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3 vertices of polyhedron
0 extreme rays of recession cone
3 support hyperplanes of polyhedron (homogenized)
embedding dimension = 3
affine dimension of the polyhedron = 2 (maximal)
rank of recession monoid = 0 (polyhedron is polytope)
internal index = 15
size of triangulation = 1
resulting sum of |det|s = 15
dehomogenization:
0 0 1
Weighted Ehrhart series:
-1 -1 -243 -28 -707 -932 -7295 -202 -7963 -16821 -46324 -7083 -47260 -75946 -204427 -40344 -118130 -311050 -612483 3521 -395278 -843516 -1110154 -121555 -926766 -1273327 -2080542 -362431 -1040786 -2200393 -3095094 134801 -1725794 -2980655 -2822488 -142029 -2217716 -2306933 -2898966 -392963 -1413040 -2114089 -2454022 205987 -1246376 -1579905 -1184228 29535 -885785 -618044 -639119 -52785 -308947 -272663 -277707 35989 -124619 -93336 -55364 6892 -37032 -11189 -9663 -89 -4150 -713 -759 64 -130 -7 -2
Common denominator of coefficients: 1
Series denominator with 8 factors:
1:1 2:1 12:6
shift = 2
degree of weighted Ehrhart series as rational function = -3
Expansion of weighted Ehrhart series
2: -1
3: -2
4: -246
5: -275
6: -1226
7: -2187
8: -10433
9: -11596
10: -27805
11: -45789
12: -108322
Common denominator of coefficients: = 1
Weighted Ehrhart series with cyclotomic denominator:
-1 -7 -270 -1557 -6112 -18086 -49651 -122957 -273914 -532596 -920135 -1438520 -2090015 -2834874 -3584981 -4189870 -4535739 -4576125 -4346826 -3880606 -3235830 -2484701 -1753577 -1137214 -684948 -378881 -190855 -83993 -32747 -11191 -3623 -963 -214 -19 -2
Common denominator of coefficients = 1
Series cyclotomic denominator:
1:8 2:7 3:6 4:6
Weighted Ehrhart quasi-polynomial of period 12:
0: 0 101772288 42329952 -11592504 -7856100 -1154160 -142436 -22605
1: 71639953 -80870403 -2027991 12275473 -294525 -603393 -96509 -22605
2: -93231488 51555744 29564304 -9768136 -2452380 -450660 -142436 -22605
3: -68324067 -111211623 -3153087 19918521 2171295 -802053 -96509 -22605
4: -17841152 93106176 49211232 -10295096 -8178660 -1261680 -142436 -22605
5: 72672145 -60205059 -1834455 12067601 -79485 -710913 -96509 -22605
6: -76422528 39556512 22489488 -10857672 -2344860 -235620 -142436 -22605
7: -86165219 -119877735 3728193 21215929 1848735 -909573 -96509 -22605
8: -16808960 113771520 49404768 -10502968 -7963620 -1369200 -142436 -22605
9: 89481105 -72204291 -8909271 10978065 28035 -495873 -96509 -22605
10: -94263680 30890400 29370768 -9560264 -2667420 -343140 -142436 -22605
11: -85133027 -99212391 3921729 21008057 2063775 -1017093 -96509 -22605
with common denominator: 15676416
Degree of (quasi)polynomial: 7
Expected degree = 7
Virtual multiplicity = -37675/5184
Virtual multiplicity (float) = -7.26755401235
***********************************************************************
3 vertices of polyhedron:
-1 -1 3
1 -2 4
1 1 2
0 extreme rays of recession cone:
3 support hyperplanes of polyhedron (homogenized):
-8 2 3
1 -1 0
2 7 3
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