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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -1], [11, 1]], 'atkin_lehner_string': '--+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1078, 1, [199, 981], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [0, 1]], [5, [2, 1]], [13, [2, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679889974, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1078.2.a.j', 'level': 1078, '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, 7, 11], 'level_radical': 154, 'minimal_twist': '154.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-2q^{5}+q^{8}-3q^{9}-2q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/1078/j'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1078.2.a', 'trace_display': [1, 0, -2, 0], 'trace_hash': 94520473581404861, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.949', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.880', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, 'traces': [1, 1, 0, 1, -2, 0, 0, 1, -3, -2, -1, 0, -2, 0, 0, 1, -2, -3, 0, -2, 0, -1, -8, 0, -1, -2, 0, 0, -2, 0, 8, 1, 0, -2, 0, -3, -2, 0, 0, -2, -10, 0, 4, -1, 6, -8, -8, 0, 0, -1, 0, -2, 6, 0, 2, 0, 0, -2, 0, 0, -10, 8, 0, 1, 4, 0, -12, -2, 0, 0, 16, -3, 14, -2, 0, 0, 0, 0, 0, -2, 9, -10, 0, 0, 4, 4, 0, -1, 6, 6, 0, -8, 0, -8, 0, 0, -10, 0, 3, -1, -18, 0, 0, -2, 0, 6, -4, 0, -2, 2, 0, 0, 2, 0, 16, -2, 6, 0, 0, 0, 1, -10, 0, 8, 12, 0, 8, 1, 0, 4, 0, 0, 0, -12, 0, -2, -6, 0, 16, 0, 0, 16, 2, -3, 4, 14, 0, -2, 14, 0, 0, 0, 6, 0, -16, 0, 14, 0, 0, -2, 0, 9, -20, -10, 0, 0, -16, 0, -9, 4, 0, 4, 14, 0, 0, -1, 0, 6, 4, 6, 22, 0, 0, -8, 4, 0, 2, -8, 0, 0, 8, 0, 2, -10, 0, 0, -18, 3, -16, -1, 0, -18, 0, 0, 20, 0, 24, -2, 0, 0, 4, 6, 0, -4, -8, 0, 0, -2, 0, 2, 4, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [0], [1], [-2], [0], [0], [1], [-3], [-2], [-1], [0], [-2], [0], [0], [1], [-2], [-3], [0], [-2], [0], [-1], [-8], [0], [-1], [-2], [0], [0], [-2], [0], [8], [1], [0], [-2], [0], [-3], [-2], [0], [0], [-2], [-10], [0], [4], [-1], [6], [-8], [-8], [0], [0], [-1], [0], [-2], [6], [0], [2], [0], [0], [-2], [0], [0], [-10], [8], [0], [1], [4], [0], [-12], [-2], [0], [0], [16], [-3], [14], [-2], [0], [0], [0], [0], [0], [-2], [9], [-10], [0], [0], [4], [4], [0], [-1], [6], [6], [0], [-8], [0], [-8], [0], [0], [-10], [0], [3], [-1]], 'ap': [[1], [0], [-2], [0], [-1], [-2], [-2], [0], [-8], [-2], [8], [-2], [-10], [4], [-8], [6], [0], [-10], [-12], [16], [14], [0], [0], [6], [-10], [-18], [0], [-4], [-2], [2], [8], [0], [-6], [16], [14], [0], [14], [-20], [-16], [14], [4], [22], [8], [2], [-18], [-16], [4], [-16], [-16], [22], [-6], [-8], [-18], [-24], [30], [-24], [-18], [-16], [30], [-22], [24], [30], [16], [-8], [14], [-18], [4], [18], [-28], [-2], [-18], [32], [-16], [14], [4], [-8], [-18], [-18], [18], [-10], [-16], [22], [-8], [-26], [-40], [12], [-30], [-22], [30], [-8], [-24], [-8], [-40], [12], [-28], [24], [-2], [-34], [-8], [38], [-36], [-10], [-8], [-6], [-44], [-2], [-24], [-42], [0], [46], [16], [22], [-6], [16], [0], [-30], [32], [0], [-26], [28], [-2], [-14], [-26], [12], [-24], [30], [30], [8], [-32], [22], [12], [0], [-32], [14], [6], [-34], [-18], [-32], [-2], [42], [40], [30], [32], [-52], [38], [0], [-26], [22], [56], [40], [-2], [30], [4], [32], [-4], [-48], [24], [6], [-18], [38], [-52], [-22], [32], [16], [2], [0], [-8], [30], [-14], [-26], [60], [46], [40], [58], [-8], [38], [44], [14], [24], [38], [0], [-8], [-2], [14], [64], [-42], [22], [-24], [26], [8], [-34], [28], [20], [14], [4], [6], [50], [38], [-42], [24], [-26], [56], [-34], [22], [0], [6], [-56], [-36], [-6], [-8], [-46], [14], [-40], [-32], [24], [14], [32], [-18], [-48], [-10], [-42], [-40], [-30], [16], [0], [-26], [-10], [0], [-40], [20], [-10], [-56], [-32], [42], [0], [0], [-42], [-18], [60], [40], [-36], [8], [-24], [14], [-42], [0], [32], [56], [36], [48], [54], [-26], [16], [-10], [-26], [36], [-34], [32], [-2], [-26], [-56], [-20], [-18], [22], [6], [0], [30], [-10], [-68], [-10], [-82], [-68], [6], [-40], [-58], [-8], [-12], [-10], [58], [0], [48], [32], [-48], [62], [8], [-48], [-14], [46], [-48], [-42], [-18], [-8], [-6], [40], [-74], [-2], [0], [86], [64], [-72], [-26], [46], [80], [-36], [20], [50], [-44], [-58], [72], [-18], [0], [-34], [50], [-84], [72], [-18], [80], [48], [78], [-30], [-56], [-22], [-10], [40], [42], [54], [44], [48], [-24], [6], [-42], [-58], [-8], [-56], [-20], [0], [22], [54], [-90], [-72], [38], [-6], [-26], [-32], [54], [-84], [70], [-92], [-48], [30], [24], [-22], [-2], [-8], [-18], [-66], [8], [-40], [-62], [-24], [-82], [-34], [16], [60], [40], [-6], [14], [-32], [26], [36], [-56], [-32], [-82], [-56], [30], [-72], [56], [-26], [46], [-90], [94], [58], [-40], [2], [-88], [-88], [8], [78], [76], [-8], [-14], [-34], [28], [64], [-24], [-54], [40], [46], [-4], [-58], [54], [66], [48], [78], [-42], [-16], [-2], [18], [-32], [32], [6], [-90], [-12], [52], [58], [-66], [-16], [-80], [-10], [-56], [70], [30], [-8], [-16], [-98], [6], [-36], [-54], [-8], [80]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 40532396679889974, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1078.2.a.j', 'level': 1078, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 4, 5, 5, 6, 2, 3, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [11, 18, 19, 11, 12, 20, 17, 10], 'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1078, 1, [199, 981], [1, 1]], 'conrey_index': 1, 'cusp_dim': 153, 'dim': 35, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 33555510, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '1078.2.a', 'level': 1078, '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, 7, 11], 'level_radical': 154, 'mf_dim': 184, 'mf_new_dim': 35, 'num_forms': 24, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 35, 'sturm_bound': 336, 'trace_bound': 23, 'trace_display': [-1, 0, -2, 0], 'traces': [35, -1, 0, 35, -2, 4, 0, -1, 39, -6, -1, 0, 2, 0, 16, 35, 6, 3, 12, -2, 0, -1, 8, 4, 37, -2, 24, 0, 10, 24, 16, -1, 0, -2, 0, 39, -54, 8, -32, -6, -18, 0, -20, -1, -34, 16, -16, 0, 0, -23, 0, 2, -22, 16, -6, 0, -40, -30, -8, 16, 18, -8, 0, 35, -20, 4, -28, 6, 0, 0, 16, 3, -2, -22, 24, 12, 0, 24, -56, -2, 43, -10, 4, 0, -36, 12, -24, -1, -18, -6, 0, 8, -8, 8, 0, 4, -18, 0, -13, 37, -30, -16, -8, -2, 0, -6, 68, 24, 2, 6, -32, 0, -26, 16, 16, 10, 2, -12, 0, 24, 35, -26, 48, 16, 36, 0, 8, -1, 16, -44, -28, 0, 0, 28, 0, -2, -58, 16, 12, 0, -80, 8, 10, 39, 12, 14, 0, -54, -46, 20, -24, 8, 46, 0, -16, -32, 6, 48, 16, -6, 0, -9, -28, -18, -72, 0, -8, 0, 45, 12, -12, -20, 26, -16, 0, -1, -32, -10, 44, -34, -26, 0, -8, 16, 100, -8, 2, -16, 0, 64, -48, 0, -58, -34, 24, 0, 10, 3, -8, -23, -80, 6, 0, 0, -4, 32, 0, 2, 0, 0, 68, -22, -8, 12, -40, 16, 0, -38, -40, -6, 20, -56, -8, 0, 1, 30, 12, 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68, -18, 46, 0, -184, 48, 98, -48, 48, -8, 0, 28, 236, -32, -180, -80, 32, 0, -2, 154, -72, 16, -24, 8, 0, 16, -125, 84, -180, -42, -12, 0, 72, -1, 80, -4, -104, 32, 0, -32, -296, 18, 110, 96, -42, 0, -54, 116, -72, -120, 60, -28, 0, -24, 224, -42, -208, -8, 64, 0, -200, -88, 10, 204, -144, -36], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 638033
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '154.2.a.c', 'target_level': 154, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638034
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1078.2.a.j', 'target_level': 1078, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 638035
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1078.2.e.b', 'target_level': 1078, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638036
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1078.2.e.c', 'target_level': 1078, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638037
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1232.2.a.h', 'target_level': 1232, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 638038
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1386.2.a.b', 'target_level': 1386, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638039
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1694.2.a.c', 'target_level': 1694, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638040
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3850.2.a.f', 'target_level': 3850, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 638041
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3850.2.c.l', 'target_level': 3850, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 638042
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4928.2.a.n', 'target_level': 4928, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 638043
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4928.2.a.o', 'target_level': 4928, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 638044
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '8624.2.a.o', 'target_level': 8624, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 638045
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1078.2.a.j', 'source_level': 1078, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '9702.2.a.v', 'target_level': 9702, 'twist_class_label': '154.2.a.c', 'twist_class_level': 154, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1658150
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 2}
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id: 1658151
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 3}
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id: 1658152
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 5}
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id: 1658153
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 7}
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id: 1658154
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 11}
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id: 1658155
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 13}
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id: 1658156
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 17}
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id: 1658157
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 19}
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id: 1658158
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 23}
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id: 1658159
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 29}
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id: 1658160
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 31}
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id: 1658161
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 37}
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id: 1658162
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 41}
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id: 1658163
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 43}
-
id: 1658164
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 47}
-
id: 1658165
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 53}
-
id: 1658166
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 59}
-
id: 1658167
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 61}
-
id: 1658168
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 67}
-
id: 1658169
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 71}
-
id: 1658170
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 73}
-
id: 1658171
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 79}
-
id: 1658172
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 83}
-
id: 1658173
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 89}
-
id: 1658174
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 40532396679889974, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '1078.2.a.j', 'level': 1078, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 52368817
{'hecke_orbit_code': 40532396679889974, 'n': 1, 'trace_an': 1}
-
id: 52368818
{'hecke_orbit_code': 40532396679889974, 'n': 2, 'trace_an': 1}
-
id: 52368819
{'hecke_orbit_code': 40532396679889974, 'n': 3, 'trace_an': 0}
-
id: 52368820
{'hecke_orbit_code': 40532396679889974, 'n': 4, 'trace_an': 1}
-
id: 52368821
{'hecke_orbit_code': 40532396679889974, 'n': 5, 'trace_an': -2}
-
id: 52368822
{'hecke_orbit_code': 40532396679889974, 'n': 6, 'trace_an': 0}
-
id: 52368823
{'hecke_orbit_code': 40532396679889974, 'n': 7, 'trace_an': 0}
-
id: 52368824
{'hecke_orbit_code': 40532396679889974, 'n': 8, 'trace_an': 1}
-
id: 52368825
{'hecke_orbit_code': 40532396679889974, 'n': 9, 'trace_an': -3}
-
id: 52368826
{'hecke_orbit_code': 40532396679889974, 'n': 10, 'trace_an': -2}
-
id: 52368827
{'hecke_orbit_code': 40532396679889974, 'n': 11, 'trace_an': -1}
-
id: 52368828
{'hecke_orbit_code': 40532396679889974, 'n': 12, 'trace_an': 0}
-
id: 52368829
{'hecke_orbit_code': 40532396679889974, 'n': 13, 'trace_an': -2}
-
id: 52368830
{'hecke_orbit_code': 40532396679889974, 'n': 14, 'trace_an': 0}
-
id: 52368831
{'hecke_orbit_code': 40532396679889974, 'n': 15, 'trace_an': 0}
-
id: 52368832
{'hecke_orbit_code': 40532396679889974, 'n': 16, 'trace_an': 1}
-
id: 52368833
{'hecke_orbit_code': 40532396679889974, 'n': 17, 'trace_an': -2}
-
id: 52368834
{'hecke_orbit_code': 40532396679889974, 'n': 18, 'trace_an': -3}
-
id: 52368835
{'hecke_orbit_code': 40532396679889974, 'n': 19, 'trace_an': 0}
-
id: 52368836
{'hecke_orbit_code': 40532396679889974, 'n': 20, 'trace_an': -2}
-
id: 52368837
{'hecke_orbit_code': 40532396679889974, 'n': 21, 'trace_an': 0}
-
id: 52368838
{'hecke_orbit_code': 40532396679889974, 'n': 22, 'trace_an': -1}
-
id: 52368839
{'hecke_orbit_code': 40532396679889974, 'n': 23, 'trace_an': -8}
-
id: 52368840
{'hecke_orbit_code': 40532396679889974, 'n': 24, 'trace_an': 0}
-
id: 52368841
{'hecke_orbit_code': 40532396679889974, 'n': 25, 'trace_an': -1}
-
id: 52368842
{'hecke_orbit_code': 40532396679889974, 'n': 26, 'trace_an': -2}
-
id: 52368843
{'hecke_orbit_code': 40532396679889974, 'n': 27, 'trace_an': 0}
-
id: 52368844
{'hecke_orbit_code': 40532396679889974, 'n': 28, 'trace_an': 0}
-
id: 52368845
{'hecke_orbit_code': 40532396679889974, 'n': 29, 'trace_an': -2}
-
id: 52368846
{'hecke_orbit_code': 40532396679889974, 'n': 30, 'trace_an': 0}
-
id: 52368847
{'hecke_orbit_code': 40532396679889974, 'n': 31, 'trace_an': 8}
-
id: 52368848
{'hecke_orbit_code': 40532396679889974, 'n': 32, 'trace_an': 1}
-
id: 52368849
{'hecke_orbit_code': 40532396679889974, 'n': 33, 'trace_an': 0}
-
id: 52368850
{'hecke_orbit_code': 40532396679889974, 'n': 34, 'trace_an': -2}
-
id: 52368851
{'hecke_orbit_code': 40532396679889974, 'n': 35, 'trace_an': 0}
-
id: 52368852
{'hecke_orbit_code': 40532396679889974, 'n': 36, 'trace_an': -3}
-
id: 52368853
{'hecke_orbit_code': 40532396679889974, 'n': 37, 'trace_an': -2}
-
id: 52368854
{'hecke_orbit_code': 40532396679889974, 'n': 38, 'trace_an': 0}
-
id: 52368855
{'hecke_orbit_code': 40532396679889974, 'n': 39, 'trace_an': 0}
-
id: 52368856
{'hecke_orbit_code': 40532396679889974, 'n': 40, 'trace_an': -2}
-
id: 52368857
{'hecke_orbit_code': 40532396679889974, 'n': 41, 'trace_an': -10}
-
id: 52368858
{'hecke_orbit_code': 40532396679889974, 'n': 42, 'trace_an': 0}
-
id: 52368859
{'hecke_orbit_code': 40532396679889974, 'n': 43, 'trace_an': 4}
-
id: 52368860
{'hecke_orbit_code': 40532396679889974, 'n': 44, 'trace_an': -1}
-
id: 52368861
{'hecke_orbit_code': 40532396679889974, 'n': 45, 'trace_an': 6}
-
id: 52368862
{'hecke_orbit_code': 40532396679889974, 'n': 46, 'trace_an': -8}
-
id: 52368863
{'hecke_orbit_code': 40532396679889974, 'n': 47, 'trace_an': -8}
-
id: 52368864
{'hecke_orbit_code': 40532396679889974, 'n': 48, 'trace_an': 0}
-
id: 52368865
{'hecke_orbit_code': 40532396679889974, 'n': 49, 'trace_an': 0}
-
id: 52368866
{'hecke_orbit_code': 40532396679889974, 'n': 50, 'trace_an': -1}
-
id: 52368867
{'hecke_orbit_code': 40532396679889974, 'n': 51, 'trace_an': 0}
-
id: 52368868
{'hecke_orbit_code': 40532396679889974, 'n': 52, 'trace_an': -2}
-
id: 52368869
{'hecke_orbit_code': 40532396679889974, 'n': 53, 'trace_an': 6}
-
id: 52368870
{'hecke_orbit_code': 40532396679889974, 'n': 54, 'trace_an': 0}
-
id: 52368871
{'hecke_orbit_code': 40532396679889974, 'n': 55, 'trace_an': 2}
-
id: 52368872
{'hecke_orbit_code': 40532396679889974, 'n': 56, 'trace_an': 0}
-
id: 52368873
{'hecke_orbit_code': 40532396679889974, 'n': 57, 'trace_an': 0}
-
id: 52368874
{'hecke_orbit_code': 40532396679889974, 'n': 58, 'trace_an': -2}
-
id: 52368875
{'hecke_orbit_code': 40532396679889974, 'n': 59, 'trace_an': 0}
-
id: 52368876
{'hecke_orbit_code': 40532396679889974, 'n': 60, 'trace_an': 0}
-
id: 52368877
{'hecke_orbit_code': 40532396679889974, 'n': 61, 'trace_an': -10}
-
id: 52368878
{'hecke_orbit_code': 40532396679889974, 'n': 62, 'trace_an': 8}
-
id: 52368879
{'hecke_orbit_code': 40532396679889974, 'n': 63, 'trace_an': 0}
-
id: 52368880
{'hecke_orbit_code': 40532396679889974, 'n': 64, 'trace_an': 1}
-
id: 52368881
{'hecke_orbit_code': 40532396679889974, 'n': 65, 'trace_an': 4}
-
id: 52368882
{'hecke_orbit_code': 40532396679889974, 'n': 66, 'trace_an': 0}
-
id: 52368883
{'hecke_orbit_code': 40532396679889974, 'n': 67, 'trace_an': -12}
-
id: 52368884
{'hecke_orbit_code': 40532396679889974, 'n': 68, 'trace_an': -2}
-
id: 52368885
{'hecke_orbit_code': 40532396679889974, 'n': 69, 'trace_an': 0}
-
id: 52368886
{'hecke_orbit_code': 40532396679889974, 'n': 70, 'trace_an': 0}
-
id: 52368887
{'hecke_orbit_code': 40532396679889974, 'n': 71, 'trace_an': 16}
-
id: 52368888
{'hecke_orbit_code': 40532396679889974, 'n': 72, 'trace_an': -3}
-
id: 52368889
{'hecke_orbit_code': 40532396679889974, 'n': 73, 'trace_an': 14}
-
id: 52368890
{'hecke_orbit_code': 40532396679889974, 'n': 74, 'trace_an': -2}
-
id: 52368891
{'hecke_orbit_code': 40532396679889974, 'n': 75, 'trace_an': 0}
-
id: 52368892
{'hecke_orbit_code': 40532396679889974, 'n': 76, 'trace_an': 0}
-
id: 52368893
{'hecke_orbit_code': 40532396679889974, 'n': 77, 'trace_an': 0}
-
id: 52368894
{'hecke_orbit_code': 40532396679889974, 'n': 78, 'trace_an': 0}
-
id: 52368895
{'hecke_orbit_code': 40532396679889974, 'n': 79, 'trace_an': 0}
-
id: 52368896
{'hecke_orbit_code': 40532396679889974, 'n': 80, 'trace_an': -2}
-
id: 52368897
{'hecke_orbit_code': 40532396679889974, 'n': 81, 'trace_an': 9}
-
id: 52368898
{'hecke_orbit_code': 40532396679889974, 'n': 82, 'trace_an': -10}
-
id: 52368899
{'hecke_orbit_code': 40532396679889974, 'n': 83, 'trace_an': 0}
-
id: 52368900
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