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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)
 -- 0.024785 seconds elapsed
 -- 0.0159849 seconds elapsed
 -- 0.000144835 seconds elapsed
 -- 0.000146671 seconds elapsed
 -- 0.000139307 seconds elapsed
 -- 0.000133513 seconds elapsed
 -- 0.000139082 seconds elapsed
 -- 0.000142907 seconds elapsed
 -- 0.000162168 seconds elapsed
 -- 0.000162628 seconds elapsed
 -- 0.000149288 seconds elapsed
 -- 0.000143764 seconds elapsed
 -- 0.000139212 seconds elapsed
 -- 0.00014251 seconds elapsed
 -- 0.00014002 seconds elapsed
 -- 0.000136278 seconds elapsed
 -- 0.00014032 seconds elapsed
 -- 0.000139194 seconds elapsed
 -- 0.00014737 seconds elapsed
 -- 0.000148876 seconds elapsed
 -- 0.000157628 seconds elapsed
 -- 0.000149822 seconds elapsed
 -- 0.000140667 seconds elapsed
 -- 0.000138558 seconds elapsed
 -- 0.000133491 seconds elapsed
 -- 0.00014208 seconds elapsed
 -- 0.000133238 seconds elapsed
 -- 0.000131503 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.