11a
38
(K11a
38
)
1
Arc Sequences
4 1 8 2 9 11 3 6 5 7 10
Solving Sequence
3,7
8
4,11
6 9 5 10 1 2
c
7
c
3
c
6
c
8
c
5
c
10
c
11
c
2
c
1
, c
4
, c
9
Representation Ideals
I =
3
\
i=1
I
u
i
\
I
v
1
I
u
1
= hu
6
3u
4
+ 2u
2
+ 1, u
4
+ 2u
2
+ a 1, u
5
2u
4
3u
3
+ 3u
2
+ b + 2ui
I
u
2
= ha
18
+ a
16
+ a
15
+ 2a
14
+ 6a
13
+ 4a
12
+ 8a
11
+ 7a
10
+ 5a
9
+ 8a
8
a
7
2a
6
4a
5
6a
4
a
3
+ a + 1,
3152a
17
+ 1931b + ··· 3464a + 3663, 5196a
17
+ 1931u + ··· + 280a 5933i
I
u
3
= hu
50
2u
49
+ ··· 80u + 64, 6.45012 × 10
51
u
49
+ 1.50399 × 10
52
u
48
+ ··· + 1.95736 × 10
54
a + 5.53276 × 10
53
,
1.04898 × 10
52
u
49
+ 3.10631 × 10
52
u
48
+ ··· + 9.78680 × 10
53
b + 1.83455 × 10
54
i
I
v
1
= h2b
4
+ 5b
3
+ 6b
2
+ 3b + 1, 4b
3
10b
2
10b + v 3, ai
There are 4 irreducible components with 78 representations.
1
The knot diagram image is adapter from “C. Livingston and A. H. Moore, KnotInfo: Table of Knot
Invariants, http://www.indiana.edu/ knotinfo”
1
I.
I
u
1
= hu
6
3u
4
+ 2u
2
+ 1, u
4
+ 2u
2
+ a 1, u
5
2u
4
3u
3
+ 3u
2
+ b + 2ui
(i) Arc colorings
a
3
=
1
0
a
7
=
0
u
a
8
=
u
u
a
4
=
u
2
+ 1
u
2
a
11
=
u
4
2u
2
+ 1
u
5
+ 2u
4
+ 3u
3
3u
2
2u
a
6
=
u
5
3u
3
+ 2u
u
5
+ u
4
3u
3
2u
2
+ 2u + 1
a
9
=
u
4
2u
2
+ u + 1
u
5
+ u
4
+ 3u
3
2u
2
u + 1
a
5
=
u
4
+ u
2
+ 1
u
4
+ u
2
+ 1
a
10
=
u
4
2u
2
+ 1
u
5
+ u
4
+ 3u
3
2u
2
2u + 1
a
1
=
0
u
4
u
2
1
a
2
=
1
u
2
a
2
=
1
u
2
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
2
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
1
1(vol +
1CS) Cusp shape
u = 1.307141 0.215080I
a = 0.122561 + 0.744862I
b = 0.83738 + 2.17456I
3.02413 + 2.82812I 3.50976 2.97945I
u = 1.307141 + 0.215080I
a = 0.122561 0.744862I
b = 0.83738 2.17456I
3.02413 2.82812I 3.50976 + 2.97945I
u = 0.569840I
a = 1.75488
b = 1.18504 + 1.75488I
1.11345 3.01951
u = 0.569840I
a = 1.75488
b = 1.18504 1.75488I
1.11345 3.01951
u = 1.307141 0.215080I
a = 0.122561 0.744862I
b = 0.65234 1.92944I
3.02413 2.82812I 3.50976 + 2.97945I
u = 1.307141 + 0.215080I
a = 0.122561 + 0.744862I
b = 0.65234 + 1.92944I
3.02413 + 2.82812I 3.50976 2.97945I
3
II. I
u
2
= ha
18
+ a
16
+ · · · + a + 1, 3152a
17
+ 1931b + · · · 3464a +
3663, 5196a
17
+ 1931u + · · · + 280a 5933i
(i) Arc colorings
a
3
=
1
0
a
7
=
0
2.69083a
17
1.89694a
16
+ ··· 0.145003a + 3.07250
a
8
=
2.69083a
17
1.89694a
16
+ ··· 0.145003a + 3.07250
2.69083a
17
1.89694a
16
+ ··· 0.145003a + 3.07250
a
4
=
5.65251a
17
4.21750a
16
+ ··· 0.915070a + 8.95753
5.65251a
17
4.21750a
16
+ ··· 0.915070a + 7.95753
a
11
=
a
1.63231a
17
+ 1.21077a
16
+ ··· + 1.79389a 1.89694
a
6
=
1.63231a
17
1.21077a
16
+ ··· 0.793889a + 1.89694
1.63231a
17
1.21077a
16
+ ··· + 0.206111a + 1.89694
a
9
=
a
1.63231a
17
+ 1.21077a
16
+ ··· + 1.79389a 1.89694
a
5
=
0
2.69083a
17
1.89694a
16
+ ··· 0.145003a + 3.07250
a
10
=
a
5.84982a
17
+ 4.28327a
16
+ ··· + 4.09891a 7.54946
a
1
=
2.69083a
17
1.89694a
16
+ ··· 0.145003a + 3.07250
5.70948a
17
+ 3.90316a
16
+ ··· + 4.25686a 8.12843
a
2
=
3.28327a
17
+ 3.42776a
16
+ ··· + 2.69964a 4.84982
8.72967a
17
+ 6.90989a
16
+ ··· + 4.37804a 13.1890
a
2
=
3.28327a
17
+ 3.42776a
16
+ ··· + 2.69964a 4.84982
8.72967a
17
+ 6.90989a
16
+ ··· + 4.37804a 13.1890
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
4
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 0.428243 0.664531I
a = 1.073281 0.181251I
b = 0.852589 + 0.729027I
1.89061 0.92430I 3.71672 + 0.79423I
u = 0.428243 + 0.664531I
a = 1.073281 + 0.181251I
b = 0.852589 0.729027I
1.89061 + 0.92430I 3.71672 0.79423I
u = 1.073950 0.558752I
a = 0.753544 0.018996I
b = 0.160109 + 0.328823I
5.69302I 5.51057I
u = 1.073950 + 0.558752I
a = 0.753544 + 0.018996I
b = 0.160109 0.328823I
5.69302I 5.51057I
u = 1.002193 + 0.295542I
a = 0.564973 1.108892I
b = 0.71778 2.09555I
1.89061 + 0.92430I 3.71672 0.79423I
u = 1.002193 0.295542I
a = 0.564973 + 1.108892I
b = 0.71778 + 2.09555I
1.89061 0.92430I 3.71672 + 0.79423I
u = 0.428243 0.664531I
a = 0.170665 0.733123I
b = 0.554650 0.963771I
1.89061 0.92430I 3.71672 + 0.79423I
u = 0.428243 + 0.664531I
a = 0.170665 + 0.733123I
b = 0.554650 + 0.963771I
1.89061 + 0.92430I 3.71672 0.79423I
u = 1.002193 0.295542I
a = 0.144447 1.072947I
b = 0.89677 1.71766I
1.89061 0.92430I 3.71672 + 0.79423I
u = 1.002193 + 0.295542I
a = 0.144447 + 1.072947I
b = 0.89677 + 1.71766I
1.89061 + 0.92430I 3.71672 0.79423I
5
Solution to I
u
2
1(vol +
1CS) Cusp shape
u = 1.073950 0.558752I
a = 0.093225 0.937930I
b = 0.74450 1.61243I
5.69302I 5.51057I
u = 1.073950 + 0.558752I
a = 0.093225 + 0.937930I
b = 0.74450 + 1.61243I
5.69302I 5.51057I
u = 1.073950 + 0.558752I
a = 0.660318 0.956927I
b = 0.56097 2.04611I
5.69302I 5.51057I
u = 1.073950 0.558752I
a = 0.660318 + 0.956927I
b = 0.56097 + 2.04611I
5.69302I 5.51057I
u = 1.002193 0.295542I
a = 0.709420 0.035945I
b = 0.221407 + 0.163524I
1.89061 0.92430I 3.71672 + 0.79423I
u = 1.002193 + 0.295542I
a = 0.709420 + 0.035945I
b = 0.221407 0.163524I
1.89061 + 0.92430I 3.71672 0.79423I
u = 0.428243 + 0.664531I
a = 1.24395 0.91437I
b = 0.03685 2.36126I
1.89061 + 0.92430I 3.71672 0.79423I
u = 0.428243 0.664531I
a = 1.24395 + 0.91437I
b = 0.03685 + 2.36126I
1.89061 0.92430I 3.71672 + 0.79423I
6
III. I
u
3
=
hu
50
2u
49
+· · ·80u+64, 6.45×10
51
u
49
+1.50×10
52
u
48
+· · ·+1.96×10
54
a+
5.53 × 10
53
, 1.05 × 10
52
u
49
+ 3.11 × 10
52
u
48
+ · · · + 9.79 ×10
53
b + 1.83 × 10
54
i
(i) Arc colorings
a
3
=
1
0
a
7
=
0
u
a
8
=
u
u
a
4
=
u
2
+ 1
u
2
a
11
=
0.00329532u
49
0.00768379u
48
+ ··· + 1.56093u 0.282664
0.0107183u
49
0.0317397u
48
+ ··· 0.252145u 1.87451
a
6
=
0.0223917u
49
0.0346078u
48
+ ··· 0.155843u 2.15660
0.0448476u
49
0.0599152u
48
+ ··· + 0.956963u 3.24017
a
9
=
0.00109794u
49
0.0200136u
48
+ ··· 1.43316u + 0.567328
0.0161193u
49
0.0266586u
48
+ ··· + 1.27631u 1.60898
a
5
=
0.0222683u
49
0.0273431u
48
+ ··· 0.572764u 2.86156
0.0344285u
49
0.0498647u
48
+ ··· + 0.170169u 2.30196
a
10
=
0.00329532u
49
0.00768379u
48
+ ··· + 1.56093u 0.282664
0.0232364u
49
0.0411724u
48
+ ··· + 0.678909u 2.78808
a
1
=
0.0121602u
49
0.0225216u
48
+ ··· + 0.742933u + 0.559595
0.0172113u
49
0.0259237u
48
+ ··· + 0.804520u 2.18684
a
2
=
0.00111578u
49
0.0103880u
48
+ ··· 0.0779663u + 0.607838
0.0409097u
49
0.0610233u
48
+ ··· + 0.575401u 3.89663
a
2
=
0.00111578u
49
0.0103880u
48
+ ··· 0.0779663u + 0.607838
0.0409097u
49
0.0610233u
48
+ ··· + 0.575401u 3.89663
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
7
(iv) Complex Volumes and Cusp Shapes
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 1.49474 0.29701I
a = 0.355287 + 0.484782I
b = 0.21795 + 2.10665I
1.85024 + 1.51739I 1.25416 + 1.73219I
u = 1.49474 + 0.29701I
a = 0.355287 0.484782I
b = 0.21795 2.10665I
1.85024 1.51739I 1.25416 1.73219I
u = 1.266715 0.096929I
a = 0.289480 0.887759I
b = 0.14053 2.29473I
6.04456 2.16278I 8.79757 + 2.89733I
u = 1.266715 + 0.096929I
a = 0.289480 + 0.887759I
b = 0.14053 + 2.29473I
6.04456 + 2.16278I 8.79757 2.89733I
u = 1.22350 0.76980I
a = 0.056439 0.950947I
b = 0.19850 2.72965I
3.6196 + 15.6826I 0.92508 9.22598I
u = 1.22350 + 0.76980I
a = 0.056439 + 0.950947I
b = 0.19850 + 2.72965I
3.6196 15.6826I 0.92508 + 9.22598I
u = 1.174389 0.484424I
a = 0.057030 + 0.970004I
b = 0.30508 + 2.46269I
4.31618 + 5.59634I 6.06047 4.87396I
u = 1.174389 + 0.484424I
a = 0.057030 0.970004I
b = 0.30508 2.46269I
4.31618 5.59634I 6.06047 + 4.87396I
u = 1.089063 0.646090I
a = 0.731164 0.121773I
b = 0.462481 + 0.214939I
3.37785 + 4.34752I 0.97473 2.40737I
u = 1.089063 + 0.646090I
a = 0.731164 + 0.121773I
b = 0.462481 0.214939I
3.37785 4.34752I 0.97473 + 2.40737I
8
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 1.083127 0.424102I
a = 0.191585 1.050901I
b = 0.48045 2.86591I
6.75514 + 5.91277I 2.21392 5.18403I
u = 1.083127 + 0.424102I
a = 0.191585 + 1.050901I
b = 0.48045 + 2.86591I
6.75514 5.91277I 2.21392 + 5.18403I
u = 0.936602 0.118293I
a = 0.600148 0.490455I
b = 0.324437 + 0.167372I
0.08204 + 3.21276I 0.42949 6.66311I
u = 0.936602 + 0.118293I
a = 0.600148 + 0.490455I
b = 0.324437 0.167372I
0.08204 3.21276I 0.42949 + 6.66311I
u = 0.595443 0.355867I
a = 1.81742 0.59127I
b = 0.346194 0.269924I
8.47083 2.48602I 1.45090 5.51453I
u = 0.595443 + 0.355867I
a = 1.81742 + 0.59127I
b = 0.346194 + 0.269924I
8.47083 + 2.48602I 1.45090 + 5.51453I
u = 0.538092 1.149575I
a = 1.006406 + 0.091155I
b = 0.803010 0.172920I
5.83333 8.80963I 2.37769 + 6.43347I
u = 0.538092 + 1.149575I
a = 1.006406 0.091155I
b = 0.803010 + 0.172920I
5.83333 + 8.80963I 2.37769 6.43347I
u = 0.473630 0.961275I
a = 0.233986 + 0.855356I
b = 0.542253 + 0.653242I
5.28661 + 1.41187I 2.51524 3.36613I
u = 0.473630 + 0.961275I
a = 0.233986 0.855356I
b = 0.542253 0.653242I
5.28661 1.41187I 2.51524 + 3.36613I
9
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 0.399787 0.467256I
a = 0.791826 0.431376I
b = 1.45430 0.11400I
1.97039 0.78230I 5.45253 2.09256I
u = 0.399787 + 0.467256I
a = 0.791826 + 0.431376I
b = 1.45430 + 0.11400I
1.97039 + 0.78230I 5.45253 + 2.09256I
u = 0.024298 0.854586I
a = 1.152350 0.352605I
b = 0.267079 0.573439I
0.969303 1.022447I 4.86262 + 1.22345I
u = 0.024298 + 0.854586I
a = 1.152350 + 0.352605I
b = 0.267079 + 0.573439I
0.969303 + 1.022447I 4.86262 1.22345I
u = 0.232434 1.128492I
a = 0.950846 + 0.347836I
b = 0.797700 + 0.037565I
4.19193 + 3.67253I 1.22751 2.31471I
u = 0.232434 + 1.128492I
a = 0.950846 0.347836I
b = 0.797700 0.037565I
4.19193 3.67253I 1.22751 + 2.31471I
u = 0.257076 0.420882I
a = 1.06691 1.18237I
b = 0.253202 0.417499I
0.426067 1.178946I 4.63590 + 6.06198I
u = 0.257076 + 0.420882I
a = 1.06691 + 1.18237I
b = 0.253202 + 0.417499I
0.426067 + 1.178946I 4.63590 6.06198I
u = 0.449533 0.975399I
a = 1.065658 0.039577I
b = 0.440217 0.399594I
0.28876 + 5.04770I 1.29595 6.45390I
u = 0.449533 + 0.975399I
a = 1.065658 + 0.039577I
b = 0.440217 + 0.399594I
0.28876 5.04770I 1.29595 + 6.45390I
10
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 0.643203 1.007065I
a = 0.056675 + 0.808134I
b = 0.432483 + 0.880437I
7.77183 + 3.25304I 5.27621 1.64998I
u = 0.643203 + 1.007065I
a = 0.056675 0.808134I
b = 0.432483 0.880437I
7.77183 3.25304I 5.27621 + 1.64998I
u = 0.697235 0.535365I
a = 0.322304 + 1.363017I
b = 0.102609 + 0.589183I
9.12170 4.13349I 4.37982 + 7.84583I
u = 0.697235 + 0.535365I
a = 0.322304 1.363017I
b = 0.102609 0.589183I
9.12170 + 4.13349I 4.37982 7.84583I
u = 0.815974 0.347535I
a = 0.064289 + 1.196117I
b = 0.27144 + 2.74570I
1.11120 2.63706I 2.56560 + 6.52941I
u = 0.815974 + 0.347535I
a = 0.064289 1.196117I
b = 0.27144 2.74570I
1.11120 + 2.63706I 2.56560 6.52941I
u = 0.907272 0.392918I
a = 0.936139 + 0.382037I
b = 0.382290 0.162655I
0.744870 0.584560I 0.202019 + 0.958990I
u = 0.907272 + 0.392918I
a = 0.936139 0.382037I
b = 0.382290 + 0.162655I
0.744870 + 0.584560I 0.202019 0.958990I
u = 0.953458 0.598229I
a = 0.868701 + 0.025258I
b = 0.954040 + 0.490857I
8.29977 0.42603I 4.99238 + 0.29759I
u = 0.953458 + 0.598229I
a = 0.868701 0.025258I
b = 0.954040 0.490857I
8.29977 + 0.42603I 4.99238 0.29759I
11
Solution to I
u
3
1(vol +
1CS) Cusp shape
u = 1.117614 0.748018I
a = 0.772686 0.192456I
b = 0.506726 0.047193I
6.21564 9.65095I 3.65977 + 5.84415I
u = 1.117614 + 0.748018I
a = 0.772686 + 0.192456I
b = 0.506726 + 0.047193I
6.21564 + 9.65095I 3.65977 5.84415I
u = 1.175850 0.667191I
a = 0.005299 + 0.940970I
b = 0.36440 + 2.42875I
1.99477 11.04249I 2.41356 + 8.76647I
u = 1.175850 + 0.667191I
a = 0.005299 0.940970I
b = 0.36440 2.42875I
1.99477 + 11.04249I 2.41356 8.76647I
u = 1.264421 0.377230I
a = 0.372673 0.797068I
b = 0.17642 2.13165I
5.10728 3.38490I 7.93360 + 3.33034I
u = 1.264421 + 0.377230I
a = 0.372673 + 0.797068I
b = 0.17642 + 2.13165I
5.10728 + 3.38490I 7.93360 3.33034I
u = 1.27251 0.63129I
a = 0.024472 0.927111I
b = 0.28887 2.72381I
0.91239 9.84583I 1.76065 + 5.97261I
u = 1.27251 + 0.63129I
a = 0.024472 + 0.927111I
b = 0.28887 + 2.72381I
0.91239 + 9.84583I 1.76065 5.97261I
u = 1.51280 0.01490I
a = 0.281665 0.631852I
b = 0.36733 2.39247I
2.35249 4.91231I 0.86750 + 6.81839I
u = 1.51280 + 0.01490I
a = 0.281665 + 0.631852I
b = 0.36733 + 2.39247I
2.35249 + 4.91231I 0.86750 6.81839I
12
IV. I
v
1
= h2b
4
+ 5b
3
+ 6b
2
+ 3b + 1, 4b
3
10b
2
10b + v 3, ai
(i) Arc colorings
a
3
=
1
0
a
7
=
4b
3
+ 10b
2
+ 10b + 3
0
a
8
=
4b
3
+ 10b
2
+ 10b + 3
0
a
4
=
1
0
a
11
=
0
b
a
6
=
4b
3
+ 10b
2
+ 10b + 3
2b
3
+ 3b
2
+ 2b
a
9
=
6b
3
+ 11b
2
+ 8b 1
2b
3
5b
2
5b 2
a
5
=
4b
3
12b
2
15b 7
1
a
10
=
4b
3
8b
2
7b
b
a
1
=
4b
3
+ 12b
2
+ 15b + 7
1
a
2
=
4b
3
+ 12b
2
+ 15b + 8
1
a
2
=
4b
3
+ 12b
2
+ 15b + 8
1
(ii) Obstruction class = 1
(iii) Cusp Shapes =unknown
13
(iv) Complex Volumes and Cusp Shapes
Solution to I
v
1
1(vol +
1CS) Cusp shape
v = 0.152300 + 0.614030I
a = 0
b = 0.971274 0.813859I
1.43393 + 1.41510I 0.38954 3.92814I
v = 0.152300 0.614030I
a = 0
b = 0.971274 + 0.813859I
1.43393 1.41510I 0.38954 + 3.92814I
v = 0.65230 2.13814I
a = 0
b = 0.278726 0.483420I
8.43568 + 3.16396I 1.51454 5.24252I
v = 0.65230 + 2.13814I
a = 0
b = 0.278726 + 0.483420I
8.43568 3.16396I 1.51454 + 5.24252I
14
V. u-Polynomials
Crossings u-Polynomials at each crossings
c
1
(u 1)
4
(u
3
+ u
2
1)
2
(u
6
+ u
5
u
4
2u
3
+ u + 1)
3
(u
50
+ 4u
49
+ ··· 3u + 4)
c
2
(u + 1)
4
(u
3
+ u
2
+ 2u + 1)
2
(u
6
+ 3u
5
+ 5u
4
+ 4u
3
+ 2u
2
+ u + 1)
3
(u
50
+ 24u
49
+ ··· 255u + 16)
c
3
, c
7
u
4
(u
6
3u
4
+ 2u
2
+ 1)(u
6
+ u
5
u
4
2u
3
+ u + 1)
3
(u
50
2u
49
+ ··· 80u + 64)
c
4
(u + 1)
4
(u
3
u
2
+ 1)
2
(u
6
+ u
5
u
4
2u
3
+ u + 1)
3
(u
50
+ 4u
49
+ ··· 3u + 4)
c
5
(u
2
+ 1)
3
(u
4
+ u
3
+ ··· + 2u + 1)(u
18
+ 6u
16
+ ··· u + 1)
(u
50
+ 2u
49
+ ··· + 76u + 17)
c
6
(u
2
+ 1)
3
(u
4
+ u
3
+ u
2
+ 1)(u
18
+ 6u
16
+ ··· u + 1)
(u
50
+ 2u
49
+ ··· + 72u + 17)
c
8
, c
9
(u
2
+ 1)
3
(u
4
u
3
+ ··· 2u + 1)(u
18
+ 6u
16
+ ··· u + 1)
(u
50
+ 2u
49
+ ··· + 76u + 17)
c
10
(u
2
+ 1)
3
(u
4
u
3
+ u
2
+ 1)(u
18
+ 6u
16
+ ··· u + 1)
(u
50
+ 2u
49
+ ··· + 72u + 17)
c
11
(u 1)
6
(u
4
u
3
+ ··· 2u + 1)(u
18
+ 12u
17
+ ··· + 3u + 1)
(u
50
+ 20u
49
+ ··· + 4370u + 289)
15
VI. Riley Polynomials
Crossings Riley Polynomials at each crossings
c
1
, c
4
(y 1)
4
(y
3
y
2
+ 2y 1)
2
(y
6
3y
5
+ 5y
4
4y
3
+ 2y
2
y + 1)
3
(y
50
24y
49
+ ··· + 255y + 16)
c
2
(y 1)
4
(y
3
+ 3y
2
+ 2y 1)
2
(y
6
+ y
5
+ 5y
4
+ 6y
2
+ 3y + 1)
3
(y
50
+ 8y
49
+ ··· + 29791y + 256)
c
3
, c
7
y
4
(y
3
3y
2
+ 2y + 1)
2
(y
6
3y
5
+ 5y
4
4y
3
+ 2y
2
y + 1)
3
(y
50
24y
49
+ ··· 19712y + 4096)
c
5
, c
8
, c
9
(y + 1)
6
(y
4
+ 5y
3
+ ··· + 2y + 1)(y
18
+ 12y
17
+ ··· + 3y + 1)
(y
50
+ 52y
49
+ ··· 846y + 289)
c
6
, c
10
(y + 1)
6
(y
4
+ y
3
+ ··· + 2y + 1)(y
18
+ 12y
17
+ ··· + 3y + 1)
(y
50
+ 20y
49
+ ··· + 4370y + 289)
c
11
(y 1)
6
(y
4
+ 5y
3
+ ··· + 2y + 1)(y
18
12y
17
+ ··· + 15y + 1)
(y
50
+ 28y
49
+ ··· 180694y + 83521)
16