# Stored data for newform 450.3.g.d, downloaded from the LMFDB on 21 February 2026.
{"Nk2": 4050, "analytic_conductor": 12.26161189621336, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 5, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 7, "char_orbit_label": "g", "char_order": 4, "char_parity": -1, "char_values": [450, 4, [101, 127], [4, 1]], "cm_discs": [], "conrey_index": 307, "dim": 2, "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 4, "has_non_self_twist": 1, "hecke_cutters": [[7, [128, 16, 1]], [11, [-4, 1]], [17, [722, 38, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13511211249304002, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "450.3.g.d", "level": 450, "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, 3, 5], "level_radical": 30, "minimal_twist": "90.3.g.a", "nf_label": "2.0.4.1", "prim_orbit_index": 3, "qexp_display": "q+(i+1)q^{2}+2 i q^{4}+(-8 i-8)q^{7}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "2.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "450.3.g", "trace_display": [2, 0, 0, -16], "trace_hash": 1163065550731931985, "trace_moments": [{"__RealLiteral__": 0, "data": "0.060", "prec": 17}, {"__RealLiteral__": 0, "data": "2.040", "prec": 17}, {"__RealLiteral__": 0, "data": "0.222", "prec": 17}, {"__RealLiteral__": 0, "data": "12.561", "prec": 20}, {"__RealLiteral__": 0, "data": 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