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# GradedModules, single 18
#
# 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("gradedmodules18.tst");
# doc/../examples/doc/TateResolution.g:201-222
gap> u2 := GradedHom( U1, S^(-1) );
<A graded torsion-free right module on 4 generators satisfying yet unknown rel\
ations>
gap> t2 := TateResolution( u2, -5, 5 );
<An acyclic cocomplex containing
10 morphisms of graded right modules at degrees [ -5 .. 5 ]>
gap> BettiTable( t2 );
<A Betti diagram of <An acyclic cocomplex containing
10 morphisms of graded right modules at degrees [ -5 .. 5 ]>>
gap> Display( last );
total: 140 84 45 20 6 1 4 15 36 70 120 ? ? ?
-----------|----|----|----|----|----|----|----|----|----|----|----|----|----|
3: 140 84 45 20 6 . . . . . . 0 0 0
2: * . . . . . 1 . . . . . 0 0
1: * * . . . . . . . . . . . 0
0: * * * . . . . . . 4 15 36 70 120
-----------|----|----|----|----|----|----|----|----|----S----|----|----|----|
twist: -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
-----------------------------------------------------------------------------
Euler: -140 -84 -45 -20 -6 0 1 0 0 4 15 36 70 120
#
gap> STOP_TEST("gradedmodules18.tst", 1);
[ Dauer der Verarbeitung: 0.16 Sekunden
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