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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)
     -- 0.0210014 seconds elapsed
     -- 0.0457037 seconds elapsed
(number Of blocks, 26)
     -- 0.000368624 seconds elapsed
1
     -- 0.000340064 seconds elapsed
1
     -- 0.000306643 seconds elapsed
1
     -- 0.000338563 seconds elapsed
1
     -- 0.000290923 seconds elapsed
2
     -- 0.000307163 seconds elapsed
 2
2
     -- 0.000416684 seconds elapsed
 2
2
     -- 0.000392704 seconds elapsed
 2
2 3
     -- 0.000379784 seconds elapsed
 2
2 3
     -- 0.000319983 seconds elapsed
 2
2 3
     -- 0.000304403 seconds elapsed
 2
2
     -- 0.000305223 seconds elapsed
 2
2
     -- 0.000348804 seconds elapsed
2
     -- 0.000348263 seconds elapsed
2
     -- 0.000313543 seconds elapsed
 2
2
     -- 0.000295463 seconds elapsed
 2
2
     -- 0.000338463 seconds elapsed
 2
2 3
     -- 0.000379204 seconds elapsed
 2
2 3
     -- 0.000379484 seconds elapsed
 2
2 3
     -- 0.000344844 seconds elapsed
 2
2
     -- 0.000327344 seconds elapsed
 2
2
     -- 0.000348304 seconds elapsed
2
     -- 0.000304063 seconds elapsed
1
     -- 0.000304244 seconds elapsed
1
     -- 0.000345664 seconds elapsed
1
     -- 0.000293543 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :