# Stored data for newform 930.2.i.i, downloaded from the LMFDB on 09 May 2024.
{"label": "930.2.i.i", "space_label": "930.2.i", "level": 930, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36029346808333218, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1111163704572958184, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [9, -3, 1]], [11, [9, -3, 1]], [13, [4, -2, 1]]], "qexp_display": "q+q^{2}+(1-\\zeta_{6})q^{3}+q^{4}+\\zeta_{6}q^{5}+(1+\\cdots)q^{6}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 31, "char_orbit_label": "i", "char_is_real": false, "Nk2": 3720, "analytic_conductor": 7.426087387979075, "hecke_ring_index": 1, "level_radical": 930, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [930, 3, [311, 187, 871], [3, 3, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 3, 5, 31], "conrey_indexes": [211, 811], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.214", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "14.345", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "137.393", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [2, 1, 1, 3], "traces": [0, 2, 2, 1, 2, 1, 1, 3, 2, -1, 1, 3, 1, 2, 3, 2, 2, 4, -1, 0, 1, -3, 3, -8, 1, -1, 2, -2, 3, -10, 2, 11, 2, 6, 4, 6, -1, 6, 0, 4, 1, 2, -3, 8, 3, 1, -8, -16, 1, -2, -1, -4, 2, 3, -2, -3, 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"930.2.i.i", "char_is_minimal": true, "conrey_index": 211, "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], [1, 0], [1, -1], [1, 0], [0, 1], [1, -1], [3, -3], [1, 0], [0, -1], [0, 1], [0, 3], [1, -1], [0, 2], [3, -3], [1, 0], [1, 0], [4, -4], [0, -1], [0, 0], [0, 1], [0, -3], [0, 3], [-4, 0], [1, -1], [-1, 1], [0, 2], [-1, 0], [3, -3], [-5, 0], [1, 0], [5, 1], [1, 0], [3, 0], [4, -4], [3, 0], [0, -1], [6, -6], [0, 0], [2, 0], [0, 1], [0, 2], [0, -3], [8, -8], [0, 3], [1, -1], [-4, 0], [-8, 0], [1, -1], [0, -2], [-1, 1], [0, -4], [0, 2], [0, 3], [-1, 0], [-3, 3], [3, -3], [0, 0], [-5, 0], [-3, 3], [1, 0], [-8, 0], [5, 1], [-3, 0], [1, 0], [-2, 2], [3, 0], [0, 10], [4, -4], [-4, 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