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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)
 -- 0.0342047 seconds elapsed
 -- 0.0220066 seconds elapsed
 -- 0.000318994 seconds elapsed
 -- 0.000167562 seconds elapsed
 -- 0.000173453 seconds elapsed
 -- 0.000162823 seconds elapsed
 -- 0.000158115 seconds elapsed
 -- 0.000162203 seconds elapsed
 -- 0.000222715 seconds elapsed
 -- 0.000208798 seconds elapsed
 -- 0.000196034 seconds elapsed
 -- 0.000172772 seconds elapsed
 -- 0.000161782 seconds elapsed
 -- 0.000171089 seconds elapsed
 -- 0.000178934 seconds elapsed
 -- 0.000172872 seconds elapsed
 -- 0.000176258 seconds elapsed
 -- 0.000158125 seconds elapsed
 -- 0.000176518 seconds elapsed
 -- 0.000180716 seconds elapsed
 -- 0.000195064 seconds elapsed
 -- 0.000188672 seconds elapsed
 -- 0.0001663 seconds elapsed
 -- 0.000163284 seconds elapsed
 -- 0.000157654 seconds elapsed
 -- 0.000157904 seconds elapsed
 -- 0.000175006 seconds elapsed
 -- 0.000146753 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.