# Stored data for newform 510.2.a.h, downloaded from the LMFDB on 23 April 2024.
{"label": "510.2.a.h", "space_label": "510.2.a", "level": 510, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425148414, "dim": 2, "is_polredabs": true, "nf_label": "2.2.24.1", "trace_hash": 1224927779739695510, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-24, 0, 1]], [11, [0, 1]], [13, [-20, -4, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+\\beta q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2040, "fricke_eigenval": -1, "atkin_lehner_string": "++-+", "analytic_conductor": 4.0723705030853, "hecke_ring_index": 2, "level_radical": 510, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.025", "prec": 17}, "analytic_rank_proved": true, "char_values": [510, 1, [341, 307, 241], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 5, 17], "conrey_indexes": [1], "field_disc": 24, "field_disc_factorization": [[2, 3], [3, 1]], "field_poly": [-6, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "1.912", "prec": 17}, {"__RealLiteral__": 0, "data": "0.063", "prec": 17}, {"__RealLiteral__": 0, "data": "9.282", "prec": 17}, {"__RealLiteral__": 0, "data": "0.393", "prec": 17}, {"__RealLiteral__": 0, "data": "64.381", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, -1], [17, 1]], "trace_display": [-2, -2, 2, 0], "traces": [0, 2, -2, -2, 2, 2, 2, 0, -2, 2, -2, 0, -2, 4, 0, -2, 2, -2, -2, 8, 2, 0, 0, -8, 2, 2, -4, -2, 0, 12, 2, 8, -2, 0, 2, 0, 2, 12, -8, -4, -2, 4, 0, 8, 0, 2, 8, 0, -2, 34, -2, 2, 4, 4, 2, 0, 0, -8, -12, 0, -2, 4, -8, 0, 2, 4, 0, -8, -2, 8, 0, -8, -2, -12, -12, -2, 8, 0, 4, 8, 2, 2, -4, 8, 0, -2, -8, -12, 0, 4, -2, -48, -8, -8, 0, 8, 2, 4, -34, 0, 2, -28, -2, 8, -4, 0, -4, -8, -2, 4, 0, -12, 0, -4, 8, -8, 12, 4, 0, 0, 2, -22, -4, -4, 8, 2, 0, -24, -2, -8, -4, 0, 0, 0, 8, -2, 2, 28, -8, 8, 0, 0, 8, 0, 2, 12, 12, -34, 12, -28, 2, 0, -8, -2, 0, 8, -4, -12, -8, -4, -2, 0, -2, -24, 4, 0, -8, 24, 0, 30, 2, 8, 8, 12, 12, 0, 0, 0, -4, 0, 2, -28, 48, -4, 8, 12, 8, 0, 0, 0, -8, 0, -2, -12, -4, -4, 34, 12, 0, -8, -2, 8, 28, 0, 2, 4, -8, -8, 4, 0, 0, -24, 4, 8, 8, 8, 2, 0, -4, 12, 0, -4, 12, -8, 0, 2, 4, -24, -8, 12, 8, 0, -12, 28, -4, 0, 0, -8, 0, 0, -2, -12, 22, -2, 4, 34, 4, 16, -8, -8, -2, 0, 0, 0, 24, 2, 2, -4, 8, 0, 4, 12, 0, 16, 0, 4, 0, -4, -8, -20, 2, 16, -2, 48, -28, 0, 8, -4, -8, 8, 0, 36, 0, 8, -8, -8, 0, 48, -2, 2, -12, -4, -12, -12, 34, 0, -12, 0, 28, -16, -2, -48, 0, 28, 8, 4, 2, -8, 0, -8, -8, -24, 4, 4, 12, 0, 8, 28, 4, 0, 2, 8, 0, -8, 2, 4, 24, -4, -4, -96, 0, 8, 8, 12, -24, -8, 0, 36, -30, 4, -2, 0, -8, 0, -8, 8, -12, 24, -12, 28, 0, -4, 0, -52, 0, -8, 4, 0, 0, 16, -2, -6, 28, 22, -48, -12, 4, -64, -8, 4, -12, 96, -8, 20, 0, -2, 0, 24, 0, -40, 8, 24, 0, 16, 2, 0, 12, 8, 4, -28, 4, 8, -34, 0, -12, 8, 0, -36, 8, 0, 2, 36, -8, 16, -28, 2, 0, 0, -2, 4, -4, -28, 8, -48, 8, 8, -4, -8, 0, -16, 0, 28, 24, 0, -4, -2, -8, -96, -8, 0, -8, -56, -2, -12, 0, -12, 4, -32, -12, -8, 0, 34, 4, 56, -12, 4, 8, 28, 0, 4, -2, 0, -4, 0, 24, -48, 8, 52, -12, 2, -8, -28, 0, -24, 12, -8, -28, 24, 4, -48, 0, 12, 0, 0, 8, 8, 0, 4, 0, -56, 2, 24, 12, 0, -22, 4, 2, -32, -4, 24, -34, -32, -4, -12, -16, 0, 8, 48, 8, -40, 2, -24, 0, 8, 0, -28, 0, -30, -24, -60, -2, 48, -2, -8, 4, 8, -8, 0, 0, -12, -4, -12, -12, 8, 0, 0, -16, -8, 0, -14, -4, 0, 0, -40, 4, -8, 8, 0, 20, 0, -2, 4, -16, 28, 2, 4, -48, 40, 28, 4, 0, 48, -8, 96, 4, -12, 8, 20, -8, 64, 0, 0, -36, 24, 0, -4, -8, 0, 8, 68, 8, 40, 0, 0, -48, -8, 2, 4, -2, 12, 12, -96, 4, 0, 12, 4, 12, -24, -34, 32, 0, -12, 12, -36, 0, 0, -28, 8, 16, -16, 2, 52, 48, -8, 0, -22, -28, -16, -8, 0, -4, 96, -2, 20, 8, -4, 0, -36, 8, 40, 8, 8, 24, 96, -4, 2, -4, 0, -12, -12, 0, -80, -8, 24, -28, -24, -4, 68, 0, -8, -2, -12, -8, 40, 0, -8, 8, -64, -2, 0, -4, 0, -24, 60, 4, 0, 4, -12, 96, 32, 0, -20, -8, 4, -8, 0, -12, -48, 24, 8, 8, 0, 0, -76, -36, -2, 30, 12, -4, 144, 2, 24, 0, 24, 8, 28, 0, -12, 8, -88, -8, 24, 12, 0, -24, 8, 12, -4, -28, -28, 0, 20, 4, 48, 0, 0, 52, 48, 0, -44, 8, 8, -4, -32, 0, 0, 0, 0, -16, 24, 2, 0, 6, 12, -28, 12, -22, 40, 48, 2, 12, -8, -4, -44, 64, -34, 8, 0, -4, 40, 12, -16, -96, 40, 8, -28, -20, 8, 0, -96, 2, 24, 0, 0, -24, 0, 0, 20, 40, 0, -8, 36, -24, -96, 0, -2, -16, 48, -2, 52, 0, 4, -12, -12, -8, 8, -4, 0, 28, 16, -4, 0, -8, -12, 34, -12, 0, -72, 12, -16, -8, -96, 0, 104, 36, -4, -8, 52, 0, 0, -2, 4, -36, 0, 8, 0, -16, 20, 28, 36, -2, -8, 0, -16, 0, -24, 2, 32, -4, -48, 4, 12, 28, 32, -8, 0, 48, -8, -8, -52, -8, 4, 4, -34, 8, 24, 0, -8, 16, -24, 0, 14, -28, -36, -24, 30, 0, 0, 4, -8, 2, -48, 8, -36, 96, 8, 8, -20, 0, -8, 8, -48, 56, -32, 2, 12, 12, -2, 0, 0, 12, 32, -4, 4, 32, 0, 12, -4, 8, 12, 0, 20, -34, 24, -4, 0, -56, -24, 12, 0, -4, 0, -8, 0, -28, 0, 0, 16, -4, 48, 2, -4, 0, 48, 4, -28, 0, -8, -24, -28, 48, 56, -8, 0, -52, -4, 12, -96, -2, -16, 8, 8, 28, -64, 0, 12, 24, 8, -12, 4, 8, 136, 28, 24, -24, 0, -4, 20, 48, -4, 0, -52, -12, -16, 0, 0, 0, 24, -8, -72, -8, -28, 0, -4, -4, 0, 0, 0, 56, 0, -2, -30, -24, -8, -12, -12, 0, -24, 22, 8, -4, 48, -2, -96, 32, -4, 4, -20, -24, 0, 34, 4, 32, -40, 4, 12, 12, 96, 16, -32, 0, 8, -8, -8, -48, -8, -8, -4, 40, -12, -2], "weight_parity": 1, "has_non_self_twist": 0, "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]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "510.2.a.h", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [-1, 0], [-1, 0], [1, 0], [1, 0], [1, 0], [0, 1], [-1, 0], [1, 0], [-1, 0], [0, 0], [-1, 0], [2, -1], [0, -1], [-1, 0], [1, 0], [-1, 0], [-1, 0], [4, 0], [1, 0], [0, -1], [0, 0], [-4, 0], [1, 0], [1, 0], [-2, 1], [-1, 0], [0, 1], [6, 0], [1, 0], [4, 0], [-1, 0], [0, 0], [1, 0], [0, 1], [1, 0], [6, 0], [-4, 0], [-2, 1], [-1, 0], [2, 1], [0, 1], [4, -1], [0, 0], [1, 0], [4, 0], [0, -2], [-1, 0], [17, 0], [-1, 0], [1, 0], [2, -1], [2, 2], [1, 0], [0, 0], [0, -1], [-4, 0], [-6, 0], [0, -1], [-1, 0], [2, -2], [-4, 0], [0, 1], [1, 0], [2, -1], [0, 0], [-4, -1], [-1, 0], [4, 0], [0, -1], [-4, 1], [-1, 0], [-6, 1], [-6, 0], [-1, 0], [4, 0], [0, 0], [2, -1], [4, 2], [1, 0], [1, 0], [-2, -1], [4, -2], [0, -1], [-1, 0], [-4, 1], [-6, 0], [0, 0], [2, 2], [-1, 0], [-24, 2], [-4, 0], [-4, 0], [0, 2], [4, 0], [1, 0], [2, 3], [-17, 0], [0, 0], [1, 0]]}