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# GradedModules, single 17
#
# DO NOT EDIT THIS FILE - EDIT EXAMPLES IN THE SOURCE INSTEAD!
#
# This file has been generated by AutoDoc. It contains examples extracted from
# the package documentation. Each example is preceded by a comment which gives
# the name of a GAPDoc XML file and a line range from which the example were
# taken. Note that the XML file in turn may have been generated by AutoDoc
# from some other input.
#
gap> START_TEST("gradedmodules17.tst");
# doc/../examples/doc/TateResolution.g:167-191
gap> U3 := SyzygiesObject( 4, k ) * S^3;
<A graded free left module of rank 1 on a free generator>
gap> Display( U3 );
Q[x0,x1,x2,x3]^(1 x 1)
(graded, degree of generator: 1)
gap> T3 := TateResolution( U3, -5, 5 );
<An acyclic cocomplex containing
10 morphisms of graded left modules at degrees [ -5 .. 5 ]>
gap> betti3 := BettiTable( T3 );
<A Betti diagram of <An acyclic cocomplex containing
10 morphisms of graded left modules at degrees [ -5 .. 5 ]>>
gap> Display( betti3 );
total: 56 35 20 10 4 1 1 4 10 20 35 ? ? ?
----------|---|---|---|---|---|---|---|---|---|---|---|---|---|
3: 56 35 20 10 4 1 . . . . . 0 0 0
2: * . . . . . . . . . . . 0 0
1: * * . . . . . . . . . . . 0
0: * * * . . . . . . 1 4 10 20 35
----------|---|---|---|---|---|---|---|---|---S---|---|---|---|
twist: -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
---------------------------------------------------------------
Euler: -56 -35 -20 -10 -4 -1 0 0 0 1 4 10 20 35
#
gap> STOP_TEST("gradedmodules17.tst", 1);
[ Dauer der Verarbeitung: 0.18 Sekunden
(vorverarbeitet)
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