12n
0486
(K12n
0486
)
A knot diagram
1
Linearized knot diagam
3 6 9 11 2 11 12 1 3 1 4 8
Solving Sequence
2,3 1,10
11 9 4 5 6 7 8 12
c
1
c
10
c
9
c
3
c
4
c
5
c
6
c
8
c
12
c
2
, c
7
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h−29739878226279u
18
+ 120434793497659u
17
+ ··· + 532958163092980b − 59832203175112,
− 9362493576748u
18
+ 40768461372003u
17
+ ··· + 532958163092980a − 81214256524619,
u
19
− 5u
18
+ ··· + 12u − 16i
I
u
2
= h−u
10
+ 4u
9
− 13u
8
+ 29u
7
− 51u
6
+ 74u
5
− 84u
4
+ 78u
3
− 54u
2
+ b + 26u − 6,
− 3u
11
+ 12u
10
− 41u
9
+ 96u
8
− 179u
7
+ 277u
6
− 338u
5
+ 345u
4
− 274u
3
+ 163u
2
+ a − 67u + 13,
u
12
− 4u
11
+ 14u
10
− 33u
9
+ 63u
8
− 99u
7
+ 124u
6
− 131u
5
+ 108u
4
− 70u
3
+ 32u
2
− 9u + 1i
I
u
3
= h2u
4
a
3
− 11u
4
a
2
+ ··· + 2a − 17, 3u
4
a
2
+ 9u
4
a + ··· + 19a − 25, u
5
− u
4
+ 4u
3
− 3u
2
+ 3u − 1i
* 3 irreducible components of dim
C
= 0, with total 51 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−2.97 × 10
13
u
18
+ 1.20 × 10
14
u
17
+ · · · + 5.33 × 10
14
b − 5.98 ×
10
13
, −9.36 × 10
12
u
18
+ 4.08 × 10
13
u
17
+ · · · + 5.33 × 10
14
a − 8.12 ×
10
13
, u
19
− 5u
18
+ · · · + 12u − 16i
(i) Arc colorings
a
2
=
1
0
a
3
=
0
u
a
1
=
1
−u
2
a
10
=
0.0175670u
18
− 0.0764947u
17
+ ··· + 4.43978u + 0.152384
0.0558015u
18
− 0.225974u
17
+ ··· + 0.918202u + 0.112264
a
11
=
−0.00459523u
18
+ 0.0200061u
17
+ ··· + 3.37659u − 0.141328
0.00804171u
18
− 0.0413187u
17
+ ··· + 1.10107u + 0.341233
a
9
=
0.0175670u
18
− 0.0764947u
17
+ ··· + 4.43978u + 0.152384
0.0221623u
18
− 0.0965008u
17
+ ··· + 1.06319u + 0.293712
a
4
=
0.0168589u
18
− 0.0901711u
17
+ ··· − 2.65099u + 0.926294
0.0247508u
18
− 0.110253u
17
+ ··· − 0.106730u + 0.303577
a
5
=
0.00896711u
18
− 0.0700889u
17
+ ··· − 4.19525u + 1.54901
0.0662912u
18
− 0.290418u
17
+ ··· − 1.31972u + 0.917186
a
6
=
−0.0573241u
18
+ 0.220329u
17
+ ··· − 2.87554u + 0.631826
0.0662912u
18
− 0.290418u
17
+ ··· − 1.31972u + 0.917186
a
7
=
−0.0618479u
18
+ 0.231160u
17
+ ··· − 1.58362u + 0.249407
0.0729756u
18
− 0.306781u
17
+ ··· − 0.884238u + 0.609177
a
8
=
0.0290440u
18
− 0.109467u
17
+ ··· + 3.23161u − 0.322776
−0.0303669u
18
+ 0.123682u
17
+ ··· + 1.17250u − 0.0968854
a
12
=
−0.0146657u
18
+ 0.0593565u
17
+ ··· + 1.94146u + 0.302400
0.0190316u
18
− 0.0849051u
17
+ ··· + 0.645986u + 0.311849
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −
51647443263187
133239540773245
u
18
+
248046807631858
133239540773245
u
17
+ ··· −
45855187936601
7837620045485
u −
9980369352966
26647908154649
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
19
+ 5u
18
+ ··· + 12u + 16
c
2
, c
5
u
19
+ 5u
18
+ ··· + 6u + 4
c
3
, c
4
, c
9
c
11
u
19
− 4u
17
+ ··· + u − 1
c
6
, c
10
u
19
− 2u
18
+ ··· + 17u + 1
c
7
, c
8
, c
12
u
19
+ 9u
18
+ ··· + 96u + 32
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
19
+ 19y
18
+ ··· − 2960y −256
c
2
, c
5
y
19
− 5y
18
+ ··· + 12y −16
c
3
, c
4
, c
9
c
11
y
19
− 8y
18
+ ··· + 3y −1
c
6
, c
10
y
19
+ 48y
18
+ ··· + 103y −1
c
7
, c
8
, c
12
y
19
− 19y
18
+ ··· + 1536y −1024
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.722196 + 0.657529I
a = 0.102214 − 0.799363I
b = −1.17960 − 0.94405I
−0.82235 − 3.78512I 1.21860 + 9.00060I
u = 0.722196 − 0.657529I
a = 0.102214 + 0.799363I
b = −1.17960 + 0.94405I
−0.82235 + 3.78512I 1.21860 − 9.00060I
u = −0.746643 + 0.730089I
a = −0.462703 − 1.042820I
b = 0.810875 − 1.125140I
7.60259 + 2.70738I 8.67277 − 2.95502I
u = −0.746643 − 0.730089I
a = −0.462703 + 1.042820I
b = 0.810875 + 1.125140I
7.60259 − 2.70738I 8.67277 + 2.95502I
u = 0.693820 + 0.494332I
a = 0.456624 + 0.344671I
b = −0.060397 − 0.381407I
−1.48005 − 1.04351I −2.45665 + 0.14135I
u = 0.693820 − 0.494332I
a = 0.456624 − 0.344671I
b = −0.060397 + 0.381407I
−1.48005 + 1.04351I −2.45665 − 0.14135I
u = −0.04060 + 1.46804I
a = −0.307074 + 0.628614I
b = −0.45900 + 3.71191I
6.95938 + 1.17078I 6.09940 − 4.23132I
u = −0.04060 − 1.46804I
a = −0.307074 − 0.628614I
b = −0.45900 − 3.71191I
6.95938 − 1.17078I 6.09940 + 4.23132I
u = 0.89865 + 1.22513I
a = 0.029251 + 0.797483I
b = 2.06454 + 1.29373I
5.18478 − 8.09242I 3.53036 + 7.90230I
u = 0.89865 − 1.22513I
a = 0.029251 − 0.797483I
b = 2.06454 − 1.29373I
5.18478 + 8.09242I 3.53036 − 7.90230I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.24994 + 1.58443I
a = −0.240884 − 0.605481I
b = −1.19770 − 3.77858I
6.58876 − 7.45308I 5.69466 + 9.39888I
u = 0.24994 − 1.58443I
a = −0.240884 + 0.605481I
b = −1.19770 + 3.77858I
6.58876 + 7.45308I 5.69466 − 9.39888I
u = 1.63895
a = −0.425083
b = 1.00806
1.14876 15.5300
u = −0.158529 + 0.292224I
a = 0.28403 + 1.88623I
b = 0.221614 + 0.650228I
1.090730 + 0.511038I 7.83780 − 2.24263I
u = −0.158529 − 0.292224I
a = 0.28403 − 1.88623I
b = 0.221614 − 0.650228I
1.090730 − 0.511038I 7.83780 + 2.24263I
u = −0.20388 + 1.65874I
a = 0.557769 − 0.904546I
b = 2.54312 − 4.44242I
15.7917 + 6.1961I 6.23161 − 1.95293I
u = −0.20388 − 1.65874I
a = 0.557769 + 0.904546I
b = 2.54312 + 4.44242I
15.7917 − 6.1961I 6.23161 + 1.95293I
u = 0.26558 + 1.78867I
a = 0.543309 + 0.825825I
b = 3.25252 + 4.45796I
15.2603 − 12.9682I 5.40622 + 6.37379I
u = 0.26558 − 1.78867I
a = 0.543309 − 0.825825I
b = 3.25252 − 4.45796I
15.2603 + 12.9682I 5.40622 − 6.37379I
6
II. I
u
2
=
h−u
10
+4u
9
+· · ·+b−6, −3u
11
+12u
10
+· · ·+a+13, u
12
−4u
11
+· · ·−9u+1i
(i) Arc colorings
a
2
=
1
0
a
3
=
0
u
a
1
=
1
−u
2
a
10
=
3u
11
− 12u
10
+ ··· + 67u − 13
u
10
− 4u
9
+ ··· − 26u + 6
a
11
=
4u
11
− 16u
10
+ ··· + 96u − 19
u
10
− 4u
9
+ ··· − 25u + 6
a
9
=
3u
11
− 12u
10
+ ··· + 67u − 13
−u
11
+ 4u
10
+ ··· − 29u + 6
a
4
=
−5u
11
+ 18u
10
+ ··· − 78u + 13
2u
11
− 7u
10
+ ··· + 27u − 5
a
5
=
2u
11
− 7u
10
+ ··· + 26u − 5
−u
11
+ 4u
10
+ ··· − 19u + 3
a
6
=
3u
11
− 11u
10
+ ··· + 45u − 8
−u
11
+ 4u
10
+ ··· − 19u + 3
a
7
=
−5u
11
+ 18u
10
+ ··· − 94u + 21
3u
11
− 11u
10
+ ··· + 48u − 10
a
8
=
5u
11
− 19u
10
+ ··· + 99u − 19
−u
11
+ 5u
10
+ ··· − 36u + 7
a
12
=
4u
11
− 15u
10
+ ··· + 88u − 20
−2u
11
+ 7u
10
+ ··· − 34u + 8
(ii) Obstruction class = 1
(iii) Cusp Shapes = −13u
11
+ 47u
10
− 166u
9
+ 372u
8
− 699u
7
+ 1066u
6
− 1282u
5
+
1319u
4
− 1003u
3
+ 610u
2
− 225u + 43
7
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
12
− 4u
11
+ ··· − 9u + 1
c
2
u
12
− 2u
10
− u
9
+ 5u
8
+ u
7
− 6u
6
− 3u
5
+ 6u
4
+ 2u
3
− 4u
2
− u + 1
c
3
, c
11
u
12
+ 4u
10
− u
9
+ 3u
8
− 3u
7
− 2u
6
− u
5
+ u
4
+ u
3
+ 2u
2
− u − 1
c
4
, c
9
u
12
+ 4u
10
+ u
9
+ 3u
8
+ 3u
7
− 2u
6
+ u
5
+ u
4
− u
3
+ 2u
2
+ u − 1
c
5
u
12
− 2u
10
+ u
9
+ 5u
8
− u
7
− 6u
6
+ 3u
5
+ 6u
4
− 2u
3
− 4u
2
+ u + 1
c
6
, c
10
u
12
+ 4u
11
+ ··· + 3u + 3
c
7
, c
8
u
12
+ 4u
11
+ ··· − 3u + 1
c
12
u
12
− 4u
11
+ ··· + 3u + 1
8
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
12
+ 12y
11
+ ··· − 17y + 1
c
2
, c
5
y
12
− 4y
11
+ ··· − 9y + 1
c
3
, c
4
, c
9
c
11
y
12
+ 8y
11
+ ··· − 5y + 1
c
6
, c
10
y
12
− 6y
10
+ ··· − 57y + 9
c
7
, c
8
, c
12
y
12
− 16y
11
+ ··· + 15y + 1
9
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.357661 + 0.853277I
a = −1.006500 − 0.552011I
b = −1.98533 + 0.33152I
−3.18626 − 2.11191I −5.03654 + 3.50140I
u = 0.357661 − 0.853277I
a = −1.006500 + 0.552011I
b = −1.98533 − 0.33152I
−3.18626 + 2.11191I −5.03654 − 3.50140I
u = 1.33890
a = 0.378165
b = −0.0994654
0.752387 −5.56660
u = −0.118312 + 1.364600I
a = −0.194015 + 0.582314I
b = 0.39097 + 2.54203I
7.47820 − 0.09552I 9.05586 + 0.80110I
u = −0.118312 − 1.364600I
a = −0.194015 − 0.582314I
b = 0.39097 − 2.54203I
7.47820 + 0.09552I 9.05586 − 0.80110I
u = 0.482446 + 0.323250I
a = 1.43003 + 1.83498I
b = −0.028669 − 1.102010I
−4.70811 − 0.91881I −1.33372 + 7.78233I
u = 0.482446 − 0.323250I
a = 1.43003 − 1.83498I
b = −0.028669 + 1.102010I
−4.70811 + 0.91881I −1.33372 − 7.78233I
u = 0.13668 + 1.47421I
a = 1.038380 + 0.082127I
b = 3.16343 − 0.41871I
1.25726 − 3.06264I 4.57080 + 2.71896I
u = 0.13668 − 1.47421I
a = 1.038380 − 0.082127I
b = 3.16343 + 0.41871I
1.25726 + 3.06264I 4.57080 − 2.71896I
u = 0.35564 + 1.60476I
a = −0.157731 − 0.476658I
b = −0.53686 − 2.57354I
6.83685 − 6.10895I 7.44385 + 4.40804I
10
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.35564 − 1.60476I
a = −0.157731 + 0.476658I
b = −0.53686 + 2.57354I
6.83685 + 6.10895I 7.44385 − 4.40804I
u = 0.232856
a = −3.59850
b = 2.09237
3.63095 14.1660
11
III. I
u
3
= h2u
4
a
3
− 11u
4
a
2
+ · · · + 2a − 17, 3u
4
a
2
+ 9u
4
a + · · · + 19a −
25, u
5
− u
4
+ 4u
3
− 3u
2
+ 3u − 1i
(i) Arc colorings
a
2
=
1
0
a
3
=
0
u
a
1
=
1
−u
2
a
10
=
a
−0.0952381a
3
u
4
+ 0.523810a
2
u
4
+ ··· − 0.0952381a + 0.809524
a
11
=
0.0952381a
3
u
4
− 0.523810a
2
u
4
+ ··· + 1.09524a − 0.809524
−0.619048a
3
u
4
− 0.0952381a
2
u
4
+ ··· + 0.380952a + 1.76190
a
9
=
a
−0.0952381a
3
u
4
+ 0.523810a
2
u
4
+ ··· − 0.0952381a + 0.809524
a
4
=
a
2
u
0.476190a
3
u
4
+ 0.380952a
2
u
4
+ ··· − 0.523810a − 1.04762
a
5
=
u
3
+ 2u
−u
4
+ u
3
− 3u
2
+ 2u − 1
a
6
=
u
4
+ 3u
2
+ 1
−u
4
+ u
3
− 3u
2
+ 2u − 1
a
7
=
0.619048a
3
u
4
+ 0.0952381a
2
u
4
+ ··· + 0.619048a − 0.761905
a
2
u
2
+ 2u
2
+ 2
a
8
=
0.0952381a
3
u
4
− 0.523810a
2
u
4
+ ··· + 1.09524a − 0.809524
−0.619048a
3
u
4
− 0.0952381a
2
u
4
+ ··· + 0.380952a + 1.76190
a
12
=
5
7
u
4
a
3
−
3
7
u
4
a
2
+ ··· +
5
7
a −
4
7
−0.523810a
3
u
4
− 0.619048a
2
u
4
+ ··· + 0.476190a + 2.95238
(ii) Obstruction class = −1
(iii) Cusp Shapes = −4u
4
+ 4u
3
− 16u
2
+ 12u − 6
12
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
(u
5
+ u
4
+ 4u
3
+ 3u
2
+ 3u + 1)
4
c
2
, c
5
(u
5
− u
4
+ u
2
+ u − 1)
4
c
3
, c
4
, c
9
c
11
u
20
− u
19
+ ··· − 72u − 29
c
6
, c
10
u
20
− 3u
19
+ ··· − 2460u + 649
c
7
, c
8
, c
12
(u
2
− u − 1)
10
13
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
(y
5
+ 7y
4
+ 16y
3
+ 13y
2
+ 3y −1)
4
c
2
, c
5
(y
5
− y
4
+ 4y
3
− 3y
2
+ 3y −1)
4
c
3
, c
4
, c
9
c
11
y
20
+ 3y
19
+ ··· − 3444y + 841
c
6
, c
10
y
20
+ 15y
19
+ ··· − 2679396y + 421201
c
7
, c
8
, c
12
(y
2
− 3y + 1)
10
14
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.233677 + 0.885557I
a = −0.690882 − 0.475916I
b = −2.02011 − 0.12259I
−2.12804 − 2.21397I 4.88568 + 4.22289I
u = 0.233677 + 0.885557I
a = −0.628935 − 1.009350I
b = −0.135192 − 0.952263I
5.76765 − 2.21397I 4.88568 + 4.22289I
u = 0.233677 + 0.885557I
a = 1.308920 + 0.475916I
b = 1.68589 − 0.38898I
−2.12804 − 2.21397I 4.88568 + 4.22289I
u = 0.233677 + 0.885557I
a = −0.989099 + 1.009350I
b = 1.01021 + 2.29157I
5.76765 − 2.21397I 4.88568 + 4.22289I
u = 0.233677 − 0.885557I
a = −0.690882 + 0.475916I
b = −2.02011 + 0.12259I
−2.12804 + 2.21397I 4.88568 − 4.22289I
u = 0.233677 − 0.885557I
a = −0.628935 + 1.009350I
b = −0.135192 + 0.952263I
5.76765 + 2.21397I 4.88568 − 4.22289I
u = 0.233677 − 0.885557I
a = 1.308920 − 0.475916I
b = 1.68589 + 0.38898I
−2.12804 + 2.21397I 4.88568 − 4.22289I
u = 0.233677 − 0.885557I
a = −0.989099 − 1.009350I
b = 1.01021 − 2.29157I
5.76765 + 2.21397I 4.88568 − 4.22289I
u = 0.416284
a = 0.985681
b = 1.27641
3.06566 −3.60880
u = 0.416284
a = −2.60371
b = 2.52044
3.06566 −3.60880
15
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 0.416284
a = 0.30902 + 3.20024I
b = −0.725134 − 1.109150I
−4.83002 −3.60880
u = 0.416284
a = 0.30902 − 3.20024I
b = −0.725134 + 1.109150I
−4.83002 −3.60880
u = 0.05818 + 1.69128I
a = −0.799116 − 0.748924I
b = −3.24296 − 3.96488I
14.9061 − 3.3317I 5.91874 + 2.36228I
u = 0.05818 + 1.69128I
a = −0.818918 + 0.748924I
b = −2.76655 + 4.60174I
14.9061 − 3.3317I 5.91874 + 2.36228I
u = 0.05818 + 1.69128I
a = 0.342215 + 0.584767I
b = 1.56758 + 3.20671I
7.01045 − 3.33174I 5.91874 + 2.36228I
u = 0.05818 + 1.69128I
a = 0.275819 − 0.584767I
b = 0.72785 − 3.44997I
7.01045 − 3.33174I 5.91874 + 2.36228I
u = 0.05818 − 1.69128I
a = −0.799116 + 0.748924I
b = −3.24296 + 3.96488I
14.9061 + 3.3317I 5.91874 − 2.36228I
u = 0.05818 − 1.69128I
a = −0.818918 − 0.748924I
b = −2.76655 − 4.60174I
14.9061 + 3.3317I 5.91874 − 2.36228I
u = 0.05818 − 1.69128I
a = 0.342215 − 0.584767I
b = 1.56758 − 3.20671I
7.01045 + 3.33174I 5.91874 − 2.36228I
u = 0.05818 − 1.69128I
a = 0.275819 + 0.584767I
b = 0.72785 + 3.44997I
7.01045 + 3.33174I 5.91874 − 2.36228I
16
IV. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u
5
+ u
4
+ 4u
3
+ 3u
2
+ 3u + 1)
4
)(u
12
− 4u
11
+ ··· − 9u + 1)
· (u
19
+ 5u
18
+ ··· + 12u + 16)
c
2
(u
5
− u
4
+ u
2
+ u − 1)
4
· (u
12
− 2u
10
− u
9
+ 5u
8
+ u
7
− 6u
6
− 3u
5
+ 6u
4
+ 2u
3
− 4u
2
− u + 1)
· (u
19
+ 5u
18
+ ··· + 6u + 4)
c
3
, c
11
(u
12
+ 4u
10
− u
9
+ 3u
8
− 3u
7
− 2u
6
− u
5
+ u
4
+ u
3
+ 2u
2
− u − 1)
· (u
19
− 4u
17
+ ··· + u − 1)(u
20
− u
19
+ ··· − 72u − 29)
c
4
, c
9
(u
12
+ 4u
10
+ u
9
+ 3u
8
+ 3u
7
− 2u
6
+ u
5
+ u
4
− u
3
+ 2u
2
+ u − 1)
· (u
19
− 4u
17
+ ··· + u − 1)(u
20
− u
19
+ ··· − 72u − 29)
c
5
(u
5
− u
4
+ u
2
+ u − 1)
4
· (u
12
− 2u
10
+ u
9
+ 5u
8
− u
7
− 6u
6
+ 3u
5
+ 6u
4
− 2u
3
− 4u
2
+ u + 1)
· (u
19
+ 5u
18
+ ··· + 6u + 4)
c
6
, c
10
(u
12
+ 4u
11
+ ··· + 3u + 3)(u
19
− 2u
18
+ ··· + 17u + 1)
· (u
20
− 3u
19
+ ··· − 2460u + 649)
c
7
, c
8
((u
2
− u − 1)
10
)(u
12
+ 4u
11
+ ··· − 3u + 1)(u
19
+ 9u
18
+ ··· + 96u + 32)
c
12
((u
2
− u − 1)
10
)(u
12
− 4u
11
+ ··· + 3u + 1)(u
19
+ 9u
18
+ ··· + 96u + 32)
17
V. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y
5
+ 7y
4
+ 16y
3
+ 13y
2
+ 3y −1)
4
)(y
12
+ 12y
11
+ ··· − 17y + 1)
· (y
19
+ 19y
18
+ ··· − 2960y −256)
c
2
, c
5
((y
5
− y
4
+ 4y
3
− 3y
2
+ 3y −1)
4
)(y
12
− 4y
11
+ ··· − 9y + 1)
· (y
19
− 5y
18
+ ··· + 12y −16)
c
3
, c
4
, c
9
c
11
(y
12
+ 8y
11
+ ··· − 5y + 1)(y
19
− 8y
18
+ ··· + 3y −1)
· (y
20
+ 3y
19
+ ··· − 3444y + 841)
c
6
, c
10
(y
12
− 6y
10
+ ··· − 57y + 9)(y
19
+ 48y
18
+ ··· + 103y −1)
· (y
20
+ 15y
19
+ ··· − 2679396y + 421201)
c
7
, c
8
, c
12
((y
2
− 3y + 1)
10
)(y
12
− 16y
11
+ ··· + 15y + 1)
· (y
19
− 19y
18
+ ··· + 1536y −1024)
18
