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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1], [7, -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': [1050, 1, [701, 127, 451], [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': [[11, [4, 1]], [13, [-2, 1]], [17, [2, 1]], [19, [-4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288296474, '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': '1050.2.a.c', 'level': 1050, '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, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '210.2.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/1050/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.2.a', 'trace_display': [-1, -1, 0, 1], 'trace_hash': 1840108885404238702, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [-1], [1], [0], [1], [1], [-1], [1], [0], [-4], [-1], [2], [-1], [0], [1], [-2], [-1], [4], [0], [-1], [4], [8], [1], [0], [-2], [-1], [1], [-2], [0], [0], [-1], [4], [2], [0], [1], [-6], [-4], [-2], [0], [-6], [1], [4], [-4], [0], [-8], [0], [-1], [1], [0], [2], [2], [10], [1], [0], [-1], [-4], [2], [12], [0], [14], [0], [1], [1], [0], [-4], [12], [-2], [-8], [0], [-8], [-1], [-10], [6], [0], [4], [-4], [2], [16], [0], [1], [6], [12], [-1], [0], [-4], [2], [4], [10], [0], [2], [8], [0], [0], [0], [1], [-2], [-1], [-4], [0]], 'ap': [[-1], [-1], [0], [1], [-4], [2], [-2], [4], [8], [-2], [0], [-6], [-6], [4], [0], [10], [12], [14], [12], [-8], [-10], [16], [12], [10], [-2], [6], [8], [-12], [14], [-18], [16], [20], [-10], [-4], [-10], [-8], [18], [-20], [8], [18], [4], [6], [-16], [-2], [-6], [-24], [-12], [16], [-4], [-10], [22], [0], [-14], [12], [14], [-8], [-18], [16], [-22], [-6], [-28], [-6], [-20], [-8], [6], [2], [12], [-18], [4], [14], [14], [24], [32], [10], [28], [-16], [-26], [-30], [-14], [-38], [20], [-26], [0], [14], [-8], [36], [2], [-10], [14], [0], [12], [32], [8], [-36], [-12], [-40], [30], [-6], [20], [-34], [12], [18], [-20], [26], [28], [-34], [-12], [30], [-24], [-38], [-16], [-6], [22], [-4], [-40], [34], [28], [-24], [-14], [36], [38], [30], [26], [-12], [36], [30], [-26], [-16], [-8], [-46], [-28], [24], [16], [-22], [10], [34], [26], [-20], [-30], [-22], [28], [22], [24], [-28], [-18], [8], [26], [22], [-20], [-32], [-14], [2], [28], [-8], [-28], [32], [-8], [-14], [-10], [-18], [-52], [-26], [8], [28], [-18], [24], [-32], [-22], [-14], [-54], [-20], [46], [-8], [-10], [-16], [42], [28], [6], [-24], [62], [-48], [-12], [26], [38], [-48], [-42], [34], [60], [-22], [0], [-2], [52], [-12], [30], [-4], [6], [50], [34], [14], [-24], [-18], [16], [-38], [-62], [-36], [34], [-32], [-36], [10], [-4], [46], [-42], [56], [-28], [8], [10], [32], [66], [-56], [-30], [-58], [24], [66], [-64], [-20], [54], [54], [48], [8], [-4], [50], [4], [64], [10], [-12], [-32], [18], [42], [-20], [8], [12], [-20], [-24], [14], [-66], [24], [-48], [-44], [44], [16], [2], [-46], [-8], [42], [-46], [4], [-74], [-28], [58], [70], [-16], [-36], [-10], [-14], [-18], [-44], [-50], [-54], [52], [-6], [-2], [-4], [-26], [32], [14], [-40], [68], [62], [10], [4], [-16], [8], [24], [-42], [52], [-32], [46], [-22], [-40], [-46], [-50], [-52], [6], [-68], [-78], [30], [0], [-22], [-20], [28], [-10], [50], [-48], [76], [60], [-34], [-12], [30], [-24], [-6], [0], [-74], [66], [76], [-8], [74], [-60], [-48], [-2], [-78], [4], [38], [62], [16], [-74], [-78], [4], [-28], [0], [26], [46], [2], [-64], [-36], [-52], [4], [-2], [-18], [10], [-32], [-54], [-58], [-26], [-56], [-30], [52], [54], [36], [-48], [-86], [-12], [-10], [-18], [64], [-42], [86], [0], [60], [-18], [-56], [58], [-6], [-48], [12], [28], [-42], [-14], [40], [90], [84], [-68], [48], [-42], [-72], [2], [-60], [-48], [-66], [34], [-26], [62], [22], [-8], [-2], [-44], [-24], [48], [-70], [52], [-16], [-62], [-6], [60], [-20], [40], [-26], [64], [90], [-20], [-42], [14], [30], [-32], [22], [70], [-24], [-46], [-14], [76], [-76], [14], [42], [36], [68], [86], [-50], [-80], [8], [62], [24], [62], [-86], [-48], [76], [-10], [82], [44], [-6], [-20], [56]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288296474, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1050.2.a.c', 'level': 1050, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [9, 13, 15, 12, 13, 14, 11, 12, 13, 12, 13, 13, 15, 10, 11, 13], 'Nk2': 4200, 'analytic_conductor': 8.38429221223444, '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': [1050, 1, [701, 127, 451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 217, 'dim': 18, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19], 'hecke_orbit_code': 33555482, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'label': '1050.2.a', 'level': 1050, '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, 3, 5, 7], 'level_radical': 210, 'mf_dim': 264, 'mf_new_dim': 18, 'num_forms': 18, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 18, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [-2, 0, 0, 0], 'traces': [18, -2, 0, 18, 0, 0, 0, -2, 18, 0, 8, 0, -4, 0, 0, 18, 12, -2, 0, 0, -2, 0, 16, 0, 0, 36, 0, 0, 28, 0, 16, -2, 0, 20, 0, 18, 12, 16, -8, 0, 52, 2, 8, 8, 0, -8, 16, 0, 18, 0, 8, -4, -12, 0, 0, 0, -16, 20, -16, 0, 20, 0, 0, 18, 0, 0, -8, 12, 0, 0, -32, -2, -4, 28, 0, 0, -16, 8, -32, 0, 18, -4, -16, -2, 0, -8, 16, 0, -12, 0, 0, 16, -8, 0, 0, 0, -4, -2, 8, 0, 4, 8, 16, 36, 0, 20, -24, 0, -4, 0, -32, 0, -20, -8, 0, 28, -4, -16, 0, 0, -22, -36, 0, 16, 0, 0, -16, -2, -32, 0, -48, 0, 0, -56, 0, 20, -36, 16, -32, 0, -16, -8, 16, 18, 0, -12, 0, 12, -4, 0, -48, 16, 12, -16, 0, -8, 44, 0, 16, 0, -16, -2, -72, 52, 0, -48, 32, 2, 6, 0, 0, 8, -36, -16, 0, 8, 24, -4, -8, 0, -28, 8, -8, -8, 0, -8, -16, 16, -2, 0, -80, 0, 20, -12, 0, 18, 20, 0, -96, 0, -16, -4, 0, 8, 0, -64, 16, -4, -96, 0, -96, 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-20, 20, 0, -64, -16, 0, -32, 0, -150, 40, -24, -92, 0, 48, -48, -10, 64, 0, -96, 0, -16, 64, 0, 20, -84, 32, -176, 0, -4, -16, 0, -32, 0, -88, 0, 16, -48, 0, -192, 0, 64, 0, 0, -32, -116, 104, -32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 629758
{'conductor': 5, '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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '210.2.a.e', 'target_level': 210, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629759
{'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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '630.2.a.a', 'target_level': 630, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 629760
{'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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1050.2.a.c', 'target_level': 1050, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 629761
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1050.2.g.g', 'target_level': 1050, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 629762
{'conductor': 35, '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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1470.2.a.j', 'target_level': 1470, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 629763
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1470.2.i.a', 'target_level': 1470, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 629764
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1470.2.i.j', 'target_level': 1470, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 629765
{'conductor': 20, '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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1680.2.a.j', 'target_level': 1680, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 629766
{'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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '3150.2.a.bp', 'target_level': 3150, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629767
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3150.2.g.q', 'target_level': 3150, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 629768
{'conductor': 105, '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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '4410.2.a.t', 'target_level': 4410, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 629769
{'conductor': 60, '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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '5040.2.a.k', 'target_level': 5040, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 629770
{'conductor': 40, '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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '6720.2.a.j', 'target_level': 6720, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 629771
{'conductor': 40, '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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '6720.2.a.bq', 'target_level': 6720, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 629772
{'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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '7350.2.a.w', 'target_level': 7350, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 629773
{'conductor': 4, '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': '1050.2.a.c', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 57, 'target_is_minimal': False, 'target_label': '8400.2.a.ce', 'target_level': 8400, 'twist_class_label': '210.2.a.e', 'twist_class_level': 210, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1630850
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 2}
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id: 1630851
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 3}
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id: 1630852
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 5}
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id: 1630853
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 7}
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id: 1630854
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 11}
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id: 1630855
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 13}
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id: 1630856
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 17}
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id: 1630857
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 19}
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id: 1630858
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 23}
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id: 1630859
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 29}
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id: 1630860
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 31}
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id: 1630861
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 37}
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id: 1630862
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 41}
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id: 1630863
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 43}
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id: 1630864
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 47}
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id: 1630865
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 53}
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id: 1630866
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 59}
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id: 1630867
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 61}
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id: 1630868
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 67}
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id: 1630869
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 71}
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id: 1630870
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 73}
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id: 1630871
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 79}
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id: 1630872
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 83}
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id: 1630873
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 89}
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id: 1630874
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288296474, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '1050.2.a.c', 'level': 1050, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 26226967
{'hecke_orbit_code': 9007199288296474, 'n': 1, 'trace_an': 1}
-
id: 26226968
{'hecke_orbit_code': 9007199288296474, 'n': 2, 'trace_an': -1}
-
id: 26226969
{'hecke_orbit_code': 9007199288296474, 'n': 3, 'trace_an': -1}
-
id: 26226970
{'hecke_orbit_code': 9007199288296474, 'n': 4, 'trace_an': 1}
-
id: 26226971
{'hecke_orbit_code': 9007199288296474, 'n': 5, 'trace_an': 0}
-
id: 26226972
{'hecke_orbit_code': 9007199288296474, 'n': 6, 'trace_an': 1}
-
id: 26226973
{'hecke_orbit_code': 9007199288296474, 'n': 7, 'trace_an': 1}
-
id: 26226974
{'hecke_orbit_code': 9007199288296474, 'n': 8, 'trace_an': -1}
-
id: 26226975
{'hecke_orbit_code': 9007199288296474, 'n': 9, 'trace_an': 1}
-
id: 26226976
{'hecke_orbit_code': 9007199288296474, 'n': 10, 'trace_an': 0}
-
id: 26226977
{'hecke_orbit_code': 9007199288296474, 'n': 11, 'trace_an': -4}
-
id: 26226978
{'hecke_orbit_code': 9007199288296474, 'n': 12, 'trace_an': -1}
-
id: 26226979
{'hecke_orbit_code': 9007199288296474, 'n': 13, 'trace_an': 2}
-
id: 26226980
{'hecke_orbit_code': 9007199288296474, 'n': 14, 'trace_an': -1}
-
id: 26226981
{'hecke_orbit_code': 9007199288296474, 'n': 15, 'trace_an': 0}
-
id: 26226982
{'hecke_orbit_code': 9007199288296474, 'n': 16, 'trace_an': 1}
-
id: 26226983
{'hecke_orbit_code': 9007199288296474, 'n': 17, 'trace_an': -2}
-
id: 26226984
{'hecke_orbit_code': 9007199288296474, 'n': 18, 'trace_an': -1}
-
id: 26226985
{'hecke_orbit_code': 9007199288296474, 'n': 19, 'trace_an': 4}
-
id: 26226986
{'hecke_orbit_code': 9007199288296474, 'n': 20, 'trace_an': 0}
-
id: 26226987
{'hecke_orbit_code': 9007199288296474, 'n': 21, 'trace_an': -1}
-
id: 26226988
{'hecke_orbit_code': 9007199288296474, 'n': 22, 'trace_an': 4}
-
id: 26226989
{'hecke_orbit_code': 9007199288296474, 'n': 23, 'trace_an': 8}
-
id: 26226990
{'hecke_orbit_code': 9007199288296474, 'n': 24, 'trace_an': 1}
-
id: 26226991
{'hecke_orbit_code': 9007199288296474, 'n': 25, 'trace_an': 0}
-
id: 26226992
{'hecke_orbit_code': 9007199288296474, 'n': 26, 'trace_an': -2}
-
id: 26226993
{'hecke_orbit_code': 9007199288296474, 'n': 27, 'trace_an': -1}
-
id: 26226994
{'hecke_orbit_code': 9007199288296474, 'n': 28, 'trace_an': 1}
-
id: 26226995
{'hecke_orbit_code': 9007199288296474, 'n': 29, 'trace_an': -2}
-
id: 26226996
{'hecke_orbit_code': 9007199288296474, 'n': 30, 'trace_an': 0}
-
id: 26226997
{'hecke_orbit_code': 9007199288296474, 'n': 31, 'trace_an': 0}
-
id: 26226998
{'hecke_orbit_code': 9007199288296474, 'n': 32, 'trace_an': -1}
-
id: 26226999
{'hecke_orbit_code': 9007199288296474, 'n': 33, 'trace_an': 4}
-
id: 26227000
{'hecke_orbit_code': 9007199288296474, 'n': 34, 'trace_an': 2}
-
id: 26227001
{'hecke_orbit_code': 9007199288296474, 'n': 35, 'trace_an': 0}
-
id: 26227002
{'hecke_orbit_code': 9007199288296474, 'n': 36, 'trace_an': 1}
-
id: 26227003
{'hecke_orbit_code': 9007199288296474, 'n': 37, 'trace_an': -6}
-
id: 26227004
{'hecke_orbit_code': 9007199288296474, 'n': 38, 'trace_an': -4}
-
id: 26227005
{'hecke_orbit_code': 9007199288296474, 'n': 39, 'trace_an': -2}
-
id: 26227006
{'hecke_orbit_code': 9007199288296474, 'n': 40, 'trace_an': 0}
-
id: 26227007
{'hecke_orbit_code': 9007199288296474, 'n': 41, 'trace_an': -6}
-
id: 26227008
{'hecke_orbit_code': 9007199288296474, 'n': 42, 'trace_an': 1}
-
id: 26227009
{'hecke_orbit_code': 9007199288296474, 'n': 43, 'trace_an': 4}
-
id: 26227010
{'hecke_orbit_code': 9007199288296474, 'n': 44, 'trace_an': -4}
-
id: 26227011
{'hecke_orbit_code': 9007199288296474, 'n': 45, 'trace_an': 0}
-
id: 26227012
{'hecke_orbit_code': 9007199288296474, 'n': 46, 'trace_an': -8}
-
id: 26227013
{'hecke_orbit_code': 9007199288296474, 'n': 47, 'trace_an': 0}
-
id: 26227014
{'hecke_orbit_code': 9007199288296474, 'n': 48, 'trace_an': -1}
-
id: 26227015
{'hecke_orbit_code': 9007199288296474, 'n': 49, 'trace_an': 1}
-
id: 26227016
{'hecke_orbit_code': 9007199288296474, 'n': 50, 'trace_an': 0}
-
id: 26227017
{'hecke_orbit_code': 9007199288296474, 'n': 51, 'trace_an': 2}
-
id: 26227018
{'hecke_orbit_code': 9007199288296474, 'n': 52, 'trace_an': 2}
-
id: 26227019
{'hecke_orbit_code': 9007199288296474, 'n': 53, 'trace_an': 10}
-
id: 26227020
{'hecke_orbit_code': 9007199288296474, 'n': 54, 'trace_an': 1}
-
id: 26227021
{'hecke_orbit_code': 9007199288296474, 'n': 55, 'trace_an': 0}
-
id: 26227022
{'hecke_orbit_code': 9007199288296474, 'n': 56, 'trace_an': -1}
-
id: 26227023
{'hecke_orbit_code': 9007199288296474, 'n': 57, 'trace_an': -4}
-
id: 26227024
{'hecke_orbit_code': 9007199288296474, 'n': 58, 'trace_an': 2}
-
id: 26227025
{'hecke_orbit_code': 9007199288296474, 'n': 59, 'trace_an': 12}
-
id: 26227026
{'hecke_orbit_code': 9007199288296474, 'n': 60, 'trace_an': 0}
-
id: 26227027
{'hecke_orbit_code': 9007199288296474, 'n': 61, 'trace_an': 14}
-
id: 26227028
{'hecke_orbit_code': 9007199288296474, 'n': 62, 'trace_an': 0}
-
id: 26227029
{'hecke_orbit_code': 9007199288296474, 'n': 63, 'trace_an': 1}
-
id: 26227030
{'hecke_orbit_code': 9007199288296474, 'n': 64, 'trace_an': 1}
-
id: 26227031
{'hecke_orbit_code': 9007199288296474, 'n': 65, 'trace_an': 0}
-
id: 26227032
{'hecke_orbit_code': 9007199288296474, 'n': 66, 'trace_an': -4}
-
id: 26227033
{'hecke_orbit_code': 9007199288296474, 'n': 67, 'trace_an': 12}
-
id: 26227034
{'hecke_orbit_code': 9007199288296474, 'n': 68, 'trace_an': -2}
-
id: 26227035
{'hecke_orbit_code': 9007199288296474, 'n': 69, 'trace_an': -8}
-
id: 26227036
{'hecke_orbit_code': 9007199288296474, 'n': 70, 'trace_an': 0}
-
id: 26227037
{'hecke_orbit_code': 9007199288296474, 'n': 71, 'trace_an': -8}
-
id: 26227038
{'hecke_orbit_code': 9007199288296474, 'n': 72, 'trace_an': -1}
-
id: 26227039
{'hecke_orbit_code': 9007199288296474, 'n': 73, 'trace_an': -10}
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id: 26227040
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