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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)
 -- 0.0240247 seconds elapsed
 -- 0.0121154 seconds elapsed
 -- 0.000185302 seconds elapsed
 -- 0.000124341 seconds elapsed
 -- 0.000119821 seconds elapsed
 -- 0.000114102 seconds elapsed
 -- 0.000114621 seconds elapsed
 -- 0.000128991 seconds elapsed
 -- 0.000136301 seconds elapsed
 -- 0.000169962 seconds elapsed
 -- 0.000128262 seconds elapsed
 -- 0.000121041 seconds elapsed
 -- 0.000118791 seconds elapsed
 -- 0.000126681 seconds elapsed
 -- 0.000115711 seconds elapsed
 -- 0.000155601 seconds elapsed
 -- 0.000114581 seconds elapsed
 -- 0.000115181 seconds elapsed
 -- 0.000123871 seconds elapsed
 -- 0.000119581 seconds elapsed
 -- 0.000130081 seconds elapsed
 -- 0.000115911 seconds elapsed
 -- 0.000134901 seconds elapsed
 -- 0.000112761 seconds elapsed
 -- 0.000106612 seconds elapsed
 -- 0.000111531 seconds elapsed
 -- 0.000122941 seconds elapsed
 -- 0.000112451 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.