# Stored data for newform 7595.2.a.r, downloaded from the LMFDB on 12 June 2024.
{"Nk2": 30380, "analytic_conductor": 60.646380335162455, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [7, -1], [31, -1]], "atkin_lehner_string": "+--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [7595, 1, [6077, 5736, 4901], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 2048, "field_disc_factorization": [[2, 11]], "field_poly": [2, 0, -4, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 16, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [2, 0, -4, 0, 1]], [3, [-1, -2, 1]], [11, [-17, 52, 46, 12, 1]]], "hecke_orbit": 18, "hecke_orbit_code": 76561193698860459, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "7595.2.a.r", "level": 7595, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [5, 7, 31], "level_radical": 1085, "minimal_twist": "1085.2.a.n", "nf_label": "4.4.2048.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{3}+\\beta _{2}q^{4}-q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7595.2.a", "trace_display": [0, 4, -4, 0], "trace_hash": 1632951897192505603, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.338", "prec": 17}, {"__RealLiteral__": 0, "data": "40.458", "prec": 20}, {"__RealLiteral__": 0, "data": "10.530", "prec": 20}, {"__RealLiteral__": 0, "data": "581.417", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.022", "prec": 17}, "traces": [0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 0, -12, 8, 4, 0, -4, -8, 4, 0, 8, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, 0, 4, 0, -20, 0, 0, 16, -16, 0, 4, 0, -8, 0, -16, -8, 0, -24, 4, -24, 0, 0, -12, 0, 0, 0, 12, 0, 8, 0, 24, -8, 16, 0, 0, 0, -4, 8, -16, -16, 8, 0, 16, 0, 0, -24, 4, 0, 0, 16, -36, 8, -4, 24, 8, 0, -4, -8, -12, 8, 16, 0, 0, 8, 4, 16, -8, 0, 4, 0, -16, 0, -8, -16, -20, 16, 0, 32, 8, -8, -20, 0, 0, 0, 8, -16, 0, -8, 0, -24, 0, 0, 8, 0, -8, 0, -4, 0, 0, 0, -48, 0, -16, -32, 0, 40, -4, -16, 16, -64, 40, 0, -4, -32, 4, -32, 4, 16, 0, 16, 16, 0, -4, -16, -32, 0, -4, 8, -32, -8, 8, 0, 0, 0, -24, 0, 20, -32, -20, 0, -16, 0, 0, -32, -20, -24, 0, 40, 16, -40, -16, -16, -16, 0, 16, 8, 16, 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