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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)
 -- 0.00800076 seconds elapsed
 -- 0.0245117 seconds elapsed
 -- 0.000280419 seconds elapsed
 -- 0.000252798 seconds elapsed
 -- 0.000236786 seconds elapsed
 -- 0.000224274 seconds elapsed
 -- 0.00022417 seconds elapsed
 -- 0.000239888 seconds elapsed
 -- 0.000275645 seconds elapsed
 -- 0.000288292 seconds elapsed
 -- 0.00023611 seconds elapsed
 -- 0.000224806 seconds elapsed
 -- 0.000214722 seconds elapsed
 -- 0.000221182 seconds elapsed
 -- 0.00021634 seconds elapsed
 -- 0.000208829 seconds elapsed
 -- 0.000216609 seconds elapsed
 -- 0.000207386 seconds elapsed
 -- 0.000231683 seconds elapsed
 -- 0.000225728 seconds elapsed
 -- 0.000252395 seconds elapsed
 -- 0.00032035 seconds elapsed
 -- 0.000219405 seconds elapsed
 -- 0.000208032 seconds elapsed
 -- 0.000219776 seconds elapsed
 -- 0.000212635 seconds elapsed
 -- 0.000216362 seconds elapsed
 -- 0.000224424 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.