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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)
 -- 0.0217623 seconds elapsed
 -- 0.0120153 seconds elapsed
 -- 0.000178142 seconds elapsed
 -- 0.000116841 seconds elapsed
 -- 0.000110911 seconds elapsed
 -- 0.00010628 seconds elapsed
 -- 0.000110641 seconds elapsed
 -- 0.000116701 seconds elapsed
 -- 0.000138892 seconds elapsed
 -- 0.000145601 seconds elapsed
 -- 0.000127541 seconds elapsed
 -- 0.000117901 seconds elapsed
 -- 0.000110171 seconds elapsed
 -- 0.000114171 seconds elapsed
 -- 0.000113671 seconds elapsed
 -- 0.000156032 seconds elapsed
 -- 0.000112221 seconds elapsed
 -- 0.000106391 seconds elapsed
 -- 0.00011649 seconds elapsed
 -- 0.000120281 seconds elapsed
 -- 0.000126611 seconds elapsed
 -- 0.000113711 seconds elapsed
 -- 0.000110991 seconds elapsed
 -- 0.000103181 seconds elapsed
 -- 0.000098112 seconds elapsed
 -- 0.000112841 seconds elapsed
 -- 0.000135332 seconds elapsed
 -- 0.000103371 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.