12n
0492
(K12n
0492
)
A knot diagram
1
Linearized knot diagam
3 6 8 10 2 9 12 5 7 4 7 8
Solving Sequence
2,5
6
3,9
7 10 1 4 8 12 11
c
5
c
2
c
6
c
9
c
1
c
4
c
8
c
12
c
11
c
3
, c
7
, c
10
Ideals for irreducible components
2
of X
par
I
u
1
= h4.46973 × 10
50
u
60
+ 8.99199 × 10
50
u
59
+ ··· + 8.26421 × 10
50
b − 5.17817 × 10
50
,
3.56747 × 10
51
u
60
+ 4.54307 × 10
51
u
59
+ ··· + 1.57020 × 10
52
a − 1.57657 × 10
52
, u
61
+ 2u
60
+ ··· + 17u + 19i
I
u
2
= hu
15
+ u
14
− 2u
13
− 2u
12
+ 6u
11
+ 6u
10
− 8u
9
− 6u
8
+ 11u
7
+ 9u
6
− 9u
5
− 5u
4
+ 6u
3
+ 3u
2
+ b − 2u − 1,
u
14
+ 2u
13
− u
12
− 3u
11
+ 4u
10
+ 8u
9
− 3u
8
− 5u
7
+ 7u
6
+ 5u
5
− 3u
4
+ 3u
2
+ a − u, u
17
+ u
16
+ ··· + u + 1i
* 2 irreducible components of dim
C
= 0, with total 78 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
=
h4.47×10
50
u
60
+8.99×10
50
u
59
+· · ·+8.26×10
50
b−5.18×10
50
, 3.57×10
51
u
60
+
4.54 × 10
51
u
59
+ · · · + 1.57 × 10
52
a − 1.58 × 10
52
, u
61
+ 2u
60
+ · · · + 17u + 19i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
3
+ u
a
9
=
−0.227198u
60
− 0.289331u
59
+ ··· − 26.0080u + 1.00406
−0.540853u
60
− 1.08806u
59
+ ··· + 4.86169u + 0.626578
a
7
=
0.253819u
60
+ 0.465067u
59
+ ··· − 3.89004u + 7.64807
0.300175u
60
+ 0.771180u
59
+ ··· − 12.1668u − 2.42640
a
10
=
0.676302u
60
+ 0.841602u
59
+ ··· + 3.47497u + 9.49090
0.207184u
60
+ 0.269966u
59
+ ··· − 4.37631u − 0.968624
a
1
=
u
3
u
5
− u
3
+ u
a
4
=
−0.274794u
60
− 0.333191u
59
+ ··· − 3.80176u − 15.2300
−0.503752u
60
− 0.859618u
59
+ ··· + 9.74194u − 3.86368
a
8
=
0.313655u
60
+ 0.798733u
59
+ ··· − 30.8697u + 0.377479
−0.540853u
60
− 1.08806u
59
+ ··· + 4.86169u + 0.626578
a
12
=
−0.459255u
60
− 0.619696u
59
+ ··· + 4.13848u − 10.2887
0.255017u
60
+ 0.385918u
59
+ ··· − 11.3938u − 6.86607
a
11
=
−1.18571u
60
− 1.47546u
59
+ ··· − 4.66063u − 37.2565
−0.0486439u
60
− 0.362172u
59
+ ··· + 2.29122u − 3.22234
(ii) Obstruction class = −1
(iii) Cusp Shapes = −0.599933u
60
− 0.940036u
59
+ ··· − 28.5387u + 5.37229
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
61
+ 18u
60
+ ··· + 5229u + 361
c
2
, c
5
u
61
+ 2u
60
+ ··· + 17u + 19
c
3
u
61
+ 2u
60
+ ··· + 82113u + 15047
c
4
, c
10
u
61
+ 3u
60
+ ··· + 21u + 1
c
6
, c
9
u
61
− 28u
59
+ ··· − 4u + 1
c
7
, c
11
, c
12
u
61
+ u
60
+ ··· + 15u − 1
c
8
u
61
− u
60
+ ··· + 5u − 11
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
61
+ 58y
60
+ ··· − 1648747y −130321
c
2
, c
5
y
61
− 18y
60
+ ··· + 5229y −361
c
3
y
61
− 72y
60
+ ··· + 15660841481y −226412209
c
4
, c
10
y
61
+ 17y
60
+ ··· + 63y −1
c
6
, c
9
y
61
− 56y
60
+ ··· + 94y −1
c
7
, c
11
, c
12
y
61
− 15y
60
+ ··· + 31y −1
c
8
y
61
+ y
60
+ ··· + 7945y −121
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.008560 + 0.099272I
a = −0.30905 − 1.85898I
b = 0.359420 − 0.718984I
−3.62853 − 2.81695I −7.75571 + 7.59659I
u = 1.008560 − 0.099272I
a = −0.30905 + 1.85898I
b = 0.359420 + 0.718984I
−3.62853 + 2.81695I −7.75571 − 7.59659I
u = 0.059768 + 1.029870I
a = 0.357240 + 0.027030I
b = 0.775249 + 0.356076I
3.37069 + 4.37380I 4.08170 − 9.15688I
u = 0.059768 − 1.029870I
a = 0.357240 − 0.027030I
b = 0.775249 − 0.356076I
3.37069 − 4.37380I 4.08170 + 9.15688I
u = −0.711308 + 0.756370I
a = 0.898738 + 0.163809I
b = −0.502080 + 0.422908I
2.16071 − 2.54963I −1.92850 + 5.48932I
u = −0.711308 − 0.756370I
a = 0.898738 − 0.163809I
b = −0.502080 − 0.422908I
2.16071 + 2.54963I −1.92850 − 5.48932I
u = −0.802317 + 0.516125I
a = −1.53275 + 0.59230I
b = 0.14998 + 1.42541I
−6.39239 + 2.05870I −6.76486 − 3.26008I
u = −0.802317 − 0.516125I
a = −1.53275 − 0.59230I
b = 0.14998 − 1.42541I
−6.39239 − 2.05870I −6.76486 + 3.26008I
u = 0.681279 + 0.639801I
a = 0.355489 − 0.164381I
b = −1.136570 − 0.305208I
2.72340 + 1.00029I −0.33756 + 1.68143I
u = 0.681279 − 0.639801I
a = 0.355489 + 0.164381I
b = −1.136570 + 0.305208I
2.72340 − 1.00029I −0.33756 − 1.68143I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.855118 + 0.666348I
a = 0.79912 − 1.53720I
b = 0.044913 − 1.261780I
−1.78842 + 2.57888I 3.59230 − 3.67922I
u = −0.855118 − 0.666348I
a = 0.79912 + 1.53720I
b = 0.044913 + 1.261780I
−1.78842 − 2.57888I 3.59230 + 3.67922I
u = −0.830799 + 0.768291I
a = 0.040905 − 0.410536I
b = 0.438873 − 0.240508I
−0.20731 + 2.69693I −1.60164 − 3.85142I
u = −0.830799 − 0.768291I
a = 0.040905 + 0.410536I
b = 0.438873 + 0.240508I
−0.20731 − 2.69693I −1.60164 + 3.85142I
u = −1.132350 + 0.015313I
a = 0.529981 − 0.317231I
b = 0.499234 − 0.170729I
−2.57618 + 0.03241I −6.83473 + 2.23858I
u = −1.132350 − 0.015313I
a = 0.529981 + 0.317231I
b = 0.499234 + 0.170729I
−2.57618 − 0.03241I −6.83473 − 2.23858I
u = 0.797110 + 0.332880I
a = 0.93154 − 2.92490I
b = 0.573126 − 0.489509I
1.86824 − 4.30118I −1.43694 + 7.83913I
u = 0.797110 − 0.332880I
a = 0.93154 + 2.92490I
b = 0.573126 + 0.489509I
1.86824 + 4.30118I −1.43694 − 7.83913I
u = −1.005330 + 0.593094I
a = 0.285708 − 1.177370I
b = −0.222145 − 0.767554I
−0.86882 + 2.72261I −4.26405 + 0.I
u = −1.005330 − 0.593094I
a = 0.285708 + 1.177370I
b = −0.222145 + 0.767554I
−0.86882 − 2.72261I −4.26405 + 0.I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.778504 + 0.873488I
a = 0.212728 + 0.508358I
b = −0.949362 + 0.147769I
4.30301 − 0.06144I 4.49581 + 0.I
u = 0.778504 − 0.873488I
a = 0.212728 − 0.508358I
b = −0.949362 − 0.147769I
4.30301 + 0.06144I 4.49581 + 0.I
u = −0.760268 + 0.241047I
a = −0.398024 + 1.076770I
b = −1.232000 + 0.398283I
1.36337 + 3.68980I −4.58791 − 6.16767I
u = −0.760268 − 0.241047I
a = −0.398024 − 1.076770I
b = −1.232000 − 0.398283I
1.36337 − 3.68980I −4.58791 + 6.16767I
u = 0.876318 + 0.829854I
a = −0.77583 − 1.74978I
b = 1.21040 − 1.31023I
7.73388 + 0.14159I 0
u = 0.876318 − 0.829854I
a = −0.77583 + 1.74978I
b = 1.21040 + 1.31023I
7.73388 − 0.14159I 0
u = 1.001920 + 0.674098I
a = −0.35058 − 1.68445I
b = 1.048960 − 0.498864I
1.72001 − 6.24237I 0
u = 1.001920 − 0.674098I
a = −0.35058 + 1.68445I
b = 1.048960 + 0.498864I
1.72001 + 6.24237I 0
u = −0.859996 + 0.852993I
a = −0.505439 + 0.295038I
b = −1.21247 + 1.10581I
9.10418 − 0.98120I 0
u = −0.859996 − 0.852993I
a = −0.505439 − 0.295038I
b = −1.21247 − 1.10581I
9.10418 + 0.98120I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.743198 + 0.258578I
a = 1.14961 + 2.70783I
b = −0.02378 + 1.65985I
−7.66046 − 1.07355I −0.63774 + 8.35173I
u = 0.743198 − 0.258578I
a = 1.14961 − 2.70783I
b = −0.02378 − 1.65985I
−7.66046 + 1.07355I −0.63774 − 8.35173I
u = −0.985859 + 0.708002I
a = −1.18958 + 1.16281I
b = 0.603722 + 0.517705I
1.33700 + 8.12439I 0. − 11.41912I
u = −0.985859 − 0.708002I
a = −1.18958 − 1.16281I
b = 0.603722 − 0.517705I
1.33700 − 8.12439I 0. + 11.41912I
u = −0.747298 + 0.958094I
a = 0.384523 − 0.093109I
b = 1.27040 − 1.04462I
8.45288 − 9.12237I 0
u = −0.747298 − 0.958094I
a = 0.384523 + 0.093109I
b = 1.27040 + 1.04462I
8.45288 + 9.12237I 0
u = 0.513333 + 0.577329I
a = 0.147645 − 0.303415I
b = −1.097740 − 0.294525I
2.71819 + 1.05648I 1.23406 + 1.60799I
u = 0.513333 − 0.577329I
a = 0.147645 + 0.303415I
b = −1.097740 + 0.294525I
2.71819 − 1.05648I 1.23406 − 1.60799I
u = 0.920582 + 0.813292I
a = −0.834573 − 0.068760I
b = −1.38008 − 1.21627I
7.59405 − 6.27627I 0
u = 0.920582 − 0.813292I
a = −0.834573 + 0.068760I
b = −1.38008 + 1.21627I
7.59405 + 6.27627I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.188700 + 0.367540I
a = −0.51935 + 1.50281I
b = −0.734725 + 0.839423I
−0.58425 − 9.12112I 0
u = 1.188700 − 0.367540I
a = −0.51935 − 1.50281I
b = −0.734725 − 0.839423I
−0.58425 + 9.12112I 0
u = −0.943245 + 0.820348I
a = −0.77128 + 1.86248I
b = 1.05879 + 1.19926I
8.84141 + 7.20713I 0
u = −0.943245 − 0.820348I
a = −0.77128 − 1.86248I
b = 1.05879 − 1.19926I
8.84141 − 7.20713I 0
u = 0.816581 + 0.959000I
a = 0.543543 + 0.025883I
b = 1.20038 + 0.96984I
9.60140 + 1.01873I 0
u = 0.816581 − 0.959000I
a = 0.543543 − 0.025883I
b = 1.20038 − 0.96984I
9.60140 − 1.01873I 0
u = 0.729689 + 0.092257I
a = −2.17992 − 1.30658I
b = 0.296181 − 0.865356I
−4.76315 − 0.37609I −6.92192 − 3.20821I
u = 0.729689 − 0.092257I
a = −2.17992 + 1.30658I
b = 0.296181 + 0.865356I
−4.76315 + 0.37609I −6.92192 + 3.20821I
u = −0.958783 + 0.851896I
a = 0.574031 − 0.735538I
b = −0.272425 − 0.985135I
−0.94086 + 3.29997I 0
u = −0.958783 − 0.851896I
a = 0.574031 + 0.735538I
b = −0.272425 + 0.985135I
−0.94086 − 3.29997I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.008090 + 0.801211I
a = 0.049974 − 0.714510I
b = 1.004090 − 0.082477I
3.59655 − 6.16597I 0
u = 1.008090 − 0.801211I
a = 0.049974 + 0.714510I
b = 1.004090 + 0.082477I
3.59655 + 6.16597I 0
u = −0.634593 + 0.305711I
a = 1.70511 + 2.78485I
b = 0.475869 + 0.583891I
1.76589 − 1.46394I −2.18428 − 1.39749I
u = −0.634593 − 0.305711I
a = 1.70511 − 2.78485I
b = 0.475869 − 0.583891I
1.76589 + 1.46394I −2.18428 + 1.39749I
u = −1.32936
a = −0.425742
b = −0.130836
−2.35229 0
u = 1.022890 + 0.850141I
a = 0.46632 + 1.56053I
b = −1.17031 + 1.15196I
8.93314 − 7.65090I 0
u = 1.022890 − 0.850141I
a = 0.46632 − 1.56053I
b = −1.17031 − 1.15196I
8.93314 + 7.65090I 0
u = −1.054050 + 0.811352I
a = 0.55964 − 1.79633I
b = −1.23639 − 1.18766I
7.4752 + 15.6144I 0
u = −1.054050 − 0.811352I
a = 0.55964 + 1.79633I
b = −1.23639 + 1.18766I
7.4752 − 15.6144I 0
u = −0.200523 + 0.477929I
a = 0.745281 − 0.474801I
b = −0.274077 − 0.499104I
0.075701 + 1.180500I 0.98721 − 5.73205I
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.200523 − 0.477929I
a = 0.745281 + 0.474801I
b = −0.274077 + 0.499104I
0.075701 − 1.180500I 0.98721 + 5.73205I
11
II.
I
u
2
= hu
15
+ u
14
+ · · · + b − 1, u
14
+ 2u
13
+ · · · + a − u, u
17
+ u
16
+ · · · + u + 1i
(i) Arc colorings
a
2
=
0
u
a
5
=
1
0
a
6
=
1
u
2
a
3
=
−u
−u
3
+ u
a
9
=
−u
14
− 2u
13
+ ··· − 3u
2
+ u
−u
15
− u
14
+ ··· + 2u + 1
a
7
=
2u
16
+ u
15
+ ··· − 11u
2
+ 3
u
13
+ u
12
+ ··· − u
2
+ u
a
10
=
−2u
16
− 2u
15
+ ··· + u + 1
−u
16
− u
15
+ ··· − 2u
2
+ 1
a
1
=
u
3
u
5
− u
3
+ u
a
4
=
u
16
+ 3u
15
+ ··· − 6u − 2
u
16
+ u
15
+ ··· − 5u
2
− 2u
a
8
=
u
15
− 4u
13
+ ··· − u − 1
−u
15
− u
14
+ ··· + 2u + 1
a
12
=
−u
16
+ u
15
+ ··· + 8u
2
− 2
2u
16
+ 2u
15
+ ··· − 3u
2
− u
a
11
=
−u
16
+ 3u
14
+ ··· − 2u
2
+ 2
u
16
+ u
15
+ ··· − 6u
2
+ 1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4u
16
+ u
15
+ 11u
14
− 10u
13
− 33u
12
+ 26u
11
+ 60u
10
− 63u
9
−
83u
8
+ 74u
7
+ 83u
6
− 77u
5
− 57u
4
+ 42u
3
+ 26u
2
− 16u − 13
12
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
17
− 7u
16
+ ··· + 7u − 1
c
2
u
17
− u
16
+ ··· + u − 1
c
3
u
17
+ u
16
+ ··· + u − 1
c
4
u
17
+ 8u
15
+ ··· + u + 1
c
5
u
17
+ u
16
+ ··· + u + 1
c
6
u
17
+ u
16
+ ··· − 2u + 3
c
7
u
17
− 4u
16
+ ··· + u − 1
c
8
u
17
+ 6u
15
+ ··· + u + 1
c
9
u
17
− u
16
+ ··· − 2u − 3
c
10
u
17
+ 8u
15
+ ··· + u − 1
c
11
, c
12
u
17
+ 4u
16
+ ··· + u + 1
13
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
17
+ 13y
16
+ ··· − 13y −1
c
2
, c
5
y
17
− 7y
16
+ ··· + 7y −1
c
3
y
17
− y
16
+ ··· + 23y −1
c
4
, c
10
y
17
+ 16y
16
+ ··· − 15y −1
c
6
, c
9
y
17
− 17y
16
+ ··· + 76y −9
c
7
, c
11
, c
12
y
17
− 16y
16
+ ··· + 9y −1
c
8
y
17
+ 12y
16
+ ··· + 3y −1
14
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.671850 + 0.699249I
a = 0.841267 − 0.388532I
b = −0.903817 − 0.063102I
3.25147 + 1.97750I 4.64322 − 3.77889I
u = 0.671850 − 0.699249I
a = 0.841267 + 0.388532I
b = −0.903817 + 0.063102I
3.25147 − 1.97750I 4.64322 + 3.77889I
u = 0.866153 + 0.652957I
a = 0.59645 + 1.79019I
b = 0.053159 + 1.090200I
−2.38366 − 2.53905I −11.16316 + 2.70355I
u = 0.866153 − 0.652957I
a = 0.59645 − 1.79019I
b = 0.053159 − 1.090200I
−2.38366 + 2.53905I −11.16316 − 2.70355I
u = −0.866800 + 0.682644I
a = 1.38670 − 1.09683I
b = 0.04620 − 1.82956I
−5.11635 + 2.63302I −0.67661 − 3.79445I
u = −0.866800 − 0.682644I
a = 1.38670 + 1.09683I
b = 0.04620 + 1.82956I
−5.11635 − 2.63302I −0.67661 + 3.79445I
u = −0.841839 + 0.249282I
a = −1.80507 + 0.60352I
b = 0.142712 + 0.798548I
−4.69017 + 1.10526I −5.39958 − 6.02313I
u = −0.841839 − 0.249282I
a = −1.80507 − 0.60352I
b = 0.142712 − 0.798548I
−4.69017 − 1.10526I −5.39958 + 6.02313I
u = 0.790910 + 0.155131I
a = −1.28257 − 2.60669I
b = 0.14748 − 1.56229I
−8.03189 − 0.67257I −11.87928 − 2.66967I
u = 0.790910 − 0.155131I
a = −1.28257 + 2.60669I
b = 0.14748 + 1.56229I
−8.03189 + 0.67257I −11.87928 + 2.66967I
15
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 1.015230 + 0.682788I
a = −0.35180 − 1.41265I
b = 0.848573 − 0.216469I
2.19989 − 7.34377I 1.56348 + 8.60649I
u = 1.015230 − 0.682788I
a = −0.35180 + 1.41265I
b = 0.848573 + 0.216469I
2.19989 + 7.34377I 1.56348 − 8.60649I
u = −1.30846
a = 0.668334
b = 0.491899
−2.10341 15.5530
u = −0.448167 + 0.451140I
a = −1.27164 + 1.39509I
b = −0.799335 + 0.224628I
2.24044 + 2.96010I 2.17241 − 2.41528I
u = −0.448167 − 0.451140I
a = −1.27164 − 1.39509I
b = −0.799335 − 0.224628I
2.24044 − 2.96010I 2.17241 + 2.41528I
u = −1.033110 + 0.897117I
a = −0.447483 + 0.628029I
b = 0.219084 + 0.822435I
−1.22245 + 3.54950I −12.5372 − 14.2971I
u = −1.033110 − 0.897117I
a = −0.447483 − 0.628029I
b = 0.219084 − 0.822435I
−1.22245 − 3.54950I −12.5372 + 14.2971I
16
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
17
− 7u
16
+ ··· + 7u − 1)(u
61
+ 18u
60
+ ··· + 5229u + 361)
c
2
(u
17
− u
16
+ ··· + u − 1)(u
61
+ 2u
60
+ ··· + 17u + 19)
c
3
(u
17
+ u
16
+ ··· + u − 1)(u
61
+ 2u
60
+ ··· + 82113u + 15047)
c
4
(u
17
+ 8u
15
+ ··· + u + 1)(u
61
+ 3u
60
+ ··· + 21u + 1)
c
5
(u
17
+ u
16
+ ··· + u + 1)(u
61
+ 2u
60
+ ··· + 17u + 19)
c
6
(u
17
+ u
16
+ ··· − 2u + 3)(u
61
− 28u
59
+ ··· − 4u + 1)
c
7
(u
17
− 4u
16
+ ··· + u − 1)(u
61
+ u
60
+ ··· + 15u − 1)
c
8
(u
17
+ 6u
15
+ ··· + u + 1)(u
61
− u
60
+ ··· + 5u − 11)
c
9
(u
17
− u
16
+ ··· − 2u − 3)(u
61
− 28u
59
+ ··· − 4u + 1)
c
10
(u
17
+ 8u
15
+ ··· + u − 1)(u
61
+ 3u
60
+ ··· + 21u + 1)
c
11
, c
12
(u
17
+ 4u
16
+ ··· + u + 1)(u
61
+ u
60
+ ··· + 15u − 1)
17
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
17
+ 13y
16
+ ··· − 13y −1)
· (y
61
+ 58y
60
+ ··· − 1648747y −130321)
c
2
, c
5
(y
17
− 7y
16
+ ··· + 7y −1)(y
61
− 18y
60
+ ··· + 5229y −361)
c
3
(y
17
− y
16
+ ··· + 23y −1)
· (y
61
− 72y
60
+ ··· + 15660841481y −226412209)
c
4
, c
10
(y
17
+ 16y
16
+ ··· − 15y −1)(y
61
+ 17y
60
+ ··· + 63y −1)
c
6
, c
9
(y
17
− 17y
16
+ ··· + 76y −9)(y
61
− 56y
60
+ ··· + 94y −1)
c
7
, c
11
, c
12
(y
17
− 16y
16
+ ··· + 9y −1)(y
61
− 15y
60
+ ··· + 31y −1)
c
8
(y
17
+ 12y
16
+ ··· + 3y −1)(y
61
+ y
60
+ ··· + 7945y −121)
18
