# Stored data for newform 2695.2.a.w, downloaded from the LMFDB on 20 April 2024.
{"label": "2695.2.a.w", "space_label": "2695.2.a", "level": 2695, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835708039, "dim": 10, "is_polredabs": true, "trace_hash": 1761026420146641901, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [1, -22, 31, 116, -86, -92, 56, 24, -13, -2, 1]], [3, [-14, -4, 182, 68, -308, -12, 130, 0, -20, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-\\beta _{8}q^{3}+(1+\\beta _{2})q^{4}-q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10780, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 21.519683344735064, "hecke_ring_index": 1, "level_radical": 385, "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": [2695, 1, [2157, 1816, 981], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [5, 7, 11], "conrey_indexes": [1], "field_disc": 5044087879630848, "field_disc_factorization": [[2, 19], [3, 2], [1068981569, 1]], "field_poly": [1, -22, 31, 116, -86, -92, 56, 24, -13, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.555", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "199.858", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6892.905", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [7, 1], [11, 1]], "trace_display": [2, 0, -10, 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