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K3Carpets :: carpetDet

carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Synopsis

Description

We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.

i1 : a=4,b=4

o1 = (4, 4)

o1 : Sequence
i2 : d=carpetDet(a,b)
 -- 0.0317001 seconds elapsed
 -- 0.0121384 seconds elapsed
 -- 0.000249253 seconds elapsed
 -- 0.000126521 seconds elapsed
 -- 0.000112731 seconds elapsed
 -- 0.000105531 seconds elapsed
 -- 0.000113541 seconds elapsed
 -- 0.000133881 seconds elapsed
 -- 0.00013431 seconds elapsed
 -- 0.000139232 seconds elapsed
 -- 0.000130001 seconds elapsed
 -- 0.000120111 seconds elapsed
 -- 0.000121071 seconds elapsed
 -- 0.000265103 seconds elapsed
 -- 0.000117481 seconds elapsed
 -- 0.000110021 seconds elapsed
 -- 0.00012391 seconds elapsed
 -- 0.000244682 seconds elapsed
 -- 0.000124582 seconds elapsed
 -- 0.000113901 seconds elapsed
 -- 0.000122361 seconds elapsed
 -- 0.000117881 seconds elapsed
 -- 0.000111083 seconds elapsed
 -- 0.000110801 seconds elapsed
 -- 0.000235822 seconds elapsed
 -- 0.000124641 seconds elapsed
 -- 0.000120262 seconds elapsed
 -- 0.000113961 seconds elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :

For the programmer

The object carpetDet is a method function.