# Stored data for newform 672.2.bi.c, downloaded from the LMFDB on 29 May 2024.
{"Nk2": 2688, "analytic_conductor": 5.3659470158300415, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 168, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 35, "char_orbit_label": "bi", "char_order": 6, "char_parity": 1, "char_values": [672, 6, [127, 421, 449, 577], [6, 3, 3, 1]], "cm_discs": [], "conrey_index": 17, "dim": 48, "has_non_self_twist": 1, "hecke_cutters": [[5, [5184, 0, -55872, 0, 445432, 0, -1506760, 0, 3734769, 0, -2318580, 0, 963618, 0, -241512, 0, 44115, 0, -5472, 0, 498, 0, -28, 0, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9009535750505120, "inner_twist_count": 8, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 21, 7, 1, 6, 0], [1, 1, 24, 8, -1, 2, 0], [1, 1, 56, 10, -1, 6, 0], [1, 1, 168, 27, 1, 6, 0]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "672.2.bi.c", "level": 672, "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": "168.2.ba.c", "prim_orbit_index": 27, "related_objects": [], "relative_dim": 24, "rm_discs": [], "sato_tate_group": "1.2.3.c6", "self_twist_discs": [], "self_twist_type": 0, "space_label": "672.2.bi", "trace_display": [0, 0, 0, 4], "traces": [48, 0, 0, 0, 0, 0, 4, 0, -14, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -48, 0, -42, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 56, 0, 42, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -24, 0, 12, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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"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}