# Stored data for newform 2960.1.ez.a, downloaded from the LMFDB on 16 April 2024.
{"label": "2960.1.ez.a", "space_label": "2960.1.ez", "level": 2960, "weight": 1, "hecke_orbit": 1, "hecke_orbit_code": 8864829279120, "dim": 8, "is_polredabs": true, "nf_label": "8.0.5308416.1", "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q-\\zeta_{24}^{7}q^{2}+\\zeta_{24}^{5}q^{3}-\\zeta_{24}^{2}q^{4}+\\cdots", "char_order": 12, "char_parity": -1, "char_degree": 4, "char_conductor": 2960, "char_orbit_label": "ez", "char_is_real": false, "Nk2": 2960, "analytic_conductor": 1.4772324373936871, "hecke_ring_index": 1, "level_radical": 370, "projective_image": "S4", "projective_image_type": "S4", "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 24, "field_poly_is_real_cyclotomic": false, "projective_field_label": "4.0.14018560.7", "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [2960, 12, [2591, 741, 1777, 2481], [6, 3, 6, 4]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 8, "level_primes": [2, 5, 37], "conrey_indexes": [1099, 1379, 2579, 2859], "field_disc": 5308416, "field_disc_factorization": [[2, 16], [3, 4]], "field_poly": [1, 0, 0, 0, -1, 0, 0, 0, 1], "hecke_ring_index_factorization": [], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "trace_display": [0, 0, 0, 0], "traces": [0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, -8, 0, 4, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, -4, 0, 0, 4, 0, -8, 0, 0, 0, 0, 4, 0, 0, 0, 8, -4, 0, 0, 0, 4, 8, 0, 0, 4, 0, 8, 0, 0, -8, 0, -4, 0, 0, 0, 0, -4, 0, 0, -8, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, -4, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 4, 0, 0, 0, 16, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, -4, -4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -8, 0, -4, 0, 0, 8, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, -4, 0, 0, 0, 0, -4, -8, 0, 0, 0, 0, -8, 0, 0, -4, 0, 0, 0, 0, -4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 4, 0, 0, 0, 0, -4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 8, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, 0, 0, 4, 0, -8, 0, 0, 0, -8, -4, 0, 0, 0, 4, 8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 4, 0, 0, 0, 0, -8, 0, 0, 0, 0, -4, -4, 0, 0, 0, -8, 0, 0, 0, 0, 4, 0, 4, 0, 0, -8, 0, -4, 0, 0, -4, -4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 4, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -8, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, -8, 8, 0, 0, 0, 0, 8, 0, 0, -4, 4, -4, 0, 0, 8, 0, 4, 0, 0, 0, -8, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 16, 4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 8, 0, 4, 0, 0, 8, -8, 8, 0, 0, 4, 0, 8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 8, -4, 0, 0, 0, -4, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 8, 0, 0, -4, -8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -4, 4, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -8, 0, 0, 0, 0, 0, 0, 0, 0, 4, -8, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 4, 0, 0, -8, 0, 0, 0, 0, -16, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, -8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, -4, -16, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 4, 8, 0, 0, 0, 0, 0, -4, 0, 0, 16, 0, 4, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 0, 0, 0, -8, 8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 4, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 4, -4, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 8, 8, -4, 0, 0, 8, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 16, 0, 0, 0, 4, 8, 0, 0, -4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 16, 0, 0, 0, 0, 16, 4, 0, 0, -8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -4, 8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 8, 0, -8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, -8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 8, 0, 0, -8, -4, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, -8, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0, 0, 0, -4, 0, -4, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 4, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, -4, 0, -16, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 4, -8, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 8, 0, -8, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, -8, 0, 0, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 4, 0, 0, -8, 0, -8, 0, 0, 4, 0, -8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, -8, 4, 0, 0, -16, 0, 8, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, -8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, -8, -4, 8, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 4, 4, -4, 0, 0, -4, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -16, 0, 0, 0, 0, 0, 16, 4, 0, 0, 0, 0, -4, 0, 0, 8, 4, -4, 0, 0, 0, -8, -8, 0, 0, -4, 0, 0, 0, 0, 0, 0], "projective_field": [710, -8, -8, 0, 1], "weight_parity": -1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 16, 6, -1, 4, 0], [1, 1, 37, 3, 1, 3, 0], [1, 1, 80, 11, -1, 4, 0], [1, 1, 185, 14, 1, 6, 0], [1, 1, 592, 35, -1, 12, 0], [1, 1, 2960, 130, -1, 12, 0]], "char_orbit_index": 130, "prim_orbit_index": 130, "minimal_twist": "2960.1.ez.a", "char_is_minimal": true, "conrey_index": 1099, "id": null, "trace_hash": null, "fricke_eigenval": null, "atkin_lehner_string": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "trace_zratio": null, "trace_moments": null, "sato_tate_group": null, "atkin_lehner_eigenvals": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[], [[1, 0]], [[-1, 7]], [[1, 5]], [[-1, 2]], [[1, 5]], [[1, 0]], [[-1, 5], [1, 11]], [[1, 9]], [], [[1, 0]], [[1, 0], [-1, 6]], [[-1, 7]], [[-1, 11]], [[-1, 0], [1, 6]], [[1, 10]], [[1, 4]], [[-1, 1], [1, 7]], [], [[1, 2], [-1, 8]], [[-1, 7]], [[-1, 4], [-1, 10]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, 9]], [[-1, 2]], [[1, 10]], [[-1, 6]], [[1, 3]], [[1, 1], [1, 7]], [], [[1, 5]], [[1, 6]], [[-1, 11]], [[1, 5], [-1, 11]], [[1, 2], [1, 8]], [[-1, 4], [-1, 10]], [], [[-1, 5]], [[-1, 3], [-1, 9]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 5], [1, 11]], [[1, 3]], [[-1, 2], [1, 8]], [], [[-1, 4], [1, 10]], [], [[1, 9]], [[1, 4]], [[1, 5]], [[-1, 0], [-1, 6]], [[-1, 1]], [[1, 1]], [[-1, 10]], [[1, 5], [-1, 11]], [[1, 2], [-1, 8]], [[1, 1], [1, 7]], [], [], [[1, 0]], [[1, 2], [1, 8]], [[1, 1]], [], [[-1, 6]], [[1, 4]], [[1, 0], [-1, 6]], [], [[1, 3], [-1, 9]], [[1, 2], [-1, 8]], [[-1, 5], [1, 11]], [[-1, 8], [-1, 8]], [], [], [[-1, 0]], [[-1, 3]], [[-1, 4], [1, 10]], [[-1, 5], [1, 5], [2, 11]], [[-1, 11]], [[-1, 2], [-1, 2]], [[1, 9]], [[1, 8]], [[-1, 9]], [], [[-1, 0], [1, 6]], [[-1, 0], [-1, 6]], [[-1, 10]], [], [[1, 3], [1, 9]], [], [], [[-1, 4], [1, 10]], [[1, 5], [1, 11]], [[1, 11]], [], [[1, 1], [1, 7]], [[1, 4]], [], [[-1, 11]], [], [[1, 0]]]}