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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)
     -- 0.058836 seconds elapsed
     -- 0.0140555 seconds elapsed
(number Of blocks, 26)
     -- 0.000144532 seconds elapsed
1
     -- 0.000147542 seconds elapsed
1
     -- 0.00011507 seconds elapsed
1
     -- 0.00010505 seconds elapsed
1
     -- 0.000105348 seconds elapsed
2
     -- 0.000128778 seconds elapsed
 2
2
     -- 0.000132804 seconds elapsed
 2
2
     -- 0.000148534 seconds elapsed
 2
2 3
     -- 0.000121985 seconds elapsed
 2
2 3
     -- 0.000117905 seconds elapsed
 2
2 3
     -- 0.0001257 seconds elapsed
 2
2
     -- 0.000114258 seconds elapsed
 2
2
     -- 0.000103582 seconds elapsed
2
     -- 0.000103494 seconds elapsed
2
     -- 0.000132996 seconds elapsed
 2
2
     -- 0.000103989 seconds elapsed
 2
2
     -- 0.000119679 seconds elapsed
 2
2 3
     -- 0.000136776 seconds elapsed
 2
2 3
     -- 0.000130357 seconds elapsed
 2
2 3
     -- 0.00014709 seconds elapsed
 2
2
     -- 0.000112143 seconds elapsed
 2
2
     -- 0.000101607 seconds elapsed
2
     -- 0.000095573 seconds elapsed
1
     -- 0.000117439 seconds elapsed
1
     -- 0.000138938 seconds elapsed
1
     -- 0.000197665 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :