12n
0578
(K12n
0578
)
A knot diagram
1
Linearized knot diagam
3 7 8 9 10 2 12 6 5 4 7 8
Solving Sequence
7,12 3,8
4 2 1 6 9 11 10 5
c
7
c
3
c
2
c
1
c
6
c
8
c
11
c
10
c
5
c
4
, c
9
, c
12
Ideals for irreducible components
2
of X
par
I
u
1
= hb − u, u
23
− u
22
+ ··· + 16a + 1, u
25
− u
24
+ ··· + 3u
2
− 1i
I
u
2
= h−36334607050217u
29
+ 39477995355924u
28
+ ··· + 2200950009156001b − 1119770521665287,
− u
29
+ u
28
+ ··· + 7a − 6, u
30
− u
29
+ ··· + 6u + 7i
I
u
3
= hb + 1, a
4
+ 4a
3
+ 9a
2
+ 10a + 7, u − 1i
I
u
4
= hb − 1, a
4
− 4a
3
+ 7a
2
− 6a + 1, u + 1i
I
u
5
= hb + 1, a + 1, u − 1i
* 5 irreducible components of dim
C
= 0, with total 64 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
= hb − u, u
23
− u
22
+ · · · + 16a + 1, u
25
− u
24
+ · · · + 3u
2
− 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
−
1
16
u
23
+
1
16
u
22
+ ··· − 2u −
1
16
u
a
8
=
1
u
2
a
4
=
−u
1
16
u
23
−
1
16
u
22
+ ··· + u +
1
16
a
2
=
−
1
16
u
23
+
1
16
u
22
+ ··· − u −
1
16
u
a
1
=
−u
−u
3
+ u
a
6
=
1
16
u
24
−
1
16
u
23
+ ··· +
1
16
u + 1
−u
2
a
9
=
9
16
u
24
−
5
8
u
23
+ ··· +
11
16
u +
15
16
−
1
16
u
24
+
1
16
u
23
+ ··· + u
2
−
1
16
u
a
11
=
u
u
a
10
=
−
1
16
u
23
+
1
16
u
22
+ ··· + u −
1
16
−0.0625000u
24
+ 0.500000u
23
+ ··· + 0.937500u + 0.562500
a
5
=
1.18750u
24
− 1.81250u
23
+ ··· + 0.812500u + 0.625000
−0.625000u
24
+ 1.43750u
23
+ ··· + 0.625000u + 1.18750
(ii) Obstruction class = −1
(iii) Cusp Shapes =
9
4
u
24
−
15
8
u
23
+ ··· + u −
19
8
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
25
+ 7u
24
+ ··· + 6u + 1
c
2
, c
6
, c
7
c
11
, c
12
u
25
− u
24
+ ··· + 3u
2
− 1
c
3
u
25
+ 3u
24
+ ··· − 688u − 178
c
4
, c
5
, c
9
u
25
− 3u
24
+ ··· − 5u
2
− 2
c
8
, c
10
u
25
+ 9u
24
+ ··· + 92u + 14
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
25
+ 33y
24
+ ··· + 2y −1
c
2
, c
6
, c
7
c
11
, c
12
y
25
− 7y
24
+ ··· + 6y −1
c
3
y
25
− 9y
24
+ ··· − 428404y −31684
c
4
, c
5
, c
9
y
25
− 21y
24
+ ··· − 20y −4
c
8
, c
10
y
25
+ 15y
24
+ ··· − 244y −196
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.785518 + 0.372640I
a = 0.62353 − 2.12777I
b = −0.785518 + 0.372640I
−2.17521 + 5.68827I −0.75349 − 8.49425I
u = −0.785518 − 0.372640I
a = 0.62353 + 2.12777I
b = −0.785518 − 0.372640I
−2.17521 − 5.68827I −0.75349 + 8.49425I
u = 0.755648 + 0.329653I
a = −0.90101 − 2.06111I
b = 0.755648 + 0.329653I
−6.02340 − 1.36429I −4.30078 + 5.12755I
u = 0.755648 − 0.329653I
a = −0.90101 + 2.06111I
b = 0.755648 − 0.329653I
−6.02340 + 1.36429I −4.30078 − 5.12755I
u = −0.845914 + 0.820525I
a = −0.231288 − 1.378290I
b = −0.845914 + 0.820525I
1.53021 + 1.97230I −1.25071 − 1.01903I
u = −0.845914 − 0.820525I
a = −0.231288 + 1.378290I
b = −0.845914 − 0.820525I
1.53021 − 1.97230I −1.25071 + 1.01903I
u = 0.265507 + 0.770529I
a = −0.071679 − 1.030960I
b = 0.265507 + 0.770529I
4.72198 − 3.16963I 6.44572 + 4.63465I
u = 0.265507 − 0.770529I
a = −0.071679 + 1.030960I
b = 0.265507 − 0.770529I
4.72198 + 3.16963I 6.44572 − 4.63465I
u = −0.730832 + 0.286998I
a = 1.17630 − 1.94700I
b = −0.730832 + 0.286998I
−2.02761 − 2.93831I 0.12922 − 1.80135I
u = −0.730832 − 0.286998I
a = 1.17630 + 1.94700I
b = −0.730832 − 0.286998I
−2.02761 + 2.93831I 0.12922 + 1.80135I
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.964582 + 0.777415I
a = 0.38162 − 1.45780I
b = 0.964582 + 0.777415I
3.01562 − 5.74190I 0.65811 + 6.60844I
u = 0.964582 − 0.777415I
a = 0.38162 + 1.45780I
b = 0.964582 − 0.777415I
3.01562 + 5.74190I 0.65811 − 6.60844I
u = 0.834411 + 0.917128I
a = 0.245471 − 1.273980I
b = 0.834411 + 0.917128I
6.70653 + 1.49728I 3.61002 − 0.12989I
u = 0.834411 − 0.917128I
a = 0.245471 + 1.273980I
b = 0.834411 − 0.917128I
6.70653 − 1.49728I 3.61002 + 0.12989I
u = 1.075630 + 0.727569I
a = 0.57040 − 1.51015I
b = 1.075630 + 0.727569I
2.19442 − 6.05278I −0.77143 + 3.74618I
u = 1.075630 − 0.727569I
a = 0.57040 + 1.51015I
b = 1.075630 − 0.727569I
2.19442 + 6.05278I −0.77143 − 3.74618I
u = −1.129150 + 0.745345I
a = −0.64410 − 1.44902I
b = −1.129150 + 0.745345I
−0.44383 + 10.34840I −3.77176 − 7.45516I
u = −1.129150 − 0.745345I
a = −0.64410 + 1.44902I
b = −1.129150 − 0.745345I
−0.44383 − 10.34840I −3.77176 + 7.45516I
u = −1.040970 + 0.866286I
a = −0.469635 − 1.328000I
b = −1.040970 + 0.866286I
9.76977 + 6.71873I 4.67666 − 4.93521I
u = −1.040970 − 0.866286I
a = −0.469635 + 1.328000I
b = −1.040970 − 0.866286I
9.76977 − 6.71873I 4.67666 + 4.93521I
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.156880 + 0.765655I
a = 0.66857 − 1.39962I
b = 1.156880 + 0.765655I
4.4401 − 14.5092I 0.55817 + 8.79115I
u = 1.156880 − 0.765655I
a = 0.66857 + 1.39962I
b = 1.156880 − 0.765655I
4.4401 + 14.5092I 0.55817 − 8.79115I
u = −0.260838 + 0.456783I
a = 0.277904 − 0.859001I
b = −0.260838 + 0.456783I
0.037229 + 0.975136I 0.76804 − 7.07893I
u = −0.260838 − 0.456783I
a = 0.277904 + 0.859001I
b = −0.260838 − 0.456783I
0.037229 − 0.975136I 0.76804 + 7.07893I
u = 0.481143
a = −1.25216
b = 0.481143
2.56662 2.00450
7
II. I
u
2
= h−3.63 × 10
13
u
29
+ 3.95 × 10
13
u
28
+ · · · + 2.20 × 10
15
b − 1.12 ×
10
15
, −u
29
+ u
28
+ · · · + 7a − 6, u
30
− u
29
+ · · · + 6u + 7i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
u
a
3
=
1
7
u
29
−
1
7
u
28
+ ··· −
76
7
u +
6
7
0.0165086u
29
− 0.0179368u
28
+ ··· − 3.56720u + 0.508767
a
8
=
1
u
2
a
4
=
0.159366u
29
− 0.160794u
28
+ ··· − 13.4243u + 1.36591
0.139320u
29
− 0.0522821u
28
+ ··· − 3.67419u + 0.518764
a
2
=
0.159366u
29
− 0.160794u
28
+ ··· − 14.4243u + 1.36591
0.0165086u
29
− 0.0179368u
28
+ ··· − 3.56720u + 0.508767
a
1
=
−u
−u
3
+ u
a
6
=
−0.0741092u
29
+ 0.213429u
28
+ ··· + 2.77558u − 4.11884
−0.00142820u
29
+ 0.124240u
28
+ ··· + 0.409715u − 1.11556
a
9
=
−0.156177u
29
+ 0.104902u
28
+ ··· + 1.37289u − 3.42762
−0.173390u
29
+ 0.0449879u
28
+ ··· + 0.143610u − 0.680215
a
11
=
u
u
a
10
=
0.0971736u
29
− 0.270564u
28
+ ··· − 12.6008u + 0.726652
−0.0512747u
29
− 0.0842981u
28
+ ··· − 2.49055u + 1.09324
a
5
=
−0.167585u
29
− 0.278986u
28
+ ··· − 14.6020u − 3.43422
−0.446571u
29
− 0.0855200u
28
+ ··· − 2.42870u + 1.17310
(ii) Obstruction class = −1
(iii) Cusp Shapes
= −
2576715548071340
2200950009156001
u
29
−
754152713873936
2200950009156001
u
28
+ ··· +
5415273681221840
2200950009156001
u +
25651780906655686
2200950009156001
8
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
u
30
+ 13u
29
+ ··· + 1100u + 49
c
2
, c
6
, c
7
c
11
, c
12
u
30
− u
29
+ ··· + 6u + 7
c
3
(u
15
− u
14
+ ··· − 2u − 1)
2
c
4
, c
5
, c
9
(u
15
+ u
14
+ ··· − 2u − 1)
2
c
8
, c
10
(u
15
− 3u
14
+ ··· + 4u
2
− 1)
2
9
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
y
30
+ 7y
29
+ ··· − 441680y + 2401
c
2
, c
6
, c
7
c
11
, c
12
y
30
− 13y
29
+ ··· − 1100y + 49
c
3
(y
15
− 17y
14
+ ··· + 8y −1)
2
c
4
, c
5
, c
9
(y
15
− 13y
14
+ ··· + 8y −1)
2
c
8
, c
10
(y
15
+ 7y
14
+ ··· + 8y −1)
2
10
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.933632 + 0.405000I
a = −0.901456 + 0.391043I
b = −1.243160 + 0.162791I
−1.99092 + 1.64925I −2.39367 − 0.16522I
u = 0.933632 − 0.405000I
a = −0.901456 − 0.391043I
b = −1.243160 − 0.162791I
−1.99092 − 1.64925I −2.39367 + 0.16522I
u = 0.666225 + 0.833796I
a = −0.584884 + 0.731996I
b = 0.815806 − 0.779519I
3.47397 + 0.15908I 1.79403 + 0.85194I
u = 0.666225 − 0.833796I
a = −0.584884 − 0.731996I
b = 0.815806 + 0.779519I
3.47397 − 0.15908I 1.79403 − 0.85194I
u = −0.786352 + 0.445678I
a = 0.962512 + 0.545520I
b = 1.273190 + 0.075844I
−5.46412 + 1.81248I −5.85619 − 4.33913I
u = −0.786352 − 0.445678I
a = 0.962512 − 0.545520I
b = 1.273190 − 0.075844I
−5.46412 − 1.81248I −5.85619 + 4.33913I
u = 1.10731
a = −0.903090
b = −0.270107
2.23561 5.03940
u = −0.582390 + 0.944453I
a = 0.473038 + 0.767119I
b = −0.944169 − 0.806161I
1.23287 − 4.11725I −1.40312 + 3.71929I
u = −0.582390 − 0.944453I
a = 0.473038 − 0.767119I
b = −0.944169 + 0.806161I
1.23287 + 4.11725I −1.40312 − 3.71929I
u = 0.815806 + 0.779519I
a = −0.640758 + 0.612257I
b = 0.666225 − 0.833796I
3.47397 − 0.15908I 1.79403 − 0.85194I
11
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = 0.815806 − 0.779519I
a = −0.640758 − 0.612257I
b = 0.666225 + 0.833796I
3.47397 + 0.15908I 1.79403 + 0.85194I
u = 0.689418 + 0.518899I
a = −0.925949 + 0.696926I
b = −1.305660 + 0.019757I
−1.10658 − 5.45324I −0.00468 + 6.35130I
u = 0.689418 − 0.518899I
a = −0.925949 − 0.696926I
b = −1.305660 − 0.019757I
−1.10658 + 5.45324I −0.00468 − 6.35130I
u = −1.13884
a = 0.878083
b = 0.734573
−2.69194 4.62820
u = 0.583255 + 1.014300I
a = −0.426049 + 0.740911I
b = 0.987724 − 0.853962I
6.22908 + 8.01682I 3.04132 − 4.89679I
u = 0.583255 − 1.014300I
a = −0.426049 − 0.740911I
b = 0.987724 + 0.853962I
6.22908 − 8.01682I 3.04132 + 4.89679I
u = −0.944169 + 0.806161I
a = 0.612560 + 0.523023I
b = −0.582390 − 0.944453I
1.23287 + 4.11725I −1.40312 − 3.71929I
u = −0.944169 − 0.806161I
a = 0.612560 − 0.523023I
b = −0.582390 + 0.944453I
1.23287 − 4.11725I −1.40312 + 3.71929I
u = −1.243160 + 0.162791I
a = 0.790842 + 0.103561I
b = 0.933632 + 0.405000I
−1.99092 + 1.64925I −2.39367 − 0.16522I
u = −1.243160 − 0.162791I
a = 0.790842 − 0.103561I
b = 0.933632 − 0.405000I
−1.99092 − 1.64925I −2.39367 + 0.16522I
12
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.803987 + 0.969115I
a = 0.507062 + 0.611206I
b = −0.803987 − 0.969115I
10.5121 5.97706 + 0.I
u = −0.803987 − 0.969115I
a = 0.507062 − 0.611206I
b = −0.803987 + 0.969115I
10.5121 5.97706 + 0.I
u = 0.734573
a = −1.36134
b = −1.13884
−2.69194 4.62820
u = 1.273190 + 0.075844I
a = −0.782653 + 0.046623I
b = −0.786352 + 0.445678I
−5.46412 + 1.81248I −5.85619 − 4.33913I
u = 1.273190 − 0.075844I
a = −0.782653 − 0.046623I
b = −0.786352 − 0.445678I
−5.46412 − 1.81248I −5.85619 + 4.33913I
u = 0.987724 + 0.853962I
a = −0.579361 + 0.500902I
b = 0.583255 − 1.014300I
6.22908 − 8.01682I 3.04132 + 4.89679I
u = 0.987724 − 0.853962I
a = −0.579361 − 0.500902I
b = 0.583255 + 1.014300I
6.22908 + 8.01682I 3.04132 − 4.89679I
u = −1.305660 + 0.019757I
a = 0.765721 + 0.011587I
b = 0.689418 + 0.518899I
−1.10658 − 5.45324I −0.00468 + 6.35130I
u = −1.305660 − 0.019757I
a = 0.765721 − 0.011587I
b = 0.689418 − 0.518899I
−1.10658 + 5.45324I −0.00468 − 6.35130I
u = −0.270107
a = 3.70223
b = 1.10731
2.23561 5.03940
13
III. I
u
3
= hb + 1, a
4
+ 4a
3
+ 9a
2
+ 10a + 7, u − 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
1
a
3
=
a
−1
a
8
=
1
1
a
4
=
−1
−a − 2
a
2
=
a − 1
−1
a
1
=
−1
0
a
6
=
a
−1
a
9
=
a
2
+ a + 1
−a
a
11
=
1
1
a
10
=
a + 2
a
2
+ 3a + 3
a
5
=
a
3
+ a
2
+ a − 3
−a
3
− 5a
2
− 9a − 9
(ii) Obstruction class = 1
(iii) Cusp Shapes = −4a
2
− 8a − 16
14
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
7
(u − 1)
4
c
3
, c
8
, c
10
u
4
+ 3u
2
+ 3
c
4
, c
5
, c
9
u
4
− 3u
2
+ 3
c
6
, c
11
, c
12
(u + 1)
4
15
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
c
7
, c
11
, c
12
(y −1)
4
c
3
, c
8
, c
10
(y
2
+ 3y + 3)
2
c
4
, c
5
, c
9
(y
2
− 3y + 3)
2
16
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
3
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = −0.65937 + 1.27123I
b = −1.00000
−3.28987 + 4.05977I −6.00000 − 3.46410I
u = 1.00000
a = −0.65937 − 1.27123I
b = −1.00000
−3.28987 − 4.05977I −6.00000 + 3.46410I
u = 1.00000
a = −1.34063 + 1.27123I
b = −1.00000
−3.28987 − 4.05977I −6.00000 + 3.46410I
u = 1.00000
a = −1.34063 − 1.27123I
b = −1.00000
−3.28987 + 4.05977I −6.00000 − 3.46410I
17
IV. I
u
4
= hb − 1, a
4
− 4a
3
+ 7a
2
− 6a + 1, u + 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
−1
a
3
=
a
1
a
8
=
1
1
a
4
=
1
−a + 2
a
2
=
a + 1
1
a
1
=
1
0
a
6
=
−a
−1
a
9
=
a
2
− a + 1
a
a
11
=
−1
−1
a
10
=
a − 2
−a
2
+ 3a − 3
a
5
=
−a
3
+ 3a
2
− 5a + 3
−a
3
+ 3a
2
− 5a + 3
(ii) Obstruction class = 1
(iii) Cusp Shapes = 4a
2
− 8a
18
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
6
, c
11
c
12
(u − 1)
4
c
2
, c
7
(u + 1)
4
c
3
, c
8
, c
10
u
4
+ u
2
− 1
c
4
, c
5
, c
9
u
4
− u
2
− 1
19
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
c
7
, c
11
, c
12
(y −1)
4
c
3
, c
8
, c
10
(y
2
+ y −1)
2
c
4
, c
5
, c
9
(y
2
− y −1)
2
20
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
4
√
−1(vol +
√
−1CS) Cusp shape
u = −1.00000
a = 1.00000 + 1.27202I
b = 1.00000
−7.23771 −10.47214 + 0.I
u = −1.00000
a = 1.00000 − 1.27202I
b = 1.00000
−7.23771 −10.47214 + 0.I
u = −1.00000
a = 1.78615
b = 1.00000
0.657974 −1.52790
u = −1.00000
a = 0.213849
b = 1.00000
0.657974 −1.52790
21
V. I
u
5
= hb + 1, a + 1, u − 1i
(i) Arc colorings
a
7
=
1
0
a
12
=
0
1
a
3
=
−1
−1
a
8
=
1
1
a
4
=
−1
−1
a
2
=
−2
−1
a
1
=
−1
0
a
6
=
−1
−1
a
9
=
1
1
a
11
=
1
1
a
10
=
1
1
a
5
=
−1
−1
(ii) Obstruction class = 1
(iii) Cusp Shapes = −12
22
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
2
, c
7
u − 1
c
3
, c
4
, c
5
c
8
, c
9
, c
10
u
c
6
, c
11
, c
12
u + 1
23
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
2
, c
6
c
7
, c
11
, c
12
y −1
c
3
, c
4
, c
5
c
8
, c
9
, c
10
y
24
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
5
√
−1(vol +
√
−1CS) Cusp shape
u = 1.00000
a = −1.00000
b = −1.00000
−3.28987 −12.0000
25
VI. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
((u − 1)
9
)(u
25
+ 7u
24
+ ··· + 6u + 1)(u
30
+ 13u
29
+ ··· + 1100u + 49)
c
2
, c
7
((u − 1)
5
)(u + 1)
4
(u
25
− u
24
+ ··· + 3u
2
− 1)(u
30
− u
29
+ ··· + 6u + 7)
c
3
u(u
4
+ u
2
− 1)(u
4
+ 3u
2
+ 3)(u
15
− u
14
+ ··· − 2u − 1)
2
· (u
25
+ 3u
24
+ ··· − 688u − 178)
c
4
, c
5
, c
9
u(u
4
− 3u
2
+ 3)(u
4
− u
2
− 1)(u
15
+ u
14
+ ··· − 2u − 1)
2
· (u
25
− 3u
24
+ ··· − 5u
2
− 2)
c
6
, c
11
, c
12
((u − 1)
4
)(u + 1)
5
(u
25
− u
24
+ ··· + 3u
2
− 1)(u
30
− u
29
+ ··· + 6u + 7)
c
8
, c
10
u(u
4
+ u
2
− 1)(u
4
+ 3u
2
+ 3)(u
15
− 3u
14
+ ··· + 4u
2
− 1)
2
· (u
25
+ 9u
24
+ ··· + 92u + 14)
26
VII. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
((y −1)
9
)(y
25
+ 33y
24
+ ··· + 2y −1)
· (y
30
+ 7y
29
+ ··· − 441680y + 2401)
c
2
, c
6
, c
7
c
11
, c
12
((y −1)
9
)(y
25
− 7y
24
+ ··· + 6y −1)(y
30
− 13y
29
+ ··· − 1100y + 49)
c
3
y(y
2
+ y −1)
2
(y
2
+ 3y + 3)
2
(y
15
− 17y
14
+ ··· + 8y −1)
2
· (y
25
− 9y
24
+ ··· − 428404y −31684)
c
4
, c
5
, c
9
y(y
2
− 3y + 3)
2
(y
2
− y −1)
2
(y
15
− 13y
14
+ ··· + 8y −1)
2
· (y
25
− 21y
24
+ ··· − 20y −4)
c
8
, c
10
y(y
2
+ y −1)
2
(y
2
+ 3y + 3)
2
(y
15
+ 7y
14
+ ··· + 8y −1)
2
· (y
25
+ 15y
24
+ ··· − 244y −196)
27
