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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)
 -- 0.00804413 seconds elapsed
 -- 0.0298156 seconds elapsed
 -- 0.000234 seconds elapsed
 -- 0.0002068 seconds elapsed
 -- 0.00017908 seconds elapsed
 -- 0.000201561 seconds elapsed
 -- 0.00018464 seconds elapsed
 -- 0.000186241 seconds elapsed
 -- 0.00018636 seconds elapsed
 -- 0.00020456 seconds elapsed
 -- 0.000195161 seconds elapsed
 -- 0.00017548 seconds elapsed
 -- 0.0001832 seconds elapsed
 -- 0.00017472 seconds elapsed
 -- 0.00017556 seconds elapsed
 -- 0.00024924 seconds elapsed
 -- 0.00019476 seconds elapsed
 -- 0.000197761 seconds elapsed
 -- 0.00018664 seconds elapsed
 -- 0.0001746 seconds elapsed
 -- 0.000184441 seconds elapsed
 -- 0.00019064 seconds elapsed
 -- 0.000174761 seconds elapsed
 -- 0.00016656 seconds elapsed
 -- 0.00015616 seconds elapsed
 -- 0.00016456 seconds elapsed
 -- 0.00016184 seconds elapsed
 -- 0.000157921 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.