User:Contribution/Commas: Difference between revisions

Latest revision as of 01:21, 8 June 2026

Commas with denominator <= 2**40, size <= 2187/2048, and primes <= 5

Ratio	Monzo	Cents	EDOs tempering out the comma by patent val
16/15	[4 -1 -1⟩	111.73	1, 2, 3, 5, 6, 8
25/24	[-3 -1 2⟩	70.67	3, 4, 6, 7, 10, 13, 17, 20
81/80	[-4 4 -1⟩	21.51	5, 7, 12, 19, 24, 26, 31, 36, 38, 43, 45, 50, 55, 57, 62, 67, 69, 74, 76, 81, 86, 88, 93, 98, 100, 105, 117, 129
128/125	[7 0 -3⟩	41.06	3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42
135/128	[-7 3 1⟩	92.18	2, 7, 9, 11, 16, 23
250/243	[1 -5 3⟩	49.17	7, 8, 15, 22, 29, 30, 37, 44, 51, 59, 66
256/243	[8 -5⟩	90.22	5, 10, 15, 20, 25, 30
648/625	[3 4 -4⟩	62.57	4, 8, 12, 16, 24, 28, 36, 40, 52, 64
2048/2025	[11 -4 -2⟩	19.55	2, 10, 12, 14, 20, 22, 24, 32, 34, 36, 44, 46, 54, 56, 58, 66, 68, 70, 78, 80, 90, 92, 102, 112, 114, 124, 126, 136, 148, 160
2187/2048	[-11 7⟩	113.69	7, 14, 21, 28, 35
3125/3072	[-10 -1 5⟩	29.61	3, 6, 16, 19, 22, 25, 35, 38, 41, 44, 57, 60, 63, 66, 76, 79, 82, 85, 104, 107
6561/6250	[-1 8 -5⟩	84.07	12, 23, 24, 35, 36, 47
15625/15552	[-6 -5 6⟩	8.11	4, 15, 19, 23, 30, 34, 38, 49, 53, 57, 68, 72, 76, 83, 87, 91, 102, 106, 110, 121, 125, 136, 140, 144, 155, 159, 163, 174, 178, 189, 193, 197, 208, 212, 227, 231, 242, 246, 250, 261, 265, 280, 284, 295, 299, 314, 318, 333, 337, 348, 352, 367, 371, 386, 401, 405, 420, 424, 439, 454, 458, 473, 492, 507, 526, 545, 560, 579, 613, 632, 666, 719
16875/16384	[-14 3 4⟩	51.12	1, 9, 10, 19, 20, 28, 29, 38, 47, 48, 57, 76
20000/19683	[5 -9 4⟩	27.66	7, 27, 34, 41, 48, 61, 68, 75, 82, 95, 102, 109, 116, 136, 143, 150, 177, 184, 191, 218, 225, 259
20480/19683	[12 -9 1⟩	68.72	5, 17, 22, 27, 44, 49, 66, 71
32805/32768	[-15 8 1⟩	1.95	12, 17, 24, 29, 36, 41, 53, 65, 77, 82, 89, 94, 101, 106, 118, 130, 135, 142, 147, 154, 159, 171, 183, 195, 200, 207, 212, 219, 224, 236, 248, 253, 260, 265, 272, 277, 289, 301, 313, 318, 325, 330, 342, 354, 366, 371, 378, 383, 390, 395, 407, 419, 424, 431, 436, 443, 448, 460, 472, 484, 489, 496, 501, 508, 513, 525, 537, 542, 549, 554, 561, 566, 578, 590, 602, 607, 614, 619, 626, 631, 643, 655, 660, 667, 672, 679, 684, 696, 708, 720, 725, 732, 737, 744, 749, 761, 773, 778, 785, 790, 797, 802, 814, 826, 838, 843, 850, 855, 862, 867, 879, 891, 896, 903, 908, 915, 920, 932, 944, 956, 961, 968, 973, 985, 997, 1009, 1014, 1021, 1026, 1033, 1038, 1050, 1062, 1067, 1074, 1079, 1086, 1091, 1103, 1115, 1127, 1132, 1139, 1144, 1151, 1156, 1168, 1180, 1185, 1192, 1197, 1204, 1209, 1221, 1233, 1245, 1250, 1257, 1262, 1269, 1274, 1286, 1298, 1303, 1310, 1315, 1322, 1327, 1339, 1351, 1363, 1368, 1375, 1380, 1387, 1392, 1404, 1416, 1421, 1428, 1433, 1440, 1445, 1457, 1469, 1481, 1486, 1493, 1498, 1505, 1510, 1522, 1534, 1539, 1546, 1551, 1558, 1563, 1575, 1587, 1599, 1604, 1611, 1616, 1628, 1640, 1652, 1657, 1664, 1669, 1676, 1681, 1693, 1705, 1710, 1717, 1722, 1729, 1734, 1746, 1758, 1770, 1775, 1782, 1787, 1794, 1799, 1811, 1823, 1828, 1835, 1840, 1847, 1852, 1864, 1876, 1888, 1893, 1900, 1905, 1912, 1917, 1929, 1941, 1946, 1953, 1958, 1965, 1970, 1982, 1994, 2006, 2011, 2018, 2023, 2030, 2035, 2047, 2059, 2064, 2071, 2076, 2083, 2088, 2100, 2112, 2124, 2129, 2136, 2141, 2148, 2153, 2165, 2177, 2182, 2189, 2194, 2206, 2218, 2230, 2242, 2247, 2259, 2271, 2283, 2295, 2300, 2312, 2324, 2336, 2348, 2353, 2365, 2377, 2389, 2401, 2418, 2430, 2442, 2454, 2471, 2483, 2495, 2536, 2548, 2589, 2601, 2654, 2707
78125/73728	[-13 -2 7⟩	100.29	3, 6, 23, 26, 29, 32
78732/78125	[2 9 -7⟩	13.40	8, 19, 27, 38, 46, 57, 65, 73, 76, 84, 92, 103, 111, 122, 130, 141, 149, 157, 168, 176, 187, 195, 214, 233, 241, 252, 260, 279, 298, 306, 317, 325, 344, 363, 382, 390, 409, 428, 447, 474, 493, 539, 558, 623
82944/78125	[10 4 -7⟩	103.62	12, 24, 36
262144/253125	[18 -4 -5⟩	60.61	1, 11, 12, 13, 24, 25, 36, 37, 49, 61, 73
273375/262144	[-18 7 3⟩	72.63	2, 17, 19, 21, 38, 40, 57, 76
390625/373248	[-9 -6 8⟩	78.78	4, 18, 22, 26, 44, 48, 66
393216/390625	[17 1 -8⟩	11.45	3, 6, 28, 31, 34, 37, 62, 65, 68, 71, 93, 96, 99, 102, 127, 130, 133, 136, 158, 161, 164, 167, 192, 195, 198, 201, 223, 226, 229, 232, 257, 260, 263, 266, 288, 291, 294, 297, 322, 325, 328, 331, 353, 356, 359, 362, 365, 387, 390, 393, 421, 452
524288/492075	[19 -9 -2⟩	109.78	10, 20, 27, 37
531441/500000	[-5 12 -6⟩	105.58	12, 24, 36
531441/524288	[-19 12⟩	23.46	12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300
1594323/1562500	[-2 13 -8⟩	34.91	19, 38, 39, 57, 58, 76, 77, 96, 115, 134, 153, 154, 173, 192, 211, 269, 288
1600000/1594323	[9 -13 5⟩	6.15	7, 39, 46, 53, 60, 92, 99, 106, 113, 145, 152, 159, 166, 198, 205, 212, 244, 251, 258, 265, 297, 304, 311, 318, 350, 357, 364, 371, 403, 410, 417, 424, 449, 456, 463, 470, 502, 509, 516, 523, 555, 562, 569, 576, 608, 615, 622, 629, 654, 661, 668, 675, 707, 714, 721, 728, 760, 767, 774, 781, 813, 820, 827, 834, 866, 873, 880, 919, 926, 933, 972, 979, 986, 1025, 1032, 1039, 1078, 1085, 1131, 1138, 1177, 1184, 1191, 1230, 1237, 1244, 1283, 1290, 1336, 1343, 1389, 1396, 1442, 1449, 1495, 1548, 1601, 1654
1638400/1594323	[16 -13 2⟩	47.21	5, 29, 34, 39, 63, 68, 73, 97, 102, 131, 136, 165
1953125/1889568	[-5 -10 9⟩	57.27	15, 26, 30, 41, 56, 71, 82, 97, 112, 138
1990656/1953125	[13 5 -9⟩	32.95	15, 16, 30, 31, 46, 47, 61, 62, 77, 92, 93, 108, 123, 139, 154, 170, 185, 216, 247
2109375/2097152	[-21 3 7⟩	10.06	9, 13, 22, 31, 40, 44, 53, 62, 66, 75, 84, 93, 97, 106, 115, 119, 128, 137, 146, 150, 159, 168, 172, 181, 190, 199, 203, 212, 221, 225, 234, 243, 252, 256, 265, 274, 278, 287, 296, 305, 309, 318, 327, 340, 349, 358, 371, 380, 402, 411, 424, 433, 455, 464, 486, 517, 570
4428675/4194304	[-22 11 2⟩	94.13	14, 19, 33, 38, 52, 57, 76
5000000/4782969	[6 -14 7⟩	76.83	7, 42, 49, 56, 63, 112, 119
8388608/7971615	[23 -13 -1⟩	88.27	22, 39, 44, 61, 66, 83
9765625/9565938	[-1 -14 10⟩	35.77	8, 26, 34, 42, 60, 68, 94, 102, 128, 136, 162, 196, 222, 230, 256, 290, 324
10077696/9765625	[9 9 -10⟩	54.46	4, 27, 31, 35, 58, 62, 89, 93, 120, 151, 182
17578125/16777216	[-24 2 9⟩	80.73	13, 19, 32, 38, 51, 57, 76
33554432/31640625	[25 -4 -8⟩	101.67	12, 24, 36
34171875/33554432	[-25 7 6⟩	31.57	10, 11, 20, 21, 31, 41, 51, 52, 62, 72, 82, 93, 103, 113, 134, 144, 175
43046721/41943040	[-23 16 -1⟩	44.97	12, 24, 36, 79, 91, 103, 115, 127, 139, 151, 194
48828125/47775744	[-16 -6 11⟩	37.72	18, 19, 37, 38, 56, 57, 75, 76, 94, 112, 113, 131, 132, 150, 169, 206, 225
50331648/48828125	[24 1 -11⟩	52.50	3, 6, 40, 43, 46, 49, 86, 89, 92, 95, 129
51018336/48828125	[5 13 -11⟩	75.96	8, 23, 31, 39, 62, 70, 93, 101
67108864/66430125	[26 -12 -3⟩	17.60	12, 24, 36, 51, 63, 75, 87, 99, 111, 123, 138, 150, 162, 174, 186, 198, 210, 225, 237, 249, 261, 273, 285, 297, 312, 324, 336, 348, 360, 372, 384, 471
129140163/125000000	[-6 17 -9⟩	56.41	19, 38, 57, 70, 76, 89, 108, 127, 146, 216, 235
129140163/128000000	[-13 17 -6⟩	15.35	7, 58, 65, 72, 79, 123, 130, 137, 144, 188, 195, 202, 209, 260, 267, 274, 281, 325, 332, 339, 346, 390, 397, 404, 411, 462, 469, 476, 527, 534, 541, 592, 599, 606, 657, 664, 729, 794, 859
131072000/129140163	[20 -17 3⟩	25.71	5, 41, 46, 82, 87, 92, 128, 133, 169, 174, 179, 215, 220, 256, 261, 266, 302, 307, 343, 348, 389, 430
134217728/129140163	[27 -17⟩	66.76	17, 34, 51, 68, 85, 102, 119, 136
244140625/229582512	[-4 -15 12⟩	106.44	15, 30, 48, 63, 78
254803968/244140625	[20 5 -12⟩	74.01	15, 28, 30, 43, 58, 73, 86, 101, 129
258280326/244140625	[1 17 -12⟩	97.47	31, 62, 93
268435456/263671875	[28 -3 -10⟩	31.00	9, 25, 34, 43, 52, 59, 68, 77, 86, 102, 111, 120, 129, 136, 145, 154, 179, 188, 213
390625000/387420489	[3 -18 11⟩	14.26	26, 27, 53, 79, 80, 106, 132, 133, 159, 160, 186, 212, 213, 239, 265, 266, 292, 318, 319, 345, 371, 372, 398, 424, 425, 451, 478, 504, 531, 557, 584, 610, 637, 663, 690, 743, 796, 849, 902, 955
409600000/387420489	[17 -18 5⟩	96.38	27, 29, 56, 83, 85, 112
536870912/512578125	[29 -8 -7⟩	80.16	12, 24, 36, 59, 71, 83, 95
553584375/536870912	[-29 11 5⟩	53.07	2, 29, 31, 33, 60, 62, 64, 91, 93, 122, 153
1220703125/1146617856	[-19 -7 13⟩	108.39	22, 23, 44, 45, 66
1220703125/1162261467	[0 -19 13⟩	84.93	8, 41, 49, 82, 90, 131, 172
1220703125/1207959552	[-27 -2 13⟩	18.17	3, 6, 47, 50, 53, 56, 59, 100, 103, 106, 109, 112, 153, 156, 159, 162, 165, 209, 212, 215, 218, 262, 265, 268, 271, 315, 318, 321, 324, 368, 371, 374, 377, 424, 427, 430, 483
1224440064/1220703125	[8 14 -13⟩	5.29	19, 38, 42, 57, 61, 76, 80, 99, 118, 137, 156, 160, 175, 179, 194, 198, 217, 236, 255, 274, 293, 297, 316, 335, 354, 373, 392, 411, 415, 434, 453, 472, 491, 510, 529, 533, 552, 571, 590, 609, 628, 647, 651, 670, 689, 708, 727, 746, 765, 769, 788, 807, 826, 845, 864, 887, 906, 925, 944, 963, 982, 1005, 1024, 1043, 1062, 1081, 1100, 1123, 1142, 1161, 1180, 1199, 1218, 1241, 1260, 1279, 1298, 1317, 1359, 1378, 1397, 1416, 1435, 1496, 1515, 1534, 1553, 1614, 1633, 1652, 1671, 1732, 1751, 1770, 1789, 1850, 1869, 1888, 1968, 1987, 2006, 2086, 2105, 2124, 2204, 2223, 2242, 2322, 2341, 2440, 2459, 2577, 2695, 2813
1289945088/1220703125	[16 9 -13⟩	95.52	16, 27, 43, 70, 86, 129
2197265625/2147483648	[-31 2 12⟩	39.67	22, 28, 44, 50, 66, 72, 94, 100, 116, 122, 138, 144, 166, 194
3486784401/3355443200	[-27 20 -2⟩	66.47	12, 24, 36, 110, 122, 134, 146, 158, 170, 182
4294967296/4271484375	[32 -7 -9⟩	9.49	1, 21, 22, 43, 44, 64, 65, 66, 86, 87, 108, 109, 129, 130, 131, 151, 152, 173, 174, 195, 196, 216, 217, 218, 238, 239, 260, 261, 282, 283, 303, 304, 325, 326, 347, 348, 369, 390, 391, 412, 413, 434, 456, 477, 478, 499, 521, 543, 564, 565, 586, 608, 630, 651, 673, 695, 716, 738, 760, 803, 825, 890, 977
6103515625/5804752896	[-15 -11 14⟩	86.89	4, 37, 41, 45, 78, 82, 119
6115295232/6103515625	[23 6 -14⟩	3.34	16, 18, 34, 50, 68, 84, 100, 102, 118, 134, 136, 152, 168, 186, 202, 220, 236, 252, 254, 270, 286, 304, 320, 338, 354, 370, 372, 388, 404, 422, 438, 456, 472, 488, 490, 506, 522, 524, 540, 556, 574, 590, 606, 608, 624, 640, 642, 658, 674, 692, 708, 726, 742, 758, 760, 776, 792, 810, 826, 844, 860, 876, 878, 894, 910, 928, 944, 962, 978, 994, 996, 1012, 1028, 1030, 1046, 1062, 1080, 1096, 1112, 1114, 1130, 1146, 1148, 1164, 1180, 1198, 1214, 1232, 1248, 1264, 1266, 1282, 1298, 1316, 1332, 1350, 1366, 1382, 1384, 1400, 1416, 1434, 1450, 1468, 1484, 1500, 1502, 1518, 1534, 1552, 1568, 1586, 1602, 1618, 1620, 1636, 1652, 1670, 1686, 1704, 1720, 1736, 1738, 1754, 1770, 1788, 1804, 1822, 1838, 1872, 1888, 1906, 1922, 1940, 1956, 1990, 2006, 2024, 2040, 2058, 2074, 2108, 2124, 2142, 2158, 2176, 2192, 2226, 2242, 2260, 2276, 2294, 2310, 2344, 2378, 2394, 2428, 2462, 2496, 2512, 2546, 2580, 2614, 2630, 2664, 2698, 2732, 2748, 2782, 2816, 2900, 2934, 3018, 3052, 3136, 3170, 3254, 3372
6442450944/6103515625	[31 1 -14⟩	93.56	3, 6, 52, 55, 58, 61
8968066875/8589934592	[-33 15 4⟩	74.58	14, 17, 31, 48, 62, 79, 93, 110, 141
10460353203/10000000000	[-10 21 -10⟩	77.92	19, 38, 57, 76, 101, 120, 139, 158
10460353203/10240000000	[-17 21 -7⟩	36.86	7, 70, 77, 84, 91, 154, 161, 168, 175, 238, 245, 252, 322, 329, 406
10485760000/10460353203	[24 -21 4⟩	4.20	5, 48, 53, 58, 106, 111, 159, 164, 212, 217, 265, 270, 275, 318, 323, 328, 371, 376, 381, 424, 429, 434, 482, 487, 535, 540, 588, 593, 598, 641, 646, 651, 694, 699, 704, 747, 752, 757, 805, 810, 858, 863, 911, 916, 964, 969, 974, 1017, 1022, 1027, 1070, 1075, 1080, 1128, 1133, 1181, 1186, 1234, 1239, 1287, 1292, 1297, 1340, 1345, 1350, 1393, 1398, 1403, 1451, 1456, 1504, 1509, 1557, 1562, 1610, 1615, 1620, 1663, 1668, 1673, 1716, 1721, 1726, 1769, 1774, 1779, 1827, 1832, 1880, 1885, 1933, 1938, 1943, 1986, 1991, 1996, 2039, 2044, 2049, 2092, 2097, 2102, 2150, 2155, 2203, 2208, 2256, 2261, 2309, 2314, 2319, 2362, 2367, 2372, 2415, 2420, 2425, 2473, 2478, 2526, 2531, 2579, 2584, 2632, 2637, 2685, 2690, 2738, 2743, 2796, 2849, 2902, 2955, 3008, 3061, 3114, 3172, 3225, 3278, 3331, 3384, 3437
10737418240/10460353203	[31 -21 1⟩	45.26	29, 46, 75, 92, 104, 121, 150, 167, 196, 213, 225, 242, 271
17179869184/16142520375	[34 -17 -3⟩	107.82	22, 44, 66, 73, 95
17433922005/17179869184	[-34 20 1⟩	25.41	12, 24, 36, 113, 125, 137, 149, 161, 173, 185, 250, 262, 274, 286, 298, 310, 322, 334, 399, 411, 423, 435, 447, 459
18310546875/17179869184	[-34 1 14⟩	110.35	19, 38, 54, 57, 76
30517578125/29386561536	[-11 -15 15⟩	65.38	15, 30, 45, 60, 75, 90, 135, 150, 165, 225
30958682112/30517578125	[19 10 -15⟩	24.84	15, 30, 35, 50, 65, 80, 95, 100, 115, 130, 145, 160, 180, 195, 210, 245, 260, 275, 310, 325, 375, 390, 440, 505
31381059609/30517578125	[0 22 -15⟩	48.30	19, 38, 57, 76, 123, 142, 161, 180, 199, 303, 322, 341
31381059609/31250000000	[-7 22 -12⟩	7.25	26, 46, 72, 92, 118, 144, 164, 190, 210, 236, 262, 282, 308, 328, 354, 380, 400, 426, 446, 472, 498, 518, 544, 564, 570, 590, 616, 636, 662, 682, 688, 708, 734, 754, 780, 800, 806, 826, 852, 872, 898, 918, 944, 970, 990, 1016, 1036, 1062, 1088, 1108, 1134, 1154, 1180, 1206, 1226, 1252, 1298, 1324, 1344, 1370, 1416, 1462, 1488, 1534, 1580, 1606, 1652, 1698, 1724, 1770, 1816, 1888, 1934, 2006, 2052, 2124, 2170, 2242, 2288, 2406, 2524, 2642, 2760
32000000000/31381059609	[14 -22 9⟩	33.81	7, 73, 80, 87, 94, 160, 167, 174, 181, 254, 261, 268, 348, 355, 442
32768000000/31381059609	[21 -22 6⟩	74.87	34, 68, 102, 104, 136, 138, 172, 206
34359738368/32958984375	[35 -3 -13⟩	72.06	9, 37, 46, 55, 64, 83, 92, 101
35595703125/34359738368	[-35 6 11⟩	61.18	9, 32, 41, 50, 82, 91, 100, 132, 141
69198046875/68719476736	[-36 11 8⟩	12.01	10, 20, 33, 43, 53, 63, 86, 96, 106, 116, 129, 139, 149, 159, 169, 182, 192, 202, 212, 222, 235, 245, 255, 265, 288, 298, 308, 318, 341, 351, 361, 371, 394, 404, 414, 424, 447, 457, 467, 500, 510, 520, 553, 563, 573, 606, 616, 659, 669, 712, 722, 765, 775, 818
97656250000/94143178827	[4 -23 14⟩	63.43	34, 68, 102, 135, 136, 169, 203, 237, 271
100000000000/94143178827	[11 -23 11⟩	104.49	7, 83, 90, 97, 104
137438953472/134521003125	[37 -16 -5⟩	37.15	12, 24, 36, 85, 97, 109, 121, 133, 145, 157, 206, 218, 230, 242, 254, 266
145282683375/137438953472	[-37 19 3⟩	96.09	31, 62, 93
152587890625/146767085568	[-26 -7 16⟩	67.33	19, 38, 57, 59, 76, 78, 97, 116, 135
152587890625/148769467776	[-7 -19 16⟩	43.87	34, 45, 68, 79, 102, 113, 136, 147, 181, 215, 249, 283, 396, 430
156728328192/152587890625	[15 14 -16⟩	46.35	4, 42, 46, 50, 92, 96, 100, 142, 146, 188, 192, 238, 288, 334
274877906944/261508830075	[38 -21 -2⟩	86.32	34, 68, 102, 107, 136
274877906944/274658203125	[38 -2 -15⟩	1.38	25, 31, 56, 62, 87, 93, 112, 118, 143, 149, 174, 180, 205, 211, 230, 236, 261, 267, 292, 298, 323, 329, 348, 354, 379, 385, 410, 416, 441, 447, 466, 472, 497, 503, 528, 534, 559, 584, 590, 615, 621, 646, 652, 671, 677, 702, 708, 733, 739, 764, 770, 789, 795, 820, 826, 851, 857, 882, 888, 907, 913, 938, 944, 969, 975, 1000, 1006, 1025, 1031, 1056, 1062, 1087, 1093, 1118, 1124, 1143, 1149, 1174, 1180, 1205, 1211, 1230, 1236, 1261, 1267, 1292, 1298, 1323, 1329, 1348, 1354, 1379, 1385, 1410, 1416, 1441, 1447, 1466, 1472, 1497, 1503, 1528, 1534, 1559, 1565, 1584, 1590, 1615, 1621, 1646, 1652, 1677, 1683, 1702, 1708, 1733, 1739, 1764, 1770, 1795, 1820, 1826, 1851, 1857, 1882, 1888, 1907, 1913, 1938, 1944, 1969, 1975, 2000, 2006, 2025, 2031, 2056, 2062, 2087, 2093, 2118, 2124, 2143, 2149, 2174, 2180, 2205, 2211, 2236, 2242, 2261, 2267, 2292, 2298, 2323, 2329, 2354, 2379, 2385, 2410, 2416, 2441, 2447, 2466, 2472, 2497, 2503, 2528, 2534, 2559, 2565, 2584, 2590, 2615, 2621, 2646, 2652, 2677, 2683, 2702, 2708, 2733, 2739, 2764, 2770, 2795, 2801, 2820, 2826, 2851, 2857, 2882, 2888, 2913, 2938, 2944, 2969, 2975, 3000, 3006, 3025, 3031, 3056, 3062, 3087, 3093, 3118, 3124, 3143, 3149, 3174, 3180, 3205, 3211, 3236, 3242, 3261, 3267, 3292, 3298, 3323, 3329, 3354, 3360, 3379, 3385, 3410, 3416, 3441, 3447, 3472, 3478, 3497, 3503, 3528, 3534, 3559, 3565, 3584, 3590, 3615, 3621, 3646, 3652, 3677, 3683, 3702, 3708, 3733, 3739, 3764, 3770, 3795, 3801, 3820, 3826, 3851, 3857, 3882, 3888, 3913, 3919, 3938, 3944, 3969, 3975, 4000, 4006, 4031, 4037, 4056, 4062, 4087, 4093, 4118, 4124, 4149, 4174, 4180, 4205, 4211, 4236, 4242, 4261, 4267, 4292, 4298, 4323, 4329, 4354, 4360, 4379, 4385, 4410, 4416, 4441, 4447, 4472, 4478, 4497, 4503, 4528, 4534, 4559, 4565, 4590, 4596, 4615, 4621, 4646, 4652, 4677, 4683, 4708, 4733, 4739, 4764, 4770, 4795, 4801, 4820, 4826, 4851, 4857, 4882, 4888, 4913, 4919, 4938, 4944, 4969, 4975, 5000, 5006, 5031, 5037, 5056, 5062, 5087, 5093, 5118, 5124, 5149, 5155, 5174, 5180, 5205, 5211, 5236, 5242, 5267, 5292, 5298, 5323, 5329, 5354, 5360, 5379, 5385, 5410, 5416, 5441, 5447, 5472, 5478, 5497, 5503, 5528, 5534, 5559, 5565, 5590, 5596, 5615, 5621, 5646, 5652, 5677, 5683, 5708, 5733, 5739, 5764, 5770, 5795, 5801, 5826, 5851, 5857, 5882, 5888, 5913, 5938, 5944, 5969, 5975, 6000, 6006, 6031, 6056, 6062, 6087, 6093, 6118, 6149, 6174, 6180, 6205, 6236, 6267, 6292, 6298, 6323, 6354, 6385, 6410, 6441, 6472, 6497, 6528, 6559, 6590, 6615, 6646, 6677, 6733, 6764, 6795, 6851, 6882, 6969, 7087, 7174
282429536481/268435456000	[-31 24 -3⟩	87.98	12, 24, 36, 141, 153
549755813888/533935546875	[39 -7 -12⟩	50.55	13, 21, 34, 55, 68, 89, 102, 123, 136, 157
576650390625/549755813888	[-39 10 10⟩	82.69	10, 20, 40, 50, 60, 100, 110
762939453125/743008370688	[-22 -11 17⟩	45.83	19, 38, 57, 71, 76, 90, 109, 128, 147, 166, 218, 237, 256
762939453125/753145430616	[-3 -23 17⟩	22.37	8, 45, 53, 61, 106, 114, 159, 167, 212, 220, 265, 273, 318, 326, 371, 379, 424, 432, 485, 538, 591, 644, 697, 750
782757789696/762939453125	[30 6 -17⟩	44.40	18, 31, 49, 62, 80, 93, 111, 142, 160, 173, 204, 235
793437161472/762939453125	[11 18 -17⟩	67.86	23, 27, 50, 77, 100, 127, 154, 204
847288609443/800000000000	[-14 25 -11⟩	99.42	19, 38, 57, 76, 151, 170
847288609443/819200000000	[-21 25 -8⟩	58.37	7, 89, 96, 103, 110, 185, 192, 199, 288
847288609443/838860800000	[-28 25 -5⟩	17.31	5, 60, 65, 70, 125, 130, 190, 195, 250, 255, 260, 315, 320, 325, 380, 385, 390, 445, 450, 510, 515, 570, 575, 580, 635, 640, 645, 700, 705, 710, 765, 770, 835, 900, 965
858993459200/847288609443	[35 -25 2⟩	23.75	41, 58, 82, 99, 140, 157, 181, 198, 222, 239, 280, 297, 321, 338, 379, 420, 437, 461, 478, 519, 536, 560, 577, 601, 618
1099511627776/1037970703125	[40 -12 -9⟩	99.72	12, 24, 36
1121008359375/1099511627776	[-40 15 7⟩	33.52	2, 41, 43, 82, 84, 86, 125, 127, 129, 166, 168, 170, 209, 211, 250, 252, 293

Commas with denominator <= 2**16, size <= 2187/2048, and primes <= 7

Ratio	Monzo	Cents
16/15	[4 -1 -1⟩	111.73
21/20	[-2 1 -1 1⟩	84.47
25/24	[-3 -1 2⟩	70.67
28/27	[2 -3 0 1⟩	62.96
36/35	[2 2 -1 -1⟩	48.77
49/48	[-4 -1 0 2⟩	35.70
50/49	[1 0 2 -2⟩	34.98
64/63	[6 -2 0 -1⟩	27.26
81/80	[-4 4 -1⟩	21.51
126/125	[1 2 -3 1⟩	13.79
128/125	[7 0 -3⟩	41.06
135/128	[-7 3 1⟩	92.18
200/189	[3 -3 2 -1⟩	97.94
225/224	[-5 2 2 -1⟩	7.71
245/243	[0 -5 1 2⟩	14.19
250/243	[1 -5 3⟩	49.17
256/243	[8 -5⟩	90.22
256/245	[8 0 -1 -2⟩	76.03
343/324	[-2 -4 0 3⟩	98.66
360/343	[3 2 1 -3⟩	83.75
392/375	[3 -1 -3 2⟩	76.76
405/392	[-3 4 1 -2⟩	56.48
525/512	[-9 1 2 1⟩	43.41
625/588	[-2 -1 4 -2⟩	105.65
648/625	[3 4 -4⟩	62.57
686/675	[1 -3 -2 3⟩	27.99
729/686	[-1 6 0 -3⟩	105.25
729/700	[-2 6 -2 -1⟩	70.28
875/864	[-5 -3 3 1⟩	21.90
1029/1000	[-3 1 -3 3⟩	49.49
1029/1024	[-10 1 0 3⟩	8.43
1225/1152	[-7 -2 2 2⟩	106.37
1323/1250	[-1 3 -4 2⟩	98.26
1323/1280	[-8 3 -1 2⟩	57.20
1701/1600	[-6 5 -2 1⟩	105.97
1728/1715	[6 3 -1 -3⟩	13.07
1875/1792	[-8 1 4 -1⟩	78.38
2048/2025	[11 -4 -2⟩	19.55
2187/2048	[-11 7⟩	113.69
2240/2187	[6 -7 1 1⟩	41.45
2401/2250	[-1 -2 -3 4⟩	112.45
2401/2400	[-5 -1 -2 4⟩	0.72
2430/2401	[1 5 1 -4⟩	20.79
2560/2401	[9 0 1 -4⟩	111.01
3125/3024	[-4 -3 5 -1⟩	56.88
3125/3072	[-10 -1 5⟩	29.61
3125/3087	[0 -2 5 -3⟩	21.18
3136/3125	[6 0 -5 2⟩	6.08
3200/3087	[7 -2 2 -3⟩	62.24
3584/3375	[9 -3 -3 1⟩	104.02
3645/3584	[-9 6 1 -1⟩	29.22
4000/3969	[5 -4 3 -2⟩	13.47
4375/4374	[-1 -7 4 1⟩	0.40
4608/4375	[9 2 -4 -1⟩	89.83
5103/5000	[-3 6 -4 1⟩	35.30
5120/5103	[10 -6 1 -1⟩	5.76
5625/5488	[-4 2 4 -3⟩	42.69
6125/5832	[-3 -6 3 2⟩	84.86
6144/6125	[11 1 -3 -2⟩	5.36
6272/6075	[7 -5 -2 2⟩	55.25
6561/6250	[-1 8 -5⟩	84.07
6561/6272	[-7 8 0 -2⟩	77.99
6860/6561	[2 -8 1 3⟩	77.15
7000/6561	[3 -8 3 1⟩	112.13
8192/7875	[13 -2 -3 -1⟩	68.32
8505/8192	[-13 5 1 1⟩	64.91
8575/8192	[-13 0 2 3⟩	79.11
8748/8575	[2 7 -2 -3⟩	34.58
9604/9375	[2 -1 -5 4⟩	41.78
10125/9604	[-2 4 3 -4⟩	91.46
10976/10935	[5 -7 -1 3⟩	6.48
12005/11664	[-4 -6 1 4⟩	49.89
12288/12005	[12 1 -1 -4⟩	40.34
12500/11907	[2 -5 5 -2⟩	84.14
15625/15309	[0 -7 6 -1⟩	35.37
15625/15552	[-6 -5 6⟩	8.11
16000/15309	[7 -7 3 -1⟩	76.43
16128/15625	[8 2 -6 1⟩	54.85
16384/15435	[14 -2 -1 -3⟩	103.30
16464/15625	[4 1 -6 3⟩	90.55
16807/16000	[-7 0 -3 5⟩	85.19
16807/16200	[-3 -4 -2 5⟩	63.68
16807/16384	[-14 0 0 5⟩	44.13
16875/16384	[-14 3 4⟩	51.12
16875/16807	[0 3 4 -5⟩	6.99
17280/16807	[7 3 1 -5⟩	48.05
17496/16807	[3 7 0 -5⟩	69.56
19208/18225	[3 -6 -2 4⟩	90.95
19683/19208	[-3 9 0 -4⟩	42.29
19683/19600	[-4 9 -2 -2⟩	7.32
20000/19683	[5 -9 4⟩	27.66
20480/19683	[12 -9 1⟩	68.72
21609/20480	[-12 2 -1 4⟩	92.90
21875/20736	[-8 -4 5 1⟩	92.57
23328/21875	[5 6 -5 -1⟩	111.34
28672/28125	[12 -2 -5 1⟩	33.35
30375/28672	[-12 5 3 -1⟩	99.89
31104/30625	[7 5 -4 -2⟩	26.87
32805/32768	[-15 8 1⟩	1.95
33075/32768	[-15 3 2 2⟩	16.14
33614/32805	[1 -8 -1 5⟩	42.18
42875/41472	[-9 -4 3 3⟩	57.60
46875/43904	[-7 1 6 -3⟩	113.36
50421/50000	[-4 1 -5 5⟩	14.52
51200/50421	[11 -1 2 -5⟩	26.54
57344/54675	[13 -7 -2 1⟩	82.51
59049/56000	[-6 10 -3 -1⟩	91.78
59049/57344	[-13 10 0 -1⟩	50.72
61250/59049	[1 -10 4 2⟩	63.36
62208/60025	[8 5 -2 -4⟩	61.84
62720/59049	[8 -10 1 2⟩	104.42
64827/62500	[-2 3 -6 4⟩	63.29
64827/64000	[-9 3 -3 4⟩	22.23
65536/64827	[16 -3 0 -4⟩	18.83
65625/65536	[-16 1 5 1⟩	2.35

Commas with numerator < 10000, size <= 2187/2048, and primes <= 13

Ratio	Monzo	Cents
16/15	[4 -1 -1⟩	111.73
21/20	[-2 1 -1 1⟩	84.47
22/21	[1 -1 0 -1 1⟩	80.54
25/24	[-3 -1 2⟩	70.67
26/25	[1 0 -2 0 0 1⟩	67.90
27/26	[-1 3 0 0 0 -1⟩	65.34
28/27	[2 -3 0 1⟩	62.96
33/32	[-5 1 0 0 1⟩	53.27
35/33	[0 -1 1 1 -1⟩	101.87
36/35	[2 2 -1 -1⟩	48.77
40/39	[3 -1 1 0 0 -1⟩	43.83
45/44	[-2 2 1 0 -1⟩	38.91
49/48	[-4 -1 0 2⟩	35.70
50/49	[1 0 2 -2⟩	34.98
52/49	[2 0 0 -2 0 1⟩	102.88
55/52	[-2 0 1 0 1 -1⟩	97.10
55/54	[-1 -3 1 0 1⟩	31.77
56/55	[3 0 -1 1 -1⟩	31.19
64/63	[6 -2 0 -1⟩	27.26
65/63	[0 -2 1 -1 0 1⟩	54.11
65/64	[-6 0 1 0 0 1⟩	26.84
66/65	[1 1 -1 0 1 -1⟩	26.43
77/75	[0 -1 -2 1 1⟩	45.56
78/77	[1 1 0 -1 -1 1⟩	22.34
80/77	[4 0 1 -1 -1⟩	66.17
81/77	[0 4 0 -1 -1⟩	87.68
81/80	[-4 4 -1⟩	21.51
91/88	[-3 0 0 1 -1 1⟩	58.04
91/90	[-1 -2 -1 1 0 1⟩	19.13
96/91	[5 1 0 -1 0 -1⟩	92.60
99/98	[-1 2 0 -2 1⟩	17.58
100/99	[2 -2 2 0 -1⟩	17.40
104/99	[3 -2 0 0 -1 1⟩	85.30
105/104	[-3 1 1 1 0 -1⟩	16.57
117/110	[-1 2 -1 0 -1 1⟩	106.81
117/112	[-4 2 0 -1 0 1⟩	75.61
121/117	[0 -2 0 0 2 -1⟩	58.20
121/120	[-3 -1 -1 0 2⟩	14.37
125/121	[0 0 3 0 -2⟩	56.31
126/121	[1 2 0 1 -2⟩	70.10
126/125	[1 2 -3 1⟩	13.79
128/121	[7 0 0 0 -2⟩	97.36
128/125	[7 0 -3⟩	41.06
132/125	[2 1 -3 0 1⟩	94.33
135/128	[-7 3 1⟩	92.18
143/135	[0 -3 -1 0 1 1⟩	99.67
143/140	[-2 0 -1 -1 1 1⟩	36.71
144/143	[4 2 0 0 -1 -1⟩	12.06
147/143	[0 1 0 2 -1 -1⟩	47.76
150/143	[1 1 2 0 -1 -1⟩	82.74
169/160	[-5 0 -1 0 0 2⟩	94.74
169/162	[-1 -4 0 0 0 2⟩	73.24
169/165	[0 -1 -1 0 -1 2⟩	41.47
169/168	[-3 -1 0 -1 0 2⟩	10.27
175/169	[0 0 2 1 0 -2⟩	60.40
176/169	[4 0 0 0 1 -2⟩	70.26
176/175	[4 0 -2 -1 1⟩	9.86
180/169	[2 2 1 0 0 -2⟩	109.17
196/195	[2 -1 -1 2 0 -1⟩	8.86
200/189	[3 -3 2 -1⟩	97.94
225/224	[-5 2 2 -1⟩	7.71
243/242	[-1 5 0 0 -2⟩	7.14
245/234	[-1 -2 1 2 0 -1⟩	79.53
245/242	[-1 0 1 2 -2⟩	21.33
245/243	[0 -5 1 2⟩	14.19
250/243	[1 -5 3⟩	49.17
256/243	[8 -5⟩	90.22
256/245	[8 0 -1 -2⟩	76.03
273/256	[-8 1 0 1 0 1⟩	111.31
275/273	[0 -1 2 -1 1 -1⟩	12.64
288/275	[5 2 -2 0 -1⟩	79.96
297/280	[-3 3 -1 -1 1⟩	102.04
325/308	[-2 0 2 -1 -1 1⟩	93.01
325/324	[-2 -4 2 0 0 1⟩	5.34
336/325	[4 1 -2 1 0 -1⟩	57.63
343/324	[-2 -4 0 3⟩	98.66
343/325	[0 0 -2 3 0 -1⟩	93.32
343/330	[-1 -1 -1 3 -1⟩	66.89
343/338	[-1 0 0 3 0 -2⟩	25.42
351/343	[0 3 0 -3 0 1⟩	39.91
351/350	[-1 3 -2 -1 0 1⟩	4.94
352/343	[5 0 0 -3 1⟩	44.84
352/351	[5 -3 0 0 1 -1⟩	4.93
360/343	[3 2 1 -3⟩	83.75
363/343	[0 1 0 -3 2⟩	98.11
363/350	[-1 1 -2 -1 2⟩	63.14
364/363	[2 -1 0 1 -2 1⟩	4.76
375/352	[-5 1 3 0 -1⟩	109.58
375/364	[-2 1 3 -1 0 -1⟩	51.54
385/384	[-7 -1 1 1 1⟩	4.50
392/375	[3 -1 -3 2⟩	76.76
405/392	[-3 4 1 -2⟩	56.48
416/405	[5 -4 -1 0 0 1⟩	46.39
441/416	[-5 2 0 2 0 -1⟩	101.03
441/440	[-3 2 -1 2 -1⟩	3.93
448/429	[6 -1 0 1 -1 -1⟩	75.03
455/432	[-4 -3 1 1 0 1⟩	89.80
484/455	[2 0 -1 -1 2 -1⟩	106.97
507/484	[-2 1 0 0 -2 2⟩	80.37
507/490	[-1 1 -1 -2 0 2⟩	59.04
507/500	[-2 1 -3 0 0 2⟩	24.07
512/495	[9 -2 -1 0 -1⟩	58.46
512/507	[9 -1 0 0 0 -2⟩	16.99
525/512	[-9 1 2 1⟩	43.41
539/507	[0 -1 0 2 1 -2⟩	105.96
539/512	[-9 0 0 2 1⟩	88.97
539/520	[-3 0 -1 2 1 -1⟩	62.13
540/539	[2 3 1 -2 -1⟩	3.21
567/550	[-1 4 -2 1 -1⟩	52.70
572/567	[2 -4 0 -1 1 1⟩	15.20
605/567	[0 -4 1 -1 2⟩	112.30
605/576	[-6 -2 1 0 2⟩	85.04
605/588	[-2 -1 1 -2 2⟩	49.34
616/585	[3 -2 -1 1 1 -1⟩	89.39
624/605	[4 1 -1 0 -2 1⟩	53.53
625/588	[-2 -1 4 -2⟩	105.65
625/594	[-1 -3 4 0 -1⟩	88.07
625/616	[-3 0 4 -1 -1⟩	25.11
625/624	[-4 -1 4 0 0 -1⟩	2.77
637/600	[-3 -1 -2 2 0 1⟩	103.60
637/605	[0 0 -1 2 -2 1⟩	89.23
637/625	[0 0 -4 2 0 1⟩	32.92
640/637	[7 0 1 -2 0 -1⟩	8.13
648/625	[3 4 -4⟩	62.57
648/637	[3 4 0 -2 0 -1⟩	29.64
660/637	[2 1 1 -2 1 -1⟩	61.41
675/637	[0 3 2 -2 0 -1⟩	100.31
676/675	[2 -3 -2 0 0 2⟩	2.56
686/675	[1 -3 -2 3⟩	27.99
693/650	[-1 2 -2 1 1 -1⟩	110.90
693/676	[-2 2 0 1 1 -2⟩	43.00
704/675	[6 -3 -2 0 1⟩	72.83
715/672	[-5 -1 1 -1 1 1⟩	107.38
715/686	[-1 0 1 -3 1 1⟩	71.68
729/686	[-1 6 0 -3⟩	105.25
729/700	[-2 6 -2 -1⟩	70.28
729/704	[-6 6 0 0 -1⟩	60.41
729/715	[0 6 -1 0 -1 -1⟩	33.57
729/728	[-3 6 0 -1 0 -1⟩	2.38
735/704	[-6 1 1 2 -1⟩	74.60
756/715	[2 3 -1 1 -1 -1⟩	96.53
770/729	[1 -6 1 1 1⟩	94.73
819/800	[-5 2 -2 1 0 1⟩	40.64
825/784	[-4 1 2 -2 1⟩	88.25
832/825	[6 -1 -2 0 -1 1⟩	14.63
845/792	[-3 -2 1 0 -1 2⟩	112.14
847/800	[-5 0 -2 1 2⟩	98.83
847/810	[-1 -4 -1 1 2⟩	77.33
847/832	[-6 0 0 1 2 -1⟩	30.93
847/845	[0 0 -1 1 2 -2⟩	4.09
864/845	[5 3 -1 0 0 -2⟩	38.50
864/847	[5 3 0 -1 -2⟩	34.40
875/832	[-6 0 3 1 0 -1⟩	87.24
875/858	[-1 -1 3 1 -1 -1⟩	33.97
875/864	[-5 -3 3 1⟩	21.90
882/845	[1 2 -1 2 0 -2⟩	74.19
891/845	[0 4 -1 0 1 -2⟩	91.77
891/875	[0 4 -3 -1 1⟩	31.37
896/845	[7 0 -1 1 0 -2⟩	101.46
896/891	[7 -4 0 1 -1⟩	9.69
900/847	[2 2 2 -1 -2⟩	105.08
910/891	[1 -4 1 1 -1 1⟩	36.53
968/945	[3 -3 -1 -1 2⟩	41.63
975/968	[-3 1 2 0 -2 1⟩	12.47
1001/960	[-6 -1 -1 1 1 1⟩	72.40
1001/972	[-2 -5 0 1 1 1⟩	50.90
1001/1000	[-3 0 -3 1 1 1⟩	1.73
1024/975	[10 -1 -2 0 0 -1⟩	84.89
1024/1001	[10 0 0 -1 -1 -1⟩	39.33
1029/968	[-3 1 0 3 -2⟩	105.80
1029/1000	[-3 1 -3 3⟩	49.49
1029/1024	[-10 1 0 3⟩	8.43
1040/1029	[4 -1 1 -3 0 1⟩	18.41
1053/1000	[-3 4 -3 0 0 1⟩	89.41
1053/1024	[-10 4 0 0 0 1⟩	48.35
1078/1053	[1 -4 0 2 1 -1⟩	40.62
1089/1040	[-4 2 -1 0 2 -1⟩	79.70
1100/1053	[2 -4 2 0 1 -1⟩	75.60
1120/1053	[5 -4 1 1 0 -1⟩	106.79
1120/1089	[5 -2 1 1 -2⟩	48.59
1125/1078	[-1 2 3 -2 -1⟩	73.88
1144/1125	[3 -2 -3 0 1 1⟩	28.99
1183/1125	[0 -2 -3 1 0 2⟩	87.03
1183/1152	[-7 -2 0 1 0 2⟩	45.97
1188/1183	[2 3 0 -1 1 -2⟩	7.30
1200/1183	[4 1 2 -1 0 -2⟩	24.70
1210/1183	[1 0 1 -1 2 -2⟩	39.07
1215/1144	[-3 5 1 0 -1 -1⟩	104.24
1215/1183	[0 5 1 -1 0 -2⟩	46.21
1225/1152	[-7 -2 2 2⟩	106.37
1225/1188	[-2 -3 2 2 -1⟩	53.10
1232/1215	[4 -5 -1 1 1⟩	24.06
1248/1225	[5 1 -2 -2 0 1⟩	32.20
1250/1183	[1 0 4 -1 0 -2⟩	95.37
1274/1215	[1 -5 -1 2 0 1⟩	82.09
1287/1225	[0 2 -2 -2 1 1⟩	85.48
1287/1250	[-1 2 -4 0 1 1⟩	50.50
1287/1280	[-8 2 -1 0 1 1⟩	9.44
1323/1250	[-1 3 -4 2⟩	98.26
1323/1280	[-8 3 -1 2⟩	57.20
1323/1300	[-2 3 -2 2 0 -1⟩	30.36
1331/1248	[-5 -1 0 0 3 -1⟩	111.47
1331/1250	[-1 0 -4 0 3⟩	108.70
1331/1260	[-2 -2 -1 -1 3⟩	94.90
1331/1274	[-1 0 0 -2 3 -1⟩	75.77
1331/1280	[-8 0 -1 0 3⟩	67.64
1331/1296	[-4 -4 0 0 3⟩	46.13
1331/1300	[-2 0 -2 0 3 -1⟩	40.80
1331/1323	[0 -3 0 -2 3⟩	10.44
1344/1331	[6 1 0 1 -3⟩	16.83
1350/1331	[1 3 2 0 -3⟩	24.54
1352/1323	[3 -3 0 -2 0 2⟩	37.54
1352/1331	[3 0 0 0 -3 2⟩	27.10
1365/1331	[0 1 1 1 -3 1⟩	43.67
1372/1287	[2 -2 0 3 -1 -1⟩	110.72
1372/1331	[2 0 0 3 -3⟩	52.52
1375/1296	[-4 -4 3 0 1⟩	102.44
1375/1323	[0 -3 3 -2 1⟩	66.74
1375/1344	[-6 -1 3 -1 1⟩	39.48
1375/1352	[-3 0 3 0 1 -2⟩	29.20
1375/1372	[-2 0 3 -3 1⟩	3.78
1400/1331	[3 0 2 1 -3⟩	87.50
1404/1331	[2 3 0 0 -3 1⟩	92.44
1404/1375	[2 3 -3 0 -1 1⟩	36.13
1408/1323	[7 -3 0 -2 1⟩	107.80
1408/1365	[7 -1 -1 -1 1 -1⟩	53.70
1456/1375	[4 0 -3 1 -1 1⟩	99.09
1458/1375	[1 6 -3 0 -1⟩	101.47
1485/1456	[-4 3 1 -1 1 -1⟩	34.14
1540/1521	[2 -2 1 1 1 -2⟩	21.49
1568/1485	[5 -3 -1 2 -1⟩	94.16
1568/1521	[5 -2 0 2 0 -2⟩	52.69
1573/1500	[-2 -1 -3 0 2 1⟩	82.27
1573/1512	[-3 -3 0 -1 2 1⟩	68.47
1573/1536	[-9 -1 0 0 2 1⟩	41.21
1573/1568	[-5 0 0 -2 2 1⟩	5.51
1575/1573	[0 2 2 1 -2 -1⟩	2.20
1600/1573	[6 0 2 0 -2 -1⟩	29.46
1617/1600	[-6 1 -2 2 1⟩	18.30
1620/1573	[2 4 1 0 -2 -1⟩	50.97
1625/1536	[-9 -1 3 0 0 1⟩	97.51
1625/1568	[-5 0 3 -2 0 1⟩	61.82
1625/1584	[-4 -2 3 0 -1 1⟩	44.24
1625/1617	[0 -1 3 -2 -1 1⟩	8.54
1664/1575	[7 -2 -2 -1 0 1⟩	95.16
1664/1617	[7 -1 0 -2 -1 1⟩	49.60
1690/1617	[1 -1 1 -2 -1 2⟩	76.44
1694/1625	[1 0 -3 1 2 -1⟩	71.99
1701/1600	[-6 5 -2 1⟩	105.97
1701/1625	[0 5 -3 1 0 -1⟩	79.13
1701/1664	[-7 5 0 1 0 -1⟩	38.07
1701/1690	[-1 5 -1 1 0 -2⟩	11.23
1715/1664	[-7 0 1 3 0 -1⟩	52.26
1716/1715	[2 1 -1 -3 1 1⟩	1.01
1728/1625	[6 3 -3 0 0 -1⟩	106.40
1728/1715	[6 3 -1 -3⟩	13.07
1755/1694	[-1 3 1 -1 -2 1⟩	61.24
1760/1701	[5 -5 1 -1 1⟩	59.03
1782/1715	[1 4 -1 -3 1⟩	66.35
1792/1755	[8 -3 -1 1 0 -1⟩	36.12
1815/1792	[-8 1 1 -1 2⟩	22.08
1859/1750	[-1 0 -3 -1 1 2⟩	104.61
1859/1764	[-2 -2 0 -2 1 2⟩	90.81
1859/1792	[-8 0 0 -1 1 2⟩	63.55
1859/1800	[-3 -2 -2 0 1 2⟩	55.84
1875/1792	[-8 1 4 -1⟩	78.38
1875/1859	[0 1 4 0 -1 -2⟩	14.84
1890/1859	[1 3 1 1 -1 -2⟩	28.63
1920/1859	[7 1 1 0 -1 -2⟩	55.90
1925/1872	[-4 -2 2 1 1 -1⟩	48.33
1936/1875	[4 -1 -4 0 2⟩	55.43
1936/1911	[4 -1 0 -2 2 -1⟩	22.50
1944/1859	[3 5 0 0 -1 -2⟩	77.40
1944/1925	[3 5 -2 -1 -1⟩	17.00
1960/1859	[3 0 1 2 -1 -2⟩	91.59
2000/1911	[4 -1 3 -2 0 -1⟩	78.81
2002/1875	[1 -1 -4 1 1 1⟩	113.46
2025/2002	[-1 4 2 -1 -1 -1⟩	19.78
2028/1925	[2 1 -2 -1 -1 2⟩	90.24
2048/1925	[11 0 -2 -1 -1⟩	107.23
2048/2025	[11 -4 -2⟩	19.55
2079/2000	[-4 3 -3 1 1⟩	67.07
2079/2048	[-11 3 0 1 1⟩	26.01
2080/2079	[5 -3 1 -1 -1 1⟩	0.83
2145/2048	[-11 1 1 0 1 1⟩	80.11
2156/2025	[2 -4 -2 2 1⟩	108.52
2187/2048	[-11 7⟩	113.69
2187/2080	[-5 7 -1 0 0 -1⟩	86.84
2187/2156	[-2 7 0 -2 -1⟩	24.72
2197/2058	[-1 -1 0 -3 0 3⟩	113.15
2197/2079	[0 -3 0 -1 -1 3⟩	95.57
2197/2100	[-2 -1 -2 -1 0 3⟩	78.17
2197/2112	[-6 -1 0 0 -1 3⟩	68.31
2197/2156	[-2 0 0 -2 -1 3⟩	32.61
2197/2160	[-4 -3 -1 0 0 3⟩	29.40
2197/2178	[-1 -2 0 0 -2 3⟩	15.04
2197/2187	[0 -7 0 0 0 3⟩	7.90
2200/2187	[3 -7 2 0 1⟩	10.26
2200/2197	[3 0 2 0 1 -3⟩	2.36
2205/2197	[0 2 1 2 0 -3⟩	6.29
2240/2187	[6 -7 1 1⟩	41.45
2240/2197	[6 0 1 1 0 -3⟩	33.56
2250/2197	[1 2 3 0 0 -3⟩	41.27
2268/2197	[2 4 0 1 0 -3⟩	55.06
2275/2178	[-1 -2 2 1 -2 1⟩	75.44
2275/2187	[0 -7 2 1 0 1⟩	68.30
2288/2187	[4 -7 0 0 1 1⟩	78.16
2288/2205	[4 -2 -1 -2 1 1⟩	63.97
2304/2197	[8 2 0 0 0 -3⟩	82.33
2304/2275	[8 2 -2 -1 0 -1⟩	21.93
2310/2197	[1 1 1 1 1 -3⟩	86.83
2376/2275	[3 3 -2 -1 1 -1⟩	75.20
2401/2250	[-1 -2 -3 4⟩	112.45
2401/2288	[-4 0 0 4 -1 -1⟩	83.46
2401/2340	[-2 -2 -1 4 0 -1⟩	44.55
2401/2376	[-3 -3 0 4 -1⟩	18.12
2401/2400	[-5 -1 -2 4⟩	0.72
2420/2401	[2 0 1 -4 2⟩	13.65
2430/2401	[1 5 1 -4⟩	20.79
2457/2420	[-2 3 -1 1 -2 1⟩	26.27
2475/2366	[-1 2 2 -1 1 -2⟩	77.97
2475/2401	[0 2 2 -4 1⟩	52.55
2496/2401	[6 1 0 -4 0 1⟩	67.18
2500/2457	[2 -3 4 -1 0 -1⟩	30.04
2535/2401	[0 1 1 -4 0 2⟩	94.02
2535/2464	[-5 1 1 -1 -1 2⟩	49.18
2541/2500	[-2 1 -4 1 2⟩	28.16
2548/2475	[2 -2 -2 2 -1 1⟩	50.32
2560/2401	[9 0 1 -4⟩	111.01
2560/2457	[9 -3 1 -1 0 -1⟩	71.10
2560/2541	[9 -1 1 -1 -2⟩	12.90
2600/2541	[3 -1 2 -1 -2 1⟩	39.74
2662/2535	[1 -1 -1 0 3 -2⟩	84.63
2662/2625	[1 -1 -3 -1 3⟩	24.23
2673/2548	[-2 5 0 -2 1 -1⟩	82.91
2673/2560	[-9 5 -1 0 1⟩	74.78
2673/2600	[-3 5 -2 0 1 -1⟩	47.94
2695/2592	[-5 -4 1 2 1⟩	67.46
2704/2541	[4 -1 0 -1 -2 2⟩	107.64
2704/2625	[4 -1 -3 -1 0 2⟩	51.33
2704/2673	[4 -5 0 0 -1 2⟩	19.96
2704/2695	[4 0 -1 -2 -1 2⟩	5.77
2744/2673	[3 -5 0 3 -1⟩	45.38
2800/2673	[4 -5 2 1 -1⟩	80.36
2808/2695	[3 3 -1 -2 -1 1⟩	71.11
2835/2662	[-1 4 1 1 -3⟩	109.01
2835/2704	[-4 4 1 1 0 -2⟩	81.90
2835/2816	[-8 4 1 1 -1⟩	11.64
2925/2744	[-3 2 2 -3 0 1⟩	110.59
2925/2816	[-8 2 2 0 -1 1⟩	65.75
3025/2912	[-5 0 2 -1 2 -1⟩	65.91
3025/3024	[-4 -3 2 -1 2⟩	0.57
3042/3025	[1 2 -2 0 -2 2⟩	9.70
3072/3025	[10 1 -2 0 -2⟩	26.69
3087/3025	[0 2 -2 3 -2⟩	35.12
3125/3003	[0 -1 5 -1 -1 -1⟩	68.94
3125/3024	[-4 -3 5 -1⟩	56.88
3125/3042	[-1 -2 5 0 0 -2⟩	46.60
3125/3072	[-10 -1 5⟩	29.61
3125/3087	[0 -2 5 -3⟩	21.18
3136/3125	[6 0 -5 2⟩	6.08
3146/3087	[1 -2 0 -3 2 1⟩	32.78
3146/3125	[1 0 -5 0 2 1⟩	11.59
3159/3025	[0 5 -2 0 -2 1⟩	75.04
3159/3080	[-3 5 -1 -1 -1 1⟩	43.85
3159/3125	[0 5 -5 0 0 1⟩	18.73
3159/3136	[-6 5 0 -2 0 1⟩	12.65
3168/3125	[5 2 -5 0 1⟩	23.66
3185/3072	[-10 -1 1 2 0 1⟩	62.54
3185/3168	[-5 -2 1 2 -1 1⟩	9.27
3200/3003	[7 -1 2 -1 -1 -1⟩	110.00
3200/3087	[7 -2 2 -3⟩	62.24
3200/3159	[7 -5 2 0 0 -1⟩	22.32
3234/3125	[1 1 -5 2 1⟩	59.36
3250/3087	[1 -2 3 -3 0 1⟩	89.08
3267/3125	[0 3 -5 0 2⟩	76.93
3267/3136	[-6 3 0 -2 2⟩	70.85
3267/3185	[0 3 -1 -2 2 -1⟩	44.01
3267/3200	[-7 3 -2 0 2⟩	35.87
3267/3250	[-1 3 -3 0 2 -1⟩	9.03
3276/3125	[2 2 -5 1 0 1⟩	81.70
3328/3125	[8 0 -5 0 0 1⟩	108.96
3328/3267	[8 -3 0 0 -2 1⟩	32.03
3375/3328	[-8 3 3 0 0 -1⟩	24.28
3380/3267	[2 -3 1 0 -2 2⟩	58.87
3388/3375	[2 -3 -3 1 2⟩	6.66
3430/3267	[1 -3 1 3 -2⟩	84.29
3465/3328	[-8 2 1 1 1 -1⟩	69.84
3549/3520	[-6 1 -1 1 -1 2⟩	14.20
3575/3402	[-1 -5 2 -1 1 1⟩	85.87
3575/3456	[-7 -3 2 0 1 1⟩	58.61
3575/3528	[-3 -2 2 -2 1 1⟩	22.91
3584/3375	[9 -3 -3 1⟩	104.02
3584/3575	[9 0 -2 1 -1 -1⟩	4.35
3645/3584	[-9 6 1 -1⟩	29.22
3718/3645	[1 -6 -1 0 1 2⟩	34.33
3718/3675	[1 -1 -2 -2 1 2⟩	20.14
3773/3600	[-4 -2 -2 3 1⟩	81.26
3773/3645	[0 -6 -1 3 1⟩	59.75
3773/3744	[-5 -2 0 3 1 -1⟩	13.36
3773/3750	[-1 -1 -4 3 1⟩	10.59
3840/3773	[8 1 1 -3 -1⟩	30.47
3872/3645	[5 -6 -1 0 2⟩	104.59
3872/3675	[5 -1 -2 -2 2⟩	90.40
3888/3773	[4 5 0 -3 -1⟩	51.98
3900/3773	[2 1 2 -3 -1 1⟩	57.31
3920/3861	[4 -3 1 2 -1 -1⟩	26.25
3969/3718	[-1 4 0 2 -1 -2⟩	113.10
3969/3872	[-5 4 0 2 -2⟩	42.84
3993/3920	[-4 1 -1 -2 3⟩	31.94
4000/3773	[5 0 3 -3 -1⟩	101.15
4000/3861	[5 -3 3 0 -1 -1⟩	61.23
4000/3969	[5 -4 3 -2⟩	13.47
4000/3993	[5 -1 3 0 -3⟩	3.03
4095/3872	[-5 2 1 1 -2 1⟩	96.94
4096/3861	[12 -3 0 0 -1 -1⟩	102.29
4096/3993	[12 -1 0 0 -3⟩	44.09
4096/4095	[12 -2 -1 -1 0 -1⟩	0.42
4125/4096	[-12 1 3 0 1⟩	12.21
4160/3969	[6 -4 1 -2 0 1⟩	81.37
4160/3993	[6 -1 1 0 -3 1⟩	70.93
4225/3993	[0 -1 2 0 -3 2⟩	97.77
4225/4032	[-6 -2 2 -1 0 2⟩	80.95
4225/4116	[-2 -1 2 -3 0 2⟩	45.25
4225/4158	[-1 -3 2 -1 -1 2⟩	27.67
4225/4224	[-7 -1 2 0 -1 2⟩	0.41
4235/4056	[-3 -1 1 1 2 -2⟩	74.77
4235/4096	[-12 0 1 1 2⟩	57.78
4235/4212	[-2 -4 1 1 2 -1⟩	9.43
4312/4225	[3 0 -2 2 1 -2⟩	35.29
4374/4225	[1 7 -2 0 0 -2⟩	60.00
4374/4235	[1 7 -1 -1 -2⟩	55.91
4375/4212	[-2 -4 4 1 0 -1⟩	65.73
4375/4224	[-7 -1 4 1 -1⟩	60.81
4375/4356	[-2 -2 4 1 -2⟩	7.53
4375/4374	[-1 -7 4 1⟩	0.40
4394/4125	[1 -1 -3 0 -1 3⟩	109.37
4394/4235	[1 0 -1 -1 -2 3⟩	63.81
4394/4375	[1 0 -4 -1 0 3⟩	7.50
4455/4394	[-1 4 1 0 1 -3⟩	23.87
4459/4224	[-7 -1 0 3 -1 1⟩	93.73
4459/4320	[-5 -3 -1 3 0 1⟩	54.83
4459/4356	[-2 -2 0 3 -2 1⟩	40.46
4459/4374	[-1 -7 0 3 0 1⟩	33.32
4459/4400	[-4 0 -2 3 -1 1⟩	23.06
4459/4455	[0 -4 -1 3 -1 1⟩	1.55
4500/4459	[2 2 3 -3 0 -1⟩	15.85
4563/4312	[-3 3 0 -2 -1 2⟩	97.95
4563/4375	[0 3 -4 -1 0 2⟩	72.84
4563/4400	[-4 3 -2 0 -1 2⟩	62.97
4563/4480	[-7 3 -1 -1 0 2⟩	31.78
4576/4375	[5 0 -4 -1 1 1⟩	77.76
4608/4375	[9 2 -4 -1⟩	89.83
4608/4459	[9 2 0 -3 0 -1⟩	56.90
4719/4480	[-7 1 -1 -1 2 1⟩	89.98
4725/4576	[-5 3 2 1 -1 -1⟩	55.47
4732/4455	[2 -4 -1 1 -1 2⟩	104.43
4752/4459	[4 3 0 -3 1 -1⟩	110.18
4802/4563	[1 -3 0 4 0 -2⟩	88.38
4802/4719	[1 -1 0 4 -2 -1⟩	30.19
4840/4563	[3 -3 1 0 2 -2⟩	102.03
4875/4802	[-1 1 3 -4 0 1⟩	26.12
4900/4719	[2 -1 2 2 -2 -1⟩	65.16
4928/4875	[6 -1 -3 1 1 -1⟩	18.72
5000/4719	[3 -1 4 0 -2 -1⟩	100.14
5000/4851	[3 -2 4 -2 -1⟩	52.38
5103/4840	[-3 6 -1 1 -2⟩	91.61
5103/5000	[-3 6 -4 1⟩	35.30
5120/4851	[10 -2 1 -2 -1⟩	93.43
5120/5103	[10 -6 1 -1⟩	5.76
5184/5005	[6 4 -1 -1 -1 -1⟩	60.83
5200/5103	[4 -6 2 -1 0 1⟩	32.60
5324/5103	[2 -6 0 -1 3⟩	73.40
5324/5145	[2 -1 -1 -3 3⟩	59.21
5324/5265	[2 -4 -1 0 3 -1⟩	19.29
5408/5103	[5 -6 0 -1 0 2⟩	100.50
5408/5145	[5 -1 -1 -3 0 2⟩	86.31
5445/5408	[-5 2 1 0 2 -2⟩	11.80
5488/5265	[4 -4 -1 3 0 -1⟩	71.82
5488/5445	[4 -2 -1 3 -2⟩	13.62
5577/5488	[-4 1 0 -3 1 2⟩	27.85
5600/5577	[5 -1 2 1 -1 -2⟩	7.13
5625/5324	[-2 2 4 0 -3⟩	95.21
5625/5408	[-5 2 4 0 0 -2⟩	68.11
5625/5488	[-4 2 4 -3⟩	42.69
5632/5625	[9 -2 -4 0 1⟩	2.15
5733/5500	[-2 2 -3 2 -1 1⟩	71.83
5733/5632	[-9 2 0 2 -1 1⟩	30.77
5775/5408	[-5 1 2 1 1 -2⟩	113.67
5824/5625	[6 -2 -4 1 0 1⟩	60.19
5915/5632	[-9 0 1 1 -1 2⟩	84.88
5915/5808	[-4 -1 1 1 -2 2⟩	31.60
5915/5832	[-3 -6 1 1 0 2⟩	24.46
5929/5616	[-4 -3 0 2 2 -1⟩	93.90
5929/5760	[-7 -2 -1 2 2⟩	50.06
5929/5832	[-3 -6 0 2 2⟩	28.56
5929/5850	[-1 -2 -2 2 2 -1⟩	23.22
6000/5929	[4 1 3 -2 -2⟩	20.61
6050/5733	[1 -2 2 -2 2 -1⟩	93.17
6075/5824	[-6 5 2 -1 0 -1⟩	73.05
6075/5929	[0 5 2 -2 -2⟩	42.11
6125/5808	[-4 -1 3 2 -2⟩	92.00
6125/5832	[-3 -6 3 2⟩	84.86
6125/6084	[-2 -2 3 2 0 -2⟩	11.63
6144/5915	[11 1 -1 -1 0 -2⟩	65.76
6144/5929	[11 1 0 -2 -2⟩	61.67
6144/6125	[11 1 -3 -2⟩	5.36
6240/5929	[5 1 1 -2 -2 1⟩	88.51
6250/5929	[1 0 5 -2 -2⟩	91.28
6250/6237	[1 -4 5 -1 -1⟩	3.60
6272/6075	[7 -5 -2 2⟩	55.25
6292/6075	[2 -5 -2 0 2 1⟩	60.76
6292/6125	[2 0 -3 -2 2 1⟩	46.57
6318/5929	[1 5 0 -2 -2 1⟩	110.01
6318/6125	[1 5 -3 -2 0 1⟩	53.71
6336/6125	[6 2 -3 -2 1⟩	58.63
6400/6237	[8 -4 2 -1 -1⟩	44.66
6435/6272	[-7 2 1 -2 1 1⟩	44.42
6500/6237	[2 -4 3 -1 -1 1⟩	71.50
6534/6125	[1 3 -3 -2 2⟩	111.91
6561/6160	[-4 8 -1 -1 -1⟩	109.18
6561/6250	[-1 8 -5⟩	84.07
6561/6272	[-7 8 0 -2⟩	77.99
6561/6292	[-2 8 0 0 -2 -1⟩	72.48
6561/6370	[-1 8 -1 -2 0 -1⟩	51.15
6561/6500	[-2 8 -3 0 0 -1⟩	16.17
6591/6250	[-1 1 -5 0 0 3⟩	91.97
6591/6272	[-7 1 0 -2 0 3⟩	85.89
6591/6400	[-8 1 -2 0 0 3⟩	50.91
6615/6292	[-2 3 1 2 -2 -1⟩	86.67
6655/6272	[-7 0 1 -2 3⟩	102.62
6655/6318	[-1 -5 1 0 3 -1⟩	89.96
6655/6552	[-3 -2 1 -1 3 -1⟩	27.00
6655/6561	[0 -8 1 0 3⟩	24.63
6655/6591	[0 -1 1 0 3 -3⟩	16.73
6656/6237	[9 -4 0 -1 -1 1⟩	112.56
6656/6561	[9 -8 0 0 0 1⟩	24.89
6656/6615	[9 -3 -1 -2 0 1⟩	10.70
6656/6655	[9 0 -1 0 -3 1⟩	0.26
6760/6561	[3 -8 1 0 0 2⟩	51.73
6776/6561	[3 -8 0 1 2⟩	55.82
6776/6591	[3 -1 0 1 2 -3⟩	47.92
6804/6655	[2 5 -1 1 -3⟩	38.33
6860/6561	[2 -8 1 3⟩	77.15
6860/6591	[2 -1 1 3 0 -3⟩	69.25
6875/6552	[-3 -2 4 -1 1 -1⟩	83.31
6875/6561	[0 -8 4 0 1⟩	80.93
6875/6591	[0 -1 4 0 1 -3⟩	73.03
6875/6656	[-9 0 4 0 1 -1⟩	56.05
6875/6804	[-2 -5 4 -1 1⟩	17.97
6912/6655	[8 3 -1 0 -3⟩	65.60
6912/6875	[8 3 -4 0 -1⟩	9.29
7000/6561	[3 -8 3 1⟩	112.13
7000/6591	[3 -1 3 1 0 -3⟩	104.23
7007/6750	[-1 -3 -3 2 1 1⟩	64.69
7007/6912	[-8 -3 0 2 1 1⟩	23.63
7056/6655	[4 2 -1 2 -3⟩	101.29
7056/6875	[4 2 -4 2 -1⟩	44.99
7098/6655	[1 1 -1 1 -3 2⟩	111.57
7098/6875	[1 1 -4 1 -1 2⟩	55.26
7168/6875	[10 0 -4 1 -1⟩	72.25
7200/7007	[5 2 2 -2 -1 -1⟩	47.04
7203/6760	[-3 1 -1 4 0 -2⟩	109.89
7203/6875	[0 1 -4 4 -1⟩	80.69
7203/7040	[-7 1 -1 4 -1⟩	39.63
7203/7150	[-1 1 -2 4 -1 -1⟩	12.79
7290/7007	[1 6 1 -2 -1 -1⟩	68.55
7371/7040	[-7 4 -1 1 -1 1⟩	79.54
7425/7168	[-10 3 2 -1 1⟩	60.98
7436/7203	[2 -1 0 -4 1 2⟩	55.11
7605/7168	[-10 2 1 -1 0 2⟩	102.45
7605/7546	[-1 2 1 -3 -1 2⟩	13.48
7744/7371	[6 -4 0 -1 2 -1⟩	85.46
7744/7605	[6 -2 -1 0 2 -2⟩	31.36
7865/7776	[-5 -5 1 0 2 1⟩	19.70
7875/7436	[-2 2 3 1 -1 -2⟩	99.30
7875/7744	[-6 2 3 1 -2⟩	29.04
7938/7865	[1 4 -1 2 -2 -1⟩	15.99
8000/7623	[6 -2 3 -1 -2⟩	83.57
8019/7840	[-5 6 -1 -2 1⟩	39.08
8019/8000	[-6 6 -3 0 1⟩	4.11
8064/7865	[7 2 -1 1 -2 -1⟩	43.26
8125/7623	[0 -2 4 -1 -2 1⟩	110.41
8125/7744	[-6 0 4 0 -2 1⟩	83.15
8125/7776	[-5 -5 4 0 0 1⟩	76.01
8125/7938	[-1 -4 4 -2 0 1⟩	40.31
8125/7986	[-1 -1 4 0 -3 1⟩	29.87
8125/8019	[0 -6 4 0 -1 1⟩	22.73
8125/8064	[-7 -2 4 -1 0 1⟩	13.05
8192/7865	[13 0 -1 0 -2 -1⟩	70.52
8192/7875	[13 -2 -3 -1⟩	68.32
8192/8019	[13 -6 0 0 -1⟩	36.95
8192/8085	[13 -1 -1 -2 -1⟩	22.76
8192/8125	[13 0 -4 0 0 -1⟩	14.22
8232/7865	[3 1 -1 3 -2 -1⟩	78.96
8232/8125	[3 1 -4 3 0 -1⟩	22.65
8281/7776	[-5 -5 0 2 0 2⟩	108.93
8281/7920	[-4 -2 -1 2 -1 2⟩	77.17
8281/7986	[-1 -1 0 2 -3 2⟩	62.80
8281/8000	[-6 0 -3 2 0 2⟩	59.77
8281/8019	[0 -6 0 2 -1 2⟩	55.66
8281/8192	[-13 0 0 2 0 2⟩	18.71
8281/8250	[-1 -1 -3 2 -1 2⟩	6.49
8316/8125	[2 3 -4 1 1 -1⟩	40.23
8320/8019	[7 -6 1 0 -1 1⟩	63.79
8448/8125	[8 1 -4 0 1 -1⟩	67.49
8448/8281	[8 1 0 -2 1 -2⟩	34.57
8450/8019	[1 -6 2 0 -1 2⟩	90.63
8505/8192	[-13 5 1 1⟩	64.91
8575/8112	[-4 -1 2 3 0 -2⟩	96.09
8575/8192	[-13 0 2 3⟩	79.11
8575/8424	[-3 -4 2 3 0 -1⟩	30.76
8575/8448	[-8 -1 2 3 -1⟩	25.83
8624/8125	[4 0 -4 2 1 -1⟩	103.19
8640/8281	[6 3 1 -2 0 -2⟩	73.47
8712/8281	[3 2 0 -2 2 -2⟩	87.84
8712/8575	[3 2 -2 -3 2⟩	27.44
8748/8281	[2 7 0 -2 0 -2⟩	94.98
8748/8575	[2 7 -2 -3⟩	34.58
8775/8624	[-4 3 2 -2 -1 1⟩	30.05
8788/8505	[2 -5 -1 -1 0 3⟩	56.67
8788/8575	[2 0 -2 -3 0 3⟩	42.48
8800/8281	[5 0 2 -2 1 -2⟩	105.24
9075/8788	[-2 1 2 0 2 -3⟩	55.64
9075/8918	[-1 1 2 -3 2 -1⟩	30.21
9126/8575	[1 3 -2 -3 0 2⟩	107.82
9152/8575	[6 0 -2 -3 1 1⟩	112.74
9261/8788	[-2 3 0 3 0 -3⟩	90.76
9261/8800	[-5 3 -2 3 -1⟩	88.40
9261/9152	[-6 3 0 3 -1 -1⟩	20.50
9295/8748	[-2 -7 1 0 1 2⟩	105.00
9295/9072	[-4 -4 1 -1 1 2⟩	42.04
9295/9216	[-10 -2 1 0 1 2⟩	14.78
9295/9261	[0 -3 1 -3 1 2⟩	6.34
9317/8748	[-2 -7 0 1 3⟩	109.09
9317/8775	[0 -3 -2 1 3 -1⟩	103.76
9317/8788	[-2 0 0 1 3 -3⟩	101.20
9317/9000	[-3 -2 -3 1 3⟩	59.93
9317/9126	[-1 -3 0 1 3 -2⟩	35.86
9317/9216	[-10 -2 0 1 3⟩	18.87
9360/9317	[4 2 1 -1 -3 1⟩	7.97
9375/8788	[-2 1 5 0 0 -3⟩	111.94
9375/8918	[-1 1 5 -3 0 -1⟩	86.52
9375/9152	[-6 1 5 0 -1 -1⟩	41.68
9375/9317	[0 1 5 -1 -3⟩	10.74
9408/9295	[6 1 -1 2 -1 -2⟩	20.92
9464/9075	[3 -1 -2 1 -2 2⟩	72.66
9464/9375	[3 -1 -5 1 0 2⟩	16.36
9477/8960	[-8 6 -1 -1 0 1⟩	97.12
9477/9317	[0 6 0 -1 -3 1⟩	29.48
9600/9317	[7 1 2 -1 -3⟩	51.80
9604/9075	[2 -1 -2 4 -2⟩	98.09
9604/9295	[2 0 -1 4 -1 -2⟩	56.62
9604/9375	[2 -1 -5 4⟩	41.78
9604/9477	[2 -6 0 4 0 -1⟩	23.05
9625/9126	[-1 -3 3 1 1 -2⟩	92.16
9625/9216	[-10 -2 3 1 1⟩	75.17
9625/9477	[0 -6 3 1 1 -1⟩	26.83
9680/9261	[4 -3 1 -3 2⟩	76.61
9680/9477	[4 -6 1 0 2 -1⟩	36.69
9720/9317	[3 5 1 -1 -3⟩	73.31
9750/9317	[1 1 3 -1 -3 1⟩	78.64
9800/9477	[3 -6 2 2 0 -1⟩	58.02
9801/9464	[-3 4 0 -1 2 -2⟩	60.57
9801/9800	[-3 4 -2 -2 2⟩	0.18
9856/9375	[7 -1 -5 1 1⟩	86.62
9856/9477	[7 -6 0 1 1 -1⟩	67.89
9984/9625	[8 1 -3 -1 -1 1⟩	63.40

@@ Line 1: / Line 1: @@
-== Commas with numerator <= 1024 and size <= 16/15 ==
+== Commas with denominator <= 2**40, size <= 2187/2048, and primes <= 5 ==
-{| class="wikitable"
+{| class="wikitable sortable"
 ! [[Ratio]]
 ! [[Monzo]]
 ! [[Cent]]s
+! EDOs tempering out the comma by patent val
 |-
-| [[1001/1000]]
+| [[16/15]]
-| [-3 0 -3 1 1 1⟩
+| [4 -1 -1⟩
-| 1.730
+| 111.73
+| [[1edo|1]], [[2edo|2]], [[3edo|3]], [[5edo|5]], [[6edo|6]], [[8edo|8]]
+|-
+| [[25/24]]
+| [-3 -1 2⟩
+| 70.67
+| [[3edo|3]], [[4edo|4]], [[6edo|6]], [[7edo|7]], [[10edo|10]], [[13edo|13]], [[17edo|17]], [[20edo|20]]
+|-
+| [[81/80]]
+| [-4 4 -1⟩
+| 21.51
+| [[5edo|5]], [[7edo|7]], [[12edo|12]], [[19edo|19]], [[24edo|24]], [[26edo|26]], [[31edo|31]], [[36edo|36]], [[38edo|38]], [[43edo|43]], [[45edo|45]], [[50edo|50]], [[55edo|55]], [[57edo|57]], [[62edo|62]], [[67edo|67]], [[69edo|69]], [[74edo|74]], [[76edo|76]], [[81edo|81]], [[86edo|86]], [[88edo|88]], [[93edo|93]], [[98edo|98]], [[100edo|100]], [[105edo|105]], [[117edo|117]], [[129edo|129]]
+|-
+| [[128/125]]
+| [7 0 -3⟩
+| 41.06
+| [[3edo|3]], [[6edo|6]], [[9edo|9]], [[12edo|12]], [[15edo|15]], [[18edo|18]], [[21edo|21]], [[24edo|24]], [[27edo|27]], [[30edo|30]], [[33edo|33]], [[36edo|36]], [[39edo|39]], [[42edo|42]]
+|-
+| [[135/128]]
+| [-7 3 1⟩
+| 92.18
+| [[2edo|2]], [[7edo|7]], [[9edo|9]], [[11edo|11]], [[16edo|16]], [[23edo|23]]
+|-
+| [[250/243]]
+| [1 -5 3⟩
+| 49.17
+| [[7edo|7]], [[8edo|8]], [[15edo|15]], [[22edo|22]], [[29edo|29]], [[30edo|30]], [[37edo|37]], [[44edo|44]], [[51edo|51]], [[59edo|59]], [[66edo|66]]
+|-
+| [[256/243]]
+| [8 -5⟩
+| 90.22
+| [[5edo|5]], [[10edo|10]], [[15edo|15]], [[20edo|20]], [[25edo|25]], [[30edo|30]]
+|-
+| [[648/625]]
+| [3 4 -4⟩
+| 62.57
+| [[4edo|4]], [[8edo|8]], [[12edo|12]], [[16edo|16]], [[24edo|24]], [[28edo|28]], [[36edo|36]], [[40edo|40]], [[52edo|52]], [[64edo|64]]
+|-
+| [[2048/2025]]
+| [11 -4 -2⟩
+| 19.55
+| [[2edo|2]], [[10edo|10]], [[12edo|12]], [[14edo|14]], [[20edo|20]], [[22edo|22]], [[24edo|24]], [[32edo|32]], [[34edo|34]], [[36edo|36]], [[44edo|44]], [[46edo|46]], [[54edo|54]], [[56edo|56]], [[58edo|58]], [[66edo|66]], [[68edo|68]], [[70edo|70]], [[78edo|78]], [[80edo|80]], [[90edo|90]], [[92edo|92]], [[102edo|102]], [[112edo|112]], [[114edo|114]], [[124edo|124]], [[126edo|126]], [[136edo|136]], [[148edo|148]], [[160edo|160]]
+|-
+| [[2187/2048]]
+| [-11 7⟩
+| 113.69
+| [[7edo|7]], [[14edo|14]], [[21edo|21]], [[28edo|28]], [[35edo|35]]
+|-
+| [[3125/3072]]
+| [-10 -1 5⟩
+| 29.61
+| [[3edo|3]], [[6edo|6]], [[16edo|16]], [[19edo|19]], [[22edo|22]], [[25edo|25]], [[35edo|35]], [[38edo|38]], [[41edo|41]], [[44edo|44]], [[57edo|57]], [[60edo|60]], [[63edo|63]], [[66edo|66]], [[76edo|76]], [[79edo|79]], [[82edo|82]], [[85edo|85]], [[104edo|104]], [[107edo|107]]
+|-
+| [[6561/6250]]
+| [-1 8 -5⟩
+| 84.07
+| [[12edo|12]], [[23edo|23]], [[24edo|24]], [[35edo|35]], [[36edo|36]], [[47edo|47]]
+|-
+| [[15625/15552]]
+| [-6 -5 6⟩
+| 8.11
+| [[4edo|4]], [[15edo|15]], [[19edo|19]], [[23edo|23]], [[30edo|30]], [[34edo|34]], [[38edo|38]], [[49edo|49]], [[53edo|53]], [[57edo|57]], [[68edo|68]], [[72edo|72]], [[76edo|76]], [[83edo|83]], [[87edo|87]], [[91edo|91]], [[102edo|102]], [[106edo|106]], [[110edo|110]], [[121edo|121]], [[125edo|125]], [[136edo|136]], [[140edo|140]], [[144edo|144]], [[155edo|155]], [[159edo|159]], [[163edo|163]], [[174edo|174]], [[178edo|178]], [[189edo|189]], [[193edo|193]], [[197edo|197]], [[208edo|208]], [[212edo|212]], [[227edo|227]], [[231edo|231]], [[242edo|242]], [[246edo|246]], [[250edo|250]], [[261edo|261]], [[265edo|265]], [[280edo|280]], [[284edo|284]], [[295edo|295]], [[299edo|299]], [[314edo|314]], [[318edo|318]], [[333edo|333]], [[337edo|337]], [[348edo|348]], [[352edo|352]], [[367edo|367]], [[371edo|371]], [[386edo|386]], [[401edo|401]], [[405edo|405]], [[420edo|420]], [[424edo|424]], [[439edo|439]], [[454edo|454]], [[458edo|458]], [[473edo|473]], [[492edo|492]], [[507edo|507]], [[526edo|526]], [[545edo|545]], [[560edo|560]], [[579edo|579]], [[613edo|613]], [[632edo|632]], [[666edo|666]], [[719edo|719]]
+|-
+| [[16875/16384]]
+| [-14 3 4⟩
+| 51.12
+| [[1edo|1]], [[9edo|9]], [[10edo|10]], [[19edo|19]], [[20edo|20]], [[28edo|28]], [[29edo|29]], [[38edo|38]], [[47edo|47]], [[48edo|48]], [[57edo|57]], [[76edo|76]]
+|-
+| [[20000/19683]]
+| [5 -9 4⟩
+| 27.66
+| [[7edo|7]], [[27edo|27]], [[34edo|34]], [[41edo|41]], [[48edo|48]], [[61edo|61]], [[68edo|68]], [[75edo|75]], [[82edo|82]], [[95edo|95]], [[102edo|102]], [[109edo|109]], [[116edo|116]], [[136edo|136]], [[143edo|143]], [[150edo|150]], [[177edo|177]], [[184edo|184]], [[191edo|191]], [[218edo|218]], [[225edo|225]], [[259edo|259]]
+|-
+| [[20480/19683]]
+| [12 -9 1⟩
+| 68.72
+| [[5edo|5]], [[17edo|17]], [[22edo|22]], [[27edo|27]], [[44edo|44]], [[49edo|49]], [[66edo|66]], [[71edo|71]]
+|-
+| [[32805/32768]]
+| [-15 8 1⟩
+| 1.95
+| [[12edo|12]], [[17edo|17]], [[24edo|24]], [[29edo|29]], [[36edo|36]], [[41edo|41]], [[53edo|53]], [[65edo|65]], [[77edo|77]], [[82edo|82]], [[89edo|89]], [[94edo|94]], [[101edo|101]], [[106edo|106]], [[118edo|118]], [[130edo|130]], [[135edo|135]], [[142edo|142]], [[147edo|147]], [[154edo|154]], [[159edo|159]], [[171edo|171]], [[183edo|183]], [[195edo|195]], [[200edo|200]], [[207edo|207]], [[212edo|212]], [[219edo|219]], [[224edo|224]], [[236edo|236]], [[248edo|248]], [[253edo|253]], [[260edo|260]], [[265edo|265]], [[272edo|272]], [[277edo|277]], [[289edo|289]], [[301edo|301]], [[313edo|313]], [[318edo|318]], [[325edo|325]], [[330edo|330]], [[342edo|342]], [[354edo|354]], [[366edo|366]], [[371edo|371]], [[378edo|378]], [[383edo|383]], [[390edo|390]], [[395edo|395]], [[407edo|407]], [[419edo|419]], [[424edo|424]], [[431edo|431]], [[436edo|436]], [[443edo|443]], [[448edo|448]], [[460edo|460]], [[472edo|472]], [[484edo|484]], [[489edo|489]], [[496edo|496]], [[501edo|501]], [[508edo|508]], [[513edo|513]], [[525edo|525]], [[537edo|537]], [[542edo|542]], [[549edo|549]], [[554edo|554]], [[561edo|561]], [[566edo|566]], [[578edo|578]], [[590edo|590]], [[602edo|602]], [[607edo|607]], [[614edo|614]], [[619edo|619]], [[626edo|626]], [[631edo|631]], [[643edo|643]], [[655edo|655]], [[660edo|660]], [[667edo|667]], [[672edo|672]], [[679edo|679]], [[684edo|684]], [[696edo|696]], [[708edo|708]], [[720edo|720]], [[725edo|725]], [[732edo|732]], [[737edo|737]], [[744edo|744]], [[749edo|749]], [[761edo|761]], [[773edo|773]], [[778edo|778]], [[785edo|785]], [[790edo|790]], [[797edo|797]], [[802edo|802]], [[814edo|814]], [[826edo|826]], [[838edo|838]], [[843edo|843]], [[850edo|850]], [[855edo|855]], [[862edo|862]], [[867edo|867]], [[879edo|879]], [[891edo|891]], [[896edo|896]], [[903edo|903]], [[908edo|908]], [[915edo|915]], [[920edo|920]], [[932edo|932]], [[944edo|944]], [[956edo|956]], [[961edo|961]], [[968edo|968]], [[973edo|973]], [[985edo|985]], [[997edo|997]], [[1009edo|1009]], [[1014edo|1014]], [[1021edo|1021]], [[1026edo|1026]], [[1033edo|1033]], [[1038edo|1038]], [[1050edo|1050]], [[1062edo|1062]], [[1067edo|1067]], [[1074edo|1074]], [[1079edo|1079]], [[1086edo|1086]], [[1091edo|1091]], [[1103edo|1103]], [[1115edo|1115]], [[1127edo|1127]], [[1132edo|1132]], [[1139edo|1139]], [[1144edo|1144]], [[1151edo|1151]], [[1156edo|1156]], [[1168edo|1168]], [[1180edo|1180]], [[1185edo|1185]], [[1192edo|1192]], [[1197edo|1197]], [[1204edo|1204]], [[1209edo|1209]], [[1221edo|1221]], [[1233edo|1233]], [[1245edo|1245]], [[1250edo|1250]], [[1257edo|1257]], [[1262edo|1262]], [[1269edo|1269]], [[1274edo|1274]], [[1286edo|1286]], [[1298edo|1298]], [[1303edo|1303]], [[1310edo|1310]], [[1315edo|1315]], [[1322edo|1322]], [[1327edo|1327]], [[1339edo|1339]], [[1351edo|1351]], [[1363edo|1363]], [[1368edo|1368]], [[1375edo|1375]], [[1380edo|1380]], [[1387edo|1387]], [[1392edo|1392]], [[1404edo|1404]], [[1416edo|1416]], [[1421edo|1421]], [[1428edo|1428]], [[1433edo|1433]], [[1440edo|1440]], [[1445edo|1445]], [[1457edo|1457]], [[1469edo|1469]], [[1481edo|1481]], [[1486edo|1486]], [[1493edo|1493]], [[1498edo|1498]], [[1505edo|1505]], [[1510edo|1510]], [[1522edo|1522]], [[1534edo|1534]], [[1539edo|1539]], [[1546edo|1546]], [[1551edo|1551]], [[1558edo|1558]], [[1563edo|1563]], [[1575edo|1575]], [[1587edo|1587]], [[1599edo|1599]], [[1604edo|1604]], [[1611edo|1611]], [[1616edo|1616]], [[1628edo|1628]], [[1640edo|1640]], [[1652edo|1652]], [[1657edo|1657]], [[1664edo|1664]], [[1669edo|1669]], [[1676edo|1676]], [[1681edo|1681]], [[1693edo|1693]], [[1705edo|1705]], [[1710edo|1710]], [[1717edo|1717]], [[1722edo|1722]], [[1729edo|1729]], [[1734edo|1734]], [[1746edo|1746]], [[1758edo|1758]], [[1770edo|1770]], [[1775edo|1775]], [[1782edo|1782]], [[1787edo|1787]], [[1794edo|1794]], [[1799edo|1799]], [[1811edo|1811]], [[1823edo|1823]], [[1828edo|1828]], [[1835edo|1835]], [[1840edo|1840]], [[1847edo|1847]], [[1852edo|1852]], [[1864edo|1864]], [[1876edo|1876]], [[1888edo|1888]], [[1893edo|1893]], [[1900edo|1900]], [[1905edo|1905]], [[1912edo|1912]], [[1917edo|1917]], [[1929edo|1929]], [[1941edo|1941]], [[1946edo|1946]], [[1953edo|1953]], [[1958edo|1958]], [[1965edo|1965]], [[1970edo|1970]], [[1982edo|1982]], [[1994edo|1994]], [[2006edo|2006]], [[2011edo|2011]], [[2018edo|2018]], [[2023edo|2023]], [[2030edo|2030]], [[2035edo|2035]], [[2047edo|2047]], [[2059edo|2059]], [[2064edo|2064]], [[2071edo|2071]], [[2076edo|2076]], [[2083edo|2083]], [[2088edo|2088]], [[2100edo|2100]], [[2112edo|2112]], [[2124edo|2124]], [[2129edo|2129]], [[2136edo|2136]], [[2141edo|2141]], [[2148edo|2148]], [[2153edo|2153]], [[2165edo|2165]], [[2177edo|2177]], [[2182edo|2182]], [[2189edo|2189]], [[2194edo|2194]], [[2206edo|2206]], [[2218edo|2218]], [[2230edo|2230]], [[2242edo|2242]], [[2247edo|2247]], [[2259edo|2259]], [[2271edo|2271]], [[2283edo|2283]], [[2295edo|2295]], [[2300edo|2300]], [[2312edo|2312]], [[2324edo|2324]], [[2336edo|2336]], [[2348edo|2348]], [[2353edo|2353]], [[2365edo|2365]], [[2377edo|2377]], [[2389edo|2389]], [[2401edo|2401]], [[2418edo|2418]], [[2430edo|2430]], [[2442edo|2442]], [[2454edo|2454]], [[2471edo|2471]], [[2483edo|2483]], [[2495edo|2495]], [[2536edo|2536]], [[2548edo|2548]], [[2589edo|2589]], [[2601edo|2601]], [[2654edo|2654]], [[2707edo|2707]]
+|-
+| [[78125/73728]]
+| [-13 -2 7⟩
+| 100.29
+| [[3edo|3]], [[6edo|6]], [[23edo|23]], [[26edo|26]], [[29edo|29]], [[32edo|32]]
+|-
+| [[78732/78125]]
+| [2 9 -7⟩
+| 13.40
+| [[8edo|8]], [[19edo|19]], [[27edo|27]], [[38edo|38]], [[46edo|46]], [[57edo|57]], [[65edo|65]], [[73edo|73]], [[76edo|76]], [[84edo|84]], [[92edo|92]], [[103edo|103]], [[111edo|111]], [[122edo|122]], [[130edo|130]], [[141edo|141]], [[149edo|149]], [[157edo|157]], [[168edo|168]], [[176edo|176]], [[187edo|187]], [[195edo|195]], [[214edo|214]], [[233edo|233]], [[241edo|241]], [[252edo|252]], [[260edo|260]], [[279edo|279]], [[298edo|298]], [[306edo|306]], [[317edo|317]], [[325edo|325]], [[344edo|344]], [[363edo|363]], [[382edo|382]], [[390edo|390]], [[409edo|409]], [[428edo|428]], [[447edo|447]], [[474edo|474]], [[493edo|493]], [[539edo|539]], [[558edo|558]], [[623edo|623]]
+|-
+| [[82944/78125]]
+| [10 4 -7⟩
+| 103.62
+| [[12edo|12]], [[24edo|24]], [[36edo|36]]
+|-
+| [[262144/253125]]
+| [18 -4 -5⟩
+| 60.61
+| [[1edo|1]], [[11edo|11]], [[12edo|12]], [[13edo|13]], [[24edo|24]], [[25edo|25]], [[36edo|36]], [[37edo|37]], [[49edo|49]], [[61edo|61]], [[73edo|73]]
+|-
+| [[273375/262144]]
+| [-18 7 3⟩
+| 72.63
+| [[2edo|2]], [[17edo|17]], [[19edo|19]], [[21edo|21]], [[38edo|38]], [[40edo|40]], [[57edo|57]], [[76edo|76]]
+|-
+| [[390625/373248]]
+| [-9 -6 8⟩
+| 78.78
+| [[4edo|4]], [[18edo|18]], [[22edo|22]], [[26edo|26]], [[44edo|44]], [[48edo|48]], [[66edo|66]]
+|-
+| [[393216/390625]]
+| [17 1 -8⟩
+| 11.45
+| [[3edo|3]], [[6edo|6]], [[28edo|28]], [[31edo|31]], [[34edo|34]], [[37edo|37]], [[62edo|62]], [[65edo|65]], [[68edo|68]], [[71edo|71]], [[93edo|93]], [[96edo|96]], [[99edo|99]], [[102edo|102]], [[127edo|127]], [[130edo|130]], [[133edo|133]], [[136edo|136]], [[158edo|158]], [[161edo|161]], [[164edo|164]], [[167edo|167]], [[192edo|192]], [[195edo|195]], [[198edo|198]], [[201edo|201]], [[223edo|223]], [[226edo|226]], [[229edo|229]], [[232edo|232]], [[257edo|257]], [[260edo|260]], [[263edo|263]], [[266edo|266]], [[288edo|288]], [[291edo|291]], [[294edo|294]], [[297edo|297]], [[322edo|322]], [[325edo|325]], [[328edo|328]], [[331edo|331]], [[353edo|353]], [[356edo|356]], [[359edo|359]], [[362edo|362]], [[365edo|365]], [[387edo|387]], [[390edo|390]], [[393edo|393]], [[421edo|421]], [[452edo|452]]
+|-
+| [[524288/492075]]
+| [19 -9 -2⟩
+| 109.78
+| [[10edo|10]], [[20edo|20]], [[27edo|27]], [[37edo|37]]
+|-
+| [[531441/500000]]
+| [-5 12 -6⟩
+| 105.58
+| [[12edo|12]], [[24edo|24]], [[36edo|36]]
+|-
+| [[531441/524288]]
+| [-19 12⟩
+| 23.46
+| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[48edo|48]], [[60edo|60]], [[72edo|72]], [[84edo|84]], [[96edo|96]], [[108edo|108]], [[120edo|120]], [[132edo|132]], [[144edo|144]], [[156edo|156]], [[168edo|168]], [[180edo|180]], [[192edo|192]], [[204edo|204]], [[216edo|216]], [[228edo|228]], [[240edo|240]], [[252edo|252]], [[264edo|264]], [[276edo|276]], [[288edo|288]], [[300edo|300]]
+|-
+| [[1594323/1562500]]
+| [-2 13 -8⟩
+| 34.91
+| [[19edo|19]], [[38edo|38]], [[39edo|39]], [[57edo|57]], [[58edo|58]], [[76edo|76]], [[77edo|77]], [[96edo|96]], [[115edo|115]], [[134edo|134]], [[153edo|153]], [[154edo|154]], [[173edo|173]], [[192edo|192]], [[211edo|211]], [[269edo|269]], [[288edo|288]]
+|-
+| [[1600000/1594323]]
+| [9 -13 5⟩
+| 6.15
+| [[7edo|7]], [[39edo|39]], [[46edo|46]], [[53edo|53]], [[60edo|60]], [[92edo|92]], [[99edo|99]], [[106edo|106]], [[113edo|113]], [[145edo|145]], [[152edo|152]], [[159edo|159]], [[166edo|166]], [[198edo|198]], [[205edo|205]], [[212edo|212]], [[244edo|244]], [[251edo|251]], [[258edo|258]], [[265edo|265]], [[297edo|297]], [[304edo|304]], [[311edo|311]], [[318edo|318]], [[350edo|350]], [[357edo|357]], [[364edo|364]], [[371edo|371]], [[403edo|403]], [[410edo|410]], [[417edo|417]], [[424edo|424]], [[449edo|449]], [[456edo|456]], [[463edo|463]], [[470edo|470]], [[502edo|502]], [[509edo|509]], [[516edo|516]], [[523edo|523]], [[555edo|555]], [[562edo|562]], [[569edo|569]], [[576edo|576]], [[608edo|608]], [[615edo|615]], [[622edo|622]], [[629edo|629]], [[654edo|654]], [[661edo|661]], [[668edo|668]], [[675edo|675]], [[707edo|707]], [[714edo|714]], [[721edo|721]], [[728edo|728]], [[760edo|760]], [[767edo|767]], [[774edo|774]], [[781edo|781]], [[813edo|813]], [[820edo|820]], [[827edo|827]], [[834edo|834]], [[866edo|866]], [[873edo|873]], [[880edo|880]], [[919edo|919]], [[926edo|926]], [[933edo|933]], [[972edo|972]], [[979edo|979]], [[986edo|986]], [[1025edo|1025]], [[1032edo|1032]], [[1039edo|1039]], [[1078edo|1078]], [[1085edo|1085]], [[1131edo|1131]], [[1138edo|1138]], [[1177edo|1177]], [[1184edo|1184]], [[1191edo|1191]], [[1230edo|1230]], [[1237edo|1237]], [[1244edo|1244]], [[1283edo|1283]], [[1290edo|1290]], [[1336edo|1336]], [[1343edo|1343]], [[1389edo|1389]], [[1396edo|1396]], [[1442edo|1442]], [[1449edo|1449]], [[1495edo|1495]], [[1548edo|1548]], [[1601edo|1601]], [[1654edo|1654]]
+|-
+| [[1638400/1594323]]
+| [16 -13 2⟩
+| 47.21
+| [[5edo|5]], [[29edo|29]], [[34edo|34]], [[39edo|39]], [[63edo|63]], [[68edo|68]], [[73edo|73]], [[97edo|97]], [[102edo|102]], [[131edo|131]], [[136edo|136]], [[165edo|165]]
+|-
+| [[1953125/1889568]]
+| [-5 -10 9⟩
+| 57.27
+| [[15edo|15]], [[26edo|26]], [[30edo|30]], [[41edo|41]], [[56edo|56]], [[71edo|71]], [[82edo|82]], [[97edo|97]], [[112edo|112]], [[138edo|138]]
+|-
+| [[1990656/1953125]]
+| [13 5 -9⟩
+| 32.95
+| [[15edo|15]], [[16edo|16]], [[30edo|30]], [[31edo|31]], [[46edo|46]], [[47edo|47]], [[61edo|61]], [[62edo|62]], [[77edo|77]], [[92edo|92]], [[93edo|93]], [[108edo|108]], [[123edo|123]], [[139edo|139]], [[154edo|154]], [[170edo|170]], [[185edo|185]], [[216edo|216]], [[247edo|247]]
+|-
+| [[2109375/2097152]]
+| [-21 3 7⟩
+| 10.06
+| [[9edo|9]], [[13edo|13]], [[22edo|22]], [[31edo|31]], [[40edo|40]], [[44edo|44]], [[53edo|53]], [[62edo|62]], [[66edo|66]], [[75edo|75]], [[84edo|84]], [[93edo|93]], [[97edo|97]], [[106edo|106]], [[115edo|115]], [[119edo|119]], [[128edo|128]], [[137edo|137]], [[146edo|146]], [[150edo|150]], [[159edo|159]], [[168edo|168]], [[172edo|172]], [[181edo|181]], [[190edo|190]], [[199edo|199]], [[203edo|203]], [[212edo|212]], [[221edo|221]], [[225edo|225]], [[234edo|234]], [[243edo|243]], [[252edo|252]], [[256edo|256]], [[265edo|265]], [[274edo|274]], [[278edo|278]], [[287edo|287]], [[296edo|296]], [[305edo|305]], [[309edo|309]], [[318edo|318]], [[327edo|327]], [[340edo|340]], [[349edo|349]], [[358edo|358]], [[371edo|371]], [[380edo|380]], [[402edo|402]], [[411edo|411]], [[424edo|424]], [[433edo|433]], [[455edo|455]], [[464edo|464]], [[486edo|486]], [[517edo|517]], [[570edo|570]]
+|-
+| [[4428675/4194304]]
+| [-22 11 2⟩
+| 94.13
+| [[14edo|14]], [[19edo|19]], [[33edo|33]], [[38edo|38]], [[52edo|52]], [[57edo|57]], [[76edo|76]]
+|-
+| [[5000000/4782969]]
+| [6 -14 7⟩
+| 76.83
+| [[7edo|7]], [[42edo|42]], [[49edo|49]], [[56edo|56]], [[63edo|63]], [[112edo|112]], [[119edo|119]]
+|-
+| [[8388608/7971615]]
+| [23 -13 -1⟩
+| 88.27
+| [[22edo|22]], [[39edo|39]], [[44edo|44]], [[61edo|61]], [[66edo|66]], [[83edo|83]]
+|-
+| [[9765625/9565938]]
+| [-1 -14 10⟩
+| 35.77
+| [[8edo|8]], [[26edo|26]], [[34edo|34]], [[42edo|42]], [[60edo|60]], [[68edo|68]], [[94edo|94]], [[102edo|102]], [[128edo|128]], [[136edo|136]], [[162edo|162]], [[196edo|196]], [[222edo|222]], [[230edo|230]], [[256edo|256]], [[290edo|290]], [[324edo|324]]
+|-
+| [[10077696/9765625]]
+| [9 9 -10⟩
+| 54.46
+| [[4edo|4]], [[27edo|27]], [[31edo|31]], [[35edo|35]], [[58edo|58]], [[62edo|62]], [[89edo|89]], [[93edo|93]], [[120edo|120]], [[151edo|151]], [[182edo|182]]
+|-
+| [[17578125/16777216]]
+| [-24 2 9⟩
+| 80.73
+| [[13edo|13]], [[19edo|19]], [[32edo|32]], [[38edo|38]], [[51edo|51]], [[57edo|57]], [[76edo|76]]
+|-
+| [[33554432/31640625]]
+| [25 -4 -8⟩
+| 101.67
+| [[12edo|12]], [[24edo|24]], [[36edo|36]]
+|-
+| [[34171875/33554432]]
+| [-25 7 6⟩
+| 31.57
+| [[10edo|10]], [[11edo|11]], [[20edo|20]], [[21edo|21]], [[31edo|31]], [[41edo|41]], [[51edo|51]], [[52edo|52]], [[62edo|62]], [[72edo|72]], [[82edo|82]], [[93edo|93]], [[103edo|103]], [[113edo|113]], [[134edo|134]], [[144edo|144]], [[175edo|175]]
+|-
+| [[43046721/41943040]]
+| [-23 16 -1⟩
+| 44.97
+| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[79edo|79]], [[91edo|91]], [[103edo|103]], [[115edo|115]], [[127edo|127]], [[139edo|139]], [[151edo|151]], [[194edo|194]]
+|-
+| [[48828125/47775744]]
+| [-16 -6 11⟩
+| 37.72
+| [[18edo|18]], [[19edo|19]], [[37edo|37]], [[38edo|38]], [[56edo|56]], [[57edo|57]], [[75edo|75]], [[76edo|76]], [[94edo|94]], [[112edo|112]], [[113edo|113]], [[131edo|131]], [[132edo|132]], [[150edo|150]], [[169edo|169]], [[206edo|206]], [[225edo|225]]
+|-
+| [[50331648/48828125]]
+| [24 1 -11⟩
+| 52.50
+| [[3edo|3]], [[6edo|6]], [[40edo|40]], [[43edo|43]], [[46edo|46]], [[49edo|49]], [[86edo|86]], [[89edo|89]], [[92edo|92]], [[95edo|95]], [[129edo|129]]
+|-
+| [[51018336/48828125]]
+| [5 13 -11⟩
+| 75.96
+| [[8edo|8]], [[23edo|23]], [[31edo|31]], [[39edo|39]], [[62edo|62]], [[70edo|70]], [[93edo|93]], [[101edo|101]]
+|-
+| [[67108864/66430125]]
+| [26 -12 -3⟩
+| 17.60
+| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[51edo|51]], [[63edo|63]], [[75edo|75]], [[87edo|87]], [[99edo|99]], [[111edo|111]], [[123edo|123]], [[138edo|138]], [[150edo|150]], [[162edo|162]], [[174edo|174]], [[186edo|186]], [[198edo|198]], [[210edo|210]], [[225edo|225]], [[237edo|237]], [[249edo|249]], [[261edo|261]], [[273edo|273]], [[285edo|285]], [[297edo|297]], [[312edo|312]], [[324edo|324]], [[336edo|336]], [[348edo|348]], [[360edo|360]], [[372edo|372]], [[384edo|384]], [[471edo|471]]
+|-
+| [[129140163/125000000]]
+| [-6 17 -9⟩
+| 56.41
+| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[70edo|70]], [[76edo|76]], [[89edo|89]], [[108edo|108]], [[127edo|127]], [[146edo|146]], [[216edo|216]], [[235edo|235]]
+|-
+| [[129140163/128000000]]
+| [-13 17 -6⟩
+| 15.35
+| [[7edo|7]], [[58edo|58]], [[65edo|65]], [[72edo|72]], [[79edo|79]], [[123edo|123]], [[130edo|130]], [[137edo|137]], [[144edo|144]], [[188edo|188]], [[195edo|195]], [[202edo|202]], [[209edo|209]], [[260edo|260]], [[267edo|267]], [[274edo|274]], [[281edo|281]], [[325edo|325]], [[332edo|332]], [[339edo|339]], [[346edo|346]], [[390edo|390]], [[397edo|397]], [[404edo|404]], [[411edo|411]], [[462edo|462]], [[469edo|469]], [[476edo|476]], [[527edo|527]], [[534edo|534]], [[541edo|541]], [[592edo|592]], [[599edo|599]], [[606edo|606]], [[657edo|657]], [[664edo|664]], [[729edo|729]], [[794edo|794]], [[859edo|859]]
+|-
+| [[131072000/129140163]]
+| [20 -17 3⟩
+| 25.71
+| [[5edo|5]], [[41edo|41]], [[46edo|46]], [[82edo|82]], [[87edo|87]], [[92edo|92]], [[128edo|128]], [[133edo|133]], [[169edo|169]], [[174edo|174]], [[179edo|179]], [[215edo|215]], [[220edo|220]], [[256edo|256]], [[261edo|261]], [[266edo|266]], [[302edo|302]], [[307edo|307]], [[343edo|343]], [[348edo|348]], [[389edo|389]], [[430edo|430]]
+|-
+| [[134217728/129140163]]
+| [27 -17⟩
+| 66.76
+| [[17edo|17]], [[34edo|34]], [[51edo|51]], [[68edo|68]], [[85edo|85]], [[102edo|102]], [[119edo|119]], [[136edo|136]]
+|-
+| [[244140625/229582512]]
+| [-4 -15 12⟩
+| 106.44
+| [[15edo|15]], [[30edo|30]], [[48edo|48]], [[63edo|63]], [[78edo|78]]
+|-
+| [[254803968/244140625]]
+| [20 5 -12⟩
+| 74.01
+| [[15edo|15]], [[28edo|28]], [[30edo|30]], [[43edo|43]], [[58edo|58]], [[73edo|73]], [[86edo|86]], [[101edo|101]], [[129edo|129]]
+|-
+| [[258280326/244140625]]
+| [1 17 -12⟩
+| 97.47
+| [[31edo|31]], [[62edo|62]], [[93edo|93]]
+|-
+| [[268435456/263671875]]
+| [28 -3 -10⟩
+| 31.00
+| [[9edo|9]], [[25edo|25]], [[34edo|34]], [[43edo|43]], [[52edo|52]], [[59edo|59]], [[68edo|68]], [[77edo|77]], [[86edo|86]], [[102edo|102]], [[111edo|111]], [[120edo|120]], [[129edo|129]], [[136edo|136]], [[145edo|145]], [[154edo|154]], [[179edo|179]], [[188edo|188]], [[213edo|213]]
+|-
+| [[390625000/387420489]]
+| [3 -18 11⟩
+| 14.26
+| [[26edo|26]], [[27edo|27]], [[53edo|53]], [[79edo|79]], [[80edo|80]], [[106edo|106]], [[132edo|132]], [[133edo|133]], [[159edo|159]], [[160edo|160]], [[186edo|186]], [[212edo|212]], [[213edo|213]], [[239edo|239]], [[265edo|265]], [[266edo|266]], [[292edo|292]], [[318edo|318]], [[319edo|319]], [[345edo|345]], [[371edo|371]], [[372edo|372]], [[398edo|398]], [[424edo|424]], [[425edo|425]], [[451edo|451]], [[478edo|478]], [[504edo|504]], [[531edo|531]], [[557edo|557]], [[584edo|584]], [[610edo|610]], [[637edo|637]], [[663edo|663]], [[690edo|690]], [[743edo|743]], [[796edo|796]], [[849edo|849]], [[902edo|902]], [[955edo|955]]
+|-
+| [[409600000/387420489]]
+| [17 -18 5⟩
+| 96.38
+| [[27edo|27]], [[29edo|29]], [[56edo|56]], [[83edo|83]], [[85edo|85]], [[112edo|112]]
+|-
+| [[536870912/512578125]]
+| [29 -8 -7⟩
+| 80.16
+| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[59edo|59]], [[71edo|71]], [[83edo|83]], [[95edo|95]]
+|-
+| [[553584375/536870912]]
+| [-29 11 5⟩
+| 53.07
+| [[2edo|2]], [[29edo|29]], [[31edo|31]], [[33edo|33]], [[60edo|60]], [[62edo|62]], [[64edo|64]], [[91edo|91]], [[93edo|93]], [[122edo|122]], [[153edo|153]]
+|-
+| [[1220703125/1146617856]]
+| [-19 -7 13⟩
+| 108.39
+| [[22edo|22]], [[23edo|23]], [[44edo|44]], [[45edo|45]], [[66edo|66]]
+|-
+| [[1220703125/1162261467]]
+| [0 -19 13⟩
+| 84.93
+| [[8edo|8]], [[41edo|41]], [[49edo|49]], [[82edo|82]], [[90edo|90]], [[131edo|131]], [[172edo|172]]
+|-
+| [[1220703125/1207959552]]
+| [-27 -2 13⟩
+| 18.17
+| [[3edo|3]], [[6edo|6]], [[47edo|47]], [[50edo|50]], [[53edo|53]], [[56edo|56]], [[59edo|59]], [[100edo|100]], [[103edo|103]], [[106edo|106]], [[109edo|109]], [[112edo|112]], [[153edo|153]], [[156edo|156]], [[159edo|159]], [[162edo|162]], [[165edo|165]], [[209edo|209]], [[212edo|212]], [[215edo|215]], [[218edo|218]], [[262edo|262]], [[265edo|265]], [[268edo|268]], [[271edo|271]], [[315edo|315]], [[318edo|318]], [[321edo|321]], [[324edo|324]], [[368edo|368]], [[371edo|371]], [[374edo|374]], [[377edo|377]], [[424edo|424]], [[427edo|427]], [[430edo|430]], [[483edo|483]]
+|-
+| [[1224440064/1220703125]]
+| [8 14 -13⟩
+| 5.29
+| [[19edo|19]], [[38edo|38]], [[42edo|42]], [[57edo|57]], [[61edo|61]], [[76edo|76]], [[80edo|80]], [[99edo|99]], [[118edo|118]], [[137edo|137]], [[156edo|156]], [[160edo|160]], [[175edo|175]], [[179edo|179]], [[194edo|194]], [[198edo|198]], [[217edo|217]], [[236edo|236]], [[255edo|255]], [[274edo|274]], [[293edo|293]], [[297edo|297]], [[316edo|316]], [[335edo|335]], [[354edo|354]], [[373edo|373]], [[392edo|392]], [[411edo|411]], [[415edo|415]], [[434edo|434]], [[453edo|453]], [[472edo|472]], [[491edo|491]], [[510edo|510]], [[529edo|529]], [[533edo|533]], [[552edo|552]], [[571edo|571]], [[590edo|590]], [[609edo|609]], [[628edo|628]], [[647edo|647]], [[651edo|651]], [[670edo|670]], [[689edo|689]], [[708edo|708]], [[727edo|727]], [[746edo|746]], [[765edo|765]], [[769edo|769]], [[788edo|788]], [[807edo|807]], [[826edo|826]], [[845edo|845]], [[864edo|864]], [[887edo|887]], [[906edo|906]], [[925edo|925]], [[944edo|944]], [[963edo|963]], [[982edo|982]], [[1005edo|1005]], [[1024edo|1024]], [[1043edo|1043]], [[1062edo|1062]], [[1081edo|1081]], [[1100edo|1100]], [[1123edo|1123]], [[1142edo|1142]], [[1161edo|1161]], [[1180edo|1180]], [[1199edo|1199]], [[1218edo|1218]], [[1241edo|1241]], [[1260edo|1260]], [[1279edo|1279]], [[1298edo|1298]], [[1317edo|1317]], [[1359edo|1359]], [[1378edo|1378]], [[1397edo|1397]], [[1416edo|1416]], [[1435edo|1435]], [[1496edo|1496]], [[1515edo|1515]], [[1534edo|1534]], [[1553edo|1553]], [[1614edo|1614]], [[1633edo|1633]], [[1652edo|1652]], [[1671edo|1671]], [[1732edo|1732]], [[1751edo|1751]], [[1770edo|1770]], [[1789edo|1789]], [[1850edo|1850]], [[1869edo|1869]], [[1888edo|1888]], [[1968edo|1968]], [[1987edo|1987]], [[2006edo|2006]], [[2086edo|2086]], [[2105edo|2105]], [[2124edo|2124]], [[2204edo|2204]], [[2223edo|2223]], [[2242edo|2242]], [[2322edo|2322]], [[2341edo|2341]], [[2440edo|2440]], [[2459edo|2459]], [[2577edo|2577]], [[2695edo|2695]], [[2813edo|2813]]
+|-
+| [[1289945088/1220703125]]
+| [16 9 -13⟩
+| 95.52
+| [[16edo|16]], [[27edo|27]], [[43edo|43]], [[70edo|70]], [[86edo|86]], [[129edo|129]]
+|-
+| [[2197265625/2147483648]]
+| [-31 2 12⟩
+| 39.67
+| [[22edo|22]], [[28edo|28]], [[44edo|44]], [[50edo|50]], [[66edo|66]], [[72edo|72]], [[94edo|94]], [[100edo|100]], [[116edo|116]], [[122edo|122]], [[138edo|138]], [[144edo|144]], [[166edo|166]], [[194edo|194]]
+|-
+| [[3486784401/3355443200]]
+| [-27 20 -2⟩
+| 66.47
+| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[110edo|110]], [[122edo|122]], [[134edo|134]], [[146edo|146]], [[158edo|158]], [[170edo|170]], [[182edo|182]]
+|-
+| [[4294967296/4271484375]]
+| [32 -7 -9⟩
+| 9.49
+| [[1edo|1]], [[21edo|21]], [[22edo|22]], [[43edo|43]], [[44edo|44]], [[64edo|64]], [[65edo|65]], [[66edo|66]], [[86edo|86]], [[87edo|87]], [[108edo|108]], [[109edo|109]], [[129edo|129]], [[130edo|130]], [[131edo|131]], [[151edo|151]], [[152edo|152]], [[173edo|173]], [[174edo|174]], [[195edo|195]], [[196edo|196]], [[216edo|216]], [[217edo|217]], [[218edo|218]], [[238edo|238]], [[239edo|239]], [[260edo|260]], [[261edo|261]], [[282edo|282]], [[283edo|283]], [[303edo|303]], [[304edo|304]], [[325edo|325]], [[326edo|326]], [[347edo|347]], [[348edo|348]], [[369edo|369]], [[390edo|390]], [[391edo|391]], [[412edo|412]], [[413edo|413]], [[434edo|434]], [[456edo|456]], [[477edo|477]], [[478edo|478]], [[499edo|499]], [[521edo|521]], [[543edo|543]], [[564edo|564]], [[565edo|565]], [[586edo|586]], [[608edo|608]], [[630edo|630]], [[651edo|651]], [[673edo|673]], [[695edo|695]], [[716edo|716]], [[738edo|738]], [[760edo|760]], [[803edo|803]], [[825edo|825]], [[890edo|890]], [[977edo|977]]
+|-
+| [[6103515625/5804752896]]
+| [-15 -11 14⟩
+| 86.89
+| [[4edo|4]], [[37edo|37]], [[41edo|41]], [[45edo|45]], [[78edo|78]], [[82edo|82]], [[119edo|119]]
+|-
+| [[6115295232/6103515625]]
+| [23 6 -14⟩
+| 3.34
+| [[16edo|16]], [[18edo|18]], [[34edo|34]], [[50edo|50]], [[68edo|68]], [[84edo|84]], [[100edo|100]], [[102edo|102]], [[118edo|118]], [[134edo|134]], [[136edo|136]], [[152edo|152]], [[168edo|168]], [[186edo|186]], [[202edo|202]], [[220edo|220]], [[236edo|236]], [[252edo|252]], [[254edo|254]], [[270edo|270]], [[286edo|286]], [[304edo|304]], [[320edo|320]], [[338edo|338]], [[354edo|354]], [[370edo|370]], [[372edo|372]], [[388edo|388]], [[404edo|404]], [[422edo|422]], [[438edo|438]], [[456edo|456]], [[472edo|472]], [[488edo|488]], [[490edo|490]], [[506edo|506]], [[522edo|522]], [[524edo|524]], [[540edo|540]], [[556edo|556]], [[574edo|574]], [[590edo|590]], [[606edo|606]], [[608edo|608]], [[624edo|624]], [[640edo|640]], [[642edo|642]], [[658edo|658]], [[674edo|674]], [[692edo|692]], [[708edo|708]], [[726edo|726]], [[742edo|742]], [[758edo|758]], [[760edo|760]], [[776edo|776]], [[792edo|792]], [[810edo|810]], [[826edo|826]], [[844edo|844]], [[860edo|860]], [[876edo|876]], [[878edo|878]], [[894edo|894]], [[910edo|910]], [[928edo|928]], [[944edo|944]], [[962edo|962]], [[978edo|978]], [[994edo|994]], [[996edo|996]], [[1012edo|1012]], [[1028edo|1028]], [[1030edo|1030]], [[1046edo|1046]], [[1062edo|1062]], [[1080edo|1080]], [[1096edo|1096]], [[1112edo|1112]], [[1114edo|1114]], [[1130edo|1130]], [[1146edo|1146]], [[1148edo|1148]], [[1164edo|1164]], [[1180edo|1180]], [[1198edo|1198]], [[1214edo|1214]], [[1232edo|1232]], [[1248edo|1248]], [[1264edo|1264]], [[1266edo|1266]], [[1282edo|1282]], [[1298edo|1298]], [[1316edo|1316]], [[1332edo|1332]], [[1350edo|1350]], [[1366edo|1366]], [[1382edo|1382]], [[1384edo|1384]], [[1400edo|1400]], [[1416edo|1416]], [[1434edo|1434]], [[1450edo|1450]], [[1468edo|1468]], [[1484edo|1484]], [[1500edo|1500]], [[1502edo|1502]], [[1518edo|1518]], [[1534edo|1534]], [[1552edo|1552]], [[1568edo|1568]], [[1586edo|1586]], [[1602edo|1602]], [[1618edo|1618]], [[1620edo|1620]], [[1636edo|1636]], [[1652edo|1652]], [[1670edo|1670]], [[1686edo|1686]], [[1704edo|1704]], [[1720edo|1720]], [[1736edo|1736]], [[1738edo|1738]], [[1754edo|1754]], [[1770edo|1770]], [[1788edo|1788]], [[1804edo|1804]], [[1822edo|1822]], [[1838edo|1838]], [[1872edo|1872]], [[1888edo|1888]], [[1906edo|1906]], [[1922edo|1922]], [[1940edo|1940]], [[1956edo|1956]], [[1990edo|1990]], [[2006edo|2006]], [[2024edo|2024]], [[2040edo|2040]], [[2058edo|2058]], [[2074edo|2074]], [[2108edo|2108]], [[2124edo|2124]], [[2142edo|2142]], [[2158edo|2158]], [[2176edo|2176]], [[2192edo|2192]], [[2226edo|2226]], [[2242edo|2242]], [[2260edo|2260]], [[2276edo|2276]], [[2294edo|2294]], [[2310edo|2310]], [[2344edo|2344]], [[2378edo|2378]], [[2394edo|2394]], [[2428edo|2428]], [[2462edo|2462]], [[2496edo|2496]], [[2512edo|2512]], [[2546edo|2546]], [[2580edo|2580]], [[2614edo|2614]], [[2630edo|2630]], [[2664edo|2664]], [[2698edo|2698]], [[2732edo|2732]], [[2748edo|2748]], [[2782edo|2782]], [[2816edo|2816]], [[2900edo|2900]], [[2934edo|2934]], [[3018edo|3018]], [[3052edo|3052]], [[3136edo|3136]], [[3170edo|3170]], [[3254edo|3254]], [[3372edo|3372]]
+|-
+| [[6442450944/6103515625]]
+| [31 1 -14⟩
+| 93.56
+| [[3edo|3]], [[6edo|6]], [[52edo|52]], [[55edo|55]], [[58edo|58]], [[61edo|61]]
+|-
+| [[8968066875/8589934592]]
+| [-33 15 4⟩
+| 74.58
+| [[14edo|14]], [[17edo|17]], [[31edo|31]], [[48edo|48]], [[62edo|62]], [[79edo|79]], [[93edo|93]], [[110edo|110]], [[141edo|141]]
+|-
+| [[10460353203/10000000000]]
+| [-10 21 -10⟩
+| 77.92
+| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[76edo|76]], [[101edo|101]], [[120edo|120]], [[139edo|139]], [[158edo|158]]
+|-
+| [[10460353203/10240000000]]
+| [-17 21 -7⟩
+| 36.86
+| [[7edo|7]], [[70edo|70]], [[77edo|77]], [[84edo|84]], [[91edo|91]], [[154edo|154]], [[161edo|161]], [[168edo|168]], [[175edo|175]], [[238edo|238]], [[245edo|245]], [[252edo|252]], [[322edo|322]], [[329edo|329]], [[406edo|406]]
+|-
+| [[10485760000/10460353203]]
+| [24 -21 4⟩
+| 4.20
+| [[5edo|5]], [[48edo|48]], [[53edo|53]], [[58edo|58]], [[106edo|106]], [[111edo|111]], [[159edo|159]], [[164edo|164]], [[212edo|212]], [[217edo|217]], [[265edo|265]], [[270edo|270]], [[275edo|275]], [[318edo|318]], [[323edo|323]], [[328edo|328]], [[371edo|371]], [[376edo|376]], [[381edo|381]], [[424edo|424]], [[429edo|429]], [[434edo|434]], [[482edo|482]], [[487edo|487]], [[535edo|535]], [[540edo|540]], [[588edo|588]], [[593edo|593]], [[598edo|598]], [[641edo|641]], [[646edo|646]], [[651edo|651]], [[694edo|694]], [[699edo|699]], [[704edo|704]], [[747edo|747]], [[752edo|752]], [[757edo|757]], [[805edo|805]], [[810edo|810]], [[858edo|858]], [[863edo|863]], [[911edo|911]], [[916edo|916]], [[964edo|964]], [[969edo|969]], [[974edo|974]], [[1017edo|1017]], [[1022edo|1022]], [[1027edo|1027]], [[1070edo|1070]], [[1075edo|1075]], [[1080edo|1080]], [[1128edo|1128]], [[1133edo|1133]], [[1181edo|1181]], [[1186edo|1186]], [[1234edo|1234]], [[1239edo|1239]], [[1287edo|1287]], [[1292edo|1292]], [[1297edo|1297]], [[1340edo|1340]], [[1345edo|1345]], [[1350edo|1350]], [[1393edo|1393]], [[1398edo|1398]], [[1403edo|1403]], [[1451edo|1451]], [[1456edo|1456]], [[1504edo|1504]], [[1509edo|1509]], [[1557edo|1557]], [[1562edo|1562]], [[1610edo|1610]], [[1615edo|1615]], [[1620edo|1620]], [[1663edo|1663]], [[1668edo|1668]], [[1673edo|1673]], [[1716edo|1716]], [[1721edo|1721]], [[1726edo|1726]], [[1769edo|1769]], [[1774edo|1774]], [[1779edo|1779]], [[1827edo|1827]], [[1832edo|1832]], [[1880edo|1880]], [[1885edo|1885]], [[1933edo|1933]], [[1938edo|1938]], [[1943edo|1943]], [[1986edo|1986]], [[1991edo|1991]], [[1996edo|1996]], [[2039edo|2039]], [[2044edo|2044]], [[2049edo|2049]], [[2092edo|2092]], [[2097edo|2097]], [[2102edo|2102]], [[2150edo|2150]], [[2155edo|2155]], [[2203edo|2203]], [[2208edo|2208]], [[2256edo|2256]], [[2261edo|2261]], [[2309edo|2309]], [[2314edo|2314]], [[2319edo|2319]], [[2362edo|2362]], [[2367edo|2367]], [[2372edo|2372]], [[2415edo|2415]], [[2420edo|2420]], [[2425edo|2425]], [[2473edo|2473]], [[2478edo|2478]], [[2526edo|2526]], [[2531edo|2531]], [[2579edo|2579]], [[2584edo|2584]], [[2632edo|2632]], [[2637edo|2637]], [[2685edo|2685]], [[2690edo|2690]], [[2738edo|2738]], [[2743edo|2743]], [[2796edo|2796]], [[2849edo|2849]], [[2902edo|2902]], [[2955edo|2955]], [[3008edo|3008]], [[3061edo|3061]], [[3114edo|3114]], [[3172edo|3172]], [[3225edo|3225]], [[3278edo|3278]], [[3331edo|3331]], [[3384edo|3384]], [[3437edo|3437]]
+|-
+| [[10737418240/10460353203]]
+| [31 -21 1⟩
+| 45.26
+| [[29edo|29]], [[46edo|46]], [[75edo|75]], [[92edo|92]], [[104edo|104]], [[121edo|121]], [[150edo|150]], [[167edo|167]], [[196edo|196]], [[213edo|213]], [[225edo|225]], [[242edo|242]], [[271edo|271]]
+|-
+| [[17179869184/16142520375]]
+| [34 -17 -3⟩
+| 107.82
+| [[22edo|22]], [[44edo|44]], [[66edo|66]], [[73edo|73]], [[95edo|95]]
+|-
+| [[17433922005/17179869184]]
+| [-34 20 1⟩
+| 25.41
+| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[113edo|113]], [[125edo|125]], [[137edo|137]], [[149edo|149]], [[161edo|161]], [[173edo|173]], [[185edo|185]], [[250edo|250]], [[262edo|262]], [[274edo|274]], [[286edo|286]], [[298edo|298]], [[310edo|310]], [[322edo|322]], [[334edo|334]], [[399edo|399]], [[411edo|411]], [[423edo|423]], [[435edo|435]], [[447edo|447]], [[459edo|459]]
+|-
+| [[18310546875/17179869184]]
+| [-34 1 14⟩
+| 110.35
+| [[19edo|19]], [[38edo|38]], [[54edo|54]], [[57edo|57]], [[76edo|76]]
+|-
+| [[30517578125/29386561536]]
+| [-11 -15 15⟩
+| 65.38
+| [[15edo|15]], [[30edo|30]], [[45edo|45]], [[60edo|60]], [[75edo|75]], [[90edo|90]], [[135edo|135]], [[150edo|150]], [[165edo|165]], [[225edo|225]]
+|-
+| [[30958682112/30517578125]]
+| [19 10 -15⟩
+| 24.84
+| [[15edo|15]], [[30edo|30]], [[35edo|35]], [[50edo|50]], [[65edo|65]], [[80edo|80]], [[95edo|95]], [[100edo|100]], [[115edo|115]], [[130edo|130]], [[145edo|145]], [[160edo|160]], [[180edo|180]], [[195edo|195]], [[210edo|210]], [[245edo|245]], [[260edo|260]], [[275edo|275]], [[310edo|310]], [[325edo|325]], [[375edo|375]], [[390edo|390]], [[440edo|440]], [[505edo|505]]
+|-
+| [[31381059609/30517578125]]
+| [0 22 -15⟩
+| 48.30
+| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[76edo|76]], [[123edo|123]], [[142edo|142]], [[161edo|161]], [[180edo|180]], [[199edo|199]], [[303edo|303]], [[322edo|322]], [[341edo|341]]
+|-
+| [[31381059609/31250000000]]
+| [-7 22 -12⟩
+| 7.25
+| [[26edo|26]], [[46edo|46]], [[72edo|72]], [[92edo|92]], [[118edo|118]], [[144edo|144]], [[164edo|164]], [[190edo|190]], [[210edo|210]], [[236edo|236]], [[262edo|262]], [[282edo|282]], [[308edo|308]], [[328edo|328]], [[354edo|354]], [[380edo|380]], [[400edo|400]], [[426edo|426]], [[446edo|446]], [[472edo|472]], [[498edo|498]], [[518edo|518]], [[544edo|544]], [[564edo|564]], [[570edo|570]], [[590edo|590]], [[616edo|616]], [[636edo|636]], [[662edo|662]], [[682edo|682]], [[688edo|688]], [[708edo|708]], [[734edo|734]], [[754edo|754]], [[780edo|780]], [[800edo|800]], [[806edo|806]], [[826edo|826]], [[852edo|852]], [[872edo|872]], [[898edo|898]], [[918edo|918]], [[944edo|944]], [[970edo|970]], [[990edo|990]], [[1016edo|1016]], [[1036edo|1036]], [[1062edo|1062]], [[1088edo|1088]], [[1108edo|1108]], [[1134edo|1134]], [[1154edo|1154]], [[1180edo|1180]], [[1206edo|1206]], [[1226edo|1226]], [[1252edo|1252]], [[1298edo|1298]], [[1324edo|1324]], [[1344edo|1344]], [[1370edo|1370]], [[1416edo|1416]], [[1462edo|1462]], [[1488edo|1488]], [[1534edo|1534]], [[1580edo|1580]], [[1606edo|1606]], [[1652edo|1652]], [[1698edo|1698]], [[1724edo|1724]], [[1770edo|1770]], [[1816edo|1816]], [[1888edo|1888]], [[1934edo|1934]], [[2006edo|2006]], [[2052edo|2052]], [[2124edo|2124]], [[2170edo|2170]], [[2242edo|2242]], [[2288edo|2288]], [[2406edo|2406]], [[2524edo|2524]], [[2642edo|2642]], [[2760edo|2760]]
+|-
+| [[32000000000/31381059609]]
+| [14 -22 9⟩
+| 33.81
+| [[7edo|7]], [[73edo|73]], [[80edo|80]], [[87edo|87]], [[94edo|94]], [[160edo|160]], [[167edo|167]], [[174edo|174]], [[181edo|181]], [[254edo|254]], [[261edo|261]], [[268edo|268]], [[348edo|348]], [[355edo|355]], [[442edo|442]]
+|-
+| [[32768000000/31381059609]]
+| [21 -22 6⟩
+| 74.87
+| [[34edo|34]], [[68edo|68]], [[102edo|102]], [[104edo|104]], [[136edo|136]], [[138edo|138]], [[172edo|172]], [[206edo|206]]
+|-
+| [[34359738368/32958984375]]
+| [35 -3 -13⟩
+| 72.06
+| [[9edo|9]], [[37edo|37]], [[46edo|46]], [[55edo|55]], [[64edo|64]], [[83edo|83]], [[92edo|92]], [[101edo|101]]
+|-
+| [[35595703125/34359738368]]
+| [-35 6 11⟩
+| 61.18
+| [[9edo|9]], [[32edo|32]], [[41edo|41]], [[50edo|50]], [[82edo|82]], [[91edo|91]], [[100edo|100]], [[132edo|132]], [[141edo|141]]
+|-
+| [[69198046875/68719476736]]
+| [-36 11 8⟩
+| 12.01
+| [[10edo|10]], [[20edo|20]], [[33edo|33]], [[43edo|43]], [[53edo|53]], [[63edo|63]], [[86edo|86]], [[96edo|96]], [[106edo|106]], [[116edo|116]], [[129edo|129]], [[139edo|139]], [[149edo|149]], [[159edo|159]], [[169edo|169]], [[182edo|182]], [[192edo|192]], [[202edo|202]], [[212edo|212]], [[222edo|222]], [[235edo|235]], [[245edo|245]], [[255edo|255]], [[265edo|265]], [[288edo|288]], [[298edo|298]], [[308edo|308]], [[318edo|318]], [[341edo|341]], [[351edo|351]], [[361edo|361]], [[371edo|371]], [[394edo|394]], [[404edo|404]], [[414edo|414]], [[424edo|424]], [[447edo|447]], [[457edo|457]], [[467edo|467]], [[500edo|500]], [[510edo|510]], [[520edo|520]], [[553edo|553]], [[563edo|563]], [[573edo|573]], [[606edo|606]], [[616edo|616]], [[659edo|659]], [[669edo|669]], [[712edo|712]], [[722edo|722]], [[765edo|765]], [[775edo|775]], [[818edo|818]]
+|-
+| [[97656250000/94143178827]]
+| [4 -23 14⟩
+| 63.43
+| [[34edo|34]], [[68edo|68]], [[102edo|102]], [[135edo|135]], [[136edo|136]], [[169edo|169]], [[203edo|203]], [[237edo|237]], [[271edo|271]]
+|-
+| [[100000000000/94143178827]]
+| [11 -23 11⟩
+| 104.49
+| [[7edo|7]], [[83edo|83]], [[90edo|90]], [[97edo|97]], [[104edo|104]]
+|-
+| [[137438953472/134521003125]]
+| [37 -16 -5⟩
+| 37.15
+| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[85edo|85]], [[97edo|97]], [[109edo|109]], [[121edo|121]], [[133edo|133]], [[145edo|145]], [[157edo|157]], [[206edo|206]], [[218edo|218]], [[230edo|230]], [[242edo|242]], [[254edo|254]], [[266edo|266]]
+|-
+| [[145282683375/137438953472]]
+| [-37 19 3⟩
+| 96.09
+| [[31edo|31]], [[62edo|62]], [[93edo|93]]
+|-
+| [[152587890625/146767085568]]
+| [-26 -7 16⟩
+| 67.33
+| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[59edo|59]], [[76edo|76]], [[78edo|78]], [[97edo|97]], [[116edo|116]], [[135edo|135]]
+|-
+| [[152587890625/148769467776]]
+| [-7 -19 16⟩
+| 43.87
+| [[34edo|34]], [[45edo|45]], [[68edo|68]], [[79edo|79]], [[102edo|102]], [[113edo|113]], [[136edo|136]], [[147edo|147]], [[181edo|181]], [[215edo|215]], [[249edo|249]], [[283edo|283]], [[396edo|396]], [[430edo|430]]
+|-
+| [[156728328192/152587890625]]
+| [15 14 -16⟩
+| 46.35
+| [[4edo|4]], [[42edo|42]], [[46edo|46]], [[50edo|50]], [[92edo|92]], [[96edo|96]], [[100edo|100]], [[142edo|142]], [[146edo|146]], [[188edo|188]], [[192edo|192]], [[238edo|238]], [[288edo|288]], [[334edo|334]]
+|-
+| [[274877906944/261508830075]]
+| [38 -21 -2⟩
+| 86.32
+| [[34edo|34]], [[68edo|68]], [[102edo|102]], [[107edo|107]], [[136edo|136]]
+|-
+| [[274877906944/274658203125]]
+| [38 -2 -15⟩
+| 1.38
+| [[25edo|25]], [[31edo|31]], [[56edo|56]], [[62edo|62]], [[87edo|87]], [[93edo|93]], [[112edo|112]], [[118edo|118]], [[143edo|143]], [[149edo|149]], [[174edo|174]], [[180edo|180]], [[205edo|205]], [[211edo|211]], [[230edo|230]], [[236edo|236]], [[261edo|261]], [[267edo|267]], [[292edo|292]], [[298edo|298]], [[323edo|323]], [[329edo|329]], [[348edo|348]], [[354edo|354]], [[379edo|379]], [[385edo|385]], [[410edo|410]], [[416edo|416]], [[441edo|441]], [[447edo|447]], [[466edo|466]], [[472edo|472]], [[497edo|497]], [[503edo|503]], [[528edo|528]], [[534edo|534]], [[559edo|559]], [[584edo|584]], [[590edo|590]], [[615edo|615]], [[621edo|621]], [[646edo|646]], [[652edo|652]], [[671edo|671]], [[677edo|677]], [[702edo|702]], [[708edo|708]], [[733edo|733]], [[739edo|739]], [[764edo|764]], [[770edo|770]], [[789edo|789]], [[795edo|795]], [[820edo|820]], [[826edo|826]], [[851edo|851]], [[857edo|857]], [[882edo|882]], [[888edo|888]], [[907edo|907]], [[913edo|913]], [[938edo|938]], [[944edo|944]], [[969edo|969]], [[975edo|975]], [[1000edo|1000]], [[1006edo|1006]], [[1025edo|1025]], [[1031edo|1031]], [[1056edo|1056]], [[1062edo|1062]], [[1087edo|1087]], [[1093edo|1093]], [[1118edo|1118]], [[1124edo|1124]], [[1143edo|1143]], [[1149edo|1149]], [[1174edo|1174]], [[1180edo|1180]], [[1205edo|1205]], [[1211edo|1211]], [[1230edo|1230]], [[1236edo|1236]], [[1261edo|1261]], [[1267edo|1267]], [[1292edo|1292]], [[1298edo|1298]], [[1323edo|1323]], [[1329edo|1329]], [[1348edo|1348]], [[1354edo|1354]], [[1379edo|1379]], [[1385edo|1385]], [[1410edo|1410]], [[1416edo|1416]], [[1441edo|1441]], [[1447edo|1447]], [[1466edo|1466]], [[1472edo|1472]], [[1497edo|1497]], [[1503edo|1503]], [[1528edo|1528]], [[1534edo|1534]], [[1559edo|1559]], [[1565edo|1565]], [[1584edo|1584]], [[1590edo|1590]], [[1615edo|1615]], [[1621edo|1621]], [[1646edo|1646]], [[1652edo|1652]], [[1677edo|1677]], [[1683edo|1683]], [[1702edo|1702]], [[1708edo|1708]], [[1733edo|1733]], [[1739edo|1739]], [[1764edo|1764]], [[1770edo|1770]], [[1795edo|1795]], [[1820edo|1820]], [[1826edo|1826]], [[1851edo|1851]], [[1857edo|1857]], [[1882edo|1882]], [[1888edo|1888]], [[1907edo|1907]], [[1913edo|1913]], [[1938edo|1938]], [[1944edo|1944]], [[1969edo|1969]], [[1975edo|1975]], [[2000edo|2000]], [[2006edo|2006]], [[2025edo|2025]], [[2031edo|2031]], [[2056edo|2056]], [[2062edo|2062]], [[2087edo|2087]], [[2093edo|2093]], [[2118edo|2118]], [[2124edo|2124]], [[2143edo|2143]], [[2149edo|2149]], [[2174edo|2174]], [[2180edo|2180]], [[2205edo|2205]], [[2211edo|2211]], [[2236edo|2236]], [[2242edo|2242]], [[2261edo|2261]], [[2267edo|2267]], [[2292edo|2292]], [[2298edo|2298]], [[2323edo|2323]], [[2329edo|2329]], [[2354edo|2354]], [[2379edo|2379]], [[2385edo|2385]], [[2410edo|2410]], [[2416edo|2416]], [[2441edo|2441]], [[2447edo|2447]], [[2466edo|2466]], [[2472edo|2472]], [[2497edo|2497]], [[2503edo|2503]], [[2528edo|2528]], [[2534edo|2534]], [[2559edo|2559]], [[2565edo|2565]], [[2584edo|2584]], [[2590edo|2590]], [[2615edo|2615]], [[2621edo|2621]], [[2646edo|2646]], [[2652edo|2652]], [[2677edo|2677]], [[2683edo|2683]], [[2702edo|2702]], [[2708edo|2708]], [[2733edo|2733]], [[2739edo|2739]], [[2764edo|2764]], [[2770edo|2770]], [[2795edo|2795]], [[2801edo|2801]], [[2820edo|2820]], [[2826edo|2826]], [[2851edo|2851]], [[2857edo|2857]], [[2882edo|2882]], [[2888edo|2888]], [[2913edo|2913]], [[2938edo|2938]], [[2944edo|2944]], [[2969edo|2969]], [[2975edo|2975]], [[3000edo|3000]], [[3006edo|3006]], [[3025edo|3025]], [[3031edo|3031]], [[3056edo|3056]], [[3062edo|3062]], [[3087edo|3087]], [[3093edo|3093]], [[3118edo|3118]], [[3124edo|3124]], [[3143edo|3143]], [[3149edo|3149]], [[3174edo|3174]], [[3180edo|3180]], [[3205edo|3205]], [[3211edo|3211]], [[3236edo|3236]], [[3242edo|3242]], [[3261edo|3261]], [[3267edo|3267]], [[3292edo|3292]], [[3298edo|3298]], [[3323edo|3323]], [[3329edo|3329]], [[3354edo|3354]], [[3360edo|3360]], [[3379edo|3379]], [[3385edo|3385]], [[3410edo|3410]], [[3416edo|3416]], [[3441edo|3441]], [[3447edo|3447]], [[3472edo|3472]], [[3478edo|3478]], [[3497edo|3497]], [[3503edo|3503]], [[3528edo|3528]], [[3534edo|3534]], [[3559edo|3559]], [[3565edo|3565]], [[3584edo|3584]], [[3590edo|3590]], [[3615edo|3615]], [[3621edo|3621]], [[3646edo|3646]], [[3652edo|3652]], [[3677edo|3677]], [[3683edo|3683]], [[3702edo|3702]], [[3708edo|3708]], [[3733edo|3733]], [[3739edo|3739]], [[3764edo|3764]], [[3770edo|3770]], [[3795edo|3795]], [[3801edo|3801]], [[3820edo|3820]], [[3826edo|3826]], [[3851edo|3851]], [[3857edo|3857]], [[3882edo|3882]], [[3888edo|3888]], [[3913edo|3913]], [[3919edo|3919]], [[3938edo|3938]], [[3944edo|3944]], [[3969edo|3969]], [[3975edo|3975]], [[4000edo|4000]], [[4006edo|4006]], [[4031edo|4031]], [[4037edo|4037]], [[4056edo|4056]], [[4062edo|4062]], [[4087edo|4087]], [[4093edo|4093]], [[4118edo|4118]], [[4124edo|4124]], [[4149edo|4149]], [[4174edo|4174]], [[4180edo|4180]], [[4205edo|4205]], [[4211edo|4211]], [[4236edo|4236]], [[4242edo|4242]], [[4261edo|4261]], [[4267edo|4267]], [[4292edo|4292]], [[4298edo|4298]], [[4323edo|4323]], [[4329edo|4329]], [[4354edo|4354]], [[4360edo|4360]], [[4379edo|4379]], [[4385edo|4385]], [[4410edo|4410]], [[4416edo|4416]], [[4441edo|4441]], [[4447edo|4447]], [[4472edo|4472]], [[4478edo|4478]], [[4497edo|4497]], [[4503edo|4503]], [[4528edo|4528]], [[4534edo|4534]], [[4559edo|4559]], [[4565edo|4565]], [[4590edo|4590]], [[4596edo|4596]], [[4615edo|4615]], [[4621edo|4621]], [[4646edo|4646]], [[4652edo|4652]], [[4677edo|4677]], [[4683edo|4683]], [[4708edo|4708]], [[4733edo|4733]], [[4739edo|4739]], [[4764edo|4764]], [[4770edo|4770]], [[4795edo|4795]], [[4801edo|4801]], [[4820edo|4820]], [[4826edo|4826]], [[4851edo|4851]], [[4857edo|4857]], [[4882edo|4882]], [[4888edo|4888]], [[4913edo|4913]], [[4919edo|4919]], [[4938edo|4938]], [[4944edo|4944]], [[4969edo|4969]], [[4975edo|4975]], [[5000edo|5000]], [[5006edo|5006]], [[5031edo|5031]], [[5037edo|5037]], [[5056edo|5056]], [[5062edo|5062]], [[5087edo|5087]], [[5093edo|5093]], [[5118edo|5118]], [[5124edo|5124]], [[5149edo|5149]], [[5155edo|5155]], [[5174edo|5174]], [[5180edo|5180]], [[5205edo|5205]], [[5211edo|5211]], [[5236edo|5236]], [[5242edo|5242]], [[5267edo|5267]], [[5292edo|5292]], [[5298edo|5298]], [[5323edo|5323]], [[5329edo|5329]], [[5354edo|5354]], [[5360edo|5360]], [[5379edo|5379]], [[5385edo|5385]], [[5410edo|5410]], [[5416edo|5416]], [[5441edo|5441]], [[5447edo|5447]], [[5472edo|5472]], [[5478edo|5478]], [[5497edo|5497]], [[5503edo|5503]], [[5528edo|5528]], [[5534edo|5534]], [[5559edo|5559]], [[5565edo|5565]], [[5590edo|5590]], [[5596edo|5596]], [[5615edo|5615]], [[5621edo|5621]], [[5646edo|5646]], [[5652edo|5652]], [[5677edo|5677]], [[5683edo|5683]], [[5708edo|5708]], [[5733edo|5733]], [[5739edo|5739]], [[5764edo|5764]], [[5770edo|5770]], [[5795edo|5795]], [[5801edo|5801]], [[5826edo|5826]], [[5851edo|5851]], [[5857edo|5857]], [[5882edo|5882]], [[5888edo|5888]], [[5913edo|5913]], [[5938edo|5938]], [[5944edo|5944]], [[5969edo|5969]], [[5975edo|5975]], [[6000edo|6000]], [[6006edo|6006]], [[6031edo|6031]], [[6056edo|6056]], [[6062edo|6062]], [[6087edo|6087]], [[6093edo|6093]], [[6118edo|6118]], [[6149edo|6149]], [[6174edo|6174]], [[6180edo|6180]], [[6205edo|6205]], [[6236edo|6236]], [[6267edo|6267]], [[6292edo|6292]], [[6298edo|6298]], [[6323edo|6323]], [[6354edo|6354]], [[6385edo|6385]], [[6410edo|6410]], [[6441edo|6441]], [[6472edo|6472]], [[6497edo|6497]], [[6528edo|6528]], [[6559edo|6559]], [[6590edo|6590]], [[6615edo|6615]], [[6646edo|6646]], [[6677edo|6677]], [[6733edo|6733]], [[6764edo|6764]], [[6795edo|6795]], [[6851edo|6851]], [[6882edo|6882]], [[6969edo|6969]], [[7087edo|7087]], [[7174edo|7174]]
+|-
+| [[282429536481/268435456000]]
+| [-31 24 -3⟩
+| 87.98
+| [[12edo|12]], [[24edo|24]], [[36edo|36]], [[141edo|141]], [[153edo|153]]
 |-
-| [[729/728]]
+| [[549755813888/533935546875]]
-| [-3 6 0 -1 0 -1⟩
+| [39 -7 -12⟩
-| 2.376
+| 50.55
+| [[13edo|13]], [[21edo|21]], [[34edo|34]], [[55edo|55]], [[68edo|68]], [[89edo|89]], [[102edo|102]], [[123edo|123]], [[136edo|136]], [[157edo|157]]
 |-
-| [[676/675]]
+| [[576650390625/549755813888]]
-| [2 -3 -2 0 0 2⟩
+| [-39 10 10⟩
-| 2.563
+| 82.69
+| [[10edo|10]], [[20edo|20]], [[40edo|40]], [[50edo|50]], [[60edo|60]], [[100edo|100]], [[110edo|110]]
 |-
-| [[625/624]]
+| [[762939453125/743008370688]]
-| [-4 -1 4 0 0 -1⟩
+| [-22 -11 17⟩
-| 2.772
+| 45.83
+| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[71edo|71]], [[76edo|76]], [[90edo|90]], [[109edo|109]], [[128edo|128]], [[147edo|147]], [[166edo|166]], [[218edo|218]], [[237edo|237]], [[256edo|256]]
 |-
-| [[540/539]]
+| [[762939453125/753145430616]]
-| [2 3 1 -2 -1⟩
+| [-3 -23 17⟩
-| 3.209
+| 22.37
+| [[8edo|8]], [[45edo|45]], [[53edo|53]], [[61edo|61]], [[106edo|106]], [[114edo|114]], [[159edo|159]], [[167edo|167]], [[212edo|212]], [[220edo|220]], [[265edo|265]], [[273edo|273]], [[318edo|318]], [[326edo|326]], [[371edo|371]], [[379edo|379]], [[424edo|424]], [[432edo|432]], [[485edo|485]], [[538edo|538]], [[591edo|591]], [[644edo|644]], [[697edo|697]], [[750edo|750]]
 |-
-| [[441/440]]
+| [[782757789696/762939453125]]
-| [-3 2 -1 2 -1⟩
+| [30 6 -17⟩
-| 3.930
+| 44.40
+| [[18edo|18]], [[31edo|31]], [[49edo|49]], [[62edo|62]], [[80edo|80]], [[93edo|93]], [[111edo|111]], [[142edo|142]], [[160edo|160]], [[173edo|173]], [[204edo|204]], [[235edo|235]]
 |-
-| [[847/845]]
+| [[793437161472/762939453125]]
-| [0 0 -1 1 2 -2⟩
+| [11 18 -17⟩
-| 4.093
+| 67.86
+| [[23edo|23]], [[27edo|27]], [[50edo|50]], [[77edo|77]], [[100edo|100]], [[127edo|127]], [[154edo|154]], [[204edo|204]]
 |-
-| [[385/384]]
+| [[847288609443/800000000000]]
-| [-7 -1 1 1 1⟩
+| [-14 25 -11⟩
-| 4.503
+| 99.42
+| [[19edo|19]], [[38edo|38]], [[57edo|57]], [[76edo|76]], [[151edo|151]], [[170edo|170]]
 |-
-| [[364/363]]
+| [[847288609443/819200000000]]
-| [2 -1 0 1 -2 1⟩
+| [-21 25 -8⟩
-| 4.763
+| 58.37
+| [[7edo|7]], [[89edo|89]], [[96edo|96]], [[103edo|103]], [[110edo|110]], [[185edo|185]], [[192edo|192]], [[199edo|199]], [[288edo|288]]
 |-
-| [[352/351]]
+| [[847288609443/838860800000]]
-| [5 -3 0 0 1 -1⟩
+| [-28 25 -5⟩
-| 4.925
+| 17.31
+| [[5edo|5]], [[60edo|60]], [[65edo|65]], [[70edo|70]], [[125edo|125]], [[130edo|130]], [[190edo|190]], [[195edo|195]], [[250edo|250]], [[255edo|255]], [[260edo|260]], [[315edo|315]], [[320edo|320]], [[325edo|325]], [[380edo|380]], [[385edo|385]], [[390edo|390]], [[445edo|445]], [[450edo|450]], [[510edo|510]], [[515edo|515]], [[570edo|570]], [[575edo|575]], [[580edo|580]], [[635edo|635]], [[640edo|640]], [[645edo|645]], [[700edo|700]], [[705edo|705]], [[710edo|710]], [[765edo|765]], [[770edo|770]], [[835edo|835]], [[900edo|900]], [[965edo|965]]
 |-
-| [[351/350]]
+| [[858993459200/847288609443]]
-| [-1 3 -2 -1 0 1⟩
+| [35 -25 2⟩
-| 4.939
+| 23.75
+| [[41edo|41]], [[58edo|58]], [[82edo|82]], [[99edo|99]], [[140edo|140]], [[157edo|157]], [[181edo|181]], [[198edo|198]], [[222edo|222]], [[239edo|239]], [[280edo|280]], [[297edo|297]], [[321edo|321]], [[338edo|338]], [[379edo|379]], [[420edo|420]], [[437edo|437]], [[461edo|461]], [[478edo|478]], [[519edo|519]], [[536edo|536]], [[560edo|560]], [[577edo|577]], [[601edo|601]], [[618edo|618]]
 |-
-| [[325/324]]
+| [[1099511627776/1037970703125]]
-| [-2 -4 2 0 0 1⟩
+| [40 -12 -9⟩
-| 5.335
+| 99.72
+| [[12edo|12]], [[24edo|24]], [[36edo|36]]
 |-
-| [[243/242]]
+| [[1121008359375/1099511627776]]
-| [-1 5 0 0 -2⟩
+| [-40 15 7⟩
-| 7.139
+| 33.52
+| [[2edo|2]], [[41edo|41]], [[43edo|43]], [[82edo|82]], [[84edo|84]], [[86edo|86]], [[125edo|125]], [[127edo|127]], [[129edo|129]], [[166edo|166]], [[168edo|168]], [[170edo|170]], [[209edo|209]], [[211edo|211]], [[250edo|250]], [[252edo|252]], [[293edo|293]]
+|}
+== Commas with denominator <= 2**16, size <= 2187/2048, and primes <= 7 ==
+{| class="wikitable sortable"
+! [[Ratio]]
+! [[Monzo]]
+! [[Cent]]s
 |-
-| [[225/224]]
+| [[16/15]]
-| [-5 2 2 -1⟩
+| [4 -1 -1⟩
-| 7.712
+| 111.73
 |-
-| [[640/637]]
+| [[21/20]]
-| [7 0 1 -2 0 -1⟩
+| [-2 1 -1 1⟩
-| 8.134
+| 84.47
 |-
-| [[196/195]]
+| [[25/24]]
-| [2 -1 -1 2 0 -1⟩
+| [-3 -1 2⟩
-| 8.855
+| 70.67
 |-
-| [[896/891]]
+| [[28/27]]
-| [7 -4 0 1 -1⟩
+| [2 -3 0 1⟩
-| 9.688
+| 62.96
 |-
-| [[176/175]]
+| [[36/35]]
-| [4 0 -2 -1 1⟩
+| [2 2 -1 -1⟩
-| 9.865
+| 48.77
 |-
-| [[169/168]]
+| [[49/48]]
-| [-3 -1 0 -1 0 2⟩
+| [-4 -1 0 2⟩
-| 10.274
+| 35.70
 |-
-| [[144/143]]
+| [[50/49]]
-| [4 2 0 0 -1 -1⟩
+| [1 0 2 -2⟩
-| 12.064
+| 34.98
 |-
-| [[975/968]]
+| [[64/63]]
-| [-3 1 2 0 -2 1⟩
+| [6 -2 0 -1⟩
-| 12.474
+| 27.26
 |-
-| [[275/273]]
+| [[81/80]]
-| [0 -1 2 -1 1 -1⟩
+| [-4 4 -1⟩
-| 12.637
+| 21.51
 |-
 | [[126/125]]
 | [1 2 -3 1⟩
-| 13.795
+| 13.79
+|-
+| [[128/125]]
+| [7 0 -3⟩
+| 41.06
+|-
+| [[135/128]]
+| [-7 3 1⟩
+| 92.18
+|-
+| [[200/189]]
+| [3 -3 2 -1⟩
+| 97.94
+|-
+| [[225/224]]
+| [-5 2 2 -1⟩
+| 7.71
 |-
 | [[245/243]]
 | [0 -5 1 2⟩
-| 14.191
+| 14.19
+|-
+| [[250/243]]
+| [1 -5 3⟩
+| 49.17
+|-
+| [[256/243]]
+| [8 -5⟩
+| 90.22
+|-
+| [[256/245]]
+| [8 0 -1 -2⟩
+| 76.03
 |-
-| [[121/120]]
+| [[343/324]]
-| [-3 -1 -1 0 2⟩
+| [-2 -4 0 3⟩
-| 14.367
+| 98.66
 |-
-| [[832/825]]
+| [[360/343]]
-| [6 -1 -2 0 -1 1⟩
+| [3 2 1 -3⟩
-| 14.627
+| 83.75
 |-
-| [[572/567]]
+| [[392/375]]
-| [2 -4 0 -1 1 1⟩
+| [3 -1 -3 2⟩
-| 15.200
+| 76.76
 |-
-| [[105/104]]
+| [[405/392]]
-| [-3 1 1 1 0 -1⟩
+| [-3 4 1 -2⟩
-| 16.567
+| 56.48
 |-
-| [[512/507]]
+| [[525/512]]
-| [9 -1 0 0 0 -2⟩
+| [-9 1 2 1⟩
-| 16.990
+| 43.41
 |-
-| [[100/99]]
+| [[625/588]]
-| [2 -2 2 0 -1⟩
+| [-2 -1 4 -2⟩
-| 17.399
+| 105.65
 |-
-| [[99/98]]
+| [[648/625]]
-| [-1 2 0 -2 1⟩
+| [3 4 -4⟩
-| 17.576
+| 62.57
 |-
-| [[91/90]]
+| [[686/675]]
-| [-1 -2 -1 1 0 1⟩
+| [1 -3 -2 3⟩
-| 19.130
+| 27.99
 |-
-| [[245/242]]
+| [[729/686]]
-| [-1 0 1 2 -2⟩
+| [-1 6 0 -3⟩
-| 21.330
+| 105.25
 |-
-| [[81/80]]
+| [[729/700]]
-| [-4 4 -1⟩
+| [-2 6 -2 -1⟩
-| 21.506
+| 70.28
 |-
 | [[875/864]]
 | [-5 -3 3 1⟩
-| 21.902
+| 21.90
+|-
+| [[1029/1000]]
+| [-3 1 -3 3⟩
+| 49.49
+|-
+| [[1029/1024]]
+| [-10 1 0 3⟩
+| 8.43
+|-
+| [[1225/1152]]
+| [-7 -2 2 2⟩
+| 106.37
+|-
+| [[1323/1250]]
+| [-1 3 -4 2⟩
+| 98.26
+|-
+| [[1323/1280]]
+| [-8 3 -1 2⟩
+| 57.20
+|-
+| [[1701/1600]]
+| [-6 5 -2 1⟩
+| 105.97
+|-
+| [[1728/1715]]
+| [6 3 -1 -3⟩
+| 13.07
+|-
+| [[1875/1792]]
+| [-8 1 4 -1⟩
+| 78.38
+|-
+| [[2048/2025]]
+| [11 -4 -2⟩
+| 19.55
+|-
+| [[2187/2048]]
+| [-11 7⟩
+| 113.69
+|-
+| [[2240/2187]]
+| [6 -7 1 1⟩
+| 41.45
+|-
+| [[2401/2250]]
+| [-1 -2 -3 4⟩
+| 112.45
+|-
+| [[2401/2400]]
+| [-5 -1 -2 4⟩
+| 0.72
+|-
+| [[2430/2401]]
+| [1 5 1 -4⟩
+| 20.79
+|-
+| [[2560/2401]]
+| [9 0 1 -4⟩
+| 111.01
+|-
+| [[3125/3024]]
+| [-4 -3 5 -1⟩
+| 56.88
+|-
+| [[3125/3072]]
+| [-10 -1 5⟩
+| 29.61
+|-
+| [[3125/3087]]
+| [0 -2 5 -3⟩
+| 21.18
+|-
+| [[3136/3125]]
+| [6 0 -5 2⟩
+| 6.08
+|-
+| [[3200/3087]]
+| [7 -2 2 -3⟩
+| 62.24
+|-
+| [[3584/3375]]
+| [9 -3 -3 1⟩
+| 104.02
+|-
+| [[3645/3584]]
+| [-9 6 1 -1⟩
+| 29.22
+|-
+| [[4000/3969]]
+| [5 -4 3 -2⟩
+| 13.47
+|-
+| [[4375/4374]]
+| [-1 -7 4 1⟩
+| 0.40
+|-
+| [[4608/4375]]
+| [9 2 -4 -1⟩
+| 89.83
+|-
+| [[5103/5000]]
+| [-3 6 -4 1⟩
+| 35.30
+|-
+| [[5120/5103]]
+| [10 -6 1 -1⟩
+| 5.76
+|-
+| [[5625/5488]]
+| [-4 2 4 -3⟩
+| 42.69
+|-
+| [[6125/5832]]
+| [-3 -6 3 2⟩
+| 84.86
+|-
+| [[6144/6125]]
+| [11 1 -3 -2⟩
+| 5.36
+|-
+| [[6272/6075]]
+| [7 -5 -2 2⟩
+| 55.25
+|-
+| [[6561/6250]]
+| [-1 8 -5⟩
+| 84.07
+|-
+| [[6561/6272]]
+| [-7 8 0 -2⟩
+| 77.99
+|-
+| [[6860/6561]]
+| [2 -8 1 3⟩
+| 77.15
+|-
+| [[7000/6561]]
+| [3 -8 3 1⟩
+| 112.13
+|-
+| [[8192/7875]]
+| [13 -2 -3 -1⟩
+| 68.32
+|-
+| [[8505/8192]]
+| [-13 5 1 1⟩
+| 64.91
+|-
+| [[8575/8192]]
+| [-13 0 2 3⟩
+| 79.11
+|-
+| [[8748/8575]]
+| [2 7 -2 -3⟩
+| 34.58
+|-
+| [[9604/9375]]
+| [2 -1 -5 4⟩
+| 41.78
+|-
+| [[10125/9604]]
+| [-2 4 3 -4⟩
+| 91.46
+|-
+| [[10976/10935]]
+| [5 -7 -1 3⟩
+| 6.48
+|-
+| [[12005/11664]]
+| [-4 -6 1 4⟩
+| 49.89
+|-
+| [[12288/12005]]
+| [12 1 -1 -4⟩
+| 40.34
+|-
+| [[12500/11907]]
+| [2 -5 5 -2⟩
+| 84.14
+|-
+| [[15625/15309]]
+| [0 -7 6 -1⟩
+| 35.37
+|-
+| [[15625/15552]]
+| [-6 -5 6⟩
+| 8.11
+|-
+| [[16000/15309]]
+| [7 -7 3 -1⟩
+| 76.43
+|-
+| [[16128/15625]]
+| [8 2 -6 1⟩
+| 54.85
+|-
+| [[16384/15435]]
+| [14 -2 -1 -3⟩
+| 103.30
+|-
+| [[16464/15625]]
+| [4 1 -6 3⟩
+| 90.55
+|-
+| [[16807/16000]]
+| [-7 0 -3 5⟩
+| 85.19
+|-
+| [[16807/16200]]
+| [-3 -4 -2 5⟩
+| 63.68
+|-
+| [[16807/16384]]
+| [-14 0 0 5⟩
+| 44.13
+|-
+| [[16875/16384]]
+| [-14 3 4⟩
+| 51.12
+|-
+| [[16875/16807]]
+| [0 3 4 -5⟩
+| 6.99
+|-
+| [[17280/16807]]
+| [7 3 1 -5⟩
+| 48.05
+|-
+| [[17496/16807]]
+| [3 7 0 -5⟩
+| 69.56
+|-
+| [[19208/18225]]
+| [3 -6 -2 4⟩
+| 90.95
 |-
-| [[78/77]]
+| [[19683/19208]]
-| [1 1 0 -1 -1 1⟩
+| [-3 9 0 -4⟩
-| 22.339
+| 42.29
 |-
-| [[507/500]]
+| [[19683/19600]]
-| [-2 1 -3 0 0 2⟩
+| [-4 9 -2 -2⟩
-| 24.069
+| 7.32
 |-
-| [[625/616]]
+| [[20000/19683]]
-| [-3 0 4 -1 -1⟩
+| [5 -9 4⟩
-| 25.111
+| 27.66
 |-
-| [[343/338]]
+| [[20480/19683]]
-| [-1 0 0 3 0 -2⟩
+| [12 -9 1⟩
-| 25.422
+| 68.72
 |-
-| [[66/65]]
+| [[21609/20480]]
-| [1 1 -1 0 1 -1⟩
+| [-12 2 -1 4⟩
-| 26.432
+| 92.90
 |-
-| [[65/64]]
+| [[21875/20736]]
-| [-6 0 1 0 0 1⟩
+| [-8 -4 5 1⟩
-| 26.841
+| 92.57
 |-
-| [[64/63]]
+| [[23328/21875]]
-| [6 -2 0 -1⟩
+| [5 6 -5 -1⟩
-| 27.264
+| 111.34
 |-
-| [[686/675]]
+| [[28672/28125]]
-| [1 -3 -2 3⟩
+| [12 -2 -5 1⟩
-| 27.985
+| 33.35
 |-
-| [[648/637]]
+| [[30375/28672]]
-| [3 4 0 -2 0 -1⟩
+| [-12 5 3 -1⟩
-| 29.641
+| 99.89
 |-
-| [[847/832]]
+| [[31104/30625]]
-| [-6 0 0 1 2 -1⟩
+| [7 5 -4 -2⟩
-| 30.934
+| 26.87
 |-
-| [[56/55]]
+| [[32805/32768]]
-| [3 0 -1 1 -1⟩
+| [-15 8 1⟩
-| 31.194
+| 1.95
 |-
-| [[891/875]]
+| [[33075/32768]]
-| [0 4 -3 -1 1⟩
+| [-15 3 2 2⟩
-| 31.371
+| 16.14
 |-
-| [[55/54]]
+| [[33614/32805]]
-| [-1 -3 1 0 1⟩
+| [1 -8 -1 5⟩
-| 31.767
+| 42.18
 |-
-| [[637/625]]
+| [[42875/41472]]
-| [0 0 -4 2 0 1⟩
+| [-9 -4 3 3⟩
-| 32.925
+| 57.60
 |-
-| [[729/715]]
+| [[46875/43904]]
-| [0 6 -1 0 -1 -1⟩
+| [-7 1 6 -3⟩
-| 33.571
+| 113.36
 |-
-| [[875/858]]
+| [[50421/50000]]
-| [-1 -1 3 1 -1 -1⟩
+| [-4 1 -5 5⟩
-| 33.966
+| 14.52
 |-
-| [[864/847]]
+| [[51200/50421]]
-| [5 3 0 -1 -2⟩
+| [11 -1 2 -5⟩
-| 34.403
+| 26.54
 |-
-| [[50/49]]
+| [[57344/54675]]
-| [1 0 2 -2⟩
+| [13 -7 -2 1⟩
-| 34.976
+| 82.51
 |-
-| [[49/48]]
+| [[59049/56000]]
-| [-4 -1 0 2⟩
+| [-6 10 -3 -1⟩
-| 35.697
+| 91.78
 |-
-| [[910/891]]
+| [[59049/57344]]
-| [1 -4 1 1 -1 1⟩
+| [-13 10 0 -1⟩
-| 36.529
+| 50.72
 |-
-| [[143/140]]
+| [[61250/59049]]
-| [-2 0 -1 -1 1 1⟩
+| [1 -10 4 2⟩
-| 36.706
+| 63.36
 |-
-| [[864/845]]
+| [[62208/60025]]
-| [5 3 -1 0 0 -2⟩
+| [8 5 -2 -4⟩
-| 38.496
+| 61.84
 |-
-| [[45/44]]
+| [[62720/59049]]
-| [-2 2 1 0 -1⟩
+| [8 -10 1 2⟩
-| 38.906
+| 104.42
 |-
-| [[1024/1001]]
+| [[64827/62500]]
-| [10 0 0 -1 -1 -1⟩
+| [-2 3 -6 4⟩
-| 39.328
+| 63.29
 |-
-| [[351/343]]
+| [[64827/64000]]
-| [0 3 0 -3 0 1⟩
+| [-9 3 -3 4⟩
-| 39.915
+| 22.23
 |-
-| [[819/800]]
+| [[65536/64827]]
-| [-5 2 -2 1 0 1⟩
+| [16 -3 0 -4⟩
-| 40.636
+| 18.83
 |-
-| [[128/125]]
+| [[65625/65536]]
-| [7 0 -3⟩
+| [-16 1 5 1⟩
-| 41.059
+| 2.35
+|}
+== Commas with numerator < 10000, size <= 2187/2048, and primes <= 13 ==
+{| class="wikitable sortable"
+! [[Ratio]]
+! [[Monzo]]
+! [[Cent]]s
 |-
-| [[169/165]]
+| [[16/15]]
-| [0 -1 -1 0 -1 2⟩
+| [4 -1 -1⟩
-| 41.469
+| 111.73
 |-
-| [[968/945]]
+| [[21/20]]
-| [3 -3 -1 -1 2⟩
+| [-2 1 -1 1⟩
-| 41.631
+| 84.47
 |-
-| [[693/676]]
+| [[22/21]]
-| [-2 2 0 1 1 -2⟩
+| [1 -1 0 -1 1⟩
-| 42.999
+| 80.54
 |-
-| [[525/512]]
+| [[25/24]]
-| [-9 1 2 1⟩
+| [-3 -1 2⟩
-| 43.408
+| 70.67
 |-
-| [[40/39]]
+| [[26/25]]
-| [3 -1 1 0 0 -1⟩
+| [1 0 -2 0 0 1⟩
-| 43.831
+| 67.90
 |-
-| [[352/343]]
+| [[27/26]]
-| [5 0 0 -3 1⟩
+| [-1 3 0 0 0 -1⟩
-| 44.840
+| 65.34
 |-
-| [[77/75]]
+| [[28/27]]
-| [0 -1 -2 1 1⟩
+| [2 -3 0 1⟩
-| 45.561
+| 62.96
 |-
-| [[416/405]]
+| [[33/32]]
-| [5 -4 -1 0 0 1⟩
+| [-5 1 0 0 1⟩
-| 46.394
+| 53.27
 |-
-| [[147/143]]
+| [[35/33]]
-| [0 1 0 2 -1 -1⟩
+| [0 -1 1 1 -1⟩
-| 47.761
+| 101.87
 |-
 | [[36/35]]
 | [2 2 -1 -1⟩
-| 48.770
+| 48.77
+|-
+| [[40/39]]
+| [3 -1 1 0 0 -1⟩
+| 43.83
+|-
+| [[45/44]]
+| [-2 2 1 0 -1⟩
+| 38.91
 |-
-| [[250/243]]
+| [[49/48]]
-| [1 -5 3⟩
+| [-4 -1 0 2⟩
-| 49.166
+| 35.70
 |-
-| [[605/588]]
+| [[50/49]]
-| [-2 -1 1 -2 2⟩
+| [1 0 2 -2⟩
-| 49.343
+| 34.98
 |-
-| [[1001/972]]
+| [[52/49]]
-| [-2 -5 0 1 1 1⟩
+| [2 0 0 -2 0 1⟩
-| 50.897
+| 102.88
 |-
-| [[375/364]]
+| [[55/52]]
-| [-2 1 3 -1 0 -1⟩
+| [-2 0 1 0 1 -1⟩
-| 51.543
+| 97.10
 |-
-| [[567/550]]
+| [[55/54]]
-| [-1 4 -2 1 -1⟩
+| [-1 -3 1 0 1⟩
-| 52.701
+| 31.77
 |-
-| [[33/32]]
+| [[56/55]]
-| [-5 1 0 0 1⟩
+| [3 0 -1 1 -1⟩
-| 53.273
+| 31.19
 |-
-| [[624/605]]
+| [[64/63]]
-| [4 1 -1 0 -2 1⟩
+| [6 -2 0 -1⟩
-| 53.533
+| 27.26
 |-
 | [[65/63]]
 | [0 -2 1 -1 0 1⟩
-| 54.105
+| 54.11
+|-
+| [[65/64]]
+| [-6 0 1 0 0 1⟩
+| 26.84
+|-
+| [[66/65]]
+| [1 1 -1 0 1 -1⟩
+| 26.43
 |-
-| [[125/121]]
+| [[77/75]]
-| [0 0 3 0 -2⟩
+| [0 -1 -2 1 1⟩
-| 56.305
+| 45.56
+|-
+| [[78/77]]
+| [1 1 0 -1 -1 1⟩
+| 22.34
+|-
+| [[80/77]]
+| [4 0 1 -1 -1⟩
+| 66.17
 |-
-| [[405/392]]
+| [[81/77]]
-| [-3 4 1 -2⟩
+| [0 4 0 -1 -1⟩
-| 56.482
+| 87.68
 |-
-| [[336/325]]
+| [[81/80]]
-| [4 1 -2 1 0 -1⟩
+| [-4 4 -1⟩
-| 57.626
+| 21.51
 |-
 | [[91/88]]
 | [-3 0 0 1 -1 1⟩
-| 58.036
+| 58.04
+|-
+| [[91/90]]
+| [-1 -2 -1 1 0 1⟩
+| 19.13
+|-
+| [[96/91]]
+| [5 1 0 -1 0 -1⟩
+| 92.60
+|-
+| [[99/98]]
+| [-1 2 0 -2 1⟩
+| 17.58
+|-
+| [[100/99]]
+| [2 -2 2 0 -1⟩
+| 17.40
+|-
+| [[104/99]]
+| [3 -2 0 0 -1 1⟩
+| 85.30
+|-
+| [[105/104]]
+| [-3 1 1 1 0 -1⟩
+| 16.57
+|-
+| [[117/110]]
+| [-1 2 -1 0 -1 1⟩
+| 106.81
+|-
+| [[117/112]]
+| [-4 2 0 -1 0 1⟩
+| 75.61
 |-
 | [[121/117]]
 | [0 -2 0 0 2 -1⟩
-| 58.198
+| 58.20
+|-
+| [[121/120]]
+| [-3 -1 -1 0 2⟩
+| 14.37
+|-
+| [[125/121]]
+| [0 0 3 0 -2⟩
+| 56.31
+|-
+| [[126/121]]
+| [1 2 0 1 -2⟩
+| 70.10
+|-
+| [[126/125]]
+| [1 2 -3 1⟩
+| 13.79
 |-
-| [[512/495]]
+| [[128/121]]
-| [9 -2 -1 0 -1⟩
+| [7 0 0 0 -2⟩
-| 58.458
+| 97.36
 |-
-| [[507/490]]
+| [[128/125]]
-| [-1 1 -1 -2 0 2⟩
+| [7 0 -3⟩
-| 59.045
+| 41.06
 |-
-| [[175/169]]
+| [[132/125]]
-| [0 0 2 1 0 -2⟩
+| [2 1 -3 0 1⟩
-| 60.398
+| 94.33
 |-
-| [[729/704]]
+| [[135/128]]
-| [-6 6 0 0 -1⟩
+| [-7 3 1⟩
-| 60.412
+| 92.18
 |-
-| [[660/637]]
+| [[143/135]]
-| [2 1 1 -2 1 -1⟩
+| [0 -3 -1 0 1 1⟩
-| 61.407
+| 99.67
 |-
-| [[539/520]]
+| [[143/140]]
-| [-3 0 -1 2 1 -1⟩
+| [-2 0 -1 -1 1 1⟩
-| 62.128
+| 36.71
 |-
-| [[648/625]]
+| [[144/143]]
-| [3 4 -4⟩
+| [4 2 0 0 -1 -1⟩
-| 62.565
+| 12.06
 |-
-| [[28/27]]
+| [[147/143]]
-| [2 -3 0 1⟩
+| [0 1 0 2 -1 -1⟩
-| 62.961
+| 47.76
 |-
-| [[363/350]]
+| [[150/143]]
-| [-1 1 -2 -1 2⟩
+| [1 1 2 0 -1 -1⟩
-| 63.138
+| 82.74
 |-
-| [[27/26]]
+| [[169/160]]
-| [-1 3 0 0 0 -1⟩
+| [-5 0 -1 0 0 2⟩
-| 65.337
+| 94.74
 |-
-| [[80/77]]
+| [[169/162]]
-| [4 0 1 -1 -1⟩
+| [-1 -4 0 0 0 2⟩
-| 66.170
+| 73.24
 |-
-| [[343/330]]
+| [[169/165]]
-| [-1 -1 -1 3 -1⟩
+| [0 -1 -1 0 -1 2⟩
-| 66.891
+| 41.47
 |-
-| [[26/25]]
+| [[169/168]]
-| [1 0 -2 0 0 1⟩
+| [-3 -1 0 -1 0 2⟩
-| 67.900
+| 10.27
 |-
-| [[126/121]]
+| [[175/169]]
-| [1 2 0 1 -2⟩
+| [0 0 2 1 0 -2⟩
-| 70.100
+| 60.40
 |-
 | [[176/169]]
 | [4 0 0 0 1 -2⟩
-| 70.263
+| 70.26
 |-
-| [[729/700]]
+| [[176/175]]
-| [-2 6 -2 -1⟩
+| [4 0 -2 -1 1⟩
-| 70.277
+| 9.86
+|-
+| [[180/169]]
+| [2 2 1 0 0 -2⟩
+| 109.17
 |-
-| [[25/24]]
+| [[196/195]]
-| [-3 -1 2⟩
+| [2 -1 -1 2 0 -1⟩
-| 70.672
+| 8.86
 |-
-| [[715/686]]
+| [[200/189]]
-| [-1 0 1 -3 1 1⟩
+| [3 -3 2 -1⟩
-| 71.682
+| 97.94
 |-
-| [[1001/960]]
+| [[225/224]]
-| [-6 -1 -1 1 1 1⟩
+| [-5 2 2 -1⟩
-| 72.403
+| 7.71
 |-
-| [[704/675]]
+| [[243/242]]
-| [6 -3 -2 0 1⟩
+| [-1 5 0 0 -2⟩
-| 72.826
+| 7.14
 |-
-| [[169/162]]
+| [[245/234]]
-| [-1 -4 0 0 0 2⟩
+| [-1 -2 1 2 0 -1⟩
-| 73.235
+| 79.53
 |-
-| [[882/845]]
+| [[245/242]]
-| [1 2 -1 2 0 -2⟩
+| [-1 0 1 2 -2⟩
-| 74.193
+| 21.33
 |-
-| [[735/704]]
+| [[245/243]]
-| [-6 1 1 2 -1⟩
+| [0 -5 1 2⟩
-| 74.603
+| 14.19
 |-
-| [[448/429]]
+| [[250/243]]
-| [6 -1 0 1 -1 -1⟩
+| [1 -5 3⟩
-| 75.025
+| 49.17
 |-
-| [[117/112]]
+| [[256/243]]
-| [-4 2 0 -1 0 1⟩
+| [8 -5⟩
-| 75.612
+| 90.22
 |-
 | [[256/245]]
 | [8 0 -1 -2⟩
-| 76.034
+| 76.03
+|-
+| [[273/256]]
+| [-8 1 0 1 0 1⟩
+| 111.31
+|-
+| [[275/273]]
+| [0 -1 2 -1 1 -1⟩
+| 12.64
+|-
+| [[288/275]]
+| [5 2 -2 0 -1⟩
+| 79.96
+|-
+| [[297/280]]
+| [-3 3 -1 -1 1⟩
+| 102.04
+|-
+| [[325/308]]
+| [-2 0 2 -1 -1 1⟩
+| 93.01
+|-
+| [[325/324]]
+| [-2 -4 2 0 0 1⟩
+| 5.34
+|-
+| [[336/325]]
+| [4 1 -2 1 0 -1⟩
+| 57.63
+|-
+| [[343/324]]
+| [-2 -4 0 3⟩
+| 98.66
+|-
+| [[343/325]]
+| [0 0 -2 3 0 -1⟩
+| 93.32
+|-
+| [[343/330]]
+| [-1 -1 -1 3 -1⟩
+| 66.89
+|-
+| [[343/338]]
+| [-1 0 0 3 0 -2⟩
+| 25.42
+|-
+| [[351/343]]
+| [0 3 0 -3 0 1⟩
+| 39.91
+|-
+| [[351/350]]
+| [-1 3 -2 -1 0 1⟩
+| 4.94
+|-
+| [[352/343]]
+| [5 0 0 -3 1⟩
+| 44.84
+|-
+| [[352/351]]
+| [5 -3 0 0 1 -1⟩
+| 4.93
+|-
+| [[360/343]]
+| [3 2 1 -3⟩
+| 83.75
+|-
+| [[363/343]]
+| [0 1 0 -3 2⟩
+| 98.11
+|-
+| [[363/350]]
+| [-1 1 -2 -1 2⟩
+| 63.14
+|-
+| [[364/363]]
+| [2 -1 0 1 -2 1⟩
+| 4.76
+|-
+| [[375/352]]
+| [-5 1 3 0 -1⟩
+| 109.58
+|-
+| [[375/364]]
+| [-2 1 3 -1 0 -1⟩
+| 51.54
+|-
+| [[385/384]]
+| [-7 -1 1 1 1⟩
+| 4.50
 |-
 | [[392/375]]
 | [3 -1 -3 2⟩
-| 76.756
+| 76.76
+|-
+| [[405/392]]
+| [-3 4 1 -2⟩
+| 56.48
+|-
+| [[416/405]]
+| [5 -4 -1 0 0 1⟩
+| 46.39
+|-
+| [[441/416]]
+| [-5 2 0 2 0 -1⟩
+| 101.03
+|-
+| [[441/440]]
+| [-3 2 -1 2 -1⟩
+| 3.93
 |-
-| [[847/810]]
+| [[448/429]]
-| [-1 -4 -1 1 2⟩
+| [6 -1 0 1 -1 -1⟩
-| 77.328
+| 75.03
 |-
-| [[245/234]]
+| [[455/432]]
-| [-1 -2 1 2 0 -1⟩
+| [-4 -3 1 1 0 1⟩
-| 79.528
+| 89.80
 |-
-| [[288/275]]
+| [[484/455]]
-| [5 2 -2 0 -1⟩
+| [2 0 -1 -1 2 -1⟩
-| 79.965
+| 106.97
 |-
 | [[507/484]]
 | [-2 1 0 0 -2 2⟩
-| 80.374
+| 80.37
+|-
+| [[507/490]]
+| [-1 1 -1 -2 0 2⟩
+| 59.04
+|-
+| [[507/500]]
+| [-2 1 -3 0 0 2⟩
+| 24.07
+|-
+| [[512/495]]
+| [9 -2 -1 0 -1⟩
+| 58.46
+|-
+| [[512/507]]
+| [9 -1 0 0 0 -2⟩
+| 16.99
+|-
+| [[525/512]]
+| [-9 1 2 1⟩
+| 43.41
+|-
+| [[539/507]]
+| [0 -1 0 2 1 -2⟩
+| 105.96
+|-
+| [[539/512]]
+| [-9 0 0 2 1⟩
+| 88.97
 |-
-| [[22/21]]
+| [[539/520]]
-| [1 -1 0 -1 1⟩
+| [-3 0 -1 2 1 -1⟩
-| 80.537
+| 62.13
 |-
-| [[150/143]]
+| [[540/539]]
-| [1 1 2 0 -1 -1⟩
+| [2 3 1 -2 -1⟩
-| 82.737
+| 3.21
 |-
-| [[360/343]]
+| [[567/550]]
-| [3 2 1 -3⟩
+| [-1 4 -2 1 -1⟩
-| 83.746
+| 52.70
 |-
-| [[21/20]]
+| [[572/567]]
-| [-2 1 -1 1⟩
+| [2 -4 0 -1 1 1⟩
-| 84.467
+| 15.20
 |-
-| [[1024/975]]
+| [[605/567]]
-| [10 -1 -2 0 0 -1⟩
+| [0 -4 1 -1 2⟩
-| 84.890
+| 112.30
 |-
 | [[605/576]]
 | [-6 -2 1 0 2⟩
-| 85.040
+| 85.04
+|-
+| [[605/588]]
+| [-2 -1 1 -2 2⟩
+| 49.34
 |-
-| [[104/99]]
+| [[616/585]]
-| [3 -2 0 0 -1 1⟩
+| [3 -2 -1 1 1 -1⟩
-| 85.300
+| 89.39
 |-
-| [[875/832]]
+| [[624/605]]
-| [-6 0 3 1 0 -1⟩
+| [4 1 -1 0 -2 1⟩
-| 87.239
+| 53.53
 |-
-| [[81/77]]
+| [[625/588]]
-| [0 4 0 -1 -1⟩
+| [-2 -1 4 -2⟩
-| 87.676
+| 105.65
 |-
 | [[625/594]]
 | [-1 -3 4 0 -1⟩
-| 88.072
+| 88.07
 |-
-| [[825/784]]
+| [[625/616]]
-| [-4 1 2 -2 1⟩
+| [-3 0 4 -1 -1⟩
-| 88.249
+| 25.11
+|-
+| [[625/624]]
+| [-4 -1 4 0 0 -1⟩
+| 2.77
 |-
-| [[539/512]]
+| [[637/600]]
-| [-9 0 0 2 1⟩
+| [-3 -1 -2 2 0 1⟩
-| 88.970
+| 103.60
 |-
 | [[637/605]]
 | [0 0 -1 2 -2 1⟩
-| 89.230
+| 89.23
+|-
+| [[637/625]]
+| [0 0 -4 2 0 1⟩
+| 32.92
+|-
+| [[640/637]]
+| [7 0 1 -2 0 -1⟩
+| 8.13
+|-
+| [[648/625]]
+| [3 4 -4⟩
+| 62.57
+|-
+| [[648/637]]
+| [3 4 0 -2 0 -1⟩
+| 29.64
+|-
+| [[660/637]]
+| [2 1 1 -2 1 -1⟩
+| 61.41
+|-
+| [[675/637]]
+| [0 3 2 -2 0 -1⟩
+| 100.31
+|-
+| [[676/675]]
+| [2 -3 -2 0 0 2⟩
+| 2.56
 |-
-| [[616/585]]
+| [[686/675]]
-| [3 -2 -1 1 1 -1⟩
+| [1 -3 -2 3⟩
-| 89.392
+| 27.99
+|-
+| [[693/650]]
+| [-1 2 -2 1 1 -1⟩
+| 110.90
 |-
-| [[455/432]]
+| [[693/676]]
-| [-4 -3 1 1 0 1⟩
+| [-2 2 0 1 1 -2⟩
-| 89.802
+| 43.00
 |-
-| [[256/243]]
+| [[704/675]]
-| [8 -5⟩
+| [6 -3 -2 0 1⟩
-| 90.225
+| 72.83
 |-
-| [[891/845]]
+| [[715/672]]
-| [0 4 -1 0 1 -2⟩
+| [-5 -1 1 -1 1 1⟩
-| 91.769
+| 107.38
 |-
-| [[135/128]]
+| [[715/686]]
-| [-7 3 1⟩
+| [-1 0 1 -3 1 1⟩
-| 92.179
+| 71.68
 |-
-| [[96/91]]
+| [[729/686]]
-| [5 1 0 -1 0 -1⟩
+| [-1 6 0 -3⟩
-| 92.601
+| 105.25
 |-
-| [[325/308]]
+| [[729/700]]
-| [-2 0 2 -1 -1 1⟩
+| [-2 6 -2 -1⟩
-| 93.011
+| 70.28
 |-
-| [[343/325]]
+| [[729/704]]
-| [0 0 -2 3 0 -1⟩
+| [-6 6 0 0 -1⟩
-| 93.323
+| 60.41
 |-
-| [[132/125]]
+| [[729/715]]
-| [2 1 -3 0 1⟩
+| [0 6 -1 0 -1 -1⟩
-| 94.332
+| 33.57
 |-
-| [[770/729]]
+| [[729/728]]
-| [1 -6 1 1 1⟩
+| [-3 6 0 -1 0 -1⟩
-| 94.728
+| 2.38
 |-
-| [[169/160]]
+| [[735/704]]
-| [-5 0 -1 0 0 2⟩
+| [-6 1 1 2 -1⟩
-| 94.742
+| 74.60
 |-
 | [[756/715]]
 | [2 3 -1 1 -1 -1⟩
-| 96.532
+| 96.53
 |-
-| [[55/52]]
+| [[770/729]]
-| [-2 0 1 0 1 -1⟩
+| [1 -6 1 1 1⟩
-| 97.104
+| 94.73
 |-
-| [[128/121]]
+| [[819/800]]
-| [7 0 0 0 -2⟩
+| [-5 2 -2 1 0 1⟩
-| 97.364
+| 40.64
 |-
-| [[200/189]]
+| [[825/784]]
-| [3 -3 2 -1⟩
+| [-4 1 2 -2 1⟩
-| 97.937
+| 88.25
 |-
-| [[363/343]]
+| [[832/825]]
-| [0 1 0 -3 2⟩
+| [6 -1 -2 0 -1 1⟩
-| 98.113
+| 14.63
 |-
-| [[343/324]]
+| [[845/792]]
-| [-2 -4 0 3⟩
+| [-3 -2 1 0 -1 2⟩
-| 98.658
+| 112.14
 |-
 | [[847/800]]
 | [-5 0 -2 1 2⟩
-| 98.834
+| 98.83
+|-
+| [[847/810]]
+| [-1 -4 -1 1 2⟩
+| 77.33
+|-
+| [[847/832]]
+| [-6 0 0 1 2 -1⟩
+| 30.93
+|-
+| [[847/845]]
+| [0 0 -1 1 2 -2⟩
+| 4.09
+|-
+| [[864/845]]
+| [5 3 -1 0 0 -2⟩
+| 38.50
+|-
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+| [5 3 0 -1 -2⟩
+| 34.40
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+| [[875/832]]
+| [-6 0 3 1 0 -1⟩
+| 87.24
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+| [[875/858]]
+| [-1 -1 3 1 -1 -1⟩
+| 33.97
+|-
+| [[875/864]]
+| [-5 -3 3 1⟩
+| 21.90
 |-
-| [[143/135]]
+| [[882/845]]
-| [0 -3 -1 0 1 1⟩
+| [1 2 -1 2 0 -2⟩
-| 99.667
+| 74.19
 |-
-| [[675/637]]
+| [[891/845]]
-| [0 3 2 -2 0 -1⟩
+| [0 4 -1 0 1 -2⟩
-| 100.313
+| 91.77
 |-
-| [[441/416]]
+| [[891/875]]
-| [-5 2 0 2 0 -1⟩
+| [0 4 -3 -1 1⟩
-| 101.034
+| 31.37
 |-
 | [[896/845]]
 | [7 0 -1 1 0 -2⟩
-| 101.457
+| 101.46
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+| [[896/891]]
+| [7 -4 0 1 -1⟩
+| 9.69
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+| [[900/847]]
+| [2 2 2 -1 -2⟩
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+| [-2 -5 0 1 1 1⟩
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+| [-3 0 -3 1 1 1⟩
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+| [10 -1 -2 0 0 -1⟩
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+| [10 0 0 -1 -1 -1⟩
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+| [-3 1 0 3 -2⟩
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+| [-3 1 -3 3⟩
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+| [-10 1 0 3⟩
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+| [4 -1 1 -3 0 1⟩
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+| [-3 4 -3 0 0 1⟩
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+| [[1053/1024]]
+| [-10 4 0 0 0 1⟩
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+| [-7 -2 0 1 0 2⟩
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+| [2 3 0 -1 1 -2⟩
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+| [4 1 2 -1 0 -2⟩
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+| [[1210/1183]]
+| [1 0 1 -1 2 -2⟩
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+| [-3 5 1 0 -1 -1⟩
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+| [0 5 1 -1 0 -2⟩
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+| [-7 -2 2 2⟩
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+| [-2 -3 2 2 -1⟩
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+| [-1 2 -4 0 1 1⟩
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+| [-8 2 -1 0 1 1⟩
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+| [-1 3 -4 2⟩
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+| [-2 3 -2 2 0 -1⟩
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+| [-5 -1 0 0 3 -1⟩
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+| [-1 0 -4 0 3⟩
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+| [-2 -2 -1 -1 3⟩
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+| [-1 0 0 -2 3 -1⟩
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+| [[1331/1280]]
+| [-8 0 -1 0 3⟩
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+| [-4 -4 0 0 3⟩
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+| [[1331/1300]]
+| [-2 0 -2 0 3 -1⟩
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+| [0 -3 0 -2 3⟩
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+| [6 1 0 1 -3⟩
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+| [1 3 2 0 -3⟩
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+| [3 -3 0 -2 0 2⟩
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+| [3 0 0 0 -3 2⟩
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+| [0 1 1 1 -3 1⟩
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+| [2 -2 0 3 -1 -1⟩
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+| [2 0 0 3 -3⟩
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+| [-4 -4 3 0 1⟩
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+| [0 -3 3 -2 1⟩
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+| [[1375/1344]]
+| [-6 -1 3 -1 1⟩
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+| [[1375/1352]]
+| [-3 0 3 0 1 -2⟩
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+| [[1375/1372]]
+| [-2 0 3 -3 1⟩
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+| [3 0 2 1 -3⟩
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+| [2 3 0 0 -3 1⟩
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+| [2 3 -3 0 -1 1⟩
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+| [7 -3 0 -2 1⟩
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+| [4 0 -3 1 -1 1⟩
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+| [-4 3 1 -1 1 -1⟩
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+| [2 -2 1 1 1 -2⟩
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+| [5 -3 -1 2 -1⟩
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+| [[1568/1521]]
+| [5 -2 0 2 0 -2⟩
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+| [-3 -3 0 -1 2 1⟩
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+| [-9 -1 0 0 2 1⟩
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+| [-5 0 0 -2 2 1⟩
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+| [0 2 2 1 -2 -1⟩
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+| [6 0 2 0 -2 -1⟩
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+| [[1617/1600]]
+| [-6 1 -2 2 1⟩
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+| [[1620/1573]]
+| [2 4 1 0 -2 -1⟩
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+| [-9 -1 3 0 0 1⟩
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+| [-5 0 3 -2 0 1⟩
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+| [0 -1 3 -2 -1 1⟩
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+| [1 0 -3 1 2 -1⟩
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+| [-6 5 -2 1⟩
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+| [[1701/1664]]
+| [-7 5 0 1 0 -1⟩
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+| [-1 5 -1 1 0 -2⟩
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+| [-7 0 1 3 0 -1⟩
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+| [2 1 -1 -3 1 1⟩
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+| [6 3 -3 0 0 -1⟩
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+| [6 3 -1 -3⟩
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+| [-1 3 1 -1 -2 1⟩
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+| [5 -5 1 -1 1⟩
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+| [1 4 -1 -3 1⟩
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+| [-8 1 1 -1 2⟩
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+| [-1 0 -3 -1 1 2⟩
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+| [-2 -2 0 -2 1 2⟩
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+| [[1859/1792]]
+| [-8 0 0 -1 1 2⟩
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+| [[1859/1800]]
+| [-3 -2 -2 0 1 2⟩
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+| [[1875/1792]]
+| [-8 1 4 -1⟩
+| 78.38
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+| [[1875/1859]]
+| [0 1 4 0 -1 -2⟩
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+| [[1890/1859]]
+| [1 3 1 1 -1 -2⟩
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+| [[1920/1859]]
+| [7 1 1 0 -1 -2⟩
+| 55.90
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+| [[1925/1872]]
+| [-4 -2 2 1 1 -1⟩
+| 48.33
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+| [[1936/1875]]
+| [4 -1 -4 0 2⟩
+| 55.43
+|-
+| [[1936/1911]]
+| [4 -1 0 -2 2 -1⟩
+| 22.50
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+| [[1944/1859]]
+| [3 5 0 0 -1 -2⟩
+| 77.40
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+| [[1944/1925]]
+| [3 5 -2 -1 -1⟩
+| 17.00
+|-
+| [[1960/1859]]
+| [3 0 1 2 -1 -2⟩
+| 91.59
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+| [[2000/1911]]
+| [4 -1 3 -2 0 -1⟩
+| 78.81
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+| [[2002/1875]]
+| [1 -1 -4 1 1 1⟩
+| 113.46
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+| [[2025/2002]]
+| [-1 4 2 -1 -1 -1⟩
+| 19.78
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+| [[2028/1925]]
+| [2 1 -2 -1 -1 2⟩
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+| [11 0 -2 -1 -1⟩
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+| [11 -4 -2⟩
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+| [[2079/2000]]
+| [-4 3 -3 1 1⟩
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+| [-11 3 0 1 1⟩
+| 26.01
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+| [5 -3 1 -1 -1 1⟩
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+| [-11 1 1 0 1 1⟩
+| 80.11
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+| [[2156/2025]]
+| [2 -4 -2 2 1⟩
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+| [-11 7⟩
+| 113.69
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+| [[2187/2080]]
+| [-5 7 -1 0 0 -1⟩
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+| [[2187/2156]]
+| [-2 7 0 -2 -1⟩
+| 24.72
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+| [-1 -1 0 -3 0 3⟩
+| 113.15
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+| [[2197/2079]]
+| [0 -3 0 -1 -1 3⟩
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+| [-2 -1 -2 -1 0 3⟩
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+| [-6 -1 0 0 -1 3⟩
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+| [-2 0 0 -2 -1 3⟩
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+| [-4 -3 -1 0 0 3⟩
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+| [-1 -2 0 0 -2 3⟩
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+| [0 -7 0 0 0 3⟩
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+| [[2200/2197]]
+| [3 0 2 0 1 -3⟩
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+| [0 2 1 2 0 -3⟩
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+| [6 -7 1 1⟩
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+| [6 0 1 1 0 -3⟩
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+| [1 2 3 0 0 -3⟩
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+| [2 4 0 1 0 -3⟩
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+| [-1 -2 2 1 -2 1⟩
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+| [0 -7 2 1 0 1⟩
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+| [4 -2 -1 -2 1 1⟩
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+| [8 2 0 0 0 -3⟩
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+| [8 2 -2 -1 0 -1⟩
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+| [1 1 1 1 1 -3⟩
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+| [-1 -2 -3 4⟩
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+| [-4 0 0 4 -1 -1⟩
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+| [-2 -2 -1 4 0 -1⟩
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+| [-3 -3 0 4 -1⟩
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+| [-5 -1 -2 4⟩
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+| [2 0 1 -4 2⟩
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+| [1 5 1 -4⟩
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+| [[2457/2420]]
+| [-2 3 -1 1 -2 1⟩
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+| [-1 2 2 -1 1 -2⟩
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+| [0 2 2 -4 1⟩
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+| [[2500/2457]]
+| [2 -3 4 -1 0 -1⟩
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+| [0 1 1 -4 0 2⟩
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+| [-5 1 1 -1 -1 2⟩
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+| [-2 1 -4 1 2⟩
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+| [9 0 1 -4⟩
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+| [9 -3 1 -1 0 -1⟩
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+| [9 -1 1 -1 -2⟩
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+| [3 -1 2 -1 -2 1⟩
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+| [1 -1 -1 0 3 -2⟩
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+| [1 -1 -3 -1 3⟩
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+| [[2673/2548]]
+| [-2 5 0 -2 1 -1⟩
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+| [-9 5 -1 0 1⟩
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+| [-3 5 -2 0 1 -1⟩
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+| [[2695/2592]]
+| [-5 -4 1 2 1⟩
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+| [[2704/2541]]
+| [4 -1 0 -1 -2 2⟩
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+| [4 -1 -3 -1 0 2⟩
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+| [4 -5 0 0 -1 2⟩
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+| [4 0 -1 -2 -1 2⟩
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+| [3 -5 0 3 -1⟩
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+| [4 -5 2 1 -1⟩
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+| [3 3 -1 -2 -1 1⟩
+| 71.11
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+| [-1 4 1 1 -3⟩
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+| [-4 4 1 1 0 -2⟩
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+| [[2835/2816]]
+| [-8 4 1 1 -1⟩
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+| [-3 2 2 -3 0 1⟩
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+| [-8 2 2 0 -1 1⟩
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+| [-5 0 2 -1 2 -1⟩
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+| [-4 -3 2 -1 2⟩
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+| [1 2 -2 0 -2 2⟩
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+| [10 1 -2 0 -2⟩
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+| [0 2 -2 3 -2⟩
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+| [0 -1 5 -1 -1 -1⟩
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+| [-4 -3 5 -1⟩
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+| [-1 -2 5 0 0 -2⟩
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+| [-10 -1 5⟩
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+| [0 -2 5 -3⟩
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+| [6 0 -5 2⟩
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+| [1 -2 0 -3 2 1⟩
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+| [[3146/3125]]
+| [1 0 -5 0 2 1⟩
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+| [0 5 -2 0 -2 1⟩
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+| [[3159/3080]]
+| [-3 5 -1 -1 -1 1⟩
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+| [[3159/3125]]
+| [0 5 -5 0 0 1⟩
+| 18.73
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+| [[3159/3136]]
+| [-6 5 0 -2 0 1⟩
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+| [5 2 -5 0 1⟩
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+| [[3185/3072]]
+| [-10 -1 1 2 0 1⟩
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+| [[3185/3168]]
+| [-5 -2 1 2 -1 1⟩
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+| [7 -1 2 -1 -1 -1⟩
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+| [[3200/3087]]
+| [7 -2 2 -3⟩
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+| [7 -5 2 0 0 -1⟩
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+| [[3234/3125]]
+| [1 1 -5 2 1⟩
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+| [[3250/3087]]
+| [1 -2 3 -3 0 1⟩
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+| [0 3 -5 0 2⟩
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+| [[3267/3136]]
+| [-6 3 0 -2 2⟩
+| 70.85
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+| [[3267/3185]]
+| [0 3 -1 -2 2 -1⟩
+| 44.01
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+| [[3267/3200]]
+| [-7 3 -2 0 2⟩
+| 35.87
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+| [[3267/3250]]
+| [-1 3 -3 0 2 -1⟩
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+| [[3276/3125]]
+| [2 2 -5 1 0 1⟩
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+| [[3328/3125]]
+| [8 0 -5 0 0 1⟩
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+| [[3328/3267]]
+| [8 -3 0 0 -2 1⟩
+| 32.03
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+| [[3375/3328]]
+| [-8 3 3 0 0 -1⟩
+| 24.28
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+| [[3380/3267]]
+| [2 -3 1 0 -2 2⟩
+| 58.87
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+| [[3388/3375]]
+| [2 -3 -3 1 2⟩
+| 6.66
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+| [-6 2 3 1 -2⟩
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+| [-13 5 1 1⟩
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+| [-13 0 2 3⟩
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+| [-8 -1 2 3 -1⟩
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+| [3 2 -2 -3 2⟩
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+| [2 7 -2 -3⟩
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+| [-4 3 2 -2 -1 1⟩
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+| [2 0 -2 -3 0 3⟩
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+| [5 0 2 -2 1 -2⟩
+| 105.24
+|-
+| [[9075/8788]]
+| [-2 1 2 0 2 -3⟩
+| 55.64
+|-
+| [[9075/8918]]
+| [-1 1 2 -3 2 -1⟩
+| 30.21
+|-
+| [[9126/8575]]
+| [1 3 -2 -3 0 2⟩
+| 107.82
+|-
+| [[9152/8575]]
+| [6 0 -2 -3 1 1⟩
+| 112.74
+|-
+| [[9261/8788]]
+| [-2 3 0 3 0 -3⟩
+| 90.76
+|-
+| [[9261/8800]]
+| [-5 3 -2 3 -1⟩
+| 88.40
+|-
+| [[9261/9152]]
+| [-6 3 0 3 -1 -1⟩
+| 20.50
+|-
+| [[9295/8748]]
+| [-2 -7 1 0 1 2⟩
+| 105.00
+|-
+| [[9295/9072]]
+| [-4 -4 1 -1 1 2⟩
+| 42.04
+|-
+| [[9295/9216]]
+| [-10 -2 1 0 1 2⟩
+| 14.78
+|-
+| [[9295/9261]]
+| [0 -3 1 -3 1 2⟩
+| 6.34
+|-
+| [[9317/8748]]
+| [-2 -7 0 1 3⟩
+| 109.09
+|-
+| [[9317/8775]]
+| [0 -3 -2 1 3 -1⟩
+| 103.76
+|-
+| [[9317/8788]]
+| [-2 0 0 1 3 -3⟩
+| 101.20
+|-
+| [[9317/9000]]
+| [-3 -2 -3 1 3⟩
+| 59.93
+|-
+| [[9317/9126]]
+| [-1 -3 0 1 3 -2⟩
+| 35.86
+|-
+| [[9317/9216]]
+| [-10 -2 0 1 3⟩
+| 18.87
+|-
+| [[9360/9317]]
+| [4 2 1 -1 -3 1⟩
+| 7.97
+|-
+| [[9375/8788]]
+| [-2 1 5 0 0 -3⟩
+| 111.94
+|-
+| [[9375/8918]]
+| [-1 1 5 -3 0 -1⟩
+| 86.52
+|-
+| [[9375/9152]]
+| [-6 1 5 0 -1 -1⟩
+| 41.68
+|-
+| [[9375/9317]]
+| [0 1 5 -1 -3⟩
+| 10.74
+|-
+| [[9408/9295]]
+| [6 1 -1 2 -1 -2⟩
+| 20.92
+|-
+| [[9464/9075]]
+| [3 -1 -2 1 -2 2⟩
+| 72.66
+|-
+| [[9464/9375]]
+| [3 -1 -5 1 0 2⟩
+| 16.36
+|-
+| [[9477/8960]]
+| [-8 6 -1 -1 0 1⟩
+| 97.12
+|-
+| [[9477/9317]]
+| [0 6 0 -1 -3 1⟩
+| 29.48
+|-
+| [[9600/9317]]
+| [7 1 2 -1 -3⟩
+| 51.80
+|-
+| [[9604/9075]]
+| [2 -1 -2 4 -2⟩
+| 98.09
 |-
-| [[35/33]]
+| [[9604/9295]]
-| [0 -1 1 1 -1⟩
+| [2 0 -1 4 -1 -2⟩
-| 101.867
+| 56.62
 |-
-| [[297/280]]
+| [[9604/9375]]
-| [-3 3 -1 -1 1⟩
+| [2 -1 -5 4⟩
-| 102.043
+| 41.78
 |-
-| [[52/49]]
+| [[9604/9477]]
-| [2 0 0 -2 0 1⟩
+| [2 -6 0 4 0 -1⟩
-| 102.876
+| 23.05
 |-
-| [[637/600]]
+| [[9625/9126]]
-| [-3 -1 -2 2 0 1⟩
+| [-1 -3 3 1 1 -2⟩
-| 103.597
+| 92.16
 |-
-| [[900/847]]
+| [[9625/9216]]
-| [2 2 2 -1 -2⟩
+| [-10 -2 3 1 1⟩
-| 105.076
+| 75.17
 |-
-| [[729/686]]
+| [[9625/9477]]
-| [-1 6 0 -3⟩
+| [0 -6 3 1 1 -1⟩
-| 105.252
+| 26.83
 |-
-| [[625/588]]
+| [[9680/9261]]
-| [-2 -1 4 -2⟩
+| [4 -3 1 -3 2⟩
-| 105.648
+| 76.61
 |-
-| [[539/507]]
+| [[9680/9477]]
-| [0 -1 0 2 1 -2⟩
+| [4 -6 1 0 2 -1⟩
-| 105.959
+| 36.69
 |-
-| [[117/110]]
+| [[9720/9317]]
-| [-1 2 -1 0 -1 1⟩
+| [3 5 1 -1 -3⟩
-| 106.806
+| 73.31
 |-
-| [[484/455]]
+| [[9750/9317]]
-| [2 0 -1 -1 2 -1⟩
+| [1 1 3 -1 -3 1⟩
-| 106.969
+| 78.64
 |-
-| [[715/672]]
+| [[9800/9477]]
-| [-5 -1 1 -1 1 1⟩
+| [3 -6 2 2 0 -1⟩
-| 107.378
+| 58.02
 |-
-| [[180/169]]
+| [[9801/9464]]
-| [2 2 1 0 0 -2⟩
+| [-3 4 0 -1 2 -2⟩
-| 109.168
+| 60.57
 |-
-| [[375/352]]
+| [[9801/9800]]
-| [-5 1 3 0 -1⟩
+| [-3 4 -2 -2 2⟩
-| 109.578
+| 0.18
 |-
-| [[693/650]]
+| [[9856/9375]]
-| [-1 2 -2 1 1 -1⟩
+| [7 -1 -5 1 1⟩
-| 110.899
+| 86.62
 |-
-| [[273/256]]
+| [[9856/9477]]
-| [-8 1 0 1 0 1⟩
+| [7 -6 0 1 1 -1⟩
-| 111.309
+| 67.89
 |-
-| [[16/15]]
+| [[9984/9625]]
-| [4 -1 -1⟩
+| [8 1 -3 -1 -1 1⟩
-| 111.731
+| 63.40
 |}

User:Contribution/Commas: Difference between revisions

Latest revision as of 01:21, 8 June 2026

Commas with denominator <= 2**40, size <= 2187/2048, and primes <= 5

Commas with denominator <= 2**16, size <= 2187/2048, and primes <= 7

Commas with numerator < 10000, size <= 2187/2048, and primes <= 13

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