 + 0.886293I
a = −1.84671 + 1.92801I
b = 0.52473 + 2.91708I
6.43534 − 2.95705I 17.6456 + 3.0987I
u = −0.786587 − 0.886293I
a = −1.54721 − 1.96520I
b = 0.25619 − 3.15327I
6.43534 + 2.95705I 17.6456 − 3.0987I
u = −0.786587 − 0.886293I
a = −1.84671 − 1.92801I
b = 0.52473 − 2.91708I
6.43534 + 2.95705I 17.6456 − 3.0987I
u = 0.721618 + 0.950666I
a = 1.29262 + 1.80104I
b = −1.34513 + 2.86513I
−1.47785 + 9.80971I 2.51790 − 9.94937I
u = 0.721618 + 0.950666I
a = −1.23069 − 2.34911I
b = 0.77941 − 2.52851I
−1.47785 + 9.80971I 2.51790 − 9.94937I
u = 0.721618 − 0.950666I
a = 1.29262 − 1.80104I
b = −1.34513 − 2.86513I
−1.47785 − 9.80971I 2.51790 + 9.94937I
u = 0.721618 − 0.950666I
a = −1.23069 + 2.34911I
b = 0.77941 + 2.52851I
−1.47785 − 9.80971I 2.51790 + 9.94937I
u = −0.773961 + 0.919138I
a = 1.70419 − 0.97518I
b = 0.82661 − 3.09459I
2.19459 − 9.55035I 10.9381 + 10.4566I
u = −0.773961 + 0.919138I
a = 2.41311 − 1.13263I
b = 0.42265 − 2.32113I
2.19459 − 9.55035I 10.9381 + 10.4566I
19
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.773961 − 0.919138I
a = 1.70419 + 0.97518I
b = 0.82661 + 3.09459I
2.19459 + 9.55035I 10.9381 − 10.4566I
u = −0.773961 − 0.919138I
a = 2.41311 + 1.13263I
b = 0.42265 + 2.32113I
2.19459 + 9.55035I 10.9381 − 10.4566I
u = −0.793556 + 0.052977I
a = 0.550459 + 0.332904I
b = −0.174247 + 0.309451I
1.71199 − 1.31703I 12.47852 + 5.06743I
u = −0.793556 + 0.052977I
a = −0.244520 + 0.373631I
b = 0.454456 + 0.235016I
1.71199 − 1.31703I 12.47852 + 5.06743I
u = −0.793556 − 0.052977I
a = 0.550459 − 0.332904I
b = −0.174247 − 0.309451I
1.71199 + 1.31703I 12.47852 − 5.06743I
u = −0.793556 − 0.052977I
a = −0.244520 − 0.373631I
b = 0.454456 − 0.235016I
1.71199 + 1.31703I 12.47852 − 5.06743I
u = 0.176280 + 0.773928I
a = −1.96350 + 0.35319I
b = −1.61112 + 0.19021I
−3.31097 + 6.48927I 3.69481 − 12.91170I
u = 0.176280 + 0.773928I
a = 0.21713 − 2.03228I
b = 0.61947 + 1.45735I
−3.31097 + 6.48927I 3.69481 − 12.91170I
u = 0.176280 − 0.773928I
a = −1.96350 − 0.35319I
b = −1.61112 − 0.19021I
−3.31097 − 6.48927I 3.69481 + 12.91170I
u = 0.176280 − 0.773928I
a = 0.21713 + 2.03228I
b = 0.61947 − 1.45735I
−3.31097 − 6.48927I 3.69481 + 12.91170I
20
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.791116 + 0.922390I
a = −0.395948 − 1.336240I
b = 1.52108 − 1.19322I
4.82859 + 6.02228I 12.9867 − 7.5602I
u = 0.791116 + 0.922390I
a = −0.06958 + 1.58939I
b = −0.91929 + 1.42234I
4.82859 + 6.02228I 12.9867 − 7.5602I
u = 0.791116 − 0.922390I
a = −0.395948 + 1.336240I
b = 1.52108 + 1.19322I
4.82859 − 6.02228I 12.9867 + 7.5602I
u = 0.791116 − 0.922390I
a = −0.06958 − 1.58939I
b = −0.91929 − 1.42234I
4.82859 − 6.02228I 12.9867 + 7.5602I
u = −0.566403 + 0.479582I
a = 0.134814 − 1.062890I
b = −1.216450 − 0.079802I
−2.22867 − 3.83566I 7.39858 + 6.32192I
u = −0.566403 + 0.479582I
a = −1.18140 − 1.14120I
b = −0.433382 − 0.666676I
−2.22867 − 3.83566I 7.39858 + 6.32192I
u = −0.566403 − 0.479582I
a = 0.134814 + 1.062890I
b = −1.216450 + 0.079802I
−2.22867 + 3.83566I 7.39858 − 6.32192I
u = −0.566403 − 0.479582I
a = −1.18140 + 1.14120I
b = −0.433382 + 0.666676I
−2.22867 + 3.83566I 7.39858 − 6.32192I
u = 0.790913 + 1.007680I
a = 0.87613 + 1.35790I
b = −0.48564 + 2.06332I
5.67328 + 7.76664I 10.93736 + 0.I
u = 0.790913 + 1.007680I
a = −1.03297 − 1.29270I
b = 0.67538 − 1.95684I
5.67328 + 7.76664I 10.93736 + 0.I
21
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.790913 − 1.007680I
a = 0.87613 − 1.35790I
b = −0.48564 − 2.06332I
5.67328 − 7.76664I 10.93736 + 0.I
u = 0.790913 − 1.007680I
a = −1.03297 + 1.29270I
b = 0.67538 + 1.95684I
5.67328 − 7.76664I 10.93736 + 0.I
u = 0.776568 + 1.032810I
a = −1.00416 − 1.23001I
b = 0.46269 − 2.21453I
4.63664 + 10.84510I 8.12291 − 10.36635I
u = 0.776568 + 1.032810I
a = 1.15459 + 1.31612I
b = −0.49056 + 1.99229I
4.63664 + 10.84510I 8.12291 − 10.36635I
u = 0.776568 − 1.032810I
a = −1.00416 + 1.23001I
b = 0.46269 + 2.21453I
4.63664 − 10.84510I 8.12291 + 10.36635I
u = 0.776568 − 1.032810I
a = 1.15459 − 1.31612I
b = −0.49056 − 1.99229I
4.63664 − 10.84510I 8.12291 + 10.36635I
u = 0.169504 + 0.639073I
a = 0.812914 + 0.955943I
b = 1.041210 − 0.436850I
1.23160 + 0.84425I 13.1500 − 7.6309I
u = 0.169504 + 0.639073I
a = 0.23491 + 1.69155I
b = 0.473124 − 0.681548I
1.23160 + 0.84425I 13.1500 − 7.6309I
u = 0.169504 − 0.639073I
a = 0.812914 − 0.955943I
b = 1.041210 + 0.436850I
1.23160 − 0.84425I 13.1500 + 7.6309I
u = 0.169504 − 0.639073I
a = 0.23491 − 1.69155I
b = 0.473124 + 0.681548I
1.23160 − 0.84425I 13.1500 + 7.6309I
22
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.266359 + 0.394303I
a = 1.36711 + 0.40142I
b = −1.07616 + 1.07795I
−2.30554 − 4.60567I 9.13016 + 0.94164I
u = 0.266359 + 0.394303I
a = −0.61123 − 3.14216I
b = −0.205863 − 0.645978I
−2.30554 − 4.60567I 9.13016 + 0.94164I
u = 0.266359 − 0.394303I
a = 1.36711 − 0.40142I
b = −1.07616 − 1.07795I
−2.30554 + 4.60567I 9.13016 − 0.94164I
u = 0.266359 − 0.394303I
a = −0.61123 + 3.14216I
b = −0.205863 + 0.645978I
−2.30554 + 4.60567I 9.13016 − 0.94164I
u = −0.458382
a = 1.30025 + 0.61928I
b = 0.596012 − 0.283867I
0.648314 11.6790
u = −0.458382
a = 1.30025 − 0.61928I
b = 0.596012 + 0.283867I
0.648314 11.6790
23
III. I
u
3
= h2u
22
+ 16u
21
+ · · · + b + 31, −31u
22
+ 97u
21
+ · · · + 2a + 74, u
23
−
3u
22
+ · · · − 2u + 2i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
u
2
a
7
=
u
u
3
+ u
a
10
=
31
2
u
22
−
97
2
u
21
+ ··· +
55
2
u − 37
−2u
22
− 16u
21
+ ··· − 6u − 31
a
8
=
5
2
u
22
−
13
2
u
21
+ ··· −
3
2
u − 2
u
22
− 6u
21
+ ··· + 4u − 5
a
1
=
u
2
+ 1
u
2
a
11
=
9
2
u
22
−
21
2
u
21
+ ··· +
37
2
u − 6
−u
22
− 3u
21
+ ··· − 4u − 9
a
4
=
−
3
2
u
22
−
1
2
u
21
+ ··· −
5
2
u − 9
−5u
22
+ 11u
21
+ ··· − 12u + 3
a
5
=
u
3
u
5
+ u
3
+ u
a
9
=
17
2
u
22
−
51
2
u
21
+ ··· +
43
2
u − 19
−u
22
− 6u
21
+ ··· − 5u − 15
a
12
=
−
11
2
u
22
+
31
2
u
21
+ ··· −
1
2
u + 17
−u
22
+ 9u
21
+ ··· + 5u + 11
(ii) Obstruction class = 1
(iii) Cusp Shapes
= 19u
22
−39u
21
+95u
20
−123u
19
+258u
18
−325u
17
+545u
16
−611u
15
+876u
14
−844u
13
+
989u
12
−891u
11
+978u
10
−825u
9
+677u
8
−431u
7
+117u
6
+5u
5
−124u
4
+17u
3
−61u
2
−12u−6
24
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
u
23
− 7u
22
+ ··· − 40u + 4
c
2
u
23
− 3u
22
+ ··· − 2u + 2
c
3
, c
9
u
23
+ u
22
+ ··· + u − 1
c
4
, c
12
u
23
− u
22
+ ··· + u + 1
c
6
u
23
+ 3u
22
+ ··· − 2u − 2
c
7
, c
10
u
23
+ 3u
22
+ ··· + 3u + 1
c
8
u
23
+ 12u
22
+ ··· + 14u + 2
c
11
u
23
− 12u
22
+ ··· + 14u − 2
25
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
5
y
23
+ 23y
22
+ ··· + 344y −16
c
2
, c
6
y
23
+ 7y
22
+ ··· − 40y −4
c
3
, c
9
y
23
+ 5y
22
+ ··· + 5y −1
c
4
, c
12
y
23
+ y
22
+ ··· − 11y −1
c
7
, c
10
y
23
− 23y
22
+ ··· − y −1
c
8
, c
11
y
23
+ 8y
22
+ ··· − 40y −4
26
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.025871 + 0.973165I
a = −0.760524 + 0.437098I
b = −0.405692 − 0.751424I
−4.65064 − 5.18441I 2.33079 + 6.09871I
u = −0.025871 − 0.973165I
a = −0.760524 − 0.437098I
b = −0.405692 + 0.751424I
−4.65064 + 5.18441I 2.33079 − 6.09871I
u = 0.763648 + 0.815236I
a = 1.69106 + 2.27058I
b = −0.55968 + 3.11254I
0.42663 − 3.86713I 9.53924 + 3.55681I
u = 0.763648 − 0.815236I
a = 1.69106 − 2.27058I
b = −0.55968 − 3.11254I
0.42663 + 3.86713I 9.53924 − 3.55681I
u = −0.893491 + 0.723489I
a = 0.111494 − 0.110353I
b = −0.019779 + 0.179264I
3.30662 − 0.43365I 4.72127 + 2.90108I
u = −0.893491 − 0.723489I
a = 0.111494 + 0.110353I
b = −0.019779 − 0.179264I
3.30662 + 0.43365I 4.72127 − 2.90108I
u = 0.897988 + 0.736480I
a = −0.92790 − 1.14453I
b = 0.00969 − 1.71115I
6.11887 − 3.02218I 11.28015 + 2.57160I
u = 0.897988 − 0.736480I
a = −0.92790 + 1.14453I
b = 0.00969 + 1.71115I
6.11887 + 3.02218I 11.28015 − 2.57160I
u = 0.787391 + 0.887240I
a = −2.04262 − 2.34200I
b = 0.46958 − 3.65636I
6.16620 + 2.96007I −3.29941 − 2.46884I
u = 0.787391 − 0.887240I
a = −2.04262 + 2.34200I
b = 0.46958 + 3.65636I
6.16620 − 2.96007I −3.29941 + 2.46884I
27
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.738399 + 0.938389I
a = 1.89751 + 1.88475I
b = −0.36751 + 3.17230I
0.04450 + 9.56439I 8.51705 − 9.18606I
u = 0.738399 − 0.938389I
a = 1.89751 − 1.88475I
b = −0.36751 − 3.17230I
0.04450 − 9.56439I 8.51705 + 9.18606I
u = −0.281462 + 1.168440I
a = 0.144819 − 0.258843I
b = 0.261682 + 0.242067I
−1.89882 − 3.14823I 4.29644 + 12.69111I
u = −0.281462 − 1.168440I
a = 0.144819 + 0.258843I
b = 0.261682 − 0.242067I
−1.89882 + 3.14823I 4.29644 − 12.69111I
u = 0.783737 + 1.029120I
a = −0.90426 − 1.23509I
b = 0.56235 − 1.89858I
5.20804 + 9.24588I 9.35025 − 7.12522I
u = 0.783737 − 1.029120I
a = −0.90426 + 1.23509I
b = 0.56235 + 1.89858I
5.20804 − 9.24588I 9.35025 + 7.12522I
u = −0.148922 + 0.683948I
a = 0.73742 − 1.50721I
b = 0.921033 + 0.728812I
0.982707 − 0.713406I −9.22895 − 7.07138I
u = −0.148922 − 0.683948I
a = 0.73742 + 1.50721I
b = 0.921033 − 0.728812I
0.982707 + 0.713406I −9.22895 + 7.07138I
u = −0.891738 + 0.976440I
a = −0.1073690 + 0.0025588I
b = 0.093247 − 0.107122I
2.58814 − 6.15897I 15.8924 + 5.4864I
u = −0.891738 − 0.976440I
a = −0.1073690 − 0.0025588I
b = 0.093247 + 0.107122I
2.58814 + 6.15897I 15.8924 − 5.4864I
28
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.612292
a = −0.622163
b = 0.380945
2.35182 17.2520
u = 0.076468 + 0.605851I
a = −1.52855 + 1.71413I
b = −1.155390 − 0.795000I
−3.01883 + 5.50758I 3.97465 − 4.72679I
u = 0.076468 − 0.605851I
a = −1.52855 − 1.71413I
b = −1.155390 + 0.795000I
−3.01883 − 5.50758I 3.97465 + 4.72679I
29
IV. I
u
4
= ha
3
u − a
3
− a
2
u + a
2
+ 6au + 3b + 3a − u + 1, a
4
− 3a
2
u − a
2
−
2au − 2a − 2u − 2, u
2
+ u + 1i
(i) Arc colorings
a
3
=
1
0
a
6
=
0
u
a
2
=
1
−u − 1
a
7
=
u
u + 1
a
10
=
a
−
1
3
a
3
u +
1
3
a
2
u + ··· − a −
1
3
a
8
=
2
3
a
3
u +
1
3
a
2
u + ··· + a +
2
3
1
3
a
3
u −
1
3
a
2
u + ··· +
1
3
a
2
−
2
3
a
1
=
−u
−u − 1
a
11
=
−
1
3
a
3
u +
1
3
a
2
u + ··· + a +
2
3
−au
a
4
=
1
3
a
3
u +
5
3
a
2
u + ··· + a +
7
3
a
2
u + a
2
a
5
=
1
0
a
9
=
1
3
a
3
u −
1
3
a
2
u + ··· + 2a +
1
3
−
1
3
a
3
u +
1
3
a
2
u + ··· − a −
1
3
a
12
=
−a
3
+ a
2
u + a
2
+ 2au + 2a + 2u + 3
1
3
a
3
u −
1
3
a
2
u + ··· +
1
3
a
2
−
5
3
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4u + 4
30
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
5
, c
6
(u
2
− u + 1)
4
c
2
(u
2
+ u + 1)
4
c
3
, c
9
u
8
− 5u
6
+ 2u
5
+ 11u
4
− 2u
3
− 6u
2
+ 4u + 4
c
4
, c
12
u
8
− 2u
7
+ 7u
6
− 8u
5
+ 15u
4
− 10u
3
+ 10u
2
− 4u + 4
c
7
, c
8
, c
10
c
11
(u
2
+ 1)
4
31
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
5
c
6
(y
2
+ y + 1)
4
c
3
, c
9
y
8
− 10y
7
+ 47y
6
− 126y
5
+ 197y
4
− 192y
3
+ 140y
2
− 64y + 16
c
4
, c
12
y
8
+ 10y
7
+ 47y
6
+ 126y
5
+ 197y
4
+ 192y
3
+ 140y
2
+ 64y + 16
c
7
, c
8
, c
10
c
11
(y + 1)
8
32
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −0.500000 + 0.866025I
a = −0.178142 + 0.892797I
b = 1.55014 + 0.10067I
−3.28987 − 2.02988I 2.00000 + 3.46410I
u = −0.500000 + 0.866025I
a = −0.603323 − 0.513523I
b = −1.61241 + 0.76573I
−3.28987 − 2.02988I 2.00000 + 3.46410I
u = −0.500000 + 0.866025I
a = −0.68788 − 1.39280I
b = −0.684114 − 0.600674I
−3.28987 − 2.02988I 2.00000 + 3.46410I
u = −0.500000 + 0.866025I
a = 1.46935 + 1.01352I
b = 0.746385 − 0.265732I
−3.28987 − 2.02988I 2.00000 + 3.46410I
u = −0.500000 − 0.866025I
a = −0.178142 − 0.892797I
b = 1.55014 − 0.10067I
−3.28987 + 2.02988I 2.00000 − 3.46410I
u = −0.500000 − 0.866025I
a = −0.603323 + 0.513523I
b = −1.61241 − 0.76573I
−3.28987 + 2.02988I 2.00000 − 3.46410I
u = −0.500000 − 0.866025I
a = −0.68788 + 1.39280I
b = −0.684114 + 0.600674I
−3.28987 + 2.02988I 2.00000 − 3.46410I
u = −0.500000 − 0.866025I
a = 1.46935 − 1.01352I
b = 0.746385 + 0.265732I
−3.28987 + 2.02988I 2.00000 − 3.46410I
33
V. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
, c
5
((u
2
− u + 1)
4
)(u
23
− 7u
22
+ ··· − 40u + 4)
· ((u
43
+ 13u
42
+ ··· − 10u − 1)
2
)(u
63
+ 18u
62
+ ··· − 444u − 100)
c
2
((u
2
+ u + 1)
4
)(u
23
− 3u
22
+ ··· − 2u + 2)(u
43
+ 3u
42
+ ··· − 5u
2
− 1)
2
· (u
63
− 10u
62
+ ··· + 26u − 10)
c
3
, c
9
(u
8
− 5u
6
+ ··· + 4u + 4)(u
23
+ u
22
+ ··· + u − 1)
· (u
63
− u
62
+ ··· + 40u − 19)(u
86
− u
85
+ ··· + 3792u + 428)
c
4
, c
12
(u
8
− 2u
7
+ 7u
6
− 8u
5
+ 15u
4
− 10u
3
+ 10u
2
− 4u + 4)
· (u
23
− u
22
+ ··· + u + 1)(u
63
+ 3u
62
+ ··· + 6u − 1)
· (u
86
+ 7u
85
+ ··· − 22u
2
+ 4)
c
6
((u
2
− u + 1)
4
)(u
23
+ 3u
22
+ ··· − 2u − 2)(u
43
+ 3u
42
+ ··· − 5u
2
− 1)
2
· (u
63
− 10u
62
+ ··· + 26u − 10)
c
7
, c
10
((u
2
+ 1)
4
)(u
23
+ 3u
22
+ ··· + 3u + 1)(u
63
+ 3u
62
+ ··· + 6u − 1)
· (u
86
+ 13u
85
+ ··· + 254u + 41)
c
8
((u
2
+ 1)
4
)(u
23
+ 12u
22
+ ··· + 14u + 2)(u
43
− 13u
42
+ ··· + 64u − 7)
2
· (u
63
+ 15u
62
+ ··· − 1262u − 50)
c
11
((u
2
+ 1)
4
)(u
23
− 12u
22
+ ··· + 14u − 2)(u
43
− 13u
42
+ ··· + 64u − 7)
2
· (u
63
+ 15u
62
+ ··· − 1262u − 50)
34
VI. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
5
((y
2
+ y + 1)
4
)(y
23
+ 23y
22
+ ··· + 344y −16)
· ((y
43
+ 37y
42
+ ··· − 6y −1)
2
)(y
63
+ 58y
62
+ ··· + 948336y −10000)
c
2
, c
6
((y
2
+ y + 1)
4
)(y
23
+ 7y
22
+ ··· − 40y −4)
· ((y
43
+ 13y
42
+ ··· − 10y −1)
2
)(y
63
+ 18y
62
+ ··· − 444y −100)
c
3
, c
9
(y
8
− 10y
7
+ 47y
6
− 126y
5
+ 197y
4
− 192y
3
+ 140y
2
− 64y + 16)
· (y
23
+ 5y
22
+ ··· + 5y −1)(y
63
− 17y
62
+ ··· + 8174y −361)
· (y
86
− 11y
85
+ ··· − 363120y + 183184)
c
4
, c
12
(y
8
+ 10y
7
+ 47y
6
+ 126y
5
+ 197y
4
+ 192y
3
+ 140y
2
+ 64y + 16)
· (y
23
+ y
22
+ ··· − 11y −1)(y
63
+ 51y
62
+ ··· − 106y −1)
· (y
86
− 3y
85
+ ··· − 176y + 16)
c
7
, c
10
((y + 1)
8
)(y
23
− 23y
22
+ ··· − y −1)(y
63
+ 11y
62
+ ··· − 4y −1)
· (y
86
− 37y
85
+ ··· − 1868y + 1681)
c
8
, c
11
((y + 1)
8
)(y
23
+ 8y
22
+ ··· − 40y −4)
· (y
43
+ 27y
42
+ ··· − 888y −49)
2
· (y
63
+ 31y
62
+ ··· + 249244y −2500)
35
