# Stored data for newform 201.2.m.a, downloaded from the LMFDB on 16 April 2024.
{"label": "201.2.m.a", "space_label": "201.2.m", "level": 201, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 824667275465, "dim": 100, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [17161, -1550385, 51440243, -829744573, 8193227093, -51714768316, 227591484568, -448677198556, -442916281994, 7729811196050, -16434607409052, -56850585080537, 465934954713465, -1617138430351388, 3555370674945444, -2069870134529756, -10170249816707068, 24006103540862780, -15639515753288383, 10907631872054255, -58869098772626145, 65345123956446008, 103240543680372669, -321111038785727350, 385622721050685189, -367967813803412511, 373492103536298517, -305622434616513877, 229685009365009489, 180643874161009932, -1207282833666545550, 1568914377284420213, -137500939089977882, -1044378246882276600, 451040195065028116, -310483366673858408, 1032987850807536807, -388335625025428286, -396360019148135350, -310075382000532052, 581570480567379419, 83812770639658208, -96584031413944657, -163985234572699608, -39932948620914032, 56001599657282352, 76339277274550608, -8865299794347719, -919119257764353, -19073475498102622, -16926782278543452, 4370947230428777, 8969352248288884, 2199502945756789, 1534272120179531, -2377612950153189, -632818127977581, -81234535884781, 349393230019924, 52053557778479, 172971751760113, -73402713433071, 7433499123720, -13087012449021, 3242520774403, -2512210296818, 4365213668144, -1479813132868, -5377267193, -125320967681, -49256392579, 29995150205, 17663553281, 6227314931, -8845993179, 3184823139, -1035249977, -145967820, 367953961, -75749600, -26739228, 2270855, 9765433, -6100032, 1125369, 1610521, -1027262, 86350, 160331, -80788, 4280, 11127, -4958, -37, 840, -212, -43, 35, -6, -2, 1]]], "char_order": 33, "char_parity": 1, "char_degree": 20, "char_conductor": 67, "char_orbit_label": "m", "char_is_real": false, "Nk2": 804, "analytic_conductor": 1.6049930806277357, "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, 33, [68, 136], [33, 1]], "inner_twist_count": 2, "level_primes": [3, 67], "conrey_indexes": [4, 10, 16, 19, 49, 55, 73, 88, 100, 103, 106, 121, 127, 151, 157, 160, 169, 181, 190, 199], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c33", "trace_display": [2, 10, -2, 1], "traces": [100, 2, 10, 6, -2, 9, 1, -45, -10, -25, 9, 5, -3, 22, -9, 0, -46, 2, -14, -16, -1, -17, 12, 12, -44, -7, 10, -90, 43, -30, -10, 20, -42, 20, 3, -5, 50, 16, 3, 55, -48, 0, -45, -147, -2, 47, 44, 0, -64, -54, 24, -34, 68, -2, -17, 111, 3, 88, -2, -6, 21, 86, 23, 19, 6, 94, 20, -202, 21, -20, 1, 32, 10, 67, 44, -90, -62, 51, -29, 199, -10, -36, 43, -75, 93, -83, 12, 54, 21, -25, 58, -192, -1, 14, -109, -9, -35, -15, -2, -311, -35, 24, -148, 22, -25, -47, 108, -6, -16, -24, -61, -45, 41, -38, 29, 12, -14, 178, -130, 22, 46, -23, 4, 60, 211, 0, 1, 58, 56, 73, 120, -128, 84, 394, 2, 338, -38, -14, -19, 92, 11, 105, -46, -11, 141, 7, -90, 66, 142, 54, -266, 268, -13, -141, 74, -54, 19, 166, -24, -73, 42, 2, 83, -110, -16, 20, -266, 10, -34, -118, 8, -82, -253, -44, 26, 201, 2, -279, -58, 50, 21, -88, -131, -40, 172, -86, 74, -294, -1, 74, -60, 91, -93, -315, -39, 166, 16, -17, -158, -158, 68, 230, 55, -106, -371, -283, -43, 229, -170, -68, -92, 206, -1, 162, -241, -10, 86, -13, 12, 134, -256, 87, 47, 31, -11, -383, -140, 2, -74, -118, -92, -185, 101, 26, -76, -109, -103, -90, -6, 197, 171, -388, 10, 150, 37, 124, -142, -9, 144, -68, 61, 42, 170, 304, 105, -196, 13, 72, 76, 67, 76, -151, 212, -98, 167, 111, 78, 170, -12, -8, -174, -41, 206, 29, 168, 192, -45, 268, 12, 47, 134, 118, 154, 321, -12, 70, 257, -13, 101, 149, -9, 175, -100, 158, -48, -217, 2, -103, 44, 14, -183, 236, 35, -290, 150, -24, 64, 421, 49, 14, 18, -187, -16, -43, 3, 74, -60, -107, 211, -68, -9, -319, -302, 6, 144, 329, 16, -135, 216, -64, 124, 241, -27, -132, 365, 34, 199, -406, -151, 272, -94, 38, 224, -273, -7, 53, 108, -78, -15, -247, -19, 119, 243, -156, -169, 280, -112, -71, 79, -154, 15, 77, 53, 79, -88, -142, 150, -174, -15, 239, -67, -5, -120, -309, 42, -268, -53, -22, -84, -135, -12, -106, -136, -47, 35, -111, 54, 321, -181, -183, 68, -137, -21, 103, -505, -26, -222, -28, 4, -484, -248, 46, -52, 111, -2, 36, 59, 14, 50, -218, -138, 3, -172, 36, 79, -425, -14, 420, -96, 128, 30, -496, -33, -56, -88, 5, -206, -245, 156, -96, 53, 22, -264, 75, 68, 182, -123, -139, 73, -46, -108, -200, 105, 0, -170, -268, -10, -69, 147, 78, -282, -223, 68, 70, 172, 293, -380, 424, 46, 239, 32, -57, -49, -125, 14, -15, -237, 164, 69, 38, 91, -174, -394, 186, 182, 244, 24, -413, -3, 106, 89, 460, -108, -285, 91, -2, 252, 19, -6, 194, 163, 132, 147, 26, 104, 206, -1, 134, -10, 87, 167, 292, 236, -131, -228, 382, -43, -419, 389, -91, 298, 288, -63, 556, -103, 27, 421, -42, -55, 359, 122, -88, 145, 59, -81, -383, 308, -201, -175, 421, 42, 140, 544, -183, 174, 459, 80, -138, 205, 16, 294, 74, 56, 199, -77, -77, 258, -261, 21, 257, 172, -103, -62, 254, 26, -90, 99, -35, -2, 276, -129, 374, -5, -333, 175, -57, 1, 299, -656, -217, 41, 224, -61, -79, 119, -58, 162, 156, -116, -316, 5, -158, 13, -187, -159, -829, 114, 10, -104, -724, -313, -6, 152, -60, -166, -1136, -51, -140, -30, -205, -545, -118, 20, -144, -17, -120, -383, -56, 187, -304, -157, -26, -115, -112, -3, 213, -298, -113, -49, -144, 10, -559, -658, 134, -18, 352, 115, -232, -210, 90, -16, 174, -150, 2, 312, 157, -123, 44, 67, 55, 91, 366, 403, -4, -210, 137, 61, 21, -72, -270, 178, -392, 340, 277, -164, 171, -12, -662, 228, -79, -108, 364, 212, 421, -474, -21, 288, -216, 140, 246, 198, 288, -282, 89, 0, -115, -49, 383, -324, 288, 140, 42, 291, 152, 31, 100, -91, 265, 193, 404, 213, 573, 70, 54, -119, 174, 120, 140, 64, 56, -32, -59, 97, 167, 230, 684, 308, -12, 30, 408, 59, -333, 57, -42, -211, 831, 61, 747, -596, -43, -26, 348, -72, -285, -201, 14, 2, 19, -10, -531, 44, 158, -181, 413, -301, 230, -105, -58, 71, 48, -298, 320, -103, -222, 199, -531, -122, 200, 1, 145, -167, -291, 49, -136, 52, -9, 270, 393, 138, -186, -105, -7, -318, -83, 93, 363, 106, 64, 432, -610, 75, 99, -224, 71, 63, -339, -164, 219, 138, -155, -160, -59, -10, -15, -338, -190, 13, -241, 118, 95, -193, -12, -141, 265, -288, 193, -711, -210, 163, 240, 21, -185, -188, -192, -274, -414, -175, -407, 81, -80, -23, -413, -156, 23, -630, -234, 223, -892, 91, -102, 34, 136, 163, -840, 85, 251, -186, 6, 52, -41, 56, -432, 294, 84, 269, -180, -12, -27, -275, -14, 291, -102, 229, -42, -123, -30, -229, 47, -99, 231, 59, 75, -500, -316, 56, -213, 224, -169, -520, 352, 62, 210, 116, 13, -51, -51, -167, -171, -555, -226, -106, -330, -57, -624, -169, -32, -65, -324, 100, -793, 71, 139, 140, 695, 147, -35, 124, -14, 125, 146, -2, 649, 611, 114, 140, 56, -33, 353, 128, 52, -111, 36, 139, 613, 405, 292, -10, 685, 20, 729, 380, 290, -595, 506, -18, 41, 100, 24, 45, 205, -152, -112, -184, 283, 218, 280, -49, 98, 136, -14, -16, 210, -117, -426, 608, -77, 392, 70, 60, 114, 123, -166, 135, -501, 85, -30, 90, -250, -39, 261, -303, -199, 58, -179, -158, -721, -134, 496, -27, -262, -235, 402, -123, 606, 459, -275, 75, 328, -226, 594, -342, -6, 580, 522, 54, -101, -896, -153, 243, 231, -60, -489, 131, -41, 310, 214, 4, 238, 106, 75, 74, -629, -344, 528, 202, 89, -87, -723, 71, -134], "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, 7, 1, 33, 0]], "char_orbit_index": 13, "prim_orbit_index": 7, "minimal_twist": "201.2.m.a", "char_is_minimal": true, "conrey_index": 4, "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}