"an order-14 associated pantriagonal magic cube" "dimension",3,"order",14 "Copyright (C) 2004, Mitsutoshi Nakamura. All rights reserved." "Plane No.",1 2108,455,2225,222,963,2047,730,2451,112,2568,1937,620,2390,387 450,2220,567,2680,2049,732,1767,107,2563,224,965,2392,389,2110 2222,562,2332,336,734,1769,795,2565,219,2675,2051,391,2112,452 221,2677,331,386,2457,111,2567,907,1991,1017,1758,2114,454,2224 278,2734,45,2452,2164,511,2281,1993,1019,1760,1080,106,2569,223 2736,47,2454,108,506,2276,623,1021,1762,739,1480,2564,218,2681 49,2456,110,2566,2278,618,2388,1764,741,1825,1194,220,2676,330 1765,798,1882,1251,277,2733,44,1079,1484,1196,2280,1649,1361,1416 793,1877,910,1651,2735,46,2453,1479,1191,1596,622,1363,1418,1081 1879,905,1989,1365,48,2455,109,1193,1591,1303,2394,1420,1083,1481 2279,619,2389,1415,1085,1483,1195,1250,1648,1360,43,1771,797,1881 1650,1362,1417,2109,1135,1540,1252,621,2391,388,737,1821,854,1938 1364,1419,1082,451,1535,1247,1652,2393,390,2111,1823,849,1933,966 1421,1084,1482,2223,1249,1647,1359,392,2113,453,851,1935,961,2045 "Plane No.",2 485,2206,553,2666,2035,718,1802,142,2549,210,951,2378,375,2145 2208,548,2318,322,720,1804,830,2551,205,2661,2037,377,2147,487 550,2320,660,2430,1806,832,1867,207,2663,317,715,2149,489,2210 2665,319,2432,2144,141,2555,209,1979,1005,1746,772,484,2212,552 2722,33,2489,143,492,2262,609,1007,1748,774,1515,2550,204,2667 35,2491,145,2552,2264,604,2374,1750,776,1860,1180,206,2662,316 2486,147,2554,208,606,2376,373,771,1862,839,1580,2664,318,2431 828,1863,896,1637,2721,32,2488,1514,1177,1582,608,1349,1404,1116 1865,891,1975,1351,34,2490,144,1179,1577,1289,2380,1406,1118,1516 893,1977,1003,1401,2492,146,2553,1579,1291,1689,372,1120,1518,1181 607,2377,374,1115,1513,1183,1581,1636,1348,1403,2487,827,1869,895 1350,1405,1117,486,1521,1233,1638,2379,376,2146,1858,835,1919,952 1407,1119,1517,2209,1235,1633,1345,378,2148,488,837,1921,947,2031 1114,1519,1182,551,1635,1347,1402,2143,490,2211,1923,949,2033,716 "Plane No.",3 2243,583,2304,308,706,1790,816,2586,240,2647,2023,363,2133,473 585,2306,646,2416,1792,818,1902,242,2649,303,701,2135,475,2245 2308,648,2075,72,813,1904,930,2651,305,2418,1787,470,2247,587 307,2420,74,472,2585,239,2653,993,1734,760,1844,2242,582,2310 21,2477,131,2587,2299,590,2360,1736,762,1846,1215,241,2648,302 2472,133,2589,243,592,2362,359,757,1848,874,1615,2650,304,2417 128,2584,245,2652,2364,361,2131,1843,869,1960,1280,306,2419,73 1900,926,1961,1337,20,2476,130,1214,1612,1275,2366,1392,1104,1502 928,1963,989,1387,2478,132,2588,1614,1277,1675,358,1106,1504,1216 1965,991,1732,1101,127,2590,244,1279,1677,1046,2130,1499,1218,1616 2365,362,2132,1501,1213,1611,1281,1336,1391,1103,129,1899,925,1967 1393,1105,1503,2244,1270,1619,1331,364,2134,474,872,1956,933,2017 1100,1505,1217,586,1621,1333,1388,2129,476,2246,1958,935,2019,702 1500,1212,1617,2309,1335,1390,1102,471,2241,588,937,2021,704,1788 "Plane No.",4 1257,1655,1367,1030,2121,461,2231,914,1998,1024,2402,63,2519,173 1657,1369,1375,1430,456,2233,573,2000,1026,1718,58,2514,175,2631 1371,1377,1089,1144,2228,568,2345,1028,1720,746,2516,170,2626,287 1036,1434,1146,172,1256,1654,1366,2408,62,2518,515,2628,282,2738 2115,462,2232,1258,1313,1711,1031,57,2520,174,2630,970,2054,688 457,2227,574,1658,1713,1033,1431,2515,169,2632,286,2056,690,1774 2229,569,2339,1372,1035,1433,1145,171,2627,281,2744,692,1776,802 571,2341,681,2059,749,1833,859,2629,283,2739,687,1092,1490,1202 2343,683,2061,401,1828,861,1945,285,2741,3,1773,1485,1204,1602 685,2063,403,2173,856,1940,973,2743,5,2461,801,1199,1597,1316 2065,405,2175,1201,2285,625,2395,693,1777,803,858,913,1997,1023 743,1834,860,2287,627,2397,345,1086,1491,1203,915,2685,339,2403 1829,855,1946,629,2399,347,2117,1486,1198,1603,2001,341,2405,59 857,1941,967,2401,349,2119,459,1200,1598,1310,1029,2407,61,2517 "Plane No.",5 2329,669,2096,2494,99,2562,216,271,2727,38,1122,1814,847,1931 671,2098,438,101,2557,211,2674,2729,40,2496,1473,842,1926,959 2100,440,2161,2559,213,2669,323,42,2498,103,1187,1928,954,2038 2493,105,2561,558,270,2726,37,2150,448,2218,1930,956,2040,723 786,1870,903,272,2385,382,2152,443,2213,560,1987,2728,39,2495 1872,898,1982,2730,384,2154,445,2215,555,2325,1015,41,2497,102 900,1984,1010,36,2156,447,2217,557,2327,667,1751,2499,104,2560 1300,1698,1067,2151,1471,1190,1588,1986,1012,1753,779,442,2219,559 1700,1069,1467,444,1185,1583,1302,1014,1755,781,1816,2214,554,2331 1071,1469,1132,2216,1585,1297,1695,1757,783,1818,844,556,2326,666 1121,1477,1189,1587,2328,668,2095,1807,791,1875,215,1299,1697,1066 100,2556,217,1301,2042,725,1809,1472,1184,1589,2330,1356,1411,1123 2558,212,2668,1701,727,1811,788,1186,1584,1296,672,1413,1125,1474 214,2670,324,1065,1813,790,1874,1586,1298,1696,2094,1127,1476,1188 "Plane No.",6 657,2084,424,136,2592,197,2660,2715,26,2482,1508,877,1912,945 2086,426,2196,2594,199,2655,309,28,2484,138,1222,1914,940,2024 421,2198,538,201,2657,311,2424,2479,140,2596,1573,942,2026,709 135,2591,203,2316,2714,25,2481,478,2248,546,944,2028,711,1795 1907,884,1968,2716,370,2140,480,2250,541,2311,1001,27,2483,137 886,1970,996,22,2142,482,2252,543,2313,653,1737,2485,139,2595 1972,998,1739,2480,477,2254,545,2315,655,2082,765,134,2597,202 1686,1055,1453,479,1220,1569,1288,1000,1741,767,1851,2249,540,2317 1057,1455,1167,2251,1571,1283,1681,1743,769,1853,879,542,2312,652 1450,1169,1567,544,1285,1683,1052,764,1855,881,1916,2314,654,2081 1507,1219,1575,1287,656,2083,423,821,1905,889,2659,1685,1054,1452 2593,198,2654,1687,713,1797,823,1221,1570,1282,658,1399,1111,1509 200,2656,310,1051,1799,825,1909,1572,1284,1682,2080,1113,1511,1223 2658,312,2425,1451,820,1911,888,1286,1684,1053,422,1506,1225,1574 "Plane No.",7 2072,412,2182,2580,234,2690,295,14,2470,124,1208,1949,975,2010 407,2184,524,236,2692,297,2410,2465,126,2582,1608,977,2012,695 2179,519,2296,2694,299,2412,66,121,2577,238,1322,2014,697,1781 2579,233,2689,644,13,2469,123,2236,576,2346,2016,699,1783,809 921,2005,982,8,2128,468,2238,578,2348,639,1723,2471,125,2581 2007,984,1725,2466,463,2240,580,2350,641,2068,751,120,2583,237 986,1727,753,122,2235,575,2352,643,2070,410,1837,2578,232,2695 1043,1441,1153,2237,1606,1318,1667,1729,755,1839,865,577,2347,638 1436,1155,1553,579,1320,1669,1038,750,1841,867,1951,2349,640,2067 1150,1548,1267,2351,1671,1040,1438,1836,862,1953,979,642,2069,409 1207,1605,1317,1673,2071,411,2181,1893,919,2003,301,1042,1440,1152 235,2691,296,1037,1785,811,1895,1607,1319,1668,2066,1099,1497,1209 2693,298,2411,1437,806,1897,923,1321,1670,1039,408,1492,1211,1609 300,2413,67,1151,1892,918,2009,1672,1041,1439,2180,1206,1604,1323 "Plane No.",8 1422,1141,1539,565,1306,1704,1073,736,1827,853,1594,2678,332,2445 1136,1534,1253,2337,1706,1075,1424,1822,848,1939,1308,334,2447,52 1536,1248,1646,679,1077,1426,1138,850,1934,960,1708,2449,54,2510 1593,1305,1703,2444,742,1826,852,564,2334,674,1072,1428,1140,1538 2336,676,2103,1766,792,1883,909,1307,1705,1074,394,1478,1197,1595 678,2105,396,794,1878,904,1995,1707,1076,1425,2166,1192,1590,1309 2107,398,2168,1880,906,1990,1016,1078,1427,1139,508,1592,1304,1702 50,2513,167,908,2335,675,2102,393,2170,510,2623,1992,1018,1759 2508,162,2625,1994,677,2104,395,2165,505,2282,279,1020,1761,738 164,2620,274,1022,2106,397,2167,507,2277,617,2737,1763,740,1824 1936,962,2046,729,399,2169,509,2622,276,2732,2101,56,2512,166 964,2048,731,1423,2507,168,2624,2679,333,2446,51,449,2226,566 2050,733,1768,1137,163,2619,280,335,2448,53,2509,2221,561,2338 735,1770,796,1537,2621,275,2731,2450,55,2511,165,563,2333,673 "Plane No.",9 1171,1520,1239,2323,1692,1061,1459,1857,834,1925,1294,320,2433,87 1522,1234,1632,665,1063,1461,1173,836,1920,946,1694,2435,89,2545 1236,1634,1346,2087,1463,1175,1524,1922,948,2032,1058,91,2547,152 1293,1691,1060,86,1856,840,1924,2322,662,2089,1458,1170,1526,1238 664,2091,431,829,1864,890,1981,1693,1062,1460,2201,1178,1576,1295 2093,433,2203,1866,892,1976,1002,1064,1462,1174,494,1578,1290,1688 428,2205,496,894,1978,1004,1745,1457,1176,1525,2266,1292,1690,1059 2543,148,2611,1980,663,2090,430,2200,491,2268,265,1006,1747,773 150,2606,260,1008,2092,432,2202,493,2263,603,2723,1749,775,1859 2608,262,2718,1744,434,2204,495,2265,605,2375,29,777,1861,838 950,2034,717,1801,2199,497,2267,264,2720,31,429,2542,154,2610 2036,719,1803,1172,149,2605,266,321,2434,88,2544,2207,547,2324 721,1805,831,1523,2607,261,2717,2436,90,2546,151,549,2319,659 1800,833,1868,1237,263,2719,30,85,2548,153,2609,2321,661,2088 "Plane No.",10 1557,1269,1618,651,1049,1447,1159,871,1955,932,1680,2421,75,2531 1271,1620,1332,2073,1449,1161,1559,1957,934,2018,1044,77,2533,187 1622,1334,1389,415,1156,1561,1273,936,2020,703,1444,2528,189,2645 1679,1048,1446,2530,870,1954,938,650,2077,417,1158,1556,1268,1624 2079,419,2189,1901,927,1962,988,1050,1448,1160,529,1613,1276,1674 414,2191,531,929,1964,990,1731,1443,1162,1560,2301,1278,1676,1045 2186,526,2303,1966,992,1733,759,1157,1555,1274,594,1678,1047,1445 185,2641,246,994,2078,418,2188,528,2298,589,2709,1735,761,1845 2643,248,2704,1730,420,2190,530,2300,591,2361,15,763,1847,873 250,2706,17,758,2185,532,2302,593,2363,360,2473,1842,875,1959 2022,705,1789,815,527,2297,595,2708,19,2475,2187,184,2640,252 707,1791,817,1558,2642,247,2703,2422,76,2532,186,584,2305,645 1786,819,1903,1272,249,2705,16,71,2534,188,2644,2307,647,2074 814,1898,931,1623,2707,18,2474,2529,183,2646,251,649,2076,416 "Plane No.",11 228,2684,338,1716,1435,1147,1545,2286,626,2396,344,1778,804,1888 2686,340,2404,744,1142,1547,1259,628,2398,346,2116,799,1890,916 342,2406,60,1830,1542,1254,1659,2400,348,2118,458,1885,911,2002 1722,748,1832,1887,1942,968,2052,350,2120,460,1544,570,2340,680 1429,1148,1546,1944,284,2740,2,1772,805,1889,572,2342,682,2060 1143,1541,1260,972,2742,4,2460,800,1884,917,2344,684,2062,402 1543,1255,1653,2058,6,2462,116,1886,912,1996,686,2064,404,2174 1943,969,2053,1,2464,118,2574,1600,1312,1710,1373,406,2176,516 971,2055,689,2459,113,2576,230,1314,1712,1032,1087,2171,518,2288 2057,691,1775,115,2571,225,2688,1714,1034,1432,1487,513,2283,630 7,2463,117,2230,227,2683,337,1379,1091,1489,2573,1599,1311,1709 2458,119,2575,229,1999,1025,1717,400,2177,517,1601,1656,1368,1374 114,2570,231,2687,1027,1719,745,2172,512,2289,1315,1370,1376,1088 2572,226,2682,343,1721,747,1831,514,2284,624,1715,1378,1090,1488 "Plane No.",12 957,2041,724,1808,2157,504,2274,1643,1355,1410,436,1128,1533,1245 2043,726,1810,787,499,2269,616,1357,1412,1124,2159,1528,1240,1645 728,1812,789,1873,2271,611,2381,1414,1126,1475,501,1242,1640,1352 778,1820,846,2616,1642,1354,1409,1464,1134,1532,1244,613,2383,380 1129,1527,1246,615,1699,1068,1466,2501,155,2618,1644,1013,1754,780 1529,1241,1639,2387,1070,1468,1131,157,2613,267,1358,1756,782,1817 1243,1641,1353,379,1470,1133,1531,2615,269,2725,1408,784,1819,845 2672,326,2439,1465,785,1876,902,614,2384,381,93,2500,161,2617 328,2441,95,1130,1871,897,1988,2386,383,2153,2502,156,2612,273 2443,97,2504,1530,899,1983,1009,385,2155,446,158,2614,268,2724 435,2163,503,901,1985,1011,1752,92,2506,160,2273,2671,325,2438 2158,498,2275,958,327,2440,94,1815,841,1932,2673,670,2097,437 500,2270,610,2044,2442,96,2503,843,1927,953,329,2099,439,2160 2272,612,2382,722,98,2505,159,1929,955,2039,2437,441,2162,502 "Plane No.",13 2029,712,1796,822,534,2255,602,1343,1398,1110,2194,1563,1226,1631 714,1798,824,1908,2257,597,2367,1400,1112,1510,536,1228,1626,1338 1793,826,1910,887,599,2369,366,1107,1512,1224,2259,1628,1340,1395 1850,876,1918,258,1342,1397,1109,1164,1562,1232,1630,2371,368,2138 1564,1227,1625,2373,1056,1454,1166,192,2599,253,1344,1742,768,1852 1229,1627,1339,365,1456,1168,1566,2601,255,2711,1394,770,1854,880 1629,1341,1396,2137,1163,1568,1231,257,2713,24,1108,1849,882,1917 314,2427,81,1165,1906,883,1974,2372,369,2139,2537,191,2598,259 2429,83,2539,1565,885,1969,995,371,2141,481,193,2600,254,2710 78,2541,195,1230,1971,997,1738,2136,483,2253,2602,256,2712,23 2193,533,2261,1973,999,1740,766,2536,190,2604,601,313,2426,80 535,2256,596,2030,2428,82,2538,878,1913,939,315,2085,425,2195 2258,598,2368,708,84,2540,194,1915,941,2025,2423,427,2197,537 600,2370,367,1794,2535,196,2603,943,2027,710,79,2192,539,2260 "Plane No.",14 700,1784,810,1894,2292,632,2353,1386,1098,1496,522,1263,1661,1324 1779,812,1896,922,634,2355,352,1093,1498,1210,2294,1663,1326,1381 807,1891,924,2008,2357,354,2124,1493,1205,1610,636,1328,1383,1095 864,1948,974,2702,1385,1097,1495,1550,1262,1660,1330,356,2126,466 1264,1662,1325,351,1442,1154,1552,2636,290,2697,1380,756,1840,866 1664,1327,1382,2123,1149,1554,1266,292,2699,10,1094,1835,868,1952 1329,1384,1096,465,1549,1261,1666,2701,12,2468,1494,863,1947,980 2415,69,2525,1551,920,2004,981,357,2127,467,179,2635,289,2696 64,2527,181,1265,2006,983,1724,2122,469,2239,2637,291,2698,9 2522,176,2639,1665,985,1726,752,464,2234,581,293,2700,11,2467 521,2291,631,987,1728,754,1838,178,2634,288,2359,2414,68,2524 2293,633,2354,694,70,2526,180,1950,976,2011,2409,413,2183,523 635,2356,353,1780,2521,182,2638,978,2013,696,65,2178,525,2295 2358,355,2125,808,177,2633,294,2015,698,1782,2523,520,2290,637