# Stored data for newform 4032.3.d.o, downloaded from the LMFDB on 12 September 2025.
{"Nk2": 36288, "analytic_conductor": 109.8640425900717, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 3, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 4, "char_orbit_label": "d", "char_order": 2, "char_parity": -1, "char_values": [4032, 2, [127, 3781, 1793, 577], [2, 2, 1, 2]], "cm_discs": [], "conrey_index": 449, "dim": 12, "field_disc": 1101767667457668042194944, "field_disc_factorization": [[2, 24], [7, 6], [541, 2], [1381, 2]], "field_poly": [144, 0, 20000, 0, 17809, 0, 5356, 0, 719, 0, 44, 0, 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": [[5, [65028096, 0, 42807296, 0, 7709440, 0, 541888, 0, 16196, 0, 212, 0, 1]], [11, [1230045184, 0, 838893568, 0, 160467216, 0, 7948640, 0, 133080, 0, 664, 0, 1]], [19, [950272, 28672, -82688, 9984, -80, -32, 1]]], "hecke_orbit": 15, "hecke_orbit_code": 63050600991952832, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 8192, "hecke_ring_index_factorization": [[2, 13]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 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": "4032.3.d.o", "level": 4032, "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": false, "level_primes": [2, 3, 7], "level_radical": 42, "minimal_twist": "2016.3.d.e", "prim_orbit_index": 2, "qexp_display": "q+\\beta _{8}q^{5}+\\beta _{4}q^{7}+\\beta _{6}q^{11}+(-1-\\beta _{9}+\\cdots)q^{13}+\\cdots", "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "2.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4032.3.d", 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