# Stored data for newform 177.2.d.c, downloaded from the LMFDB on 26 January 2021.
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61], [1, 1]], "Nk2": 708, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "d", "weight": 2, "trace_display": [4, -1, 0, 0], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q+(1-\\beta _{1}-\\beta _{2}-\\beta _{5})q^{2}-\\beta _{1}q^{3}+(2+\\cdots)q^{4}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": -19298288, "level_is_prime_power": false, "relative_dim": 6, "hecke_cutters": [[2, [7, -4, -2, 1]]], "space_label": "177.2.d", "level": 177, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 177, 4, 1, 2, 0]], "char_degree": 1, "char_conductor": 177, "char_orbit_index": 4, "hecke_ring_generator_nbound": 3, "hecke_orbit_code": 9007405446725809, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.731", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "170.851", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7143.276", "prec": 27}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "artin_degree": null, "qexp": [[0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, -1, -1, 0, 0, -1], [0, -1, 0, 0, 0, 0], [2, 0, -1, 0, 0, 0], [0, 0, 0, 0, -1, 0], [1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 0, 0], [1, 0, -2, 0, 0, 0], [-1, 1, 1, 1, 1, 0], [0, 2, 0, 1, 1, -2], [-3, -1, 0, 0, 0, -1], [-1, -2, 0, -1, 0, 1], [0, -1, 0, -2, -1, 1], [-1, 0, 2, 0, 0, 0], [1, -1, -2, 0, 1, -2], [-1, -1, -3, 0, 0, -1], [0, 1, 0, 1, 1, -1], [-3, 0, 2, 1, -1, 1], [1, -1, -3, 0, 0, -1], [0, 1, 0, 1, -2, -1], [1, 0, 0, 1, 0, -1], 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