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{'Nk2': 6760, 'analytic_conductor': 13.494717941596384, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [13, 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': [1690, 1, [677, 171], [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, [2, 1]], [7, [-1, 1]], [11, [3, 1]], [31, [-4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797779098, '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': '1690.2.a.g', 'level': 1690, '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, 5, 13], 'level_radical': 130, 'minimal_twist': '130.2.e.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}+q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/1690/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1690.2.a', 'trace_display': [1, -2, 1, 1], 'trace_hash': 1847143655235904554, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.957', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.903', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.787', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, 'traces': [1, 1, -2, 1, 1, -2, 1, 1, 1, 1, -3, -2, 0, 1, -2, 1, -6, 1, -5, 1, -2, -3, 0, -2, 1, 0, 4, 1, 0, -2, 4, 1, 6, -6, 1, 1, -11, -5, 0, 1, -6, -2, 2, -3, 1, 0, 3, -2, -6, 1, 12, 0, -9, 4, -3, 1, 10, 0, 0, -2, 8, 4, 1, 1, 0, 6, 16, -6, 0, 1, -6, 1, -14, -11, -2, -5, -3, 0, -16, 1, -11, -6, 6, -2, -6, 2, 0, -3, -9, 1, 0, 0, -8, 3, -5, -2, 10, -6, -3, 1, -6, 12, 5, 0, -2, -9, -12, 4, -2, -3, 22, 1, -12, 10, 0, 0, 0, 0, -6, -2, -2, 8, 12, 4, 1, 1, -1, 1, -4, 0, -9, 6, -5, 16, 4, -6, -6, 0, -19, 1, -6, -6, 0, 1, 0, -14, 12, -11, 18, -2, 16, -5, -6, -3, 4, 0, 17, -16, 18, 1, 0, -11, -2, -6, 6, 6, 15, -2, 0, -6, -5, 2, 15, 0, 1, -3, 0, -9, -24, 1, 8, 0, -16, 0, -11, -8, 18, 3, 4, -5, 0, -2, 4, 10, 0, -6, 27, -3, -10, 1, -32, -6, 0, 12, -6, 5, 0, 0, 15, -2, 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84, -8, -18, -12, 121, -57, 78, -2], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [-2], [1], [1], [-2], [1], [1], [1], [1], [-3], [-2], [0], [1], [-2], [1], [-6], [1], [-5], [1], [-2], [-3], [0], [-2], [1], [0], [4], [1], [0], [-2], [4], [1], [6], [-6], [1], [1], [-11], [-5], [0], [1], [-6], [-2], [2], [-3], [1], [0], [3], [-2], [-6], [1], [12], [0], [-9], [4], [-3], [1], [10], [0], [0], [-2], [8], [4], [1], [1], [0], [6], [16], [-6], [0], [1], [-6], [1], [-14], [-11], [-2], [-5], [-3], [0], [-16], [1], [-11], [-6], [6], [-2], [-6], [2], [0], [-3], [-9], [1], [0], [0], [-8], [3], [-5], [-2], [10], [-6], [-3], [1]], 'ap': [[1], [-2], [1], [1], [-3], [0], [-6], [-5], [0], [0], [4], [-11], [-6], [2], [3], [-9], [0], [8], [16], [-6], [-14], [-16], [6], [-9], [10], [-6], [5], [-12], [-2], [-12], [-1], [-9], [-6], [-19], [18], [16], [17], [-2], [15], [15], [-24], [8], [0], [4], [27], [-10], [23], [19], [24], [4], [-24], [0], [-23], [-15], [12], [9], [6], [-20], [-1], [6], [14], [-9], [-2], [30], [14], [-15], [-20], [-16], [6], [-2], [-6], [6], [32], [14], [19], [0], [-30], [13], [15], [-5], [-36], [10], [-30], [-16], [20], [-18], [-9], [4], [42], [-8], [-12], [30], [19], [27], [4], [9], [-6], [-27], [14], [-20], [-34], [-21], [-36], [9], [17], [-32], [6], [-24], [-18], [-19], [-13], [13], [-18], [1], [28], [-9], [-2], [-9], [-27], [12], [4], [20], [-18], [6], [13], [6], [10], [0], [29], [25], [7], [-12], [-40], [23], [3], [34], [-39], [22], [42], [-18], [49], [-36], [-43], [-36], [-40], [24], [46], [-12], [-31], [-36], [10], [-15], [-52], [-27], [8], [0], [-34], [-42], [50], [0], [-48], [24], [-5], [33], [0], [-39], [-22], [41], [-47], [54], [24], [-14], [0], [-26], [-34], [21], [28], [6], [20], [38], [-32], [-39], [23], [0], [27], [-24], [-7], [4], [-5], [-24], [-16], [12], [47], [24], [-66], [-36], [22], [-19], [36], [-48], [54], [-28], [22], [-7], [15], [-18], [-56], [24], [-45], [-25], [2], [-48], [23], [-42], [6], [-35], [-4], [-27], [-9], [3], [50], [-50], [-51], [-8], [0], [-4], [-36], [24], [8], [27], [41], [35], [58], [-3], [44], [27], [22], [-54], [-57], [60], [-66], [-28], [-1], [-74], [-48], [-18], [16], [-39], [-35], [-21], [34], [-3], [75], [14], [15], [-57], [68], [46], [75], [-20], [29], [6], [-44], [-34], [18], [32], [-66], [-51], [-50], [-6], [-40], [58], [10], [74], [-4], [4], [-30], [28], [22], [60], [81], [4], [-72], [28], [16], [24], [-70], [-57], [34], [39], [18], [-42], [24], [69], [-46], [-66], [56], [9], [-12], [-38], [-76], [42], [-52], [12], [-76], [-50], [0], [-64], [18], [-7], [-9], [-36], [21], [-76], [15], [65], [36], [54], [16], [6], [8], [22], [66], [16], [-72], [50], [76], [64], [-51], [-54], [-50], [-87], [26], [-66], [4], [-90], [34], [42], [31], [-1], [7], [12], [-12], [26], [-27], [-15], [-40], [46], [-72], [-27], [85], [-38], [66], [17], [2], [6], [-42], [-45], [-24], [9], [-65], [-21], [0], [27], [-94], [-64], [54], [-5], [-82], [-72], [-7], [0], [90], [32], [14], [3], [-30], [10], [81], [26], [-12], [96], [-65], [-12], [-23], [-75], [10], [-10], [88], [-72], [-35], [27], [27], [14], [-6], [14], [-26], [90], [-76], [-24], [-2], [-6], [-8], [60], [0], [8], [-62], [-93], [4], [-75], [56], [27], [42], [-49], [32], [102], [-30], [-1], [54], [72], [30], [-77], [-63], [87], [28], [3], [42], [57], [7], [78]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797779098, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1690.2.a.g', 'level': 1690, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [9, 5, 8, 5, 8, 5, 2, 11], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 7, 7, 7, 7, 7, 7, 7], 'ALdims_old': [18, 29, 25, 23, 22, 27, 28, 20], 'Nk2': 6760, 'analytic_conductor': 13.494717941596384, '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': [1690, 1, [677, 171], [1, 1]], 'conrey_index': 1, 'cusp_dim': 245, 'dim': 53, 'eis_dim': 55, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 31], 'hecke_orbit_code': 33556122, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6, 6], 'label': '1690.2.a', 'level': 1690, '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, 5, 13], 'level_radical': 130, 'mf_dim': 300, 'mf_new_dim': 53, 'num_forms': 23, 'plus_dim': 21, 'prim_orbit_index': 1, 'relative_dim': 53, 'sturm_bound': 546, 'trace_bound': 7, 'trace_display': [-1, 0, -1, 8], 'traces': [53, -1, 0, 53, -1, -4, 8, -1, 57, 1, 8, 0, 0, 4, 4, 53, 6, 3, 0, -1, 0, 0, -8, -4, 53, 0, 0, 8, 10, 0, 8, -1, -8, -10, 0, 57, -6, 8, 0, 1, -14, 16, 8, 8, 3, 4, 16, 0, 57, -1, -8, 0, -10, 8, 12, 4, -8, -6, -24, 4, 10, 16, 8, 53, 0, 24, 12, 6, 16, -8, 8, 3, -10, 6, 0, 0, -24, 0, 32, -1, 77, -18, -12, 0, 6, 12, -8, 0, 10, 13, 0, -8, 16, 4, 12, -4, -2, 7, 8, 53, -6, 8, 48, 0, -8, -2, -16, 0, 18, -8, 8, 8, 30, 0, 4, 10, 0, 8, -16, 0, 85, 2, -32, 8, -1, 20, -168, -1, -176, 0, 16, -8, -152, 12, -8, -10, 30, -24, -176, 0, 0, 24, 0, 57, 10, -18, -208, -6, -14, -4, 24, 8, 30, 16, 0, 0, -178, 8, 24, 1, 48, -9, -36, -14, -8, 12, -24, 16, 0, -6, -32, 8, 38, 8, 8, 8, -8, 6, 0, 3, 2, 0, -184, 4, -2, 40, -32, 16, 0, 16, 40, 0, -34, 6, 0, 57, 26, 40, -192, -1, 16, -14, -16, -8, 14, 12, 0, 0, 48, 0, -8, -10, -32, 12, -12, 8, -200, 22, -40, 12, 0, 8, 32, 4, 57, 6, -4, -8, -14, 20, 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-244, 40, 36, -168, 0, 8, -24, 56, 126, 22, 0, -24, 80, 80, 112, 4, 261, 0, -156, -6, 26, -116, -24, 43, -48, 30, 160, 40, -96, 52, 0, 10, -18, 64, 88, 7, 10, -44, 88, 16, 54, 36, 256, 0, -180, -8, -80, 16, 56, 64, -8, 0, -114, 32, -16, 1], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 789130
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '130.2.e.b', 'target_level': 130, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 789131
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '650.2.e.a', 'target_level': 650, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 789132
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '650.2.o.b', 'target_level': 650, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 789133
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1040.2.q.c', 'target_level': 1040, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 789134
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1170.2.i.f', 'target_level': 1170, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 789135
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1690.2.a.a', 'target_level': 1690, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 789136
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1690.2.a.g', 'target_level': 1690, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 789137
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1690.2.d.a', 'target_level': 1690, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 789138
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1690.2.e.e', 'target_level': 1690, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 789139
{'conductor': 13, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1690.2.l.i', 'target_level': 1690, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 789140
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '8450.2.a.k', 'target_level': 8450, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 789141
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1690.2.a.g', 'source_level': 1690, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '8450.2.a.w', 'target_level': 8450, 'twist_class_label': '130.2.e.b', 'twist_class_level': 130, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2132750
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 2}
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id: 2132751
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 3}
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id: 2132752
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 5}
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id: 2132753
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 7}
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id: 2132754
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 11}
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id: 2132755
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 13}
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id: 2132756
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 17}
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id: 2132757
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 19}
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id: 2132758
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 23}
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id: 2132759
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 29}
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id: 2132760
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 31}
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id: 2132761
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 37}
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id: 2132762
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 41}
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id: 2132763
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 43}
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id: 2132764
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 47}
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id: 2132765
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 53}
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id: 2132766
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 59}
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id: 2132767
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 61}
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id: 2132768
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 67}
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id: 2132769
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 71}
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id: 2132770
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 73}
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id: 2132771
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 79}
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id: 2132772
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 83}
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id: 2132773
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 89}
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id: 2132774
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 27021597797779098, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '1690.2.a.g', 'level': 1690, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 45216025
{'hecke_orbit_code': 27021597797779098, 'n': 1, 'trace_an': 1}
-
id: 45216026
{'hecke_orbit_code': 27021597797779098, 'n': 2, 'trace_an': 1}
-
id: 45216027
{'hecke_orbit_code': 27021597797779098, 'n': 3, 'trace_an': -2}
-
id: 45216028
{'hecke_orbit_code': 27021597797779098, 'n': 4, 'trace_an': 1}
-
id: 45216029
{'hecke_orbit_code': 27021597797779098, 'n': 5, 'trace_an': 1}
-
id: 45216030
{'hecke_orbit_code': 27021597797779098, 'n': 6, 'trace_an': -2}
-
id: 45216031
{'hecke_orbit_code': 27021597797779098, 'n': 7, 'trace_an': 1}
-
id: 45216032
{'hecke_orbit_code': 27021597797779098, 'n': 8, 'trace_an': 1}
-
id: 45216033
{'hecke_orbit_code': 27021597797779098, 'n': 9, 'trace_an': 1}
-
id: 45216034
{'hecke_orbit_code': 27021597797779098, 'n': 10, 'trace_an': 1}
-
id: 45216035
{'hecke_orbit_code': 27021597797779098, 'n': 11, 'trace_an': -3}
-
id: 45216036
{'hecke_orbit_code': 27021597797779098, 'n': 12, 'trace_an': -2}
-
id: 45216037
{'hecke_orbit_code': 27021597797779098, 'n': 13, 'trace_an': 0}
-
id: 45216038
{'hecke_orbit_code': 27021597797779098, 'n': 14, 'trace_an': 1}
-
id: 45216039
{'hecke_orbit_code': 27021597797779098, 'n': 15, 'trace_an': -2}
-
id: 45216040
{'hecke_orbit_code': 27021597797779098, 'n': 16, 'trace_an': 1}
-
id: 45216041
{'hecke_orbit_code': 27021597797779098, 'n': 17, 'trace_an': -6}
-
id: 45216042
{'hecke_orbit_code': 27021597797779098, 'n': 18, 'trace_an': 1}
-
id: 45216043
{'hecke_orbit_code': 27021597797779098, 'n': 19, 'trace_an': -5}
-
id: 45216044
{'hecke_orbit_code': 27021597797779098, 'n': 20, 'trace_an': 1}
-
id: 45216045
{'hecke_orbit_code': 27021597797779098, 'n': 21, 'trace_an': -2}
-
id: 45216046
{'hecke_orbit_code': 27021597797779098, 'n': 22, 'trace_an': -3}
-
id: 45216047
{'hecke_orbit_code': 27021597797779098, 'n': 23, 'trace_an': 0}
-
id: 45216048
{'hecke_orbit_code': 27021597797779098, 'n': 24, 'trace_an': -2}
-
id: 45216049
{'hecke_orbit_code': 27021597797779098, 'n': 25, 'trace_an': 1}
-
id: 45216050
{'hecke_orbit_code': 27021597797779098, 'n': 26, 'trace_an': 0}
-
id: 45216051
{'hecke_orbit_code': 27021597797779098, 'n': 27, 'trace_an': 4}
-
id: 45216052
{'hecke_orbit_code': 27021597797779098, 'n': 28, 'trace_an': 1}
-
id: 45216053
{'hecke_orbit_code': 27021597797779098, 'n': 29, 'trace_an': 0}
-
id: 45216054
{'hecke_orbit_code': 27021597797779098, 'n': 30, 'trace_an': -2}
-
id: 45216055
{'hecke_orbit_code': 27021597797779098, 'n': 31, 'trace_an': 4}
-
id: 45216056
{'hecke_orbit_code': 27021597797779098, 'n': 32, 'trace_an': 1}
-
id: 45216057
{'hecke_orbit_code': 27021597797779098, 'n': 33, 'trace_an': 6}
-
id: 45216058
{'hecke_orbit_code': 27021597797779098, 'n': 34, 'trace_an': -6}
-
id: 45216059
{'hecke_orbit_code': 27021597797779098, 'n': 35, 'trace_an': 1}
-
id: 45216060
{'hecke_orbit_code': 27021597797779098, 'n': 36, 'trace_an': 1}
-
id: 45216061
{'hecke_orbit_code': 27021597797779098, 'n': 37, 'trace_an': -11}
-
id: 45216062
{'hecke_orbit_code': 27021597797779098, 'n': 38, 'trace_an': -5}
-
id: 45216063
{'hecke_orbit_code': 27021597797779098, 'n': 39, 'trace_an': 0}
-
id: 45216064
{'hecke_orbit_code': 27021597797779098, 'n': 40, 'trace_an': 1}
-
id: 45216065
{'hecke_orbit_code': 27021597797779098, 'n': 41, 'trace_an': -6}
-
id: 45216066
{'hecke_orbit_code': 27021597797779098, 'n': 42, 'trace_an': -2}
-
id: 45216067
{'hecke_orbit_code': 27021597797779098, 'n': 43, 'trace_an': 2}
-
id: 45216068
{'hecke_orbit_code': 27021597797779098, 'n': 44, 'trace_an': -3}
-
id: 45216069
{'hecke_orbit_code': 27021597797779098, 'n': 45, 'trace_an': 1}
-
id: 45216070
{'hecke_orbit_code': 27021597797779098, 'n': 46, 'trace_an': 0}
-
id: 45216071
{'hecke_orbit_code': 27021597797779098, 'n': 47, 'trace_an': 3}
-
id: 45216072
{'hecke_orbit_code': 27021597797779098, 'n': 48, 'trace_an': -2}
-
id: 45216073
{'hecke_orbit_code': 27021597797779098, 'n': 49, 'trace_an': -6}
-
id: 45216074
{'hecke_orbit_code': 27021597797779098, 'n': 50, 'trace_an': 1}
-
id: 45216075
{'hecke_orbit_code': 27021597797779098, 'n': 51, 'trace_an': 12}
-
id: 45216076
{'hecke_orbit_code': 27021597797779098, 'n': 52, 'trace_an': 0}
-
id: 45216077
{'hecke_orbit_code': 27021597797779098, 'n': 53, 'trace_an': -9}
-
id: 45216078
{'hecke_orbit_code': 27021597797779098, 'n': 54, 'trace_an': 4}
-
id: 45216079
{'hecke_orbit_code': 27021597797779098, 'n': 55, 'trace_an': -3}
-
id: 45216080
{'hecke_orbit_code': 27021597797779098, 'n': 56, 'trace_an': 1}
-
id: 45216081
{'hecke_orbit_code': 27021597797779098, 'n': 57, 'trace_an': 10}
-
id: 45216082
{'hecke_orbit_code': 27021597797779098, 'n': 58, 'trace_an': 0}
-
id: 45216083
{'hecke_orbit_code': 27021597797779098, 'n': 59, 'trace_an': 0}
-
id: 45216084
{'hecke_orbit_code': 27021597797779098, 'n': 60, 'trace_an': -2}
-
id: 45216085
{'hecke_orbit_code': 27021597797779098, 'n': 61, 'trace_an': 8}
-
id: 45216086
{'hecke_orbit_code': 27021597797779098, 'n': 62, 'trace_an': 4}
-
id: 45216087
{'hecke_orbit_code': 27021597797779098, 'n': 63, 'trace_an': 1}
-
id: 45216088
{'hecke_orbit_code': 27021597797779098, 'n': 64, 'trace_an': 1}
-
id: 45216089
{'hecke_orbit_code': 27021597797779098, 'n': 65, 'trace_an': 0}
-
id: 45216090
{'hecke_orbit_code': 27021597797779098, 'n': 66, 'trace_an': 6}
-
id: 45216091
{'hecke_orbit_code': 27021597797779098, 'n': 67, 'trace_an': 16}
-
id: 45216092
{'hecke_orbit_code': 27021597797779098, 'n': 68, 'trace_an': -6}
-
id: 45216093
{'hecke_orbit_code': 27021597797779098, 'n': 69, 'trace_an': 0}
-
id: 45216094
{'hecke_orbit_code': 27021597797779098, 'n': 70, 'trace_an': 1}
-
id: 45216095
{'hecke_orbit_code': 27021597797779098, 'n': 71, 'trace_an': -6}
-
id: 45216096
{'hecke_orbit_code': 27021597797779098, 'n': 72, 'trace_an': 1}
-
id: 45216097
{'hecke_orbit_code': 27021597797779098, 'n': 73, 'trace_an': -14}
-
id: 45216098
{'hecke_orbit_code': 27021597797779098, 'n': 74, 'trace_an': -11}
-
id: 45216099
{'hecke_orbit_code': 27021597797779098, 'n': 75, 'trace_an': -2}
-
id: 45216100
{'hecke_orbit_code': 27021597797779098, 'n': 76, 'trace_an': -5}
-
id: 45216101
{'hecke_orbit_code': 27021597797779098, 'n': 77, 'trace_an': -3}
-
id: 45216102
{'hecke_orbit_code': 27021597797779098, 'n': 78, 'trace_an': 0}
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id: 45216103
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