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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)
     -- 0.00660927 seconds elapsed
     -- 0.0142256 seconds elapsed
(number Of blocks, 26)
     -- 0.000159279 seconds elapsed
1
     -- 0.000103565 seconds elapsed
1
     -- 0.000099657 seconds elapsed
1
     -- 0.000095488 seconds elapsed
1
     -- 0.000099526 seconds elapsed
2
     -- 0.00010666 seconds elapsed
 2
2
     -- 0.000121718 seconds elapsed
 2
2
     -- 0.000125275 seconds elapsed
 2
2 3
     -- 0.000112781 seconds elapsed
 2
2 3
     -- 0.000110407 seconds elapsed
 2
2 3
     -- 0.000102221 seconds elapsed
 2
2
     -- 0.00010616 seconds elapsed
 2
2
     -- 0.000099245 seconds elapsed
2
     -- 0.000094697 seconds elapsed
2
     -- 0.000103745 seconds elapsed
 2
2
     -- 0.000099095 seconds elapsed
 2
2
     -- 0.000111458 seconds elapsed
 2
2 3
     -- 0.000123642 seconds elapsed
 2
2 3
     -- 0.000129603 seconds elapsed
 2
2 3
     -- 0.000120025 seconds elapsed
 2
2
     -- 0.000105098 seconds elapsed
 2
2
     -- 0.000094517 seconds elapsed
2
     -- 0.000098173 seconds elapsed
1
     -- 0.000100018 seconds elapsed
1
     -- 0.000099857 seconds elapsed
1
     -- 0.000100497 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :