# Stored data for newform 34.2.a.a, downloaded from the LMFDB on 25 April 2024.
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"hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 17], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.966", "prec": 17}, {"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "1.872", "prec": 17}, {"__RealLiteral__": 0, "data": "0.083", "prec": 17}, {"__RealLiteral__": 0, "data": "4.577", "prec": 17}], "related_objects": ["EllipticCurve/Q/34/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [17, 1]], "trace_display": [1, -2, 0, -4], "traces": [0, 1, 1, -2, 1, 0, -2, -4, 1, 1, 0, 6, -2, 2, -4, 0, 1, -1, 1, -4, 0, 8, 6, 0, -2, -5, 2, 4, -4, 0, 0, -4, 1, -12, -1, 0, 1, -4, -4, -4, 0, 6, 8, 8, 6, 0, 0, 0, -2, 9, -5, 2, 2, -6, 4, 0, -4, 8, 0, 0, 0, -4, 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-18, -24, -16, 0, 48, 24, 48, 4, 0, 2, -2, 16, 48, 0, 16, -16, 14, 0, 0, -4, 32, 8, -12, 0, 18, 9, -16, -2, 0, -24, 24, 8, 64, 0, -66, 8, 0, -12, 0, -4, 0, -18, 0, -5, 6, 36, 64, -6, 0, 32, -58, -6, 18, 0, 12, 8, 0, 26, 0, 14, 24, -4, 56, 0, -40, -6, 0, 48, 20, -16, -16, 0, -18, 0, -36, 18, -24, 12, 0, 2, -58, -32, 68, 0, -36, -28, 0, 0, 0, 48, 18, -16, 4, 20, 24, 4, -30, -6, 0, 24, 0, 24, -24, 0, -15, -8, -6, -10, 0, 0, -40, 25, -8, 0, -24, 10, -8, 8, 20, -4, 42, -4, -36, 0, -16, -12, 0, -12, 0, 0, 0, -8, 0, 0, -16, -4, 32, 0, 0, 0, -28, 14, -16, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "34.2.a.a", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [1], [-2], [1], [0], [-2], [-4], [1], [1], [0], [6], [-2], [2], [-4], [0], [1], [-1], [1], [-4], [0], [8], [6], [0], [-2], [-5], [2], [4], [-4], [0], [0], [-4], [1], [-12], [-1], [0], [1], [-4], [-4], [-4], [0], [6], [8], [8], [6], [0], [0], [0], [-2], [9], [-5], [2], [2], [-6], [4], [0], [-4], [8], [0], [0], [0], [-4], [-4], [-4], [1], [0], [-12], [8], [-1], [0], [0], [0], [1], [2], [-4], [10], [-4], [-24], [-4], [8], [0], [-11], [6], [0], [8], [0], [8], [0], [6], [-6], [0], [-8], [0], [8], [0], [0], [-2], [14], [9], [6], [-5]]}