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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)
     -- 0.0917955 seconds elapsed
     -- 0.0402403 seconds elapsed
(number Of blocks, 26)
     -- 0.000475784 seconds elapsed
1
     -- 0.000252968 seconds elapsed
1
     -- 0.000234666 seconds elapsed
1
     -- 0.000227609 seconds elapsed
1
     -- 0.000223212 seconds elapsed
2
     -- 0.000239987 seconds elapsed
 2
2
     -- 0.000295863 seconds elapsed
 2
2
     -- 0.000326991 seconds elapsed
 2
2 3
     -- 0.000265644 seconds elapsed
 2
2 3
     -- 0.000256902 seconds elapsed
 2
2 3
     -- 0.000234215 seconds elapsed
 2
2
     -- 0.000239873 seconds elapsed
 2
2
     -- 0.000235306 seconds elapsed
2
     -- 0.000228698 seconds elapsed
2
     -- 0.000243366 seconds elapsed
 2
2
     -- 0.000251522 seconds elapsed
 2
2
     -- 0.000266824 seconds elapsed
 2
2 3
     -- 0.000265537 seconds elapsed
 2
2 3
     -- 0.000308949 seconds elapsed
 2
2 3
     -- 0.000273059 seconds elapsed
 2
2
     -- 0.000259059 seconds elapsed
 2
2
     -- 0.000240051 seconds elapsed
2
     -- 0.000230022 seconds elapsed
1
     -- 0.000249916 seconds elapsed
1
     -- 0.000236758 seconds elapsed
1
     -- 0.000228835 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :