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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)
 -- 0.0372255 seconds elapsed
 -- 0.0217403 seconds elapsed
 -- 0.000342208 seconds elapsed
 -- 0.000217324 seconds elapsed
 -- 0.000204891 seconds elapsed
 -- 0.000195213 seconds elapsed
 -- 0.000195394 seconds elapsed
 -- 0.000214029 seconds elapsed
 -- 0.000256918 seconds elapsed
 -- 0.000245337 seconds elapsed
 -- 0.000226863 seconds elapsed
 -- 0.000217635 seconds elapsed
 -- 0.000212486 seconds elapsed
 -- 0.000207877 seconds elapsed
 -- 0.000223126 seconds elapsed
 -- 0.00022539 seconds elapsed
 -- 0.000200402 seconds elapsed
 -- 0.000232694 seconds elapsed
 -- 0.000220992 seconds elapsed
 -- 0.000222675 seconds elapsed
 -- 0.000226422 seconds elapsed
 -- 0.000232584 seconds elapsed
 -- 0.000199973 seconds elapsed
 -- 0.00018854 seconds elapsed
 -- 0.00019344 seconds elapsed
 -- 0.000194852 seconds elapsed
 -- 0.000195043 seconds elapsed
 -- 0.000213026 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.