12a
0755
(K12a
0755
)
A knot diagram
1
Linearized knot diagam
3 8 10 11 9 12 2 5 7 1 6 4
Solving Sequence
6,12 7,9
10 5 8 11 4 1 3 2
c
6
c
9
c
5
c
8
c
11
c
4
c
12
c
3
c
2
c
1
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h6.46942 × 10
1040
u
179
− 2.62189 × 10
1042
u
178
+ ··· + 1.27215 × 10
1044
b − 1.16593 × 10
1046
,
− 8.30947 × 10
1047
u
179
− 2.59048 × 10
1047
u
178
+ ··· + 1.29887 × 10
1047
a + 1.26957 × 10
1051
,
u
180
+ u
179
+ ··· − 758u − 1021i
I
u
2
= h−1.16181 × 10
28
u
44
+ 9.07809 × 10
27
u
43
+ ··· + 1.13258 × 10
27
b + 2.27919 × 10
28
,
− 1.18648 × 10
36
u
44
+ 7.69318 × 10
35
u
43
+ ··· + 1.37485 × 10
34
a + 1.64948 × 10
36
,
u
45
− 11u
43
+ ··· + 2u − 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
= h6.47 × 10
1040
u
179
− 2.62 × 10
1042
u
178
+ · · · + 1.27 × 10
1044
b − 1.17 ×
10
1046
, −8.31 × 10
1047
u
179
− 2.59 × 10
1047
u
178
+ · · · + 1.30 × 10
1047
a +
1.27 × 10
1051
, u
180
+ u
179
+ · · · − 758u − 1021i
(i) Arc colorings
a
6
=
1
0
a
12
=
0
u
a
7
=
1
−u
2
a
9
=
6.39748u
179
+ 1.99441u
178
+ ··· + 6979.93u − 9774.44
−0.000508542u
179
+ 0.0206099u
178
+ ··· − 28.9465u + 91.6505
a
10
=
3.46652u
179
+ 1.06821u
178
+ ··· + 3814.58u − 5370.56
1.36513u
179
+ 0.454516u
178
+ ··· + 1443.96u − 1955.21
a
5
=
3.79544u
179
+ 1.22942u
178
+ ··· + 4136.52u − 5632.08
−0.148231u
179
− 0.0220783u
178
+ ··· − 66.4305u + 202.432
a
8
=
4.21091u
179
+ 1.19632u
178
+ ··· + 4437.64u − 6570.69
0.00432269u
179
+ 0.135364u
178
+ ··· + 176.418u + 164.437
a
11
=
−u
u
a
4
=
2.11858u
179
+ 0.671018u
178
+ ··· + 2262.14u − 3140.98
1.52863u
179
+ 0.536325u
178
+ ··· + 1807.95u − 2288.67
a
1
=
−1.56079u
179
− 0.442388u
178
+ ··· − 1483.13u + 2315.85
−0.300723u
179
− 0.129530u
178
+ ··· − 383.029u + 399.106
a
3
=
−1.24373u
179
− 0.490347u
178
+ ··· − 1742.93u + 1977.89
−0.991737u
179
− 0.256247u
178
+ ··· − 952.526u + 1555.45
a
2
=
3.27816u
179
+ 1.13776u
178
+ ··· + 3613.16u − 4770.78
−0.535606u
179
− 0.257279u
178
+ ··· − 689.852u + 718.550
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.659722u
179
− 0.371440u
178
+ ··· − 607.760u + 665.189
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
180
+ 71u
179
+ ··· + 772300u + 22801
c
2
, c
7
u
180
+ u
179
+ ··· − 180u − 151
c
3
u
180
+ 2u
179
+ ··· − 45u + 1
c
4
u
180
− u
179
+ ··· + 565923008u − 391286809
c
5
, c
8
u
180
+ 2u
179
+ ··· + 731401u + 82807
c
6
, c
11
u
180
+ u
179
+ ··· − 758u − 1021
c
9
u
180
− 5u
179
+ ··· − 3167561u − 887597
c
10
u
180
− 14u
179
+ ··· − 360019u + 18833
c
12
u
180
+ 12u
179
+ ··· + 305u + 25
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
180
+ 69y
179
+ ··· + 393405409088y + 519885601
c
2
, c
7
y
180
− 71y
179
+ ··· − 772300y + 22801
c
3
y
180
+ 26y
179
+ ··· − 13y + 1
c
4
y
180
− 17y
179
+ ··· − 768200127417898812y + 153105366897402481
c
5
, c
8
y
180
− 90y
179
+ ··· − 186489273469y + 6856999249
c
6
, c
11
y
180
− 95y
179
+ ··· − 38394446y + 1042441
c
9
y
180
+ y
179
+ ··· − 19198314861057y + 787828434409
c
10
y
180
+ 30y
179
+ ··· + 35805184153y + 354681889
c
12
y
180
+ 156y
178
+ ··· + 35575y + 625
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.544652 + 0.856933I
a = 0.353098 − 0.630739I
b = −0.888060 + 0.565610I
−2.18832 − 2.35646I 0
u = −0.544652 − 0.856933I
a = 0.353098 + 0.630739I
b = −0.888060 − 0.565610I
−2.18832 + 2.35646I 0
u = 0.858660 + 0.560485I
a = −1.10265 − 1.16702I
b = −0.617562 + 0.739902I
3.46099 + 1.89790I 0
u = 0.858660 − 0.560485I
a = −1.10265 + 1.16702I
b = −0.617562 − 0.739902I
3.46099 − 1.89790I 0
u = −0.967490 + 0.365847I
a = 1.08622 − 1.56153I
b = −0.37943 + 1.43434I
4.66054 − 3.17592I 0
u = −0.967490 − 0.365847I
a = 1.08622 + 1.56153I
b = −0.37943 − 1.43434I
4.66054 + 3.17592I 0
u = −0.861598 + 0.417149I
a = −0.05218 − 2.15259I
b = 0.934370 + 0.489622I
−1.54454 − 4.15543I 0
u = −0.861598 − 0.417149I
a = −0.05218 + 2.15259I
b = 0.934370 − 0.489622I
−1.54454 + 4.15543I 0
u = −0.962447 + 0.416308I
a = 0.77363 + 1.75507I
b = −1.200450 − 0.612984I
−5.53707 − 2.51693I 0
u = −0.962447 − 0.416308I
a = 0.77363 − 1.75507I
b = −1.200450 + 0.612984I
−5.53707 + 2.51693I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.999288 + 0.319199I
a = 0.818191 − 0.163003I
b = −0.744256 + 0.815866I
3.08831 + 3.86688I 0
u = −0.999288 − 0.319199I
a = 0.818191 + 0.163003I
b = −0.744256 − 0.815866I
3.08831 − 3.86688I 0
u = −0.771002 + 0.546425I
a = 0.47917 + 1.62861I
b = −1.335510 − 0.253643I
−4.16813 + 4.93589I 0
u = −0.771002 − 0.546425I
a = 0.47917 − 1.62861I
b = −1.335510 + 0.253643I
−4.16813 − 4.93589I 0
u = 1.046460 + 0.253603I
a = 0.57796 + 1.64382I
b = −0.63788 − 1.32819I
4.34051 + 4.64779I 0
u = 1.046460 − 0.253603I
a = 0.57796 − 1.64382I
b = −0.63788 + 1.32819I
4.34051 − 4.64779I 0
u = −1.026850 + 0.327802I
a = −0.61461 − 2.39323I
b = 1.131340 + 0.426064I
−0.65133 − 4.75263I 0
u = −1.026850 − 0.327802I
a = −0.61461 + 2.39323I
b = 1.131340 − 0.426064I
−0.65133 + 4.75263I 0
u = −0.399718 + 1.008750I
a = −0.436601 − 0.225868I
b = −0.960412 + 0.350083I
−2.21102 + 1.15028I 0
u = −0.399718 − 1.008750I
a = −0.436601 + 0.225868I
b = −0.960412 − 0.350083I
−2.21102 − 1.15028I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.030690 + 0.346978I
a = −1.11250 − 1.40448I
b = 0.47107 + 1.33545I
4.71254 − 1.28878I 0
u = 1.030690 − 0.346978I
a = −1.11250 + 1.40448I
b = 0.47107 − 1.33545I
4.71254 + 1.28878I 0
u = −0.795351 + 0.439349I
a = −0.394551 − 0.558444I
b = 1.60867 + 0.01926I
−4.15704 − 8.98961I 0
u = −0.795351 − 0.439349I
a = −0.394551 + 0.558444I
b = 1.60867 − 0.01926I
−4.15704 + 8.98961I 0
u = 0.658525 + 0.876293I
a = −0.448538 − 0.461235I
b = 1.077040 + 0.527167I
−2.49064 − 1.62266I 0
u = 0.658525 − 0.876293I
a = −0.448538 + 0.461235I
b = 1.077040 − 0.527167I
−2.49064 + 1.62266I 0
u = 1.057840 + 0.305101I
a = −0.914371 − 0.505553I
b = 0.653215 + 0.860470I
3.72825 + 1.22255I 0
u = 1.057840 − 0.305101I
a = −0.914371 + 0.505553I
b = 0.653215 − 0.860470I
3.72825 − 1.22255I 0
u = −0.706400 + 0.555166I
a = −0.144991 − 0.084069I
b = −1.015630 + 0.190671I
−1.82917 + 0.21089I 0
u = −0.706400 − 0.555166I
a = −0.144991 + 0.084069I
b = −1.015630 − 0.190671I
−1.82917 − 0.21089I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.833701 + 0.323163I
a = 0.115274 − 0.219384I
b = −1.46859 − 0.07425I
−1.61760 + 4.01420I 0
u = 0.833701 − 0.323163I
a = 0.115274 + 0.219384I
b = −1.46859 + 0.07425I
−1.61760 − 4.01420I 0
u = 0.134108 + 0.883852I
a = 0.164549 − 0.118172I
b = 1.165680 − 0.403607I
−1.93976 + 7.29622I 0
u = 0.134108 − 0.883852I
a = 0.164549 + 0.118172I
b = 1.165680 + 0.403607I
−1.93976 − 7.29622I 0
u = −0.954125 + 0.564822I
a = 0.94446 − 1.44653I
b = 0.769698 + 0.802098I
3.39181 − 7.30281I 0
u = −0.954125 − 0.564822I
a = 0.94446 + 1.44653I
b = 0.769698 − 0.802098I
3.39181 + 7.30281I 0
u = 0.818772 + 0.749291I
a = −0.326308 − 0.060149I
b = 1.181920 + 0.251409I
−2.81671 + 3.20015I 0
u = 0.818772 − 0.749291I
a = −0.326308 + 0.060149I
b = 1.181920 − 0.251409I
−2.81671 − 3.20015I 0
u = 0.816264 + 0.754277I
a = −0.10381 − 1.79852I
b = −0.897029 + 0.748328I
−2.01951 + 7.53940I 0
u = 0.816264 − 0.754277I
a = −0.10381 + 1.79852I
b = −0.897029 − 0.748328I
−2.01951 − 7.53940I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.896847 + 0.662839I
a = 0.08115 − 1.84945I
b = 0.759907 + 0.677854I
−1.18795 − 3.20557I 0
u = −0.896847 − 0.662839I
a = 0.08115 + 1.84945I
b = 0.759907 − 0.677854I
−1.18795 + 3.20557I 0
u = −0.950258 + 0.590530I
a = 0.21391 − 1.39805I
b = 0.616278 − 0.028724I
0.87027 − 4.86559I 0
u = −0.950258 − 0.590530I
a = 0.21391 + 1.39805I
b = 0.616278 + 0.028724I
0.87027 + 4.86559I 0
u = 1.073410 + 0.330573I
a = 0.88043 − 2.36486I
b = −1.211100 + 0.381137I
−1.87778 + 9.84922I 0
u = 1.073410 − 0.330573I
a = 0.88043 + 2.36486I
b = −1.211100 − 0.381137I
−1.87778 − 9.84922I 0
u = 0.799901 + 0.349974I
a = −0.63357 + 2.05521I
b = 1.032160 − 0.358952I
−1.66606 − 0.94848I 0
u = 0.799901 − 0.349974I
a = −0.63357 − 2.05521I
b = 1.032160 + 0.358952I
−1.66606 + 0.94848I 0
u = −0.871293 + 0.026419I
a = 0.38721 − 2.30721I
b = 1.007110 + 0.564764I
2.41709 − 4.96606I 0
u = −0.871293 − 0.026419I
a = 0.38721 + 2.30721I
b = 1.007110 − 0.564764I
2.41709 + 4.96606I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.866358 + 0.051079I
a = −0.44172 + 1.85510I
b = −1.062440 − 0.517302I
2.58754 + 0.87376I 0
u = 0.866358 − 0.051079I
a = −0.44172 − 1.85510I
b = −1.062440 + 0.517302I
2.58754 − 0.87376I 0
u = −0.817214 + 0.235498I
a = 0.84699 − 1.81913I
b = −0.126436 + 1.407170I
3.88389 + 0.48967I 0
u = −0.817214 − 0.235498I
a = 0.84699 + 1.81913I
b = −0.126436 − 1.407170I
3.88389 − 0.48967I 0
u = 0.452247 + 0.717887I
a = −0.56557 − 1.55660I
b = −1.029210 + 0.547501I
−3.64638 + 2.31168I 0
u = 0.452247 − 0.717887I
a = −0.56557 + 1.55660I
b = −1.029210 − 0.547501I
−3.64638 − 2.31168I 0
u = 0.837829 + 0.023977I
a = −0.33714 + 1.98624I
b = 0.004273 − 1.379410I
3.04547 − 3.16514I 0
u = 0.837829 − 0.023977I
a = −0.33714 − 1.98624I
b = 0.004273 + 1.379410I
3.04547 + 3.16514I 0
u = −1.149680 + 0.182280I
a = −0.38001 + 1.36524I
b = 0.518344 − 1.114800I
6.63013 + 0.67239I 0
u = −1.149680 − 0.182280I
a = −0.38001 − 1.36524I
b = 0.518344 + 1.114800I
6.63013 − 0.67239I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.085510 + 0.436676I
a = 0.74637 − 1.77078I
b = −1.084240 + 0.185420I
−5.28456 + 3.73767I 0
u = 1.085510 − 0.436676I
a = 0.74637 + 1.77078I
b = −1.084240 − 0.185420I
−5.28456 − 3.73767I 0
u = 1.161710 + 0.140485I
a = −1.031520 + 0.868086I
b = 0.541593 − 0.640642I
3.78976 − 0.23686I 0
u = 1.161710 − 0.140485I
a = −1.031520 − 0.868086I
b = 0.541593 + 0.640642I
3.78976 + 0.23686I 0
u = 1.060510 + 0.504574I
a = −0.04254 − 1.42720I
b = −1.39658 + 0.48115I
−1.08030 + 6.00401I 0
u = 1.060510 − 0.504574I
a = −0.04254 + 1.42720I
b = −1.39658 − 0.48115I
−1.08030 − 6.00401I 0
u = 1.138050 + 0.293481I
a = −1.01517 − 1.59294I
b = −1.002130 + 0.289534I
3.75272 + 3.81024I 0
u = 1.138050 − 0.293481I
a = −1.01517 + 1.59294I
b = −1.002130 − 0.289534I
3.75272 − 3.81024I 0
u = 0.364225 + 0.738569I
a = 0.162662 + 0.332479I
b = 1.278100 + 0.526116I
−0.98972 − 5.96088I 0
u = 0.364225 − 0.738569I
a = 0.162662 − 0.332479I
b = 1.278100 − 0.526116I
−0.98972 + 5.96088I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.065475 + 0.809888I
a = −0.976716 + 0.453899I
b = −0.278519 − 0.709195I
2.17617 + 3.58604I 0
u = −0.065475 − 0.809888I
a = −0.976716 − 0.453899I
b = −0.278519 + 0.709195I
2.17617 − 3.58604I 0
u = 0.150530 + 0.793266I
a = 1.056400 + 0.708005I
b = 0.176530 − 0.865905I
0.72737 − 9.16943I 0
u = 0.150530 − 0.793266I
a = 1.056400 − 0.708005I
b = 0.176530 + 0.865905I
0.72737 + 9.16943I 0
u = 0.520582 + 0.609539I
a = 0.104515 + 1.156690I
b = 1.289700 + 0.149462I
−2.75317 − 1.62014I 0
u = 0.520582 − 0.609539I
a = 0.104515 − 1.156690I
b = 1.289700 − 0.149462I
−2.75317 + 1.62014I 0
u = 0.331232 + 1.159550I
a = −0.224162 + 0.183102I
b = −1.126710 − 0.527863I
−0.28241 − 8.29945I 0
u = 0.331232 − 1.159550I
a = −0.224162 − 0.183102I
b = −1.126710 + 0.527863I
−0.28241 + 8.29945I 0
u = −1.120790 + 0.459988I
a = 0.117282 − 0.686946I
b = −0.509589 + 0.541882I
−1.138300 − 0.793069I 0
u = −1.120790 − 0.459988I
a = 0.117282 + 0.686946I
b = −0.509589 − 0.541882I
−1.138300 + 0.793069I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.324228 + 0.711456I
a = −0.347251 + 0.170590I
b = −1.123800 + 0.568451I
−0.323740 + 1.330340I 0
u = −0.324228 − 0.711456I
a = −0.347251 − 0.170590I
b = −1.123800 − 0.568451I
−0.323740 − 1.330340I 0
u = −0.294571 + 1.183130I
a = 0.139200 + 0.241626I
b = 1.197000 − 0.555546I
−2.2759 + 14.3484I 0
u = −0.294571 − 1.183130I
a = 0.139200 − 0.241626I
b = 1.197000 + 0.555546I
−2.2759 − 14.3484I 0
u = 1.140550 + 0.433144I
a = 0.226578 + 1.274700I
b = −0.102636 − 1.152640I
−0.74537 + 6.46765I 0
u = 1.140550 − 0.433144I
a = 0.226578 − 1.274700I
b = −0.102636 + 1.152640I
−0.74537 − 6.46765I 0
u = −0.147509 + 0.756671I
a = 0.164754 − 0.749718I
b = −0.196299 + 0.593717I
−1.55919 + 1.87982I 0
u = −0.147509 − 0.756671I
a = 0.164754 + 0.749718I
b = −0.196299 − 0.593717I
−1.55919 − 1.87982I 0
u = −1.192050 + 0.308145I
a = 0.80750 − 1.88074I
b = 0.977319 + 0.384239I
3.52201 − 9.19808I 0
u = −1.192050 − 0.308145I
a = 0.80750 + 1.88074I
b = 0.977319 − 0.384239I
3.52201 + 9.19808I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.108610 + 0.555508I
a = −0.00822 − 1.82667I
b = −1.39725 + 0.76974I
1.21209 + 10.86510I 0
u = 1.108610 − 0.555508I
a = −0.00822 + 1.82667I
b = −1.39725 − 0.76974I
1.21209 − 10.86510I 0
u = −1.113840 + 0.547780I
a = 0.17282 − 1.84492I
b = 1.28147 + 0.79434I
1.96870 − 6.13886I 0
u = −1.113840 − 0.547780I
a = 0.17282 + 1.84492I
b = 1.28147 − 0.79434I
1.96870 + 6.13886I 0
u = −0.049100 + 1.246410I
a = 0.331163 − 0.515682I
b = 1.073800 + 0.288692I
−5.24445 − 4.67701I 0
u = −0.049100 − 1.246410I
a = 0.331163 + 0.515682I
b = 1.073800 − 0.288692I
−5.24445 + 4.67701I 0
u = 1.218860 + 0.285883I
a = −0.619445 − 0.951208I
b = 0.351749 + 0.764126I
2.80158 + 1.74662I 0
u = 1.218860 − 0.285883I
a = −0.619445 + 0.951208I
b = 0.351749 − 0.764126I
2.80158 − 1.74662I 0
u = −0.713504 + 0.190350I
a = −0.836589 + 0.243306I
b = 1.67967 − 0.27177I
−6.73735 − 0.46894I 0
u = −0.713504 − 0.190350I
a = −0.836589 − 0.243306I
b = 1.67967 + 0.27177I
−6.73735 + 0.46894I 0
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.226170 + 0.361886I
a = −0.579858 − 1.011020I
b = 0.394373 + 0.753679I
2.78506 + 1.79914I 0
u = 1.226170 − 0.361886I
a = −0.579858 + 1.011020I
b = 0.394373 − 0.753679I
2.78506 − 1.79914I 0
u = −0.481697 + 1.199320I
a = −0.366110 + 0.014670I
b = −1.019630 − 0.271133I
−0.167493 − 0.773187I 0
u = −0.481697 − 1.199320I
a = −0.366110 − 0.014670I
b = −1.019630 + 0.271133I
−0.167493 + 0.773187I 0
u = −1.240270 + 0.375598I
a = −0.590068 + 1.161510I
b = −0.765191 − 0.506035I
4.80435 + 5.10558I 0
u = −1.240270 − 0.375598I
a = −0.590068 − 1.161510I
b = −0.765191 + 0.506035I
4.80435 − 5.10558I 0
u = 1.193550 + 0.521377I
a = 0.636367 + 1.210830I
b = −0.391801 − 1.229500I
3.7852 + 14.0444I 0
u = 1.193550 − 0.521377I
a = 0.636367 − 1.210830I
b = −0.391801 + 1.229500I
3.7852 − 14.0444I 0
u = 0.691655 + 0.065228I
a = −0.60439 + 4.07516I
b = 0.617085 − 0.113526I
1.73389 − 1.99583I 0
u = 0.691655 − 0.065228I
a = −0.60439 − 4.07516I
b = 0.617085 + 0.113526I
1.73389 + 1.99583I 0
15
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.209970 + 0.495005I
a = −0.568489 + 1.091390I
b = 0.380450 − 1.129140I
5.52195 − 8.33556I 0
u = −1.209970 − 0.495005I
a = −0.568489 − 1.091390I
b = 0.380450 + 1.129140I
5.52195 + 8.33556I 0
u = −1.227000 + 0.456014I
a = 0.424924 − 1.227150I
b = −0.301274 + 0.756898I
1.68321 − 6.31198I 0
u = −1.227000 − 0.456014I
a = 0.424924 + 1.227150I
b = −0.301274 − 0.756898I
1.68321 + 6.31198I 0
u = −0.386612 + 1.251190I
a = 0.1371510 − 0.0303294I
b = 1.142440 − 0.340319I
−7.41357 + 5.62113I 0
u = −0.386612 − 1.251190I
a = 0.1371510 + 0.0303294I
b = 1.142440 + 0.340319I
−7.41357 − 5.62113I 0
u = 1.052560 + 0.781226I
a = −0.029628 − 0.774611I
b = −0.785460 − 0.177089I
0.85874 − 1.38845I 0
u = 1.052560 − 0.781226I
a = −0.029628 + 0.774611I
b = −0.785460 + 0.177089I
0.85874 + 1.38845I 0
u = 1.248770 + 0.406970I
a = 0.377785 + 1.220990I
b = 0.864035 − 0.549920I
6.11331 + 0.81908I 0
u = 1.248770 − 0.406970I
a = 0.377785 − 1.220990I
b = 0.864035 + 0.549920I
6.11331 − 0.81908I 0
16
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.593551 + 0.329826I
a = −0.781169 + 0.161969I
b = −1.304310 + 0.258713I
−2.01894 + 1.79194I 0
u = −0.593551 − 0.329826I
a = −0.781169 − 0.161969I
b = −1.304310 − 0.258713I
−2.01894 − 1.79194I 0
u = −0.678260 + 0.011891I
a = 0.13191 + 4.52530I
b = −0.579418 − 0.051036I
1.01871 + 7.54583I 0
u = −0.678260 − 0.011891I
a = 0.13191 − 4.52530I
b = −0.579418 + 0.051036I
1.01871 − 7.54583I 0
u = −1.319270 + 0.121327I
a = 1.079920 + 0.214959I
b = −0.609189 − 0.261060I
4.44448 − 4.59561I 0
u = −1.319270 − 0.121327I
a = 1.079920 − 0.214959I
b = −0.609189 + 0.261060I
4.44448 + 4.59561I 0
u = −1.205100 + 0.562996I
a = 0.21180 − 1.60483I
b = 1.112730 + 0.591882I
0.58513 − 6.86715I 0
u = −1.205100 − 0.562996I
a = 0.21180 + 1.60483I
b = 1.112730 − 0.591882I
0.58513 + 6.86715I 0
u = −1.259890 + 0.471549I
a = 0.38091 + 1.53121I
b = −1.24033 − 0.78082I
2.11340 − 12.00400I 0
u = −1.259890 − 0.471549I
a = 0.38091 − 1.53121I
b = −1.24033 + 0.78082I
2.11340 + 12.00400I 0
17
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.304650 + 0.350565I
a = −0.041436 + 0.500583I
b = 0.183841 − 0.578143I
5.07672 − 4.55802I 0
u = −1.304650 − 0.350565I
a = −0.041436 − 0.500583I
b = 0.183841 + 0.578143I
5.07672 + 4.55802I 0
u = 1.273440 + 0.460633I
a = −0.25966 + 1.39170I
b = 1.188750 − 0.701756I
4.38435 + 5.80308I 0
u = 1.273440 − 0.460633I
a = −0.25966 − 1.39170I
b = 1.188750 + 0.701756I
4.38435 − 5.80308I 0
u = 0.592233 + 0.254799I
a = 1.034420 + 0.286727I
b = 1.41788 + 0.26927I
−3.56673 − 7.09378I 0
u = 0.592233 − 0.254799I
a = 1.034420 − 0.286727I
b = 1.41788 − 0.26927I
−3.56673 + 7.09378I 0
u = −0.438925 + 1.288340I
a = 0.284951 − 0.377729I
b = 0.943116 + 0.037674I
−4.88202 − 4.59101I 0
u = −0.438925 − 1.288340I
a = 0.284951 + 0.377729I
b = 0.943116 − 0.037674I
−4.88202 + 4.59101I 0
u = −1.253320 + 0.549442I
a = 0.147960 + 0.877975I
b = −1.201430 − 0.393370I
−1.77375 − 1.69819I 0
u = −1.253320 − 0.549442I
a = 0.147960 − 0.877975I
b = −1.201430 + 0.393370I
−1.77375 + 1.69819I 0
18
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.291275 + 0.529041I
a = −0.663281 − 0.376901I
b = 0.020025 + 0.281797I
−0.074789 + 1.289980I 0
u = 0.291275 − 0.529041I
a = −0.663281 + 0.376901I
b = 0.020025 − 0.281797I
−0.074789 − 1.289980I 0
u = −0.599334
a = −0.221794
b = −0.605276
−1.29685 −7.06650
u = −1.30699 + 0.56082I
a = 0.06737 − 1.64485I
b = 1.099850 + 0.576283I
0.69822 − 6.82682I 0
u = −1.30699 − 0.56082I
a = 0.06737 + 1.64485I
b = 1.099850 − 0.576283I
0.69822 + 6.82682I 0
u = −1.42814 + 0.17262I
a = 1.253160 − 0.413525I
b = −0.790425 + 0.228088I
4.60901 − 1.47835I 0
u = −1.42814 − 0.17262I
a = 1.253160 + 0.413525I
b = −0.790425 − 0.228088I
4.60901 + 1.47835I 0
u = 1.23812 + 0.74310I
a = 0.236088 + 0.997160I
b = 1.166740 − 0.483369I
2.22072 + 8.84075I 0
u = 1.23812 − 0.74310I
a = 0.236088 − 0.997160I
b = 1.166740 + 0.483369I
2.22072 − 8.84075I 0
u = 1.42727 + 0.21994I
a = −1.167730 − 0.626648I
b = 0.730489 + 0.407607I
4.34258 + 5.84793I 0
19
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.42727 − 0.21994I
a = −1.167730 + 0.626648I
b = 0.730489 − 0.407607I
4.34258 − 5.84793I 0
u = 1.27979 + 0.67248I
a = 0.06824 + 1.53398I
b = 1.24950 − 0.68575I
2.7498 + 14.7886I 0
u = 1.27979 − 0.67248I
a = 0.06824 − 1.53398I
b = 1.24950 + 0.68575I
2.7498 − 14.7886I 0
u = −1.27489 + 0.70424I
a = 0.055529 + 1.291130I
b = −1.29854 − 0.57746I
−4.50565 − 12.42870I 0
u = −1.27489 − 0.70424I
a = 0.055529 − 1.291130I
b = −1.29854 + 0.57746I
−4.50565 + 12.42870I 0
u = −1.29465 + 0.67213I
a = 0.01201 + 1.60193I
b = −1.28378 − 0.71719I
0.8989 − 20.8866I 0
u = −1.29465 − 0.67213I
a = 0.01201 − 1.60193I
b = −1.28378 + 0.71719I
0.8989 + 20.8866I 0
u = −1.47837 + 0.12702I
a = −0.463923 + 0.628937I
b = 0.695945 − 0.547155I
6.61268 + 3.58152I 0
u = −1.47837 − 0.12702I
a = −0.463923 − 0.628937I
b = 0.695945 + 0.547155I
6.61268 − 3.58152I 0
u = 1.26031 + 0.84624I
a = −0.080182 − 1.182690I
b = −1.050960 + 0.478017I
−2.79158 + 4.88875I 0
20
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.26031 − 0.84624I
a = −0.080182 + 1.182690I
b = −1.050960 − 0.478017I
−2.79158 − 4.88875I 0
u = 0.65018 + 1.37798I
a = 0.295851 − 0.264637I
b = 0.927954 + 0.265417I
−5.00811 + 2.95519I 0
u = 0.65018 − 1.37798I
a = 0.295851 + 0.264637I
b = 0.927954 − 0.265417I
−5.00811 − 2.95519I 0
u = 0.320300 + 0.335282I
a = 0.952870 − 0.615613I
b = 1.373380 − 0.000146I
−7.45657 − 0.11347I −15.8842 − 2.4193I
u = 0.320300 − 0.335282I
a = 0.952870 + 0.615613I
b = 1.373380 + 0.000146I
−7.45657 + 0.11347I −15.8842 + 2.4193I
u = 1.41200 + 0.64071I
a = 0.14302 − 1.52460I
b = −1.136100 + 0.562878I
−0.75306 + 11.29840I 0
u = 1.41200 − 0.64071I
a = 0.14302 + 1.52460I
b = −1.136100 − 0.562878I
−0.75306 − 11.29840I 0
u = −0.27855 + 1.56130I
a = −0.270593 − 0.004899I
b = −0.989128 − 0.239832I
−0.175662 − 0.753623I 0
u = −0.27855 − 1.56130I
a = −0.270593 + 0.004899I
b = −0.989128 + 0.239832I
−0.175662 + 0.753623I 0
u = 1.58657 + 0.17604I
a = 0.619396 + 0.478820I
b = −0.863712 − 0.452530I
4.53410 − 9.04185I 0
21
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.58657 − 0.17604I
a = 0.619396 − 0.478820I
b = −0.863712 + 0.452530I
4.53410 + 9.04185I 0
u = −0.320510 + 0.222013I
a = 0.81796 − 3.44204I
b = −0.561686 − 0.178337I
−3.52626 − 2.85244I −11.74888 + 3.06766I
u = −0.320510 − 0.222013I
a = 0.81796 + 3.44204I
b = −0.561686 + 0.178337I
−3.52626 + 2.85244I −11.74888 − 3.06766I
u = 0.291806 + 0.203956I
a = −0.74153 + 1.42412I
b = 0.118604 + 0.680726I
2.72864 + 1.35545I 0.64437 − 3.50808I
u = 0.291806 − 0.203956I
a = −0.74153 − 1.42412I
b = 0.118604 − 0.680726I
2.72864 − 1.35545I 0.64437 + 3.50808I
u = −0.170166 + 0.276360I
a = −0.79459 + 1.35427I
b = −0.284913 + 0.796767I
2.13193 + 3.74371I −1.07054 − 3.84485I
u = −0.170166 − 0.276360I
a = −0.79459 − 1.35427I
b = −0.284913 − 0.796767I
2.13193 − 3.74371I −1.07054 + 3.84485I
u = 0.097325 + 0.295460I
a = 3.93808 + 0.91084I
b = −0.488338 − 0.529244I
−3.56616 − 2.81979I −10.23826 + 3.01852I
u = 0.097325 − 0.295460I
a = 3.93808 − 0.91084I
b = −0.488338 + 0.529244I
−3.56616 + 2.81979I −10.23826 − 3.01852I
u = 1.89457
a = 0.279307
b = −0.730326
1.17186 0
22
II. I
u
2
= h−1.16 × 10
28
u
44
+ 9.08 × 10
27
u
43
+ · · · + 1.13 × 10
27
b + 2.28 ×
10
28
, −1.19 × 10
36
u
44
+ 7.69 × 10
35
u
43
+ · · · + 1.37 × 10
34
a + 1.65 ×
10
36
, u
45
− 11u
43
+ · · · + 2u − 1i
(i) Arc colorings
a
6
=
1
0
a
12
=
0
u
a
7
=
1
−u
2
a
9
=
86.2989u
44
− 55.9564u
43
+ ··· + 358.488u − 119.975
10.2581u
44
− 8.01540u
43
+ ··· + 57.0770u − 20.1238
a
10
=
34.5136u
44
− 25.0482u
43
+ ··· + 103.200u − 43.8948
34.2768u
44
− 19.5003u
43
+ ··· + 170.679u − 51.0320
a
5
=
133.366u
44
− 90.7378u
43
+ ··· + 472.849u − 137.475
6.54547u
44
− 1.27841u
43
+ ··· + 49.7423u − 12.5365
a
8
=
−169.480u
44
+ 104.741u
43
+ ··· − 753.380u + 225.998
20.4564u
44
− 6.85171u
43
+ ··· + 8.53235u − 0.306235
a
11
=
−u
u
a
4
=
63.2380u
44
− 43.1812u
43
+ ··· + 148.906u − 45.4585
76.6733u
44
− 48.8350u
43
+ ··· + 373.686u − 104.553
a
1
=
−211.403u
44
+ 134.826u
43
+ ··· − 869.014u + 262.728
176.889u
44
− 109.778u
43
+ ··· + 750.814u − 220.833
a
3
=
168.051u
44
− 117.513u
43
+ ··· + 639.729u − 186.099
−162.248u
44
+ 93.5229u
43
+ ··· − 896.172u + 248.336
a
2
=
253.015u
44
− 93.7555u
43
+ ··· + 1374.65u − 343.733
−114.616u
44
+ 1.83663u
43
+ ··· − 830.116u + 178.406
(ii) Obstruction class = 1
(iii) Cusp Shapes = 156.795u
44
− 98.4542u
43
+ ··· + 1159.09u − 320.528
23
(iv) u-Polynomials at the component
24
Crossings u-Polynomials at each crossing
c
1
u
45
− 18u
44
+ ··· + 16u − 1
c
2
u
45
− 9u
43
+ ··· − 2u + 1
c
3
u
45
− u
44
+ ··· + 13u + 1
c
4
u
45
+ 2u
44
+ ··· + 260u − 25
c
5
u
45
+ 3u
44
+ ··· − 3u − 1
c
6
u
45
− 11u
43
+ ··· + 2u − 1
c
7
u
45
− 9u
43
+ ··· − 2u − 1
c
8
u
45
− 3u
44
+ ··· − 3u + 1
c
9
u
45
+ 6u
44
+ ··· + 25u − 1
c
10
u
45
− 3u
44
+ ··· − 5u + 1
c
11
u
45
− 11u
43
+ ··· + 2u + 1
c
12
u
45
+ u
44
+ ··· + 5u − 1
25
26
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
45
+ 10y
44
+ ··· − 68y −1
c
2
, c
7
y
45
− 18y
44
+ ··· + 16y −1
c
3
y
45
+ 23y
44
+ ··· − 195y −1
c
4
y
45
+ 12y
44
+ ··· + 31200y −625
c
5
, c
8
y
45
− 21y
44
+ ··· + 41y −1
c
6
, c
11
y
45
− 22y
44
+ ··· + 34y −1
c
9
y
45
+ 10y
44
+ ··· + 1005y −1
c
10
y
45
+ 7y
44
+ ··· − 13y −1
c
12
y
45
− 7y
44
+ ··· + y −1
27
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.964090 + 0.242803I
a = −0.282390 − 1.221290I
b = 0.125420 + 1.260860I
3.59003 − 2.31975I − 60.10 + 1.041186I
u = 0.964090 − 0.242803I
a = −0.282390 + 1.221290I
b = 0.125420 − 1.260860I
3.59003 + 2.31975I − 60.10 − 1.041186I
u = −0.959146 + 0.242534I
a = 0.79059 − 1.20853I
b = −0.216428 + 1.271450I
4.58620 − 2.19985I 3.66329 + 1.69112I
u = −0.959146 − 0.242534I
a = 0.79059 + 1.20853I
b = −0.216428 − 1.271450I
4.58620 + 2.19985I 3.66329 − 1.69112I
u = −0.957637 + 0.243502I
a = 0.97640 − 1.78302I
b = −0.243427 + 1.258260I
4.58120 + 0.23791I 4.57362 + 3.33921I
u = −0.957637 − 0.243502I
a = 0.97640 + 1.78302I
b = −0.243427 − 1.258260I
4.58120 − 0.23791I 4.57362 − 3.33921I
u = 0.949906 + 0.244837I
a = −0.70966 − 1.97587I
b = 0.359179 + 1.255660I
3.54465 + 4.28953I −3.05990 − 6.63060I
u = 0.949906 − 0.244837I
a = −0.70966 + 1.97587I
b = 0.359179 − 1.255660I
3.54465 − 4.28953I −3.05990 + 6.63060I
u = 0.858689 + 0.364218I
a = 0.37469 − 2.52586I
b = −0.691733 + 0.542090I
−2.97736 + 3.87281I −8.56679 − 6.81581I
u = 0.858689 − 0.364218I
a = 0.37469 + 2.52586I
b = −0.691733 − 0.542090I
−2.97736 − 3.87281I −8.56679 + 6.81581I
28
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.806122 + 0.740689I
a = 0.035583 − 0.558260I
b = 0.896200 + 0.350471I
−2.61437 + 0.39302I −12.77020 + 0.I
u = 0.806122 − 0.740689I
a = 0.035583 + 0.558260I
b = 0.896200 − 0.350471I
−2.61437 − 0.39302I −12.77020 + 0.I
u = −1.007360 + 0.675789I
a = −0.07622 − 1.46566I
b = 1.037820 + 0.458785I
−3.09532 − 3.77074I 0
u = −1.007360 − 0.675789I
a = −0.07622 + 1.46566I
b = 1.037820 − 0.458785I
−3.09532 + 3.77074I 0
u = 1.097890 + 0.583150I
a = −0.55311 − 1.32514I
b = −1.097110 + 0.535934I
1.61900 + 7.74785I 0
u = 1.097890 − 0.583150I
a = −0.55311 + 1.32514I
b = −1.097110 − 0.535934I
1.61900 − 7.74785I 0
u = 0.702954 + 0.220152I
a = −0.98333 − 4.17715I
b = −0.605929 + 0.254052I
1.03267 + 8.07498I −4.5283 − 14.8644I
u = 0.702954 − 0.220152I
a = −0.98333 + 4.17715I
b = −0.605929 − 0.254052I
1.03267 − 8.07498I −4.5283 + 14.8644I
u = 1.183690 + 0.484351I
a = −0.07097 − 1.83813I
b = −1.214500 + 0.618082I
1.06853 + 5.96165I 0
u = 1.183690 − 0.484351I
a = −0.07097 + 1.83813I
b = −1.214500 − 0.618082I
1.06853 − 5.96165I 0
29
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.220269 + 1.313360I
a = −0.478877 − 0.443868I
b = −0.981482 + 0.245749I
−5.08415 + 5.15610I 0
u = 0.220269 − 1.313360I
a = −0.478877 + 0.443868I
b = −0.981482 − 0.245749I
−5.08415 − 5.15610I 0
u = −1.235450 + 0.498092I
a = −0.23231 − 1.70238I
b = 1.259850 + 0.569906I
−0.08083 − 10.35810I 0
u = −1.235450 − 0.498092I
a = −0.23231 + 1.70238I
b = 1.259850 − 0.569906I
−0.08083 + 10.35810I 0
u = −0.629391 + 0.207489I
a = 1.71578 − 3.81793I
b = 0.661688 + 0.198168I
1.61016 − 2.57258I −4.81084 + 7.97752I
u = −0.629391 − 0.207489I
a = 1.71578 + 3.81793I
b = 0.661688 − 0.198168I
1.61016 + 2.57258I −4.81084 − 7.97752I
u = −1.345380 + 0.100998I
a = 0.997625 − 0.770324I
b = −0.481044 + 0.076544I
5.05391 − 2.17658I 0
u = −1.345380 − 0.100998I
a = 0.997625 + 0.770324I
b = −0.481044 − 0.076544I
5.05391 + 2.17658I 0
u = −1.350870 + 0.241579I
a = 0.947104 + 0.059571I
b = −0.534258 + 0.163498I
4.40375 − 3.96967I 0
u = −1.350870 − 0.241579I
a = 0.947104 − 0.059571I
b = −0.534258 − 0.163498I
4.40375 + 3.96967I 0
30
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.617358 + 0.063420I
a = 0.654963 − 0.628792I
b = −1.58691 + 0.16000I
−6.69561 − 0.16039I −3.39390 − 7.52063I
u = −0.617358 − 0.063420I
a = 0.654963 + 0.628792I
b = −1.58691 − 0.16000I
−6.69561 + 0.16039I −3.39390 + 7.52063I
u = 1.378970 + 0.044639I
a = −0.526287 − 0.941899I
b = 0.496159 + 0.031157I
4.14930 + 7.09487I 0
u = 1.378970 − 0.044639I
a = −0.526287 + 0.941899I
b = 0.496159 − 0.031157I
4.14930 − 7.09487I 0
u = −0.570882 + 0.107070I
a = −0.424254 + 1.302530I
b = −1.45458 + 0.20173I
−3.34994 + 7.50143I −2.66711 − 12.05748I
u = −0.570882 − 0.107070I
a = −0.424254 − 1.302530I
b = −1.45458 − 0.20173I
−3.34994 − 7.50143I −2.66711 + 12.05748I
u = −0.63633 + 1.34818I
a = −0.181093 − 0.243156I
b = −0.925507 + 0.236497I
−4.86929 − 3.18143I 0
u = −0.63633 − 1.34818I
a = −0.181093 + 0.243156I
b = −0.925507 − 0.236497I
−4.86929 + 3.18143I 0
u = 0.458593 + 0.169938I
a = 0.40116 + 1.70926I
b = 1.271790 + 0.188973I
−1.77503 − 2.48008I −3.28876 + 5.08121I
u = 0.458593 − 0.169938I
a = 0.40116 − 1.70926I
b = 1.271790 − 0.188973I
−1.77503 + 2.48008I −3.28876 − 5.08121I
31
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.250198 + 0.312579I
a = 1.48588 + 1.84248I
b = 1.086840 + 0.181478I
−1.85665 − 2.39705I −3.88504 + 4.19191I
u = 0.250198 − 0.312579I
a = 1.48588 − 1.84248I
b = 1.086840 − 0.181478I
−1.85665 + 2.39705I −3.88504 − 4.19191I
u = −0.44349 + 1.66479I
a = 0.250840 − 0.021781I
b = 1.004950 + 0.227398I
−0.185308 − 0.732082I 0
u = −0.44349 − 1.66479I
a = 0.250840 + 0.021781I
b = 1.004950 − 0.227398I
−0.185308 + 0.732082I 0
u = 1.76384
a = −0.224208
b = 0.666001
1.26869 0
32
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
45
− 18u
44
+ ··· + 16u − 1)(u
180
+ 71u
179
+ ··· + 772300u + 22801)
c
2
(u
45
− 9u
43
+ ··· − 2u + 1)(u
180
+ u
179
+ ··· − 180u − 151)
c
3
(u
45
− u
44
+ ··· + 13u + 1)(u
180
+ 2u
179
+ ··· − 45u + 1)
c
4
(u
45
+ 2u
44
+ ··· + 260u − 25)
· (u
180
− u
179
+ ··· + 565923008u − 391286809)
c
5
(u
45
+ 3u
44
+ ··· − 3u − 1)(u
180
+ 2u
179
+ ··· + 731401u + 82807)
c
6
(u
45
− 11u
43
+ ··· + 2u − 1)(u
180
+ u
179
+ ··· − 758u − 1021)
c
7
(u
45
− 9u
43
+ ··· − 2u − 1)(u
180
+ u
179
+ ··· − 180u − 151)
c
8
(u
45
− 3u
44
+ ··· − 3u + 1)(u
180
+ 2u
179
+ ··· + 731401u + 82807)
c
9
(u
45
+ 6u
44
+ ··· + 25u − 1)(u
180
− 5u
179
+ ··· − 3167561u − 887597)
c
10
(u
45
− 3u
44
+ ··· − 5u + 1)(u
180
− 14u
179
+ ··· − 360019u + 18833)
c
11
(u
45
− 11u
43
+ ··· + 2u + 1)(u
180
+ u
179
+ ··· − 758u − 1021)
c
12
(u
45
+ u
44
+ ··· + 5u − 1)(u
180
+ 12u
179
+ ··· + 305u + 25)
33
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
45
+ 10y
44
+ ··· − 68y −1)
· (y
180
+ 69y
179
+ ··· + 393405409088y + 519885601)
c
2
, c
7
(y
45
− 18y
44
+ ··· + 16y −1)(y
180
− 71y
179
+ ··· − 772300y + 22801)
c
3
(y
45
+ 23y
44
+ ··· − 195y −1)(y
180
+ 26y
179
+ ··· − 13y + 1)
c
4
(y
45
+ 12y
44
+ ··· + 31200y −625)
· (y
180
− 17y
179
+ ··· − 768200127417898812y + 153105366897402481)
c
5
, c
8
(y
45
− 21y
44
+ ··· + 41y −1)
· (y
180
− 90y
179
+ ··· − 186489273469y + 6856999249)
c
6
, c
11
(y
45
− 22y
44
+ ··· + 34y −1)
· (y
180
− 95y
179
+ ··· − 38394446y + 1042441)
c
9
(y
45
+ 10y
44
+ ··· + 1005y −1)
· (y
180
+ y
179
+ ··· − 19198314861057y + 787828434409)
c
10
(y
45
+ 7y
44
+ ··· − 13y −1)
· (y
180
+ 30y
179
+ ··· + 35805184153y + 354681889)
c
12
(y
45
− 7y
44
+ ··· + y −1)(y
180
+ 156y
178
+ ··· + 35575y + 625)
34
