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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 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': [2550, 1, [851, 1327, 751], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[7, [0, 1]], [11, [4, 1]], [13, [-2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288297974, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2550.2.a.c', 'level': 2550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '102.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/2550/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2550.2.a', 'trace_display': [-1, -1, 0, 0], 'trace_hash': 1716229854190028621, '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': '1.853', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [-1], [1], [0], [1], [0], [-1], [1], [0], [-4], [-1], [2], [0], [0], [1], [-1], [-1], [4], [0], [0], [4], [0], [1], [0], [-2], [-1], [0], [-10], [0], [8], [-1], [4], [1], [0], [1], [2], [-4], [-2], [0], [10], [0], [-12], [-4], [0], [0], [0], [-1], [-7], [0], [1], [2], [-6], [1], [0], [0], [-4], [10], [12], [0], [-10], [-8], [0], [1], [0], [-4], [12], [-1], [0], [0], [0], [-1], [-10], [-2], [0], [4], [0], [2], [-8], [0], [1], [-10], [-4], [0], [0], [12], [10], [4], [-6], [0], [0], [0], [-8], [0], [0], [1], [14], [7], [-4], [0]], 'ap': [[-1], [-1], [0], [0], [-4], [2], [-1], [4], [0], [-10], [8], [2], [10], [-12], [0], [-6], [12], [-10], [12], [0], [-10], [-8], [-4], [-6], [14], [-10], [8], [4], [-10], [-2], [0], [-12], [-10], [-4], [-10], [24], [2], [-4], [-16], [-6], [-12], [14], [-16], [-18], [-14], [0], [-28], [-16], [-4], [-26], [-26], [0], [2], [28], [-2], [8], [6], [16], [-30], [-6], [-12], [26], [12], [0], [-10], [-6], [-20], [14], [-28], [14], [30], [-24], [-24], [-6], [-4], [16], [-26], [26], [-14], [26], [4], [22], [-8], [14], [16], [4], [2], [-10], [30], [-32], [12], [24], [16], [12], [4], [0], [30], [-22], [4], [-10], [12], [34], [-36], [-6], [28], [-2], [20], [14], [-8], [-6], [24], [-38], [6], [-20], [-24], [2], [28], [40], [-6], [36], [6], [46], [-46], [20], [-28], [46], [46], [40], [8], [-46], [52], [16], [8], [10], [-6], [-30], [-38], [-4], [-14], [-22], [-20], [-34], [-32], [20], [-34], [0], [2], [6], [-36], [32], [-22], [2], [-36], [48], [-28], [8], [24], [2], [22], [-10], [28], [6], [8], [-4], [46], [-48], [-40], [2], [34], [34], [12], [-50], [32], [54], [-16], [-54], [28], [-50], [-24], [-18], [-16], [-12], [2], [-42], [-32], [38], [-22], [-4], [26], [8], [62], [-44], [36], [-2], [-4], [6], [-46], [42], [-18], [56], [-42], [24], [-22], [-30], [-36], [-30], [16], [-36], [-6], [12], [-2], [-42], [-16], [-28], [32], [26], [-64], [18], [16], [-14], [-26], [0], [66], [-56], [12], [-58], [-42], [-56], [-8], [-52], [34], [20], [-16], [-54], [4], [16], [-30], [66], [12], [40], [76], [28], [56], [-50], [-2], [0], [-40], [68], [12], [16], [2], [50], [72], [10], [-14], [-12], [14], [-28], [18], [6], [24], [44], [30], [-70], [-2], [52], [30], [-6], [-60], [-6], [-10], [12], [-26], [-48], [14], [-40], [20], [-18], [74], [36], [48], [-16], [-80], [54], [-28], [-48], [-2], [-30], [24], [34], [-26], [44], [-58], [28], [26], [-42], [48], [26], [-4], [-68], [22], [18], [-56], [12], [-68], [14], [-60], [-58], [-40], [58], [-24], [78], [-30], [-84], [88], [42], [84], [8], [-34], [18], [-12], [22], [-66], [16], [54], [-46], [20], [84], [-24], [-78], [22], [-38], [-40], [76], [-20], [-12], [78], [78], [10], [0], [-6], [70], [14], [56], [-46], [36], [-66], [-60], [-40], [34], [4], [-26], [14], [8], [22], [70], [32], [-20], [78], [-40], [66], [58], [32], [-36], [-84], [86], [-6], [24], [-22], [-12], [28], [72], [6], [-72], [58], [-12], [24], [-34], [-14], [-58], [-10], [54], [48], [-18], [4], [-64], [80], [-86], [36], [-64], [-62], [-78], [-36], [-20], [72], [54], [-32], [-22], [92], [38], [54], [-66], [-32], [-58], [-90], [-80], [50], [-14], [-20], [-92], [46], [10], [-76], [-44], [-42], [22], [-24], [-80], [78], [56], [14], [-14], [-40], [-4], [-26], [18], [-36], [-54], [-52], [16]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288297974, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2550.2.a.c', 'level': 2550, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [17, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [17, -1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [17, 1]], 4, 4], [[[2, 1], [3, 1], [5, -1], [17, -1]], 4, 2], [[[2, -1], [3, 1], [5, 1], [17, 1]], 3, 3], [[[2, -1], [3, 1], [5, -1], [17, -1]], 4, 3], [[[2, -1], [3, -1], [5, -1], [17, 1]], 5, 2], [[[2, 1], [3, 1], [5, 1], [17, 1]], 3, 3], [[[2, 1], [3, 1], [5, 1], [17, -1]], 3, 2], [[[2, -1], [3, 1], [5, -1], [17, 1]], 4, 3], [[[2, 1], [3, -1], [5, -1], [17, -1]], 5, 4], [[[2, 1], [3, -1], [5, 1], [17, -1]], 2, 2], [[[2, 1], [3, -1], [5, -1], [17, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [17, 1]], 2, 2], [[[2, -1], [3, -1], [5, 1], [17, -1]], 5, 4], [[[2, 1], [3, 1], [5, -1], [17, 1]], 2, 2]], 'ALdims': [3, 3, 2, 4, 4, 2, 3, 5, 3, 2, 4, 4, 2, 5, 5, 1], 'Nk2': 10200, 'analytic_conductor': 20.3618525154265, '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': [2550, 1, [851, 1327, 751], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 517, 'dim': 52, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33556982, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '2550.2.a', 'level': 2550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 564, 'mf_new_dim': 52, 'num_forms': 41, 'plus_dim': 21, 'prim_orbit_index': 1, 'relative_dim': 52, 'sturm_bound': 1080, 'trace_bound': 13, 'trace_display': [0, 2, 0, 0], 'traces': [52, 0, 2, 52, 0, -2, 0, 0, 52, 0, -8, 2, 0, -8, 0, 52, 0, 0, 8, 0, 20, 0, -8, -2, 0, 0, 2, 0, -16, 0, 24, 0, -8, -4, 0, 52, -8, 8, 28, 0, -16, -4, -8, -8, 0, -8, -16, 2, 76, 0, -2, 0, -16, -2, 0, -8, 16, 16, -40, 0, 8, -24, 0, 52, 0, 8, 32, 0, 4, 0, 8, 0, 32, 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mf_twists_nf • Show schema
Hide schema
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id: 962762
{'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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '102.2.a.c', 'target_level': 102, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 962763
{'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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '306.2.a.b', 'target_level': 306, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 962764
{'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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '816.2.a.b', 'target_level': 816, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 962765
{'conductor': 85, '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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1734.2.a.j', 'target_level': 1734, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '85.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 962766
{'conductor': 85, '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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1734.2.b.b', 'target_level': 1734, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '85.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 962767
{'conductor': 85, 'degree': 4, 'multiplicity': 4, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1734.2.f.e', 'target_level': 1734, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '85.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 962768
{'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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2448.2.a.p', 'target_level': 2448, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 962769
{'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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2550.2.a.c', 'target_level': 2550, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 962770
{'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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2550.2.d.m', 'target_level': 2550, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 962771
{'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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3264.2.a.m', 'target_level': 3264, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 962772
{'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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '3264.2.a.bc', 'target_level': 3264, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 962773
{'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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '4998.2.a.be', 'target_level': 4998, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 962774
{'conductor': 255, '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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '5202.2.a.c', 'target_level': 5202, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '255.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 962775
{'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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '7650.2.a.ca', 'target_level': 7650, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 962776
{'conductor': 120, '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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '9792.2.a.k', 'target_level': 9792, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 962777
{'conductor': 120, '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': '2550.2.a.c', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '9792.2.a.l', 'target_level': 9792, 'twist_class_label': '102.2.a.c', 'twist_class_level': 102, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2723350
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 2}
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id: 2723351
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 3}
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id: 2723352
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 5}
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id: 2723353
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 7}
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id: 2723354
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 11}
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id: 2723355
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 13}
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id: 2723356
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 17}
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id: 2723357
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 19}
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id: 2723358
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 23}
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id: 2723359
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 29}
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id: 2723360
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 31}
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id: 2723361
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 37}
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id: 2723362
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 41}
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id: 2723363
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 43}
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id: 2723364
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 47}
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id: 2723365
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 53}
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id: 2723366
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 59}
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id: 2723367
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 61}
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id: 2723368
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 67}
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id: 2723369
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 71}
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id: 2723370
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 73}
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id: 2723371
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 79}
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id: 2723372
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 83}
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id: 2723373
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 89}
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id: 2723374
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 9007199288297974, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '2550.2.a.c', 'level': 2550, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 103020000
{'hecke_orbit_code': 9007199288297974, 'n': 1, 'trace_an': 1}
-
id: 103020001
{'hecke_orbit_code': 9007199288297974, 'n': 2, 'trace_an': -1}
-
id: 103020002
{'hecke_orbit_code': 9007199288297974, 'n': 3, 'trace_an': -1}
-
id: 103020003
{'hecke_orbit_code': 9007199288297974, 'n': 4, 'trace_an': 1}
-
id: 103020004
{'hecke_orbit_code': 9007199288297974, 'n': 5, 'trace_an': 0}
-
id: 103020005
{'hecke_orbit_code': 9007199288297974, 'n': 6, 'trace_an': 1}
-
id: 103020006
{'hecke_orbit_code': 9007199288297974, 'n': 7, 'trace_an': 0}
-
id: 103020007
{'hecke_orbit_code': 9007199288297974, 'n': 8, 'trace_an': -1}
-
id: 103020008
{'hecke_orbit_code': 9007199288297974, 'n': 9, 'trace_an': 1}
-
id: 103020009
{'hecke_orbit_code': 9007199288297974, 'n': 10, 'trace_an': 0}
-
id: 103020010
{'hecke_orbit_code': 9007199288297974, 'n': 11, 'trace_an': -4}
-
id: 103020011
{'hecke_orbit_code': 9007199288297974, 'n': 12, 'trace_an': -1}
-
id: 103020012
{'hecke_orbit_code': 9007199288297974, 'n': 13, 'trace_an': 2}
-
id: 103020013
{'hecke_orbit_code': 9007199288297974, 'n': 14, 'trace_an': 0}
-
id: 103020014
{'hecke_orbit_code': 9007199288297974, 'n': 15, 'trace_an': 0}
-
id: 103020015
{'hecke_orbit_code': 9007199288297974, 'n': 16, 'trace_an': 1}
-
id: 103020016
{'hecke_orbit_code': 9007199288297974, 'n': 17, 'trace_an': -1}
-
id: 103020017
{'hecke_orbit_code': 9007199288297974, 'n': 18, 'trace_an': -1}
-
id: 103020018
{'hecke_orbit_code': 9007199288297974, 'n': 19, 'trace_an': 4}
-
id: 103020019
{'hecke_orbit_code': 9007199288297974, 'n': 20, 'trace_an': 0}
-
id: 103020020
{'hecke_orbit_code': 9007199288297974, 'n': 21, 'trace_an': 0}
-
id: 103020021
{'hecke_orbit_code': 9007199288297974, 'n': 22, 'trace_an': 4}
-
id: 103020022
{'hecke_orbit_code': 9007199288297974, 'n': 23, 'trace_an': 0}
-
id: 103020023
{'hecke_orbit_code': 9007199288297974, 'n': 24, 'trace_an': 1}
-
id: 103020024
{'hecke_orbit_code': 9007199288297974, 'n': 25, 'trace_an': 0}
-
id: 103020025
{'hecke_orbit_code': 9007199288297974, 'n': 26, 'trace_an': -2}
-
id: 103020026
{'hecke_orbit_code': 9007199288297974, 'n': 27, 'trace_an': -1}
-
id: 103020027
{'hecke_orbit_code': 9007199288297974, 'n': 28, 'trace_an': 0}
-
id: 103020028
{'hecke_orbit_code': 9007199288297974, 'n': 29, 'trace_an': -10}
-
id: 103020029
{'hecke_orbit_code': 9007199288297974, 'n': 30, 'trace_an': 0}
-
id: 103020030
{'hecke_orbit_code': 9007199288297974, 'n': 31, 'trace_an': 8}
-
id: 103020031
{'hecke_orbit_code': 9007199288297974, 'n': 32, 'trace_an': -1}
-
id: 103020032
{'hecke_orbit_code': 9007199288297974, 'n': 33, 'trace_an': 4}
-
id: 103020033
{'hecke_orbit_code': 9007199288297974, 'n': 34, 'trace_an': 1}
-
id: 103020034
{'hecke_orbit_code': 9007199288297974, 'n': 35, 'trace_an': 0}
-
id: 103020035
{'hecke_orbit_code': 9007199288297974, 'n': 36, 'trace_an': 1}
-
id: 103020036
{'hecke_orbit_code': 9007199288297974, 'n': 37, 'trace_an': 2}
-
id: 103020037
{'hecke_orbit_code': 9007199288297974, 'n': 38, 'trace_an': -4}
-
id: 103020038
{'hecke_orbit_code': 9007199288297974, 'n': 39, 'trace_an': -2}
-
id: 103020039
{'hecke_orbit_code': 9007199288297974, 'n': 40, 'trace_an': 0}
-
id: 103020040
{'hecke_orbit_code': 9007199288297974, 'n': 41, 'trace_an': 10}
-
id: 103020041
{'hecke_orbit_code': 9007199288297974, 'n': 42, 'trace_an': 0}
-
id: 103020042
{'hecke_orbit_code': 9007199288297974, 'n': 43, 'trace_an': -12}
-
id: 103020043
{'hecke_orbit_code': 9007199288297974, 'n': 44, 'trace_an': -4}
-
id: 103020044
{'hecke_orbit_code': 9007199288297974, 'n': 45, 'trace_an': 0}
-
id: 103020045
{'hecke_orbit_code': 9007199288297974, 'n': 46, 'trace_an': 0}
-
id: 103020046
{'hecke_orbit_code': 9007199288297974, 'n': 47, 'trace_an': 0}
-
id: 103020047
{'hecke_orbit_code': 9007199288297974, 'n': 48, 'trace_an': -1}
-
id: 103020048
{'hecke_orbit_code': 9007199288297974, 'n': 49, 'trace_an': -7}
-
id: 103020049
{'hecke_orbit_code': 9007199288297974, 'n': 50, 'trace_an': 0}
-
id: 103020050
{'hecke_orbit_code': 9007199288297974, 'n': 51, 'trace_an': 1}
-
id: 103020051
{'hecke_orbit_code': 9007199288297974, 'n': 52, 'trace_an': 2}
-
id: 103020052
{'hecke_orbit_code': 9007199288297974, 'n': 53, 'trace_an': -6}
-
id: 103020053
{'hecke_orbit_code': 9007199288297974, 'n': 54, 'trace_an': 1}
-
id: 103020054
{'hecke_orbit_code': 9007199288297974, 'n': 55, 'trace_an': 0}
-
id: 103020055
{'hecke_orbit_code': 9007199288297974, 'n': 56, 'trace_an': 0}
-
id: 103020056
{'hecke_orbit_code': 9007199288297974, 'n': 57, 'trace_an': -4}
-
id: 103020057
{'hecke_orbit_code': 9007199288297974, 'n': 58, 'trace_an': 10}
-
id: 103020058
{'hecke_orbit_code': 9007199288297974, 'n': 59, 'trace_an': 12}
-
id: 103020059
{'hecke_orbit_code': 9007199288297974, 'n': 60, 'trace_an': 0}
-
id: 103020060
{'hecke_orbit_code': 9007199288297974, 'n': 61, 'trace_an': -10}
-
id: 103020061
{'hecke_orbit_code': 9007199288297974, 'n': 62, 'trace_an': -8}
-
id: 103020062
{'hecke_orbit_code': 9007199288297974, 'n': 63, 'trace_an': 0}
-
id: 103020063
{'hecke_orbit_code': 9007199288297974, 'n': 64, 'trace_an': 1}
-
id: 103020064
{'hecke_orbit_code': 9007199288297974, 'n': 65, 'trace_an': 0}
-
id: 103020065
{'hecke_orbit_code': 9007199288297974, 'n': 66, 'trace_an': -4}
-
id: 103020066
{'hecke_orbit_code': 9007199288297974, 'n': 67, 'trace_an': 12}
-
id: 103020067
{'hecke_orbit_code': 9007199288297974, 'n': 68, 'trace_an': -1}
-
id: 103020068
{'hecke_orbit_code': 9007199288297974, 'n': 69, 'trace_an': 0}
-
id: 103020069
{'hecke_orbit_code': 9007199288297974, 'n': 70, 'trace_an': 0}
-
id: 103020070
{'hecke_orbit_code': 9007199288297974, 'n': 71, 'trace_an': 0}
-
id: 103020071
{'hecke_orbit_code': 9007199288297974, 'n': 72, 'trace_an': -1}
-
id: 103020072
{'hecke_orbit_code': 9007199288297974, 'n': 73, 'trace_an': -10}
-
id: 103020073
{'hecke_orbit_code': 9007199288297974, 'n': 74, 'trace_an': -2}
-
id: 103020074
{'hecke_orbit_code': 9007199288297974, 'n': 75, 'trace_an': 0}
-
id: 103020075
{'hecke_orbit_code': 9007199288297974, 'n': 76, 'trace_an': 4}
-
id: 103020076
{'hecke_orbit_code': 9007199288297974, 'n': 77, 'trace_an': 0}
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id: 103020077
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