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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)
 -- 0.00699102 seconds elapsed
 -- 0.0423025 seconds elapsed
 -- 0.000210245 seconds elapsed
 -- 0.000135925 seconds elapsed
 -- 0.000124876 seconds elapsed
 -- 0.000121237 seconds elapsed
 -- 0.00013879 seconds elapsed
 -- 0.000169888 seconds elapsed
 -- 0.000172695 seconds elapsed
 -- 0.000158538 seconds elapsed
 -- 0.000147426 seconds elapsed
 -- 0.000133881 seconds elapsed
 -- 0.000122611 seconds elapsed
 -- 0.000133751 seconds elapsed
 -- 0.000123453 seconds elapsed
 -- 0.000119736 seconds elapsed
 -- 0.000129964 seconds elapsed
 -- 0.000153669 seconds elapsed
 -- 0.000129423 seconds elapsed
 -- 0.000135674 seconds elapsed
 -- 0.000142047 seconds elapsed
 -- 0.000132468 seconds elapsed
 -- 0.000125406 seconds elapsed
 -- 0.000228139 seconds elapsed
 -- 0.000119644 seconds elapsed
 -- 0.000130105 seconds elapsed
 -- 0.000133941 seconds elapsed
 -- 0.000119024 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.