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mf_newforms • Show schema
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{'Nk2': 12544, 'analytic_conductor': 25.04108607387353, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3136, 1, [1471, 197, 1473], [1, 1, 1]], 'cm_discs': [], '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': [[3, [2, 1]], [5, [4, 1]], [11, [0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288298560, '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': '3136.2.a.c', 'level': 3136, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '56.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{3}-4q^{5}+q^{9}+8q^{15}+2q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/3136/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3136.2.a', 'trace_display': [0, -2, -4, 0], 'trace_hash': 1227751887872068865, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.052', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-2], [0], [-4], [0], [0], [0], [1], [0], [0], [0], [0], [0], [8], [0], [2], [0], [2], [0], [0], [0], [-8], [0], [11], [0], [4], [0], [-2], [0], [4], [0], [0], [0], [0], [0], [6], [0], [0], [0], [2], [0], [8], [0], [-4], [0], [-4], [0], [0], [0], [-4], [0], [10], [0], [0], [0], [-4], [0], [-6], [0], [4], [0], [0], [0], [0], [0], [-12], [0], [16], [0], [0], [0], [14], [0], [-22], [0], [0], [0], [8], [0], [-11], [0], [-6], [0], [-8], [0], [4], [0], [-10], [0], [0], [0], [-8], [0], [-8], [0], [2], [0], [0], [0]], 'ap': [[0], [-2], [-4], [0], [0], [0], [2], [2], [-8], [-2], [4], [6], [2], [8], [-4], [10], [-6], [4], [-12], [0], [14], [8], [-6], [-10], [2], [12], [-12], [-12], [-10], [6], [-8], [-14], [2], [-18], [2], [-16], [0], [16], [12], [8], [-4], [8], [8], [-18], [18], [-4], [20], [-24], [-14], [-16], [26], [16], [2], [14], [-18], [0], [-24], [32], [-22], [-6], [10], [-12], [2], [-24], [-14], [-6], [8], [14], [-24], [8], [30], [0], [8], [34], [0], [12], [-10], [-8], [30], [-6], [-26], [-22], [0], [26], [24], [-4], [-14], [22], [0], [16], [-6], [4], [8], [-36], [4], [-32], [-24], [18], [34], [-22], [-8], [26], [-34], [-42], [-16], [-18], [-10], [-42], [-40], [-10], [-32], [-10], [6], [-6], [-32], [-2], [14], [-36], [22], [-40], [20], [10], [-24], [12], [-14], [-10], [-10], [36], [20], [52], [16], [16], [-32], [-10], [42], [26], [4], [-22], [-24], [6], [-30], [-6], [-8], [36], [20], [36], [-32], [-6], [14], [-8], [-2], [-10], [-20], [36], [-28], [8], [-40], [2], [-18], [-12], [40], [10], [24], [26], [-54], [-12], [48], [52], [30], [16], [-20], [-48], [0], [-38], [-12], [-2], [20], [-42], [-32], [-44], [-16], [-2], [14], [38], [-24], [-24], [-14], [-14], [-30], [12], [46], [-36], [-52], [0], [-20], [30], [46], [-2], [-58], [-8], [-14], [60], [-28], [-58], [18], [36], [-52], [48], [-34], [38], [-18], [12], [-16], [-54], [-40], [-6], [-48], [-38], [24], [38], [30], [-56], [-46], [-48], [2], [-50], [6], [16], [-32], [-48], [-10], [70], [-16], [58], [-46], [48], [-62], [18], [28], [-48], [56], [-62], [-64], [-46], [-42], [28], [16], [-62], [72], [-32], [10], [-50], [-64], [54], [-44], [12], [-2], [22], [-36], [42], [-32], [0], [-36], [52], [-30], [22], [-70], [-10], [36], [30], [40], [-8], [46], [-24], [78], [-64], [-40], [-22], [-34], [42], [-24], [-8], [84], [-60], [82], [-24], [66], [50], [-12], [30], [-30], [74], [86], [2], [34], [-8], [48], [8], [-66], [46], [-38], [6], [0], [0], [-24], [-22], [24], [-20], [-88], [-38], [-40], [-26], [58], [16], [16], [-10], [62], [-64], [-58], [66], [22], [2], [36], [-40], [-10], [-38], [-8], [-46], [72], [30], [42], [54], [-20], [-10], [-28], [82], [86], [-34], [-74], [-20], [-78], [6], [-24], [-80], [70], [-72], [-56], [64], [40], [20], [46], [-38], [18], [60], [18], [-18], [36], [10], [-78], [-24], [82], [-18], [24], [-12], [66], [-10], [72], [-24], [70], [92], [-2], [96], [-46], [-8], [-54], [-46], [96], [-26], [34], [26], [40], [-58], [56], [18], [-50], [-24], [40], [-4], [-4], [76], [-34], [-20], [36], [-42], [32], [-46], [-44], [98], [-92], [54], [-60], [-46], [48], [-6], [80], [20], [-62], [-2], [-42], [30], [6], [-66], [-16], [52], [42], [-96], [8], [52], [66], [64], [6], [-28], [-96], [-90], [66], [12], [-104], [42], [70], [28]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288298560, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3136.2.a.c', 'level': 3136, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [7, -1]], 18, 15], [[[2, 1], [7, -1]], 21, 16], [[[2, 1], [7, 1]], 17, 10], [[[2, -1], [7, 1]], 21, 11]], 'Nk2': 12544, 'analytic_conductor': 25.04108607387353, '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': [3136, 1, [1471, 197, 1473], [1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 401, 'dim': 77, 'eis_dim': 95, 'eis_new_dim': 10, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 33557568, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], 'label': '3136.2.a', 'level': 3136, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 496, 'mf_new_dim': 87, 'num_forms': 52, 'plus_dim': 35, 'prim_orbit_index': 1, 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mf_twists_nf • Show schema
Hide schema
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id: 1052223
{'conductor': 56, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '56.2.a.b', 'target_level': 56, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1052224
{'conductor': 56, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '112.2.a.a', 'target_level': 112, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1052225
{'conductor': 8, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '392.2.a.b', 'target_level': 392, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1052226
{'conductor': 56, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '392.2.i.a', 'target_level': 392, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1052227
{'conductor': 56, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '392.2.i.e', 'target_level': 392, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1052228
{'conductor': 28, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '448.2.a.c', 'target_level': 448, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1052229
{'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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '448.2.a.h', 'target_level': 448, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1052230
{'conductor': 168, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '504.2.a.h', 'target_level': 504, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1052231
{'conductor': 8, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '784.2.a.i', 'target_level': 784, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1052232
{'conductor': 56, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.2.i.b', 'target_level': 784, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1052233
{'conductor': 56, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '784.2.i.j', 'target_level': 784, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1052234
{'conductor': 168, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1008.2.a.m', 'target_level': 1008, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1052235
{'conductor': 280, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1400.2.a.a', 'target_level': 1400, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '280.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1052236
{'conductor': 280, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1400.2.g.b', 'target_level': 1400, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '280.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 1052237
{'conductor': 112, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1792.2.b.a', 'target_level': 1792, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '112.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1052238
{'conductor': 112, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1792.2.b.h', 'target_level': 1792, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1052239
{'conductor': 280, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2800.2.a.bd', 'target_level': 2800, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '280.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1052240
{'conductor': 280, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2800.2.g.g', 'target_level': 2800, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '280.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1052241
{'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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3136.2.a.c', 'target_level': 3136, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1052242
{'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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3136.2.a.w', 'target_level': 3136, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1052243
{'conductor': 24, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3528.2.a.b', 'target_level': 3528, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1052244
{'conductor': 168, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3528.2.s.a', 'target_level': 3528, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '168.be', 'twisting_char_orbit': 31, 'weight': 2}
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id: 1052245
{'conductor': 168, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3528.2.s.ba', 'target_level': 3528, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '168.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1052246
{'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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4032.2.a.a', 'target_level': 4032, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1052247
{'conductor': 84, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4032.2.a.d', 'target_level': 4032, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1052248
{'conductor': 616, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '6776.2.a.h', 'target_level': 6776, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '616.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1052249
{'conductor': 24, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '7056.2.a.c', 'target_level': 7056, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1052250
{'conductor': 728, '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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '9464.2.a.h', 'target_level': 9464, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '728.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1052251
{'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': '3136.2.a.c', 'source_level': 3136, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '9800.2.a.bj', 'target_level': 9800, 'twist_class_label': '56.2.a.b', 'twist_class_level': 56, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3022450
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 2}
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id: 3022451
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 3}
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id: 3022452
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 5}
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id: 3022453
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 7}
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id: 3022454
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 11}
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id: 3022455
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 13}
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id: 3022456
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 17}
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id: 3022457
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 19}
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id: 3022458
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 23}
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id: 3022459
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 29}
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id: 3022460
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 31}
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id: 3022461
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 37}
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id: 3022462
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 41}
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id: 3022463
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 43}
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id: 3022464
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 47}
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id: 3022465
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 53}
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id: 3022466
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 59}
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id: 3022467
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 61}
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id: 3022468
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 67}
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id: 3022469
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 71}
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id: 3022470
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 73}
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id: 3022471
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 79}
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id: 3022472
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 83}
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id: 3022473
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 89}
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id: 3022474
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288298560, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '3136.2.a.c', 'level': 3136, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 103548000
{'hecke_orbit_code': 9007199288298560, 'n': 1, 'trace_an': 1}
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id: 103548001
{'hecke_orbit_code': 9007199288298560, 'n': 2, 'trace_an': 0}
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id: 103548002
{'hecke_orbit_code': 9007199288298560, 'n': 3, 'trace_an': -2}
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id: 103548003
{'hecke_orbit_code': 9007199288298560, 'n': 4, 'trace_an': 0}
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id: 103548004
{'hecke_orbit_code': 9007199288298560, 'n': 5, 'trace_an': -4}
-
id: 103548005
{'hecke_orbit_code': 9007199288298560, 'n': 6, 'trace_an': 0}
-
id: 103548006
{'hecke_orbit_code': 9007199288298560, 'n': 7, 'trace_an': 0}
-
id: 103548007
{'hecke_orbit_code': 9007199288298560, 'n': 8, 'trace_an': 0}
-
id: 103548008
{'hecke_orbit_code': 9007199288298560, 'n': 9, 'trace_an': 1}
-
id: 103548009
{'hecke_orbit_code': 9007199288298560, 'n': 10, 'trace_an': 0}
-
id: 103548010
{'hecke_orbit_code': 9007199288298560, 'n': 11, 'trace_an': 0}
-
id: 103548011
{'hecke_orbit_code': 9007199288298560, 'n': 12, 'trace_an': 0}
-
id: 103548012
{'hecke_orbit_code': 9007199288298560, 'n': 13, 'trace_an': 0}
-
id: 103548013
{'hecke_orbit_code': 9007199288298560, 'n': 14, 'trace_an': 0}
-
id: 103548014
{'hecke_orbit_code': 9007199288298560, 'n': 15, 'trace_an': 8}
-
id: 103548015
{'hecke_orbit_code': 9007199288298560, 'n': 16, 'trace_an': 0}
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id: 103548016
{'hecke_orbit_code': 9007199288298560, 'n': 17, 'trace_an': 2}
-
id: 103548017
{'hecke_orbit_code': 9007199288298560, 'n': 18, 'trace_an': 0}
-
id: 103548018
{'hecke_orbit_code': 9007199288298560, 'n': 19, 'trace_an': 2}
-
id: 103548019
{'hecke_orbit_code': 9007199288298560, 'n': 20, 'trace_an': 0}
-
id: 103548020
{'hecke_orbit_code': 9007199288298560, 'n': 21, 'trace_an': 0}
-
id: 103548021
{'hecke_orbit_code': 9007199288298560, 'n': 22, 'trace_an': 0}
-
id: 103548022
{'hecke_orbit_code': 9007199288298560, 'n': 23, 'trace_an': -8}
-
id: 103548023
{'hecke_orbit_code': 9007199288298560, 'n': 24, 'trace_an': 0}
-
id: 103548024
{'hecke_orbit_code': 9007199288298560, 'n': 25, 'trace_an': 11}
-
id: 103548025
{'hecke_orbit_code': 9007199288298560, 'n': 26, 'trace_an': 0}
-
id: 103548026
{'hecke_orbit_code': 9007199288298560, 'n': 27, 'trace_an': 4}
-
id: 103548027
{'hecke_orbit_code': 9007199288298560, 'n': 28, 'trace_an': 0}
-
id: 103548028
{'hecke_orbit_code': 9007199288298560, 'n': 29, 'trace_an': -2}
-
id: 103548029
{'hecke_orbit_code': 9007199288298560, 'n': 30, 'trace_an': 0}
-
id: 103548030
{'hecke_orbit_code': 9007199288298560, 'n': 31, 'trace_an': 4}
-
id: 103548031
{'hecke_orbit_code': 9007199288298560, 'n': 32, 'trace_an': 0}
-
id: 103548032
{'hecke_orbit_code': 9007199288298560, 'n': 33, 'trace_an': 0}
-
id: 103548033
{'hecke_orbit_code': 9007199288298560, 'n': 34, 'trace_an': 0}
-
id: 103548034
{'hecke_orbit_code': 9007199288298560, 'n': 35, 'trace_an': 0}
-
id: 103548035
{'hecke_orbit_code': 9007199288298560, 'n': 36, 'trace_an': 0}
-
id: 103548036
{'hecke_orbit_code': 9007199288298560, 'n': 37, 'trace_an': 6}
-
id: 103548037
{'hecke_orbit_code': 9007199288298560, 'n': 38, 'trace_an': 0}
-
id: 103548038
{'hecke_orbit_code': 9007199288298560, 'n': 39, 'trace_an': 0}
-
id: 103548039
{'hecke_orbit_code': 9007199288298560, 'n': 40, 'trace_an': 0}
-
id: 103548040
{'hecke_orbit_code': 9007199288298560, 'n': 41, 'trace_an': 2}
-
id: 103548041
{'hecke_orbit_code': 9007199288298560, 'n': 42, 'trace_an': 0}
-
id: 103548042
{'hecke_orbit_code': 9007199288298560, 'n': 43, 'trace_an': 8}
-
id: 103548043
{'hecke_orbit_code': 9007199288298560, 'n': 44, 'trace_an': 0}
-
id: 103548044
{'hecke_orbit_code': 9007199288298560, 'n': 45, 'trace_an': -4}
-
id: 103548045
{'hecke_orbit_code': 9007199288298560, 'n': 46, 'trace_an': 0}
-
id: 103548046
{'hecke_orbit_code': 9007199288298560, 'n': 47, 'trace_an': -4}
-
id: 103548047
{'hecke_orbit_code': 9007199288298560, 'n': 48, 'trace_an': 0}
-
id: 103548048
{'hecke_orbit_code': 9007199288298560, 'n': 49, 'trace_an': 0}
-
id: 103548049
{'hecke_orbit_code': 9007199288298560, 'n': 50, 'trace_an': 0}
-
id: 103548050
{'hecke_orbit_code': 9007199288298560, 'n': 51, 'trace_an': -4}
-
id: 103548051
{'hecke_orbit_code': 9007199288298560, 'n': 52, 'trace_an': 0}
-
id: 103548052
{'hecke_orbit_code': 9007199288298560, 'n': 53, 'trace_an': 10}
-
id: 103548053
{'hecke_orbit_code': 9007199288298560, 'n': 54, 'trace_an': 0}
-
id: 103548054
{'hecke_orbit_code': 9007199288298560, 'n': 55, 'trace_an': 0}
-
id: 103548055
{'hecke_orbit_code': 9007199288298560, 'n': 56, 'trace_an': 0}
-
id: 103548056
{'hecke_orbit_code': 9007199288298560, 'n': 57, 'trace_an': -4}
-
id: 103548057
{'hecke_orbit_code': 9007199288298560, 'n': 58, 'trace_an': 0}
-
id: 103548058
{'hecke_orbit_code': 9007199288298560, 'n': 59, 'trace_an': -6}
-
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