# Stored data for newform 430.2.a.h, downloaded from the LMFDB on 18 April 2024.
{"label": "430.2.a.h", "space_label": "430.2.a", "level": 430, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425148334, "dim": 3, "is_polredabs": true, "nf_label": "3.3.316.1", "trace_hash": 932966531496847585, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-8, -6, 2, 1]], [7, [-8, 5, 6, 1]]], "qexp_display": "q-q^{2}+(-1+\\beta _{1}-\\beta _{2})q^{3}+q^{4}-q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1720, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 3.4335672869150566, "hecke_ring_index": 1, "level_radical": 430, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [430, 1, [87, 261], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5, 43], "conrey_indexes": [1], "field_disc": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [2, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.901", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "23.064", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "271.624", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [43, -1]], "trace_display": [-3, -2, -3, -6], "traces": [0, 3, -3, -2, 3, -3, 2, -6, -3, 7, 3, 6, -2, -4, 6, 2, 3, 8, -7, 2, -3, 14, -6, 14, 2, 3, 4, -8, -6, 6, -2, 0, -3, 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54, 34, 104, 3], "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": "430.2.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, 0], [1, 0, 0], [-1, 0, 0], [-1, 1, -1], [1, 0, 0], [-1, 0, 0], [1, -1, 1], [-2, 0, -1], [-1, 0, 0], [3, -2, 0], [1, 0, 0], [1, 3, -1], [-1, 1, -1], [-2, 2, 1], [2, 0, 1], [1, -1, 1], [1, 0, 0], [3, -1, -1], [-3, 2, 0], [0, 2, -1], [-1, 0, 0], [5, -1, 1], [-1, -3, 1], [5, -1, -1], [1, -1, 1], [1, 0, 0], [2, -2, -1], [-4, 4, 0], [-2, 0, -1], [3, -3, 4], [-1, 1, -1], [1, -3, 0], [-1, 0, 0], [8, -4, 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