# Stored data for newform 425.2.k.a, downloaded from the LMFDB on 21 January 2025.
{"Nk2": 1700, "analytic_conductor": 3.3936420859044163, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 25, "char_degree": 4, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 5, "char_parity": 1, "char_values": [425, 5, [52, 326], [4, 5]], "cm_discs": [], "conrey_index": 86, "dim": 4, "field_disc": 125, "field_disc_factorization": [[5, 3]], "field_poly": [1, -1, 1, -1, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 10, "has_non_self_twist": 1, "hecke_cutters": [[2, [1, 1, 6, -4, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 687228322217, "hecke_ring_generator_nbound": 3, "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, 25, 4, 1, 5, 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": true, "label": "425.2.k.a", "level": 425, "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, 17], "level_radical": 85, "minimal_twist": "425.2.k.a", "nf_label": "4.0.125.1", "prim_orbit_index": 4, "qexp_display": "q+(2-\\zeta_{10}+\\zeta_{10}^{2}-2\\zeta_{10}^{3})q^{2}+\\zeta_{10}^{3}q^{3}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c5", "self_twist_discs": [], "self_twist_type": 0, "space_label": "425.2.k", "trace_display": [4, 1, -5, 14], "trace_hash": 529321854254859955, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.309", "prec": 17}, {"__RealLiteral__": 0, "data": "47.842", "prec": 20}, {"__RealLiteral__": 0, "data": 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