# Stored data for newform 272.10.a.f, downloaded from the LMFDB on 23 April 2024.
{"label": "272.10.a.f", "space_label": "272.10.a", "level": 272, "weight": 10, "hecke_orbit": 6, "hecke_orbit_code": 22517998304624912, "dim": 5, "is_polredabs": true, "trace_hash": 2272883168698817445, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [801447696, -284823432, 6621804, -26850, -236, 1]]], "qexp_display": "q+(47-\\beta _{3})q^{3}+(295-2\\beta _{1}-2\\beta _{2}+\\cdots)q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 27200, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 140.0897474365735, "hecke_ring_index": 192, "level_radical": 34, "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": 0, "analytic_rank_proved": true, "char_values": [272, 1, [239, 69, 241], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 17], "conrey_indexes": [1], "field_disc": 737679506699403884, "field_disc_factorization": [[2, 2], [7, 2], [11, 2], [271, 1], [24659, 1], [4654591, 1]], "field_poly": [-2711704, 488987, 5754, -1596, -2, 1], "hecke_ring_index_factorization": [[2, 6], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.110", "prec": 17}, {"__RealLiteral__": 0, "data": "4.680", "prec": 17}, {"__RealLiteral__": 0, "data": "1.144", "prec": 17}, {"__RealLiteral__": 0, "data": "65.926", "prec": 20}, {"__RealLiteral__": 0, "data": "24.380", "prec": 20}, {"__RealLiteral__": 0, "data": "1480.182", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [17, 1]], "trace_display": [0, 236, 1480, 13202], "traces": [0, 5, 0, 236, 0, 1480, 0, 13202, 0, 10981, 0, 68036, 0, 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