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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)
 -- 0.0103174 seconds elapsed
 -- 0.0223608 seconds elapsed
 -- 0.000316218 seconds elapsed
 -- 0.000212876 seconds elapsed
 -- 0.000251418 seconds elapsed
 -- 0.000191216 seconds elapsed
 -- 0.000188631 seconds elapsed
 -- 0.000210432 seconds elapsed
 -- 0.000267599 seconds elapsed
 -- 0.000248644 seconds elapsed
 -- 0.000217264 seconds elapsed
 -- 0.000212726 seconds elapsed
 -- 0.000219008 seconds elapsed
 -- 0.000208337 seconds elapsed
 -- 0.000193089 seconds elapsed
 -- 0.000207546 seconds elapsed
 -- 0.000210282 seconds elapsed
 -- 0.000196657 seconds elapsed
 -- 0.000216282 seconds elapsed
 -- 0.000221612 seconds elapsed
 -- 0.000290461 seconds elapsed
 -- 0.000221753 seconds elapsed
 -- 0.000205933 seconds elapsed
 -- 0.000203219 seconds elapsed
 -- 0.000209761 seconds elapsed
 -- 0.000210622 seconds elapsed
 -- 0.000208418 seconds elapsed
 -- 0.000249093 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.