# Stored data for newform 275.3.q.d, downloaded from the LMFDB on 19 September 2025. {"Nk2": 2475, "analytic_conductor": 7.493207269908165, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 55, "char_degree": 4, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 17, "char_orbit_label": "q", "char_order": 10, "char_parity": -1, "char_values": [275, 10, [177, 101], [5, 1]], "cm_discs": [], "conrey_index": 24, "dim": 8, "field_disc": 4000000, "field_disc_factorization": [[2, 8], [5, 6]], "field_poly": [1, 0, -1, 0, 1, 0, -1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 20, "has_non_self_twist": 1, "hecke_cutters": [[2, [25, 0, 75, 0, 85, 0, -5, 0, 1]], [3, [625, 0, 125, 0, 150, 0, -20, 0, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13511898444071187, "hecke_ring_generator_nbound": 4, "hecke_ring_index": 5, "hecke_ring_index_factorization": [[5, 1]], "hecke_ring_index_proved": true, 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