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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)
 -- 0.00951864 seconds elapsed
 -- 0.0171215 seconds elapsed
 -- 0.000220733 seconds elapsed
 -- 0.00016556 seconds elapsed
 -- 0.000158898 seconds elapsed
 -- 0.000166401 seconds elapsed
 -- 0.000161712 seconds elapsed
 -- 0.000166001 seconds elapsed
 -- 0.000290833 seconds elapsed
 -- 0.000278711 seconds elapsed
 -- 0.00024617 seconds elapsed
 -- 0.000240129 seconds elapsed
 -- 0.000155781 seconds elapsed
 -- 0.000173213 seconds elapsed
 -- 0.00015486 seconds elapsed
 -- 0.000184846 seconds elapsed
 -- 0.000164798 seconds elapsed
 -- 0.000153918 seconds elapsed
 -- 0.000184604 seconds elapsed
 -- 0.00020885 seconds elapsed
 -- 0.000196719 seconds elapsed
 -- 0.000200515 seconds elapsed
 -- 0.000161973 seconds elapsed
 -- 0.000153036 seconds elapsed
 -- 0.000151393 seconds elapsed
 -- 0.000167644 seconds elapsed
 -- 0.000157345 seconds elapsed
 -- 0.000161722 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.