# Stored data for newform 234.2.h.a, downloaded from the LMFDB on 25 April 2024. {"label": "234.2.h.a", "space_label": "234.2.h", "level": 234, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 481069891818, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 737785061460992746, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [3, 1]], [7, [4, 2, 1]]], "qexp_display": "q+(-1+\\zeta_{6})q^{2}-\\zeta_{6}q^{4}-3q^{5}-2\\zeta_{6}q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "h", "char_is_real": false, "Nk2": 936, "analytic_conductor": 1.868499407297961, "hecke_ring_index": 1, "level_radical": 78, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [234, 3, [209, 145], [3, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 13], "conrey_indexes": [55, 217], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.037", "prec": 17}, {"__RealLiteral__": 0, "data": "2.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.448", "prec": 17}, {"__RealLiteral__": 0, "data": "12.072", "prec": 20}, {"__RealLiteral__": 0, "data": "5.398", "prec": 17}, {"__RealLiteral__": 0, "data": "109.070", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [-1, 0, -6, -2], "traces": [0, 2, -1, 0, -1, -6, 0, -2, 2, 0, 3, 6, 0, -7, 4, 0, -1, -3, 0, -2, 3, 0, 6, -6, 0, 8, 5, 0, -2, 3, 0, -8, -1, 0, 6, 6, 0, 7, 4, 0, -6, -3, 0, 10, -12, 0, 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