# code is here:  http://pastebin.com/56G9Yxh2

(1, 1, 1) 1 myeq(+1) polytope* nullghost*
(1, 1, 1) 0 1 1 1
(2, 1, 1) 2 myeq(+2) polytope* nullghost*
(2, 1, 1) 0 2 2 2
(3, 1, 1) 3 myeq(+3) polytope* nullghost*
(3, 1, 1) 0 3 3 3
(4, 1, 1) 4 myeq(+4) polytope* nullghost*
(4, 1, 1) 0 4 4 4
(5, 1, 1) 5 myeq(+5) polytope* nullghost*
(5, 1, 1) 0 5 5 5
(6, 1, 1) 6 myeq(+6) polytope* nullghost*
(6, 1, 1) 0 6 6 6
(7, 1, 1) 7 myeq(+7) polytope* nullghost*
(7, 1, 1) 0 7 7 7
(8, 1, 1) 8 myeq(+8) polytope* nullghost*
(8, 1, 1) 0 8 8 8
(9, 1, 1) 9 myeq(+9) polytope* nullghost*
(9, 1, 1) 0 9 9 9
(1, 1, 2) 0 myeq* polytope* nullghost*
(1, 1, 2) 0 0 0 0
(2, 1, 2) 2 myeq* polytope* nullghost*
(2, 1, 2) 2 2 2 2
(3, 1, 2) 6 myeq* polytope* nullghost*
(3, 1, 2) 6 6 6 6
(4, 1, 2) 12 myeq* polytope* nullghost*
(4, 1, 2) 12 12 12 12
(5, 1, 2) 20 myeq* polytope* nullghost*
(5, 1, 2) 20 20 20 20
(6, 1, 2) 30 myeq* polytope* nullghost*
(6, 1, 2) 30 30 30 30
(7, 1, 2) 42 myeq* polytope* nullghost*
(7, 1, 2) 42 42 42 42
(8, 1, 2) 56 myeq* polytope* nullghost*
(8, 1, 2) 56 56 56 56
(9, 1, 2) 72 myeq* polytope* nullghost*
(9, 1, 2) 72 72 72 72
(1, 1, 3) 0 myeq* polytope* nullghost*
(1, 1, 3) 0 0 0 0
(2, 1, 3) 0 myeq(-6) polytope* nullghost(-4)
(2, 1, 3) 6 0 4 0
(3, 1, 3) 6 myeq(-18) polytope* nullghost(-12)
(3, 1, 3) 24 6 18 6
(4, 1, 3) 24 myeq(-36) polytope* nullghost(-24)
(4, 1, 3) 60 24 48 24
(5, 1, 3) 60 myeq(-60) polytope* nullghost(-40)
(5, 1, 3) 120 60 100 60
(6, 1, 3) 120 myeq(-90) polytope* nullghost(-60)
(6, 1, 3) 210 120 180 120
(7, 1, 3) 210 myeq(-126) polytope* nullghost(-84)
(7, 1, 3) 336 210 294 210
(8, 1, 3) 336 myeq(-168) polytope* nullghost(-112)
(8, 1, 3) 504 336 448 336
(9, 1, 3) 504 myeq(-216) polytope* nullghost(-144)
(9, 1, 3) 720 504 648 504
(1, 1, 4) 0 myeq* polytope* nullghost*
(1, 1, 4) 0 0 0 0
(2, 1, 4) 0 myeq(-14) polytope* nullghost(-8)
(2, 1, 4) 14 0 8 0
(3, 1, 4) 0 myeq(-78) polytope* nullghost(-54)
(3, 1, 4) 78 0 54 0
(4, 1, 4) 24 myeq(-228) polytope* nullghost(-168)
(4, 1, 4) 252 24 192 24
(5, 1, 4) 120 myeq(-500) polytope* nullghost(-380)
(5, 1, 4) 620 120 500 120
(6, 1, 4) 360 myeq(-930) polytope* nullghost(-720)
(6, 1, 4) 1290 360 1080 360
(7, 1, 4) 840 myeq(-1554) polytope* nullghost(-1218)
(7, 1, 4) 2394 840 2058 840
(8, 1, 4) 1680 myeq(-2408) polytope* nullghost(-1904)
(8, 1, 4) 4088 1680 3584 1680
(9, 1, 4) 3024 myeq(-3528) polytope* nullghost(-2808)
(9, 1, 4) 6552 3024 5832 3024
(1, 2, 1) 1 myeq(+1) polytope* nullghost*
(1, 2, 1) 0 1 1 1
(2, 2, 1) 2 myeq(+2) polytope* nullghost*
(2, 2, 1) 0 2 2 2
(3, 2, 1) 3 myeq(+3) polytope* nullghost*
(3, 2, 1) 0 3 3 3
(4, 2, 1) 4 myeq(+4) polytope* nullghost*
(4, 2, 1) 0 4 4 4
(5, 2, 1) 5 myeq(+5) polytope* nullghost*
(5, 2, 1) 0 5 5 5
(6, 2, 1) 6 myeq(+6) polytope* nullghost*
(6, 2, 1) 0 6 6 6
(7, 2, 1) 7 myeq(+7) polytope* nullghost*
(7, 2, 1) 0 7 7 7
(8, 2, 1) 8 myeq(+8) polytope* nullghost*
(8, 2, 1) 0 8 8 8
(9, 2, 1) 9 myeq(+9) polytope* nullghost*
(9, 2, 1) 0 9 9 9
(1, 2, 2) 1 myeq(+1) polytope* nullghost*
(1, 2, 2) 0 1 1 1
(2, 2, 2) 4 myeq(+2) polytope* nullghost*
(2, 2, 2) 2 4 4 4
(3, 2, 2) 9 myeq(+3) polytope* nullghost*
(3, 2, 2) 6 9 9 9
(4, 2, 2) 16 myeq(+4) polytope* nullghost*
(4, 2, 2) 12 16 16 16
(5, 2, 2) 25 myeq(+5) polytope* nullghost*
(5, 2, 2) 20 25 25 25
(6, 2, 2) 36 myeq(+6) polytope* nullghost*
(6, 2, 2) 30 36 36 36
(7, 2, 2) 49 myeq(+7) polytope* nullghost*
(7, 2, 2) 42 49 49 49
(8, 2, 2) 64 myeq(+8) polytope* nullghost*
(8, 2, 2) 56 64 64 64
(9, 2, 2) 81 myeq(+9) polytope* nullghost*
(9, 2, 2) 72 81 81 81
(1, 2, 3) 0 myeq* polytope* nullghost*
(1, 2, 3) 0 0 0 0
(2, 2, 3) 6 myeq* polytope* nullghost*
(2, 2, 3) 6 6 6 6
(3, 2, 3) 24 myeq* polytope* nullghost*
(3, 2, 3) 24 24 24 24
(4, 2, 3) 60 myeq* polytope* nullghost*
(4, 2, 3) 60 60 60 60
(5, 2, 3) 120 myeq* polytope* nullghost*
(5, 2, 3) 120 120 120 120
(6, 2, 3) 210 myeq* polytope* nullghost*
(6, 2, 3) 210 210 210 210
(7, 2, 3) 336 myeq* polytope* nullghost*
(7, 2, 3) 336 336 336 336
(8, 2, 3) 504 myeq* polytope* nullghost*
(8, 2, 3) 504 504 504 504
(9, 2, 3) 720 myeq* polytope* nullghost*
(9, 2, 3) 720 720 720 720
(1, 2, 4) 0 myeq* polytope* nullghost*
(1, 2, 4) 0 0 0 0
(2, 2, 4) 6 myeq(-8) polytope* nullghost(-6)
(2, 2, 4) 14 6 12 6
(3, 2, 4) 54 myeq(-24) polytope* nullghost(-18)
(3, 2, 4) 78 54 72 54
(4, 2, 4) 204 myeq(-48) polytope* nullghost(-36)
(4, 2, 4) 252 204 240 204
(5, 2, 4) 540 myeq(-80) polytope* nullghost(-60)
(5, 2, 4) 620 540 600 540
(6, 2, 4) 1170 myeq(-120) polytope* nullghost(-90)
(6, 2, 4) 1290 1170 1260 1170
(7, 2, 4) 2226 myeq(-168) polytope* nullghost(-126)
(7, 2, 4) 2394 2226 2352 2226
(8, 2, 4) 3864 myeq(-224) polytope* nullghost(-168)
(8, 2, 4) 4088 3864 4032 3864
(9, 2, 4) 6264 myeq(-288) polytope* nullghost(-216)
(9, 2, 4) 6552 6264 6480 6264
(1, 3, 1) 1 myeq(+1) polytope* nullghost*
(1, 3, 1) 0 1 1 1
(2, 3, 1) 2 myeq(+2) polytope* nullghost*
(2, 3, 1) 0 2 2 2
(3, 3, 1) 3 myeq(+3) polytope* nullghost*
(3, 3, 1) 0 3 3 3
(4, 3, 1) 4 myeq(+4) polytope* nullghost*
(4, 3, 1) 0 4 4 4
(5, 3, 1) 5 myeq(+5) polytope* nullghost*
(5, 3, 1) 0 5 5 5
(6, 3, 1) 6 myeq(+6) polytope* nullghost*
(6, 3, 1) 0 6 6 6
(7, 3, 1) 7 myeq(+7) polytope* nullghost*
(7, 3, 1) 0 7 7 7
(8, 3, 1) 8 myeq(+8) polytope* nullghost*
(8, 3, 1) 0 8 8 8
(9, 3, 1) 9 myeq(+9) polytope* nullghost*
(9, 3, 1) 0 9 9 9
(1, 3, 2) 1 myeq(+1) polytope* nullghost*
(1, 3, 2) 0 1 1 1
(2, 3, 2) 4 myeq(+2) polytope* nullghost*
(2, 3, 2) 2 4 4 4
(3, 3, 2) 9 myeq(+3) polytope* nullghost*
(3, 3, 2) 6 9 9 9
(4, 3, 2) 16 myeq(+4) polytope* nullghost*
(4, 3, 2) 12 16 16 16
(5, 3, 2) 25 myeq(+5) polytope* nullghost*
(5, 3, 2) 20 25 25 25
(6, 3, 2) 36 myeq(+6) polytope* nullghost*
(6, 3, 2) 30 36 36 36
(7, 3, 2) 49 myeq(+7) polytope* nullghost*
(7, 3, 2) 42 49 49 49
(8, 3, 2) 64 myeq(+8) polytope* nullghost*
(8, 3, 2) 56 64 64 64
(9, 3, 2) 81 myeq(+9) polytope* nullghost*
(9, 3, 2) 72 81 81 81
(1, 3, 3) 1 myeq(+1) polytope* nullghost*
(1, 3, 3) 0 1 1 1
(2, 3, 3) 8 myeq(+2) polytope* nullghost*
(2, 3, 3) 6 8 8 8
(3, 3, 3) 27 myeq(+3) polytope* nullghost*
(3, 3, 3) 24 27 27 27
(4, 3, 3) 64 myeq(+4) polytope* nullghost*
(4, 3, 3) 60 64 64 64
(5, 3, 3) 125 myeq(+5) polytope* nullghost*
(5, 3, 3) 120 125 125 125
(6, 3, 3) 216 myeq(+6) polytope* nullghost*
(6, 3, 3) 210 216 216 216
(7, 3, 3) 343 myeq(+7) polytope* nullghost*
(7, 3, 3) 336 343 343 343
(8, 3, 3) 512 myeq(+8) polytope* nullghost*
(8, 3, 3) 504 512 512 512
(9, 3, 3) 729 myeq(+9) polytope* nullghost*
(9, 3, 3) 720 729 729 729
(1, 3, 4) 0 myeq* polytope* nullghost*
(1, 3, 4) 0 0 0 0
(2, 3, 4) 14 myeq* polytope* nullghost*
(2, 3, 4) 14 14 14 14
(3, 3, 4) 78 myeq* polytope* nullghost*
(3, 3, 4) 78 78 78 78
(4, 3, 4) 252 myeq* polytope* nullghost*
(4, 3, 4) 252 252 252 252
(5, 3, 4) 620 myeq* polytope* nullghost*
(5, 3, 4) 620 620 620 620
(6, 3, 4) 1290 myeq* polytope* nullghost*
(6, 3, 4) 1290 1290 1290 1290
(7, 3, 4) 2394 myeq* polytope* nullghost*
(7, 3, 4) 2394 2394 2394 2394
(8, 3, 4) 4088 myeq* polytope* nullghost*
(8, 3, 4) 4088 4088 4088 4088
(9, 3, 4) 6552 myeq* polytope* nullghost*
(9, 3, 4) 6552 6552 6552 6552
(1, 4, 1) 1 myeq(+1) polytope* nullghost*
(1, 4, 1) 0 1 1 1
(2, 4, 1) 2 myeq(+2) polytope* nullghost*
(2, 4, 1) 0 2 2 2
(3, 4, 1) 3 myeq(+3) polytope* nullghost*
(3, 4, 1) 0 3 3 3
(4, 4, 1) 4 myeq(+4) polytope* nullghost*
(4, 4, 1) 0 4 4 4
(5, 4, 1) 5 myeq(+5) polytope* nullghost*
(5, 4, 1) 0 5 5 5
(6, 4, 1) 6 myeq(+6) polytope* nullghost*
(6, 4, 1) 0 6 6 6
(7, 4, 1) 7 myeq(+7) polytope* nullghost*
(7, 4, 1) 0 7 7 7
(8, 4, 1) 8 myeq(+8) polytope* nullghost*
(8, 4, 1) 0 8 8 8
(9, 4, 1) 9 myeq(+9) polytope* nullghost*
(9, 4, 1) 0 9 9 9
(1, 4, 2) 1 myeq(+1) polytope* nullghost*
(1, 4, 2) 0 1 1 1
(2, 4, 2) 4 myeq(+2) polytope* nullghost*
(2, 4, 2) 2 4 4 4
(3, 4, 2) 9 myeq(+3) polytope* nullghost*
(3, 4, 2) 6 9 9 9
(4, 4, 2) 16 myeq(+4) polytope* nullghost*
(4, 4, 2) 12 16 16 16
(5, 4, 2) 25 myeq(+5) polytope* nullghost*
(5, 4, 2) 20 25 25 25
(6, 4, 2) 36 myeq(+6) polytope* nullghost*
(6, 4, 2) 30 36 36 36
(7, 4, 2) 49 myeq(+7) polytope* nullghost*
(7, 4, 2) 42 49 49 49
(8, 4, 2) 64 myeq(+8) polytope* nullghost*
(8, 4, 2) 56 64 64 64
(9, 4, 2) 81 myeq(+9) polytope* nullghost*
(9, 4, 2) 72 81 81 81
(1, 4, 3) 1 myeq(+1) polytope* nullghost*
(1, 4, 3) 0 1 1 1
(2, 4, 3) 8 myeq(+2) polytope* nullghost*
(2, 4, 3) 6 8 8 8
(3, 4, 3) 27 myeq(+3) polytope* nullghost*
(3, 4, 3) 24 27 27 27
(4, 4, 3) 64 myeq(+4) polytope* nullghost*
(4, 4, 3) 60 64 64 64
(5, 4, 3) 125 myeq(+5) polytope* nullghost*
(5, 4, 3) 120 125 125 125
(6, 4, 3) 216 myeq(+6) polytope* nullghost*
(6, 4, 3) 210 216 216 216
(7, 4, 3) 343 myeq(+7) polytope* nullghost*
(7, 4, 3) 336 343 343 343
(8, 4, 3) 512 myeq(+8) polytope* nullghost*
(8, 4, 3) 504 512 512 512
(9, 4, 3) 729 myeq(+9) polytope* nullghost*
(9, 4, 3) 720 729 729 729
(1, 4, 4) 1 myeq(+1) polytope* nullghost*
(1, 4, 4) 0 1 1 1
(2, 4, 4) 16 myeq(+2) polytope* nullghost*
(2, 4, 4) 14 16 16 16
(3, 4, 4) 81 myeq(+3) polytope* nullghost*
(3, 4, 4) 78 81 81 81
(4, 4, 4) 256 myeq(+4) polytope* nullghost*
(4, 4, 4) 252 256 256 256
(5, 4, 4) 625 myeq(+5) polytope* nullghost*
(5, 4, 4) 620 625 625 625
(6, 4, 4) 1296 myeq(+6) polytope* nullghost*
(6, 4, 4) 1290 1296 1296 1296
(7, 4, 4) 2401 myeq(+7) polytope* nullghost*
(7, 4, 4) 2394 2401 2401 2401
(8, 4, 4) 4096 myeq(+8) polytope* nullghost*
(8, 4, 4) 4088 4096 4096 4096
(9, 4, 4) 6561 myeq(+9) polytope* nullghost*
(9, 4, 4) 6552 6561 6561 6561