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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)
 -- 0.0302791 seconds elapsed
 -- 0.0205901 seconds elapsed
 -- 0.000197733 seconds elapsed
 -- 0.000347924 seconds elapsed
 -- 0.000172782 seconds elapsed
 -- 0.000342594 seconds elapsed
 -- 0.000172312 seconds elapsed
 -- 0.000158822 seconds elapsed
 -- 0.000267364 seconds elapsed
 -- 0.000305474 seconds elapsed
 -- 0.000246583 seconds elapsed
 -- 0.000239273 seconds elapsed
 -- 0.000220813 seconds elapsed
 -- 0.000255203 seconds elapsed
 -- 0.000222153 seconds elapsed
 -- 0.000210293 seconds elapsed
 -- 0.000227213 seconds elapsed
 -- 0.000265044 seconds elapsed
 -- 0.000358666 seconds elapsed
 -- 0.000238843 seconds elapsed
 -- 0.000237253 seconds elapsed
 -- 0.000224713 seconds elapsed
 -- 0.000148782 seconds elapsed
 -- 0.000144871 seconds elapsed
 -- 0.000132192 seconds elapsed
 -- 0.000140062 seconds elapsed
 -- 0.000162151 seconds elapsed
 -- 0.000205463 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.