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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)
 -- 0.0109021 seconds elapsed
 -- 0.0311942 seconds elapsed
 -- 0.000228816 seconds elapsed
 -- 0.000219302 seconds elapsed
 -- 0.000184076 seconds elapsed
 -- 0.000185016 seconds elapsed
 -- 0.000195769 seconds elapsed
 -- 0.000200288 seconds elapsed
 -- 0.000216074 seconds elapsed
 -- 0.000221712 seconds elapsed
 -- 0.000218606 seconds elapsed
 -- 0.000206592 seconds elapsed
 -- 0.000197556 seconds elapsed
 -- 0.000187904 seconds elapsed
 -- 0.000174318 seconds elapsed
 -- 0.000178363 seconds elapsed
 -- 0.000198765 seconds elapsed
 -- 0.00018192 seconds elapsed
 -- 0.00021593 seconds elapsed
 -- 0.000204301 seconds elapsed
 -- 0.000208954 seconds elapsed
 -- 0.000198222 seconds elapsed
 -- 0.000207186 seconds elapsed
 -- 0.000198312 seconds elapsed
 -- 0.000173286 seconds elapsed
 -- 0.000193469 seconds elapsed
 -- 0.000191406 seconds elapsed
 -- 0.000183643 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.