# Stored data for newform 1014.2.a.h, downloaded from the LMFDB on 19 April 2026.
{"Nk2": 4056, "analytic_conductor": 8.096830764957831, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [13, -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": [1014, 1, [677, 847], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 12, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[5, [-3, 0, 1]], [7, [6, -6, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197425148918, "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": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1014.2.a.h", "level": 1014, "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, 13], "level_radical": 78, "minimal_twist": "78.2.i.b", "nf_label": "2.2.12.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}-q^{3}+q^{4}+\\beta q^{5}+q^{6}+(3-\\beta )q^{7}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1014.2.a", "trace_display": [-2, -2, 0, 6], "trace_hash": 482461560670299120, "trace_moments": [{"__RealLiteral__": 0, "data": "0.022", "prec": 17}, {"__RealLiteral__": 0, "data": "1.949", "prec": 17}, {"__RealLiteral__": 0, "data": "0.275", "prec": 17}, {"__RealLiteral__": 0, "data": "9.693", "prec": 17}, {"__RealLiteral__": 0, "data": "2.681", "prec": 17}, {"__RealLiteral__": 0, "data": "67.637", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.024", "prec": 17}, "traces": [0, 2, -2, -2, 2, 0, 2, 6, -2, 2, 0, 6, -2, 0, -6, 0, 2, 0, -2, 6, 0, -6, -6, -6, 2, -4, 0, -2, 6, -6, 0, 12, -2, -6, 0, -6, 2, 6, -6, 0, 0, 6, 6, 2, 6, 0, 6, -6, -2, 10, 4, 0, 0, 6, 2, -6, -6, -6, 6, 0, 0, 20, -12, 6, 2, 0, 6, 18, 0, 6, 6, 6, -2, 0, -6, 4, 6, 24, 0, -4, 0, 2, -6, -6, -6, 18, -2, 6, -6, 12, 0, 0, -6, -12, 6, 6, 2, 12, -10, 6, -4, 18, 0, 2, 0, 6, -6, 6, -2, 12, 6, -6, 6, 12, 6, -18, -6, 0, 0, -18, 0, 2, -20, -6, 12, 0, -6, -8, -2, -2, 0, 12, -6, 12, -18, 0, 0, -18, -6, -8, -6, 6, -6, 0, 2, 0, 0, -10, 6, -12, -4, 18, -6, 0, -24, 12, 0, 4, 4, -6, 0, 0, -2, 12, 6, 6, 6, -12, 6, 0, -18, 6, 2, 12, -6, -12, 6, 0, -12, -6, 0, 8, 0, -20, 6, 0, 12, -18, -6, -6, -6, 0, -2, -36, -12, 0, 10, 0, -6, -14, 4, -18, -18, -18, 0, 12, -2, -6, 0, 12, -6, 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