# Stored data for newform 1176.2.p.a, downloaded from the LMFDB on 09 September 2025.
{"Nk2": 4704, "analytic_conductor": 9.390407277702574, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 56, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 16, "char_orbit_label": "p", "char_order": 2, "char_parity": 1, "char_values": [1176, 2, [295, 589, 785, 1081], [1, 1, 2, 1]], "cm_discs": [], "conrey_index": 979, "dim": 32, "has_non_self_twist": 1, "hecke_orbit": 1, "hecke_orbit_code": 1030825706648, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 56, 5, 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": "1176.2.p.a", "level": 1176, "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.t.a", "prim_orbit_index": 5, "related_objects": [], "relative_dim": 32, "rm_discs": [], "sato_tate_group": "1.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1176.2.p", "trace_display": [4, 0, 0, 0], "traces": [32, 4, 0, 4, 0, 0, 0, 16, -32, 0, -16, 0, 0, 0, 0, -12, 0, -4, 0, 0, 0, -20, 0, 0, 32, 0, 0, 0, 0, 16, 0, 24, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -16, -48, 0, -16, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 16, 12, 0, 4, 0, 0, 0, 76, 0, 0, 64, 0, 0, 0, 0, -16, 0, 68, 0, 0, 0, -12, 0, 0, 32, 0, 0, 0, 0, -100, 0, 28, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 16, 32, 0, 8, 0, 0, 0, 76, -64, 0, 0, 0, 0, 0, -64, -52, 0, -72, 0, 0, 0, 8, 112, 0, -48, 0, 0, 0, 0, 144, 0, 8, 0, 0, 0, -116, 0, 0, -64, 0, 0, 0, 0, 72, 0, 12, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 64, 72, 0, 12, 0, 0, 0, 4, 64, 0, 0, 0, 0, 0, -16, 152, 0, 56, 0, 0, 0, 96, 16, 0, 112, 0, 0, 0, 0, -16, 0, -32, 0, 0, 0, -104, 0, 0, -16, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 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"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}