# Stored data for newform 704.6.a.g, downloaded from the LMFDB on 10 September 2024.
{"Nk2": 25344, "analytic_conductor": 112.91020914833837, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [11, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [704, 1, [639, 133, 321], [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": [[3, [-7, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597864886976, "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_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "704.6.a.g", "level": 704, "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": [2, 11], "level_radical": 22, "minimal_twist": "44.6.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+7q^{3}+79q^{5}+50q^{7}-194q^{9}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "704.6.a", "trace_display": [0, 7, 79, 50], "trace_hash": 1945356239580468441, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "1.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.181", "prec": 17}, {"__RealLiteral__": 0, "data": "5.000", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 1, 0, 7, 0, 79, 0, 50, 0, -194, 0, 121, 0, 380, 0, 553, 0, -1154, 0, -1824, 0, 350, 0, -3591, 0, 3116, 0, -3059, 0, -8032, 0, 2945, 0, 847, 0, 3950, 0, -6979, 0, 2660, 0, -520, 0, -2486, 0, -15326, 0, 6920, 0, -14307, 0, -8078, 0, 13718, 0, 9559, 0, -12768, 0, -31779, 0, -34156, 0, -9700, 0, 30020, 0, -61503, 0, -25137, 0, 14971, 0, -36444, 0, 21812, 0, 6050, 0, 28538, 0, 25729, 0, 77482, 0, -91166, 0, -56224, 0, 36271, 0, 19000, 0, 20615, 0, -144096, 0, -49799, 0, -23474, 0, 153406, 0, 134720, 0, 27650, 0, 169218, 0, 233206, 0, -48853, 0, 94329, 0, -283689, 0, -73720, 0, -57700, 0, 14641, 0, -3640, 0, -711, 0, 259480, 0, -17402, 0, -85410, 0, -91200, 0, -241661, 0, -427703, 0, 309690, 0, 48440, 0, 45980, 0, -634528, 0, -100149, 0, -449846, 0, -405074, 0, 223876, 0, 232655, 0, -339321, 0, 96026, 0, -179550, 0, 271396, 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