# Stored data for newform 7623.2.a.cx, downloaded from the LMFDB on 20 April 2024.
{"label": "7623.2.a.cx", "space_label": "7623.2.a", "level": 7623, "weight": 2, "hecke_orbit": 76, "hecke_orbit_code": 337769972086349255, "dim": 10, "is_polredabs": true, "trace_hash": 63809564516324843, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-11, 70, 253, -17, -316, -6, 124, 1, -19, 0, 1]], [5, [4336, 2392, -6768, -4812, 1751, 1873, 108, -179, -28, 5, 1]], [13, [2816, -74752, 90048, -12448, -19424, 4808, 1540, -334, -65, 6, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+\\beta _{6}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": 4, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [7623, 1, [848, 4357, 4600], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 7, 11], "conrey_indexes": [1], "field_disc": 6459452223578125, "field_disc_factorization": [[5, 6], [701, 1], [589736009, 1]], "field_poly": [-11, -70, 253, 17, -316, 6, 124, -1, -19, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.085", "prec": 17}, {"__RealLiteral__": 0, "data": "8.699", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "232.653", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10908.530", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, 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