# Stored data for newform 1925.2.a.ba, downloaded from the LMFDB on 20 October 2025.
{"Nk2": 7700, "analytic_conductor": 15.371202389096474, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, -1], [7, 1], [11, 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": [1925, 1, [1002, 276, 1751], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 7, "field_disc": 30908801600, "field_disc_factorization": [[2, 6], [5, 2], [17, 1], [83, 1], [13691, 1]], "field_poly": [20, -35, -25, 47, 10, -13, -1, 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": [[2, [-20, -35, 25, 47, -10, -13, 1, 1]], [3, [34, -85, -20, 77, 2, -17, 0, 1]], [13, [1324, -2404, -460, 668, 75, -49, -3, 1]]], "hecke_orbit": 27, "hecke_orbit_code": 117093590345189253, "hecke_ring_generator_nbound": 3, "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": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "1925.2.a.ba", "level": 1925, "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, 11], "level_radical": 385, "minimal_twist": "1925.2.a.ba", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}-\\beta _{2}q^{3}+(2-\\beta _{2}+\\beta _{3})q^{4}+\\cdots", "related_objects": [], "relative_dim": 7, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1925.2.a", "trace_display": [-1, 0, 0, -7], "trace_hash": 1951041132649298519, "trace_moments": [{"__RealLiteral__": 0, "data": "0.104", "prec": 17}, {"__RealLiteral__": 0, "data": "6.569", "prec": 17}, {"__RealLiteral__": 0, "data": "4.228", "prec": 17}, {"__RealLiteral__": 0, "data": "128.877", "prec": 24}, {"__RealLiteral__": 0, "data": "202.621", "prec": 24}, {"__RealLiteral__": 0, "data": "3946.781", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, "traces": [0, 7, -1, 0, 13, 0, -1, -7, -6, 13, 0, -7, 21, 3, 1, 0, 29, 0, -14, 18, 0, 0, 1, 7, -22, 0, 13, -6, -13, -2, 0, 24, -33, 0, 33, 0, 44, -21, -9, 10, 0, -10, 1, 2, -13, 0, 3, -1, 77, 7, 0, 29, -9, 11, -47, 0, 6, -7, 33, 1, 0, 28, -16, -13, 48, 0, 1, 0, 46, 33, 0, -10, -36, 11, -6, 0, 20, 7, 31, 19, 0, 27, -8, 19, -21, 0, 55, 12, 6, -2, 0, -3, -40, -58, 21, 0, -23, -8, -1, -13, 0, -7, -69, 14, 6, 0, -3, 11, 115, -3, 0, 6, -29, -18, -105, 0, -7, 37, 39, 0, 0, 7, 9, 23, 2, 0, 14, -18, -25, -50, 0, 10, -21, -18, -31, 0, 15, 46, -53, 65, 0, -17, -12, -3, 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