# Stored data for newform 315.2.j.b, downloaded from the LMFDB on 25 April 2024. {"label": "315.2.j.b", "space_label": "315.2.j", "level": 315, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504218136215867, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1476230656935352716, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]]], "qexp_display": "q+(2-2\\zeta_{6})q^{4}-\\zeta_{6}q^{5}+(2+\\zeta_{6})q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "j", "char_is_real": false, "Nk2": 1260, "analytic_conductor": 2.5152876636703323, "hecke_ring_index": 1, "level_radical": 105, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "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": "0.019", "prec": 17}, 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0, -116, -6, 0, -47, 0, 0, 0, 24, 0, -14, 0, 0, 0, -12, 0, 10, 24, 0, 0, 0, 0, 58, 0, 0, -12, -30, 0, -72, 48, 0, 0, 48, 0, 11, 0, 0, 0, 48, 0, -6, 12, 0, 0, 24, 0, 6, 0, 0, 4, 10, 0, -110, 0, 0, 0, -24, 0, 25, 0, 0, -8, -12, 0, 0, -22, 0, 0, 18, 0, 6, 0, 0, 20, -6, 0, 43, 0, 0, 0, -32, 0, 31, 0, 0, 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, 7, 3, 1, 3, 0]], "char_orbit_index": 10, "prim_orbit_index": 3, "minimal_twist": "105.2.i.a", "char_is_minimal": true, "conrey_index": 46, "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, 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