# Stored data for newform 300.3.g.f, downloaded from the LMFDB on 24 April 2024. {"label": "300.3.g.f", "space_label": "300.3.g", "level": 300, "weight": 3, "hecke_orbit": 6, "hecke_orbit_code": 22518410504044844, "dim": 2, "is_polredabs": true, "nf_label": "2.0.35.1", "trace_hash": 798677184447650418, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [8, 1]], [11, [315, 0, 1]]], "qexp_display": "q-\\beta q^{3}-8q^{7}+(-9+\\beta )q^{9}+(-3+\\cdots)q^{11}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "g", "char_is_real": true, "Nk2": 2700, "analytic_conductor": 8.174407930808908, "hecke_ring_index": 1, "level_radical": 30, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": 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0, -1804, 0, 0, 0, 0, 0, -1154, 0, -2520, 0, 0, 0, 0, 0, 26, 0, 0, 0, 452, 0, -374, 0, 0, 0, -976, 0, 2520, 0, 0, 0, 626, 0, 0, 0, 0, 0, -1696, 0, 1785, 0, 0, 0, 0, 0, 420, 0, 0, 0, -1260, 0, -496, 0, 0, 0, -748, 0, 840, 0, 0, 0, -630, 0, 0, 0, 0, 0, 2572, 0, -127, 0, 0, 0, 0, 0, 442, 0, 0, 0, 330, 0, -1680, 0, 0, 0, 3194, 0, -58, 0, 0, 0, 3780, 0, 0, 0, 0, 0, 404, 0, -1680, 0, 0, 0, 0, 0, 630, 0, 0, 0, 2310, 0, -105, 0, 0, 0, 3152, 0, 1155, 0, 0, 0, 2032, 0, 0, 0, 0, 0, -1890, 0, -2992, 0, 0, 0, 0, 0, -1680, 0, 0, 0, -1352, 0, -257, 0, 0, 0, -2008, 0, 416, 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]], "char_orbit_index": 7, "prim_orbit_index": 2, "minimal_twist": "300.3.g.f", "char_is_minimal": true, "conrey_index": 101, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [-8, 0], [0, 0], [-9, 1], [0, 0], [-3, 6], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [-3, 6], [0, 0], [11, 0], [0, 0], [0, 8], [0, 0], [6, -12], [0, 0], [0, 0], [0, 0], [9, 8], [0, 0], [-6, 12], [0, 0], [-46, 0], [0, 0], [54, -3], [0, 0], [0, 0], [0, 0], [16, 0], [0, 0], [0, 2], [0, 0], [-9, 18], [0, 0], [-62, 0], [0, 0], [0, 0], [0, 0], [-6, 12], [0, 0], [15, 0], [0, 0], [54, -3], [0, 0], [-6, 12], [0, 0], [0, 0], [0, 0], [0, -11], [0, 0], [12, -24], [0, 0], [-16, 0], [0, 0], [72, -8], [0, 0], [0, 0], [0, 0], [-113, 0], [0, 0], [-108, 6], [0, 0], [18, -36], [0, 0], [-101, 0], [0, 0], [0, 0], [0, 0], [24, -48], [0, 0], [68, 0], [0, 0], [72, -17], [0, 0], [-3, 6], [0, 0], [0, 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