# Stored data for newform 98.2.c.b, downloaded from the LMFDB on 24 April 2024. {"label": "98.2.c.b", "space_label": "98.2.c", "level": 98, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503737099878498, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 84389186231716891, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [4, -2, 1]]], "qexp_display": "q+\\zeta_{6}q^{2}+(2-2\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "c", "char_is_real": false, "Nk2": 392, "analytic_conductor": 0.7825339398085478, "hecke_ring_index": 1, "level_radical": 14, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.023", "prec": 17}, "analytic_rank_proved": true, "char_values": [98, 3, [3], [2]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 7], "conrey_indexes": [67, 79], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.960", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.679", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "105.061", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c3", "trace_display": [1, 2, 0, 0], "traces": [0, 2, 1, 2, -1, 0, 4, 0, -2, -1, 0, 0, 2, -8, 0, 0, -1, -6, 1, -2, 0, 0, 0, 0, -2, 5, -4, 8, 0, -12, 0, 4, 1, 0, -12, 0, 2, -2, 2, -8, 0, 12, 0, 16, 0, 0, 0, 12, -4, 0, 10, 12, 4, -6, 4, 0, 0, -8, -6, 6, 0, -8, 8, 0, 2, 0, 0, 4, -6, 0, 0, 0, 1, -2, 2, -10, 4, 0, -16, -8, 0, 11, 6, -12, 0, 0, 8, -12, 0, 6, 0, 0, 0, -8, -12, 0, -2, -20, 0, 0, 5, 0, -12, 4, 8, 0, -12, -12, -4, -2, 0, -8, 0, 12, -4, 0, 6, 4, 12, 0, 0, 11, 8, 12, 4, 0, 0, -32, 1, 16, 0, -18, 0, 0, 8, 0, 6, -18, 0, 28, 0, 48, 0, 0, -1, 0, -4, 0, 4, 18, 10, -8, 2, 12, 0, 0, -8, 4, 8, 12, 0, 0, 22, 16, -6, 0, -6, -24, 0, 6, 0, -2, -8, 12, -24, 0, 0, -12, -6, 12, 0, 40, 0, -32, 0, 0, 8, 0, -24, 0, 0, -24, 2, -14, -10, 0, 0, -36, 0, -20, -5, -8, 0, 0, -24, 0, -4, 0, 4, 0, 0, -8, -6, 0, 12, 0, -8, 0, -4, 4, 0, 24, -4, 16, 0, -10, 6, -18, 4, 4, 0, 0, 12, 6, -4, 0, 6, -32, 0, 48, 0, 10, -11, -10, 16, 0, 24, 8, -4, -12, 0, -36, 0, 0, -16, 0, -1, -18, 32, 0, 0, 6, 18, 0, 0, 0, 0, 24, 4, 12, 0, 16, 12, 0, -36, 0, 0, 10, 14, -8, 0, -12, 24, 22, 0, 0, 0, 0, -2, -19, 0, -20, -2, 48, 0, 0, 2, 0, -18, 0, 20, 0, -16, 0, -2, 0, 6, 4, 0, 16, 0, 24, 8, 10, 8, 0, 16, -6, -12, 0, 0, -48, 0, 24, 11, -20, -16, 4, -12, 0, 0, -8, 6, -2, -12, 0, 0, 28, 3, 12, 0, 0, -4, 0, -16, 0, -12, 24, -12, -56, 0, -32, 0, -18, 12, 0, -12, 0, 24, 24, 0, 15, 20, 44, 0, 0, -16, -8, 0, -6, 0, 0, 16, -14, 0, 0, -12, 48, 0, -32, 0, -32, 24, -36, 4, 0, -28, -8, 10, -18, 0, 0, 0, -72, -18, 0, 0, -20, -40, 0, -10, 18, 8, -16, 0, 0, 0, 0, -12, -14, 0, 36, -8, 0, 0, 0, -4, 28, 0, 12, 0, -20, -4, 12, 6, 30, 0, 0, 24, 0, 0, -24, -4, -68, 0, 0, -2, 0, -4, -8, 0, 0, 48, 12, 4, 0, 8, 72, 0, 36, -5, 0, -6, 16, -36, 0, 8, 10, -4, -24, 0, 24, 0, 64, 6, 0, -6, 6, -8, 0, 0, -8, -6, 0, -16, -20, 0, 12, 24, 36, 0, 8, 20, 0, -22, 0, 10, 16, 8, 64, 0, -24, 12, 36, -8, 0, -8, 0, -24, 4, 0, -24, -18, 0, 0, 0, 0, 6, 16, -36, 0, 0, -2, -8, 18, 0, 16, 0, 0, 48, 0, -6, -6, -2, 36, 0, 0, 24, 0, 23, 0, -12, 0, -48, 12, 0, -4, -24, 24, 0, 0, -38, -16, 40, 6, 0, 0, 16, -18, -8, 0, 12, 0, 0, 20, 0, -14, -6, -4, -64, 0, 0, -6, -30, -24, 0, 44, 0, 0, -6, 0, -32, 0, -96, 0, 0, -1, -2, 19, 28, 0, 0, -40, 0, 2, 0, 24, -84, 0, -16, 0, -36, -2, 6, 0, 0, -36, 40, 0, 24, 10, 52, 0, -8, -8, 0, 0, -32, -4, 0, 0, -48, -6, -2, 2, 0, 0, 12, 8, -26, 0, 0, 48, 0, 16, -25, -10, 0, 4, 24, 0, -32, 8, -8, 6, 0, -24, 0, 0, 0, 0, 18, -24, 28, 0, 0, 12, 12, -11, 0, -40, 0, -32, -18, -4, 0, -6, 4, 0, -48, 0, 40, 8, -48, 12, 0, -4, 0, 12, 16, 0, 0, 0, 52, 14, 20, -3, 12, 24, 0, 0, 36, 0, 12, -2, 0, 0, 16, -8, 24, 0, 46, -24, 0, 48, 0, 12, -36, -28, 24, 0, 36, -16, -4, 0, 0, -36, 0, 24, 46, 0, -8, -6, 0, 0, 0, 12, 48, -24, -12, 0, 0, 30, -20, -20, -30, 22, 88, 0, 26, 0, -48, 16, 40, -16, 0, 0, 0, 6, 16, 0, 32, 0, 48, 8, 0, 14, 6, 0, 0, 0, 40, 12, -36, 24, 0, 0, 4, -16, 0, 0, 18, -64, 0, 48, 0, 36, -24, 2, 28, 0, -72, -14, -24, 8, -20, 20, 0, -36, -12, 0, 0, 0, -48, 0, 0, -36, 22, 18, 0, 0, 0, 0, 32, 20, 0, -20, -24, 0, -144, -5, 6, -18, 0, 16, 0, -32, -24, 0, -6, 0, 4, 0, 64, 0, 0, 12, -16, -28, 0, 0, -6, -36, 40, -4, 0, 0, -72, 0, -56, 0, -20, -8, 0, 56, 0, 0, 16, 6, 24, 0, 14, -10, -12, 4, 0, 24, 0, 12, -44, -30, 0, 0, 88, 0, 0, 12, 18, 0, -14, 0, 0, -48, 24, 4, 0, -34, -76, 0, 0, 0, -16, 2, 10, 0, 0, -8, 22, 8, 48, 0, -108, 0, 40, 24, 0, -12, 36, 8, 0, 0, 0, -8, 24, 36, 0, 0, 0, 18, -24, 5, -36, 0, 0, -12, 0, -16, -44, -18, 0, 0, 96, 4, 0, -10, 0, -8, 0, -48, -56, 0, 4, 12, 0, 0, -20, 32, 4, -6, -6, 0, 0, -12, -48, -6, 0, -4, 4, 0, 40, 0, 24, 8, 0, -12, 0, 0, -24, 16, 8, -10, -24, 0, -108, 6, 0, -24, 0, 72, 0, 0, 15, -8, -12, 10, 0, 0, 64, -11, 24, 0, 6, 20, 0, 32, 40, -8, 6, 32, 0, 0, 4, -12, 36, -12, 0, 72, 0, -16, 0, 0, 16, -4, -32, 0, 0, -12, -8, -4, -8, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], "char_orbit_index": 3, "prim_orbit_index": 3, "minimal_twist": "14.2.a.a", "char_is_minimal": false, "conrey_index": 67, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, 1], [2, -2], [-1, 1], [0, 0], [2, 0], [0, 0], [-1, 0], [0, -1], [0, 0], [0, 0], [0, 2], [-4, 0], [0, 0], [0, 0], [0, -1], [-6, 6], [1, -1], [0, -2], [0, 0], [0, 0], [0, 0], [0, 0], [-2, 2], [5, -5], [0, -4], [4, 0], [0, 0], [-6, 0], [0, 0], [4, -4], [1, -1], [0, 0], [-6, 0], [0, 0], [1, 0], [0, -2], [2, -2], [-8, 8], [0, 0], [6, 0], [0, 0], [8, 0], [0, 0], [0, 0], [0, 0], [0, 12], [-2, 0], [0, 0], [5, 0], [0, 12], [4, -4], [-6, 6], [0, 4], [0, 0], [0, 0], [-4, 0], [0, -6], [6, -6], [0, 0], [0, -8], [4, 0], [0, 0], [1, 0], [0, 0], [0, 0], [4, -4], [0, -6], [0, 0], [0, 0], [0, 0], [0, 1], [-2, 2], [2, -2], [0, -10], [2, 0], [0, 0], [-8, 0], [0, -8], [0, 0], [11, -11], [0, 6], [-6, 0], [0, 0], [0, 0], [0, 8], [-12, 12], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [0, -8], [-12, 12], [0, 0], [0, -2], [-10, 0], [0, 0], [0, 0], [0, 5]]}