# Stored data for newform 700.2.e.b, downloaded from the LMFDB on 16 April 2024. {"label": "700.2.e.b", "space_label": "700.2.e", "level": 700, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503874538832572, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 1194730978216370204, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [4, 0, 1]]], "qexp_display": "q+2iq^{3}+iq^{7}-q^{9}+3q^{11}+4iq^{13}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "e", "char_is_real": true, "Nk2": 2800, "analytic_conductor": 5.589528141489627, "hecke_ring_index": 1, "level_radical": 70, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 4, "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": "0.518", "prec": 17}, 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0, 0, 0, 0, 0, 0, 0, 72, 0, -14, 0, 0, 0, 0, 0, 0, 0, 66, 0, -14, 0, 0, 0, 0, 0, 0, 0, -40, 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, 5, 2, 1, 2, 0]], "char_orbit_index": 5, "prim_orbit_index": 2, "minimal_twist": "700.2.a.c", "char_is_minimal": false, "conrey_index": 449, "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, 2], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [-1, 0], [0, 0], [3, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [-2, 0], [0, 0], [0, 3], [0, 0], [0, 0], 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