# Stored data for newform 300.6.a.h, downloaded from the LMFDB on 02 May 2024.
{"label": "300.6.a.h", "space_label": "300.6.a", "level": 300, "weight": 6, "hecke_orbit": 8, "hecke_orbit_code": 31525197492257068, "dim": 2, "is_polredabs": true, "nf_label": "2.2.28.1", "trace_hash": 2231153053220769031, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-25079, -22, 1]]], "qexp_display": "q+9q^{3}+(11+\\beta )q^{7}+3^{4}q^{9}+(186+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10800, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 48.11514594389419, "hecke_ring_index": 60, "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": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [300, 1, [151, 101, 277], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 28, "field_disc_factorization": [[2, 2], [7, 1]], "field_poly": [-7, 0, 1], "hecke_ring_index_factorization": [[2, 2], [3, 1], [5, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.001", "prec": 17}, {"__RealLiteral__": 0, "data": "1.890", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.103", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1]], "trace_display": [0, 18, 0, 22], "traces": [0, 2, 0, 18, 0, 0, 0, 22, 0, 162, 0, 372, 0, 10, 0, 0, 0, 1212, 0, -1550, 0, 198, 0, 2652, 0, 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