# Stored data for newform 675.2.e.e, downloaded from the LMFDB on 16 May 2025.
{"Nk2": 2700, "analytic_conductor": 5.389902136436426, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 9, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [675, 3, [326, 352], [1, 3]], "cm_discs": [], "conrey_index": 226, "dim": 8, "field_disc": 1223810289, "field_disc_factorization": [[3, 4], [13, 4], [23, 2]], "field_poly": [9, 15, 37, -8, 23, -2, 8, -2, 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": [[2, [9, 15, 37, -8, 23, -2, 8, -2, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014673420944035, "hecke_ring_generator_nbound": 4, "hecke_ring_index": 3, "hecke_ring_index_factorization": [[3, 1]], "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": "675.2.e.e", "level": 675, "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": "225.2.e.c", "nf_label": "8.0.1223810289.2", "prim_orbit_index": 3, "qexp_display": "q+\\beta _{1}q^{2}+(\\beta _{1}-\\beta _{2}-\\beta _{3}+\\beta _{6})q^{4}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "675.2.e", "trace_display": [2, 0, 0, 1], "trace_hash": 65611337488241637, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.668", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 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