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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)
     -- 0.00754116 seconds elapsed
     -- 0.0141136 seconds elapsed
(number Of blocks, 26)
     -- 0.000164136 seconds elapsed
1
     -- 0.000198114 seconds elapsed
1
     -- 0.000114624 seconds elapsed
1
     -- 0.000108424 seconds elapsed
1
     -- 0.000103247 seconds elapsed
2
     -- 0.000118779 seconds elapsed
 2
2
     -- 0.000158419 seconds elapsed
 2
2
     -- 0.000147731 seconds elapsed
 2
2 3
     -- 0.000163104 seconds elapsed
 2
2 3
     -- 0.000120406 seconds elapsed
 2
2 3
     -- 0.000147416 seconds elapsed
 2
2
     -- 0.000117392 seconds elapsed
 2
2
     -- 0.000174296 seconds elapsed
2
     -- 0.000110454 seconds elapsed
2
     -- 0.000155909 seconds elapsed
 2
2
     -- 0.000143257 seconds elapsed
 2
2
     -- 0.000177676 seconds elapsed
 2
2 3
     -- 0.000177276 seconds elapsed
 2
2 3
     -- 0.0002212 seconds elapsed
 2
2 3
     -- 0.000137991 seconds elapsed
 2
2
     -- 0.000154523 seconds elapsed
 2
2
     -- 0.000112998 seconds elapsed
2
     -- 0.000152476 seconds elapsed
1
     -- 0.000167362 seconds elapsed
1
     -- 0.000114939 seconds elapsed
1
     -- 0.000107137 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :