| |
Polytopes for The Higman-Sims Group HS
The Higman-Sims Group HS has : - 465 rank 3 polytopes,
- 111 rank 4 polytopes,
- 4 rank 5 polytopes,
- and no higher rank polytopes.
Polytopes of rank 5
| index | Type | Facet Group | VF Group | Facet(Facet) | Facet(VF) | VF(VF) | Dual |
|---|
| hs[577] | {3,8,5,3} | Order 252000 | Order 7680 | Order 720 | Order 480 | Simple, Order 60 | hs[579] |
| hs[578] | {5,8,5,3} | Order 252000 | Order 7680 | Order 720 | Order 480 | Simple, Order 60 | hs[580] |
| hs[579] | {3,5,8,3} | Order 7680 | Order 252000 | Simple, Order 60 | Order 480 | Order 720 | hs[577] |
| hs[580] | {3,5,8,5} | Order 7680 | Order 252000 | Simple, Order 60 | Order 480 | Order 720 | hs[578] |
Polytopes of rank 4
| index | Type | Facet Group | VF Group | Dual |
|---|
| hs[466] | {4,6,6} | Order 336 | Order 40320 | hs[572] |
| hs[467] | {4,10,4} | Order 252000 | Order 1440 | hs[492] |
| hs[468] | {4,10,3} | Order 252000 | Order 360 | hs[565] |
| hs[469] | {4,8,4} | Order 252000 | Order 1440 | hs[493] |
| hs[470] | {6,6,4} | Order 1920 | Order 1440 | hs[517] |
| hs[471] | {3,8,6} | Order 336 | Order 40320 | hs[494] |
| hs[472] | {3,8,6} | Order 336 | Order 252000 | hs[495] |
| hs[473] | {8,12,4} | Order 252000 | Solvable, Order 1536 | hs[521] |
| hs[474] | {8,6,4} | Order 40320 | Order 2880 | hs[514] |
| hs[475] | {8,4,6} | Order 336 | Order 2880 | hs[571] |
| hs[476] | {8,6,6} | Order 336 | Order 7680 | hs[520] |
| hs[477] | {8,6,5} | Order 252000 | Order 120 | hs[527] |
| hs[478] | {8,8,3} | Order 252000 | Solvable, Order 192 | hs[564] |
| hs[479] | {8,10,3} | Order 252000 | Order 120 | hs[574] |
| hs[480] | {8,8,3} | Order 252000 | Order 1440 | hs[562] |
| hs[481] | {8,3,6} | Order 336 | Solvable, Order 192 | hs[544] |
| hs[482] | {8,3,5} | Order 336 | Order 120 | hs[529] |
| hs[483] | {8,8,4} | Order 252000 | Order 1440 | hs[569] |
| hs[484] | {10,6,6} | Order 5040 | Order 7680 | hs[518] |
| hs[485] | {10,12,4} | Order 252000 | Solvable, Order 1536 | hs[522] |
| hs[486] | {10,10,4} | Order 252000 | Order 1440 | hs[525] |
| hs[487] | {10,10,3} | Order 252000 | Order 120 | hs[573] |
| hs[488] | {10,6,3} | Order 252000 | Solvable, Order 192 | hs[566] |
| hs[489] | {10,5,6} | Order 5040 | Order 600 | hs[531] |
| hs[490] | {10,8,6} | Order 252000 | Solvable, Order 192 | hs[545] |
| hs[491] | {10,3,6} | Order 360 | Solvable, Order 192 | hs[543] |
| hs[492] | {4,10,4} | Order 1440 | Order 252000 | hs[467] |
| hs[493] | {4,8,4} | Order 1440 | Order 252000 | hs[469] |
| hs[494] | {6,8,3} | Order 40320 | Order 336 | hs[471] |
| hs[495] | {6,8,3} | Order 252000 | Order 336 | hs[472] |
| hs[496] | {6,10,5} | Order 252000 | Solvable, Order 320 | hs[528] |
| hs[497] | {6,5,5} | Order 480 | Solvable, Order 320 | hs[530] |
| hs[498] | {8,3,8} | Order 336 | Order 336 | hs[498] |
| hs[499] | {8,3,10} | Order 336 | Order 5040 | hs[506] |
| hs[500] | {8,5,10} | Order 40320 | Solvable, Order 500 | hs[503] |
| hs[501] | {8,6,8} | Order 336 | Order 252000 | hs[533] |
| hs[502] | {8,4,4} | Order 252000 | Solvable, Order 128 | hs[508] |
| hs[503] | {10,5,8} | Solvable, Order 500 | Order 40320 | hs[500] |
| hs[504] | {10,4,4} | Order 252000 | Solvable, Order 128 | hs[516] |
| hs[505] | {10,10,8} | Solvable, Order 500 | Order 252000 | hs[535] |
| hs[506] | {10,3,8} | Order 5040 | Order 336 | hs[499] |
| hs[507] | {10,8,4} | Order 252000 | Order 336 | hs[554] |
| hs[508] | {4,4,8} | Solvable, Order 128 | Order 252000 | hs[502] |
| hs[509] | {4,5,4} | Order 1920 | Order 1920 | hs[509] |
| hs[510] | {4,12,4} | Solvable, Order 1536 | Order 40320 | hs[570] |
| hs[511] | {4,12,4} | Solvable, Order 1536 | Order 252000 | hs[560] |
| hs[512] | {4,12,5} | Solvable, Order 1536 | Order 252000 | hs[550] |
| hs[513] | {4,6,8} | Order 120 | Order 252000 | hs[534] |
| hs[514] | {4,6,8} | Order 2880 | Order 40320 | hs[474] |
| hs[515] | {4,8,8} | Order 1440 | Order 252000 | hs[536] |
| hs[516] | {4,4,10} | Solvable, Order 128 | Order 252000 | hs[504] |
| hs[517] | {4,6,6} | Order 1440 | Order 1920 | hs[470] |
| hs[518] | {6,6,10} | Order 7680 | Order 5040 | hs[484] |
| hs[519] | {6,6,4} | Order 7680 | Order 1440 | hs[555] |
| hs[520] | {6,6,8} | Order 7680 | Order 336 | hs[476] |
| hs[521] | {4,12,8} | Solvable, Order 1536 | Order 252000 | hs[473] |
| hs[522] | {4,12,10} | Solvable, Order 1536 | Order 252000 | hs[485] |
| hs[523] | {4,12,8} | Solvable, Order 1536 | Order 252000 | hs[538] |
| hs[524] | {4,12,4} | Solvable, Order 1536 | Order 252000 | hs[561] |
| hs[525] | {4,10,10} | Order 1440 | Order 252000 | hs[486] |
| hs[526] | {4,8,4} | Order 2880 | Order 336 | hs[553] |
| hs[527] | {5,6,8} | Order 120 | Order 252000 | hs[477] |
| hs[528] | {5,10,6} | Solvable, Order 320 | Order 252000 | hs[496] |
| hs[529] | {5,3,8} | Order 120 | Order 336 | hs[482] |
| hs[530] | {5,5,6} | Solvable, Order 320 | Order 480 | hs[497] |
| hs[531] | {6,5,10} | Order 600 | Order 5040 | hs[489] |
| hs[532] | {6,5,4} | Order 600 | Order 720 | hs[558] |
| hs[533] | {8,6,8} | Order 252000 | Order 336 | hs[501] |
| hs[534] | {8,6,4} | Order 252000 | Order 120 | hs[513] |
| hs[535] | {8,10,10} | Order 252000 | Solvable, Order 500 | hs[505] |
| hs[536] | {8,8,4} | Order 252000 | Order 1440 | hs[515] |
| hs[537] | {8,8,3} | Order 252000 | Solvable, Order 192 | hs[563] |
| hs[538] | {8,12,4} | Order 252000 | Solvable, Order 1536 | hs[523] |
| hs[539] | {8,5,5} | Order 252000 | Order 600 | hs[546] |
| hs[540] | {8,6,3} | Order 252000 | Solvable, Order 192 | hs[567] |
| hs[541] | {8,6,5} | Order 252000 | Order 600 | hs[551] |
| hs[542] | {8,10,3} | Order 252000 | Order 120 | hs[576] |
| hs[543] | {6,3,10} | Solvable, Order 192 | Order 360 | hs[491] |
| hs[544] | {6,3,8} | Solvable, Order 192 | Order 336 | hs[481] |
| hs[545] | {6,8,10} | Solvable, Order 192 | Order 252000 | hs[490] |
| hs[546] | {5,5,8} | Order 600 | Order 252000 | hs[539] |
| hs[547] | {5,5,4} | Order 600 | Order 1440 | hs[568] |
| hs[548] | {5,5,5} | Order 600 | Order 600 | hs[548] |
| hs[549] | {5,8,4} | Order 252000 | Order 1440 | hs[556] |
| hs[550] | {5,12,4} | Order 252000 | Solvable, Order 1536 | hs[512] |
| hs[551] | {5,6,8} | Order 600 | Order 252000 | hs[541] |
| hs[552] | {5,6,4} | Order 600 | Order 2880 | hs[557] |
| hs[553] | {4,8,4} | Order 336 | Order 2880 | hs[526] |
| hs[554] | {4,8,10} | Order 336 | Order 252000 | hs[507] |
| hs[555] | {4,6,6} | Order 1440 | Order 7680 | hs[519] |
| hs[556] | {4,8,5} | Order 1440 | Order 252000 | hs[549] |
| hs[557] | {4,6,5} | Order 2880 | Order 600 | hs[552] |
| hs[558] | {4,5,6} | Order 720 | Order 600 | hs[532] |
| hs[559] | {4,10,3} | Order 252000 | Order 120 | hs[575] |
| hs[560] | {4,12,4} | Order 252000 | Solvable, Order 1536 | hs[511] |
| hs[561] | {4,12,4} | Order 252000 | Solvable, Order 1536 | hs[524] |
| hs[562] | {3,8,8} | Order 1440 | Order 252000 | hs[480] |
| hs[563] | {3,8,8} | Solvable, Order 192 | Order 252000 | hs[537] |
| hs[564] | {3,8,8} | Solvable, Order 192 | Order 252000 | hs[478] |
| hs[565] | {3,10,4} | Order 360 | Order 252000 | hs[468] |
| hs[566] | {3,6,10} | Solvable, Order 192 | Order 252000 | hs[488] |
| hs[567] | {3,6,8} | Solvable, Order 192 | Order 252000 | hs[540] |
| hs[568] | {4,5,5} | Order 1440 | Order 600 | hs[547] |
| hs[569] | {4,8,8} | Order 1440 | Order 252000 | hs[483] |
| hs[570] | {4,12,4} | Order 40320 | Solvable, Order 1536 | hs[510] |
| hs[571] | {6,4,8} | Order 2880 | Order 336 | hs[475] |
| hs[572] | {6,6,4} | Order 40320 | Order 336 | hs[466] |
| hs[573] | {3,10,10} | Order 120 | Order 252000 | hs[487] |
| hs[574] | {3,10,8} | Order 120 | Order 252000 | hs[479] |
| hs[575] | {3,10,4} | Order 120 | Order 252000 | hs[559] |
| hs[576] | {3,10,8} | Order 120 | Order 252000 | hs[542] |
Polytopes of rank 3
| index | Type | Dual |
|---|
| hs[1] | {5,12} | hs[143] |
| hs[2] | {5,8} | hs[111] |
| hs[3] | {5,8} | hs[114] |
| hs[4] | {5,12} | hs[141] |
| hs[5] | {6,8} | hs[116] |
| hs[6] | {6,8} | hs[153] |
| hs[7] | {6,12} | hs[133] |
| hs[8] | {6,8} | hs[104] |
| hs[9] | {6,8} | hs[152] |
| hs[10] | {6,8} | hs[154] |
| hs[11] | {6,12} | hs[135] |
| hs[12] | {8,12} | hs[50] |
| hs[13] | {8,12} | hs[48] |
| hs[14] | {8,10} | hs[41] |
| hs[15] | {8,8} | hs[86] |
| hs[16] | {8,12} | hs[51] |
| hs[17] | {8,8} | hs[17] |
| hs[18] | {8,10} | hs[406] |
| hs[19] | {8,8} | hs[332] |
| hs[20] | {8,15} | hs[225] |
| hs[21] | {8,15} | hs[177] |
| hs[22] | {8,15} | hs[255] |
| hs[23] | {8,15} | hs[178] |
| hs[24] | {8,8} | hs[373] |
| hs[25] | {8,5} | hs[264] |
| hs[26] | {8,10} | hs[379] |
| hs[27] | {8,8} | hs[330] |
| hs[28] | {8,15} | hs[183] |
| hs[29] | {8,8} | hs[363] |
| hs[30] | {8,10} | hs[433] |
| hs[31] | {8,7} | hs[289] |
| hs[32] | {8,7} | hs[319] |
| hs[33] | {8,6} | hs[451] |
| hs[34] | {8,10} | hs[430] |
| hs[35] | {8,10} | hs[397] |
| hs[36] | {8,15} | hs[231] |
| hs[37] | {8,10} | hs[417] |
| hs[38] | {8,15} | hs[251] |
| hs[39] | {8,15} | hs[180] |
| hs[40] | {10,12} | hs[46] |
| hs[41] | {10,8} | hs[14] |
| hs[42] | {10,8} | hs[331] |
| hs[43] | {10,15} | hs[218] |
| hs[44] | {12,12} | hs[44] |
| hs[45] | {12,8} | hs[87] |
| hs[46] | {12,10} | hs[40] |
| hs[47] | {12,12} | hs[49] |
| hs[48] | {12,8} | hs[13] |
| hs[49] | {12,12} | hs[47] |
| hs[50] | {12,8} | hs[12] |
| hs[51] | {12,8} | hs[16] |
| hs[52] | {12,15} | hs[208] |
| hs[53] | {12,10} | hs[435] |
| hs[54] | {12,7} | hs[290] |
| hs[55] | {12,7} | hs[271] |
| hs[56] | {12,15} | hs[182] |
| hs[57] | {12,10} | hs[377] |
| hs[58] | {12,15} | hs[176] |
| hs[59] | {12,10} | hs[407] |
| hs[60] | {12,6} | hs[444] |
| hs[61] | {12,15} | hs[202] |
| hs[62] | {12,15} | hs[181] |
| hs[63] | {12,8} | hs[351] |
| hs[64] | {12,8} | hs[354] |
| hs[65] | {12,10} | hs[402] |
| hs[66] | {12,7} | hs[318] |
| hs[67] | {12,7} | hs[296] |
| hs[68] | {12,10} | hs[418] |
| hs[69] | {12,10} | hs[416] |
| hs[70] | {12,15} | hs[256] |
| hs[71] | {12,7} | hs[269] |
| hs[72] | {12,8} | hs[346] |
| hs[73] | {12,10} | hs[408] |
| hs[74] | {12,15} | hs[179] |
| hs[75] | {12,15} | hs[250] |
| hs[76] | {4,15} | hs[260] |
| hs[77] | {4,7} | hs[270] |
| hs[78] | {4,15} | hs[210] |
| hs[79] | {6,10} | hs[403] |
| hs[80] | {6,10} | hs[376] |
| hs[81] | {6,15} | hs[175] |
| hs[82] | {6,7} | hs[291] |
| hs[83] | {6,15} | hs[219] |
| hs[84] | {6,10} | hs[398] |
| hs[85] | {6,10} | hs[439] |
| hs[86] | {8,8} | hs[15] |
| hs[87] | {8,12} | hs[45] |
| hs[88] | {8,15} | hs[247] |
| hs[89] | {8,7} | hs[295] |
| hs[90] | {8,10} | hs[381] |
| hs[91] | {8,8} | hs[375] |
| hs[92] | {8,15} | hs[220] |
| hs[93] | {8,15} | hs[226] |
| hs[94] | {8,10} | hs[378] |
| hs[95] | {8,10} | hs[400] |
| hs[96] | {8,7} | hs[268] |
| hs[97] | {8,15} | hs[224] |
| hs[98] | {8,7} | hs[272] |
| hs[99] | {8,8} | hs[333] |
| hs[100] | {8,10} | hs[380] |
| hs[101] | {8,15} | hs[252] |
| hs[102] | {4,15} | hs[174] |
| hs[103] | {4,15} | hs[212] |
| hs[104] | {8,6} | hs[8] |
| hs[105] | {8,12} | hs[138] |
| hs[106] | {8,6} | hs[173] |
| hs[107] | {8,8} | hs[156] |
| hs[108] | {8,12} | hs[128] |
| hs[109] | {8,12} | hs[130] |
| hs[110] | {8,6} | hs[148] |
| hs[111] | {8,5} | hs[2] |
| hs[112] | {8,8} | hs[112] |
| hs[113] | {8,8} | hs[113] |
| hs[114] | {8,5} | hs[3] |
| hs[115] | {8,10} | hs[166] |
| hs[116] | {8,6} | hs[5] |
| hs[117] | {8,8} | hs[159] |
| hs[118] | {8,12} | hs[140] |
| hs[119] | {8,8} | hs[119] |
| hs[120] | {8,12} | hs[126] |
| hs[121] | {8,10} | hs[169] |
| hs[122] | {8,8} | hs[165] |
| hs[123] | {8,8} | hs[123] |
| hs[124] | {12,12} | hs[136] |
| hs[125] | {12,6} | hs[172] |
| hs[126] | {12,8} | hs[120] |
| hs[127] | {12,12} | hs[127] |
| hs[128] | {12,8} | hs[108] |
| hs[129] | {12,6} | hs[146] |
| hs[130] | {12,8} | hs[109] |
| hs[131] | {12,8} | hs[162] |
| hs[132] | {12,10} | hs[168] |
| hs[133] | {12,6} | hs[7] |
| hs[134] | {12,8} | hs[157] |
| hs[135] | {12,6} | hs[11] |
| hs[136] | {12,12} | hs[124] |
| hs[137] | {12,10} | hs[167] |
| hs[138] | {12,8} | hs[105] |
| hs[139] | {12,8} | hs[158] |
| hs[140] | {12,8} | hs[118] |
| hs[141] | {12,5} | hs[4] |
| hs[142] | {12,12} | hs[142] |
| hs[143] | {12,5} | hs[1] |
| hs[144] | {12,6} | hs[150] |
| hs[145] | {12,8} | hs[164] |
| hs[146] | {6,12} | hs[129] |
| hs[147] | {6,8} | hs[163] |
| hs[148] | {6,8} | hs[110] |
| hs[149] | {6,6} | hs[149] |
| hs[150] | {6,12} | hs[144] |
| hs[151] | {6,6} | hs[151] |
| hs[152] | {8,6} | hs[9] |
| hs[153] | {8,6} | hs[6] |
| hs[154] | {8,6} | hs[10] |
| hs[155] | {8,8} | hs[155] |
| hs[156] | {8,8} | hs[107] |
| hs[157] | {8,12} | hs[134] |
| hs[158] | {8,12} | hs[139] |
| hs[159] | {8,8} | hs[117] |
| hs[160] | {8,10} | hs[171] |
| hs[161] | {8,10} | hs[170] |
| hs[162] | {8,12} | hs[131] |
| hs[163] | {8,6} | hs[147] |
| hs[164] | {8,12} | hs[145] |
| hs[165] | {8,8} | hs[122] |
| hs[166] | {10,8} | hs[115] |
| hs[167] | {10,12} | hs[137] |
| hs[168] | {10,12} | hs[132] |
| hs[169] | {10,8} | hs[121] |
| hs[170] | {10,8} | hs[161] |
| hs[171] | {10,8} | hs[160] |
| hs[172] | {6,12} | hs[125] |
| hs[173] | {6,8} | hs[106] |
| hs[174] | {15,4} | hs[102] |
| hs[175] | {15,6} | hs[81] |
| hs[176] | {15,12} | hs[58] |
| hs[177] | {15,8} | hs[21] |
| hs[178] | {15,8} | hs[23] |
| hs[179] | {15,12} | hs[74] |
| hs[180] | {15,8} | hs[39] |
| hs[181] | {15,12} | hs[62] |
| hs[182] | {15,12} | hs[56] |
| hs[183] | {15,8} | hs[28] |
| hs[184] | {15,6} | hs[452] |
| hs[185] | {15,8} | hs[347] |
| hs[186] | {15,15} | hs[186] |
| hs[187] | {15,15} | hs[223] |
| hs[188] | {15,15} | hs[188] |
| hs[189] | {15,7} | hs[280] |
| hs[190] | {15,10} | hs[385] |
| hs[191] | {15,10} | hs[401] |
| hs[192] | {15,8} | hs[336] |
| hs[193] | {15,5} | hs[267] |
| hs[194] | {15,15} | hs[209] |
| hs[195] | {15,15} | hs[195] |
| hs[196] | {15,10} | hs[442] |
| hs[197] | {15,15} | hs[197] |
| hs[198] | {15,7} | hs[311] |
| hs[199] | {15,10} | hs[384] |
| hs[200] | {15,6} | hs[462] |
| hs[201] | {15,8} | hs[372] |
| hs[202] | {15,12} | hs[61] |
| hs[203] | {15,10} | hs[411] |
| hs[204] | {15,7} | hs[314] |
| hs[205] | {15,8} | hs[367] |
| hs[206] | {15,5} | hs[455] |
| hs[207] | {15,7} | hs[312] |
| hs[208] | {15,12} | hs[52] |
| hs[209] | {15,15} | hs[194] |
| hs[210] | {15,4} | hs[78] |
| hs[211] | {15,10} | hs[386] |
| hs[212] | {15,4} | hs[103] |
| hs[213] | {15,6} | hs[450] |
| hs[214] | {15,3} | hs[458] |
| hs[215] | {15,4} | hs[465] |
| hs[216] | {15,4} | hs[459] |
| hs[217] | {15,15} | hs[217] |
| hs[218] | {15,10} | hs[43] |
| hs[219] | {15,6} | hs[83] |
| hs[220] | {15,8} | hs[92] |
| hs[221] | {15,10} | hs[421] |
| hs[222] | {15,8} | hs[365] |
| hs[223] | {15,15} | hs[187] |
| hs[224] | {15,8} | hs[97] |
| hs[225] | {15,8} | hs[20] |
| hs[226] | {15,8} | hs[93] |
| hs[227] | {15,7} | hs[288] |
| hs[228] | {15,10} | hs[412] |
| hs[229] | {15,6} | hs[453] |
| hs[230] | {15,10} | hs[405] |
| hs[231] | {15,8} | hs[36] |
| hs[232] | {15,8} | hs[337] |
| hs[233] | {15,10} | hs[434] |
| hs[234] | {15,15} | hs[234] |
| hs[235] | {15,15} | hs[235] |
| hs[236] | {15,7} | hs[304] |
| hs[237] | {15,10} | hs[391] |
| hs[238] | {15,10} | hs[390] |
| hs[239] | {15,15} | hs[239] |
| hs[240] | {15,10} | hs[422] |
| hs[241] | {15,15} | hs[241] |
| hs[242] | {15,7} | hs[273] |
| hs[243] | {15,15} | hs[243] |
| hs[244] | {15,8} | hs[356] |
| hs[245] | {15,7} | hs[286] |
| hs[246] | {15,15} | hs[246] |
| hs[247] | {15,8} | hs[88] |
| hs[248] | {15,15} | hs[248] |
| hs[249] | {15,15} | hs[249] |
| hs[250] | {15,12} | hs[75] |
| hs[251] | {15,8} | hs[38] |
| hs[252] | {15,8} | hs[101] |
| hs[253] | {15,8} | hs[374] |
| hs[254] | {15,15} | hs[254] |
| hs[255] | {15,8} | hs[22] |
| hs[256] | {15,12} | hs[70] |
| hs[257] | {15,4} | hs[457] |
| hs[258] | {15,8} | hs[357] |
| hs[259] | {15,7} | hs[283] |
| hs[260] | {15,4} | hs[76] |
| hs[261] | {15,8} | hs[343] |
| hs[262] | {15,7} | hs[315] |
| hs[263] | {15,7} | hs[279] |
| hs[264] | {5,8} | hs[25] |
| hs[265] | {5,7} | hs[325] |
| hs[266] | {5,8} | hs[359] |
| hs[267] | {5,15} | hs[193] |
| hs[268] | {7,8} | hs[96] |
| hs[269] | {7,12} | hs[71] |
| hs[270] | {7,4} | hs[77] |
| hs[271] | {7,12} | hs[55] |
| hs[272] | {7,8} | hs[98] |
| hs[273] | {7,15} | hs[242] |
| hs[274] | {7,4} | hs[463] |
| hs[275] | {7,10} | hs[441] |
| hs[276] | {7,8} | hs[366] |
| hs[277] | {7,10} | hs[415] |
| hs[278] | {7,8} | hs[350] |
| hs[279] | {7,15} | hs[263] |
| hs[280] | {7,15} | hs[189] |
| hs[281] | {7,10} | hs[382] |
| hs[282] | {7,7} | hs[306] |
| hs[283] | {7,15} | hs[259] |
| hs[284] | {7,7} | hs[284] |
| hs[285] | {7,6} | hs[447] |
| hs[286] | {7,15} | hs[245] |
| hs[287] | {7,8} | hs[349] |
| hs[288] | {7,15} | hs[227] |
| hs[289] | {7,8} | hs[31] |
| hs[290] | {7,12} | hs[54] |
| hs[291] | {7,6} | hs[82] |
| hs[292] | {7,6} | hs[461] |
| hs[293] | {7,5} | hs[454] |
| hs[294] | {7,7} | hs[327] |
| hs[295] | {7,8} | hs[89] |
| hs[296] | {7,12} | hs[67] |
| hs[297] | {7,8} | hs[341] |
| hs[298] | {7,6} | hs[449] |
| hs[299] | {7,10} | hs[431] |
| hs[300] | {7,7} | hs[300] |
| hs[301] | {7,8} | hs[342] |
| hs[302] | {7,7} | hs[302] |
| hs[303] | {7,10} | hs[392] |
| hs[304] | {7,15} | hs[236] |
| hs[305] | {7,7} | hs[305] |
| hs[306] | {7,7} | hs[282] |
| hs[307] | {7,8} | hs[369] |
| hs[308] | {7,8} | hs[370] |
| hs[309] | {7,8} | hs[364] |
| hs[310] | {7,10} | hs[396] |
| hs[311] | {7,15} | hs[198] |
| hs[312] | {7,15} | hs[207] |
| hs[313] | {7,10} | hs[429] |
| hs[314] | {7,15} | hs[204] |
| hs[315] | {7,15} | hs[262] |
| hs[316] | {7,10} | hs[410] |
| hs[317] | {7,10} | hs[414] |
| hs[318] | {7,12} | hs[66] |
| hs[319] | {7,8} | hs[32] |
| hs[320] | {7,10} | hs[413] |
| hs[321] | {7,10} | hs[428] |
| hs[322] | {7,7} | hs[322] |
| hs[323] | {7,8} | hs[361] |
| hs[324] | {7,6} | hs[329] |
| hs[325] | {7,5} | hs[265] |
| hs[326] | {7,8} | hs[339] |
| hs[327] | {7,7} | hs[294] |
| hs[328] | {6,8} | hs[358] |
| hs[329] | {6,7} | hs[324] |
| hs[330] | {8,8} | hs[27] |
| hs[331] | {8,10} | hs[42] |
| hs[332] | {8,8} | hs[19] |
| hs[333] | {8,8} | hs[99] |
| hs[334] | {8,6} | hs[448] |
| hs[335] | {8,10} | hs[388] |
| hs[336] | {8,15} | hs[192] |
| hs[337] | {8,15} | hs[232] |
| hs[338] | {8,8} | hs[338] |
| hs[339] | {8,7} | hs[326] |
| hs[340] | {8,10} | hs[437] |
| hs[341] | {8,7} | hs[297] |
| hs[342] | {8,7} | hs[301] |
| hs[343] | {8,15} | hs[261] |
| hs[344] | {8,10} | hs[420] |
| hs[345] | {8,8} | hs[355] |
| hs[346] | {8,12} | hs[72] |
| hs[347] | {8,15} | hs[185] |
| hs[348] | {8,8} | hs[348] |
| hs[349] | {8,7} | hs[287] |
| hs[350] | {8,7} | hs[278] |
| hs[351] | {8,12} | hs[63] |
| hs[352] | {8,10} | hs[389] |
| hs[353] | {8,10} | hs[426] |
| hs[354] | {8,12} | hs[64] |
| hs[355] | {8,8} | hs[345] |
| hs[356] | {8,15} | hs[244] |
| hs[357] | {8,15} | hs[258] |
| hs[358] | {8,6} | hs[328] |
| hs[359] | {8,5} | hs[266] |
| hs[360] | {8,8} | hs[360] |
| hs[361] | {8,7} | hs[323] |
| hs[362] | {8,10} | hs[436] |
| hs[363] | {8,8} | hs[29] |
| hs[364] | {8,7} | hs[309] |
| hs[365] | {8,15} | hs[222] |
| hs[366] | {8,7} | hs[276] |
| hs[367] | {8,15} | hs[205] |
| hs[368] | {8,10} | hs[404] |
| hs[369] | {8,7} | hs[307] |
| hs[370] | {8,7} | hs[308] |
| hs[371] | {8,10} | hs[438] |
| hs[372] | {8,15} | hs[201] |
| hs[373] | {8,8} | hs[24] |
| hs[374] | {8,15} | hs[253] |
| hs[375] | {8,8} | hs[91] |
| hs[376] | {10,6} | hs[80] |
| hs[377] | {10,12} | hs[57] |
| hs[378] | {10,8} | hs[94] |
| hs[379] | {10,8} | hs[26] |
| hs[380] | {10,8} | hs[100] |
| hs[381] | {10,8} | hs[90] |
| hs[382] | {10,7} | hs[281] |
| hs[383] | {10,6} | hs[460] |
| hs[384] | {10,15} | hs[199] |
| hs[385] | {10,15} | hs[190] |
| hs[386] | {10,15} | hs[211] |
| hs[387] | {10,6} | hs[445] |
| hs[388] | {10,8} | hs[335] |
| hs[389] | {10,8} | hs[352] |
| hs[390] | {10,15} | hs[238] |
| hs[391] | {10,15} | hs[237] |
| hs[392] | {10,7} | hs[303] |
| hs[393] | {10,10} | hs[393] |
| hs[394] | {10,10} | hs[440] |
| hs[395] | {10,10} | hs[395] |
| hs[396] | {10,7} | hs[310] |
| hs[397] | {10,8} | hs[35] |
| hs[398] | {10,6} | hs[84] |
| hs[399] | {10,10} | hs[424] |
| hs[400] | {10,8} | hs[95] |
| hs[401] | {10,15} | hs[191] |
| hs[402] | {10,12} | hs[65] |
| hs[403] | {10,6} | hs[79] |
| hs[404] | {10,8} | hs[368] |
| hs[405] | {10,15} | hs[230] |
| hs[406] | {10,8} | hs[18] |
| hs[407] | {10,12} | hs[59] |
| hs[408] | {10,12} | hs[73] |
| hs[409] | {10,10} | hs[409] |
| hs[410] | {10,7} | hs[316] |
| hs[411] | {10,15} | hs[203] |
| hs[412] | {10,15} | hs[228] |
| hs[413] | {10,7} | hs[320] |
| hs[414] | {10,7} | hs[317] |
| hs[415] | {10,7} | hs[277] |
| hs[416] | {10,12} | hs[69] |
| hs[417] | {10,8} | hs[37] |
| hs[418] | {10,12} | hs[68] |
| hs[419] | {10,6} | hs[446] |
| hs[420] | {10,8} | hs[344] |
| hs[421] | {10,15} | hs[221] |
| hs[422] | {10,15} | hs[240] |
| hs[423] | {10,10} | hs[423] |
| hs[424] | {10,10} | hs[399] |
| hs[425] | {10,4} | hs[464] |
| hs[426] | {10,8} | hs[353] |
| hs[427] | {10,10} | hs[427] |
| hs[428] | {10,7} | hs[321] |
| hs[429] | {10,7} | hs[313] |
| hs[430] | {10,8} | hs[34] |
| hs[431] | {10,7} | hs[299] |
| hs[432] | {10,10} | hs[432] |
| hs[433] | {10,8} | hs[30] |
| hs[434] | {10,15} | hs[233] |
| hs[435] | {10,12} | hs[53] |
| hs[436] | {10,8} | hs[362] |
| hs[437] | {10,8} | hs[340] |
| hs[438] | {10,8} | hs[371] |
| hs[439] | {10,6} | hs[85] |
| hs[440] | {10,10} | hs[394] |
| hs[441] | {10,7} | hs[275] |
| hs[442] | {10,15} | hs[196] |
| hs[443] | {10,4} | hs[456] |
| hs[444] | {6,12} | hs[60] |
| hs[445] | {6,10} | hs[387] |
| hs[446] | {6,10} | hs[419] |
| hs[447] | {6,7} | hs[285] |
| hs[448] | {6,8} | hs[334] |
| hs[449] | {6,7} | hs[298] |
| hs[450] | {6,15} | hs[213] |
| hs[451] | {6,8} | hs[33] |
| hs[452] | {6,15} | hs[184] |
| hs[453] | {6,15} | hs[229] |
| hs[454] | {5,7} | hs[293] |
| hs[455] | {5,15} | hs[206] |
| hs[456] | {4,10} | hs[443] |
| hs[457] | {4,15} | hs[257] |
| hs[458] | {3,15} | hs[214] |
| hs[459] | {4,15} | hs[216] |
| hs[460] | {6,10} | hs[383] |
| hs[461] | {6,7} | hs[292] |
| hs[462] | {6,15} | hs[200] |
| hs[463] | {4,7} | hs[274] |
| hs[464] | {4,10} | hs[425] |
| hs[465] | {4,15} | hs[215] |
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