12n
0049
(K12n
0049
)
A knot diagram
1
Linearized knot diagam
3 5 6 9 2 10 12 5 7 6 8 11
Solving Sequence
2,6
5 3
1,11
10 7 9 4 8 12
c
5
c
2
c
1
c
10
c
6
c
9
c
4
c
8
c
12
c
3
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−484296105u
35
− 876453979u
34
+ ··· + 5825897536b + 2936630968,
2622553061u
35
+ 6852014457u
34
+ ··· + 11651795072a + 6583505056, u
36
+ 2u
35
+ ··· − 3u + 4i
I
u
2
= h−6a
3
u + 44a
3
− 29a
2
u + 50a
2
− 44au + 61b − 23a + 26u − 28,
2a
4
− 2a
3
u + 5a
3
− 2a
2
u + 4au − 6a + 5u − 3, u
2
− u + 1i
I
u
3
= h26u
3
a
2
+ 8a
2
u
2
− 12u
3
a + 15a
2
u − 31u
2
a − 12u
3
+ 6a
2
+ 4au + 40u
2
+ 71b − 41a + 4u + 30,
2u
3
a
2
+ 4a
2
u
2
− 2u
3
a + a
3
+ 4a
2
u − 5u
2
a − u
3
− 7au − u
2
− 5a + u + 2, u
4
+ u
3
+ u
2
+ 1i
* 3 irreducible components of dim
C
= 0, with total 56 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−4.84 × 10
8
u
35
− 8.76 × 10
8
u
34
+ · · · + 5.83 × 10
9
b + 2.94 × 10
9
, 2.62 ×
10
9
u
35
+6.85×10
9
u
34
+· · ·+1.17×10
10
a+6.58×10
9
, u
36
+2u
35
+· · ·−3u+4i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
5
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
5
+ u
3
+ u
a
11
=
−0.225077u
35
− 0.588065u
34
+ ··· − 2.43489u − 0.565021
0.0831282u
35
+ 0.150441u
34
+ ··· − 0.808963u − 0.504065
a
10
=
−0.308205u
35
− 0.738506u
34
+ ··· − 1.62593u − 0.0609557
0.0831282u
35
+ 0.150441u
34
+ ··· − 0.808963u − 0.504065
a
7
=
0.00526049u
35
+ 0.0984092u
34
+ ··· − 1.00467u + 1.90403
−0.130367u
35
− 0.265551u
34
+ ··· + 0.257479u − 0.749489
a
9
=
−0.315652u
35
− 0.320533u
34
+ ··· − 3.86030u + 1.93751
−0.213900u
35
− 0.524671u
34
+ ··· + 1.76935u − 2.11821
a
4
=
−u
3
u
3
+ u
a
8
=
−0.448719u
35
− 0.603542u
34
+ ··· − 4.28587u + 1.06239
−0.174790u
35
− 0.478417u
34
+ ··· + 2.25099u − 2.05071
a
12
=
0.0695792u
35
+ 0.105837u
34
+ ··· − 0.289164u + 0.533612
0.106950u
35
+ 0.199836u
34
+ ··· + 0.0528230u + 0.809104
(ii) Obstruction class = −1
(iii) Cusp Shapes =
1359975379
2912948768
u
35
+
808893889
1456474384
u
34
+ ··· +
371799183
2912948768
u −
4242546469
728237192
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
36
+ 10u
35
+ ··· + 255u + 16
c
2
, c
5
u
36
+ 2u
35
+ ··· − 3u + 4
c
3
u
36
− 2u
35
+ ··· + 110445u + 62564
c
4
, c
8
u
36
− 2u
35
+ ··· − 3584u + 2048
c
6
, c
9
, c
10
u
36
+ 3u
35
+ ··· + 4u + 1
c
7
, c
11
u
36
+ 3u
35
+ ··· + 2u + 1
c
12
u
36
− 23u
35
+ ··· − 6u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
36
+ 34y
35
+ ··· + 19807y + 256
c
2
, c
5
y
36
+ 10y
35
+ ··· + 255y + 16
c
3
y
36
+ 58y
35
+ ··· + 87628895247y + 3914254096
c
4
, c
8
y
36
+ 30y
35
+ ··· + 13893632y + 4194304
c
6
, c
9
, c
10
y
36
+ 27y
35
+ ··· + 6y + 1
c
7
, c
11
y
36
+ 23y
35
+ ··· + 6y + 1
c
12
y
36
− 17y
35
+ ··· + 6y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.171600 + 1.110920I
a = −0.204619 + 1.345050I
b = −0.216810 − 1.196860I
−4.27639 + 3.16772I −7.58797 − 3.35954I
u = 0.171600 − 1.110920I
a = −0.204619 − 1.345050I
b = −0.216810 + 1.196860I
−4.27639 − 3.16772I −7.58797 + 3.35954I
u = 1.085660 + 0.293972I
a = 0.392792 − 0.045820I
b = 0.334592 + 0.680226I
4.30159 + 1.64830I 7.39222 − 3.81709I
u = 1.085660 − 0.293972I
a = 0.392792 + 0.045820I
b = 0.334592 − 0.680226I
4.30159 − 1.64830I 7.39222 + 3.81709I
u = −0.312081 + 0.807793I
a = 1.53056 + 0.47632I
b = −0.04471 − 1.51818I
−7.22153 + 1.57633I −9.02842 − 6.04950I
u = −0.312081 − 0.807793I
a = 1.53056 − 0.47632I
b = −0.04471 + 1.51818I
−7.22153 − 1.57633I −9.02842 + 6.04950I
u = 0.633550 + 0.959306I
a = 1.67177 + 0.11512I
b = 0.190966 + 0.946097I
−1.10855 + 3.29892I −6.24385 − 2.89898I
u = 0.633550 − 0.959306I
a = 1.67177 − 0.11512I
b = 0.190966 − 0.946097I
−1.10855 − 3.29892I −6.24385 + 2.89898I
u = 0.923008 + 0.689836I
a = −0.417168 − 0.169238I
b = −0.346298 + 0.404592I
3.90051 + 1.86347I 6.48131 − 1.21859I
u = 0.923008 − 0.689836I
a = −0.417168 + 0.169238I
b = −0.346298 − 0.404592I
3.90051 − 1.86347I 6.48131 + 1.21859I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.874677 + 0.761101I
a = −0.370685 − 0.647821I
b = −0.59935 − 1.30228I
3.00591 + 2.79905I −0.254837 − 1.357172I
u = −0.874677 − 0.761101I
a = −0.370685 + 0.647821I
b = −0.59935 + 1.30228I
3.00591 − 2.79905I −0.254837 + 1.357172I
u = −0.433561 + 0.706966I
a = −1.95347 − 0.21519I
b = −0.16134 + 1.55299I
−6.76494 − 4.64397I −3.32082 − 3.17287I
u = −0.433561 − 0.706966I
a = −1.95347 + 0.21519I
b = −0.16134 − 1.55299I
−6.76494 + 4.64397I −3.32082 + 3.17287I
u = 0.458151 + 0.676958I
a = 0.753522 − 0.718675I
b = 0.019557 − 0.666846I
−0.198612 + 1.374800I −3.09098 − 4.69147I
u = 0.458151 − 0.676958I
a = 0.753522 + 0.718675I
b = 0.019557 + 0.666846I
−0.198612 − 1.374800I −3.09098 + 4.69147I
u = 0.471893 + 1.096490I
a = 0.224206 + 0.323614I
b = 0.422956 − 0.007097I
1.60525 + 3.66384I 4.88856 − 3.83188I
u = 0.471893 − 1.096490I
a = 0.224206 − 0.323614I
b = 0.422956 + 0.007097I
1.60525 − 3.66384I 4.88856 + 3.83188I
u = −1.024050 + 0.695309I
a = 0.535986 + 0.556491I
b = 0.567012 + 1.295000I
7.75189 + 8.17134I 1.99685 − 4.00929I
u = −1.024050 − 0.695309I
a = 0.535986 − 0.556491I
b = 0.567012 − 1.295000I
7.75189 − 8.17134I 1.99685 + 4.00929I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.961809 + 0.820602I
a = 1.181150 + 0.495596I
b = 1.059240 − 0.084079I
11.48810 + 2.42769I 4.62667 − 0.56621I
u = −0.961809 − 0.820602I
a = 1.181150 − 0.495596I
b = 1.059240 + 0.084079I
11.48810 − 2.42769I 4.62667 + 0.56621I
u = −0.785168 + 1.017390I
a = −1.76172 − 0.30795I
b = −0.54057 + 1.40007I
2.20898 − 8.97826I −1.63229 + 5.82526I
u = −0.785168 − 1.017390I
a = −1.76172 + 0.30795I
b = −0.54057 − 1.40007I
2.20898 + 8.97826I −1.63229 − 5.82526I
u = −0.854722 + 1.028010I
a = 1.038600 + 0.610663I
b = 1.088070 − 0.034474I
10.81730 − 9.09210I 3.56135 + 5.43028I
u = −0.854722 − 1.028010I
a = 1.038600 − 0.610663I
b = 1.088070 + 0.034474I
10.81730 + 9.09210I 3.56135 − 5.43028I
u = −0.810811 + 1.108300I
a = 1.71062 + 0.36230I
b = 0.53618 − 1.37404I
6.4290 − 14.8448I 0.25659 + 8.03190I
u = −0.810811 − 1.108300I
a = 1.71062 − 0.36230I
b = 0.53618 + 1.37404I
6.4290 + 14.8448I 0.25659 − 8.03190I
u = 0.310580 + 1.362320I
a = 0.544180 − 0.799588I
b = 0.307951 + 1.137470I
−1.47960 + 6.60474I −1.77461 − 8.22994I
u = 0.310580 − 1.362320I
a = 0.544180 + 0.799588I
b = 0.307951 − 1.137470I
−1.47960 − 6.60474I −1.77461 + 8.22994I
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.92557 + 1.09311I
a = −0.857998 + 0.114331I
b = −0.322915 − 0.915206I
2.65507 + 4.99154I 3.97038 − 7.84261I
u = 0.92557 − 1.09311I
a = −0.857998 − 0.114331I
b = −0.322915 + 0.915206I
2.65507 − 4.99154I 3.97038 + 7.84261I
u = −0.165244 + 0.479278I
a = −1.83465 − 0.61814I
b = −0.570372 + 0.472484I
0.02049 − 1.94674I −0.99192 + 2.87831I
u = −0.165244 − 0.479278I
a = −1.83465 + 0.61814I
b = −0.570372 − 0.472484I
0.02049 + 1.94674I −0.99192 − 2.87831I
u = 0.242112 + 0.308667I
a = 0.941920 − 0.135172I
b = −0.224155 − 0.681318I
−0.235696 + 1.266250I −2.12322 − 5.45165I
u = 0.242112 − 0.308667I
a = 0.941920 + 0.135172I
b = −0.224155 + 0.681318I
−0.235696 − 1.266250I −2.12322 + 5.45165I
8
II.
I
u
2
= h−6a
3
u − 29a
2
u + · · · − 23a − 28, −2a
3
u − 2a
2
u + · · · − 6a − 3, u
2
−u +1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
5
=
1
u − 1
a
3
=
u
u − 1
a
1
=
−1
0
a
11
=
a
0.0983607a
3
u + 0.475410a
2
u + ··· + 0.377049a + 0.459016
a
10
=
−0.0983607a
3
u − 0.475410a
2
u + ··· + 0.622951a − 0.459016
0.0983607a
3
u + 0.475410a
2
u + ··· + 0.377049a + 0.459016
a
7
=
1.18033a
3
u − 0.295082a
2
u + ··· + 0.524590a − 0.491803
−0.786885a
3
u + 0.196721a
2
u + ··· + 0.983607a + 2.32787
a
9
=
0.196721a
3
u + 0.950820a
2
u + ··· + 0.754098a + 0.918033
−1.44262a
3
u − 1.63934a
2
u + ··· − 0.196721a + 0.934426
a
4
=
1
u − 1
a
8
=
0.196721a
3
u + 0.950820a
2
u + ··· + 0.754098a + 0.918033
−1.44262a
3
u − 1.63934a
2
u + ··· − 0.196721a + 0.934426
a
12
=
0.393443a
3
u − 0.0983607a
2
u + ··· + 1.50820a − 0.163934
−0.786885a
3
u + 0.196721a
2
u + ··· + 0.983607a + 2.32787
(ii) Obstruction class = 1
(iii) Cusp Shapes =
70
61
a
3
u −
188
61
a
3
−
48
61
a
2
u −
136
61
a
2
−
56
61
au +
248
61
a −
344
61
u +
347
61
9
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
5
(u
2
− u + 1)
4
c
2
(u
2
+ u + 1)
4
c
4
, c
8
u
8
c
6
(u
4
+ u
3
+ 3u
2
+ 2u + 1)
2
c
7
(u
4
+ u
3
+ u
2
+ 1)
2
c
9
, c
10
, c
12
(u
4
− u
3
+ 3u
2
− 2u + 1)
2
c
11
(u
4
− u
3
+ u
2
+ 1)
2
10
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
3
c
5
(y
2
+ y + 1)
4
c
4
, c
8
y
8
c
6
, c
9
, c
10
c
12
(y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
2
c
7
, c
11
(y
4
+ y
3
+ 3y
2
+ 2y + 1)
2
11
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.500000 + 0.866025I
a = −0.334772 + 0.902624I
b = −0.395123 + 0.506844I
0.211005 + 0.614778I 2.28131 + 2.56093I
u = 0.500000 + 0.866025I
a = 1.118210 − 0.202000I
b = −0.10488 + 1.55249I
−6.79074 − 1.13408I 0.84181 − 3.00733I
u = 0.500000 + 0.866025I
a = −1.212650 − 0.218250I
b = −0.395123 − 0.506844I
0.21101 + 3.44499I −0.06504 − 6.27596I
u = 0.500000 + 0.866025I
a = −1.57079 + 0.38365I
b = −0.10488 − 1.55249I
−6.79074 + 5.19385I −4.18309 − 10.81465I
u = 0.500000 − 0.866025I
a = −0.334772 − 0.902624I
b = −0.395123 − 0.506844I
0.211005 − 0.614778I 2.28131 − 2.56093I
u = 0.500000 − 0.866025I
a = 1.118210 + 0.202000I
b = −0.10488 − 1.55249I
−6.79074 + 1.13408I 0.84181 + 3.00733I
u = 0.500000 − 0.866025I
a = −1.212650 + 0.218250I
b = −0.395123 + 0.506844I
0.21101 − 3.44499I −0.06504 + 6.27596I
u = 0.500000 − 0.866025I
a = −1.57079 − 0.38365I
b = −0.10488 + 1.55249I
−6.79074 − 5.19385I −4.18309 + 10.81465I
12
III.
I
u
3
= h26u
3
a
2
−12u
3
a+· · ·−41a+30, 2u
3
a
2
−2u
3
a+· · ·−5a+2, u
4
+u
3
+u
2
+1i
(i) Arc colorings
a
2
=
0
u
a
6
=
1
0
a
5
=
1
u
2
a
3
=
u
u
3
+ u
a
1
=
u
3
u
3
+ u
2
+ 1
a
11
=
a
−0.366197a
2
u
3
+ 0.169014au
3
+ ··· + 0.577465a − 0.422535
a
10
=
0.366197a
2
u
3
− 0.169014au
3
+ ··· + 0.422535a + 0.422535
−0.366197a
2
u
3
+ 0.169014au
3
+ ··· + 0.577465a − 0.422535
a
7
=
−0.267606a
2
u
3
+ 0.661972au
3
+ ··· − 1.15493a + 0.845070
0.239437a
2
u
3
+ 0.197183au
3
+ ··· + 0.507042a + 0.507042
a
9
=
u
2
+ 1
−u
3
− u
2
− 1
a
4
=
−u
3
u
3
+ u
a
8
=
1
0
a
12
=
−0.366197a
2
u
3
+ 0.169014au
3
+ ··· − 0.422535a − 0.422535
0.366197a
2
u
3
− 0.169014au
3
+ ··· − 0.577465a + 0.422535
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u
2
− 4u − 2
13
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
4
, c
8
(u
4
+ u
3
+ 3u
2
+ 2u + 1)
3
c
2
, c
5
(u
4
+ u
3
+ u
2
+ 1)
3
c
3
(u
4
− u
3
+ 5u
2
+ u + 2)
3
c
6
, c
7
, c
9
c
10
, c
11
u
12
+ 4u
10
+ ··· − 2u + 1
c
12
u
12
− 8u
11
+ ··· − 10u + 1
14
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
4
, c
8
(y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
3
c
2
, c
5
(y
4
+ y
3
+ 3y
2
+ 2y + 1)
3
c
3
(y
4
+ 9y
3
+ 31y
2
+ 19y + 4)
3
c
6
, c
7
, c
9
c
10
, c
11
y
12
+ 8y
11
+ ··· + 10y + 1
c
12
y
12
− 8y
11
+ ··· + 2y + 1
15
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.351808 + 0.720342I
a = 0.266204 − 0.424111I
b = −0.202218 − 0.425275I
−0.21101 + 1.41510I −1.82674 − 4.90874I
u = 0.351808 + 0.720342I
a = 1.61961 − 0.46490I
b = 0.169110 − 0.735861I
−0.21101 + 1.41510I −1.82674 − 4.90874I
u = 0.351808 + 0.720342I
a = −0.70433 − 3.80711I
b = 0.033108 + 1.161140I
−0.21101 + 1.41510I −1.82674 − 4.90874I
u = 0.351808 − 0.720342I
a = 0.266204 + 0.424111I
b = −0.202218 + 0.425275I
−0.21101 − 1.41510I −1.82674 + 4.90874I
u = 0.351808 − 0.720342I
a = 1.61961 + 0.46490I
b = 0.169110 + 0.735861I
−0.21101 − 1.41510I −1.82674 + 4.90874I
u = 0.351808 − 0.720342I
a = −0.70433 + 3.80711I
b = 0.033108 − 1.161140I
−0.21101 − 1.41510I −1.82674 + 4.90874I
u = −0.851808 + 0.911292I
a = −1.140580 − 0.606578I
b = −1.096690 + 0.070743I
6.79074 − 3.16396I 1.82674 + 2.56480I
u = −0.851808 + 0.911292I
a = 0.220330 + 0.512696I
b = 0.59056 + 1.34306I
6.79074 − 3.16396I 1.82674 + 2.56480I
u = −0.851808 + 0.911292I
a = 1.73877 + 0.20498I
b = 0.50613 − 1.41380I
6.79074 − 3.16396I 1.82674 + 2.56480I
u = −0.851808 − 0.911292I
a = −1.140580 + 0.606578I
b = −1.096690 − 0.070743I
6.79074 + 3.16396I 1.82674 − 2.56480I
16
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = −0.851808 − 0.911292I
a = 0.220330 − 0.512696I
b = 0.59056 − 1.34306I
6.79074 + 3.16396I 1.82674 − 2.56480I
u = −0.851808 − 0.911292I
a = 1.73877 − 0.20498I
b = 0.50613 + 1.41380I
6.79074 + 3.16396I 1.82674 − 2.56480I
17
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
2
− u + 1)
4
(u
4
+ u
3
+ 3u
2
+ 2u + 1)
3
· (u
36
+ 10u
35
+ ··· + 255u + 16)
c
2
((u
2
+ u + 1)
4
)(u
4
+ u
3
+ u
2
+ 1)
3
(u
36
+ 2u
35
+ ··· − 3u + 4)
c
3
(u
2
− u + 1)
4
(u
4
− u
3
+ 5u
2
+ u + 2)
3
· (u
36
− 2u
35
+ ··· + 110445u + 62564)
c
4
, c
8
u
8
(u
4
+ u
3
+ 3u
2
+ 2u + 1)
3
(u
36
− 2u
35
+ ··· − 3584u + 2048)
c
5
((u
2
− u + 1)
4
)(u
4
+ u
3
+ u
2
+ 1)
3
(u
36
+ 2u
35
+ ··· − 3u + 4)
c
6
((u
4
+ u
3
+ 3u
2
+ 2u + 1)
2
)(u
12
+ 4u
10
+ ··· − 2u + 1)
· (u
36
+ 3u
35
+ ··· + 4u + 1)
c
7
((u
4
+ u
3
+ u
2
+ 1)
2
)(u
12
+ 4u
10
+ ··· − 2u + 1)(u
36
+ 3u
35
+ ··· + 2u + 1)
c
9
, c
10
((u
4
− u
3
+ 3u
2
− 2u + 1)
2
)(u
12
+ 4u
10
+ ··· − 2u + 1)
· (u
36
+ 3u
35
+ ··· + 4u + 1)
c
11
((u
4
− u
3
+ u
2
+ 1)
2
)(u
12
+ 4u
10
+ ··· − 2u + 1)(u
36
+ 3u
35
+ ··· + 2u + 1)
c
12
((u
4
− u
3
+ 3u
2
− 2u + 1)
2
)(u
12
− 8u
11
+ ··· − 10u + 1)
· (u
36
− 23u
35
+ ··· − 6u + 1)
18
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
(y
2
+ y + 1)
4
(y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
3
· (y
36
+ 34y
35
+ ··· + 19807y + 256)
c
2
, c
5
(y
2
+ y + 1)
4
(y
4
+ y
3
+ 3y
2
+ 2y + 1)
3
· (y
36
+ 10y
35
+ ··· + 255y + 16)
c
3
(y
2
+ y + 1)
4
(y
4
+ 9y
3
+ 31y
2
+ 19y + 4)
3
· (y
36
+ 58y
35
+ ··· + 87628895247y + 3914254096)
c
4
, c
8
y
8
(y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
3
· (y
36
+ 30y
35
+ ··· + 13893632y + 4194304)
c
6
, c
9
, c
10
((y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
2
)(y
12
+ 8y
11
+ ··· + 10y + 1)
· (y
36
+ 27y
35
+ ··· + 6y + 1)
c
7
, c
11
((y
4
+ y
3
+ 3y
2
+ 2y + 1)
2
)(y
12
+ 8y
11
+ ··· + 10y + 1)
· (y
36
+ 23y
35
+ ··· + 6y + 1)
c
12
((y
4
+ 5y
3
+ 7y
2
+ 2y + 1)
2
)(y
12
− 8y
11
+ ··· + 2y + 1)
· (y
36
− 17y
35
+ ··· + 6y + 1)
19
