# Stored data for newform 100.4.i.a, downloaded from the LMFDB on 23 April 2024.
{"label": "100.4.i.a", "space_label": "100.4.i", "level": 100, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 549822922852, "dim": 32, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 10, "char_parity": 1, "char_degree": 4, "char_conductor": 25, "char_orbit_label": "i", "char_is_real": false, "Nk2": 1600, "analytic_conductor": 5.900191000574061, "level_radical": 10, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [100, 10, [51, 77], [10, 7]], "inner_twist_count": 2, "level_primes": [2, 5], "conrey_indexes": [9, 29, 69, 89], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "3.2.3.c10", "trace_display": [0, 0, 6, 0], "traces": [32, 0, 0, 0, 6, 0, 0, 0, 122, 0, 20, 0, 0, 0, 68, 0, -160, 0, 2, 0, -108, 0, 290, 0, 654, 0, 600, 0, 62, 0, -378, 0, -1280, 0, -278, 0, 680, 0, 592, 0, -528, 0, 0, 0, -1044, 0, -1810, 0, -2796, 0, 1664, 0, -510, 0, -1350, 0, 0, 0, 144, 0, -1346, 0, 1660, 0, 1142, 0, 1890, 0, 956, 0, 786, 0, 3720, 0, -78, 0, 2160, 0, 896, 0, 348, 0, 570, 0, 224, 0, 3240, 0, -2512, 0, -2212, 0, 0, 0, 1536, 0, -2250, 0, -2540, 0, 5652, 0, -5970, 0, -8474, 0, 0, 0, -3326, 0, -6058, 0, -4410, 0, 6706, 0, 6580, 0, 6346, 0, 5128, 0, 8670, 0, 96, 0, -1720, 0, 9220, 0, 3370, 0, 540, 0, 8114, 0, 4630, 0, -3798, 0, -13426, 0, 0, 0, -1944, 0, -32800, 0, -10112, 0, 5280, 0, -19520, 0, -24384, 0, 0, 0, -6636, 0, -11236, 0, -1630, 0, 22230, 0, 11980, 0, 16242, 0, 3482, 0, 32130, 0, 4838, 0, 6030, 0, 11906, 0, 2050, 0, -16700, 0, 2162, 0, 21250, 0, -4054, 0, -9054, 0, 0, 0, -2984, 0, -32700, 0, -18964, 0, 38192, 0, -11290, 0, -33444, 0, 0, 0, 2300, 0, -12962, 0, -2130, 0, 35910, 0, 11790, 0, 20292, 0, 856, 0, 49110, 0, 26934, 0, 8980, 0, 24988, 0, 14170, 0, -21460, 0, -5156, 0, 27790, 0, -8318, 0, -26222, 0, 0, 0, -25088, 0, -69980, 0, -53784, 0, 30220, 0, -38420, 0, -67708, 0, 0, 0, -14382, 0, -38438, 0, -10690, 0, 42484, 0, 18300, 0, 21356, 0, 16480, 0, 108260, 0, 18340, 0, 6750, 0, 45642, 0, 6212, 0, -31820, 0, 20518, 0, 37630, 0, -1732, 0, -37788, 0, 0, 0, -23128, 0, -102250, 0, -41356, 0, 45700, 0, -55530, 0, -69748, 0, 0, 0, -13056, 0, -28876, 0, -10130, 0, 103102, 0, 42320, 0, 40430, 0, 2784, 0, 62700, 0, -10352, 0, 30600, 0, 26196, 0, 18286, 0, -34420, 0, 9712, 0, 30940, 0, -27126, 0, -44970, 0, 0, 0, -20932, 0, -77050, 0, -21240, 0, 37656, 0, -79550, 0, -64612, 0, 0, 0, -30132, 0, -34056, 0, -55200, 0, 42222, 0, 19530, 0, 49742, 0, 42016, 0, 101790, 0, 25998, 0, 8120, 0, 44874, 0, 30702, 0, 20750, 0, 54670, 0, 89230, 0, -19622, 0, -42192, 0, 0, 0, 20888, 0, -71530, 0, -25888, 0, 41100, 0, -3650, 0, -110836, 0, 0, 0, -5148, 0, -84972, 0, 19770, 0, 119636, 0, 103020, 0, 59912, 0, -1468, 0, 117100, 0, -7434, 0, -11130, 0, 39740, 0, 44272, 0, -43680, 0, -58682, 0, 13580, 0, -64254, 0, -48526, 0, 0, 0, -8656, 0, -135050, 0, -106688, 0, 43820, 0, -113190, 0, -139386, 0, 0, 0, -51038, 0, -9630, 0, -30310, 0, 37088, 0, -15770, 0, 33078, 0, 71008, 0, 81670, 0, 23654, 0, 15530, 0, 58992, 0, -28052, 0, -48200, 0, 61622, 0, 90030, 0, -30, 0, -47620, 0, 0, 0, -95050, 0, -86240, 0, -82248, 0, 79508, 0, -12620, 0, -30634, 0, 0, 0, 16732, 0, -97972, 0, 73930, 0, 111754, 0, 96980, 0, 49904, 0, -34742, 0, 65720, 0, 16654, 0, 93280, 0, -2034, 0, 60504, 0, -39400, 0, -37496, 0, 26580, 0, 15360, 0, 25908, 0, 0, 0, -9658, 0, -85720, 0, -53876, 0, 8412, 0, -95170, 0, -90174, 0, 0, 0, -57990, 0, 17090, 0, -90270, 0, -24296, 0, -58420, 0, -30210, 0, 6576, 0, 140800, 0, 79704, 0, -25520, 0, 47916, 0, -83946, 0, -53740, 0, 79602, 0, 60680, 0, 66992, 0, -90912, 0, 0, 0, 37168, 0, -32990, 0, 66400, 0, 75440, 0, 111080, 0, -48226, 0, 0, 0, 57222, 0, 3836, 0, 57700, 0, 107898, 0, 54850, 0, 53750, 0, -8692, 0, -13780, 0, 40034, 0, -10780, 0, -42174, 0, 67564, 0, -69600, 0, -83928, 0, -88530, 0, -79324, 0, 63024, 0, 0, 0, -15810, 0, -94870, 0, -24260, 0, -20868, 0, -91680, 0, 19560, 0, 0, 0, 89192, 0, 776, 0, -63070, 0, -80758, 0, -113550, 0, -2090, 0, 6550, 0, 45940, 0, -7264, 0, 37450, 0, 45348, 0, -42156, 0, 102010, 0, 91648, 0, 113170, 0, 45466, 0, -45494, 0, 0, 0, -13934, 0, 75170, 0, 27184, 0, 110500, 0, 42230, 0, 153442, 0, 0, 0, 6192, 0, 64776, 0, 6490, 0, 26330, 0, 57570, 0, -27078, 0, -50364, 0, -194150, 0, -86906, 0, -74000, 0, 6956, 0, -32620, 0, 2820, 0, -135704, 0, -240200, 0, -54460, 0, -22358, 0, 0, 0, 24634, 0, 120500, 0, -128444, 0, -280548, 0, -111500, 0, -20720, 0, 0, 0, -176040, 0, 634, 0, -35820, 0, -312046, 0, -54400, 0, -29486, 0, 77474, 0, -146620, 0, -33346, 0, -134760, 0, -43878, 0, 820, 0, 196970, 0, 143788, 0, 90260, 0, 94792, 0, 142186, 0, 0, 0, 156292, 0, 229690, 0, 311292, 0, 40428, 0, 320240, 0, 278242, 0, 0, 0, 78948, 0, 33888, 0, 176370, 0, 46770, 0, 28240, 0, -147292, 0, -181188, 0, -208760, 0, -192560, 0, 111150, 0, -95436, 0, 15956, 0, 189210, 0, -138832, 0, -361530, 0, 30234, 0, 76614, 0, 0, 0, 77816, 0, 119100, 0, 160024, 0, -47216, 0, -31470, 0, 125306, 0, 0, 0, -63618, 0, 162282, 0, -87320, 0, -322036, 0, -161830, 0, -91310, 0, 168698, 0, -155250, 0, 13252, 0, -129760, 0, -112600, 0, -75906, 0, 37740, 0, 58806, 0, -4470, 0, 34508, 0, 161460, 0, 0, 0, -28422, 0, 525590, 0, 109332, 0, -106988, 0, 282690, 0, 137900, 0, 0, 0, 223762, 0, 108894, 0, 181020, 0, -115024, 0, -26620, 0, -55922, 0, -142448, 0, -546780, 0, -15402, 0, -28770, 0, -160004, 0, 72144, 0, -88860, 0, -49360, 0, -264530, 0, -154422, 0, 109844, 0, 0, 0, -22022, 0, 91750, 0, -16532, 0, -446236, 0, 71110, 0, 242108, 0, 0, 0, 56662, 0, 149790, 0, -37200, 0, -241514, 0, -171400, 0, -181196, 0, -69288, 0, -95000, 0, 86924, 0, 82090, 0, -2180, 0, -273576, 0, 161510, 0, -45502, 0, 301970, 0, 271660, 0, 60502, 0, 0, 0, 188628, 0, 373170, 0, 381596, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 25, 5, 1, 10, 0]], "char_orbit_index": 9, "prim_orbit_index": 5, "minimal_twist": "100.4.i.a", "char_is_minimal": true, "conrey_index": 9, "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}