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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)
 -- 0.00796407 seconds elapsed
 -- 0.0181056 seconds elapsed
 -- 0.000312632 seconds elapsed
 -- 0.000159548 seconds elapsed
 -- 0.000148446 seconds elapsed
 -- 0.000169095 seconds elapsed
 -- 0.000151794 seconds elapsed
 -- 0.00017715 seconds elapsed
 -- 0.000181828 seconds elapsed
 -- 0.00019298 seconds elapsed
 -- 0.000173183 seconds elapsed
 -- 0.000157965 seconds elapsed
 -- 0.000156822 seconds elapsed
 -- 0.000172581 seconds elapsed
 -- 0.000163344 seconds elapsed
 -- 0.000152775 seconds elapsed
 -- 0.000162893 seconds elapsed
 -- 0.000160419 seconds elapsed
 -- 0.000164536 seconds elapsed
 -- 0.000168945 seconds elapsed
 -- 0.000177941 seconds elapsed
 -- 0.000176629 seconds elapsed
 -- 0.000168474 seconds elapsed
 -- 0.000148637 seconds elapsed
 -- 0.00015023 seconds elapsed
 -- 0.000169586 seconds elapsed
 -- 0.000162503 seconds elapsed
 -- 0.000153165 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.