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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)
 -- 0.0155752 seconds elapsed
 -- 0.0113377 seconds elapsed
 -- 0.000153492 seconds elapsed
 -- 0.000115512 seconds elapsed
 -- 0.000105812 seconds elapsed
 -- 0.000103511 seconds elapsed
 -- 0.000105331 seconds elapsed
 -- 0.000107261 seconds elapsed
 -- 0.000135262 seconds elapsed
 -- 0.000138782 seconds elapsed
 -- 0.000120302 seconds elapsed
 -- 0.000114342 seconds elapsed
 -- 0.000108661 seconds elapsed
 -- 0.000112651 seconds elapsed
 -- 0.000107331 seconds elapsed
 -- 0.000148022 seconds elapsed
 -- 0.000108521 seconds elapsed
 -- 0.000102911 seconds elapsed
 -- 0.000109322 seconds elapsed
 -- 0.000112031 seconds elapsed
 -- 0.000120351 seconds elapsed
 -- 0.000110611 seconds elapsed
 -- 0.000104212 seconds elapsed
 -- 0.000096511 seconds elapsed
 -- 0.000097611 seconds elapsed
 -- 0.000102761 seconds elapsed
 -- 0.000099551 seconds elapsed
 -- 0.000109541 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.