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Quelle gradedmodules15.tst
Sprache: unbekannt
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# GradedModules, single 15
#
# 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("gradedmodules15.tst");
# doc/../examples/doc/TateResolution.g:109-129
gap> U1 := cotangent * S^1;
<A graded non-torsion left module presented by 4 relations for 6 generators>
gap> T1 := TateResolution( U1, -5, 5 );
<An acyclic cocomplex containing
10 morphisms of graded left modules at degrees [ -5 .. 5 ]>
gap> betti1 := BettiTable( T1 );
<A Betti diagram of <An acyclic cocomplex containing
10 morphisms of graded left modules at degrees [ -5 .. 5 ]>>
gap> Display( betti1 );
total: 120 70 36 15 4 1 6 20 45 84 140 ? ? ?
-----------|----|----|----|----|----|----|----|----|----|----|----|----|----|
3: 120 70 36 15 4 . . . . . . 0 0 0
2: * . . . . . . . . . . . 0 0
1: * * . . . . . 1 . . . . . 0
0: * * * . . . . . . 6 20 45 84 140
-----------|----|----|----|----|----|----|----|----|----S----|----|----|----|
twist: -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
-----------------------------------------------------------------------------
Euler: -120 -70 -36 -15 -4 0 0 -1 0 6 20 45 84 140
#
gap> STOP_TEST("gradedmodules15.tst", 1);
[ Dauer der Verarbeitung: 0.15 Sekunden
(vorverarbeitet)
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2026-03-28
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