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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)
 -- 0.00592987 seconds elapsed
 -- 0.0433334 seconds elapsed
 -- 0.00019528 seconds elapsed
 -- 0.000111225 seconds elapsed
 -- 0.000103043 seconds elapsed
 -- 0.000127443 seconds elapsed
 -- 0.000097011 seconds elapsed
 -- 0.00010346 seconds elapsed
 -- 0.000129756 seconds elapsed
 -- 0.000122553 seconds elapsed
 -- 0.00010918 seconds elapsed
 -- 0.000127843 seconds elapsed
 -- 0.000102796 seconds elapsed
 -- 0.000100474 seconds elapsed
 -- 0.0000958 seconds elapsed
 -- 0.000098327 seconds elapsed
 -- 0.00010377 seconds elapsed
 -- 0.000098649 seconds elapsed
 -- 0.000114718 seconds elapsed
 -- 0.000114536 seconds elapsed
 -- 0.000160624 seconds elapsed
 -- 0.000113529 seconds elapsed
 -- 0.000100598 seconds elapsed
 -- 0.000091668 seconds elapsed
 -- 0.000097259 seconds elapsed
 -- 0.000101794 seconds elapsed
 -- 0.000099838 seconds elapsed
 -- 0.000093834 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.