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K3Carpets :: carpetDet

carpetDet

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)
     -- 0.0413833 seconds elapsed
     -- 0.0276158 seconds elapsed
(number Of blocks, 26)
     -- 0.000168824 seconds elapsed
1
     -- 0.000109353 seconds elapsed
1
     -- 0.000112755 seconds elapsed
1
     -- 0.000142586 seconds elapsed
1
     -- 0.000106482 seconds elapsed
2
     -- 0.000111072 seconds elapsed
 2
2
     -- 0.000138652 seconds elapsed
 2
2
     -- 0.000143196 seconds elapsed
 2
2 3
     -- 0.000116323 seconds elapsed
 2
2 3
     -- 0.000145457 seconds elapsed
 2
2 3
     -- 0.000121672 seconds elapsed
 2
2
     -- 0.000169853 seconds elapsed
 2
2
     -- 0.000174505 seconds elapsed
2
     -- 0.000158122 seconds elapsed
2
     -- 0.000151499 seconds elapsed
 2
2
     -- 0.000133994 seconds elapsed
 2
2
     -- 0.000126406 seconds elapsed
 2
2 3
     -- 0.000119866 seconds elapsed
 2
2 3
     -- 0.000128938 seconds elapsed
 2
2 3
     -- 0.000117236 seconds elapsed
 2
2
     -- 0.000108563 seconds elapsed
 2
2
     -- 0.000143611 seconds elapsed
2
     -- 0.000118821 seconds elapsed
1
     -- 0.000111613 seconds elapsed
1
     -- 0.0001071 seconds elapsed
1
     -- 0.000104493 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :