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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)
 -- 0.0186036 seconds elapsed
 -- 0.0113404 seconds elapsed
 -- 0.000167231 seconds elapsed
 -- 0.000112572 seconds elapsed
 -- 0.0001126 seconds elapsed
 -- 0.000117781 seconds elapsed
 -- 0.00010685 seconds elapsed
 -- 0.00010954 seconds elapsed
 -- 0.00012392 seconds elapsed
 -- 0.000134501 seconds elapsed
 -- 0.000117441 seconds elapsed
 -- 0.00011456 seconds elapsed
 -- 0.000111751 seconds elapsed
 -- 0.000114621 seconds elapsed
 -- 0.00010772 seconds elapsed
 -- 0.00010694 seconds elapsed
 -- 0.0001098 seconds elapsed
 -- 0.00017428 seconds elapsed
 -- 0.000117141 seconds elapsed
 -- 0.000110071 seconds elapsed
 -- 0.000121451 seconds elapsed
 -- 0.000118371 seconds elapsed
 -- 0.00010707 seconds elapsed
 -- 0.000103421 seconds elapsed
 -- 0.000104529 seconds elapsed
 -- 0.000104251 seconds elapsed
 -- 0.00010457 seconds elapsed
 -- 0.00010532 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.