12a
0696
(K12a
0696
)
A knot diagram
1
Linearized knot diagam
3 8 6 10 9 11 1 2 12 7 4 5
Solving Sequence
2,8
3
5,9
6 1 7 12 10 4 11
c
2
c
8
c
5
c
1
c
7
c
12
c
9
c
4
c
11
c
3
, c
6
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h1.41962 × 10
338
u
180
− 1.20195 × 10
338
u
179
+ ··· + 7.13962 × 10
336
b + 2.76018 × 10
338
,
5.24278 × 10
338
u
180
− 3.50383 × 10
337
u
179
+ ··· + 7.13962 × 10
336
a − 1.16139 × 10
339
, u
181
+ 46u
179
+ ··· − u − 1i
I
u
2
= h216u
42
− 709u
41
+ ··· + 131b + 943, 347u
42
− 1233u
41
+ ··· + 131a + 2253, u
43
− u
42
+ ··· − 7u
2
− 1i
* 2 irreducible components of dim
C
= 0, with total 224 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
= h1.42 × 10
338
u
180
− 1.20 × 10
338
u
179
+ · · · + 7.14 × 10
336
b + 2.76 ×
10
338
, 5.24 × 10
338
u
180
− 3.50 × 10
337
u
179
+ · · · + 7.14 × 10
336
a − 1.16 ×
10
339
, u
181
+ 46u
179
+ · · · − u − 1i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
−u
2
a
5
=
−73.4323u
180
+ 4.90759u
179
+ ··· + 95.1602u + 162.668
−19.8838u
180
+ 16.8349u
179
+ ··· + 143.589u − 38.6601
a
9
=
u
u
a
6
=
−90.3427u
180
+ 13.4742u
179
+ ··· + 160.636u + 174.596
−36.7942u
180
+ 25.4015u
179
+ ··· + 209.065u − 26.7327
a
1
=
u
2
+ 1
−u
4
a
7
=
u
5
+ 2u
3
+ u
−u
7
− u
5
+ u
a
12
=
0.767022u
180
+ 10.6814u
179
+ ··· + 5.72652u − 29.1072
36.0408u
180
− 10.4422u
179
+ ··· − 136.012u − 31.3735
a
10
=
−37.3943u
180
+ 24.9354u
179
+ ··· + 178.969u − 20.9297
51.2108u
180
− 3.90059u
179
+ ··· − 73.6166u − 109.969
a
4
=
22.7530u
180
+ 7.33973u
179
+ ··· − 20.3207u − 74.9072
38.4414u
180
− 8.59063u
179
+ ··· − 122.749u − 47.7809
a
11
=
−49.4226u
180
+ 30.0174u
179
+ ··· + 232.737u − 21.1572
43.4403u
180
+ 2.98078u
179
+ ··· − 16.4521u − 126.279
(ii) Obstruction class = −1
(iii) Cusp Shapes = −158.902u
180
+ 55.1634u
179
+ ··· + 452.093u + 172.834
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
181
+ 92u
180
+ ··· − 15u − 1
c
2
, c
8
u
181
+ 46u
179
+ ··· − u − 1
c
3
u
181
+ 13u
180
+ ··· + 628733104u − 211700029
c
4
u
181
− u
180
+ ··· + 212u − 3
c
5
u
181
− 4u
180
+ ··· − 476890u − 36227
c
6
, c
10
u
181
+ u
180
+ ··· + 386176u − 88157
c
7
u
181
− 35u
179
+ ··· + 202878969u − 21005497
c
9
u
181
+ 14u
180
+ ··· − 35u − 1
c
11
u
181
+ 3u
180
+ ··· + 1540072u + 1602889
c
12
u
181
+ 2u
180
+ ··· + 68u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
181
+ 8y
180
+ ··· − 87y −1
c
2
, c
8
y
181
+ 92y
180
+ ··· − 15y −1
c
3
y
181
− 61y
180
+ ··· + 466437623685825210y −44816902278600841
c
4
y
181
− 9y
180
+ ··· + 17746y −9
c
5
y
181
+ 18y
180
+ ··· − 14914777958y −1312395529
c
6
, c
10
y
181
+ 109y
180
+ ··· − 436279416002y −7771656649
c
7
y
181
− 70y
180
+ ··· + 4677292519050717y −441230904217009
c
9
y
181
+ 2y
180
+ ··· − 21y −1
c
11
y
181
− 37y
180
+ ··· + 210067324431820y −2569253146321
c
12
y
181
− 2y
180
+ ··· + 380y −1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.595366 + 0.811631I
a = −0.220953 − 0.075715I
b = −0.254848 − 1.078240I
2.02502 + 2.50091I 0
u = −0.595366 − 0.811631I
a = −0.220953 + 0.075715I
b = −0.254848 + 1.078240I
2.02502 − 2.50091I 0
u = −0.634703 + 0.755237I
a = −0.579936 − 0.325735I
b = 0.693508 − 0.146741I
2.19217 − 7.31387I 0
u = −0.634703 − 0.755237I
a = −0.579936 + 0.325735I
b = 0.693508 + 0.146741I
2.19217 + 7.31387I 0
u = −0.370993 + 0.908742I
a = 1.62406 + 0.50872I
b = 1.62256 + 1.00947I
−3.48908 + 0.77709I 0
u = −0.370993 − 0.908742I
a = 1.62406 − 0.50872I
b = 1.62256 − 1.00947I
−3.48908 − 0.77709I 0
u = 0.704616 + 0.675912I
a = 0.1202880 − 0.0378242I
b = −0.807613 + 0.025109I
2.13396 + 1.34395I 0
u = 0.704616 − 0.675912I
a = 0.1202880 + 0.0378242I
b = −0.807613 − 0.025109I
2.13396 − 1.34395I 0
u = −0.561030 + 0.870578I
a = −0.412428 + 0.062081I
b = −1.139930 − 0.599033I
3.28852 − 4.60568I 0
u = −0.561030 − 0.870578I
a = −0.412428 − 0.062081I
b = −1.139930 + 0.599033I
3.28852 + 4.60568I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.123633 + 0.949947I
a = 1.157780 + 0.758066I
b = 1.192050 + 0.602453I
−3.65409 + 0.74327I 0
u = −0.123633 − 0.949947I
a = 1.157780 − 0.758066I
b = 1.192050 − 0.602453I
−3.65409 − 0.74327I 0
u = −0.892665 + 0.277974I
a = 0.309435 + 1.141240I
b = −0.237266 + 0.142966I
−2.75442 + 7.05989I 0
u = −0.892665 − 0.277974I
a = 0.309435 − 1.141240I
b = −0.237266 − 0.142966I
−2.75442 − 7.05989I 0
u = 0.746434 + 0.779550I
a = −0.411095 + 0.175466I
b = 0.750352 + 0.262441I
−1.22778 + 12.56300I 0
u = 0.746434 − 0.779550I
a = −0.411095 − 0.175466I
b = 0.750352 − 0.262441I
−1.22778 − 12.56300I 0
u = −0.908320 + 0.139101I
a = −0.360830 + 1.076450I
b = −0.288962 + 0.154564I
−5.95305 − 4.36779I 0
u = −0.908320 − 0.139101I
a = −0.360830 − 1.076450I
b = −0.288962 − 0.154564I
−5.95305 + 4.36779I 0
u = 0.886386 + 0.229234I
a = −0.22682 + 1.70159I
b = 0.059190 + 0.486908I
−1.18683 − 6.11657I 0
u = 0.886386 − 0.229234I
a = −0.22682 − 1.70159I
b = 0.059190 − 0.486908I
−1.18683 + 6.11657I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.863089 + 0.283405I
a = 0.28652 + 2.16697I
b = −0.284444 + 0.443997I
−4.1410 + 15.4470I 0
u = −0.863089 − 0.283405I
a = 0.28652 − 2.16697I
b = −0.284444 − 0.443997I
−4.1410 − 15.4470I 0
u = −0.358045 + 1.034350I
a = 2.59184 + 0.01919I
b = 2.80657 − 0.51443I
−3.60056 + 3.68982I 0
u = −0.358045 − 1.034350I
a = 2.59184 − 0.01919I
b = 2.80657 + 0.51443I
−3.60056 − 3.68982I 0
u = −0.551404 + 0.703655I
a = −0.250460 − 0.907719I
b = 0.456759 + 0.096369I
3.77193 + 0.13944I 0
u = −0.551404 − 0.703655I
a = −0.250460 + 0.907719I
b = 0.456759 − 0.096369I
3.77193 − 0.13944I 0
u = −0.459068 + 1.008750I
a = 2.20681 + 0.60195I
b = 3.63458 + 0.76309I
−2.44470 + 1.88493I 0
u = −0.459068 − 1.008750I
a = 2.20681 − 0.60195I
b = 3.63458 − 0.76309I
−2.44470 − 1.88493I 0
u = −0.518924 + 0.715548I
a = 0.77939 + 1.47033I
b = −0.523576 + 1.112090I
−3.08163 − 4.59143I 0
u = −0.518924 − 0.715548I
a = 0.77939 − 1.47033I
b = −0.523576 − 1.112090I
−3.08163 + 4.59143I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.157048 + 0.869008I
a = 0.148833 + 1.395630I
b = 0.829703 − 0.113133I
−3.37948 + 5.12393I 0
u = 0.157048 − 0.869008I
a = 0.148833 − 1.395630I
b = 0.829703 + 0.113133I
−3.37948 − 5.12393I 0
u = 0.801141 + 0.348018I
a = 0.83475 + 1.18270I
b = 0.235543 − 0.110065I
−3.70946 − 1.31308I 0
u = 0.801141 − 0.348018I
a = 0.83475 − 1.18270I
b = 0.235543 + 0.110065I
−3.70946 + 1.31308I 0
u = 0.742863 + 0.849193I
a = −0.178981 − 0.043073I
b = 0.014625 + 0.869414I
−1.41715 − 6.99847I 0
u = 0.742863 − 0.849193I
a = −0.178981 + 0.043073I
b = 0.014625 − 0.869414I
−1.41715 + 6.99847I 0
u = 0.503467 + 1.013000I
a = 0.077435 − 0.434592I
b = 0.038806 − 1.403750I
−0.24505 + 2.88016I 0
u = 0.503467 − 1.013000I
a = 0.077435 + 0.434592I
b = 0.038806 + 1.403750I
−0.24505 − 2.88016I 0
u = 0.440356 + 1.048290I
a = −0.998995 − 0.403249I
b = −1.63920 − 1.06547I
−0.56992 + 2.55721I 0
u = 0.440356 − 1.048290I
a = −0.998995 + 0.403249I
b = −1.63920 + 1.06547I
−0.56992 − 2.55721I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.675539 + 0.915043I
a = −0.025051 + 0.332177I
b = 0.076457 − 0.316468I
1.44991 + 3.88925I 0
u = 0.675539 − 0.915043I
a = −0.025051 − 0.332177I
b = 0.076457 + 0.316468I
1.44991 − 3.88925I 0
u = −0.412926 + 1.060430I
a = 1.37075 + 0.99233I
b = 2.27954 + 0.39999I
−5.20267 − 0.90227I 0
u = −0.412926 − 1.060430I
a = 1.37075 − 0.99233I
b = 2.27954 − 0.39999I
−5.20267 + 0.90227I 0
u = 0.861028
a = 0.988370
b = −0.0890765
1.61341 0
u = −0.233629 + 1.126220I
a = 1.55018 + 0.13866I
b = 2.41784 − 0.39138I
−4.23044 + 0.97702I 0
u = −0.233629 − 1.126220I
a = 1.55018 − 0.13866I
b = 2.41784 + 0.39138I
−4.23044 − 0.97702I 0
u = −0.780080 + 0.325656I
a = −0.09035 − 2.02154I
b = 0.147982 − 0.615166I
0.37862 + 3.76264I 0
u = −0.780080 − 0.325656I
a = −0.09035 + 2.02154I
b = 0.147982 + 0.615166I
0.37862 − 3.76264I 0
u = 0.804821 + 0.255351I
a = 0.44956 − 2.29525I
b = −0.157892 − 0.433264I
−0.38569 − 9.16610I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.804821 − 0.255351I
a = 0.44956 + 2.29525I
b = −0.157892 + 0.433264I
−0.38569 + 9.16610I 0
u = −0.345041 + 1.103590I
a = 1.14839 + 0.91569I
b = 1.98156 + 0.52442I
−5.24590 − 1.12386I 0
u = −0.345041 − 1.103590I
a = 1.14839 − 0.91569I
b = 1.98156 − 0.52442I
−5.24590 + 1.12386I 0
u = 0.547805 + 1.019380I
a = 0.784206 + 0.544874I
b = 0.841813 − 0.555541I
−1.081600 + 0.205365I 0
u = 0.547805 − 1.019380I
a = 0.784206 − 0.544874I
b = 0.841813 + 0.555541I
−1.081600 − 0.205365I 0
u = −0.646682 + 0.534024I
a = 1.06485 − 1.03858I
b = 0.573543 + 0.171316I
−2.55016 + 1.06949I 0
u = −0.646682 − 0.534024I
a = 1.06485 + 1.03858I
b = 0.573543 − 0.171316I
−2.55016 − 1.06949I 0
u = −0.332377 + 0.769653I
a = −0.21601 + 2.30748I
b = −0.33659 + 2.64018I
−2.68713 − 6.41286I 0
u = −0.332377 − 0.769653I
a = −0.21601 − 2.30748I
b = −0.33659 − 2.64018I
−2.68713 + 6.41286I 0
u = 0.725805 + 0.415106I
a = −0.606486 − 0.116539I
b = −0.589604 + 0.253650I
0.362740 + 1.324350I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.725805 − 0.415106I
a = −0.606486 + 0.116539I
b = −0.589604 − 0.253650I
0.362740 − 1.324350I 0
u = −0.116898 + 1.158270I
a = 1.53679 + 0.17839I
b = 2.32806 − 0.08252I
−4.25718 + 1.20520I 0
u = −0.116898 − 1.158270I
a = 1.53679 − 0.17839I
b = 2.32806 + 0.08252I
−4.25718 − 1.20520I 0
u = 0.383159 + 1.103090I
a = −0.962500 + 0.752145I
b = −1.77229 + 2.36253I
−5.30848 − 3.20886I 0
u = 0.383159 − 1.103090I
a = −0.962500 − 0.752145I
b = −1.77229 − 2.36253I
−5.30848 + 3.20886I 0
u = −0.451440 + 1.080940I
a = 0.800482 − 0.588323I
b = 0.938164 + 0.472350I
−1.163910 − 0.786720I 0
u = −0.451440 − 1.080940I
a = 0.800482 + 0.588323I
b = 0.938164 − 0.472350I
−1.163910 + 0.786720I 0
u = 0.422902 + 1.098430I
a = 1.84201 + 0.78115I
b = 2.20323 + 1.08182I
−2.23070 + 0.56794I 0
u = 0.422902 − 1.098430I
a = 1.84201 − 0.78115I
b = 2.20323 − 1.08182I
−2.23070 − 0.56794I 0
u = −0.458491 + 1.084610I
a = −0.714432 − 1.185340I
b = −1.32638 − 3.18509I
0.40177 − 3.55687I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.458491 − 1.084610I
a = −0.714432 + 1.185340I
b = −1.32638 + 3.18509I
0.40177 + 3.55687I 0
u = −0.469416 + 1.082820I
a = −0.093041 − 0.551849I
b = 0.247775 + 0.351022I
−1.03527 − 6.27958I 0
u = −0.469416 − 1.082820I
a = −0.093041 + 0.551849I
b = 0.247775 − 0.351022I
−1.03527 + 6.27958I 0
u = 0.233183 + 1.157760I
a = 0.917580 − 0.478336I
b = 2.19796 − 0.42643I
−8.46939 + 1.54159I 0
u = 0.233183 − 1.157760I
a = 0.917580 + 0.478336I
b = 2.19796 + 0.42643I
−8.46939 − 1.54159I 0
u = −0.798609 + 0.127641I
a = 0.80609 + 1.99177I
b = −0.098263 + 0.236236I
−6.25329 + 3.52327I 0
u = −0.798609 − 0.127641I
a = 0.80609 − 1.99177I
b = −0.098263 − 0.236236I
−6.25329 − 3.52327I 0
u = −0.549070 + 1.059660I
a = −1.19056 + 1.02991I
b = −2.13444 + 1.17123I
−4.17076 − 5.74669I 0
u = −0.549070 − 1.059660I
a = −1.19056 − 1.02991I
b = −2.13444 − 1.17123I
−4.17076 + 5.74669I 0
u = 0.482657 + 1.093120I
a = 1.76141 − 0.62048I
b = 3.01916 − 1.13238I
−0.10816 + 4.41774I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.482657 − 1.093120I
a = 1.76141 + 0.62048I
b = 3.01916 + 1.13238I
−0.10816 − 4.41774I 0
u = −0.824240 + 0.867010I
a = −0.033092 − 0.182100I
b = −0.441577 + 0.091360I
3.03707 − 3.05245I 0
u = −0.824240 − 0.867010I
a = −0.033092 + 0.182100I
b = −0.441577 − 0.091360I
3.03707 + 3.05245I 0
u = 0.601604 + 1.035200I
a = −0.097785 + 0.631510I
b = 0.348734 + 0.413731I
−1.38718 + 3.71905I 0
u = 0.601604 − 1.035200I
a = −0.097785 − 0.631510I
b = 0.348734 − 0.413731I
−1.38718 − 3.71905I 0
u = −0.542572 + 1.070150I
a = −1.78926 + 0.50083I
b = −2.97774 + 0.92695I
−1.49183 − 7.86123I 0
u = −0.542572 − 1.070150I
a = −1.78926 − 0.50083I
b = −2.97774 − 0.92695I
−1.49183 + 7.86123I 0
u = 0.309993 + 1.159420I
a = 1.404010 + 0.151915I
b = 2.42155 + 1.36019I
−9.30742 − 2.43693I 0
u = 0.309993 − 1.159420I
a = 1.404010 − 0.151915I
b = 2.42155 − 1.36019I
−9.30742 + 2.43693I 0
u = 0.289712 + 0.743814I
a = −0.063647 − 0.935766I
b = −0.344138 − 1.281830I
−0.22312 + 2.03344I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.289712 − 0.743814I
a = −0.063647 + 0.935766I
b = −0.344138 + 1.281830I
−0.22312 − 2.03344I 0
u = 0.616770 + 0.505046I
a = 0.197342 − 0.798565I
b = −1.308510 − 0.474613I
0.41886 + 4.40049I 0
u = 0.616770 − 0.505046I
a = 0.197342 + 0.798565I
b = −1.308510 + 0.474613I
0.41886 − 4.40049I 0
u = 0.580502 + 0.544023I
a = 0.967205 + 0.116282I
b = −0.422730 − 0.119944I
1.13183 + 1.44638I 0
u = 0.580502 − 0.544023I
a = 0.967205 − 0.116282I
b = −0.422730 + 0.119944I
1.13183 − 1.44638I 0
u = 0.473790 + 1.108350I
a = −2.09192 + 1.01004I
b = −2.83871 + 1.11234I
−1.86361 + 6.85669I 0
u = 0.473790 − 1.108350I
a = −2.09192 − 1.01004I
b = −2.83871 − 1.11234I
−1.86361 − 6.85669I 0
u = 0.420548 + 1.130940I
a = −1.58806 − 0.83622I
b = −2.47273 − 0.52937I
−7.22191 + 1.52317I 0
u = 0.420548 − 1.130940I
a = −1.58806 + 0.83622I
b = −2.47273 + 0.52937I
−7.22191 − 1.52317I 0
u = −0.541223 + 1.084210I
a = −1.257890 + 0.093994I
b = −1.63526 + 0.44936I
−1.74817 − 7.28829I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.541223 − 1.084210I
a = −1.257890 − 0.093994I
b = −1.63526 − 0.44936I
−1.74817 + 7.28829I 0
u = 0.236625 + 1.188870I
a = −0.299425 + 0.548056I
b = −0.961238 + 0.363852I
−4.48456 + 4.02067I 0
u = 0.236625 − 1.188870I
a = −0.299425 − 0.548056I
b = −0.961238 − 0.363852I
−4.48456 − 4.02067I 0
u = 0.747874 + 0.244536I
a = −0.46227 + 2.50916I
b = 0.563510 + 0.429958I
−5.13314 − 5.71116I 0
u = 0.747874 − 0.244536I
a = −0.46227 − 2.50916I
b = 0.563510 − 0.429958I
−5.13314 + 5.71116I 0
u = −0.675870 + 0.399177I
a = 0.50445 − 2.05809I
b = 0.071628 − 0.414562I
0.45098 + 3.15192I 0
u = −0.675870 − 0.399177I
a = 0.50445 + 2.05809I
b = 0.071628 + 0.414562I
0.45098 − 3.15192I 0
u = −0.535036 + 1.094650I
a = −2.61029 − 0.28492I
b = −3.42078 − 0.57740I
−2.23095 − 10.64040I 0
u = −0.535036 − 1.094650I
a = −2.61029 + 0.28492I
b = −3.42078 + 0.57740I
−2.23095 + 10.64040I 0
u = 0.473276 + 1.129650I
a = 1.087770 − 0.548024I
b = 1.80572 + 0.27444I
−6.84995 + 6.27359I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.473276 − 1.129650I
a = 1.087770 + 0.548024I
b = 1.80572 − 0.27444I
−6.84995 − 6.27359I 0
u = 0.762848 + 0.135949I
a = 0.58678 + 1.57032I
b = 0.882411 + 0.656826I
−5.01247 − 6.00479I 0
u = 0.762848 − 0.135949I
a = 0.58678 − 1.57032I
b = 0.882411 − 0.656826I
−5.01247 + 6.00479I 0
u = 0.502601 + 1.119240I
a = −0.240995 + 1.042730I
b = −0.37286 + 2.90419I
−4.45118 + 10.75730I 0
u = 0.502601 − 1.119240I
a = −0.240995 − 1.042730I
b = −0.37286 − 2.90419I
−4.45118 − 10.75730I 0
u = 0.287541 + 1.193830I
a = −1.48803 − 0.36873I
b = −2.46237 − 1.21265I
−4.89969 − 5.76769I 0
u = 0.287541 − 1.193830I
a = −1.48803 + 0.36873I
b = −2.46237 + 1.21265I
−4.89969 + 5.76769I 0
u = −0.496681 + 1.123250I
a = −1.58307 + 0.85958I
b = −2.33142 + 0.80238I
−4.27542 − 6.44833I 0
u = −0.496681 − 1.123250I
a = −1.58307 − 0.85958I
b = −2.33142 − 0.80238I
−4.27542 + 6.44833I 0
u = −0.657010 + 0.372835I
a = 0.280475 − 1.137390I
b = −0.122076 − 0.598640I
0.30441 + 2.61964I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.657010 − 0.372835I
a = 0.280475 + 1.137390I
b = −0.122076 + 0.598640I
0.30441 − 2.61964I 0
u = 0.898188 + 0.863137I
a = −0.164321 + 0.120590I
b = 0.048251 + 0.216107I
0.87736 + 3.27537I 0
u = 0.898188 − 0.863137I
a = −0.164321 − 0.120590I
b = 0.048251 − 0.216107I
0.87736 − 3.27537I 0
u = −0.650324 + 0.362682I
a = −0.40903 − 2.59114I
b = 0.197113 − 1.304150I
−0.10346 + 6.00550I 0
u = −0.650324 − 0.362682I
a = −0.40903 + 2.59114I
b = 0.197113 + 1.304150I
−0.10346 − 6.00550I 0
u = 0.373700 + 1.199110I
a = 1.10732 − 1.00387I
b = 1.64574 − 0.51656I
−8.94894 − 2.13171I 0
u = 0.373700 − 1.199110I
a = 1.10732 + 1.00387I
b = 1.64574 + 0.51656I
−8.94894 + 2.13171I 0
u = −0.246260 + 1.238550I
a = −1.400950 + 0.189225I
b = −2.35812 + 1.03228I
−9.1198 + 11.9665I 0
u = −0.246260 − 1.238550I
a = −1.400950 − 0.189225I
b = −2.35812 − 1.03228I
−9.1198 − 11.9665I 0
u = 0.537231 + 1.146210I
a = −2.19666 − 0.11927I
b = −3.69173 + 0.43838I
−7.75244 + 10.54450I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.537231 − 1.146210I
a = −2.19666 + 0.11927I
b = −3.69173 − 0.43838I
−7.75244 − 10.54450I 0
u = −0.567239 + 1.134120I
a = −1.94520 + 0.04315I
b = −2.98839 − 0.03191I
−2.01174 − 8.81752I 0
u = −0.567239 − 1.134120I
a = −1.94520 − 0.04315I
b = −2.98839 + 0.03191I
−2.01174 + 8.81752I 0
u = −0.366350 + 1.214110I
a = −1.208570 + 0.524244I
b = −2.12931 + 1.37451I
−10.32110 − 0.45327I 0
u = −0.366350 − 1.214110I
a = −1.208570 − 0.524244I
b = −2.12931 − 1.37451I
−10.32110 + 0.45327I 0
u = 0.504433 + 0.528222I
a = 0.208830 + 0.584481I
b = −0.441359 + 0.095514I
0.93448 + 1.26721I 0
u = 0.504433 − 0.528222I
a = 0.208830 − 0.584481I
b = −0.441359 − 0.095514I
0.93448 − 1.26721I 0
u = 0.506951 + 1.172620I
a = −1.69779 − 0.92472I
b = −2.29521 − 0.76315I
−8.00841 + 10.69510I 0
u = 0.506951 − 1.172620I
a = −1.69779 + 0.92472I
b = −2.29521 + 0.76315I
−8.00841 − 10.69510I 0
u = 0.585065 + 1.142450I
a = −0.972637 − 0.695220I
b = −1.94540 − 1.07770I
−6.07460 + 6.51451I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.585065 − 1.142450I
a = −0.972637 + 0.695220I
b = −1.94540 + 1.07770I
−6.07460 − 6.51451I 0
u = −0.231596 + 1.265530I
a = −0.599924 + 0.060745I
b = −1.235820 + 0.571093I
−7.91576 + 3.44134I 0
u = −0.231596 − 1.265530I
a = −0.599924 − 0.060745I
b = −1.235820 − 0.571093I
−7.91576 − 3.44134I 0
u = −0.505609 + 1.183710I
a = 1.78503 + 0.28698I
b = 3.16052 + 0.62108I
−9.35141 − 8.28603I 0
u = −0.505609 − 1.183710I
a = 1.78503 − 0.28698I
b = 3.16052 − 0.62108I
−9.35141 + 8.28603I 0
u = 0.554182 + 1.163380I
a = 2.01051 − 0.10080I
b = 3.38500 − 0.32836I
−3.0697 + 14.2152I 0
u = 0.554182 − 1.163380I
a = 2.01051 + 0.10080I
b = 3.38500 + 0.32836I
−3.0697 − 14.2152I 0
u = −0.448713 + 0.546644I
a = 0.31309 + 3.01890I
b = 0.346898 + 0.712944I
−1.05536 − 5.74652I 0. + 8.04818I
u = −0.448713 − 0.546644I
a = 0.31309 − 3.01890I
b = 0.346898 − 0.712944I
−1.05536 + 5.74652I 0. − 8.04818I
u = 0.284177 + 1.272950I
a = 1.341760 − 0.002454I
b = 2.07868 + 0.42086I
−6.07518 − 2.23691I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.284177 − 1.272950I
a = 1.341760 + 0.002454I
b = 2.07868 − 0.42086I
−6.07518 + 2.23691I 0
u = −0.346760 + 1.260400I
a = −0.900081 − 0.429562I
b = −1.72205 − 0.23366I
−10.46360 − 8.61600I 0
u = −0.346760 − 1.260400I
a = −0.900081 + 0.429562I
b = −1.72205 + 0.23366I
−10.46360 + 8.61600I 0
u = −0.580299 + 1.175950I
a = 1.97230 − 0.04078I
b = 3.28782 + 0.19968I
−6.8188 − 20.7577I 0
u = −0.580299 − 1.175950I
a = 1.97230 + 0.04078I
b = 3.28782 − 0.19968I
−6.8188 + 20.7577I 0
u = −0.584925 + 1.186300I
a = 1.160110 + 0.029460I
b = 2.03543 + 0.35622I
−5.49837 − 12.46080I 0
u = −0.584925 − 1.186300I
a = 1.160110 − 0.029460I
b = 2.03543 − 0.35622I
−5.49837 + 12.46080I 0
u = −0.647811 + 0.196768I
a = 0.67859 − 1.62622I
b = 0.665835 − 0.451514I
−1.67871 + 2.04684I 0. − 3.71621I
u = −0.647811 − 0.196768I
a = 0.67859 + 1.62622I
b = 0.665835 + 0.451514I
−1.67871 − 2.04684I 0. + 3.71621I
u = 0.566032 + 1.196870I
a = −1.66859 + 0.09354I
b = −2.63208 + 0.13306I
−4.09900 + 11.41130I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.566032 − 1.196870I
a = −1.66859 − 0.09354I
b = −2.63208 − 0.13306I
−4.09900 − 11.41130I 0
u = −0.512318 + 1.229030I
a = 1.075980 − 0.325033I
b = 1.76306 − 0.37885I
−9.31728 − 0.75487I 0
u = −0.512318 − 1.229030I
a = 1.075980 + 0.325033I
b = 1.76306 + 0.37885I
−9.31728 + 0.75487I 0
u = 0.543861 + 1.220190I
a = 0.676874 − 0.248472I
b = 1.205330 − 0.719504I
−1.85372 + 5.05756I 0
u = 0.543861 − 1.220190I
a = 0.676874 + 0.248472I
b = 1.205330 + 0.719504I
−1.85372 − 5.05756I 0
u = 0.611614 + 0.228999I
a = −2.43416 − 0.02033I
b = 0.590607 + 0.017325I
−1.95535 − 6.36470I 3.71559 + 9.07255I
u = 0.611614 − 0.228999I
a = −2.43416 + 0.02033I
b = 0.590607 − 0.017325I
−1.95535 + 6.36470I 3.71559 − 9.07255I
u = −0.264656 + 0.542076I
a = −0.11286 + 1.48219I
b = 1.59922 + 0.61337I
−3.42180 − 2.34729I −1.91720 + 3.29503I
u = −0.264656 − 0.542076I
a = −0.11286 − 1.48219I
b = 1.59922 − 0.61337I
−3.42180 + 2.34729I −1.91720 − 3.29503I
u = 0.580043 + 0.089696I
a = −0.02664 − 1.88535I
b = 0.946817 − 0.311200I
−4.07877 − 2.14692I −3.32050 + 0.87886I
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.580043 − 0.089696I
a = −0.02664 + 1.88535I
b = 0.946817 + 0.311200I
−4.07877 + 2.14692I −3.32050 − 0.87886I
u = 0.528068 + 0.234204I
a = 1.61402 − 2.12063I
b = 0.116818 − 0.264050I
2.22096 − 0.29746I 9.28920 − 1.15000I
u = 0.528068 − 0.234204I
a = 1.61402 + 2.12063I
b = 0.116818 + 0.264050I
2.22096 + 0.29746I 9.28920 + 1.15000I
u = −0.366598 + 0.415777I
a = −0.152019 + 0.334681I
b = −0.980047 − 0.753758I
1.05781 + 2.44636I 3.42389 − 6.12336I
u = −0.366598 − 0.415777I
a = −0.152019 − 0.334681I
b = −0.980047 + 0.753758I
1.05781 − 2.44636I 3.42389 + 6.12336I
u = 0.489369 + 0.137821I
a = −1.43775 + 2.22126I
b = −0.637263 + 0.944625I
0.66934 − 2.84173I 3.56470 + 1.74396I
u = 0.489369 − 0.137821I
a = −1.43775 − 2.22126I
b = −0.637263 − 0.944625I
0.66934 + 2.84173I 3.56470 − 1.74396I
u = −0.256305 + 0.395949I
a = 0.24834 + 1.67677I
b = −1.53165 + 0.58664I
0.98283 − 2.80452I 0.081865 + 0.656677I
u = −0.256305 − 0.395949I
a = 0.24834 − 1.67677I
b = −1.53165 − 0.58664I
0.98283 + 2.80452I 0.081865 − 0.656677I
u = −0.274999 + 0.369774I
a = −2.41258 − 3.01097I
b = 0.582393 − 0.028139I
2.59167 − 0.12281I 0.50582 − 9.26688I
22
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.274999 − 0.369774I
a = −2.41258 + 3.01097I
b = 0.582393 + 0.028139I
2.59167 + 0.12281I 0.50582 + 9.26688I
23
II. I
u
2
= h216u
42
− 709u
41
+ · · · + 131b + 943, 347u
42
− 1233u
41
+ · · · +
131a + 2253, u
43
− u
42
+ · · · − 7u
2
− 1i
(i) Arc colorings
a
2
=
1
0
a
8
=
0
u
a
3
=
1
−u
2
a
5
=
−2.64885u
42
+ 9.41221u
41
+ ··· + 12.0687u − 17.1985
−1.64885u
42
+ 5.41221u
41
+ ··· + 5.06870u − 7.19847
a
9
=
u
u
a
6
=
−2.64885u
42
+ 9.41221u
41
+ ··· + 13.0687u − 20.1985
−1.64885u
42
+ 5.41221u
41
+ ··· + 6.06870u − 10.1985
a
1
=
u
2
+ 1
−u
4
a
7
=
u
5
+ 2u
3
+ u
−u
7
− u
5
+ u
a
12
=
−10.8855u
42
+ 7.22137u
41
+ ··· + 7.87023u + 14.1527
−12.0992u
42
+ 11.2748u
41
+ ··· + 11.0458u + 7.53435
a
10
=
−4.93130u
42
+ 12.7328u
41
+ ··· − 4.87786u + 5.09160
−1.36641u
42
+ 11.0916u
41
+ ··· + 1.01527u − 2.48855
a
4
=
−2.08397u
42
− 14.2290u
41
+ ··· + 3.96183u + 6.22137
−3.32824u
42
− 8.16794u
41
+ ··· + 0.305344u + 13.2290
a
11
=
−5.68702u
42
+ 11.6718u
41
+ ··· − 8.22137u + 9.08397
−3.68702u
42
+ 13.6718u
41
+ ··· + 0.778626u − 1.91603
(ii) Obstruction class = 1
(iii) Cusp Shapes =
19
131
u
42
+
3041
131
u
41
+ ··· +
3891
131
u −
8970
131
24
(iv) u-Polynomials at the component
25
Crossings u-Polynomials at each crossing
c
1
u
43
− 23u
42
+ ··· − 14u + 1
c
2
u
43
− u
42
+ ··· − 7u
2
− 1
c
3
u
43
− 14u
42
+ ··· + u − 1
c
4
u
43
− 3u
41
+ ··· − 3u + 1
c
5
u
43
− u
42
+ ··· − u + 1
c
6
u
43
− 2u
42
+ ··· − u + 1
c
7
u
43
− u
42
+ ··· − 10u + 1
c
8
u
43
+ u
42
+ ··· + 7u
2
+ 1
c
9
u
43
+ 7u
42
+ ··· − 2u
2
+ 1
c
10
u
43
+ 2u
42
+ ··· − u − 1
c
11
u
43
− 2u
42
+ ··· − 3u − 1
c
12
u
43
− 5u
42
+ ··· − u + 1
26
27
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
43
+ 7y
42
+ ··· − 18y −1
c
2
, c
8
y
43
+ 23y
42
+ ··· − 14y −1
c
3
y
43
− 2y
42
+ ··· + 3y −1
c
4
y
43
− 6y
42
+ ··· + 7y −1
c
5
y
43
− 23y
42
+ ··· − 21y −1
c
6
, c
10
y
43
+ 20y
42
+ ··· − 41y −1
c
7
y
43
− 3y
42
+ ··· + 10y −1
c
9
y
43
− 19y
42
+ ··· + 4y −1
c
11
y
43
+ 10y
42
+ ··· + 25y −1
c
12
y
43
− 3y
42
+ ··· − 23y −1
28
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.147581 + 0.967681I
a = 1.81290 − 0.48409I
b = 2.79934 − 0.20256I
−4.81797 − 1.29167I −11.17937 + 1.51589I
u = 0.147581 − 0.967681I
a = 1.81290 + 0.48409I
b = 2.79934 + 0.20256I
−4.81797 + 1.29167I −11.17937 − 1.51589I
u = 0.239451 + 0.994117I
a = −0.008190 − 1.331180I
b = 0.897542 − 1.014310I
−5.09511 + 2.87535I −7.68843 − 4.15579I
u = 0.239451 − 0.994117I
a = −0.008190 + 1.331180I
b = 0.897542 + 1.014310I
−5.09511 − 2.87535I −7.68843 + 4.15579I
u = −0.461022 + 1.002360I
a = −0.496423 − 1.025360I
b = −0.032447 − 0.310959I
−0.19498 − 5.40083I 3.61159 + 4.85727I
u = −0.461022 − 1.002360I
a = −0.496423 + 1.025360I
b = −0.032447 + 0.310959I
−0.19498 + 5.40083I 3.61159 − 4.85727I
u = 0.440680 + 1.021100I
a = 2.40301 − 0.78727I
b = 3.27299 − 1.59955I
−3.29595 − 2.32394I −3.49404 + 3.67409I
u = 0.440680 − 1.021100I
a = 2.40301 + 0.78727I
b = 3.27299 + 1.59955I
−3.29595 + 2.32394I −3.49404 − 3.67409I
u = −0.488696 + 1.020530I
a = 0.819997 − 0.962949I
b = 0.895040 − 0.006610I
0.038859 − 0.620184I 5.94449 + 0.78073I
u = −0.488696 − 1.020530I
a = 0.819997 + 0.962949I
b = 0.895040 + 0.006610I
0.038859 + 0.620184I 5.94449 − 0.78073I
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.508158 + 1.025880I
a = −1.38833 − 1.06337I
b = −1.58574 − 1.93543I
−2.82285 + 8.51260I −3.59817 − 11.11838I
u = 0.508158 − 1.025880I
a = −1.38833 + 1.06337I
b = −1.58574 + 1.93543I
−2.82285 − 8.51260I −3.59817 + 11.11838I
u = −0.463516 + 1.048920I
a = 0.67721 + 1.25166I
b = 1.27324 + 3.01779I
0.94931 − 3.29472I 10.18307 + 0.91300I
u = −0.463516 − 1.048920I
a = 0.67721 − 1.25166I
b = 1.27324 − 3.01779I
0.94931 + 3.29472I 10.18307 − 0.91300I
u = −0.783267 + 0.867723I
a = −0.162582 − 0.311464I
b = −0.434558 − 0.152562I
3.29088 − 2.93967I 16.8601 − 2.6303I
u = −0.783267 − 0.867723I
a = −0.162582 + 0.311464I
b = −0.434558 + 0.152562I
3.29088 + 2.93967I 16.8601 + 2.6303I
u = 0.231451 + 1.163910I
a = 1.71580 − 0.14448I
b = 2.43063 + 0.25125I
−4.62584 − 1.48403I −7.78282 + 9.04199I
u = 0.231451 − 1.163910I
a = 1.71580 + 0.14448I
b = 2.43063 − 0.25125I
−4.62584 + 1.48403I −7.78282 − 9.04199I
u = 0.804406
a = −1.22113
b = 0.107716
1.49171 −23.6080
u = 0.749719 + 0.285254I
a = −0.27162 + 2.09849I
b = 0.009924 + 0.839618I
−0.14548 − 4.49496I 0.02639 + 6.46400I
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.749719 − 0.285254I
a = −0.27162 − 2.09849I
b = 0.009924 − 0.839618I
−0.14548 + 4.49496I 0.02639 − 6.46400I
u = −0.397331 + 0.690213I
a = −0.677350 − 0.511281I
b = −0.98917 − 1.39536I
0.92792 + 1.73743I 0.22392 + 4.17812I
u = −0.397331 − 0.690213I
a = −0.677350 + 0.511281I
b = −0.98917 + 1.39536I
0.92792 − 1.73743I 0.22392 − 4.17812I
u = −0.776344 + 0.165252I
a = −0.53823 − 1.40059I
b = 0.442181 − 0.430676I
−3.75029 + 5.62519I 0.51865 − 5.19473I
u = −0.776344 − 0.165252I
a = −0.53823 + 1.40059I
b = 0.442181 + 0.430676I
−3.75029 − 5.62519I 0.51865 + 5.19473I
u = 0.491324 + 0.616496I
a = 1.54267 + 0.45537I
b = 0.607709 + 0.843400I
−1.47400 − 4.35751I 0.55649 + 4.53115I
u = 0.491324 − 0.616496I
a = 1.54267 − 0.45537I
b = 0.607709 − 0.843400I
−1.47400 + 4.35751I 0.55649 − 4.53115I
u = 0.887935 + 0.871827I
a = 0.0852827 − 0.0916029I
b = −0.139652 − 0.254491I
0.81753 + 3.25424I −54.0339 + 11.5751I
u = 0.887935 − 0.871827I
a = 0.0852827 + 0.0916029I
b = −0.139652 + 0.254491I
0.81753 − 3.25424I −54.0339 − 11.5751I
u = −0.335839 + 1.202830I
a = 0.873451 + 0.192193I
b = 1.42588 − 0.52774I
−7.91517 + 1.88743I 0
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.335839 − 1.202830I
a = 0.873451 − 0.192193I
b = 1.42588 + 0.52774I
−7.91517 − 1.88743I 0
u = −0.474548 + 0.580266I
a = −0.431457 + 0.713239I
b = −1.65563 + 0.25173I
1.43613 − 3.40106I 6.68305 + 8.05454I
u = −0.474548 − 0.580266I
a = −0.431457 − 0.713239I
b = −1.65563 − 0.25173I
1.43613 + 3.40106I 6.68305 − 8.05454I
u = 0.552534 + 1.130110I
a = −2.12882 + 0.12365I
b = −3.05864 + 0.20643I
−2.59319 + 9.39752I 0. − 9.57343I
u = 0.552534 − 1.130110I
a = −2.12882 − 0.12365I
b = −3.05864 − 0.20643I
−2.59319 − 9.39752I 0. + 9.57343I
u = −0.521519 + 1.164890I
a = −1.63995 − 0.01349I
b = −2.55404 − 0.59384I
−6.63929 − 10.40680I 0
u = −0.521519 − 1.164890I
a = −1.63995 + 0.01349I
b = −2.55404 + 0.59384I
−6.63929 + 10.40680I 0
u = 0.348070 + 0.623359I
a = 0.16332 − 3.00566I
b = −0.39834 − 1.42971I
−1.91111 + 5.81936I 0.51933 − 8.32678I
u = 0.348070 − 0.623359I
a = 0.16332 + 3.00566I
b = −0.39834 + 1.42971I
−1.91111 − 5.81936I 0.51933 + 8.32678I
u = 0.548287 + 1.189040I
a = −0.783461 + 0.159299I
b = −1.42438 + 0.59111I
−1.78394 + 4.91337I 0
32
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.548287 − 1.189040I
a = −0.783461 − 0.159299I
b = −1.42438 − 0.59111I
−1.78394 − 4.91337I 0
u = −0.345312 + 0.527336I
a = 1.54335 + 2.25855I
b = −0.335739 + 0.044580I
2.67014 − 0.39884I 7.4059 + 16.1405I
u = −0.345312 − 0.527336I
a = 1.54335 − 2.25855I
b = −0.335739 − 0.044580I
2.67014 + 0.39884I 7.4059 − 16.1405I
33
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
43
− 23u
42
+ ··· − 14u + 1)(u
181
+ 92u
180
+ ··· − 15u − 1)
c
2
(u
43
− u
42
+ ··· − 7u
2
− 1)(u
181
+ 46u
179
+ ··· − u − 1)
c
3
(u
43
− 14u
42
+ ··· + u − 1)
· (u
181
+ 13u
180
+ ··· + 628733104u − 211700029)
c
4
(u
43
− 3u
41
+ ··· − 3u + 1)(u
181
− u
180
+ ··· + 212u − 3)
c
5
(u
43
− u
42
+ ··· − u + 1)(u
181
− 4u
180
+ ··· − 476890u − 36227)
c
6
(u
43
− 2u
42
+ ··· − u + 1)(u
181
+ u
180
+ ··· + 386176u − 88157)
c
7
(u
43
− u
42
+ ··· − 10u + 1)
· (u
181
− 35u
179
+ ··· + 202878969u − 21005497)
c
8
(u
43
+ u
42
+ ··· + 7u
2
+ 1)(u
181
+ 46u
179
+ ··· − u − 1)
c
9
(u
43
+ 7u
42
+ ··· − 2u
2
+ 1)(u
181
+ 14u
180
+ ··· − 35u − 1)
c
10
(u
43
+ 2u
42
+ ··· − u − 1)(u
181
+ u
180
+ ··· + 386176u − 88157)
c
11
(u
43
− 2u
42
+ ··· − 3u − 1)(u
181
+ 3u
180
+ ··· + 1540072u + 1602889)
c
12
(u
43
− 5u
42
+ ··· − u + 1)(u
181
+ 2u
180
+ ··· + 68u + 1)
34
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
43
+ 7y
42
+ ··· − 18y −1)(y
181
+ 8y
180
+ ··· − 87y −1)
c
2
, c
8
(y
43
+ 23y
42
+ ··· − 14y −1)(y
181
+ 92y
180
+ ··· − 15y −1)
c
3
(y
43
− 2y
42
+ ··· + 3y −1)
· (y
181
− 61y
180
+ ··· + 466437623685825210y −44816902278600841)
c
4
(y
43
− 6y
42
+ ··· + 7y −1)(y
181
− 9y
180
+ ··· + 17746y −9)
c
5
(y
43
− 23y
42
+ ··· − 21y −1)
· (y
181
+ 18y
180
+ ··· − 14914777958y −1312395529)
c
6
, c
10
(y
43
+ 20y
42
+ ··· − 41y −1)
· (y
181
+ 109y
180
+ ··· − 436279416002y −7771656649)
c
7
(y
43
− 3y
42
+ ··· + 10y −1)
· (y
181
− 70y
180
+ ··· + 4677292519050717y −441230904217009)
c
9
(y
43
− 19y
42
+ ··· + 4y −1)(y
181
+ 2y
180
+ ··· − 21y −1)
c
11
(y
43
+ 10y
42
+ ··· + 25y −1)
· (y
181
− 37y
180
+ ··· + 210067324431820y −2569253146321)
c
12
(y
43
− 3y
42
+ ··· − 23y −1)(y
181
− 2y
180
+ ··· + 380y −1)
35
