# Stored data for newform 633.1.m.b, downloaded from the LMFDB on 16 April 2024.
{"label": "633.1.m.b", "space_label": "633.1.m", "level": 633, "weight": 1, "hecke_orbit": 2, "hecke_orbit_code": 4504424277869177, "dim": 8, "is_polredabs": true, "nf_label": "8.0.4000000.1", "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 0, -4, 0, 6, 0, 1, 0, 1]]], "qexp_display": "q+(\\zeta_{20}^{5}+\\zeta_{20}^{9})q^{2}+\\zeta_{20}^{6}q^{3}+(-1+\\cdots)q^{4}+\\cdots", "char_order": 10, "char_parity": -1, "char_degree": 4, "char_conductor": 633, "char_orbit_label": "m", "char_is_real": false, "Nk2": 633, "analytic_conductor": 0.3159081529966905, "hecke_ring_index": 1, "level_radical": 633, "projective_image": "A5", "projective_image_type": "A5", "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 20, "field_poly_is_real_cyclotomic": false, "projective_field_label": "5.1.17839074969.1", "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, 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