# Stored data for newform 3375.1.m.b, downloaded from the LMFDB on 03 June 2024.
{"Nk2": 3375, "analytic_conductor": 1.684344417636383, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 75, "char_degree": 4, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 13, "char_orbit_label": "m", "char_order": 10, "char_parity": -1, "char_values": [3375, 10, [1001, 2377], [5, 7]], "cm_discs": [], "conrey_index": 674, "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, [1, -2, 4, -3, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504424277871919, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0], [1, 1, 25, 4, 1, 5, 0], [1, 1, 75, 8, -1, 10, 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": "3375.1.m.b", "level": 3375, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 5], "level_radical": 15, "minimal_twist": "675.1.o.a", "nf_label": "8.0.4000000.1", "prim_orbit_index": 8, "projective_field": [-75, 0, -25, 0, 0, 1], "projective_field_label": "5.1.31640625.2", "projective_image": "A5", "projective_image_type": "A5", "qexp_display": "q+(1-\\zeta_{20}^{2})q^{2}+(1-\\zeta_{20}^{2}+\\zeta_{20}^{4}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "self_twist_discs": [], "self_twist_type": 0, "space_label": "3375.1.m", "trace_display": [6, 0, 0, 0], "traces": [0, 8, 6, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 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