# Stored data for newform 690.2.a.h, downloaded from the LMFDB on 26 February 2021.
{"level_primes": [2, 3, 5, 23], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 2154838967221647805, "level_radical": 690, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/690/h"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 8, "analytic_conductor": 5.509677739468347, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "690.2.a.h", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "690.2.a.h", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.024", "prec": 17}, "traces": [0, 1, 1, -1, 1, -1, -1, 0, 1, 1, -1, 0, -1, 6, 0, 1, 1, 2, 1, 0, -1, 0, 0, -1, -1, 1, 6, -1, 0, 6, 1, 8, 1, 0, 2, 0, 1, 10, 0, -6, -1, -6, 0, -8, 0, -1, -1, 8, -1, -7, 1, -2, 6, -6, -1, 0, 0, 0, 6, -4, 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36, 12, -4, 20, 16, -10, 0, 6, 0, 0, 0, 6, 4, 0, 6, -14, 48, 1, -12, 0, 0, -6, -2, 16, 8, 0, 6, 0, 40, 0, 0, -38, -6, 18, 0, -2, -16, 1, 4, 6, -48, 0, 10, -40, -8, 6, -14, 8, 0, -22, 0, 8, 0, 6, 2, 0, 6, -8, 18, -18, 6, -4, 0, 0, 44, 8, 60, 0, 2, 0, -6, -6, 24, 8, 0, 0, 0, 1, 33, 60, 0, 26, -18, 0, -56, -11, 0, -18, -32, -1, 0, 16, -6, -6, 50, -12, 0, 7, -6, 36, -48, 6, -22, 12, 0, 0, 8, 0, 40, 8, 20, 0, 16, 8, 38, -20, -10, -1], "hecke_ring_index_factorization": [], "nf_label": "1.1.1.1", "field_poly": [0, 1], "atkin_lehner_string": "-+++", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, 1], [23, 1]], "char_values": [690, 1, [461, 277, 511], [1, 1, 1]], "Nk2": 2760, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "a", "weight": 2, "trace_display": [1, -1, -1, 0], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[7, [0, 1]], [11, [0, 1]], [17, [-2, 1]]], "space_label": "690.2.a", "level": 690, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 1, "hecke_orbit_code": 31525197425148594, "fricke_eigenval": -1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "1.033", "prec": 17}, {"__RealLiteral__": 0, "data": "0.062", "prec": 17}, {"__RealLiteral__": 0, "data": "2.076", "prec": 17}, {"__RealLiteral__": 0, "data": "0.175", "prec": 17}, {"__RealLiteral__": 0, "data": "5.235", "prec": 17}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0], [1], [1], [-1], [1], [-1], [-1], [0], [1], [1], [-1], [0], [-1], [6], [0], [1], [1], [2], [1], [0], [-1], [0], [0], [-1], [-1], [1], [6], [-1], [0], [6], [1], [8], [1], [0], [2], [0], [1], [10], [0], [-6], [-1], [-6], [0], [-8], [0], [-1], [-1], [8], [-1], [-7], [1], [-2], [6], [-6], [-1], [0], [0], [0], [6], [-4], [1], [-6], [8], [0], [1], [-6], [0], [8], [2], [1], [0], [-8], [1], [10], [10], [-1], [0], [0], [-6], [-8], [-1], [1], [-6], [-8], [0], [-2], [-8], [-6], [0], [-6], [-1], [0], [-1], [-8], [8], [0], [-1], [18], [-7], [0], [1]]}