# Stored data for newform 162.8.c.p, downloaded from the LMFDB on 14 January 2025.
{"Nk2": 10368, "analytic_conductor": 50.606374128427724, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 9, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 3, "char_orbit_label": "c", "char_order": 3, "char_parity": 1, "char_values": [162, 3, [83], [2]], "cm_discs": [], "conrey_index": 55, "dim": 4, "field_disc": 974169, "field_disc_factorization": [[3, 2], [7, 2], [47, 2]], "field_poly": [6724, 82, 83, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[5, [57247740225, -11484720, 241569, 48, 1]]], "hecke_orbit": 16, "hecke_orbit_code": 67554131983728802, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 2916, "hecke_ring_index_factorization": [[2, 2], [3, 6]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "162.8.c.p", "level": 162, "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], "level_radical": 6, "minimal_twist": "54.8.a.g", "nf_label": "4.0.974169.3", "prim_orbit_index": 3, "qexp_display": "q+8\\beta _{1}q^{2}+(-2^{6}+2^{6}\\beta _{1})q^{4}+(-24+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "7.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "162.8.c", "trace_display": [16, 0, -48, -880], "trace_hash": 1821107031056623622, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.962", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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