# Stored data for newform 1281.2.a.h, downloaded from the LMFDB on 23 February 2025.
{"Nk2": 5124, "analytic_conductor": 10.228836498926016, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [7, 1], [61, -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": [1281, 1, [428, 367, 673], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 594077, "field_disc_factorization": [[11, 1], [53, 1], [1019, 1]], "field_poly": [-1, -4, 14, -6, -2, 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, [9, 12, -7, -8, 1, 1]], [5, [-1, 12, 0, -10, 0, 1]], [11, [4, 23, 7, -21, -3, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197425149185, "hecke_ring_generator_nbound": 5, "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": "1281.2.a.h", "level": 1281, "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": true, "level_primes": [3, 7, 61], "level_radical": 1281, "minimal_twist": "1281.2.a.h", "nf_label": "5.5.594077.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{3}q^{2}-q^{3}+(1+\\beta _{1}+\\beta _{2})q^{4}+\\beta _{2}q^{5}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1281.2.a", "trace_display": [-1, -5, 0, -5], "trace_hash": 116569866012106766, "trace_moments": [{"__RealLiteral__": 0, "data": "0.025", 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