# Stored data for newform 4.21.b.b, downloaded from the LMFDB on 25 April 2024.
{"label": "4.21.b.b", "space_label": "4.21.b", "level": 4, "weight": 21, "hecke_orbit": 2, "hecke_orbit_code": 4503668699168772, "dim": 8, "is_polredabs": true, "trace_hash": 2095770360907646824, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [160082421395847259122443877040709959680, 0, 218704749556493020583134494720, 0, 103630072300175425536, 0, 19152818688, 0, 1]]], "qexp_display": "q+(7^{2}+\\beta _{1})q^{2}+(6-12\\beta _{1}-\\beta _{2})q^{3}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 4, "char_orbit_label": "b", "char_is_real": true, "Nk2": 1764, "analytic_conductor": 10.140550604106465, "hecke_ring_index": 437749883780412211200, "level_radical": 2, "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": "0.504", "prec": 17}, "analytic_rank_proved": true, "char_values": [4, 2, [3], [1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2], "conrey_indexes": [3], "field_disc": 156293760664428775298355745512255193747190770892625, "field_disc_factorization": [[3, 2], [5, 3], [7, 3], [13, 1], [19, 2], [37, 1], [547, 3], [3775203532042451, 2]], "field_poly": [18139117546354278400, -23541970369228800, 163438296621056, -888904297728, 2339673984, -12461904, 41744, -3, 1], "hecke_ring_index_factorization": [[2, 56], [3, 5], [5, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.003", "prec": 17}, {"__RealLiteral__": 0, "data": "7.065", "prec": 17}, {"__RealLiteral__": 0, "data": "2.735", "prec": 17}, {"__RealLiteral__": 0, "data": "276.363", "prec": 24}, {"__RealLiteral__": 0, "data": "315.890", "prec": 24}, {"__RealLiteral__": 0, "data": "16277.670", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], 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