# Stored data for newform 144.12.a.i, downloaded from the LMFDB on 05 June 2024.
{"Nk2": 20736, "analytic_conductor": 110.6414180005808, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1]], "atkin_lehner_string": "-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [144, 1, [127, 37, 65], [1, 1, 1]], "cm_discs": [-3], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[5, [0, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36028797220290704, "hecke_ring_generator_nbound": 1, "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, 3, 2, -1, 2, -3]], "is_cm": true, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": true, "is_twist_minimal": false, "label": "144.12.a.i", "level": 144, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3], "level_radical": 6, "minimal_twist": "36.12.a.c", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+268q^{7}-134374q^{13}+4655368q^{19}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "11.2.1.d1", "self_twist_discs": [-3], "self_twist_type": 1, "space_label": "144.12.a", "trace_display": [0, 0, 0, 268], "trace_hash": 70260167323368839, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.015", "prec": 17}, {"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "3.071", "prec": 17}, {"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "10.283", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.509", "prec": 17}, "traces": [0, 1, 0, 0, 0, 0, 0, 268, 0, 0, 0, 0, 0, -134374, 0, 0, 0, 0, 0, 4655368, 0, 0, 0, 0, 0, -48828125, 0, 0, 0, 0, 0, 249734764, 0, 0, 0, 0, 0, -782919730, 0, 0, 0, 0, 0, 1549433416, 0, 0, 0, 0, 0, -1977254919, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4430940374, 0, 0, 0, 0, 0, -15458751248, 0, 0, 0, 0, 0, 19805520230, 0, 0, 0, 0, 0, -32885832404, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36012232, 0, 0, 0, 0, 0, -112637211442, 0, 0, 0, 0, 0, 73068123460, 0, 0, 0, 0, 0, -279512328742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -285311670611, 0, 0, 0, 0, 0, -394909570460, 0, 0, 0, 0, 0, 1247638624, 0, 0, 0, 0, 0, -1149471836816, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1879586495156, 0, 0, 0, 0, 0, -561914369002, 0, 0, 0, 0, 0, -1045396961144, 0, 0, 0, 0, 0, -1774104022161, 0, 0, 0, 0, 0, -13085937500, 0, 0, 0, 0, 0, -5027869824094, 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