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