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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)
 -- 0.0114595 seconds elapsed
 -- 0.0224638 seconds elapsed
 -- 0.000269542 seconds elapsed
 -- 0.000232269 seconds elapsed
 -- 0.000230972 seconds elapsed
 -- 0.000211106 seconds elapsed
 -- 0.0002182 seconds elapsed
 -- 0.000227282 seconds elapsed
 -- 0.000301217 seconds elapsed
 -- 0.000288194 seconds elapsed
 -- 0.000245074 seconds elapsed
 -- 0.00029159 seconds elapsed
 -- 0.000244615 seconds elapsed
 -- 0.000235692 seconds elapsed
 -- 0.000221763 seconds elapsed
 -- 0.00021262 seconds elapsed
 -- 0.000241608 seconds elapsed
 -- 0.000260387 seconds elapsed
 -- 0.000260562 seconds elapsed
 -- 0.000279626 seconds elapsed
 -- 0.000259806 seconds elapsed
 -- 0.000240852 seconds elapsed
 -- 0.000229839 seconds elapsed
 -- 0.000212325 seconds elapsed
 -- 0.000218134 seconds elapsed
 -- 0.000242203 seconds elapsed
 -- 0.000220154 seconds elapsed
 -- 0.00027566 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.