# Stored data for newform 72.10.a.b, downloaded from the LMFDB on 21 May 2024.
{"Nk2": 7200, "analytic_conductor": 37.08258020379886, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -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": [72, 1, [55, 37, 65], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[5, [830, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599795142728, "hecke_ring_generator_nbound": 1, "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_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "72.10.a.b", "level": 72, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3], "level_radical": 6, "minimal_twist": "24.10.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-830q^{5}+672q^{7}+73468q^{11}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "72.10.a", "trace_display": [0, 0, -830, 672], "trace_hash": 665150071737832443, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.966", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.920", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.811", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 1, 0, 0, 0, -830, 0, 672, 0, 0, 0, 73468, 0, -78242, 0, 0, 0, 161726, 0, -653572, 0, 0, 0, 1066696, 0, -1264225, 0, 0, 0, -3824838, 0, -1579480, 0, 0, 0, -557760, 0, 16015590, 0, 0, 0, -26268282, 0, -44495228, 0, 0, 0, -14324160, 0, -39902023, 0, 0, 0, 24386050, 0, -60978440, 0, 0, 0, -11942084, 0, -189740258, 0, 0, 0, 64940860, 0, -106709572, 0, 0, 0, -302754376, 0, 81769546, 0, 0, 0, 49370496, 0, 315315352, 0, 0, 0, -752833276, 0, -134232580, 0, 0, 0, 433284294, 0, -52578624, 0, 0, 0, 542464760, 0, 1282496642, 0, 0, 0, 1961154450, 0, -948061328, 0, 0, 0, 246612684, 0, 1473079774, 0, 0, 0, -766579218, 0, -885357680, 0, 0, 0, 108679872, 0, 3039599333, 0, 0, 0, 2670400500, 0, 3085463128, 0, 0, 0, -2763167932, 0, -439200384, 0, 0, 0, -2750409210, 0, 1587043764, 0, 0, 0, -5748283256, 0, 3174615540, 0, 0, 0, 9163279922, 0, -6460730224, 0, 0, 0, 1310968400, 0, -13492954466, 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