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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)
     -- 0.0149095 seconds elapsed
     -- 0.0114922 seconds elapsed
(number Of blocks, 26)
     -- 0.000116767 seconds elapsed
1
     -- 0.000099024 seconds elapsed
1
     -- 0.000091028 seconds elapsed
1
     -- 0.000084858 seconds elapsed
1
     -- 0.00008645 seconds elapsed
2
     -- 0.000097303 seconds elapsed
 2
2
     -- 0.000107526 seconds elapsed
 2
2
     -- 0.000118666 seconds elapsed
 2
2 3
     -- 0.000104394 seconds elapsed
 2
2 3
     -- 0.000098592 seconds elapsed
 2
2 3
     -- 0.000088314 seconds elapsed
 2
2
     -- 0.000090331 seconds elapsed
 2
2
     -- 0.000084392 seconds elapsed
2
     -- 0.000085634 seconds elapsed
2
     -- 0.000095733 seconds elapsed
 2
2
     -- 0.000090655 seconds elapsed
 2
2
     -- 0.000098944 seconds elapsed
 2
2 3
     -- 0.000096376 seconds elapsed
 2
2 3
     -- 0.000113897 seconds elapsed
 2
2 3
     -- 0.000109817 seconds elapsed
 2
2
     -- 0.00009743 seconds elapsed
 2
2
     -- 0.000093227 seconds elapsed
2
     -- 0.00009175 seconds elapsed
1
     -- 0.000096982 seconds elapsed
1
     -- 0.000094075 seconds elapsed
1
     -- 0.000094952 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :