# Stored data for newform 114.2.h.b, downloaded from the LMFDB on 11 April 2026.
{"Nk2": 456, "analytic_conductor": 0.9102945830425964, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 57, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 8, "char_orbit_label": "h", "char_order": 6, "char_parity": 1, "char_values": [114, 6, [77, 97], [3, 1]], "cm_discs": [], "conrey_index": 65, "dim": 2, "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 6, "has_non_self_twist": 1, "hecke_cutters": [[5, [12, -6, 1]], [7, [-1, 1]], [17, [12, 6, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504080697262194, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 57, 6, 1, 6, 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": true, "label": "114.2.h.b", "level": 114, "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": [2, 3, 19], "level_radical": 114, "minimal_twist": "114.2.h.b", "nf_label": "2.0.3.1", "prim_orbit_index": 6, "qexp_display": "q+(-1+\\zeta_{6})q^{2}+(-1-\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "114.2.h", "trace_display": [-1, -3, 6, 2], "trace_hash": 1347171742466172929, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.928", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.640", "prec": 20}, 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