# Stored data for newform 175.10.a.g, downloaded from the LMFDB on 20 September 2024.
{"Nk2": 17500, "analytic_conductor": 90.1312713286778, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [7, -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": [175, 1, [127, 101], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 17891443056697432560403040, "field_disc_factorization": [[2, 5], [5, 1], [4630157773, 1], [24150693040403, 1]], "field_poly": [-14714266, -6329061, 2066979, 3368, -3018, -3, 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, [-15252160, 5838048, 1934724, -32578, -2928, 15, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597931995311, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 360, "hecke_ring_index_factorization": [[2, 3], [3, 2], [5, 1]], "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": "175.10.a.g", "level": 175, "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], "level_radical": 35, "minimal_twist": "35.10.a.e", "prim_orbit_index": 1, "qexp_display": "q+(-3+\\beta _{1})q^{2}+(20+\\beta _{1}-\\beta _{2})q^{3}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "175.10.a", "trace_display": [-15, 124, 0, 14406], "trace_hash": 1511378562306976459, "trace_moments": [{"__RealLiteral__": 0, 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