# Stored data for newform 1170.2.i.d, downloaded from the LMFDB on 07 December 2025.
{"Nk2": 4680, "analytic_conductor": 9.342497036489805, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 13, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 9, "char_orbit_label": "i", "char_order": 3, "char_parity": 1, "char_values": [1170, 3, [911, 937, 1081], [3, 3, 2]], "cm_discs": [], "conrey_index": 451, "dim": 2, "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 6, "has_non_self_twist": 1, "hecke_cutters": [[7, [4, 2, 1]], [11, [9, 3, 1]], [29, [9, -3, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13511348671480978, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 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": "1170.2.i.d", "level": 1170, "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, 5, 13], "level_radical": 390, "minimal_twist": "390.2.i.c", "nf_label": "2.0.3.1", "prim_orbit_index": 3, "qexp_display": "q+(-1+\\zeta_{6})q^{2}-\\zeta_{6}q^{4}+q^{5}-2\\zeta_{6}q^{7}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1170.2.i", "trace_display": [-1, 0, 2, -2], "trace_hash": 10848009182067207, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.912", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.623", "prec": 20}, 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