# Stored data for newform 980.2.g.a, downloaded from the LMFDB on 11 December 2024.
{"Nk2": 3920, "analytic_conductor": 7.825339398085478, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 28, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 7, "char_orbit_label": "g", "char_order": 2, "char_parity": 1, "char_values": [980, 2, [491, 197, 101], [1, 2, 1]], "cm_discs": [], "conrey_index": 391, "dim": 32, "has_non_self_twist": 1, "hecke_cutters": [[3, [576, 0, -3744, 0, 9345, 0, -11424, 0, 7243, 0, -2368, 0, 395, 0, -32, 0, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 412350415828, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 28, 4, 1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "980.2.g.a", "level": 980, "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, 5, 7], "level_radical": 70, "minimal_twist": "140.2.o.a", "prim_orbit_index": 4, "related_objects": [], "relative_dim": 32, "rm_discs": [], "sato_tate_group": "1.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "980.2.g", "trace_display": [-4, 0, 0, 0], "traces": [32, -4, 0, 4, 0, 0, 0, -4, 32, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -8, 0, 0, -32, 0, 0, 0, -40, 0, 0, -4, 0, 0, 0, 60, -16, 0, 0, 0, 0, 0, 0, 36, 0, -4, 0, 0, 0, 4, 0, 0, 16, 0, 0, 0, 48, -4, 0, -28, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, 0, -8, 0, -76, 0, 0, 0, 120, 0, 0, 72, 0, 0, 0, 0, -56, 0, -8, 0, 0, 0, -4, 16, 0, 0, 0, 0, 0, 0, -4, 0, 56, 0, 0, 0, -116, 0, 0, -96, 0, 0, 0, 64, 40, 0, 64, 0, 0, 0, -64, 40, 0, 0, 0, 0, 0, 0, -60, 0, 40, 0, 0, 0, -32, 0, 0, -64, 0, 0, 0, -72, 48, 0, 20, 0, 0, 0, -184, -48, 0, 0, 0, 0, 0, 0, -32, 0, 40, 0, 0, 0, -68, 0, 0, 48, 0, 0, 0, -8, 32, 0, -12, 0, 0, 0, 172, -16, 0, 0, 0, 0, 0, 0, -44, 0, -40, 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"artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}