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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)
 -- 0.0207298 seconds elapsed
 -- 0.0160859 seconds elapsed
 -- 0.000305433 seconds elapsed
 -- 0.000291309 seconds elapsed
 -- 0.000250673 seconds elapsed
 -- 0.000239806 seconds elapsed
 -- 0.000201061 seconds elapsed
 -- 0.000228199 seconds elapsed
 -- 0.000232212 seconds elapsed
 -- 0.000284233 seconds elapsed
 -- 0.00022206 seconds elapsed
 -- 0.000197247 seconds elapsed
 -- 0.000187269 seconds elapsed
 -- 0.000192251 seconds elapsed
 -- 0.00018551 seconds elapsed
 -- 0.000225134 seconds elapsed
 -- 0.000189949 seconds elapsed
 -- 0.000161999 seconds elapsed
 -- 0.000189318 seconds elapsed
 -- 0.00019421 seconds elapsed
 -- 0.00018635 seconds elapsed
 -- 0.000230265 seconds elapsed
 -- 0.000169731 seconds elapsed
 -- 0.000161507 seconds elapsed
 -- 0.000157895 seconds elapsed
 -- 0.000159382 seconds elapsed
 -- 0.00015828 seconds elapsed
 -- 0.000172411 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.