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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)
 -- 0.0166358 seconds elapsed
 -- 0.015979 seconds elapsed
 -- 0.000227482 seconds elapsed
 -- 0.000187241 seconds elapsed
 -- 0.000172882 seconds elapsed
 -- 0.000167442 seconds elapsed
 -- 0.000160161 seconds elapsed
 -- 0.000179442 seconds elapsed
 -- 0.000190761 seconds elapsed
 -- 0.000226202 seconds elapsed
 -- 0.000204321 seconds elapsed
 -- 0.000204082 seconds elapsed
 -- 0.000198162 seconds elapsed
 -- 0.000190402 seconds elapsed
 -- 0.000156681 seconds elapsed
 -- 0.000157521 seconds elapsed
 -- 0.000169281 seconds elapsed
 -- 0.000161081 seconds elapsed
 -- 0.000174601 seconds elapsed
 -- 0.000167161 seconds elapsed
 -- 0.000211242 seconds elapsed
 -- 0.000209482 seconds elapsed
 -- 0.000199362 seconds elapsed
 -- 0.000197641 seconds elapsed
 -- 0.000151801 seconds elapsed
 -- 0.000155522 seconds elapsed
 -- 0.000162002 seconds elapsed
 -- 0.000153321 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.