# Stored data for newform 425.2.p.a, downloaded from the LMFDB on 13 January 2025. {"Nk2": 1700, "analytic_conductor": 3.3936420859044163, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 425, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 16, "char_orbit_label": "p", "char_order": 10, "char_parity": 1, "char_values": [425, 10, [52, 326], [2, 5]], "cm_discs": [], "conrey_index": 16, "dim": 168, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 1030825705897, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 2, 1, 2, 0], [1, 1, 25, 4, 1, 5, 0], [1, 1, 425, 16, 1, 10, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "425.2.p.a", "level": 425, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [5, 17], "level_radical": 85, "minimal_twist": "425.2.p.a", "prim_orbit_index": 16, "related_objects": [], "relative_dim": 42, "rm_discs": [], "sato_tate_group": "1.2.3.c10", "self_twist_discs": [], "self_twist_type": 0, "space_label": "425.2.p", "trace_display": [-8, 0, 0, 0], "traces": [168, -8, 0, -44, 0, 0, 0, -4, 28, 0, 0, 0, -18, 0, -10, -28, 2, -60, -8, 0, 32, 0, 0, 0, 6, 52, 0, 0, 0, -54, 0, 44, -24, 0, 26, 34, 0, -18, 0, 0, 0, 80, -8, 0, 0, 0, -40, 0, -84, -82, -36, -30, -42, 0, -18, 0, 0, 0, -18, 28, 0, 0, 0, -16, 0, -140, -62, 144, 44, 4, 0, -6, 0, 0, 0, 72, 48, 0, 0, 0, -28, 0, -14, 24, 62, 82, 48, 0, 90, 0, 0, 0, -224, 26, 0, 0, 0, -36, 0, -208, -140, 128, -6, -90, 0, 124, 0, 0, 0, 16, 6, 0, 0, 0, -66, 0, -170, 116, 56, 106, -2, 0, -78, 0, 0, 0, 42, -46, 0, 0, 0, -300, 0, 22, 78, 112, 12, -70, 0, 128, 0, 0, 0, -24, 6, 0, 0, 0, -100, 0, 112, 92, 84, 176, -30, 0, -112, 0, 0, 0, -36, -164, 0, 0, 0, -6, 0, 132, 96, -170, 8, -2, 0, -76, 0, 0, 0, 88, 22, 0, 0, 0, -242, 0, -74, 42, -22, 212, 106, 0, -4, 0, 0, 0, 220, -206, 0, 0, 0, -196, 0, -140, 140, 152, -86, 104, 0, 408, 0, 0, 0, 68, 90, 0, 0, 0, 80, 0, -58, -342, -6, -146, -120, 0, 492, 0, 0, 0, 14, -114, 0, 0, 0, -134, 0, -180, 238, 148, -42, 422, 0, 38, 0, 0, 0, 80, -50, 0, 0, 0, -228, 0, 12, 22, 258, -252, 24, 0, 232, 0, 0, 0, -186, -384, 0, 0, 0, 48, 0, 166, -56, 272, 358, 56, 0, -148, 0, 0, 0, -268, -238, 0, 0, 0, -12, 0, -148, -44, 58, 126, -258, 0, -64, 0, 0, 0, -182, 14, 0, 0, 0, -326, 0, -122, 228, -80, 136, 192, 0, -308, 0, 0, 0, 0, 78, 0, 0, 0, -84, 0, -82, 414, -54, 172, 78, 0, 124, 0, 0, 0, 26, 728, 0, 0, 0, 128, 0, 268, -154, -114, 66, -294, 0, -322, 0, 0, 0, 510, 196, 0, 0, 0, 66, 0, -114, 226, -260, 342, 84, 0, -258, 0, 0, 0, -20, 102, 0, 0, 0, 40, 0, -236, -258, -124, 90, 396, 0, -768, 0, 0, 0, 244, 60, 0, 0, 0, 188, 0, -26, -488, 82, 246, 144, 0, -300, 0, 0, 0, 132, -106, 0, 0, 0, 2, 0, -164, -516, -454, -194, -100, 0, -172, 0, 0, 0, 28, 4, 0, 0, 0, -10, 0, -78, -280, -182, 180, 74, 0, -330, 0, 0, 0, -4, -314, 0, 0, 0, -118, 0, 414, 372, -110, -504, -330, 0, 362, 0, 0, 0, -60, 196, 0, 0, 0, 220, 0, 804, -730, -150, -136, -364, 0, 110, 0, 0, 0, 292, -1104, 0, 0, 0, 286, 0, 920, -220, -40, 48, -260, 0, -360, 0, 0, 0, 88, -160, 0, 0, 0, 50, 0, 86, 150, 164, 226, -242, 0, -66, 0, 0, 0, -236, -354, 0, 0, 0, -102, 0, 64, 4, 396, 338, -158, 0, 518, 0, 0, 0, -352, 44, 0, 0, 0, 342, 0, -28, -708, -16, 140, -154, 0, 458, 0, 0, 0, 160, 164, 0, 0, 0, -258, 0, -394, 504, 218, 274, 200, 0, 54, 0, 0, 0, -142, -96, 0, 0, 0, -244, 0, -300, 880, 70, -228, 386, 0, 136, 0, 0, 0, 140, 882, 0, 0, 0, -8, 0, 1192, 2, 178, 132, -134, 0, -296, 0, 0, 0, 196, -342, 0, 0, 0, -140, 0, -56, 98, -310, -528, 282, 0, -480, 0, 0, 0, 408, 76, 0, 0, 0, -800, 0, -182, 290, 128, -306, 358, 0, -806, 0, 0, 0, 542, -364, 0, 0, 0, -246, 0, -196, 438, -14, -570, 140, 0, 508, 0, 0, 0, 300, -98, 0, 0, 0, 312, 0, -246, -640, 38, -438, -428, 0, 1030, 0, 0, 0, 0, -152, 0, 0, 0, 346, 0, 4, 52, -124, -390, 464, 0, -56, 0, 0, 0, -196, -420, 0, 0, 0, -216, 0, -574, 388, 832, -268, 1140, 0, 854, 0, 0, 0, -342, -198, 0, 0, 0, 752, 0, 326, -156, 326, 230, 724, 0, -116, 0, 0, 0, -446, -26, 0, 0, 0, 392, 0, -176, 126, -56, -408, -620, 0, 332, 0, 0, 0, 16, -114, 0, 0, 0, 210, 0, 40, 1178, -94, 116, 490, 0, -860, 0, 0, 0, -74, -270, 0, 0, 0, 382, 0, 30, 458, -434, 32, 684, 0, 522, 0, 0, 0, 86, 564, 0, 0, 0, 214, 0, 36, 296, -284, -236, 164, 0, -500, 0, 0, 0, 480, 100, 0, 0, 0, 810, 0, -186, -142, -1128, 124, 214, 0, -774, 0, 0, 0, -512, 20, 0, 0, 0, 424, 0, 114, -124, -216, -224, 520, 0, -802, 0, 0, 0, -880, 494, 0, 0, 0, 618, 0, -80, -186, 474, -10, 124, 0, -1162, 0, 0, 0, 76, -236, 0, 0, 0, 60, 0, -82, -1964, -456, -840, -252, 0, -488, 0, 0, 0, 220, -214, 0, 0, 0, 68, 0, -226, -492, -424, -76, 168, 0, -504, 0, 0, 0, -258, -136, 0, 0, 0, -384, 0, 74, 14, -44, -876, -666, 0, 608, 0, 0, 0, 114, 440, 0, 0, 0, 450, 0, 1184, -726, -248, 62, -100, 0, 528, 0, 0, 0, 542, -72, 0, 0, 0, 188, 0, 308, -1168, -256, -104, -750, 0, -286, 0, 0, 0, -528, 64, 0, 0, 0, -150, 0, -278, 80, 396, 116, -614, 0, -34, 0, 0, 0, -420, -292, 0, 0, 0, 294, 0, 604, -164, 268, 42, -214, 0, 184, 0, 0, 0, -428, 380, 0, 0, 0, 542, 0, 128, -612, 242, 286, -898, 0, 530, 0, 0, 0, 584, 30, 0, 0, 0, -378, 0, -240, 1288, 140, 476, 336, 0, -202, 0, 0, 0, -116, -6, 0, 0, 0, -1512, 0, 162, 786, 210, 36, 48, 0, 1396, 0, 0, 0, 406, 336, 0, 0, 0, -844, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}