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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)
 -- 0.0288608 seconds elapsed
 -- 0.0172826 seconds elapsed
 -- 0.000286229 seconds elapsed
 -- 0.000703203 seconds elapsed
 -- 0.000786354 seconds elapsed
 -- 0.00224505 seconds elapsed
 -- 0.000145599 seconds elapsed
 -- 0.000154861 seconds elapsed
 -- 0.000355994 seconds elapsed
 -- 0.000169543 seconds elapsed
 -- 0.000173 seconds elapsed
 -- 0.00014335 seconds elapsed
 -- 0.000127569 seconds elapsed
 -- 0.000138858 seconds elapsed
 -- 0.000129518 seconds elapsed
 -- 0.000159806 seconds elapsed
 -- 0.000152522 seconds elapsed
 -- 0.000133684 seconds elapsed
 -- 0.000285772 seconds elapsed
 -- 0.000206795 seconds elapsed
 -- 0.000157954 seconds elapsed
 -- 0.000265579 seconds elapsed
 -- 0.00032139 seconds elapsed
 -- 0.000131489 seconds elapsed
 -- 0.00023955 seconds elapsed
 -- 0.000217314 seconds elapsed
 -- 0.000141143 seconds elapsed
 -- 0.000258504 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.