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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)
 -- 0.0279283 seconds elapsed
 -- 0.0718836 seconds elapsed
 -- 0.0007245 seconds elapsed
 -- 0.0007195 seconds elapsed
 -- 0.000691 seconds elapsed
 -- 0.000655417 seconds elapsed
 -- 0.000653458 seconds elapsed
 -- 0.000692833 seconds elapsed
 -- 0.000808791 seconds elapsed
 -- 0.000849458 seconds elapsed
 -- 0.00075325 seconds elapsed
 -- 0.000756583 seconds elapsed
 -- 0.000692583 seconds elapsed
 -- 0.000730167 seconds elapsed
 -- 0.000669083 seconds elapsed
 -- 0.000668625 seconds elapsed
 -- 0.000693375 seconds elapsed
 -- 0.000657375 seconds elapsed
 -- 0.000720041 seconds elapsed
 -- 0.000760125 seconds elapsed
 -- 0.000780791 seconds elapsed
 -- 0.000784833 seconds elapsed
 -- 0.000710875 seconds elapsed
 -- 0.000655375 seconds elapsed
 -- 0.000660625 seconds elapsed
 -- 0.000731416 seconds elapsed
 -- 0.000691375 seconds elapsed
 -- 0.000703458 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.