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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)
 -- 0.0218798 seconds elapsed
 -- 0.00981285 seconds elapsed
 -- 0.000175652 seconds elapsed
 -- 0.000114555 seconds elapsed
 -- 0.000097171 seconds elapsed
 -- 0.000090012 seconds elapsed
 -- 0.00010468 seconds elapsed
 -- 0.000100658 seconds elapsed
 -- 0.000115854 seconds elapsed
 -- 0.000120131 seconds elapsed
 -- 0.00010667 seconds elapsed
 -- 0.000098673 seconds elapsed
 -- 0.000094576 seconds elapsed
 -- 0.000115228 seconds elapsed
 -- 0.000095119 seconds elapsed
 -- 0.000093495 seconds elapsed
 -- 0.000095908 seconds elapsed
 -- 0.00009003 seconds elapsed
 -- 0.000100707 seconds elapsed
 -- 0.00010159 seconds elapsed
 -- 0.000118291 seconds elapsed
 -- 0.000100754 seconds elapsed
 -- 0.000110149 seconds elapsed
 -- 0.000108165 seconds elapsed
 -- 0.000084449 seconds elapsed
 -- 0.000088464 seconds elapsed
 -- 0.000082171 seconds elapsed
 -- 0.000096677 seconds elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :

For the programmer

The object carpetDet is a method function.