# Stored data for newform 201.3.h.a, downloaded from the LMFDB on 24 April 2024.
{"label": "201.3.h.a", "space_label": "201.3.h", "level": 201, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 481086669001, "dim": 22, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [13467, -267933, 1648048, 2563359, -4767813, -8159661, 16770480, 1887288, -8899770, -177696, 3104824, -19728, -662248, 6573, 103185, -447, -10608, 21, 793, 0, -35, 0, 1]]], "char_order": 6, "char_parity": -1, "char_degree": 2, "char_conductor": 67, "char_orbit_label": "h", "char_is_real": false, "Nk2": 1809, "analytic_conductor": 5.476853313641968, "level_radical": 201, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [201, 6, [68, 136], [6, 5]], "inner_twist_count": 2, "level_primes": [3, 67], "conrey_indexes": [97, 172], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 11, "sato_tate_group": "2.2.3.c6", "trace_display": [0, 0, 0, -15], "traces": [22, 0, 0, 26, 0, 0, -15, 0, -66, 6, 30, -78, -27, 6, -6, -58, -8, 0, 1, -12, -15, 14, -1, 0, -56, 71, 0, -75, 42, 18, 120, -105, 30, -24, 3, -78, 13, 108, 27, 82, -159, 0, 0, 189, 0, 372, -35, -174, -40, 285, -24, 0, 0, 0, -212, -113, 3, 0, 136, -12, 63, -150, 45, -284, -20, 0, 94, 154, -3, 0, -41, 0, -16, 441, 0, -390, -84, -213, -615, 267, 198, -302, -154, 75, 633, 221, -126, 410, 56, -18, 272, 636, 120, 0, 588, -105, -441, 780, -90, -8, -402, -24, -317, 316, -9, 47, -858, 234, 0, 0, 39, 0, -87, 108, -1101, -534, 81, 90, 0, 0, -67, -781, -159, 207, 0, -18, -163, 504, 72, -681, -742, -189, 0, 573, 18, -12, 0, 372, 0, -10, 105, 0, 212, 174, -858, -1674, -120, 1100, 32, -285, -240, 1281, 24, 249, 498, -12, 522, 154, -168, 695, 0, 0, -192, -1548, 636, -864, 438, 339, -24, -1075, -3, 372, -37, 492, 1431, 0, 0, 1491, 0, 36, -228, -2712, -63, 774, 294, 0, 0, -676, 45, -484, 1053, 0, 272, -501, -60, 82, -195, -42, -570, 0, 618, 880, -444, 0, 422, 0, 3, -501, 0, -510, 1124, -3600, 123, -504, 1290, 0, -204, -431, -48, 996, -108, 441, -32, 1586, 168, -746, -251, 0, 723, -914, -252, 3735, 144, -213, 0, -345, -615, 84, 1251, -267, 684, 543, 0, 0, -171, 0, 330, -1920, -462, -1172, 1035, 225, 0, 0, -633, -1442, 357, 663, 0, 2250, -126, 1188, -1646, -1230, -1250, -605, 0, 3134, 438, -54, 0, 684, 0, -280, -252, 0, -162, 30, -360, -3387, -51, 510, -988, 1450, -588, 1605, 2086, 315, 167, 1358, 441, -2130, 744, 780, 0, 2346, -90, 207, 2391, 24, 463, -1755, -402, -2227, -503, 72, -17, -3970, 951, 0, 0, 948, 0, 939, -9, -3450, -362, 141, -420, 0, 0, -2781, -1727, 234, 3015, 0, -306, -804, 954, 204, -528, 494, -39, 0, 1987, 192, 504, 0, -87, 0, -586, -324, 0, 2900, 1101, -6051, -2481, -1602, 1576, -4950, -81, -2013, 1812, -90, 1215, 1227, -90, 1769, -820, -246, 790, 0, -201, -968, -693, 2343, -573, 1876, 477, -2289, -307, -207, -450, 1131, 1356, 3066, 0, 0, 393, 0, 489, -880, -5055, -504, 1212, 4149, 0, 0, -668, -681, 590, 1611, 0, 1944, -406, -567, -924, 3528, -996, -3524, 0, 885, 64, -2415, 0, 492, 0, 12, 600, 0, -594, 3497, -4071, -1116, -1857, 4064, -78, 533, -2302, -30, 1667, 3723, 105, 68, 481, -2148, 618, -438, 0, -267, -4, 522, 4197, 999, -858, 1086, -165, -1674, -1696, 3852, 120, -1106, 111, 0, 0, -387, 0, 1518, -1040, -855, -836, -2889, -720, 0, 0, -1281, -1306, -1843, 72, 0, 256, 249, -2499, -270, -1494, 3008, -769, 0, 4278, 274, 1566, 0, 90, 0, -454, -54, 0, -1144, 2113, -2085, -2181, -4782, -66, -6058, 1049, 0, -870, 2301, 576, 224, 1378, 1548, -2002, 3028, 636, 0, 2805, -864, 984, 4707, -1314, -2804, -228, 339, -3419, 3909, 72, 937, -3634, 3225, 0, 0, -9, 0, -2388, 372, -4902, -752, -111, 1221, 0, 0, -869, -3174, 1431, 2430, 0, -2118, 206, 5937, -408, -1500, 1770, -1491, 0, 5298, -1320, 5817, 0, 36, 0, 1171, 684, 0, 4656, 2712, -771, -5895, -189, 4430, -3934, -774, -904, 4452, -294, 7326, -31, 450, 1806, -7248, 1152, 4488, 0, -2028, 43, 792, -135, 1284, 767, 1452, 1129, -1653, -1053, 5886, 2324, 852, 1665, 0, 0, -2736, 0, 1503, -692, -11022, 60, -4890, 2937, 0, 0, -522, -195, 1591, 2682, 0, -4498, 2061, -1710, -1338, 2322, 582, -1426, 0, -282, 176, -4209, 0, 1477, 0, 444, 5157, 0, -462, 2439, -5154, -1266, -8418, 2388, -1632, -1950, -4532, 9, -762, 2232, -501, -466, 235, -1104, 8886, -1734, 0, -2175, -248, 3372, 8253, -1410, -3600, -1701, -979, 123, 1927, 156, 504, -82, -5235, 0, 0, -7677, 0, 3276, -6620, -612, -1060, -2244, -1293, 0, 0, 48, -4064, -1706, 2988, 0, 5338, -108, -2610, -5162, -1323, -324, -4635, 0, 44, -2056, 4758, 0, 1583, 0, 847, 1356, 0, 4722, 436, 753, -5163, -450, 1170, -6828, 887, -723, 4611, 3260, 2742, -141, -2690, 252, -9140, 7094, 3735, 0, 3168, 144, 5946, -657, 639, -2536, -3468, 0, -4731, 3921, 1035, 2428, -13068, 1845, 0, 0, 252, 0, 405, 1251, -204, 2526, -801, -1650, 0, 0, -2021, -3505, 543, 7911, 0, -594, 4947, 870, -330, -30, 13386, 171, 0, 4022, 906, 441, 0, 330, 0, 901, 5760, 0, 286, 462, -6033, 627, -3516, 1746, -15662, -1035, -4760, 6873, -225, -246, -127, -612, 2059, -4088, 4008, 2548, 0, -1899, -1783, 2901, 4326, -5457, -934, -1071, -509, -715, -663, 3510, 4959, 2268, 5775, 0, 0, -8886, 0, 378, -3141, -9222, -1188, 1038, 10437, 0, 0, 5825, -1230, 2910, 225, 0, -4820, 708, -1815, -2948, 7755, -168, -3839, 0, -522, -2062, -3423, 0, 2934, 0, 54, 1632, 0, -138, 5061, 5070, -2052, -1209, 7852, -816, -1119, -2214, -840, 2846, 10125, -252, -10048, 55, -1908, 9010, 4173, 0, -9129, 397, 90, 1983, -2127, -360, -264, 1361, -3387, 253, 5175, 51, -1134, -6264, 0, 0, -19317, 0, 5166, -4511, 4350, 1619, -2658, -1764, 0, 0, -1605, -1993, -3373, 6258, 0, 586, 315, 591, -1888, -501, 13718, -5510, 0, 1459, -5366, 1323, 0, 4123, 0, 3285, 1203, 0, -1560, 1084, -2340, -3966, -5400, 318, -13094, 654, -2346, 1668, -279, 270, -319, -6120, -207, -4816, 6972, 2391, 0, 36, 24, 9054, -5799, -1389, -11471, -6888, -1755, 192, 10023, 1206, 6473, 162, 6681, 0, 0, -1509, 0, 1569, 72, -4251, 2237, -51, -1704, 0, 0, 2181, -5814, 951, 11538, 0, -4320, -1414, 10413, -270, -5358, 12388, -948, 0, 25, -66, 6099, 0, 939, 0, 347, 27, 0, 6974, 3450, 3600, 6132, -1086, 3448, -7940, -141, -6676, 9045, 420, 12804, -768, -9324, 725, -12094, 2574, 11223, 0, -8343, -754, 9210, 5181, -7845, 2022, -702, 933, 265, -3015, 8178, 3011, 912, 7722, 0, 0, -7872, 0, 2412, -518, -6825, -954, -3909, -2268, 0, 0, 6665, -528, 257, 7644, 0, -6506, 4373, -117, -1982], "weight_parity": -1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 67, 4, -1, 6, 0]], "char_orbit_index": 8, "prim_orbit_index": 4, "minimal_twist": "201.3.h.a", "char_is_minimal": true, "conrey_index": 97, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}