base,dim,rep_code,label,orbit_size,popcount,gf2_degree,gfq_degree,intmobius_degree,fill_poly,fill_deg,fill_lead,fill_n1,fill_n2,fill_n3,fill_n4,fill_n5,fill_n6,fill_n7,fill_n8,fill_n9,fill_n10,fill_n11,fill_n12,void_n1,void_n2,void_n3,void_n4,void_n5,void_n6,void_n7,void_n8,void_n9,void_n10,void_n11,void_n12 2,2,0,,1,0,-1,-1,-1,0,-oo,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,9,16,25,36,49,64,81,100,121,144 2,2,1,,4,1,2,2,2,n≡0(mod 2): n**2/4 ; n≡1(mod 2): n**2/4 + n/2 + 1/4,2,1/4,1,1,4,4,9,9,16,16,25,25,36,36,0,3,5,12,16,27,33,48,56,75,85,108 2,2,3,tree,4,2,1,1,1,n≡0(mod 2): n**2/2 ; n≡1(mod 2): n**2/2 + n/2,2,1/2,1,2,6,8,15,18,28,32,45,50,66,72,0,2,3,8,10,18,21,32,36,50,55,72 2,2,6,void,2,2,1,1,2,n≡0(mod 2): n**2/2 ; n≡1(mod 2): n**2/2 - 1/2,2,1/2,0,2,4,8,12,18,24,32,40,50,60,72,1,2,5,8,13,18,25,32,41,50,61,72 2,2,7,net,4,3,2,2,2,n≡0(mod 2): 3*n**2/4 ; n≡1(mod 2): 3*n**2/4 + n/2 - 1/4,2,3/4,1,3,8,12,21,27,40,48,65,75,96,108,0,1,1,4,4,9,9,16,16,25,25,36 2,2,15,,1,4,0,0,0,n**2,2,1,1,4,9,16,25,36,49,64,81,100,121,144,0,0,0,0,0,0,0,0,0,0,0,0 2,3,0,,1,0,-1,-1,-1,0,-oo,0,0,0,0,0,0,0,0,0,0,0,0,0,1,8,27,64,125,216,343,512,729,1000,1331,1728 2,3,1,,8,1,3,3,3,n≡0(mod 2): n**3/8 ; n≡1(mod 2): n**3/8 + 3*n**2/8 + 3*n/8 + 1/8,3,1/8,1,1,8,8,27,27,64,64,125,125,216,216,0,7,19,56,98,189,279,448,604,875,1115,1512 2,3,3,tree,12,2,2,2,2,n≡0(mod 2): n**3/4 ; n≡1(mod 2): n**3/4 + n**2/2 + n/4,3,1/4,1,2,12,16,45,54,112,128,225,250,396,432,0,6,15,48,80,162,231,384,504,750,935,1296 2,3,6,,12,2,2,2,3,n≡0(mod 2): n**3/4 ; n≡1(mod 2): n**3/4 + n**2/4 - n/4 - 1/4,3,1/4,0,2,8,16,36,54,96,128,200,250,360,432,1,6,19,48,89,162,247,384,529,750,971,1296 2,3,7,,24,3,3,3,3,n≡0(mod 2): 3*n**3/8 ; n≡1(mod 2): 3*n**3/8 + 5*n**2/8 + n/8 - 1/8,3,3/8,1,3,16,24,63,81,160,192,325,375,576,648,0,5,11,40,62,135,183,320,404,625,755,1080 2,3,15,,6,4,1,1,1,n≡0(mod 2): n**3/2 ; n≡1(mod 2): n**3/2 + n**2/2,3,1/2,1,4,18,32,75,108,196,256,405,500,726,864,0,4,9,32,50,108,147,256,324,500,605,864 2,3,22,,8,3,3,3,3,n≡0(mod 2): 3*n**3/8 ; n≡1(mod 2): 3*n**3/8 + 3*n**2/8 - 3*n/8 - 3/8,3,3/8,0,3,12,24,54,81,144,192,300,375,540,648,1,5,15,40,71,135,199,320,429,625,791,1080 2,3,23,net,8,4,2,2,3,n≡0(mod 2): n**3/2 ; n≡1(mod 2): n**3/2 + 3*n**2/4 - 1/4,3,1/2,1,4,20,32,81,108,208,256,425,500,756,864,0,4,7,32,44,108,135,256,304,500,575,864 2,3,24,void,4,2,2,2,2,n≡0(mod 2): n**3/4 ; n≡1(mod 2): n**3/4 - n/4,3,1/4,0,2,6,16,30,54,84,128,180,250,330,432,1,6,21,48,95,162,259,384,549,750,1001,1296 2,3,25,,24,3,3,3,3,n≡0(mod 2): 3*n**3/8 ; n≡1(mod 2): 3*n**3/8 + 3*n**2/8 + n/8 + 1/8,3,3/8,1,3,14,24,57,81,148,192,305,375,546,648,0,5,13,40,68,135,195,320,424,625,785,1080 2,3,27,,24,4,2,2,2,n≡0(mod 2): n**3/2 ; n≡1(mod 2): n**3/2 + n**2/2,3,1/2,1,4,18,32,75,108,196,256,405,500,726,864,0,4,9,32,50,108,147,256,324,500,605,864 2,3,30,,24,4,2,2,3,n≡0(mod 2): n**3/2 ; n≡1(mod 2): n**3/2 + n**2/4 - n/2 - 1/4,3,1/2,0,4,14,32,66,108,180,256,380,500,690,864,1,4,13,32,59,108,163,256,349,500,641,864 2,3,31,,24,5,3,3,3,n≡0(mod 2): 5*n**3/8 ; n≡1(mod 2): 5*n**3/8 + 5*n**2/8 - n/8 - 1/8,3,5/8,1,5,22,40,93,135,244,320,505,625,906,1080,0,3,5,24,32,81,99,192,224,375,425,648 2,3,60,,6,4,1,1,2,n≡0(mod 2): n**3/2 ; n≡1(mod 2): n**3/2 - n/2,3,1/2,0,4,12,32,60,108,168,256,360,500,660,864,1,4,15,32,65,108,175,256,369,500,671,864 2,3,61,,24,5,3,3,3,n≡0(mod 2): 5*n**3/8 ; n≡1(mod 2): 5*n**3/8 + 3*n**2/8 - n/8 + 1/8,3,5/8,1,5,20,40,87,135,232,320,485,625,876,1080,0,3,7,24,38,81,111,192,244,375,455,648 2,3,63,,12,6,2,2,2,n≡0(mod 2): 3*n**3/4 ; n≡1(mod 2): 3*n**3/4 + n**2/2 - n/4,3,3/4,1,6,24,48,105,162,280,384,585,750,1056,1296,0,2,3,16,20,54,63,128,144,250,275,432 2,3,105,,2,4,1,1,3,n≡0(mod 2): n**3/2 ; n≡1(mod 2): n**3/2 + 1/2,3,1/2,1,4,14,32,63,108,172,256,365,500,666,864,0,4,13,32,62,108,171,256,364,500,665,864 2,3,107,,8,5,3,3,3,n≡0(mod 2): 5*n**3/8 ; n≡1(mod 2): 5*n**3/8 + n**2/8 - n/8 + 3/8,3,5/8,1,5,18,40,81,135,220,320,465,625,846,1080,0,3,9,24,44,81,123,192,264,375,485,648 2,3,111,,12,6,2,2,3,n≡0(mod 2): 3*n**3/4 ; n≡1(mod 2): 3*n**3/4 + n**2/4 - n/4 + 1/4,3,3/4,1,6,22,48,99,162,268,384,565,750,1026,1296,0,2,5,16,26,54,75,128,164,250,305,432 2,3,126,,4,6,2,2,2,n≡0(mod 2): 3*n**3/4 ; n≡1(mod 2): 3*n**3/4 - 3*n/4,3,3/4,0,6,18,48,90,162,252,384,540,750,990,1296,1,2,9,16,35,54,91,128,189,250,341,432 2,3,127,,8,7,3,3,3,n≡0(mod 2): 7*n**3/8 ; n≡1(mod 2): 7*n**3/8 + 3*n**2/8 - 3*n/8 + 1/8,3,7/8,1,7,26,56,117,189,316,448,665,875,1206,1512,0,1,1,8,8,27,27,64,64,125,125,216 2,3,255,,1,8,0,0,0,n**3,3,1,1,8,27,64,125,216,343,512,729,1000,1331,1728,0,0,0,0,0,0,0,0,0,0,0,0 3,2,0,,1,0,,-1,-1,0,-oo,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,9,16,25,36,49,64,81,100,121,144 3,2,1,,9,1,,4,2,n≡0(mod 3): n**2/9 ; n≡1(mod 3): n**2/9 + 4*n/9 + 4/9 ; n≡2(mod 3): n**2/9 + 2*n/9 + 1/9,2,1/9,1,1,1,4,4,4,9,9,9,16,16,16,0,3,8,12,21,32,40,55,72,84,105,128 3,2,3,,18,2,,4,3,n≡0(mod 3): 2*n**2/9 ; n≡1(mod 3): 2*n**2/9 + 5*n/9 + 2/9 ; n≡2(mod 3): 2*n**2/9 + 4*n/9 + 2/9,2,2/9,1,2,2,6,8,8,15,18,18,28,32,32,0,2,7,10,17,28,34,46,63,72,89,112 3,2,7,tree,6,3,,2,1,n≡0(mod 3): n**2/3 ; n≡1(mod 3): n**2/3 + 2*n/3 ; n≡2(mod 3): n**2/3 + n/3,2,1/3,1,2,3,8,10,12,21,24,27,40,44,48,0,2,6,8,15,24,28,40,54,60,77,96 3,2,10,,18,2,,4,3,n≡0(mod 3): 2*n**2/9 ; n≡1(mod 3): 2*n**2/9 + 2*n/9 - 4/9 ; n≡2(mod 3): 2*n**2/9 + 4*n/9 + 2/9,2,2/9,0,2,2,4,8,8,12,18,18,24,32,32,1,2,7,12,17,28,37,46,63,76,89,112 3,2,11,carpet,36,3,,3,3,n≡0(mod 3): n**2/3 ; n≡1(mod 3): n**2/3 + 2*n/3 ; n≡2(mod 3): n**2/3 + 2*n/3 + 1/3,2,1/3,1,3,3,8,12,12,21,27,27,40,48,48,0,1,6,8,13,24,28,37,54,60,73,96 3,2,14,,36,3,,3,3,n≡0(mod 3): n**2/3 ; n≡1(mod 3): n**2/3 + n/3 - 2/3 ; n≡2(mod 3): n**2/3 + n/3,2,1/3,0,2,3,6,10,12,18,24,27,36,44,48,1,2,6,10,15,24,31,40,54,64,77,96 3,2,15,,36,4,,4,3,n≡0(mod 3): 4*n**2/9 ; n≡1(mod 3): 4*n**2/9 + 7*n/9 - 2/9 ; n≡2(mod 3): 4*n**2/9 + 5*n/9 + 1/9,2,4/9,1,3,4,10,14,16,27,33,36,52,60,64,0,1,5,6,11,20,22,31,45,48,61,80 3,2,27,,9,4,,4,4,n≡0(mod 3): 4*n**2/9 ; n≡1(mod 3): 4*n**2/9 + 4*n/9 + 1/9 ; n≡2(mod 3): 4*n**2/9 + 8*n/9 + 4/9,2,4/9,1,4,4,9,16,16,25,36,36,49,64,64,0,0,5,7,9,20,24,28,45,51,57,80 3,2,29,,36,4,,4,4,n≡0(mod 3): 4*n**2/9 ; n≡1(mod 3): 4*n**2/9 + 4*n/9 + 1/9 ; n≡2(mod 3): 4*n**2/9 + 5*n/9 + 1/9,2,4/9,1,3,4,9,14,16,25,33,36,49,60,64,0,1,5,7,11,20,24,31,45,51,61,80 3,2,31,,36,5,,4,4,n≡0(mod 3): 5*n**2/9 ; n≡1(mod 3): 5*n**2/9 + 5*n/9 - 1/9 ; n≡2(mod 3): 5*n**2/9 + 7*n/9 + 2/9,2,5/9,1,4,5,11,18,20,31,42,45,61,76,80,0,0,4,5,7,16,18,22,36,39,45,64 3,2,63,,6,6,,2,2,n≡0(mod 3): 2*n**2/3 ; n≡1(mod 3): 2*n**2/3 + n/3 ; n≡2(mod 3): 2*n**2/3 + 2*n/3,2,2/3,1,4,6,12,20,24,35,48,54,70,88,96,0,0,3,4,5,12,14,16,27,30,33,48 3,2,78,,9,4,,4,2,n≡0(mod 3): 4*n**2/9 ; n≡1(mod 3): 4*n**2/9 + 4*n/9 - 8/9 ; n≡2(mod 3): 4*n**2/9 + 2*n/9 - 2/9,2,4/9,0,2,4,8,12,16,24,30,36,48,56,64,1,2,5,8,13,20,25,34,45,52,65,80 3,2,79,,9,5,,4,2,n≡0(mod 3): 5*n**2/9 ; n≡1(mod 3): 5*n**2/9 + 8*n/9 - 4/9 ; n≡2(mod 3): 5*n**2/9 + 4*n/9 - 1/9,2,5/9,1,3,5,12,16,20,33,39,45,64,72,80,0,1,4,4,9,16,16,25,36,36,49,64 3,2,84,void,6,3,,2,4,n≡0(mod 3): n**2/3 ; n≡1(mod 3): n**2/3 - 1/3 ; n≡2(mod 3): n**2/3 - 1/3,2,1/3,0,1,3,5,8,12,16,21,27,33,40,48,1,3,6,11,17,24,33,43,54,67,81,96 3,2,85,,36,4,,4,4,n≡0(mod 3): 4*n**2/9 ; n≡1(mod 3): 4*n**2/9 + 4*n/9 + 1/9 ; n≡2(mod 3): 4*n**2/9 + 2*n/9 - 2/9,2,4/9,1,2,4,9,12,16,25,30,36,49,56,64,0,2,5,7,13,20,24,34,45,51,65,80 3,2,87,,36,5,,4,4,n≡0(mod 3): 5*n**2/9 ; n≡1(mod 3): 5*n**2/9 + 5*n/9 - 1/9 ; n≡2(mod 3): 5*n**2/9 + 4*n/9 - 1/9,2,5/9,1,3,5,11,16,20,31,39,45,61,72,80,0,1,4,5,9,16,18,25,36,39,49,64 3,2,94,,36,5,,4,4,n≡0(mod 3): 5*n**2/9 ; n≡1(mod 3): 5*n**2/9 + 2*n/9 - 7/9 ; n≡2(mod 3): 5*n**2/9 + 4*n/9 - 1/9,2,5/9,0,3,5,9,16,20,28,39,45,57,72,80,1,1,4,7,9,16,21,25,36,43,49,64 3,2,95,,36,6,,3,4,n≡0(mod 3): 2*n**2/3 ; n≡1(mod 3): 2*n**2/3 + 2*n/3 - 1/3 ; n≡2(mod 3): 2*n**2/3 + 2*n/3,2,2/3,1,4,6,13,20,24,37,48,54,73,88,96,0,0,3,3,5,12,12,16,27,27,33,48 3,2,118,,9,5,,4,3,n≡0(mod 3): 5*n**2/9 ; n≡1(mod 3): 5*n**2/9 - n/9 - 4/9 ; n≡2(mod 3): 5*n**2/9 + n/9 - 4/9,2,5/9,0,2,5,8,14,20,26,36,45,54,68,80,1,2,4,8,11,16,23,28,36,46,53,64 3,2,119,,36,6,,3,3,n≡0(mod 3): 2*n**2/3 ; n≡1(mod 3): 2*n**2/3 + n/3 ; n≡2(mod 3): 2*n**2/3 + n/3 - 1/3,2,2/3,1,3,6,12,18,24,35,45,54,70,84,96,0,1,3,4,7,12,14,19,27,30,37,48 3,2,127,,18,7,,4,3,n≡0(mod 3): 7*n**2/9 ; n≡1(mod 3): 7*n**2/9 + 4*n/9 - 2/9 ; n≡2(mod 3): 7*n**2/9 + 5*n/9 - 2/9,2,7/9,1,4,7,14,22,28,41,54,63,82,100,112,0,0,2,2,3,8,8,10,18,18,21,32 3,2,238,,6,6,,2,4,n≡0(mod 3): 2*n**2/3 ; n≡1(mod 3): 2*n**2/3 - 2/3 ; n≡2(mod 3): 2*n**2/3 - 2/3,2,2/3,0,2,6,10,16,24,32,42,54,66,80,96,1,2,3,6,9,12,17,22,27,34,41,48 3,2,239,,18,7,,4,4,n≡0(mod 3): 7*n**2/9 ; n≡1(mod 3): 7*n**2/9 + 4*n/9 - 2/9 ; n≡2(mod 3): 7*n**2/9 + 2*n/9 - 5/9,2,7/9,1,3,7,14,20,28,41,51,63,82,96,112,0,1,2,2,5,8,8,13,18,18,25,32 3,2,255,net,9,8,,4,4,n≡0(mod 3): 8*n**2/9 ; n≡1(mod 3): 8*n**2/9 + 2*n/9 - 1/9 ; n≡2(mod 3): 8*n**2/9 + 4*n/9 - 4/9,2,8/9,1,4,8,15,24,32,45,60,72,91,112,128,0,0,1,1,1,4,4,4,9,9,9,16 3,2,511,,1,9,,0,0,n**2,2,1,1,4,9,16,25,36,49,64,81,100,121,144,0,0,0,0,0,0,0,0,0,0,0,0 3,3,523,carpet,216,4,,6,4,n≡0(mod 3): 4*n**3/27 ; n≡1(mod 3): 4*n**3/27 + 5*n**2/9 + 4*n/9 - 4/27 ; n≡2(mod 3): 4*n**3/27 + 4*n**2/9 + 4*n/9 + 4/27,3,4/27,1,4,4,20,32,32,81,108,108,208,256,256,0,4,23,44,93,184,262,404,621,792,1075,1472 3,3,25034751,net,216,23,,6,6,n≡0(mod 3): 23*n**3/27 ; n≡1(mod 3): 23*n**3/27 + 4*n**2/9 - 4*n/9 + 4/27 ; n≡2(mod 3): 23*n**3/27 + 5*n**2/9 - 4*n/9 - 4/27,3,23/27,1,8,23,60,118,184,311,468,621,892,1196,1472,0,0,4,4,7,32,32,44,108,108,135,256 3,3,270592,void,36,3,,4,6,n≡0(mod 3): n**3/9 ; n≡1(mod 3): n**3/9 - 1/9 ; n≡2(mod 3): n**3/9 + 1/9,3,1/9,0,1,3,7,14,24,38,57,81,111,148,192,1,7,24,57,111,192,305,455,648,889,1183,1536 3,3,7,tree,27,3,,4,2,n≡0(mod 3): n**3/9 ; n≡1(mod 3): n**3/9 + 4*n**2/9 + 4*n/9 ; n≡2(mod 3): n**3/9 + 2*n**2/9 + n/9,3,1/9,1,2,3,16,20,24,63,72,81,160,176,192,0,6,24,48,105,192,280,440,648,840,1155,1536