"an order-4 associated 2,5,6-agonal 6-dimensional magic hypercube" "dimension",6,"order",4 Plane,"(1,1,1,1)",,,,Plane,"(1,1,1,2)",,,,Plane,"(1,1,1,3)",,,,Plane,"(1,1,1,4)",, 1,1374,2735,4084,,1368,4091,10,2725,,2732,7,4086,1369,,4093,2722,1363,16 3414,3068,1033,679,,3071,673,3412,1038,,1027,3421,688,3058,,682,1032,3061,3419 3755,2053,2040,346,,2050,352,3757,2035,,2046,3748,337,2063,,343,2041,2060,3750 1024,1699,2386,3085,,1705,3078,1015,2396,,2389,1018,3083,1704,,3076,2399,1710,1009 Plane,"(1,1,2,1)",,,,Plane,"(1,1,2,2)",,,,Plane,"(1,1,2,3)",,,,Plane,"(1,1,2,4)",, 1878,3836,265,2215,,3839,2209,1876,270,,259,1885,2224,3826,,2218,264,3829,1883 2816,163,3922,1293,,169,1286,2807,3932,,3925,2810,1291,168,,1284,3935,174,2801 2305,862,3247,1780,,856,1787,2314,3237,,3244,2311,1782,857,,1789,3234,851,2320 1195,3333,760,2906,,3330,2912,1197,755,,766,1188,2897,3343,,2903,761,3340,1190 Plane,"(1,1,3,1)",,,,Plane,"(1,1,3,2)",,,,Plane,"(1,1,3,3)",,,,Plane,"(1,1,3,4)",, 2987,517,3576,1114,,514,1120,2989,3571,,3582,2980,1105,527,,1111,3577,524,2982 1537,3166,943,2548,,3160,2555,1546,933,,940,1543,2550,3161,,2557,930,3155,1552 1536,4003,82,2573,,4009,2566,1527,92,,85,1530,2571,4008,,2564,95,4014,1521 2134,508,3593,1959,,511,1953,2132,3598,,3587,2141,1968,498,,1962,3592,501,2139 Plane,"(1,1,4,1)",,,,Plane,"(1,1,4,2)",,,,Plane,"(1,1,4,3)",,,,Plane,"(1,1,4,4)",, 3328,2467,1618,781,,2473,774,3319,1628,,1621,3322,779,2472,,772,1631,2478,3313 427,1797,2296,3674,,1794,3680,429,2291,,2302,420,3665,1807,,3671,2297,1804,422 598,1276,2825,3495,,1279,3489,596,2830,,2819,605,3504,1266,,3498,2824,1269,603 3841,2654,1455,244,,2648,251,3850,1445,,1452,3847,246,2649,,253,1442,2643,3856 Plane,"(1,2,1,1)",,,,Plane,"(1,2,1,2)",,,,Plane,"(1,2,1,3)",,,,Plane,"(1,2,1,4)",, 1494,4028,73,2599,,4031,2593,1492,78,,67,1501,2608,4018,,2602,72,4021,1499 3008,547,3538,1101,,553,1094,2999,3548,,3541,3002,1099,552,,1092,3551,558,2993 2113,478,3631,1972,,472,1979,2122,3621,,3628,2119,1974,473,,1981,3618,467,2128 1579,3141,952,2522,,3138,2528,1581,947,,958,1572,2513,3151,,2519,953,3148,1574 Plane,"(1,2,2,1)",,,,Plane,"(1,2,2,2)",,,,Plane,"(1,2,2,3)",,,,Plane,"(1,2,2,4)",, 3776,2083,2002,333,,2089,326,3767,2012,,2005,3770,331,2088,,324,2015,2094,3761 43,1349,2744,4058,,1346,4064,45,2739,,2750,36,4049,1359,,4055,2745,1356,38 982,1724,2377,3111,,1727,3105,980,2382,,2371,989,3120,1714,,3114,2376,1717,987 3393,3038,1071,692,,3032,699,3402,1061,,1068,3399,694,3033,,701,1058,3027,3408 Plane,"(1,2,3,1)",,,,Plane,"(1,2,3,2)",,,,Plane,"(1,2,3,3)",,,,Plane,"(1,2,3,4)",, 577,1246,2863,3508,,1240,3515,586,2853,,2860,583,3510,1241,,3517,2850,1235,592 3286,2492,1609,807,,2495,801,3284,1614,,1603,3293,816,2482,,810,1608,2485,3291 3883,2629,1464,218,,2626,224,3885,1459,,1470,3876,209,2639,,215,1465,2636,3878 448,1827,2258,3661,,1833,3654,439,2268,,2261,442,3659,1832,,3652,2271,1838,433 Plane,"(1,2,4,1)",,,,Plane,"(1,2,4,2)",,,,Plane,"(1,2,4,3)",,,,Plane,"(1,2,4,4)",, 2347,837,3256,1754,,834,1760,2349,3251,,3262,2340,1745,847,,1751,3257,844,2342 1857,3806,303,2228,,3800,2235,1866,293,,300,1863,2230,3801,,2237,290,3795,1872 1216,3363,722,2893,,3369,2886,1207,732,,725,1210,2891,3368,,2884,735,3374,1201 2774,188,3913,1319,,191,1313,2772,3918,,3907,2781,1328,178,,1322,3912,181,2779 Plane,"(1,3,1,1)",,,,Plane,"(1,3,1,2)",,,,Plane,"(1,3,1,3)",,,,Plane,"(1,3,1,4)",, 2795,133,3960,1306,,130,1312,2797,3955,,3966,2788,1297,143,,1303,3961,140,2790 1153,3358,751,2932,,3352,2939,1162,741,,748,1159,2934,3353,,2941,738,3347,1168 1920,3811,274,2189,,3817,2182,1911,284,,277,1914,2187,3816,,2180,287,3822,1905 2326,892,3209,1767,,895,1761,2324,3214,,3203,2333,1776,882,,1770,3208,885,2331 Plane,"(1,3,2,1)",,,,Plane,"(1,3,2,2)",,,,Plane,"(1,3,2,3)",,,,Plane,"(1,3,2,4)",, 385,1822,2287,3700,,1816,3707,394,2277,,2284,391,3702,1817,,3709,2274,1811,400 3862,2684,1417,231,,2687,225,3860,1422,,1411,3869,240,2674,,234,1416,2677,3867 3307,2437,1656,794,,2434,800,3309,1651,,1662,3300,785,2447,,791,1657,2444,3302 640,1251,2834,3469,,1257,3462,631,2844,,2837,634,3467,1256,,3460,2847,1262,625 Plane,"(1,3,3,1)",,,,Plane,"(1,3,3,2)",,,,Plane,"(1,3,3,3)",,,,Plane,"(1,3,3,4)",, 3456,3043,1042,653,,3049,646,3447,1052,,1045,3450,651,3048,,644,1055,3054,3441 1003,1669,2424,3098,,1666,3104,1005,2419,,2430,996,3089,1679,,3095,2425,1676,998 22,1404,2697,4071,,1407,4065,20,2702,,2691,29,4080,1394,,4074,2696,1397,27 3713,2078,2031,372,,2072,379,3722,2021,,2028,3719,374,2073,,381,2018,2067,3728 Plane,"(1,3,4,1)",,,,Plane,"(1,3,4,2)",,,,Plane,"(1,3,4,3)",,,,Plane,"(1,3,4,4)",, 1558,3196,905,2535,,3199,2529,1556,910,,899,1565,2544,3186,,2538,904,3189,1563 2176,483,3602,1933,,489,1926,2167,3612,,3605,2170,1931,488,,1924,3615,494,2161 2945,542,3567,1140,,536,1147,2954,3557,,3564,2951,1142,537,,1149,3554,531,2960 1515,3973,120,2586,,3970,2592,1517,115,,126,1508,2577,3983,,2583,121,3980,1510 Plane,"(1,4,1,1)",,,,Plane,"(1,4,1,2)",,,,Plane,"(1,4,1,3)",,,,Plane,"(1,4,1,4)",, 3904,2659,1426,205,,2665,198,3895,1436,,1429,3898,203,2664,,196,1439,2670,3889 619,1221,2872,3482,,1218,3488,621,2867,,2878,612,3473,1231,,3479,2873,1228,614 406,1852,2249,3687,,1855,3681,404,2254,,2243,413,3696,1842,,3690,2248,1845,411 3265,2462,1647,820,,2456,827,3274,1637,,1644,3271,822,2457,,829,1634,2451,3280 Plane,"(1,4,2,1)",,,,Plane,"(1,4,2,2)",,,,Plane,"(1,4,2,3)",,,,Plane,"(1,4,2,4)",, 2155,453,3640,1946,,450,1952,2157,3635,,3646,2148,1937,463,,1943,3641,460,2150 1473,3998,111,2612,,3992,2619,1482,101,,108,1479,2614,3993,,2621,98,3987,1488 1600,3171,914,2509,,3177,2502,1591,924,,917,1594,2507,3176,,2500,927,3182,1585 2966,572,3529,1127,,575,1121,2964,3534,,3523,2973,1136,562,,1130,3528,565,2971 Plane,"(1,4,3,1)",,,,Plane,"(1,4,3,2)",,,,Plane,"(1,4,3,3)",,,,Plane,"(1,4,3,4)",, 1174,3388,713,2919,,3391,2913,1172,718,,707,1181,2928,3378,,2922,712,3381,1179 2368,867,3218,1741,,873,1734,2359,3228,,3221,2362,1739,872,,1732,3231,878,2353 2753,158,3951,1332,,152,1339,2762,3941,,3948,2759,1334,153,,1341,3938,147,2768 1899,3781,312,2202,,3778,2208,1901,307,,318,1892,2193,3791,,2199,313,3788,1894 Plane,"(1,4,4,1)",,,,Plane,"(1,4,4,2)",,,,Plane,"(1,4,4,3)",,,,Plane,"(1,4,4,4)",, 961,1694,2415,3124,,1688,3131,970,2405,,2412,967,3126,1689,,3133,2402,1683,976 3734,2108,1993,359,,2111,353,3732,1998,,1987,3741,368,2098,,362,1992,2101,3739 3435,3013,1080,666,,3010,672,3437,1075,,1086,3428,657,3023,,663,1081,3020,3430 64,1379,2706,4045,,1385,4038,55,2716,,2709,58,4043,1384,,4036,2719,1390,49 Plane,"(2,1,1,1)",,,,Plane,"(2,1,1,2)",,,,Plane,"(2,1,1,3)",,,,Plane,"(2,1,1,4)",, 1398,4076,25,2695,,4079,2689,1396,30,,19,1405,2704,4066,,2698,24,4069,1403 3056,643,3442,1053,,649,1046,3047,3452,,3445,3050,1051,648,,1044,3455,654,3041 2065,382,3727,2020,,376,2027,2074,3717,,3724,2071,2022,377,,2029,3714,371,2080 1675,3093,1000,2426,,3090,2432,1677,995,,1006,1668,2417,3103,,2423,1001,3100,1670 Plane,"(2,1,2,1)",,,,Plane,"(2,1,2,2)",,,,Plane,"(2,1,2,3)",,,,Plane,"(2,1,2,4)",, 3824,2179,1906,285,,2185,278,3815,1916,,1909,3818,283,2184,,276,1919,2190,3809 139,1301,2792,3962,,1298,3968,141,2787,,2798,132,3953,1311,,3959,2793,1308,134 886,1772,2329,3207,,1775,3201,884,2334,,2323,893,3216,1762,,3210,2328,1765,891 3345,2942,1167,740,,2936,747,3354,1157,,1164,3351,742,2937,,749,1154,2931,3360 Plane,"(2,1,3,1)",,,,Plane,"(2,1,3,2)",,,,Plane,"(2,1,3,3)",,,,Plane,"(2,1,3,4)",, 529,1150,2959,3556,,1144,3563,538,2949,,2956,535,3558,1145,,3565,2946,1139,544 3190,2540,1561,903,,2543,897,3188,1566,,1555,3197,912,2530,,906,1560,2533,3195 3979,2581,1512,122,,2578,128,3981,1507,,1518,3972,113,2591,,119,1513,2588,3974 496,1923,2162,3613,,1929,3606,487,2172,,2165,490,3611,1928,,3604,2175,1934,481 Plane,"(2,1,4,1)",,,,Plane,"(2,1,4,2)",,,,Plane,"(2,1,4,3)",,,,Plane,"(2,1,4,4)",, 2443,789,3304,1658,,786,1664,2445,3299,,3310,2436,1649,799,,1655,3305,796,2438 1809,3710,399,2276,,3704,2283,1818,389,,396,1815,2278,3705,,2285,386,3699,1824 1264,3459,626,2845,,3465,2838,1255,636,,629,1258,2843,3464,,2836,639,3470,1249 2678,236,3865,1415,,239,1409,2676,3870,,3859,2685,1424,226,,1418,3864,229,2683 Plane,"(2,2,1,1)",,,,Plane,"(2,2,1,2)",,,,Plane,"(2,2,1,3)",,,,Plane,"(2,2,1,4)",, 4016,2563,1522,93,,2569,86,4007,1532,,1525,4010,91,2568,,84,1535,2574,4001 523,1109,2984,3578,,1106,3584,525,2979,,2990,516,3569,1119,,3575,2985,1116,518 502,1964,2137,3591,,1967,3585,500,2142,,2131,509,3600,1954,,3594,2136,1957,507 3153,2558,1551,932,,2552,939,3162,1541,,1548,3159,934,2553,,941,1538,2547,3168 Plane,"(2,2,2,1)",,,,Plane,"(2,2,2,2)",,,,Plane,"(2,2,2,3)",,,,Plane,"(2,2,2,4)",, 2059,341,3752,2042,,338,2048,2061,3747,,3758,2052,2033,351,,2039,3753,348,2054 1361,4094,15,2724,,4088,2731,1370,5,,12,1367,2726,4089,,2733,2,4083,1376 1712,3075,1010,2397,,3081,2390,1703,1020,,1013,1706,2395,3080,,2388,1023,3086,1697 3062,684,3417,1031,,687,1025,3060,3422,,3411,3069,1040,674,,1034,3416,677,3067 Plane,"(2,2,3,1)",,,,Plane,"(2,2,3,2)",,,,Plane,"(2,2,3,3)",,,,Plane,"(2,2,3,4)",, 1270,3500,601,2823,,3503,2817,1268,606,,595,1277,2832,3490,,2826,600,3493,1275 2480,771,3314,1629,,777,1622,2471,3324,,3317,2474,1627,776,,1620,3327,782,2465 2641,254,3855,1444,,248,1451,2650,3845,,3852,2647,1446,249,,1453,3842,243,2656 1803,3669,424,2298,,3666,2304,1805,419,,430,1796,2289,3679,,2295,425,3676,1798 Plane,"(2,2,4,1)",,,,Plane,"(2,2,4,2)",,,,Plane,"(2,2,4,3)",,,,Plane,"(2,2,4,4)",, 849,1790,2319,3236,,1784,3243,858,2309,,2316,855,3238,1785,,3245,2306,1779,864 3830,2220,1881,263,,2223,257,3828,1886,,1875,3837,272,2210,,266,1880,2213,3835 3339,2901,1192,762,,2898,768,3341,1187,,1198,3332,753,2911,,759,1193,2908,3334 176,1283,2802,3933,,1289,3926,167,2812,,2805,170,3931,1288,,3924,2815,1294,161 Plane,"(2,3,1,1)",,,,Plane,"(2,3,1,2)",,,,Plane,"(2,3,1,3)",,,,Plane,"(2,3,1,4)",, 145,1342,2767,3940,,1336,3947,154,2757,,2764,151,3942,1337,,3949,2754,1331,160 3382,2924,1177,711,,2927,705,3380,1182,,1171,3389,720,2914,,714,1176,2917,3387 3787,2197,1896,314,,2194,320,3789,1891,,1902,3780,305,2207,,311,1897,2204,3782 880,1731,2354,3229,,1737,3222,871,2364,,2357,874,3227,1736,,3220,2367,1742,865 Plane,"(2,3,2,1)",,,,Plane,"(2,3,2,2)",,,,Plane,"(2,3,2,3)",,,,Plane,"(2,3,2,4)",, 1846,3692,409,2247,,3695,2241,1844,414,,403,1853,2256,3682,,2250,408,3685,1851 2672,195,3890,1437,,201,1430,2663,3900,,3893,2666,1435,200,,1428,3903,206,2657 2449,830,3279,1636,,824,1643,2458,3269,,3276,2455,1638,825,,1645,3266,819,2464 1227,3477,616,2874,,3474,2880,1229,611,,622,1220,2865,3487,,2871,617,3484,1222 Plane,"(2,3,3,1)",,,,Plane,"(2,3,3,2)",,,,Plane,"(2,3,3,3)",,,,Plane,"(2,3,3,4)",, 3019,661,3432,1082,,658,1088,3021,3427,,3438,3012,1073,671,,1079,3433,668,3014 1681,3134,975,2404,,3128,2411,1690,965,,972,1687,2406,3129,,2413,962,3123,1696 1392,4035,50,2717,,4041,2710,1383,60,,53,1386,2715,4040,,2708,63,4046,1377 2102,364,3737,1991,,367,1985,2100,3742,,3731,2109,2000,354,,1994,3736,357,2107 Plane,"(2,3,4,1)",,,,Plane,"(2,3,4,2)",,,,Plane,"(2,3,4,3)",,,,Plane,"(2,3,4,4)",, 3184,2499,1586,925,,2505,918,3175,1596,,1589,3178,923,2504,,916,1599,2510,3169 459,1941,2152,3642,,1938,3648,461,2147,,2158,452,3633,1951,,3639,2153,1948,454 566,1132,2969,3527,,1135,3521,564,2974,,2963,573,3536,1122,,3530,2968,1125,571 3985,2622,1487,100,,2616,107,3994,1477,,1484,3991,102,2617,,109,1474,2611,4000 Plane,"(2,4,1,1)",,,,Plane,"(2,4,1,2)",,,,Plane,"(2,4,1,3)",,,,Plane,"(2,4,1,4)",, 2635,213,3880,1466,,210,1472,2637,3875,,3886,2628,1457,223,,1463,3881,220,2630 1233,3518,591,2852,,3512,2859,1242,581,,588,1239,2854,3513,,2861,578,3507,1248 1840,3651,434,2269,,3657,2262,1831,444,,437,1834,2267,3656,,2260,447,3662,1825 2486,812,3289,1607,,815,1601,2484,3294,,3283,2493,1616,802,,1610,3288,805,2491 Plane,"(2,4,2,1)",,,,Plane,"(2,4,2,2)",,,,Plane,"(2,4,2,3)",,,,Plane,"(2,4,2,4)",, 465,1982,2127,3620,,1976,3627,474,2117,,2124,471,3622,1977,,3629,2114,1971,480 4022,2604,1497,71,,2607,65,4020,1502,,1491,4029,80,2594,,74,1496,2597,4027 3147,2517,1576,954,,2514,960,3149,1571,,1582,3140,945,2527,,951,1577,2524,3142 560,1091,2994,3549,,1097,3542,551,3004,,2997,554,3547,1096,,3540,3007,1102,545 Plane,"(2,4,3,1)",,,,Plane,"(2,4,3,2)",,,,Plane,"(2,4,3,3)",,,,Plane,"(2,4,3,4)",, 3376,2883,1202,733,,2889,726,3367,1212,,1205,3370,731,2888,,724,1215,2894,3361 843,1749,2344,3258,,1746,3264,845,2339,,2350,836,3249,1759,,3255,2345,1756,838 182,1324,2777,3911,,1327,3905,180,2782,,2771,189,3920,1314,,3914,2776,1317,187 3793,2238,1871,292,,2232,299,3802,1861,,1868,3799,294,2233,,301,1858,2227,3808 Plane,"(2,4,4,1)",,,,Plane,"(2,4,4,2)",,,,Plane,"(2,4,4,3)",,,,Plane,"(2,4,4,4)",, 1718,3116,985,2375,,3119,2369,1716,990,,979,1725,2384,3106,,2378,984,3109,1723 2096,323,3762,2013,,329,2006,2087,3772,,3765,2090,2011,328,,2004,3775,334,2081 3025,702,3407,1060,,696,1067,3034,3397,,3404,3031,1062,697,,1069,3394,691,3040 1355,4053,40,2746,,4050,2752,1357,35,,46,1348,2737,4063,,2743,41,4060,1350 Plane,"(3,1,1,1)",,,,Plane,"(3,1,1,2)",,,,Plane,"(3,1,1,3)",,,,Plane,"(3,1,1,4)",, 2747,37,4056,1354,,34,1360,2749,4051,,4062,2740,1345,47,,1351,4057,44,2742 1057,3406,703,3028,,3400,3035,1066,693,,700,1063,3030,3401,,3037,690,3395,1072 2016,3763,322,2093,,3769,2086,2007,332,,325,2010,2091,3768,,2084,335,3774,2001 2374,988,3113,1719,,991,1713,2372,3118,,3107,2381,1728,978,,1722,3112,981,2379 Plane,"(3,1,2,1)",,,,Plane,"(3,1,2,2)",,,,Plane,"(3,1,2,3)",,,,Plane,"(3,1,2,4)",, 289,1870,2239,3796,,1864,3803,298,2229,,2236,295,3798,1865,,3805,2226,1859,304 3910,2780,1321,183,,2783,177,3908,1326,,1315,3917,192,2770,,186,1320,2773,3915 3259,2341,1752,842,,2338,848,3261,1747,,1758,3252,833,2351,,839,1753,2348,3254 736,1203,2882,3373,,1209,3366,727,2892,,2885,730,3371,1208,,3364,2895,1214,721 Plane,"(3,1,3,1)",,,,Plane,"(3,1,3,2)",,,,Plane,"(3,1,3,3)",,,,Plane,"(3,1,3,4)",, 3552,2995,1090,557,,3001,550,3543,1100,,1093,3546,555,3000,,548,1103,3006,3537 955,1573,2520,3146,,1570,3152,957,2515,,2526,948,3137,1583,,3143,2521,1580,950 70,1500,2601,4023,,1503,4017,68,2606,,2595,77,4032,1490,,4026,2600,1493,75 3617,2126,1983,468,,2120,475,3626,1973,,1980,3623,470,2121,,477,1970,2115,3632 Plane,"(3,1,4,1)",,,,Plane,"(3,1,4,2)",,,,Plane,"(3,1,4,3)",,,,Plane,"(3,1,4,4)",, 1606,3292,809,2487,,3295,2481,1604,814,,803,1613,2496,3282,,2490,808,3285,1611 2272,435,3650,1837,,441,1830,2263,3660,,3653,2266,1835,440,,1828,3663,446,2257 2849,590,3519,1236,,584,1243,2858,3509,,3516,2855,1238,585,,1245,3506,579,2864 1467,3877,216,2634,,3874,2640,1469,211,,222,1460,2625,3887,,2631,217,3884,1462 Plane,"(3,2,1,1)",,,,Plane,"(3,2,1,2)",,,,Plane,"(3,2,1,3)",,,,Plane,"(3,2,1,4)",, 97,1486,2623,3988,,1480,3995,106,2613,,2620,103,3990,1481,,3997,2610,1475,112 3526,2972,1129,567,,2975,561,3524,1134,,1123,3533,576,2962,,570,1128,2965,3531 3643,2149,1944,458,,2146,464,3645,1939,,1950,3636,449,2159,,455,1945,2156,3638 928,1587,2498,3181,,1593,3174,919,2508,,2501,922,3179,1592,,3172,2511,1598,913 Plane,"(3,2,2,1)",,,,Plane,"(3,2,2,2)",,,,Plane,"(3,2,2,3)",,,,Plane,"(3,2,2,4)",, 1990,3740,361,2103,,3743,2097,1988,366,,355,1997,2112,3730,,2106,360,3733,1995 2720,51,4034,1389,,57,1382,2711,4044,,4037,2714,1387,56,,1380,4047,62,2705 2401,974,3135,1684,,968,1691,2410,3125,,3132,2407,1686,969,,1693,3122,963,2416 1083,3429,664,3018,,3426,3024,1085,659,,670,1076,3009,3439,,3015,665,3436,1078 Plane,"(3,2,3,1)",,,,Plane,"(3,2,3,2)",,,,Plane,"(3,2,3,3)",,,,Plane,"(3,2,3,4)",, 2875,613,3480,1226,,610,1232,2877,3475,,3486,2868,1217,623,,1223,3481,620,2870 1633,3278,831,2452,,3272,2459,1642,821,,828,1639,2454,3273,,2461,818,3267,1648 1440,3891,194,2669,,3897,2662,1431,204,,197,1434,2667,3896,,2660,207,3902,1425 2246,412,3689,1847,,415,1841,2244,3694,,3683,2253,1856,402,,1850,3688,405,2251 Plane,"(3,2,4,1)",,,,Plane,"(3,2,4,2)",,,,Plane,"(3,2,4,3)",,,,Plane,"(3,2,4,4)",, 3232,2355,1730,877,,2361,870,3223,1740,,1733,3226,875,2360,,868,1743,2366,3217 315,1893,2200,3786,,1890,3792,317,2195,,2206,308,3777,1903,,3783,2201,1900,310 710,1180,2921,3383,,1183,3377,708,2926,,2915,717,3392,1170,,3386,2920,1173,715 3937,2766,1343,148,,2760,155,3946,1333,,1340,3943,150,2761,,157,1330,2755,3952 Plane,"(3,3,1,1)",,,,Plane,"(3,3,1,2)",,,,Plane,"(3,3,1,3)",,,,Plane,"(3,3,1,4)",, 3936,2803,1282,173,,2809,166,3927,1292,,1285,3930,171,2808,,164,1295,2814,3921 763,1189,2904,3338,,1186,3344,765,2899,,2910,756,3329,1199,,3335,2905,1196,758 262,1884,2217,3831,,1887,3825,260,2222,,2211,269,3840,1874,,3834,2216,1877,267 3233,2318,1791,852,,2312,859,3242,1781,,1788,3239,854,2313,,861,1778,2307,3248 Plane,"(3,3,2,1)",,,,Plane,"(3,3,2,2)",,,,Plane,"(3,3,2,3)",,,,Plane,"(3,3,2,4)",, 2299,421,3672,1802,,418,1808,2301,3667,,3678,2292,1793,431,,1799,3673,428,2294 1441,3854,255,2644,,3848,2651,1450,245,,252,1447,2646,3849,,2653,242,3843,1456 1632,3315,770,2477,,3321,2470,1623,780,,773,1626,2475,3320,,2468,783,3326,1617 2822,604,3497,1271,,607,1265,2820,3502,,3491,2829,1280,594,,1274,3496,597,2827 Plane,"(3,3,3,1)",,,,Plane,"(3,3,3,2)",,,,Plane,"(3,3,3,3)",,,,Plane,"(3,3,3,4)",, 1030,3420,681,3063,,3423,3057,1028,686,,675,1037,3072,3410,,3066,680,3413,1035 2400,1011,3074,1709,,1017,1702,2391,3084,,3077,2394,1707,1016,,1700,3087,1022,2385 2721,14,4095,1364,,8,1371,2730,4085,,4092,2727,1366,9,,1373,4082,3,2736 2043,3749,344,2058,,3746,2064,2045,339,,350,2036,2049,3759,,2055,345,3756,2038 Plane,"(3,3,4,1)",,,,Plane,"(3,3,4,2)",,,,Plane,"(3,3,4,3)",,,,Plane,"(3,3,4,4)",, 929,1550,2559,3156,,1544,3163,938,2549,,2556,935,3158,1545,,3165,2546,1539,944 3590,2140,1961,503,,2143,497,3588,1966,,1955,3597,512,2130,,506,1960,2133,3595 3579,2981,1112,522,,2978,528,3581,1107,,1118,3572,513,2991,,519,1113,2988,3574 96,1523,2562,4013,,1529,4006,87,2572,,2565,90,4011,1528,,4004,2575,1534,81 Plane,"(3,4,1,1)",,,,Plane,"(3,4,1,2)",,,,Plane,"(3,4,1,3)",,,,Plane,"(3,4,1,4)",, 1414,3868,233,2679,,3871,2673,1412,238,,227,1421,2688,3858,,2682,232,3861,1419 2848,627,3458,1261,,633,1254,2839,3468,,3461,2842,1259,632,,1252,3471,638,2833 2273,398,3711,1812,,392,1819,2282,3701,,3708,2279,1814,393,,1821,3698,387,2288 1659,3301,792,2442,,3298,2448,1661,787,,798,1652,2433,3311,,2439,793,3308,1654 Plane,"(3,4,2,1)",,,,Plane,"(3,4,2,2)",,,,Plane,"(3,4,2,3)",,,,Plane,"(3,4,2,4)",, 3616,2163,1922,493,,2169,486,3607,1932,,1925,3610,491,2168,,484,1935,2174,3601 123,1509,2584,3978,,1506,3984,125,2579,,2590,116,3969,1519,,3975,2585,1516,118 902,1564,2537,3191,,1567,3185,900,2542,,2531,909,3200,1554,,3194,2536,1557,907 3553,2958,1151,532,,2952,539,3562,1141,,1148,3559,534,2953,,541,1138,2947,3568 Plane,"(3,4,3,1)",,,,Plane,"(3,4,3,2)",,,,Plane,"(3,4,3,3)",,,,Plane,"(3,4,3,4)",, 737,1166,2943,3348,,1160,3355,746,2933,,2940,743,3350,1161,,3357,2930,1155,752 3206,2332,1769,887,,2335,881,3204,1774,,1763,3213,896,2322,,890,1768,2325,3211 3963,2789,1304,138,,2786,144,3965,1299,,1310,3956,129,2799,,135,1305,2796,3958 288,1907,2178,3821,,1913,3814,279,2188,,2181,282,3819,1912,,3812,2191,1918,273 Plane,"(3,4,4,1)",,,,Plane,"(3,4,4,2)",,,,Plane,"(3,4,4,3)",,,,Plane,"(3,4,4,4)",, 2427,997,3096,1674,,994,1680,2429,3091,,3102,2420,1665,1007,,1671,3097,1004,2422 2017,3726,383,2068,,3720,2075,2026,373,,380,2023,2070,3721,,2077,370,3715,2032 1056,3443,642,3053,,3449,3046,1047,652,,645,1050,3051,3448,,3044,655,3454,1041 2694,28,4073,1399,,31,1393,2692,4078,,4067,2701,1408,18,,1402,4072,21,2699 Plane,"(4,1,1,1)",,,,Plane,"(4,1,1,2)",,,,Plane,"(4,1,1,3)",,,,Plane,"(4,1,1,4)",, 4048,2707,1378,61,,2713,54,4039,1388,,1381,4042,59,2712,,52,1391,2718,4033 667,1077,3016,3434,,1074,3440,669,3011,,3022,660,3425,1087,,3431,3017,1084,662 358,1996,2105,3735,,1999,3729,356,2110,,2099,365,3744,1986,,3738,2104,1989,363 3121,2414,1695,964,,2408,971,3130,1685,,1692,3127,966,2409,,973,1682,2403,3136 Plane,"(4,1,2,1)",,,,Plane,"(4,1,2,2)",,,,Plane,"(4,1,2,3)",,,,Plane,"(4,1,2,4)",, 2203,309,3784,1898,,306,1904,2205,3779,,3790,2196,1889,319,,1895,3785,316,2198 1329,3950,159,2756,,3944,2763,1338,149,,156,1335,2758,3945,,2765,146,3939,1344 1744,3219,866,2365,,3225,2358,1735,876,,869,1738,2363,3224,,2356,879,3230,1729 2918,716,3385,1175,,719,1169,2916,3390,,3379,2925,1184,706,,1178,3384,709,2923 Plane,"(4,1,3,1)",,,,Plane,"(4,1,3,2)",,,,Plane,"(4,1,3,3)",,,,Plane,"(4,1,3,4)",, 1126,3532,569,2967,,3535,2961,1124,574,,563,1133,2976,3522,,2970,568,3525,1131 2512,915,3170,1597,,921,1590,2503,3180,,3173,2506,1595,920,,1588,3183,926,2497 2609,110,3999,1476,,104,1483,2618,3989,,3996,2615,1478,105,,1485,3986,99,2624 1947,3637,456,2154,,3634,2160,1949,451,,462,1940,2145,3647,,2151,457,3644,1942 Plane,"(4,1,4,1)",,,,Plane,"(4,1,4,2)",,,,Plane,"(4,1,4,3)",,,,Plane,"(4,1,4,4)",, 817,1646,2463,3268,,1640,3275,826,2453,,2460,823,3270,1641,,3277,2450,1635,832 3686,2252,1849,407,,2255,401,3684,1854,,1843,3693,416,2242,,410,1848,2245,3691 3483,2869,1224,618,,2866,624,3485,1219,,1230,3476,609,2879,,615,1225,2876,3478 208,1427,2658,3901,,1433,3894,199,2668,,2661,202,3899,1432,,3892,2671,1438,193 Plane,"(4,2,1,1)",,,,Plane,"(4,2,1,2)",,,,Plane,"(4,2,1,3)",,,,Plane,"(4,2,1,4)",, 2587,117,3976,1514,,114,1520,2589,3971,,3982,2580,1505,127,,1511,3977,124,2582 1137,3566,543,2948,,3560,2955,1146,533,,540,1143,2950,3561,,2957,530,3555,1152 1936,3603,482,2173,,3609,2166,1927,492,,485,1930,2171,3608,,2164,495,3614,1921 2534,908,3193,1559,,911,1553,2532,3198,,3187,2541,1568,898,,1562,3192,901,2539 Plane,"(4,2,2,1)",,,,Plane,"(4,2,2,2)",,,,Plane,"(4,2,2,3)",,,,Plane,"(4,2,2,4)",, 369,2030,2079,3716,,2024,3723,378,2069,,2076,375,3718,2025,,3725,2066,2019,384 4070,2700,1401,23,,2703,17,4068,1406,,1395,4077,32,2690,,26,1400,2693,4075 3099,2421,1672,1002,,2418,1008,3101,1667,,1678,3092,993,2431,,999,1673,2428,3094 656,1043,3042,3453,,1049,3446,647,3052,,3045,650,3451,1048,,3444,3055,1054,641 Plane,"(4,2,3,1)",,,,Plane,"(4,2,3,2)",,,,Plane,"(4,2,3,3)",,,,Plane,"(4,2,3,4)",, 3472,2835,1250,637,,2841,630,3463,1260,,1253,3466,635,2840,,628,1263,2846,3457 795,1653,2440,3306,,1650,3312,797,2435,,2446,788,3297,1663,,3303,2441,1660,790 230,1420,2681,3863,,1423,3857,228,2686,,2675,237,3872,1410,,3866,2680,1413,235 3697,2286,1823,388,,2280,395,3706,1813,,1820,3703,390,2281,,397,1810,2275,3712 Plane,"(4,2,4,1)",,,,Plane,"(4,2,4,2)",,,,Plane,"(4,2,4,3)",,,,Plane,"(4,2,4,4)",, 1766,3212,889,2327,,3215,2321,1764,894,,883,1773,2336,3202,,2330,888,3205,1771 2192,275,3810,1917,,281,1910,2183,3820,,3813,2186,1915,280,,1908,3823,286,2177 2929,750,3359,1156,,744,1163,2938,3349,,3356,2935,1158,745,,1165,3346,739,2944 1307,3957,136,2794,,3954,2800,1309,131,,142,1300,2785,3967,,2791,137,3964,1302 Plane,"(4,3,1,1)",,,,Plane,"(4,3,1,2)",,,,Plane,"(4,3,1,3)",,,,Plane,"(4,3,1,4)",, 1318,3916,185,2775,,3919,2769,1316,190,,179,1325,2784,3906,,2778,184,3909,1323 2896,723,3362,1213,,729,1206,2887,3372,,3365,2890,1211,728,,1204,3375,734,2881 2225,302,3807,1860,,296,1867,2234,3797,,3804,2231,1862,297,,1869,3794,291,2240 1755,3253,840,2346,,3250,2352,1757,835,,846,1748,2337,3263,,2343,841,3260,1750 Plane,"(4,3,2,1)",,,,Plane,"(4,3,2,2)",,,,Plane,"(4,3,2,3)",,,,Plane,"(4,3,2,4)",, 3664,2259,1826,445,,2265,438,3655,1836,,1829,3658,443,2264,,436,1839,2270,3649 219,1461,2632,3882,,1458,3888,221,2627,,2638,212,3873,1471,,3879,2633,1468,214 806,1612,2489,3287,,1615,3281,804,2494,,2483,813,3296,1602,,3290,2488,1605,811 3505,2862,1247,580,,2856,587,3514,1237,,1244,3511,582,2857,,589,1234,2851,3520 Plane,"(4,3,3,1)",,,,Plane,"(4,3,3,2)",,,,Plane,"(4,3,3,3)",,,,Plane,"(4,3,3,4)",, 689,1070,3039,3396,,1064,3403,698,3029,,3036,695,3398,1065,,3405,3026,1059,704 3110,2380,1721,983,,2383,977,3108,1726,,1715,3117,992,2370,,986,1720,2373,3115 4059,2741,1352,42,,2738,48,4061,1347,,1358,4052,33,2751,,39,1353,2748,4054 336,2003,2082,3773,,2009,3766,327,2092,,2085,330,3771,2008,,3764,2095,2014,321 Plane,"(4,3,4,1)",,,,Plane,"(4,3,4,2)",,,,Plane,"(4,3,4,3)",,,,Plane,"(4,3,4,4)",, 2523,949,3144,1578,,946,1584,2525,3139,,3150,2516,1569,959,,1575,3145,956,2518 1969,3630,479,2116,,3624,2123,1978,469,,476,1975,2118,3625,,2125,466,3619,1984 1104,3539,546,3005,,3545,2998,1095,556,,549,1098,3003,3544,,2996,559,3550,1089 2598,76,4025,1495,,79,1489,2596,4030,,4019,2605,1504,66,,1498,4024,69,2603 Plane,"(4,4,1,1)",,,,Plane,"(4,4,1,2)",,,,Plane,"(4,4,1,3)",,,,Plane,"(4,4,1,4)",, 241,1454,2655,3844,,1448,3851,250,2645,,2652,247,3846,1449,,3853,2642,1443,256 3494,2828,1273,599,,2831,593,3492,1278,,1267,3501,608,2818,,602,1272,2821,3499 3675,2293,1800,426,,2290,432,3677,1795,,1806,3668,417,2303,,423,1801,2300,3670 784,1619,2466,3325,,1625,3318,775,2476,,2469,778,3323,1624,,3316,2479,1630,769 Plane,"(4,4,2,1)",,,,Plane,"(4,4,2,2)",,,,Plane,"(4,4,2,3)",,,,Plane,"(4,4,2,4)",, 1958,3596,505,2135,,3599,2129,1956,510,,499,1965,2144,3586,,2138,504,3589,1963 2576,83,4002,1533,,89,1526,2567,4012,,4005,2570,1531,88,,1524,4015,94,2561 2545,942,3167,1540,,936,1547,2554,3157,,3164,2551,1542,937,,1549,3154,931,2560 1115,3573,520,2986,,3570,2992,1117,515,,526,1108,2977,3583,,2983,521,3580,1110 Plane,"(4,4,3,1)",,,,Plane,"(4,4,3,2)",,,,Plane,"(4,4,3,3)",,,,Plane,"(4,4,3,4)",, 2907,757,3336,1194,,754,1200,2909,3331,,3342,2900,1185,767,,1191,3337,764,2902 1777,3246,863,2308,,3240,2315,1786,853,,860,1783,2310,3241,,2317,850,3235,1792 1296,3923,162,2813,,3929,2806,1287,172,,165,1290,2811,3928,,2804,175,3934,1281 2214,268,3833,1879,,271,1873,2212,3838,,3827,2221,1888,258,,1882,3832,261,2219 Plane,"(4,4,4,1)",,,,Plane,"(4,4,4,2)",,,,Plane,"(4,4,4,3)",,,,Plane,"(4,4,4,4)",, 3088,2387,1698,1021,,2393,1014,3079,1708,,1701,3082,1019,2392,,1012,1711,2398,3073 347,2037,2056,3754,,2034,3760,349,2051,,2062,340,3745,2047,,3751,2057,2044,342 678,1036,3065,3415,,1039,3409,676,3070,,3059,685,3424,1026,,3418,3064,1029,683 4081,2734,1375,4,,2728,11,4090,1365,,1372,4087,6,2729,,13,1362,2723,4096 order = 4, magic constant = 8194 normal: Yes 1-agonal : Yes 2-agonal : Yes 3-agonal : No 4-agonal : No 5-agonal : Yes 6-agonal : Yes pan-2-agonal : No pan-3-agonal : No pan-4-agonal : No pan-5-agonal : No pan-6-agonal : No associated : Yes complete : No 2D compact : No 6D compact : No knight tour : No