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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)
 -- 0.012106 seconds elapsed
 -- 0.0371993 seconds elapsed
 -- 0.000296125 seconds elapsed
 -- 0.000221967 seconds elapsed
 -- 0.000225787 seconds elapsed
 -- 0.000233751 seconds elapsed
 -- 0.000225462 seconds elapsed
 -- 0.000250446 seconds elapsed
 -- 0.000271687 seconds elapsed
 -- 0.000292373 seconds elapsed
 -- 0.000246181 seconds elapsed
 -- 0.000267862 seconds elapsed
 -- 0.0002331 seconds elapsed
 -- 0.000238801 seconds elapsed
 -- 0.000231586 seconds elapsed
 -- 0.000228692 seconds elapsed
 -- 0.000254932 seconds elapsed
 -- 0.000232575 seconds elapsed
 -- 0.000271209 seconds elapsed
 -- 0.000276959 seconds elapsed
 -- 0.000256253 seconds elapsed
 -- 0.000245018 seconds elapsed
 -- 0.000238545 seconds elapsed
 -- 0.000214168 seconds elapsed
 -- 0.000218466 seconds elapsed
 -- 0.000220978 seconds elapsed
 -- 0.000222537 seconds elapsed
 -- 0.000296073 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.