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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)
 -- 0.00566751 seconds elapsed
 -- 0.0132325 seconds elapsed
 -- 0.000180185 seconds elapsed
 -- 0.000179319 seconds elapsed
 -- 0.000173781 seconds elapsed
 -- 0.000150537 seconds elapsed
 -- 0.000147503 seconds elapsed
 -- 0.000153681 seconds elapsed
 -- 0.000176178 seconds elapsed
 -- 0.000192652 seconds elapsed
 -- 0.000168184 seconds elapsed
 -- 0.000163134 seconds elapsed
 -- 0.000144099 seconds elapsed
 -- 0.000147003 seconds elapsed
 -- 0.000138638 seconds elapsed
 -- 0.000133752 seconds elapsed
 -- 0.000142425 seconds elapsed
 -- 0.000141999 seconds elapsed
 -- 0.000154409 seconds elapsed
 -- 0.000153739 seconds elapsed
 -- 0.000163916 seconds elapsed
 -- 0.000155394 seconds elapsed
 -- 0.000144986 seconds elapsed
 -- 0.000131762 seconds elapsed
 -- 0.000153855 seconds elapsed
 -- 0.000146858 seconds elapsed
 -- 0.000139697 seconds elapsed
 -- 0.000131508 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.