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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)
 -- 0.00831277 seconds elapsed
 -- 0.0153065 seconds elapsed
 -- 0.000217716 seconds elapsed
 -- 0.000163726 seconds elapsed
 -- 0.000160207 seconds elapsed
 -- 0.000150862 seconds elapsed
 -- 0.000157959 seconds elapsed
 -- 0.000168524 seconds elapsed
 -- 0.0001982 seconds elapsed
 -- 0.000213241 seconds elapsed
 -- 0.000175328 seconds elapsed
 -- 0.000167139 seconds elapsed
 -- 0.000177676 seconds elapsed
 -- 0.000172422 seconds elapsed
 -- 0.000159789 seconds elapsed
 -- 0.000153819 seconds elapsed
 -- 0.000172021 seconds elapsed
 -- 0.000155955 seconds elapsed
 -- 0.000180304 seconds elapsed
 -- 0.000176513 seconds elapsed
 -- 0.000204228 seconds elapsed
 -- 0.000179527 seconds elapsed
 -- 0.000169207 seconds elapsed
 -- 0.000180032 seconds elapsed
 -- 0.000159085 seconds elapsed
 -- 0.000182025 seconds elapsed
 -- 0.000165927 seconds elapsed
 -- 0.0001623 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.