Query:
/api/mf_hecke_nf/?_offset=0
{'an': [[1, 0, 0, 0, 0], [0, 0, 0, -1, 0], [0, 0, 1, 0, 0], [6, -2, 0, 1, 0], [0, 0, 0, 0, 0], [-1, 0, 0, 0, -1], [-3, -4, 1, 0, 1], [-2, 2, 0, -9, -4], [-5, 3, 2, -2, 1], [0, 0, 0, 0, 0], [26, -1, 3, -4, -1], [-3, -4, -4, 0, 1], [-20, -1, 4, 6, 1], [26, 4, -4, -16, -10], [0, 0, 0, 0, 0], [54, -18, 16, 9, 8], [-17, 0, 0, 0, 0], [11, 0, -4, 23, 3], [9, -4, 6, 0, 13], [0, 0, 0, 0, 0], [3, -5, -18, 2, -2], [56, -12, 4, -28, -4], [-13, 2, 13, 28, 5], [39, 4, -4, -16, 3], [0, 0, 0, 0, 0], [-79, 16, -4, 10, -7], [37, 12, -10, 0, -3], [198, -40, 32, 0, 14], [55, 14, 6, -36, -5], [0, 0, 0, 0, 0], [15, -15, 39, -16, -2], [6, 34, -32, -73, -28], [71, 7, 24, -10, 2], [0, 0, 0, 17, 0], [0, 0, 0, 0, 0], [-269, 34, -28, -15, -7], [94, -16, 22, -16, 36], [57, 52, -52, -16, -27], [81, 10, -14, -4, 7], [0, 0, 0, 0, 0], [40, -16, 42, 20, 34], [14, -4, 8, -32, 10], [1, 13, -64, -48, -12], [240, -64, -8, -60, -16], [0, 0, 0, 0, 0], [-402, 76, -20, 0, -14], [-198, 35, 34, -52, 11], [237, 12, 20, 0, 1], [142, -9, 14, 2, -20], [0, 0, 0, 0, 0], [0, 0, -17, 0, 0], [-93, 0, -4, 94, 35], [189, -10, 24, 28, -3], [-71, -12, 12, 20, 37], [0, 0, 0, 0, 0], [42, 24, -24, -256, -46], [-19, 10, 40, 40, -33], [399, -92, 20, 46, 27], [255, 46, 22, -44, -27], [0, 0, 0, 0, 0], [-95, -20, -96, 100, 15], [269, -40, 8, -76, -67], [-301, 44, -91, 28, -37], [334, -114, -16, 137, 64], [0, 0, 0, 0, 0], [80, -12, -8, -24, -12], [-191, 27, -74, -4, -14], [-102, 34, 0, -17, 0], [263, 43, 38, -6, 26], [0, 0, 0, 0, 0], [265, 55, -21, 72, -6], [-75, -58, 60, 263, 79], [19, 30, -30, 64, -5], [406, 112, -144, -122, -90], [0, 0, 0, 0, 0], [-189, -108, 60, 192, 79], [167, -117, -24, -98, -10], [31, 20, -28, -20, 27], [114, 13, -39, 116, -67], [0, 0, 0, 0, 0], [-28, -87, 14, 62, -28], [-124, 176, -136, -106, -108], [-103, -97, -52, 100, 118], [470, 16, 104, -8, -10], [0, 0, 0, 0, 0], [622, -144, 48, 100, 102], [179, 46, 122, -32, -15], [736, -88, 32, -292, -72], [194, -3, 66, 70, 57], [0, 0, 0, 0, 0], [26, 38, -66, 128, 20], [-374, -72, -48, 544, 146], [834, 87, 12, -86, 29], [517, -60, -44, 436, 25], [0, 0, 0, 0, 0], [-401, -28, 28, -48, -21], [493, 0, 144, 68, 63], [-48, -76, 80, -209, -12], [-192, 113, 79, 68, 35], [0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, -1, 0], [0, 0, 1, 0, 0], [0, 0, 0, 0, 0], [-3, -4, 1, 0, 1], [26, -1, 3, -4, -1], [-20, -1, 4, 6, 1], [-17, 0, 0, 0, 0], [9, -4, 6, 0, 13], [-13, 2, 13, 28, 5], [55, 14, 6, -36, -5], [15, -15, 39, -16, -2], [94, -16, 22, -16, 36], [40, -16, 42, 20, 34], [1, 13, -64, -48, -12], [-198, 35, 34, -52, 11], [189, -10, 24, 28, -3], [255, 46, 22, -44, -27], [-95, -20, -96, 100, 15], [-191, 27, -74, -4, -14], [265, 55, -21, 72, -6], [19, 30, -30, 64, -5], [114, 13, -39, 116, -67], [-103, -97, -52, 100, 118], [194, -3, 66, 70, 57], [493, 0, 144, 68, 63], [351, 107, -42, 46, -64], [-279, -63, 102, 176, -12], [-171, 18, -19, 44, -149], [-527, -132, -32, -52, 7], [259, 132, 102, -140, -63], [798, 127, -48, 80, 63], [378, -133, 81, 100, 91], [-83, -225, -12, 262, 58], [-856, -25, 13, 188, 37], [-824, 32, 204, -108, -42], [474, 170, -22, 68, 188], [1052, -130, -336, -200, -140], [371, 18, 135, 376, 45], [97, 134, 131, -280, 203], [-222, -318, -78, 60, 250], [1508, -130, -318, -328, -118], [812, 32, 354, -68, -214], [1826, -274, -56, -232, 132], [234, -278, 82, 308, -82], [1348, -230, -534, 276, 76], [-813, -209, -185, -400, 108], [1886, 73, -305, 68, 121], [1964, 125, -272, -104, 127], [-2412, 104, -189, 228, 216], [-2523, -395, -94, -366, 168], [381, -264, 488, -108, -193], [1224, 130, -716, 484, 10], [824, -256, 602, 524, 130], [1600, -428, -788, 196, 28], [-917, 521, -336, 362, -30], [1690, -23, 348, -1080, 145], [-1659, -8, 804, 1148, 175], [4220, 680, -544, -564, -336], [2360, 178, 280, -596, 472], [951, 168, 748, -568, 337], [18, -146, -737, 100, -656], [-1459, 386, -140, -1172, 241], [-1077, -829, 30, 524, 60], [-2562, 59, 175, 788, 59], [-986, -266, 1302, -52, 126], [1482, 366, 516, 716, -642], [-229, 60, -942, -844, -717], [-891, 118, -640, 216, 389], [274, 388, 831, -1220, -382], [-1396, 536, -64, -552, 254], [-742, -336, 460, -192, 492], [172, 228, -138, -2284, 380], [6001, 96, -51, -624, -231], [5341, 991, -616, -1766, -638], [2318, -843, 221, 268, 581], [-914, 659, -1324, 180, 63], [-765, -203, 350, 766, -630], [4024, -388, 696, -640, -406], [-484, 56, -1432, -1376, -422], [-3919, -472, -84, -1480, 355], [2824, 239, 203, 1788, -467], [1149, -813, -1098, -526, 802], [-3188, -1029, -495, -564, 121], [-4745, -903, 804, -1038, 310], [-5592, 1621, 891, -476, -381], [2379, 447, 226, -1224, 548], [3160, -818, -818, 872, 1104], [4079, 1865, -1408, -158, -634], [4210, 868, -1208, -752, -904], [3644, 1069, -930, -796, -1309], [-989, -703, -668, -460, -826], [1419, -721, 519, 688, 284], [2657, -632, 1697, -1992, 641], [-7253, 1776, 574, -356, -569], [-4864, -1329, -645, 2260, 941], [5005, -618, 1053, -1112, 911], [1172, 456, 896, 784, -338], [376, -2060, 1152, -504, 1002], [-3445, -1407, -194, 588, -42], [148, 336, -794, -1356, 1170], [-606, -1346, 657, -1688, 452], [-844, 1315, -1016, -642, -531], [-3361, -809, -660, 2316, -892], [-11977, 404, 1232, 1160, 309], [6774, 885, 627, -2996, 709], [-757, 267, 280, -794, -772], [-5641, 615, 1844, 1176, -624], [-8722, 1508, -1808, 1328, -2100], [4508, 1262, 1352, 324, -326], [1734, -556, 1354, -972, -60], [9581, 990, -461, 1676, -565], [683, 926, -3152, -1428, -709], [6567, 1732, -1654, -1572, -1259], [7166, -687, -1073, -100, -1759], [3254, 1308, -210, 1472, 290], [2158, -1922, 1450, -224, 1046], [-1733, 376, 1465, 220, 187], [-2748, -677, 1238, 3900, 621], [-16262, 1622, 782, 1164, -482], [1675, -666, -2020, 3168, -363], [1224, 980, -3564, 68, -1134], [2925, -1764, -878, 1636, 1067], [-8784, -4202, 2308, 2036, 1076], [-5124, -944, 2089, -1760, 244], [-6790, 2467, -1229, -164, -413], [14597, 2535, -2090, 2458, 246], [-8205, 286, -1986, 2308, 1639], [-4121, 841, -1285, -848, 2206], [2720, 705, 2874, -904, 463], [-9936, -178, 1900, -840, 2040], [16187, 820, 10, -3872, 15], [-7697, -1672, 1179, 2484, -341], [2847, 2603, 195, 544, -1900], [-7350, -1323, -608, -4310, -243], [3685, -2115, 2018, 1506, -1804], [12928, -815, 1538, -90, 899], [-9141, 945, -452, 1662, 634], [-2878, 1678, 525, -3284, 1160], [-3556, -1666, 5808, 1336, 1716], [-11476, 686, 1972, 2188, 360], [-14108, -159, 109, 4068, 1039], [-27189, 162, 184, -832, 31], [17315, 426, -535, -2580, -1107], [-18003, 1040, -4513, 1228, -1651], [10124, -808, -3504, -1532, -742], [6265, 1275, 29, 1200, 694], [-6296, 884, -5638, -528, -1966], [301, 1130, -2702, 680, 777], [20173, 2684, 290, -392, 113], [-4117, -4113, 1682, 4, -132], [6544, 832, 2204, -4848, 126], [-3892, -5184, 974, 4532, -1026], [12041, -717, -982, -736, 694], [-3147, 514, -1833, 3132, -425], [20588, -820, -997, 1268, 1172], [-18838, 2373, 5457, 3196, 101], [5882, 3140, -4312, -3304, -3346], [-27400, 2392, -5514, -292, -1190], [-7576, -2012, -2220, -760, -2338], [-6973, 1438, -4290, -1460, -1273], [-6816, -1254, -3851, 3516, -1470], [15459, -3677, -1248, -738, 1820], [419, 2621, -4024, 4792, -1686], [11815, 510, -7670, 1360, -759], [21084, -236, -1720, 2552, -1590], [915, -1660, -4017, 4112, 191], [-13371, -981, -1105, -4376, -422], [1618, 5074, -18, 972, -670], [5422, 2050, -9436, -3220, -3162], [19712, 2364, -1618, -7680, -894], [16819, 420, -4052, 2716, -957], [10571, -1821, 638, -82, 348], [-3681, -7049, -971, -168, 2176], [-23883, -3009, 3032, -874, -734], [14992, 1516, -290, 3452, -1288], [-23188, -2448, 4504, 232, 610], [-23592, 821, -2107, -2916, -3833], [16789, 4180, -2042, -9616, -2425], [-14390, -4423, 124, 192, 1705], [-5341, -2243, -778, -1490, 4058], [-10698, -3869, 2142, 2060, -233], [15848, 17, 1545, -7876, 2163], [-12176, -4560, -2776, 3872, 3990], [16084, -608, -80, -320, 2438], [26331, -1971, 36, -5132, 1254], [-27055, -3253, -158, 5390, 1690], [4308, 4268, 96, 416, 1398], [-14299, 6347, -2094, -600, -1790], [-4020, 322, 3650, -2200, 2488], [-5016, -1271, 2019, 7612, 783], [-2316, 642, 3904, -2236, -2288], [-10582, 2190, 1131, -5208, 380], [16485, 44, 3174, 4148, 4877], [-41617, 1629, -246, 1822, 166], [-10612, 3774, 133, 1348, 1938], [5930, 6590, -734, 2644, -1742], [-11220, 5246, -12470, -232, -2924], [6946, -3062, 2180, -4, 4970], [7651, 4158, 2678, -11560, 379], [16172, 4851, -366, -888, -1175], [-2740, -2412, 8202, -284, -74], [-7441, -3489, -739, -6840, -3776], [-28472, 130, 1040, 1552, -468], [-7778, 1995, 8390, -10742, -2765], [26620, 1016, -6104, 4488, 2456], [26487, -3755, -4956, 1110, -270], [11540, 96, 452, -4280, -4], [-28021, 1737, 5192, -2680, 1002], [-25612, -5316, -1372, -960, 3510], [28287, 4626, -5560, -11596, -4743], [13209, -4880, -6860, 7748, 2571], [33507, -5727, -3910, -2106, -250], [-8475, -1210, -2499, -5556, 203], [-19739, 1225, -2088, 6876, 1048], [-15431, -2159, -3295, 10712, -1464], [5966, -9172, -2566, 8492, -2052], [-4436, -1101, 5342, -5180, -2947], [22445, 9452, -1940, -7628, 943], [49173, 672, 2361, -524, -4311], [-7408, -1085, -160, -11650, 713], [11758, -7176, -1848, -6804, 3252], [-13967, 7689, -6701, 3624, -2256], [-24386, 6056, -9508, -3216, 612], [26939, -1676, -4697, 2568, 2327], [-49761, 3473, 854, -4248, -2450], [-12587, -6489, -5246, 1882, -4082], [-32813, -4810, 52, 16752, 139], [-10973, -7029, 8605, 7968, 2304], [7082, 3097, -7364, 1052, 469], [-14304, 7937, -1381, -5628, 2579], [-2501, -2622, -724, 5092, -3321], [-18088, 821, 425, -6468, 1807], [1874, 7670, 30, 1740, -2936], [14474, 4271, -4962, 10182, 1375], [-2413, 3545, 110, 4460, 6278], [11631, -4667, 4924, 7176, 3062], [7666, -2864, 4906, 13820, 2852], [18072, -12704, 424, -1072, 6542], [-16080, 3917, 3701, 6732, -297], [-11846, -8384, -5002, 17808, -4398], [19302, 5982, 6347, -9280, -152], [-33922, -3934, -6396, 9280, -3040], [1833, 5941, -3022, 1232, 2896], [-4017, 5705, 1722, -1326, -6514], [-1229, 7128, -8968, -4980, 2205], [17085, 7129, -9349, -6872, -6372], [-17811, -5446, 10555, 11508, 6327], [9686, -5879, 11827, 420, 6609], [10634, 3272, 8882, -4812, 3154], [7288, -2435, 2632, -10464, -4621], [2771, -8518, 2388, 5620, 1895], [27010, -626, 7508, -2724, 862], [32552, 9869, -7208, -10052, -4185], [11192, 7184, -10214, -11132, -2078], [-12806, -4595, 8824, 7794, 4149], [26433, 188, 3920, -11116, 241], [42339, 354, 102, 8092, -3429], [-12579, 610, 7717, 8596, 7163], [-27874, -4690, -4862, -7796, -8270], [40355, -1723, -1844, -5270, 726], [12283, 1080, -12897, 2320, -1077], [-16799, 7389, -2602, 13736, -5860], [21754, 14406, -3598, -7016, -778], [26642, -1018, 8616, 916, -666], [-75611, -1184, -3124, -3372, -1289], [25732, -3368, 4536, 4200, 568], [-27054, -1976, -940, 17712, -2108], [-1845, 7356, -5808, 12972, -5179], [28010, 7382, -3861, -2612, 3032], [8172, -1622, -10296, -4912, -4440], [-28091, -3410, -7290, 15676, 2161], [29375, -4317, -9774, -5804, 952], [-1664, 11608, 3148, 14016, -5302], [47882, -6820, 4738, 3692, -6214], [-60062, -3288, -4120, -13632, -4228], [39982, -7343, 400, 9832, -5235], [-15395, 2195, 14688, -8960, 4170], [-2923, -10729, 8018, 630, 4146], [-40930, -2947, 2822, -13766, -2327], [-53127, 1012, 13482, -11916, 1785], [29955, 1951, -9598, -9892, -8004], [49529, 6723, 5515, 7664, -2266], [-37083, 8084, 10997, -1356, 1717], [20976, -7236, -4248, 1608, -2778], [24149, 9890, -2299, -15404, -8157], [21458, 5304, 2824, -804, 894], [-20369, 4252, 3154, 15532, -1363], [-24674, -3968, 6274, -1832, 7772], [27290, 2296, 4138, 748, 3878], [25584, -9537, 4546, 3766, -667], [42469, 14658, -6432, -5904, -7159], [15370, 2390, 8809, 3576, 1748], [1489, 8817, -4328, 9522, -4024], [-13438, 3007, -13381, -12148, 4151], [35366, -3892, -5724, 200, -7976], [-45247, -2084, 2296, 6452, 3855], [4154, 812, -11748, -4236, -438], [25668, 13171, -3252, 1686, -1491], [-66236, -2987, 199, 4020, -1661], [-11091, -16139, 6496, 7564, 9628], [38087, -7957, -12900, -11706, 3568], [-24164, 10065, -644, 11794, -277], [-6585, 2065, -7403, 5336, -8186], [-36162, 1436, 2905, -9308, 3358], [-36002, -8109, 11733, 620, 4679], [-15534, -11240, 9188, -3816, 180], [-45015, 5191, 14826, 7020, 1862], [64851, 5604, -7906, 968, -6387], [16832, 12946, 5484, 2692, -1894], [-30179, -3170, -9288, 284, 101], [-65027, -1686, -8407, 12132, 5423], [-940, -992, -6166, -19564, -9942], [36862, 11246, 4212, -5940, 6906], [-17613, -16523, -4088, 18160, -242], [29796, 7919, 2850, 4924, -6807], [53127, -4672, 5096, 1332, -5819], [62895, -3416, 7650, 5856, 2223], [50534, -2193, 1579, 12964, 2359], [6010, -1600, 19488, -22488, 2676], [-28265, 6676, 8004, 3128, 1709], [-46146, -2897, 18251, 4124, -565], [-22141, -4362, -2292, 29328, -3589], [-50448, -6988, 1620, -19540, 1098], [27829, 10205, -16154, -12488, -1948], [25947, 11158, -10308, -20248, -7109], [-79739, 15476, 1072, 1400, -11901], [-79024, -5425, 1533, -16564, -243], [2534, -3254, -17693, -4036, -1824], [-61213, 3754, 3047, 2000, 4529], [25144, 3834, 8600, -14324, -4320], [-18240, 3758, 19080, -10476, 7416], [-41544, 13396, -950, -13600, 2058], [61068, -14027, -441, 6684, 7335], [-102043, 12995, 3674, 2896, -7086], [-101768, -4687, 6131, -16092, 1019], [5477, -8812, -11069, 16700, 5729], [22154, 18116, -13576, 3644, -1316], [28540, -2804, 7246, 12304, 11442], [-27514, 214, 11642, 9816, 118], [77371, -6199, 22548, -4152, 9102], [-64773, 20274, 15716, -6276, -4697], [66974, 2620, -4644, 13240, 8276], [56495, -6768, -9728, 21060, -2055], [56360, -5946, 6204, 9216, 8938], [88973, -1169, 10940, 1290, 1914], [-29592, -3205, 22267, 13292, 12177], [-11392, -4238, 136, 13028, -10468], [-25113, 5685, 3694, -20512, -974], [73035, -12611, 7991, -3424, 13630], [-10600, 9988, 4698, -19560, -1638], [-2808, 23782, -11470, 7108, -7486], [23806, 3440, -9292, -2088, -12784], [-147624, -1216, 3768, -9196, -3730], [-41977, -800, -14461, -23680, -8561], [106279, 10233, 706, 1330, 2526], [35547, -4057, -12684, 20414, -4256], [22630, 16452, 6806, -17900, -13706], [-52252, -7447, -18311, 13500, 7023], [1730, 70, -16978, -14892, 2890], [24468, -1791, -5356, -19776, -6877], [-28004, 1500, -6090, 11176, 7686], [-46122, 5606, 9316, -17780, 9442], [40609, -6571, 12002, -10884, 13500], [38346, 3583, -3989, 19916, -5713], [22179, 3727, -1224, 30872, -8452], [58884, -1252, 1772, -10832, 6682], [33864, -25074, 9032, 5572, 1740], [3658, 8399, 9462, 2624, 4651], [-21126, 11606, -26326, -2768, -1054], [4027, 2424, -12690, -6636, 7839], [-9238, -1139, 3115, 10564, -4839], [-12933, -3814, 4273, -5892, 941], [72179, 5047, 2922, -19246, -7764], [85378, -9294, 22356, -18600, 5992], [105936, 12582, -13466, -13220, -3844], [129428, -1457, 6825, -16588, -1623], [8615, 11397, 14729, -40912, -86], [15677, 11185, 2524, -28950, -11228], [11431, 11936, -5076, -22528, 249], [109214, 5804, -15608, 672, -9188], [-68965, 3768, -21106, 31544, -11455], [44536, -792, 5004, -1928, -2054], [49681, -6150, -9713, 19452, 11755], [-92829, 1060, -4368, 10788, -23], [-12006, 3403, -24521, 30724, -5213], [-97957, -11706, 8809, 10300, 1705], [114540, -7512, -7538, -864, 3612], [-15033, -1259, -1152, 15062, -3398], [67378, 16452, -1831, -1892, 2218], [-116983, -9107, 5810, 14012, -1028], [1584, 13294, 3762, 18664, 5944], [5298, -2114, 8912, -15300, -9714], [39685, 3450, -5556, -27600, 5579], [76389, 12901, 9978, -28984, -5176], [85058, 4294, 17734, 31420, -5808], [98238, -2242, 12594, 13508, 3862], [135102, -14626, -684, 4228, 12332], [82882, 26132, -8900, -26264, -14996], [-28310, -20399, -10037, 6844, 17741], [-48825, 3639, -25666, -7134, -4112], [-9970, 5728, -16204, -25952, -12616], [-45447, -7945, 15360, 33750, 11750], [136766, -12223, 11994, 11088, 2597], [-67535, 3214, -14260, -5488, 137], [-21044, -4100, 9796, -39140, 6278], [-4436, 3685, 11819, 8628, -13241], [-26494, 13525, -28932, -6590, -9643], [20709, -6479, -20118, -7686, -1232], [-18719, -4007, 26076, -8128, 2048], [-4486, -801, -18523, -1412, -5153], [48113, -6358, -14144, 38376, -1379], [-74846, 1677, 10336, 21650, -6411], [-140417, -1439, -17682, 16076, -10646], [-11332, 12247, 11677, 1844, 11785], [-41186, 12232, -14252, 11056, -12432], [107253, 23128, -18174, -17248, -3221], [8464, -7101, -25715, -5372, -5155], [20773, -5262, -497, 17676, -585], [-48601, 6376, -33344, -20012, -1959], [46194, 2713, 19310, -18636, -14483], [-40182, -3772, -7776, 1500, 11932], [-15742, -414, -9084, 5668, 20434], [-48975, -8066, -8089, -17032, 9915], [38517, -23430, 34970, 2740, 2359], [145989, -7442, -7240, 3992, 2293], [22661, -5990, -11224, -22092, -13119], [-14373, -628, -10643, -3440, -8757], [-119828, 9368, -13934, 32052, -15554], [29049, 4426, 26348, 20308, 4067], [-62368, 16495, 20681, -6284, -11783]], 'char_orbit_index': 1, 'field_poly': [-126, 69, 38, -20, -2, 1], 'hecke_orbit_code': 36028797086073257, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 6, 6, 6], 'hecke_ring_inverse_denominators': [1, 2, 1, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [1, 1, 0, 0, 0], [9, 0, 1, -1, 0], [5, 11, 6, 4, 2], [115, 1, 20, -19, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [-1, 2, 0, 0, 0], [42, -13, -17, 1, 1], [96, -13, -23, 1, 1], [-300, -1, 97, 1, -5]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'id': 34495, 'label': '425.4.a.i', 'level': 425, 'maxp': 2999, 'weight': 4}