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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)
 -- 0.0317731 seconds elapsed
 -- 0.0443207 seconds elapsed
 -- 0.00026208 seconds elapsed
 -- 0.000125395 seconds elapsed
 -- 0.000115736 seconds elapsed
 -- 0.000118421 seconds elapsed
 -- 0.000119103 seconds elapsed
 -- 0.000131667 seconds elapsed
 -- 0.00016531 seconds elapsed
 -- 0.000157895 seconds elapsed
 -- 0.000128881 seconds elapsed
 -- 0.000129892 seconds elapsed
 -- 0.000120706 seconds elapsed
 -- 0.000119224 seconds elapsed
 -- 0.000132979 seconds elapsed
 -- 0.000115987 seconds elapsed
 -- 0.000157505 seconds elapsed
 -- 0.000122991 seconds elapsed
 -- 0.00013333 seconds elapsed
 -- 0.000136305 seconds elapsed
 -- 0.00013419 seconds elapsed
 -- 0.000138359 seconds elapsed
 -- 0.000119272 seconds elapsed
 -- 0.000393206 seconds elapsed
 -- 0.000123711 seconds elapsed
 -- 0.000126486 seconds elapsed
 -- 0.000132367 seconds elapsed
 -- 0.000127599 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.