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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)
 -- 0.0360313 seconds elapsed
 -- 0.0219505 seconds elapsed
 -- 0.00032067 seconds elapsed
 -- 0.000255588 seconds elapsed
 -- 0.000233046 seconds elapsed
 -- 0.000238837 seconds elapsed
 -- 0.000514803 seconds elapsed
 -- 0.000328475 seconds elapsed
 -- 0.000263203 seconds elapsed
 -- 0.000264736 seconds elapsed
 -- 0.000224329 seconds elapsed
 -- 0.000227386 seconds elapsed
 -- 0.00020856 seconds elapsed
 -- 0.000203791 seconds elapsed
 -- 0.000190105 seconds elapsed
 -- 0.000225151 seconds elapsed
 -- 0.00020835 seconds elapsed
 -- 0.000199202 seconds elapsed
 -- 0.000229621 seconds elapsed
 -- 0.00020868 seconds elapsed
 -- 0.000270987 seconds elapsed
 -- 0.000214523 seconds elapsed
 -- 0.000219031 seconds elapsed
 -- 0.000195667 seconds elapsed
 -- 0.000190105 seconds elapsed
 -- 0.000196938 seconds elapsed
 -- 0.000196208 seconds elapsed
 -- 0.000189095 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.