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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)
 -- 0.0103185 seconds elapsed
 -- 0.0221628 seconds elapsed
 -- 0.000308584 seconds elapsed
 -- 0.000195234 seconds elapsed
 -- 0.000195634 seconds elapsed
 -- 0.000188121 seconds elapsed
 -- 0.00020925 seconds elapsed
 -- 0.000235418 seconds elapsed
 -- 0.0002358 seconds elapsed
 -- 0.000256658 seconds elapsed
 -- 0.000217535 seconds elapsed
 -- 0.00021403 seconds elapsed
 -- 0.000197318 seconds elapsed
 -- 0.000210852 seconds elapsed
 -- 0.000201014 seconds elapsed
 -- 0.000197168 seconds elapsed
 -- 0.000205352 seconds elapsed
 -- 0.000200163 seconds elapsed
 -- 0.000213919 seconds elapsed
 -- 0.000238534 seconds elapsed
 -- 0.000231481 seconds elapsed
 -- 0.000239296 seconds elapsed
 -- 0.000199442 seconds elapsed
 -- 0.000205112 seconds elapsed
 -- 0.000197948 seconds elapsed
 -- 0.000210191 seconds elapsed
 -- 0.000206064 seconds elapsed
 -- 0.000198471 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.