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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)
 -- 0.0308763 seconds elapsed
 -- 0.0163042 seconds elapsed
 -- 0.000213157 seconds elapsed
 -- 0.000143397 seconds elapsed
 -- 0.000151072 seconds elapsed
 -- 0.000162132 seconds elapsed
 -- 0.000164386 seconds elapsed
 -- 0.000170178 seconds elapsed
 -- 0.000201565 seconds elapsed
 -- 0.000210633 seconds elapsed
 -- 0.000159948 seconds elapsed
 -- 0.000152735 seconds elapsed
 -- 0.000150129 seconds elapsed
 -- 0.000147224 seconds elapsed
 -- 0.000137186 seconds elapsed
 -- 0.000148096 seconds elapsed
 -- 0.000153015 seconds elapsed
 -- 0.000170487 seconds elapsed
 -- 0.000164756 seconds elapsed
 -- 0.000157253 seconds elapsed
 -- 0.000168213 seconds elapsed
 -- 0.00016066 seconds elapsed
 -- 0.000148256 seconds elapsed
 -- 0.000142034 seconds elapsed
 -- 0.000134159 seconds elapsed
 -- 0.000147284 seconds elapsed
 -- 0.000150461 seconds elapsed
 -- 0.000156682 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.