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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)
 -- 0.00997669 seconds elapsed
 -- 0.0215147 seconds elapsed
 -- 0.000242542 seconds elapsed
 -- 0.000206987 seconds elapsed
 -- 0.000190797 seconds elapsed
 -- 0.000179586 seconds elapsed
 -- 0.000196898 seconds elapsed
 -- 0.00019791 seconds elapsed
 -- 0.000239298 seconds elapsed
 -- 0.000270967 seconds elapsed
 -- 0.000212337 seconds elapsed
 -- 0.000203441 seconds elapsed
 -- 0.000189845 seconds elapsed
 -- 0.000204633 seconds elapsed
 -- 0.000187821 seconds elapsed
 -- 0.000186439 seconds elapsed
 -- 0.000193331 seconds elapsed
 -- 0.000202609 seconds elapsed
 -- 0.000212137 seconds elapsed
 -- 0.000210975 seconds elapsed
 -- 0.000218508 seconds elapsed
 -- 0.000220853 seconds elapsed
 -- 0.000207077 seconds elapsed
 -- 0.000193943 seconds elapsed
 -- 0.000187641 seconds elapsed
 -- 0.000196647 seconds elapsed
 -- 0.000194554 seconds elapsed
 -- 0.000183904 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.