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0 lattice points in polytope (module generators)
12 vertices of polyhedron
0 extreme rays of recession cone
7 support hyperplanes of polyhedron (homogenized)
embedding dimension = 11
affine dimension of the polyhedron = 4
rank of recession monoid = 0 (polyhedron is polytope)
dehomogenization:
0 0 0 0 0 0 0 0 0 0 1
module rank = 0
volume (lattice normalized) = 963211936/477329855712890625
volume (normalized, float) = 2.01791680213e-09
volume (Euclidean) = 38.4510625351
***********************************************************************
12 vertices of polyhedron:
0 0 57800 0 650250 1610835 0 6495275 16108350 46451247 614125
0 0 57800 1842375 0 1840335 0 6430250 16154250 46426947 614125
0 0 173400 5527125 0 5521005 54657125 0 55271250 136877841 1842375
0 0 346800 0 3901500 9665010 110419675 0 110404800 273852882 3684750
0 1700 0 18955 0 19125 189142 0 191250 473625 6375
0 491300 0 0 1933410 4844745 0 19485825 48325662 139353093 1842375
0 491300 0 5477995 0 5527125 0 19292484 48462138 139280841 1842375
0 982600 0 0 3866820 9689490 110419675 0 110406024 273851586 3684750
136 0 0 153 0 153 1513 0 1530 3789 51
39304 0 0 44217 0 44217 0 154326 387702 1114245 14739
196520 0 0 0 78030 193545 0 779433 1933002 5574141 73695
393040 0 0 0 156060 387090 4416787 0 4416192 10954098 147390
0 extreme rays of recession cone:
7 support hyperplanes of polyhedron (homogenized):
0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 1 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0
6 equations:
3 0 1 0 -1 -1 3000 25390 71645 67405 -7246150
0 3 0 0 1 0 -300 -1690 -2380 0 80300
0 0 3 0 0 1 0 -300 -1690 -2380 227517
0 0 0 3 0 0 30 85 0 0 -899
0 0 0 0 3 0 0 30 85 0 -2550
0 0 0 0 0 3 0 0 30 85 -7224
5 basis elements of generated lattice:
1 0 25 203 210 723 -1045 3175 6852 20163 266
0 25 50 -40 675 1635 -1426 7115 16215 47337 625
0 0 200 170 2190 5595 221 22391 55770 160719 2125
0 0 0 1445 -510 180 2023 -765 288 -108 0
0 0 0 0 0 0 4913 -1734 612 -216 0
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