# Stored data for newform 7105.2.a.o, downloaded from the LMFDB on 09 December 2025.
{"Nk2": 28420, "analytic_conductor": 56.73371063611971, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [7, -1], [29, 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": [7105, 1, [1422, 6961, 2206], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -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, [1, -3, -1, 1]], [3, [-4, -4, 2, 1]], [17, [68, -40, -4, 1]]], "hecke_orbit": 15, "hecke_orbit_code": 63050394816748481, "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": "7105.2.a.o", "level": 7105, "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, 29], "level_radical": 1015, "minimal_twist": "145.2.a.c", "nf_label": "3.3.148.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(-1+\\beta _{1}+\\beta _{2})q^{3}+(\\beta _{1}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7105.2.a", "trace_display": [1, -2, -3, 0], "trace_hash": 698325061986867037, "trace_moments": [{"__RealLiteral__": 0, "data": "0.038", "prec": 17}, {"__RealLiteral__": 0, "data": "2.888", "prec": 17}, {"__RealLiteral__": 0, "data": "0.084", "prec": 17}, {"__RealLiteral__": 0, "data": "22.976", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "271.054", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.006", "prec": 17}, "traces": [0, 3, 1, -2, 1, -3, 4, 0, 3, 3, -1, 2, 10, 2, 0, 2, -3, 4, 5, 10, -1, 0, -8, 16, 4, 3, 14, -8, 0, -3, -4, 14, -3, 0, 14, 0, -11, -8, 8, 8, -3, 2, 0, 2, 2, -3, 14, -14, -10, 0, 1, -16, 10, 6, -20, -2, 0, 4, -1, -8, -10, 6, 0, 0, -11, -2, 4, 28, -12, -12, 0, 28, -13, 16, 10, -2, 14, 0, 12, -6, 3, -1, -30, -12, 0, -4, 24, 2, 12, 10, -5, 0, 4, -20, 0, -10, -24, -8, 0, -18, 1, -2, -8, -8, -2, 0, 6, 0, 0, -14, 8, -8, 0, -24, 24, -16, -1, 10, 28, 0, -4, -13, 42, -8, -6, -3, 0, -2, -33, 52, -14, 2, -12, 0, 18, 8, -22, 36, 20, 12, 0, 20, 40, -16, 29, 3, -2, 0, -16, 10, 4, -8, 16, 56, 0, -14, 24, 0, -12, -16, 3, 0, -23, 2, -6, 0, 10, 8, 0, -11, -14, -2, 54, 14, -4, 0, -22, 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