# Stored data for newform 1334.2.a.i, downloaded from the LMFDB on 19 April 2024.
{"label": "1334.2.a.i", "space_label": "1334.2.a", "level": 1334, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052519734, "dim": 8, "is_polredabs": true, "trace_hash": 2211395243370126599, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [2, 12, -7, -2, 1]], [5, [6, 0, -332, 0, 151, 0, -22, 0, 1]]], "qexp_display": "q+q^{2}-\\beta _{4}q^{3}+q^{4}-\\beta _{1}q^{5}-\\beta _{4}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5336, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 10.652043629638802, "hecke_ring_index": 1, "level_radical": 1334, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [1334, 1, [465, 553], [1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 23, 29], "conrey_indexes": [1], "field_disc": 7223297703936, "field_disc_factorization": [[2, 19], [3, 1], [2143, 2]], "field_poly": [6, 0, -332, 0, 151, 0, -22, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.025", "prec": 17}, {"__RealLiteral__": 0, "data": "6.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "137.394", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4192.901", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [23, 1], [29, 1]], "trace_display": [8, 4, 0, 8], "traces": [0, 8, 8, 4, 8, 0, 4, 8, 8, 12, 0, 8, 4, 4, 8, 0, 8, 8, 12, 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