i1 : F = genericPolynomials {2,2,3}
2 2 2 2 2
o1 = {a x + a x x + a x + a x x + a x x + a x , b x + b x x + b x +
0 0 1 0 1 3 1 2 0 2 4 1 2 5 2 0 0 1 0 1 3 1
------------------------------------------------------------------------
2 3 2 2 3 2
b x x + b x x + b x , c x + c x x + c x x + c x + c x x +
2 0 2 4 1 2 5 2 0 0 1 0 1 3 0 1 6 1 2 0 2
------------------------------------------------------------------------
2 2 2 3
c x x x + c x x + c x x + c x x + c x }
4 0 1 2 7 1 2 5 0 2 8 1 2 9 2
o1 : List
|
i2 : time (D,D') = macaulayFormula F
-- used 0.00268843 seconds
o2 = (| a_0 a_1 a_2 a_3 a_4 a_5 0 0 0 0 0 0 0 0 0 0 0
| 0 a_0 0 a_1 a_2 0 a_3 a_4 a_5 0 0 0 0 0 0 0 0
| 0 0 a_0 0 a_1 a_2 0 a_3 a_4 a_5 0 0 0 0 0 0 0
| 0 0 0 a_0 0 0 a_1 a_2 0 0 a_3 a_4 a_5 0 0 0 0
| 0 0 0 0 a_0 0 0 a_1 a_2 0 0 a_3 a_4 a_5 0 0 0
| 0 0 0 0 0 a_0 0 0 a_1 a_2 0 0 a_3 a_4 a_5 0 0
| 0 0 0 0 0 0 a_0 0 0 0 a_1 a_2 0 0 0 a_3 a_4
| 0 0 0 0 0 0 0 a_0 0 0 0 a_1 a_2 0 0 0 a_3
| 0 0 0 0 0 0 0 0 a_0 0 0 0 a_1 a_2 0 0 0
| 0 0 0 0 0 0 0 0 0 a_0 0 0 0 a_1 a_2 0 0
| 0 0 0 b_0 0 0 b_1 b_2 0 0 b_3 b_4 b_5 0 0 0 0
| 0 0 0 0 b_0 0 0 b_1 b_2 0 0 b_3 b_4 b_5 0 0 0
| 0 0 0 0 0 b_0 0 0 b_1 b_2 0 0 b_3 b_4 b_5 0 0
| 0 c_0 0 c_1 c_2 0 c_3 c_4 c_5 0 c_6 c_7 c_8 c_9 0 0 0
| 0 0 c_0 0 c_1 c_2 0 c_3 c_4 c_5 0 c_6 c_7 c_8 c_9 0 0
| 0 0 0 0 0 0 b_0 0 0 0 b_1 b_2 0 0 0 b_3 b_4
| 0 0 0 0 0 0 0 b_0 0 0 0 b_1 b_2 0 0 0 b_3
| 0 0 0 0 0 0 0 0 b_0 0 0 0 b_1 b_2 0 0 0
| 0 0 0 0 0 0 0 0 0 b_0 0 0 0 b_1 b_2 0 0
| 0 0 0 0 c_0 0 0 c_1 c_2 0 0 c_3 c_4 c_5 0 0 c_6
| 0 0 0 0 0 c_0 0 0 c_1 c_2 0 0 c_3 c_4 c_5 0 0
------------------------------------------------------------------------
0 0 0 0 |, | a_0 a_1 a_2 0 0 |)
0 0 0 0 | | 0 a_0 0 0 0 |
0 0 0 0 | | 0 0 a_0 0 a_5 |
0 0 0 0 | | 0 0 0 a_0 a_3 |
0 0 0 0 | | 0 0 0 b_0 b_3 |
0 0 0 0 |
a_5 0 0 0 |
a_4 a_5 0 0 |
a_3 a_4 a_5 0 |
0 a_3 a_4 a_5 |
0 0 0 0 |
0 0 0 0 |
0 0 0 0 |
0 0 0 0 |
0 0 0 0 |
b_5 0 0 0 |
b_4 b_5 0 0 |
b_3 b_4 b_5 0 |
0 b_3 b_4 b_5 |
c_7 c_8 c_9 0 |
c_6 c_7 c_8 c_9 |
o2 : Sequence
|
i3 : F = {random(2,Grass(0,2)),random(2,Grass(0,2)),random(3,Grass(0,2))}
9 2 1 1 2 9 3 2 3 2 3 7 2 7
o3 = {-p + -p p + -p + -p p + p p + -p , -p + -p p + -p + -p p +
2 0 2 0 1 2 1 4 0 2 1 2 4 2 2 0 4 0 1 9 1 4 0 2
------------------------------------------------------------------------
7 1 2 7 3 7 2 3 2 2 3 2 5 2
--p p + -p , --p + -p p + -p p + -p + 7p p + -p p p + p p +
10 1 2 2 2 10 0 3 0 1 7 0 1 3 1 0 2 2 0 1 2 1 2
------------------------------------------------------------------------
6 2 2 3
-p p + 2p p + 6p }
7 0 2 1 2 2
o3 : List
|
i4 : time (D,D') = macaulayFormula F
-- used 0.00174551 seconds
o4 = (| 9/2 1/2 9/4 1/2 1 3/4 0 0 0 0 0 0 0 0 0
| 0 9/2 0 1/2 9/4 0 1/2 1 3/4 0 0 0 0 0 0
| 0 0 9/2 0 1/2 9/4 0 1/2 1 3/4 0 0 0 0 0
| 0 0 0 9/2 0 0 1/2 9/4 0 0 1/2 1 3/4 0 0
| 0 0 0 0 9/2 0 0 1/2 9/4 0 0 1/2 1 3/4 0
| 0 0 0 0 0 9/2 0 0 1/2 9/4 0 0 1/2 1 3/4
| 0 0 0 0 0 0 9/2 0 0 0 1/2 9/4 0 0 0
| 0 0 0 0 0 0 0 9/2 0 0 0 1/2 9/4 0 0
| 0 0 0 0 0 0 0 0 9/2 0 0 0 1/2 9/4 0
| 0 0 0 0 0 0 0 0 0 9/2 0 0 0 1/2 9/4
| 0 0 0 3/2 0 0 3/4 7/4 0 0 7/9 7/10 1/2 0 0
| 0 0 0 0 3/2 0 0 3/4 7/4 0 0 7/9 7/10 1/2 0
| 0 0 0 0 0 3/2 0 0 3/4 7/4 0 0 7/9 7/10 1/2
| 0 7/10 0 7/3 7 0 3/7 5/2 6/7 0 2/3 1 2 6 0
| 0 0 7/10 0 7/3 7 0 3/7 5/2 6/7 0 2/3 1 2 6
| 0 0 0 0 0 0 3/2 0 0 0 3/4 7/4 0 0 0
| 0 0 0 0 0 0 0 3/2 0 0 0 3/4 7/4 0 0
| 0 0 0 0 0 0 0 0 3/2 0 0 0 3/4 7/4 0
| 0 0 0 0 0 0 0 0 0 3/2 0 0 0 3/4 7/4
| 0 0 0 0 7/10 0 0 7/3 7 0 0 3/7 5/2 6/7 0
| 0 0 0 0 0 7/10 0 0 7/3 7 0 0 3/7 5/2 6/7
------------------------------------------------------------------------
0 0 0 0 0 0 |, | 9/2 1/2 9/4 0 0 |)
0 0 0 0 0 0 | | 0 9/2 0 0 0 |
0 0 0 0 0 0 | | 0 0 9/2 0 3/4 |
0 0 0 0 0 0 | | 0 0 0 9/2 1/2 |
0 0 0 0 0 0 | | 0 0 0 3/2 7/9 |
0 0 0 0 0 0 |
1/2 1 3/4 0 0 0 |
0 1/2 1 3/4 0 0 |
0 0 1/2 1 3/4 0 |
0 0 0 1/2 1 3/4 |
0 0 0 0 0 0 |
0 0 0 0 0 0 |
0 0 0 0 0 0 |
0 0 0 0 0 0 |
0 0 0 0 0 0 |
7/9 7/10 1/2 0 0 0 |
0 7/9 7/10 1/2 0 0 |
0 0 7/9 7/10 1/2 0 |
0 0 0 7/9 7/10 1/2 |
0 2/3 1 2 6 0 |
0 0 2/3 1 2 6 |
o4 : Sequence
|