Query:
/api/mf_hecke_nf/?_offset=0
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-2, 0, -1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, -1, 0, 1, 0, 0, 1, 0], [0, 0, 3, 0, 1, 1, -1, 0], [-4, 0, -4, 0, 0, -4, 0, 0], [13, 0, 3, 0, -3, 0, 0, 0], [0, 1, 0, -1, 0, -1, 1, -2], [0, 0, -3, 0, -1, 5, 0, 0], [0, -4, 0, 0, 0, 1, -2, -2], [0, 2, 0, -4, 0, -1, -2, -1], [-19, -3, -2, -1, 3, 0, 1, 2], [0, 0, -9, 0, -3, -14, 0, 0], [8, 0, -4, 0, -12, 4, 0, 0], [0, -2, 0, 4, 0, 1, 2, 0], [11, 0, 19, 0, 6, 6, 0, 0], [0, -1, 0, 0, 0, -1, 2, 0], [0, 8, 0, 4, 0, 3, -2, 2], [-8, -2, -17, 4, 17, 1, 2, -1], [30, 0, 2, 0, 8, -12, 0, 0], [0, 0, 21, 0, 7, 19, 0, 0], [0, -4, 0, -4, 0, 0, -4, 8], [-59, 0, 19, 0, -19, 0, 0, 0], [0, 23, 0, 1, 0, -1, 3, 6], [0, -8, 0, 0, 0, -3, 6, 0], [-6, 16, -25, -4, -3, -8, -2, -6], [-74, 0, -18, 0, 18, 0, 0, 0], [32, 0, 6, 0, -34, 22, 0, 0], [0, -6, 0, 0, 0, 3, -6, 0], [144, 0, 32, 0, 16, 0, 0, 0], [0, 2, 0, -4, 0, -1, -2, -10], [0, -24, 0, 0, 0, 2, -4, -4], [0, 7, 51, 0, 17, -32, 4, 0], [-122, 0, -1, 0, 25, 1, 0, 0], [174, 0, 14, 0, -14, 0, 0, 0], [0, 7, 0, 1, 0, 2, -3, -4], [0, 0, -147, 0, -49, -10, 0, 0], [0, -44, 0, 4, 0, -4, 12, 0], [0, -4, 0, 8, 0, 2, 4, 10], [-128, -25, -42, 1, -34, -31, -5, -2], [0, 0, 3, 0, 1, 25, 0, 0], [-148, 0, 14, 0, -30, 18, 0, 0], [0, 6, 0, -12, 0, -3, -6, 1], [-102, 0, -14, 0, 52, -24, 0, 0], [0, 6, 0, 0, 0, 7, -14, 0], [0, 32, 0, -16, 0, -12, 8, -8], [185, 6, -26, -12, 26, -3, -6, 10], [211, 0, -21, 0, 38, 38, 0, 0], [0, 0, 156, 0, 52, 24, 0, 0], [0, -16, 0, 20, 0, -3, 26, -18], [-146, 0, 76, 0, -76, 0, 0, 0], [0, 26, 0, -2, 0, 6, -14, -12], [0, 48, 0, 0, 0, 13, -26, 0], [100, 4, 0, 20, -36, -4, 12, 16], [-24, 0, 31, 0, -31, 0, 0, 0], [-70, 0, -110, 0, -36, -36, 0, 0], [0, 29, 0, 0, 0, -15, 30, 0], [368, 0, 100, 0, 84, -4, 0, 0], [0, -8, 0, 16, 0, 4, 8, 39], [0, -12, 0, -12, 0, -6, 0, 12], [0, -42, 84, 0, 28, 28, -7, 0], [-416, 0, 112, 0, 16, 16, 0, 0], [56, 0, -127, 0, 127, 0, 0, 0], [0, 14, 0, 10, 0, 8, -6, 24], [0, 0, -141, 0, -47, -11, 0, 0], [0, 8, 0, -24, 0, 0, -24, 16], [0, -14, 0, 28, 0, 7, 14, -38], [-400, 5, -34, 11, -26, 98, 3, -8], [0, 0, -126, 0, -42, -7, 0, 0], [-148, 0, -172, 0, -24, -28, 0, 0], [0, 6, 0, -12, 0, -3, -6, -10], [-62, 0, 202, 0, 28, 28, 0, 0], [0, -21, 0, 0, 0, -19, 38, 0], [0, -28, 0, 8, 0, 1, 6, 14], [46, 8, -9, -16, 9, -4, -8, -38], [960, 0, 98, 0, -118, -78, 0, 0], [0, 0, 24, 0, 8, -159, 0, 0], [0, 48, 0, -32, 0, 12, -56, -24], [-623, 0, -3, 0, 3, 0, 0, 0], [0, -38, 0, -10, 0, -6, 2, -28], [0, -119, 0, 0, 0, -10, 20, 0], [560, 0, -60, -28, -76, 57, -22, 14], [128, 0, 108, 0, -108, 0, 0, 0], [30, 0, -2, 0, 52, -48, 0, 0], [0, -110, 0, 0, 0, 18, -36, 0], [472, 0, -88, 0, 80, 8, 0, 0], [0, -2, 0, 4, 0, 1, 2, -70], [0, 73, 0, -1, 0, -7, 13, 10], [0, 91, 177, 0, 59, 157, 18, 0], [-476, 0, -206, 0, -114, -18, 0, 0], [-288, 0, -120, 0, 120, 0, 0, 0], [0, -48, 0, -8, 0, -14, 20, 28], [0, 0, -93, 0, -31, 74, 0, 0], [0, 112, 0, 48, 0, 16, 16, 0], [0, 26, 0, -52, 0, -13, -26, 60], [-393, 82, 133, -10, -52, -68, 22, -8], [0, 0, 15, 0, 5, -19, 0, 0], [-490, 0, 135, 0, 17, -135, 0, 0]], 'ap': [[-1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 3, 0, 1, 1, -1, 0], [0, 0, -3, 0, -1, 5, 0, 0], [0, 2, 0, -4, 0, -1, -2, -1], [0, -2, 0, 4, 0, 1, 2, 0], [0, -1, 0, 0, 0, -1, 2, 0], [0, 0, 21, 0, 7, 19, 0, 0], [-74, 0, -18, 0, 18, 0, 0, 0], [0, -6, 0, 0, 0, 3, -6, 0], [174, 0, 14, 0, -14, 0, 0, 0], [0, -4, 0, 8, 0, 2, 4, 10], [0, 0, 3, 0, 1, 25, 0, 0], [0, 6, 0, 0, 0, 7, -14, 0], [-146, 0, 76, 0, -76, 0, 0, 0], [0, 29, 0, 0, 0, -15, 30, 0], [0, -8, 0, 16, 0, 4, 8, 39], [0, 0, -141, 0, -47, -11, 0, 0], [0, 0, -126, 0, -42, -7, 0, 0], [0, 6, 0, -12, 0, -3, -6, -10], [0, 0, 24, 0, 8, -159, 0, 0], [0, -119, 0, 0, 0, -10, 20, 0], [0, -2, 0, 4, 0, 1, 2, -70], [0, 26, 0, -52, 0, -13, -26, 60], [0, -26, 0, 52, 0, 13, 26, 37], [0, 62, 0, 0, 0, 18, -36, 0], [0, 0, 63, 0, 21, -79, 0, 0], [630, 0, -88, 0, 88, 0, 0, 0], [154, 0, 29, 0, -29, 0, 0, 0], [0, 0, 93, 0, 31, 215, 0, 0], [0, -99, 0, 0, 0, 26, -52, 0], [250, 0, 88, 0, -88, 0, 0, 0], [0, -315, 0, 0, 0, -9, 18, 0], [-1522, 0, 120, 0, -120, 0, 0, 0], [0, 0, 717, 0, 239, -253, 0, 0], [0, 10, 0, -20, 0, -5, -10, -29], [0, 0, -843, 0, -281, 113, 0, 0], [0, 322, 0, 0, 0, 16, -32, 0], [0, -66, 0, 132, 0, 33, 66, 31], [0, 0, 369, 0, 123, 529, 0, 0], [0, -44, 0, 88, 0, 22, 44, -59], [0, 0, 36, 0, 12, 81, 0, 0], [-1014, 0, -519, 0, 519, 0, 0, 0], [2158, 0, 98, 0, -98, 0, 0, 0], [0, -426, 0, 0, 0, -14, 28, 0], [0, 0, -1161, 0, -387, -267, 0, 0], [0, 336, 0, 0, 0, -124, 248, 0], [0, 463, 0, 0, 0, 97, -194, 0], [0, -18, 0, 36, 0, 9, 18, -267], [1242, 0, -688, 0, 688, 0, 0, 0], [0, 0, 1017, 0, 339, 215, 0, 0], [0, -98, 0, 196, 0, 49, 98, -104], [0, -273, 0, 0, 0, -92, 184, 0], [0, -12, 0, 24, 0, 6, 12, 296], [0, 0, -1290, 0, -430, 305, 0, 0], [0, -86, 0, 172, 0, 43, 86, -273], [0, -344, 0, 0, 0, -98, 196, 0], [2462, 0, -626, 0, 626, 0, 0, 0], [-694, 0, 208, 0, -208, 0, 0, 0], [0, -489, 0, 0, 0, -44, 88, 0], [0, 142, 0, -284, 0, -71, -142, -155], [0, 329, 0, 0, 0, 34, -68, 0], [0, -356, 0, 0, 0, 225, -450, 0], [0, -104, 0, 208, 0, 52, 104, 278], [-490, 0, -662, 0, 662, 0, 0, 0], [0, 0, 1929, 0, 643, 1149, 0, 0], [-1350, 0, 1453, 0, -1453, 0, 0, 0], [0, 0, -717, 0, -239, 1265, 0, 0], [0, -188, 0, 376, 0, 94, 188, 583], [0, 336, 0, -672, 0, -168, -336, -328], [0, 0, -963, 0, -321, -789, 0, 0], [0, 1296, 0, 0, 0, -42, 84, 0], [-3106, 0, 618, 0, -618, 0, 0, 0], [0, 0, -2007, 0, -669, -2347, 0, 0], [0, -1058, 0, 0, 0, 181, -362, 0], [4270, 0, 1466, 0, -1466, 0, 0, 0], [0, 160, 0, -320, 0, -80, -160, -101], [4698, 0, 13, 0, -13, 0, 0, 0], [0, 52, 0, -104, 0, -26, -52, 6], [0, 1141, 0, 0, 0, -62, 124, 0], [-1122, 0, 772, 0, -772, 0, 0, 0], [0, 0, -1875, 0, -625, -1105, 0, 0], [0, 18, 0, -36, 0, -9, -18, 560], [0, 496, 0, 0, 0, 15, -30, 0], [0, 0, 1941, 0, 647, -291, 0, 0], [-1150, 0, -2476, 0, 2476, 0, 0, 0], [9202, 0, 1303, 0, -1303, 0, 0, 0], [0, 124, 0, -248, 0, 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-1126, 0], [0, -2554, 0, 0, 0, -334, 668, 0], [16918, 0, 1428, 0, -1428, 0, 0, 0], [0, 0, 5403, 0, 1801, -2211, 0, 0], [0, -358, 0, 716, 0, 179, 358, 1033], [-7358, 0, -380, 0, 380, 0, 0, 0], [0, 436, 0, -872, 0, -218, -436, 177], [0, 0, -4053, 0, -1351, -2791, 0, 0], [0, -855, 0, 0, 0, -558, 1116, 0], [-4954, 0, -588, 0, 588, 0, 0, 0], [-11682, 0, 2820, 0, -2820, 0, 0, 0], [0, -1786, 0, 0, 0, 395, -790, 0], [0, 322, 0, 0, 0, -602, 1204, 0], [0, -428, 0, 856, 0, 214, 428, -1305], [0, 0, -3135, 0, -1045, 2969, 0, 0], [0, 0, -2907, 0, -969, -2917, 0, 0], [0, 0, 2841, 0, 947, -1737, 0, 0], [-11762, 0, 212, 0, -212, 0, 0, 0], [0, 412, 0, -824, 0, -206, -412, -178], [0, 206, 0, -412, 0, -103, -206, -1684], [0, -144, 0, 288, 0, 72, 144, -1247], [0, 3599, 0, 0, 0, -505, 1010, 0], [0, 158, 0, -316, 0, -79, -158, -21], [-7086, 0, 767, 0, -767, 0, 0, 0], [0, -3717, 0, 0, 0, -388, 776, 0], [1406, 0, -434, 0, 434, 0, 0, 0], [0, 0, 582, 0, 194, 841, 0, 0], [0, 0, -51, 0, -17, -131, 0, 0], [0, -96, 0, 192, 0, 48, 96, 1367], [0, 4494, 0, 0, 0, -42, 84, 0], [0, 426, 0, -852, 0, -213, -426, 1849], [0, -464, 0, 928, 0, 232, 464, 1134], [0, 2407, 0, 0, 0, 388, -776, 0], [0, 0, 564, 0, 188, 1, 0, 0], [22726, 0, -3674, 0, 3674, 0, 0, 0], [0, 648, 0, -1296, 0, -324, -648, -1764], [0, 0, 1203, 0, 401, 925, 0, 0], [0, 2834, 0, 0, 0, -174, 348, 0], [0, 0, -2475, 0, -825, -4635, 0, 0], [0, 0, -10455, 0, -3485, 2279, 0, 0], [0, 0, -8742, 0, -2914, -3055, 0, 0], [0, -1138, 0, 2276, 0, 569, 1138, 1812], [0, -582, 0, 1164, 0, 291, 582, -426], [0, 986, 0, -1972, 0, -493, -986, -745], [0, 0, 11487, 0, 3829, 2693, 0, 0], [-39574, 0, -1688, 0, 1688, 0, 0, 0], [0, 0, 4317, 0, 1439, 4251, 0, 0], [0, 1161, 0, 0, 0, -747, 1494, 0], [1362, 0, -5760, 0, 5760, 0, 0, 0], [0, -3366, 0, 0, 0, -198, 396, 0], [0, 0, -1332, 0, -444, 7361, 0, 0], [0, 292, 0, -584, 0, -146, -292, 161]], 'char_orbit_index': 4, 'field_poly': [8978, 1072, -3172, -464, 493, 84, -30, -4, 1], 'hecke_orbit_code': 4503805852909596, 'hecke_ring_character_values': [[15, [-1, 0, 0, 0, 0, 0, 0, 0]], [17, [-1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 11759822513, 11759822513, 7201361, 11759822513, 11759822513, 11759822513, 379019], 'hecke_ring_inverse_denominators': [1, 2, 4, 4, 4, 8, 4, 8], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0], [38, 2, 6, 2, -2, 1, 2, 0], [86, 17, 79, 6, 3, 10, 6, -3], [330, 32, 305, 60, 39, 83, 48, -16], [1764, -68, 3838, 560, 834, 965, 330, -250], [-2086, -928, 8337, 1576, 3229, 2877, 754, -590], [-63556, -20408, 73906, 15134, 39754, 28219, 4344, -6440]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [26653239984, 31061346042, -7812762598, -1820971716, 856630098, 12013496, -28020178, 2107780], [-38413062497, -7541701016, 7812762598, 1820971716, -856630098, -12013496, 28020178, -2107780], [-204544903, 78029576, 48793686, -9022980, -3328540, 648572, 27552, -5280], [158760439399, -34928966104, -33992527302, 10555104876, 4456400722, -946363840, -178195062, 37410820], [-65434616690, 42141065120, 32020502452, -14881408792, -6385173864, 1067149048, 411792664, -71287048], [390648894103, -191858039266, -121788747936, 29088392180, 14797753670, -2515029448, -485124166, 85892144], [-15131816, -1479810, 4834142, 374248, -509450, -17704, 28790, -2876]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'id': 4191, 'label': '28.4.d.b', 'level': 28, 'maxp': 997, 'weight': 4}