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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)
     -- 0.014792 seconds elapsed
     -- 0.0112317 seconds elapsed
(number Of blocks, 26)
     -- 0.000122247 seconds elapsed
1
     -- 0.000095748 seconds elapsed
1
     -- 0.000089949 seconds elapsed
1
     -- 0.000084001 seconds elapsed
1
     -- 0.000089354 seconds elapsed
2
     -- 0.000093038 seconds elapsed
 2
2
     -- 0.00010928 seconds elapsed
 2
2
     -- 0.000116119 seconds elapsed
 2
2 3
     -- 0.000100649 seconds elapsed
 2
2 3
     -- 0.00009743 seconds elapsed
 2
2 3
     -- 0.000096032 seconds elapsed
 2
2
     -- 0.000090984 seconds elapsed
 2
2
     -- 0.000084631 seconds elapsed
2
     -- 0.000085481 seconds elapsed
2
     -- 0.000088507 seconds elapsed
 2
2
     -- 0.000084208 seconds elapsed
 2
2
     -- 0.000097548 seconds elapsed
 2
2 3
     -- 0.000097845 seconds elapsed
 2
2 3
     -- 0.000111851 seconds elapsed
 2
2 3
     -- 0.000106029 seconds elapsed
 2
2
     -- 0.000093615 seconds elapsed
 2
2
     -- 0.000093463 seconds elapsed
2
     -- 0.000090759 seconds elapsed
1
     -- 0.000092922 seconds elapsed
1
     -- 0.000093942 seconds elapsed
1
     -- 0.000105342 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :