Query:
/api/mf_hecke_nf/?_offset=0
{'an': [[1, 0, 0], [1, 1, -1], [0, -1, 2], [8, -1, -2], [5, -3, 2], [-24, 3, 4], [-13, 4, 0], [12, -1, -8], [19, -3, -6], [-31, 10, -5], [5, 3, -2], [-42, -15, 26], [22, 5, -6], [11, -17, 21], [50, -18, 8], [14, 13, -22], [1, 22, 4], [55, 16, -43], [-19, 0, 0], [34, -22, 20], [-8, 33, -34], [41, 0, -5], [-42, 11, 14], [-174, -25, 58], [-6, -49, 30], [106, 11, -30], [-126, -13, 14], [-176, 17, 18], [144, -25, -30], [-130, 76, -62], [-32, -56, 12], [194, -13, 10], [-50, 8, 12], [97, -17, 55], [-153, 71, -50], [386, 20, -104], [-122, 32, 44], [-19, -19, 19], [-142, -3, 58], [-30, -4, 22], [314, 6, 8], [496, -75, -28], [-163, 29, -110], [46, 12, -40], [77, -51, 50], [-102, -39, 106], [39, -33, -18], [-510, 29, 90], [-14, -88, 32], [-570, 73, -2], [44, 113, -58], [266, 25, -126], [266, 29, -10], [-330, -99, 142], [-69, 19, -10], [-324, -39, 96], [0, 19, -38], [264, 139, -284], [128, -53, -66], [484, -124, 32], [285, 23, 110], [-476, 36, -44], [-463, 31, 54], [-86, 113, -14], [-84, 4, 8], [-110, -46, 102], [-94, 29, 46], [-508, -7, 2], [286, 111, -162], [723, -274, 145], [270, -28, 64], [1002, 134, -314], [265, -176, 8], [-326, -110, 318], [758, -209, -34], [-152, 19, 38], [23, -31, 50], [-682, -81, 310], [56, 206, 8], [-524, 172, -72], [-179, 156, -120], [278, 316, -278], [-232, -130, 60], [362, 279, -458], [-423, 153, -126], [1001, -302, -109], [-610, -299, 458], [150, -6, -102], [-40, 168, -220], [-679, 178, -29], [-182, -29, 118], [-954, -45, 230], [376, -236, 0], [3, 54, -159], [-95, 57, -38], [246, -249, 374], [-852, -90, 196], [-830, 106, -66], [113, 21, -110], [-66, -253, 470]], 'ap': [[1, 1, -1], [0, -1, 2], [5, -3, 2], [-13, 4, 0], [5, 3, -2], [22, 5, -6], [1, 22, 4], [-19, 0, 0], [-42, 11, 14], [144, -25, -30], [-32, -56, 12], [-122, 32, 44], [314, 6, 8], [-163, 29, -110], [39, -33, -18], [266, 29, -10], [128, -53, -66], [285, 23, 110], [-94, 29, 46], [270, -28, 64], [265, -176, 8], [56, 206, 8], [-232, -130, 60], [-40, 168, -220], [-852, -90, 196], [62, -292, 256], [174, -208, 24], [248, 381, -190], [642, -57, 26], [-806, 176, 108], [190, -272, -100], [-597, 443, -186], [129, -526, 244], [-255, -91, -190], [1467, 99, 366], [830, 712, -512], [-754, 340, 232], [1612, 432, -56], [1334, -794, -264], [790, 416, 104], [214, -254, 792], [426, 488, -744], [-1257, -156, -360], [52, 570, -816], [-1898, 174, -564], [1631, -276, -280], [-620, -1205, 606], [-262, 284, 1140], [-2922, -175, 490], [-1537, 861, -542], [1433, -361, -258], [723, -1064, -208], [-818, -1406, 1552], [-1237, 645, -1694], [-3936, -348, -208], [-893, 75, -850], [4400, -398, 1008], [-3714, 155, 118], [403, 1395, -1002], [-1734, 1914, 212], [2517, -1133, -138], [5058, 179, -706], [2808, -744, 1308], [-2515, -678, 1412], [1356, -281, -26], [3424, 213, -1318], [-1202, -65, 130], [1800, 484, -1880], [-9461, -831, 506], [-2845, 2341, -998], [-384, 463, -314], [3175, 1266, -324], [1320, -1692, 1160], [-8622, -9, -346], [-2668, 2023, 1710], [-1660, -218, 2048], [453, 1107, -1578], [-4497, 1811, -2250], [5032, -180, 2452], [2248, -1124, -28], [2316, -1416, 3080], [710, -1787, -346], [-3668, -706, -780], [494, -1696, -156], [-3042, 782, -1624], [8219, 181, -846], [3908, 94, -92], [2951, 1310, 428], [1575, 1067, 1366], [12371, -1329, 1086], [2059, -2471, 1418], [-7108, 248, -1520], [3554, 3920, -1256], [-4540, -736, 936], [4767, 1331, 470], [1778, -473, -882], [148, -2042, -2748], [6436, 3100, 156], [8432, 1129, -2686], [10525, -2605, -970], [-5516, -232, 1600], [59, -925, 1718], [3166, 366, 1864], [1272, -3320, 4928], [-2036, -3096, 2032], [-2949, 5480, -3704], [-201, -2453, 4294], [3846, 4732, -4384], [14232, 2068, -2092], [-7282, -5414, 2068], [8740, -5118, 740], [-3921, 653, 3298], [2779, 1153, 2922], [-23448, -270, -244], [-7375, -5919, 4106], [6868, -4066, 3044], [2021, -1373, 3014], [1647, 7116, -3048], [3487, -4745, 5238], [2716, 1437, 354], [-7986, 1663, 4718], [1762, -2114, -84], [2196, -3299, -1658], [7548, 3392, -3032], [4319, 1225, 1442], [15106, 5534, -3660], [-12566, -2772, -1304], [-23317, 2508, 128], [-8475, -6390, 1676], [-13514, -122, 404], [15161, 1913, -4390], [596, 1740, 340], [-9736, 6480, -808], [-387, -4221, 3086], [-4955, -574, 4916], [-3653, 3046, -884], [4948, -2891, 3034], [6606, 865, -4622], [-9334, 265, -8706], [-13285, -3422, 3596], [-7698, 7719, -3106], [14487, 2031, -1842], [16735, -218, 1892], [20338, -4271, 126], [-17946, 3471, -6058], [-4386, -322, -668], [-14774, -2320, -152], [-4162, 1298, -6388], [-6575, -6085, 7430], [-14658, 8460, -3700], [20284, -3695, 6978], [-15753, -3079, -3574], [7969, -1093, -3666], [-350, -4836, 2968], [8482, -313, -9662], [526, 5606, 3884], [20006, 7901, -4118], [-13076, -4997, 1118], [-3839, -440, 2520], [-18836, 51, 6478], [7188, 4460, 344], [-35448, 1102, 1840], [208, 2592, 1008], [-5028, -8944, 3808], [10548, -7116, 3684], [7096, -4618, 1228], [13038, -2130, -9488], [28815, 2543, -690]], 'char_orbit_index': 1, 'field_poly': [-8, -16, -1, 1], 'hecke_orbit_code': 4503599694479379, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [10, 1, 2]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-10, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'id': 2994, 'label': '19.4.a.b', 'level': 19, 'maxp': 997, 'weight': 4}