# Stored data for newform 6.21.b.a, downloaded from the LMFDB on 18 April 2024.
{"label": "6.21.b.a", "space_label": "6.21.b", "level": 6, "weight": 21, "hecke_orbit": 1, "hecke_orbit_code": 69071798278, "dim": 6, "is_polredabs": true, "trace_hash": 1034302125646038030, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q+\\beta _{1}q^{2}+(3141-11\\beta _{1}-\\beta _{2})q^{3}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 3, "char_orbit_label": "b", "char_is_real": true, "Nk2": 2646, "analytic_conductor": 15.210825906159698, "hecke_ring_index": 277326388342554624, "level_radical": 6, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.508", "prec": 17}, "analytic_rank_proved": true, "char_values": [6, 2, [5], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2, 3], "conrey_indexes": [5], "field_disc": -22134449153955891200, "field_disc_factorization": [[-1, 1], [2, 11], [5, 2], [7, 2], [829, 2], [3583, 2]], "field_poly": [548136050, 0, 2813589, 0, 3396, 0, 1], "hecke_ring_index_factorization": [[2, 31], [3, 17]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.503", "prec": 17}, {"__RealLiteral__": 0, "data": "1.159", "prec": 17}, {"__RealLiteral__": 0, "data": "162.951", "prec": 24}, {"__RealLiteral__": 0, "data": "172.423", "prec": 24}, {"__RealLiteral__": 0, "data": "6943.901", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "20.2.3.c2", "trace_display": [0, 18846, 0, -566671812], "traces": [0, 6, 0, 18846, -3145728, 0, 35057664, -566671812, 0, 1944941382, 5360984064, 0, -9880731648, -49898545620, 0, 487708151328, 1649267441664, 0, -3239129751552, 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