# Stored data for newform 7623.2.a.db, downloaded from the LMFDB on 25 April 2024.
{"label": "7623.2.a.db", "space_label": "7623.2.a", "level": 7623, "weight": 2, "hecke_orbit": 80, "hecke_orbit_code": 355784370595831239, "dim": 16, "is_polredabs": true, "trace_hash": 730983590111167257, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [121, 0, -1272, 0, 4042, 0, -5635, 0, 3876, 0, -1395, 0, 268, 0, -26, 0, 1]], [5, [215296, 0, -723136, 0, 858208, 0, -470400, 0, 129721, 0, -19130, 0, 1527, 0, -62, 0, 1]], [13, [42176, -12640, -16016, 2280, 2016, -60, -81, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{7}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": 1, "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": "0.511", "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": 1968852652784220255376000000000000, "field_disc_factorization": [[2, 16], [5, 12], [11092938781, 2]], "field_poly": [121, 0, -1272, 0, 4042, 0, -5635, 0, 3876, 0, -1395, 0, 268, 0, -26, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.126", "prec": 17}, {"__RealLiteral__": 0, "data": "12.529", "prec": 20}, {"__RealLiteral__": 0, "data": "11.418", "prec": 20}, {"__RealLiteral__": 0, "data": "905.233", "prec": 24}, {"__RealLiteral__": 0, "data": "1705.419", "prec": 27}, {"__RealLiteral__": 0, "data": "108027.336", "prec": 34}], 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