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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)
     -- 0.0102221 seconds elapsed
     -- 0.0207029 seconds elapsed
(number Of blocks, 26)
     -- 0.000160204 seconds elapsed
1
     -- 0.000251372 seconds elapsed
1
     -- 0.000140033 seconds elapsed
1
     -- 0.000132444 seconds elapsed
1
     -- 0.000145688 seconds elapsed
2
     -- 0.000256312 seconds elapsed
 2
2
     -- 0.000285938 seconds elapsed
 2
2
     -- 0.000229064 seconds elapsed
 2
2 3
     -- 0.000156644 seconds elapsed
 2
2 3
     -- 0.000147911 seconds elapsed
 2
2 3
     -- 0.000130734 seconds elapsed
 2
2
     -- 0.000203893 seconds elapsed
 2
2
     -- 0.000186128 seconds elapsed
2
     -- 0.000134892 seconds elapsed
2
     -- 0.00014758 seconds elapsed
 2
2
     -- 0.000132082 seconds elapsed
 2
2
     -- 0.000215193 seconds elapsed
 2
2 3
     -- 0.000180676 seconds elapsed
 2
2 3
     -- 0.000164999 seconds elapsed
 2
2 3
     -- 0.000173876 seconds elapsed
 2
2
     -- 0.000154628 seconds elapsed
 2
2
     -- 0.000138048 seconds elapsed
2
     -- 0.000141159 seconds elapsed
1
     -- 0.000288116 seconds elapsed
1
     -- 0.000184925 seconds elapsed
1
     -- 0.000136066 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :