# Stored data for newform 2667.2.a.p, downloaded from the LMFDB on 02 September 2025.
{"Nk2": 10668, "analytic_conductor": 21.29610221907548, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [7, -1], [127, -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": [2667, 1, [890, 1144, 2416], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 18, "field_disc": 283898636347277934143603192764954000, "field_disc_factorization": [[2, 4], [5, 3], [17, 1], [37, 1], [521, 1], [3967, 1], [109189968725188151409359, 1]], "field_poly": [16, -380, -1610, 1453, 8199, -3858, -15795, 7948, 13376, -7882, -5421, 3872, 988, -982, -35, 123, -11, -6, 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, [16, 380, -1610, -1453, 8199, 3858, -15795, -7948, 13376, 7882, -5421, -3872, 988, 982, -35, -123, -11, 6, 1]], [5, [49792, -50368, -404800, 101616, 916400, -47252, -885958, -65194, 430376, 74426, -108856, -28135, 13644, 4832, -651, -374, -9, 10, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67553994444114539, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 10, "hecke_ring_index_factorization": [[2, 1], [5, 1]], "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": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "2667.2.a.p", "level": 2667, "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, 127], "level_radical": 2667, "minimal_twist": "2667.2.a.p", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+(-1+\\beta _{12}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 18, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2667.2.a", "trace_display": [-6, -18, -10, 18], "trace_hash": 43560238941465590, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "13.658", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "562.451", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "39816.620", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "traces": [0, 18, -6, -18, 22, -10, 6, 18, -21, 18, -4, -9, -22, -25, -6, 10, 34, -17, -6, -5, -21, -18, 5, -14, 21, 28, -8, -18, 22, -17, 4, 5, -53, 9, -19, -10, 22, -15, -22, 25, -1, -17, 6, 1, -33, -10, 10, -31, -34, 18, -35, 17, -70, -35, 6, 4, -21, 5, 3, -46, 21, -5, -10, 18, 63, -12, -5, 6, -56, 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