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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)
 -- 0.0149999 seconds elapsed
 -- 0.0162938 seconds elapsed
 -- 0.000176821 seconds elapsed
 -- 0.000132386 seconds elapsed
 -- 0.000125539 seconds elapsed
 -- 0.000306997 seconds elapsed
 -- 0.000361296 seconds elapsed
 -- 0.000149173 seconds elapsed
 -- 0.000479427 seconds elapsed
 -- 0.000437369 seconds elapsed
 -- 0.00012891 seconds elapsed
 -- 0.000213328 seconds elapsed
 -- 0.000327947 seconds elapsed
 -- 0.000324325 seconds elapsed
 -- 0.000119546 seconds elapsed
 -- 0.00036147 seconds elapsed
 -- 0.000330147 seconds elapsed
 -- 0.00011602 seconds elapsed
 -- 0.000488116 seconds elapsed
 -- 0.000337608 seconds elapsed
 -- 0.000456337 seconds elapsed
 -- 0.000353336 seconds elapsed
 -- 0.000325161 seconds elapsed
 -- 0.000118652 seconds elapsed
 -- 0.00011609 seconds elapsed
 -- 0.000316334 seconds elapsed
 -- 0.000366566 seconds elapsed
 -- 0.000113655 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.