# Stored data for newform 1152.4.a.i, downloaded from the LMFDB on 20 May 2025.
{"Nk2": 18432, "analytic_conductor": 67.97020032661318, "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": [1152, 1, [127, 901, 641], [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, [-6, 1]], [7, [20, 1]], [13, [54, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36028797086073984, "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": "1152.4.a.i", "level": 1152, "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": "128.4.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+6q^{5}-20q^{7}-14q^{11}-54q^{13}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1152.4.a", "trace_display": [0, 0, 6, -20], "trace_hash": 1119408410536392919, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.995", "prec": 17}, {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "1.975", "prec": 17}, {"__RealLiteral__": 0, "data": "0.113", "prec": 17}, {"__RealLiteral__": 0, "data": "4.868", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 1, 0, 0, 0, 6, 0, -20, 0, 0, 0, -14, 0, -54, 0, 0, 0, 66, 0, 162, 0, 0, 0, 172, 0, -89, 0, 0, 0, -2, 0, 128, 0, 0, 0, -120, 0, -158, 0, 0, 0, -202, 0, -298, 0, 0, 0, -408, 0, 57, 0, 0, 0, -690, 0, -84, 0, 0, 0, 322, 0, 298, 0, 0, 0, -324, 0, 202, 0, 0, 0, -700, 0, -418, 0, 0, 0, 280, 0, -744, 0, 0, 0, 678, 0, 396, 0, 0, 0, 82, 0, 1080, 0, 0, 0, 972, 0, -1122, 0, 0, 0, 1390, 0, -788, 0, 0, 0, -1614, 0, -2014, 0, 0, 0, 542, 0, 1032, 0, 0, 0, -1320, 0, -1135, 0, 0, 0, -1284, 0, -1712, 0, 0, 0, 2118, 0, -3240, 0, 0, 0, 486, 0, 1286, 0, 0, 0, 756, 0, -12, 0, 0, 0, -2666, 0, -172, 0, 0, 0, 768, 0, -838, 0, 0, 0, -3440, 0, 1346, 0, 0, 0, -1052, 0, 719, 0, 0, 0, 38, 0, 1780, 0, 0, 0, 2790, 0, 3418, 0, 0, 0, -948, 0, -924, 0, 0, 0, -1968, 0, -1058, 0, 0, 0, 726, 0, -4116, 0, 0, 0, 40, 0, -1212, 0, 0, 0, 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