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