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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)
 -- 0.0200756 seconds elapsed
 -- 0.011812 seconds elapsed
 -- 0.000167042 seconds elapsed
 -- 0.000115881 seconds elapsed
 -- 0.000109851 seconds elapsed
 -- 0.000106501 seconds elapsed
 -- 0.000106581 seconds elapsed
 -- 0.000110001 seconds elapsed
 -- 0.000130122 seconds elapsed
 -- 0.000141392 seconds elapsed
 -- 0.000122261 seconds elapsed
 -- 0.000117261 seconds elapsed
 -- 0.000116811 seconds elapsed
 -- 0.000114201 seconds elapsed
 -- 0.000106421 seconds elapsed
 -- 0.000182812 seconds elapsed
 -- 0.000116731 seconds elapsed
 -- 0.000103322 seconds elapsed
 -- 0.000119652 seconds elapsed
 -- 0.000120632 seconds elapsed
 -- 0.000129032 seconds elapsed
 -- 0.000130991 seconds elapsed
 -- 0.000105231 seconds elapsed
 -- 0.00010192 seconds elapsed
 -- 0.000098631 seconds elapsed
 -- 0.000122911 seconds elapsed
 -- 0.000106001 seconds elapsed
 -- 0.000101791 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.