# Stored data for newform 7623.2.a.da, downloaded from the LMFDB on 25 April 2024.
{"label": "7623.2.a.da", "space_label": "7623.2.a", "level": 7623, "weight": 2, "hecke_orbit": 79, "hecke_orbit_code": 351280770968460743, "dim": 12, "is_polredabs": true, "trace_hash": 2254381225199788267, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [244, 0, -936, 0, 1240, 0, -692, 0, 181, 0, -22, 0, 1]], [5, [7381, 0, -21846, 0, 16771, 0, -5300, 0, 751, 0, -46, 0, 1]], [13, [-50, -260, -174, 150, 5, -10, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}-\\beta _{8}q^{5}+q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30492, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 60.86996146082204, "hecke_ring_index": 16, "level_radical": 231, "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": "0.514", "prec": 17}, "analytic_rank_proved": true, "char_values": [7623, 1, [848, 4357, 4600], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [3, 7, 11], "conrey_indexes": [1], "field_disc": 2649723461832287453184, "field_disc_factorization": [[2, 20], [3, 6], [11, 2], [13, 2], [61, 1], [1667, 2]], "field_poly": [244, 0, -936, 0, 1240, 0, -692, 0, 181, 0, -22, 0, 1], "hecke_ring_index_factorization": [[2, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "10.301", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "569.485", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "45882.868", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, 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