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{'Nk2': 4284, 'analytic_conductor': 8.551978056479129, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [17, 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': [1071, 1, [596, 766, 190], [1, 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': [[2, [0, 1]], [11, [-5, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288296495, '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': '1071.2.a.c', 'level': 1071, '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': [3, 7, 17], 'level_radical': 357, 'minimal_twist': '357.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{4}-q^{5}+q^{7}+5q^{11}-5q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1071/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1071.2.a', 'trace_display': [0, 0, -1, 1], 'trace_hash': 2164031587655805599, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.904', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.650', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [1, 0, 0, -2, -1, 0, 1, 0, 0, 0, 5, 0, -5, 0, 0, 4, -1, 0, -5, 2, 0, 0, 1, 0, -4, 0, 0, -2, 6, 0, -6, 0, 0, 0, -1, 0, 4, 0, 0, 0, -7, 0, -7, -10, 0, 0, -6, 0, 1, 0, 0, 10, -6, 0, -5, 0, 0, 0, -14, 0, 0, 0, 0, -8, 5, 0, -12, 2, 0, 0, -4, 0, 6, 0, 0, 10, 5, 0, -6, -4, 0, 0, 6, 0, 1, 0, 0, 0, -12, 0, -5, -2, 0, 0, 5, 0, 8, 0, 0, 8, 4, 0, -7, 0, 0, 0, 9, 0, -16, 0, 0, 4, 15, 0, -1, -12, 0, 0, -1, 0, 14, 0, 0, 12, 9, 0, 19, 0, 0, 0, 15, 0, -5, 0, 0, 0, -2, 0, 18, 2, 0, 0, -25, 0, -6, 0, 0, -8, -10, 0, -16, 0, 0, 0, 6, 0, 7, 0, 0, 0, 1, 0, -2, 14, 0, 0, 25, 0, 12, 0, 0, 14, -21, 0, -4, 20, 0, 0, -18, 0, -2, 0, 0, 0, -4, 0, -5, 12, 0, 0, 18, 0, -14, 0, 0, -2, 11, 0, 4, 0, 0, 0, 6, 0, 7, 0, 0, -20, -25, 0, -6, 12, 0, 0, 7, 0, -6, 0, 0, 10, 5, 0, -13, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [-2], [-1], [0], [1], [0], [0], [0], [5], [0], [-5], [0], [0], [4], [-1], [0], [-5], [2], [0], [0], [1], [0], [-4], [0], [0], [-2], [6], [0], [-6], [0], [0], [0], [-1], [0], [4], [0], [0], [0], [-7], [0], [-7], [-10], [0], [0], [-6], [0], [1], [0], [0], [10], [-6], [0], [-5], [0], [0], [0], [-14], [0], [0], [0], [0], [-8], [5], [0], [-12], [2], [0], [0], [-4], [0], [6], [0], [0], [10], [5], [0], [-6], [-4], [0], [0], [6], [0], [1], [0], [0], [0], [-12], [0], [-5], [-2], [0], [0], [5], [0], [8], [0], [0], [8]], 'ap': [[0], [0], [-1], [1], [5], [-5], [-1], [-5], [1], [6], [-6], [4], [-7], [-7], [-6], [-6], [-14], [0], [-12], [-4], [6], [-6], [6], [-12], [8], [4], [-7], [9], [-16], [15], [19], [15], [-2], [18], [-10], [-16], [7], [-2], [25], [-21], [-18], [-2], [18], [-14], [11], [4], [-6], [-13], [-1], [6], [5], [-16], [-12], [-8], [-20], [32], [5], [15], [-2], [-32], [-22], [12], [-4], [0], [-28], [2], [35], [-14], [28], [9], [2], [0], [-20], [10], [20], [0], [8], [16], [33], [-31], [20], [-1], [-24], [19], [32], [30], [-6], [-35], [-22], [-24], [-6], [25], [-30], [-34], [-38], [-21], [44], [17], [-28], [-20], [16], [14], [30], [-40], [0], [-3], [-24], [14], [-14], [-2], [34], [43], [10], [10], [19], [-9], [-24], [18], [3], [-6], [-19], [14], [9], [-29], [16], [16], [-6], [-25], [-16], [-14], [-9], [-32], [42], [21], [-30], [5], [44], [28], [-16], [-19], [-22], [35], [44], [43], [6], [-13], [46], [-18], [-44], [-24], [-6], [26], [-5], [-13], [2], [21], [-5], [35], [10], [-46], [28], [16], [41], [-38], [34], [-21], [-44], [30], [-20], [46], [54], [-31], [-47], [-29], [31], [-1], [32], [-55], [-7], [11], [53], [28], [-30], [40], [-34], [2], [-18], [25], [-62], [-20], [14], [28], [-1], [-8], [-9], [-10], [-14], [-4], [-30], [-26], [-31], [12], [45], [-35], [12], [-66], [64], [-12], [29], [52], [-70], [-42], [62], [-28], [19], [-28], [5], [-12], [3], [12], [-55], [-16], [-60], [18], [-58], [-50], [-49], [-55], [-35], [16], [-9], [46], [4], [-74], [-16], [62], [-64], [-15], [-55], [48], [45], [-20], [3], [-5], [-9], [5], [-22], [-9], [21], [24], [17], [-30], [-12], [-12], [26], [-4], [28], [28], [63], [-66], [14], [-44], [-40], [-56], [-43], [47], [58], [4], [-36], [14], [68], [17], [-69], [-24], [-34], [-21], [-24], [-19], [-35], [12], [-56], [82], [-32], [54], [-2], [48], [-34], [-54], [-57], [80], [-21], [81], [-18], [-57], [20], [-21], [-48], [-32], [45], [-76], [37], [48], [0], [41], [20], [-34], [-42], [68], [-80], [-78], [60], [62], [43], [-5], [-12], [-29], [-62], [67], [-44], [60], [-38], [-86], [-54], [59], [6], [55], [-26], [14], [64], [-11], [68], [-39], [-58], [-10], [8], [57], [-31], [75], [74], [-23], [93], [-48], [15], [71], [-36], [77], [14], [-81], [5], [22], [-39], [32], [8], [74], [-1], [48], [12], [60], [-93], [30], [8], [21], [-80], [28], [-7], [81], [-39], [-20], [48], [44], [-68], [87], [-24], [-56], [-64], [31], [68], [19], [-58], [37], [-69], [12], [16], [-33], [-54], [57], [-55], [-58], [64], [-68], [-70], [69], [20], [-13], [-54], [32], [-80], [-90], [-32], [18], [0], [48], [-55], [-34], [-90], [-26], [-42], [-96], [49], [45], [-92], [-22], [-40], [-12], [33], [-30], [33], [-22], [27], [54], [-78], [2], [3], [90], [-88], [-64], [-32], [-99], [-35], [-45]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288296495, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1071.2.a.c', 'level': 1071, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [5, 5, 3, 3, 8, 3, 4, 9], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [6, 19, 17, 11, 9, 14, 13, 8], 'Nk2': 4284, 'analytic_conductor': 8.551978056479129, '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': [1071, 1, [596, 766, 190], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 137, 'dim': 40, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 33555503, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5], 'label': '1071.2.a', 'level': 1071, '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': [3, 7, 17], 'level_radical': 357, 'mf_dim': 152, 'mf_new_dim': 40, 'num_forms': 14, 'plus_dim': 15, 'prim_orbit_index': 1, 'relative_dim': 40, 'sturm_bound': 288, 'trace_bound': 7, 'trace_display': [-2, 0, 4, -2], 'traces': [40, -2, 0, 38, 4, 0, -2, 6, 0, 16, 4, 0, 4, 2, 0, 50, 0, 0, 4, 24, 0, -12, 8, 0, 28, 16, 0, -6, 12, 0, -20, 0, 0, 0, -4, 0, -24, 36, 0, 28, -12, 0, 24, 28, 0, -32, 0, 0, 40, -32, 0, -4, 4, 0, 12, -6, 0, -12, 0, 0, 4, -40, 0, 34, 40, 0, 0, 0, 0, 24, 8, 0, 4, 24, 0, 4, -8, 0, -12, 56, 0, 36, -4, 0, 0, -62, 0, 0, 0, 0, -8, -8, 0, -100, -44, 0, -44, -2, 0, -14, 44, 0, -4, -48, 0, 36, 52, 0, 8, 40, 0, -14, -44, 0, -64, -24, 0, 80, 10, 0, 56, -12, 0, -112, 72, 0, -48, 82, 0, 20, 40, 0, 0, -72, 0, 0, -44, 0, 68, -6, 0, -68, -48, 0, -12, -36, 0, -8, -20, 0, 0, 36, 0, -24, 8, 0, 56, -32, 0, -36, -20, 0, -36, 68, 0, -20, -28, 0, 80, 12, 0, -24, 12, 0, -22, -4, 0, 32, -72, 0, 112, 4, 0, -148, 16, 0, -8, 40, 0, -84, -48, 0, -20, -112, 0, 38, 92, 0, -44, -66, 0, -128, 12, 0, 160, 32, 0, -48, -64, 0, -112, -98, 0, -60, -48, 0, -4, -32, 0, -100, 12, 0, -156, -30, 0, -52, -52, 0, 40, -84, 0, -52, -16, 0, 28, -92, 0, -4, 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12, 0, -72, 294, 0, 34, 48, 0, 116, 132, 0, -272, -124, 0, 408, 24, 0, -168, 20, 0, 60, -56, 0, -56, -260, 0, -336, -188, 0, 88, 128, 0, -12, 224, 0, -56], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 636733
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1071.2.a.c', 'source_level': 1071, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '357.2.a.c', 'target_level': 357, 'twist_class_label': '357.2.a.c', 'twist_class_level': 357, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 636734
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1071.2.a.c', 'source_level': 1071, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1071.2.a.c', 'target_level': 1071, 'twist_class_label': '357.2.a.c', 'twist_class_level': 357, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 636735
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1071.2.a.c', 'source_level': 1071, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2499.2.a.g', 'target_level': 2499, 'twist_class_label': '357.2.a.c', 'twist_class_level': 357, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 636736
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1071.2.a.c', 'source_level': 1071, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '5712.2.a.u', 'target_level': 5712, 'twist_class_label': '357.2.a.c', 'twist_class_level': 357, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 636737
{'conductor': 51, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1071.2.a.c', 'source_level': 1071, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '6069.2.a.c', 'target_level': 6069, 'twist_class_label': '357.2.a.c', 'twist_class_level': 357, 'twisting_char_label': '51.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 636738
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1071.2.a.c', 'source_level': 1071, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '7497.2.a.i', 'target_level': 7497, 'twist_class_label': '357.2.a.c', 'twist_class_level': 357, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 636739
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1071.2.a.c', 'source_level': 1071, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '8925.2.a.o', 'target_level': 8925, 'twist_class_label': '357.2.a.c', 'twist_class_level': 357, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1652400
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 2}
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id: 1652401
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 3}
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id: 1652402
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 5}
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id: 1652403
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 7}
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id: 1652404
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 11}
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id: 1652405
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 13}
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id: 1652406
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 17}
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id: 1652407
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 19}
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id: 1652408
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 23}
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id: 1652409
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 29}
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id: 1652410
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 31}
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id: 1652411
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 37}
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id: 1652412
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 41}
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id: 1652413
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 43}
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id: 1652414
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 47}
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id: 1652415
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 53}
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id: 1652416
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 59}
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id: 1652417
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 61}
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id: 1652418
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 67}
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id: 1652419
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 71}
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id: 1652420
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 73}
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id: 1652421
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 79}
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id: 1652422
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 83}
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id: 1652423
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 89}
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id: 1652424
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288296495, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '1071.2.a.c', 'level': 1071, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 26232127
{'hecke_orbit_code': 9007199288296495, 'n': 1, 'trace_an': 1}
-
id: 26232128
{'hecke_orbit_code': 9007199288296495, 'n': 2, 'trace_an': 0}
-
id: 26232129
{'hecke_orbit_code': 9007199288296495, 'n': 3, 'trace_an': 0}
-
id: 26232130
{'hecke_orbit_code': 9007199288296495, 'n': 4, 'trace_an': -2}
-
id: 26232131
{'hecke_orbit_code': 9007199288296495, 'n': 5, 'trace_an': -1}
-
id: 26232132
{'hecke_orbit_code': 9007199288296495, 'n': 6, 'trace_an': 0}
-
id: 26232133
{'hecke_orbit_code': 9007199288296495, 'n': 7, 'trace_an': 1}
-
id: 26232134
{'hecke_orbit_code': 9007199288296495, 'n': 8, 'trace_an': 0}
-
id: 26232135
{'hecke_orbit_code': 9007199288296495, 'n': 9, 'trace_an': 0}
-
id: 26232136
{'hecke_orbit_code': 9007199288296495, 'n': 10, 'trace_an': 0}
-
id: 26232137
{'hecke_orbit_code': 9007199288296495, 'n': 11, 'trace_an': 5}
-
id: 26232138
{'hecke_orbit_code': 9007199288296495, 'n': 12, 'trace_an': 0}
-
id: 26232139
{'hecke_orbit_code': 9007199288296495, 'n': 13, 'trace_an': -5}
-
id: 26232140
{'hecke_orbit_code': 9007199288296495, 'n': 14, 'trace_an': 0}
-
id: 26232141
{'hecke_orbit_code': 9007199288296495, 'n': 15, 'trace_an': 0}
-
id: 26232142
{'hecke_orbit_code': 9007199288296495, 'n': 16, 'trace_an': 4}
-
id: 26232143
{'hecke_orbit_code': 9007199288296495, 'n': 17, 'trace_an': -1}
-
id: 26232144
{'hecke_orbit_code': 9007199288296495, 'n': 18, 'trace_an': 0}
-
id: 26232145
{'hecke_orbit_code': 9007199288296495, 'n': 19, 'trace_an': -5}
-
id: 26232146
{'hecke_orbit_code': 9007199288296495, 'n': 20, 'trace_an': 2}
-
id: 26232147
{'hecke_orbit_code': 9007199288296495, 'n': 21, 'trace_an': 0}
-
id: 26232148
{'hecke_orbit_code': 9007199288296495, 'n': 22, 'trace_an': 0}
-
id: 26232149
{'hecke_orbit_code': 9007199288296495, 'n': 23, 'trace_an': 1}
-
id: 26232150
{'hecke_orbit_code': 9007199288296495, 'n': 24, 'trace_an': 0}
-
id: 26232151
{'hecke_orbit_code': 9007199288296495, 'n': 25, 'trace_an': -4}
-
id: 26232152
{'hecke_orbit_code': 9007199288296495, 'n': 26, 'trace_an': 0}
-
id: 26232153
{'hecke_orbit_code': 9007199288296495, 'n': 27, 'trace_an': 0}
-
id: 26232154
{'hecke_orbit_code': 9007199288296495, 'n': 28, 'trace_an': -2}
-
id: 26232155
{'hecke_orbit_code': 9007199288296495, 'n': 29, 'trace_an': 6}
-
id: 26232156
{'hecke_orbit_code': 9007199288296495, 'n': 30, 'trace_an': 0}
-
id: 26232157
{'hecke_orbit_code': 9007199288296495, 'n': 31, 'trace_an': -6}
-
id: 26232158
{'hecke_orbit_code': 9007199288296495, 'n': 32, 'trace_an': 0}
-
id: 26232159
{'hecke_orbit_code': 9007199288296495, 'n': 33, 'trace_an': 0}
-
id: 26232160
{'hecke_orbit_code': 9007199288296495, 'n': 34, 'trace_an': 0}
-
id: 26232161
{'hecke_orbit_code': 9007199288296495, 'n': 35, 'trace_an': -1}
-
id: 26232162
{'hecke_orbit_code': 9007199288296495, 'n': 36, 'trace_an': 0}
-
id: 26232163
{'hecke_orbit_code': 9007199288296495, 'n': 37, 'trace_an': 4}
-
id: 26232164
{'hecke_orbit_code': 9007199288296495, 'n': 38, 'trace_an': 0}
-
id: 26232165
{'hecke_orbit_code': 9007199288296495, 'n': 39, 'trace_an': 0}
-
id: 26232166
{'hecke_orbit_code': 9007199288296495, 'n': 40, 'trace_an': 0}
-
id: 26232167
{'hecke_orbit_code': 9007199288296495, 'n': 41, 'trace_an': -7}
-
id: 26232168
{'hecke_orbit_code': 9007199288296495, 'n': 42, 'trace_an': 0}
-
id: 26232169
{'hecke_orbit_code': 9007199288296495, 'n': 43, 'trace_an': -7}
-
id: 26232170
{'hecke_orbit_code': 9007199288296495, 'n': 44, 'trace_an': -10}
-
id: 26232171
{'hecke_orbit_code': 9007199288296495, 'n': 45, 'trace_an': 0}
-
id: 26232172
{'hecke_orbit_code': 9007199288296495, 'n': 46, 'trace_an': 0}
-
id: 26232173
{'hecke_orbit_code': 9007199288296495, 'n': 47, 'trace_an': -6}
-
id: 26232174
{'hecke_orbit_code': 9007199288296495, 'n': 48, 'trace_an': 0}
-
id: 26232175
{'hecke_orbit_code': 9007199288296495, 'n': 49, 'trace_an': 1}
-
id: 26232176
{'hecke_orbit_code': 9007199288296495, 'n': 50, 'trace_an': 0}
-
id: 26232177
{'hecke_orbit_code': 9007199288296495, 'n': 51, 'trace_an': 0}
-
id: 26232178
{'hecke_orbit_code': 9007199288296495, 'n': 52, 'trace_an': 10}
-
id: 26232179
{'hecke_orbit_code': 9007199288296495, 'n': 53, 'trace_an': -6}
-
id: 26232180
{'hecke_orbit_code': 9007199288296495, 'n': 54, 'trace_an': 0}
-
id: 26232181
{'hecke_orbit_code': 9007199288296495, 'n': 55, 'trace_an': -5}
-
id: 26232182
{'hecke_orbit_code': 9007199288296495, 'n': 56, 'trace_an': 0}
-
id: 26232183
{'hecke_orbit_code': 9007199288296495, 'n': 57, 'trace_an': 0}
-
id: 26232184
{'hecke_orbit_code': 9007199288296495, 'n': 58, 'trace_an': 0}
-
id: 26232185
{'hecke_orbit_code': 9007199288296495, 'n': 59, 'trace_an': -14}
-
id: 26232186
{'hecke_orbit_code': 9007199288296495, 'n': 60, 'trace_an': 0}
-
id: 26232187
{'hecke_orbit_code': 9007199288296495, 'n': 61, 'trace_an': 0}
-
id: 26232188
{'hecke_orbit_code': 9007199288296495, 'n': 62, 'trace_an': 0}
-
id: 26232189
{'hecke_orbit_code': 9007199288296495, 'n': 63, 'trace_an': 0}
-
id: 26232190
{'hecke_orbit_code': 9007199288296495, 'n': 64, 'trace_an': -8}
-
id: 26232191
{'hecke_orbit_code': 9007199288296495, 'n': 65, 'trace_an': 5}
-
id: 26232192
{'hecke_orbit_code': 9007199288296495, 'n': 66, 'trace_an': 0}
-
id: 26232193
{'hecke_orbit_code': 9007199288296495, 'n': 67, 'trace_an': -12}
-
id: 26232194
{'hecke_orbit_code': 9007199288296495, 'n': 68, 'trace_an': 2}
-
id: 26232195
{'hecke_orbit_code': 9007199288296495, 'n': 69, 'trace_an': 0}
-
id: 26232196
{'hecke_orbit_code': 9007199288296495, 'n': 70, 'trace_an': 0}
-
id: 26232197
{'hecke_orbit_code': 9007199288296495, 'n': 71, 'trace_an': -4}
-
id: 26232198
{'hecke_orbit_code': 9007199288296495, 'n': 72, 'trace_an': 0}
-
id: 26232199
{'hecke_orbit_code': 9007199288296495, 'n': 73, 'trace_an': 6}
-
id: 26232200
{'hecke_orbit_code': 9007199288296495, 'n': 74, 'trace_an': 0}
-
id: 26232201
{'hecke_orbit_code': 9007199288296495, 'n': 75, 'trace_an': 0}
-
id: 26232202
{'hecke_orbit_code': 9007199288296495, 'n': 76, 'trace_an': 10}
-
id: 26232203
{'hecke_orbit_code': 9007199288296495, 'n': 77, 'trace_an': 5}
-
id: 26232204
{'hecke_orbit_code': 9007199288296495, 'n': 78, 'trace_an': 0}
-
id: 26232205
{'hecke_orbit_code': 9007199288296495, 'n': 79, 'trace_an': -6}
-
id: 26232206
{'hecke_orbit_code': 9007199288296495, 'n': 80, 'trace_an': -4}
-
id: 26232207
{'hecke_orbit_code': 9007199288296495, 'n': 81, 'trace_an': 0}
-
id: 26232208
{'hecke_orbit_code': 9007199288296495, 'n': 82, 'trace_an': 0}
-
id: 26232209
{'hecke_orbit_code': 9007199288296495, 'n': 83, 'trace_an': 6}
-
id: 26232210
{'hecke_orbit_code': 9007199288296495, 'n': 84, 'trace_an': 0}
-
id: 26232211
{'hecke_orbit_code': 9007199288296495, 'n': 85, 'trace_an': 1}
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