# Stored data for newform 525.2.w.a, downloaded from the LMFDB on 19 April 2024.
{"label": "525.2.w.a", "space_label": "525.2.w", "level": 525, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1511862043149, "dim": 304, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 10, "char_parity": 1, "char_degree": 4, "char_conductor": 525, "char_orbit_label": "w", "char_is_real": false, "Nk2": 2100, "analytic_conductor": 4.19214610611722, "level_radical": 105, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [525, 10, [176, 127, 451], [5, 1, 5]], "inner_twist_count": 8, "level_primes": [3, 5, 7], "conrey_indexes": [104, 209, 314, 419], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 76, "sato_tate_group": "1.2.3.c10", "trace_display": [0, 0, 0, 0], "traces": [304, 0, 0, -84, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -36, -60, 0, 0, 0, 0, -18, -40, 0, 0, -8, 0, 0, 60, 0, 14, 0, 0, 0, 0, 0, 28, -20, 0, -2, 0, 0, -35, 0, 0, 0, -24, 0, 0, -20, 0, -52, 0, 0, 0, 0, 0, 0, -80, 0, 4, 0, 0, 55, -76, 0, 0, -20, 0, 0, 6, 0, 30, 0, 0, 0, 0, 0, -40, -68, 0, -10, 0, 0, 80, -88, 0, 0, -20, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, -36, 12, 0, 10, 0, 0, 93, 28, 0, 0, -24, 0, 0, 20, 0, -118, 0, 0, 0, 0, 0, 96, -52, 0, 90, 0, 0, 40, -40, 0, 0, 76, 0, 0, -130, 0, -116, 0, 0, 0, 0, 0, 2, 60, 0, 122, 0, 0, 135, -200, 0, 0, -152, 0, 0, 152, 0, 138, 0, 0, 0, 0, 0, -390, 160, 0, 318, 0, 0, 0, -64, 0, 0, 480, 0, 0, 24, 0, -70, 0, 0, 0, 0, 0, -210, 228, 0, -228, 0, 0, 96, 300, 0, 0, 0, 0, 0, 170, 0, -460, 0, 0, 0, 0, 0, -64, -128, 0, 0, 0, 0, 83, 36, 0, 0, 28, 0, 0, -30, 0, -12, 0, 0, 0, 0, 0, 88, 464, 0, -240, 0, 0, -196, 0, 0, 0, 32, 0, 0, -280, 0, 210, 0, 0, 0, 0, 0, -20, -140, 0, -248, 0, 0, -130, 60, 0, 0, -196, 0, 0, -148, 0, -88, 0, 0, 0, 0, 0, 130, 0, 0, -70, 0, 0, -70, -88, 0, 0, 0, 0, 0, -326, 0, 0, 0, 0, 0, 0, 0, 200, 160, 0, -72, 0, 0, -172, -344, 0, 0, -240, 0, 0, 68, 0, 490, 0, 0, 0, 0, 0, -36, 408, 0, 690, 0, 0, -238, 192, 0, 0, -244, 0, 0, -220, 0, 672, 0, 0, 0, 0, 0, -126, -196, 0, -30, 0, 0, 265, 500, 0, 0, -608, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 116, -220, 0, 348, 0, 0, 0, 760, 0, 0, 40, 0, 0, -392, 0, 106, 0, 0, 0, 0, 0, 120, 560, 0, -72, 0, 0, -250, -264, 0, 0, 0, 0, 0, -258, 0, 220, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, -32, -140, 0, 0, 200, 0, 0, 272, 0, 280, 0, 0, 0, 0, 0, -154, -188, 0, 50, 0, 0, 43, -64, 0, 0, 752, 0, 0, 240, 0, 58, 0, 0, 0, 0, 0, 194, -120, 0, -70, 0, 0, 212, -800, 0, 0, 384, 0, 0, 510, 0, 312, 0, 0, 0, 0, 0, 68, 0, 0, -38, 0, 0, -350, -220, 0, 0, 212, 0, 0, 274, 0, 204, 0, 0, 0, 0, 0, 320, -1240, 0, -762, 0, 0, 80, -104, 0, 0, -600, 0, 0, 624, 0, -870, 0, 0, 0, 0, 0, 860, -528, 0, 36, 0, 0, -338, -120, 0, 0, -100, 0, 0, -276, 0, -320, 0, 0, 0, 0, 0, 164, 44, 0, -1020, 0, 0, -312, 48, 0, 0, 40, 0, 0, 0, 0, -290, 0, 0, 0, 0, 0, -876, -108, 0, 0, 0, 0, -476, 60, 0, 0, 112, 0, 0, 330, 0, -40, 0, 0, 0, 0, 0, -62, -560, 0, -122, 0, 0, 250, 0, 0, 0, -284, 0, 0, 232, 0, -1268, 0, 0, 0, 0, 0, 0, -280, 0, -98, 0, 0, 585, -292, 0, 0, 440, 0, 0, 164, 0, 220, 0, 0, 0, 0, 0, -180, 512, 0, 110, 0, 0, 249, -568, 0, 0, 300, 0, 0, -650, 0, 0, 0, 0, 0, 0, 0, -276, -296, 0, -200, 0, 0, 749, -156, 0, 0, 368, 0, 0, 590, 0, -180, 0, 0, 0, 0, 0, 396, -688, 0, 850, 0, 0, 70, -380, 0, 0, 836, 0, 0, -250, 0, -1122, 0, 0, 0, 0, 0, 304, 780, 0, 250, 0, 0, 965, -280, 0, 0, -824, 0, 0, 348, 0, 372, 0, 0, 0, 0, 0, -720, 640, 0, 1214, 0, 0, 0, 92, 0, 0, 820, 0, 0, 924, 0, 110, 0, 0, 0, 0, 0, -620, 564, 0, -296, 0, 0, 580, 472, 0, 0, 0, 0, 0, 264, 0, -1130, 0, 0, 0, 0, 0, 108, 48, 0, 0, 0, 0, 270, 280, 0, 0, 52, 0, 0, 260, 0, -198, 0, 0, 0, 0, 0, 98, 568, 0, -550, 0, 0, -548, 0, 0, 0, 200, 0, 0, -170, 0, 188, 0, 0, 0, 0, 0, 222, -200, 0, -408, 0, 0, -435, 420, 0, 0, -44, 0, 0, -760, 0, 196, 0, 0, 0, 0, 0, 1320, 0, 0, -220, 0, 0, -550, 184, 0, 0, -500, 0, 0, -958, 0, 0, 0, 0, 0, 0, 0, 480, 396, 0, -422, 0, 0, -367, 252, 0, 0, -760, 0, 0, -376, 0, 2130, 0, 0, 0, 0, 0, 68, 520, 0, 750, 0, 0, -1203, -44, 0, 0, -404, 0, 0, -730, 0, 824, 0, 0, 0, 0, 0, -60, -884, 0, -190, 0, 0, 534, 1240, 0, 0, -1396, 0, 0, 0, 0, 262, 0, 0, 0, 0, 0, 596, -100, 0, 366, 0, 0, 0, 760, 0, 0, 828, 0, 0, -398, 0, 184, 0, 0, 0, 0, 0, -140, 1540, 0, 38, 0, 0, -325, -16, 0, 0, 0, 0, 0, -678, 0, 1410, 0, 0, 0, 0, 0, 0, 268, 0, 136, 0, 0, -460, 120, 0, 0, 440, 0, 0, 540, 0, 350, 0, 0, 0, 0, 0, 282, -408, 0, -220, 0, 0, -192, 276, 0, 0, 320, 0, 0, 230, 0, -186, 0, 0, 0, 0, 0, 1004, 36, 0, -530, 0, 0, 471, -740, 0, 0, -212, 0, 0, 150, 0, 478, 0, 0, 0, 0, 0, -142, 0, 0, -600, 0, 0, -680, -540, 0, 0, 348, 0, 0, 590, 0, 616, 0, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 21, 3, 1, 2, 0], [1, 1, 25, 5, 1, 10, 0], [1, 1, 75, 8, -1, 10, 0], [1, 1, 175, 13, -1, 10, 0], [1, 1, 525, 23, 1, 10, 0]], "char_orbit_index": 23, "prim_orbit_index": 23, "minimal_twist": "525.2.w.a", "char_is_minimal": true, "conrey_index": 104, "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}