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{'Nk2': 19404, 'analytic_conductor': 38.73543002052311, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [11, 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': [4851, 1, [4313, 199, 442], [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': [[2, [1, 1]], [5, [2, 1]], [13, [-2, 1]], [17, [2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660929779, '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': '4851.2.a.b', 'level': 4851, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 11], 'level_radical': 231, 'minimal_twist': '33.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{4}-2q^{5}+3q^{8}+2q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/4851/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4851.2.a', 'trace_display': [-1, 0, -2, 0], 'trace_hash': 1738196544146408510, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.963', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.873', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [0], [-1], [-2], [0], [0], [3], [0], [2], [-1], [0], [2], [0], [0], [-1], [-2], [0], [0], [2], [0], [1], [-8], [0], [-1], [-2], [0], [0], [6], [0], [8], [-5], [0], [2], [0], [0], [6], [0], [0], [-6], [-2], [0], [0], [1], [0], [8], [8], [0], [0], [1], [0], [-2], [-6], [0], [2], [0], [0], [-6], [-4], [0], [-6], [-8], [0], [7], [-4], [0], [-4], [2], [0], [0], [0], [0], [14], [-6], [0], [0], [0], [0], [-4], [2], [0], [2], [12], [0], [4], [0], [0], [-3], [-6], [0], [0], [8], [0], [-8], [0], [0], [-2], [0], [0], [1]], 'ap': [[-1], [0], [-2], [0], [-1], [2], [-2], [0], [-8], [6], [8], [6], [-2], [0], [8], [-6], [-4], [-6], [-4], [0], [14], [-4], [12], [-6], [-2], [2], [-8], [12], [-2], [6], [-4], [-12], [-2], [8], [22], [20], [-14], [4], [0], [-6], [-12], [-22], [-8], [-14], [14], [0], [0], [-16], [12], [-6], [-30], [-24], [-10], [4], [-14], [16], [-2], [-20], [-26], [18], [-16], [-6], [-32], [-24], [22], [-22], [-20], [-22], [-4], [-6], [18], [8], [32], [-2], [28], [-16], [18], [2], [-26], [-18], [-4], [-26], [24], [-34], [20], [-28], [-2], [18], [-30], [16], [-12], [8], [-16], [-4], [-4], [-32], [30], [-30], [16], [46], [8], [14], [-44], [42], [-16], [30], [28], [38], [8], [-26], [4], [14], [30], [-44], [16], [-18], [-20], [8], [2], [-4], [26], [-46], [18], [-20], [28], [-50], [38], [24], [0], [-30], [8], [-40], [-8], [-10], [6], [-2], [6], [8], [-10], [-54], [56], [14], [24], [-20], [2], [-56], [34], [-10], [36], [-48], [6], [26], [-20], [8], [12], [-24], [-20], [-6], [-26], [-54], [-12], [-22], [4], [-52], [6], [24], [40], [-14], [-22], [6], [4], [-46], [40], [2], [16], [50], [-64], [10], [-20], [26], [8], [-28], [6], [54], [-24], [54], [-18], [12], [-46], [-40], [46], [44], [12], [-42], [60], [-54], [2], [-2], [30], [56], [-18], [-60], [42], [-10], [20], [-26], [0], [-36], [-6], [-4], [18], [6], [48], [28], [24], [-26], [20], [6], [48], [-30], [22], [-36], [54], [-16], [36], [-34], [18], [0], [20], [-4], [-50], [-64], [28], [58], [-4], [16], [30], [6], [-52], [40], [44], [16], [0], [-66], [22], [-24], [40], [44], [0], [-16], [-50], [-10], [0], [70], [18], [-28], [-74], [24], [-66], [-58], [4], [60], [-38], [-6], [-30], [-28], [18], [-30], [56], [-18], [-62], [36], [-10], [-76], [-26], [-80], [60], [-26], [-38], [36], [-56], [32], [-40], [-14], [32], [-48], [18], [-66], [-16], [-26], [10], [68], [-30], [60], [-42], [-46], [8], [22], [36], [16], [6], [-18], [28], [-4], [-28], [82], [60], [18], [24], [-66], [-72], [50], [-54], [-4], [0], [-50], [-76], [-16], [14], [34], [32], [58], [2], [56], [2], [46], [-36], [-20], [-72], [14], [46], [-54], [-44], [28], [-48], [-36], [-50], [-26], [86], [-44], [38], [-42], [-54], [-40], [-62], [-76], [26], [-52], [0], [-42], [-32], [42], [-30], [84], [-2], [6], [72], [-76], [-14], [64], [62], [-18], [-48], [-52], [-12], [10], [-78], [68], [-54], [12], [84], [-64], [14], [20], [-2], [-4], [40], [46], [30], [30], [-26], [54], [68], [34], [-40], [-48], [24], [-86], [32], [8], [2], [-74], [76], [-28], [72], [-14], [52], [90], [76], [-50], [-86], [-58], [60], [42], [10], [12], [-18], [26], [52], [-4], [30], [-58], [92], [-88], [98], [-42], [40], [24], [98], [0], [-62], [-46], [72], [-44], [-10], [-18], [36], [-46], [-28], [-32]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660929779, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4851.2.a.b', 'level': 4851, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [7, -1], [11, -1]], 30, 16], [[[3, 1], [7, -1], [11, -1]], 16, 6], [[[3, -1], [7, 1], [11, 1]], 28, 6], [[[3, 1], [7, -1], [11, 1]], 16, 6], [[[3, -1], [7, 1], [11, -1]], 20, 8], [[[3, -1], [7, -1], [11, 1]], 24, 10], [[[3, 1], [7, 1], [11, -1]], 19, 4], [[[3, 1], [7, 1], [11, 1]], 19, 4]], 'Nk2': 19404, 'analytic_conductor': 38.73543002052311, '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': [4851, 1, [4313, 199, 442], [1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 641, 'dim': 172, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13, 17], 'hecke_orbit_code': 33559283, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 10, 10, 10], 'label': '4851.2.a', 'level': 4851, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 11], 'level_radical': 231, 'mf_dim': 704, 'mf_new_dim': 172, 'num_forms': 60, 'plus_dim': 79, 'prim_orbit_index': 1, 'relative_dim': 172, 'sturm_bound': 1344, 'trace_bound': 23, 'trace_display': [1, 0, 5, 0], 'traces': [172, 1, 0, 171, 5, 0, 0, -9, 0, -8, -2, 0, 10, 0, 0, 165, 16, 0, 0, -12, 0, 1, 1, 0, 185, -6, 0, 0, 14, 0, -13, 3, 0, 22, 0, 0, -3, -16, 0, 30, 10, 0, -30, -9, 0, 14, 0, 0, 0, 9, 0, 42, 28, 0, -1, 0, 0, 82, -21, 0, -10, -18, 0, 205, 84, 0, -19, 22, 0, 0, -9, 0, 34, 88, 0, 12, 0, 0, -42, 18, 0, 58, 30, 0, 58, 56, 0, 15, 51, 0, 0, 30, 0, -20, -32, 0, 51, 0, 0, 251, -20, 0, 0, 2, 0, -30, -26, 0, -56, 16, 0, 0, 65, 0, 35, 114, 0, -46, 0, 0, 172, -30, 0, -42, 57, 0, -28, 7, 0, 36, -18, 0, 0, 54, 0, -22, -19, 0, -10, 0, 0, -54, 6, 0, -40, -34, 0, -148, 4, 0, -142, -32, 0, 0, -39, 0, -9, 28, 0, 54, 0, 0, -100, 50, 0, -24, -72, 0, 188, 28, 0, 16, -36, 0, 0, -11, 0, -16, 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mf_twists_nf • Show schema
Hide schema
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id: 1229234
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '33.2.a.a', 'target_level': 33, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1229235
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '99.2.a.b', 'target_level': 99, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1229236
{'conductor': 231, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '363.2.a.b', 'target_level': 363, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '231.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1229237
{'conductor': 231, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '363.2.e.e', 'target_level': 363, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '231.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1229238
{'conductor': 231, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '363.2.e.g', 'target_level': 363, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '231.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 1229239
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '528.2.a.g', 'target_level': 528, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1229240
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '825.2.a.a', 'target_level': 825, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1229241
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '825.2.c.a', 'target_level': 825, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1229242
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '891.2.e.e', 'target_level': 891, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1229243
{'conductor': 63, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '891.2.e.g', 'target_level': 891, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1229244
{'conductor': 77, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1089.2.a.j', 'target_level': 1089, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '77.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1229245
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1584.2.a.o', 'target_level': 1584, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1229246
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1617.2.a.j', 'target_level': 1617, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1229247
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2112.2.a.j', 'target_level': 2112, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1229248
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2112.2.a.bb', 'target_level': 2112, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1229249
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2475.2.a.g', 'target_level': 2475, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1229250
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2475.2.c.d', 'target_level': 2475, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1229251
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4851.2.a.b', 'target_level': 4851, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1229252
{'conductor': 273, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '5577.2.a.a', 'target_level': 5577, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '273.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1229253
{'conductor': 924, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '5808.2.a.t', 'target_level': 5808, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '924.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1229254
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '6336.2.a.n', 'target_level': 6336, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1229255
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '6336.2.a.x', 'target_level': 6336, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1229256
{'conductor': 1155, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '9075.2.a.q', 'target_level': 9075, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '1155.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1229257
{'conductor': 357, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4851.2.a.b', 'source_level': 4851, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '9537.2.a.m', 'target_level': 9537, 'twist_class_label': '33.2.a.a', 'twist_class_level': 33, 'twisting_char_label': '357.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3725500
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 2}
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id: 3725501
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 3}
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id: 3725502
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 5}
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id: 3725503
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 7}
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id: 3725504
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 11}
-
id: 3725505
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 13}
-
id: 3725506
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 17}
-
id: 3725507
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 19}
-
id: 3725508
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 23}
-
id: 3725509
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 29}
-
id: 3725510
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 31}
-
id: 3725511
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 37}
-
id: 3725512
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 41}
-
id: 3725513
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 43}
-
id: 3725514
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 47}
-
id: 3725515
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 53}
-
id: 3725516
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 59}
-
id: 3725517
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 61}
-
id: 3725518
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 67}
-
id: 3725519
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 71}
-
id: 3725520
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 73}
-
id: 3725521
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 79}
-
id: 3725522
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 83}
-
id: 3725523
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 89}
-
id: 3725524
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660929779, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '4851.2.a.b', 'level': 4851, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 66935000
{'hecke_orbit_code': 4503599660929779, 'n': 1, 'trace_an': 1}
-
id: 66935001
{'hecke_orbit_code': 4503599660929779, 'n': 2, 'trace_an': -1}
-
id: 66935002
{'hecke_orbit_code': 4503599660929779, 'n': 3, 'trace_an': 0}
-
id: 66935003
{'hecke_orbit_code': 4503599660929779, 'n': 4, 'trace_an': -1}
-
id: 66935004
{'hecke_orbit_code': 4503599660929779, 'n': 5, 'trace_an': -2}
-
id: 66935005
{'hecke_orbit_code': 4503599660929779, 'n': 6, 'trace_an': 0}
-
id: 66935006
{'hecke_orbit_code': 4503599660929779, 'n': 7, 'trace_an': 0}
-
id: 66935007
{'hecke_orbit_code': 4503599660929779, 'n': 8, 'trace_an': 3}
-
id: 66935008
{'hecke_orbit_code': 4503599660929779, 'n': 9, 'trace_an': 0}
-
id: 66935009
{'hecke_orbit_code': 4503599660929779, 'n': 10, 'trace_an': 2}
-
id: 66935010
{'hecke_orbit_code': 4503599660929779, 'n': 11, 'trace_an': -1}
-
id: 66935011
{'hecke_orbit_code': 4503599660929779, 'n': 12, 'trace_an': 0}
-
id: 66935012
{'hecke_orbit_code': 4503599660929779, 'n': 13, 'trace_an': 2}
-
id: 66935013
{'hecke_orbit_code': 4503599660929779, 'n': 14, 'trace_an': 0}
-
id: 66935014
{'hecke_orbit_code': 4503599660929779, 'n': 15, 'trace_an': 0}
-
id: 66935015
{'hecke_orbit_code': 4503599660929779, 'n': 16, 'trace_an': -1}
-
id: 66935016
{'hecke_orbit_code': 4503599660929779, 'n': 17, 'trace_an': -2}
-
id: 66935017
{'hecke_orbit_code': 4503599660929779, 'n': 18, 'trace_an': 0}
-
id: 66935018
{'hecke_orbit_code': 4503599660929779, 'n': 19, 'trace_an': 0}
-
id: 66935019
{'hecke_orbit_code': 4503599660929779, 'n': 20, 'trace_an': 2}
-
id: 66935020
{'hecke_orbit_code': 4503599660929779, 'n': 21, 'trace_an': 0}
-
id: 66935021
{'hecke_orbit_code': 4503599660929779, 'n': 22, 'trace_an': 1}
-
id: 66935022
{'hecke_orbit_code': 4503599660929779, 'n': 23, 'trace_an': -8}
-
id: 66935023
{'hecke_orbit_code': 4503599660929779, 'n': 24, 'trace_an': 0}
-
id: 66935024
{'hecke_orbit_code': 4503599660929779, 'n': 25, 'trace_an': -1}
-
id: 66935025
{'hecke_orbit_code': 4503599660929779, 'n': 26, 'trace_an': -2}
-
id: 66935026
{'hecke_orbit_code': 4503599660929779, 'n': 27, 'trace_an': 0}
-
id: 66935027
{'hecke_orbit_code': 4503599660929779, 'n': 28, 'trace_an': 0}
-
id: 66935028
{'hecke_orbit_code': 4503599660929779, 'n': 29, 'trace_an': 6}
-
id: 66935029
{'hecke_orbit_code': 4503599660929779, 'n': 30, 'trace_an': 0}
-
id: 66935030
{'hecke_orbit_code': 4503599660929779, 'n': 31, 'trace_an': 8}
-
id: 66935031
{'hecke_orbit_code': 4503599660929779, 'n': 32, 'trace_an': -5}
-
id: 66935032
{'hecke_orbit_code': 4503599660929779, 'n': 33, 'trace_an': 0}
-
id: 66935033
{'hecke_orbit_code': 4503599660929779, 'n': 34, 'trace_an': 2}
-
id: 66935034
{'hecke_orbit_code': 4503599660929779, 'n': 35, 'trace_an': 0}
-
id: 66935035
{'hecke_orbit_code': 4503599660929779, 'n': 36, 'trace_an': 0}
-
id: 66935036
{'hecke_orbit_code': 4503599660929779, 'n': 37, 'trace_an': 6}
-
id: 66935037
{'hecke_orbit_code': 4503599660929779, 'n': 38, 'trace_an': 0}
-
id: 66935038
{'hecke_orbit_code': 4503599660929779, 'n': 39, 'trace_an': 0}
-
id: 66935039
{'hecke_orbit_code': 4503599660929779, 'n': 40, 'trace_an': -6}
-
id: 66935040
{'hecke_orbit_code': 4503599660929779, 'n': 41, 'trace_an': -2}
-
id: 66935041
{'hecke_orbit_code': 4503599660929779, 'n': 42, 'trace_an': 0}
-
id: 66935042
{'hecke_orbit_code': 4503599660929779, 'n': 43, 'trace_an': 0}
-
id: 66935043
{'hecke_orbit_code': 4503599660929779, 'n': 44, 'trace_an': 1}
-
id: 66935044
{'hecke_orbit_code': 4503599660929779, 'n': 45, 'trace_an': 0}
-
id: 66935045
{'hecke_orbit_code': 4503599660929779, 'n': 46, 'trace_an': 8}
-
id: 66935046
{'hecke_orbit_code': 4503599660929779, 'n': 47, 'trace_an': 8}
-
id: 66935047
{'hecke_orbit_code': 4503599660929779, 'n': 48, 'trace_an': 0}
-
id: 66935048
{'hecke_orbit_code': 4503599660929779, 'n': 49, 'trace_an': 0}
-
id: 66935049
{'hecke_orbit_code': 4503599660929779, 'n': 50, 'trace_an': 1}
-
id: 66935050
{'hecke_orbit_code': 4503599660929779, 'n': 51, 'trace_an': 0}
-
id: 66935051
{'hecke_orbit_code': 4503599660929779, 'n': 52, 'trace_an': -2}
-
id: 66935052
{'hecke_orbit_code': 4503599660929779, 'n': 53, 'trace_an': -6}
-
id: 66935053
{'hecke_orbit_code': 4503599660929779, 'n': 54, 'trace_an': 0}
-
id: 66935054
{'hecke_orbit_code': 4503599660929779, 'n': 55, 'trace_an': 2}
-
id: 66935055
{'hecke_orbit_code': 4503599660929779, 'n': 56, 'trace_an': 0}
-
id: 66935056
{'hecke_orbit_code': 4503599660929779, 'n': 57, 'trace_an': 0}
-
id: 66935057
{'hecke_orbit_code': 4503599660929779, 'n': 58, 'trace_an': -6}
-
id: 66935058
{'hecke_orbit_code': 4503599660929779, 'n': 59, 'trace_an': -4}
-
id: 66935059
{'hecke_orbit_code': 4503599660929779, 'n': 60, 'trace_an': 0}
-
id: 66935060
{'hecke_orbit_code': 4503599660929779, 'n': 61, 'trace_an': -6}
-
id: 66935061
{'hecke_orbit_code': 4503599660929779, 'n': 62, 'trace_an': -8}
-
id: 66935062
{'hecke_orbit_code': 4503599660929779, 'n': 63, 'trace_an': 0}
-
id: 66935063
{'hecke_orbit_code': 4503599660929779, 'n': 64, 'trace_an': 7}
-
id: 66935064
{'hecke_orbit_code': 4503599660929779, 'n': 65, 'trace_an': -4}
-
id: 66935065
{'hecke_orbit_code': 4503599660929779, 'n': 66, 'trace_an': 0}
-
id: 66935066
{'hecke_orbit_code': 4503599660929779, 'n': 67, 'trace_an': -4}
-
id: 66935067
{'hecke_orbit_code': 4503599660929779, 'n': 68, 'trace_an': 2}
-
id: 66935068
{'hecke_orbit_code': 4503599660929779, 'n': 69, 'trace_an': 0}
-
id: 66935069
{'hecke_orbit_code': 4503599660929779, 'n': 70, 'trace_an': 0}
-
id: 66935070
{'hecke_orbit_code': 4503599660929779, 'n': 71, 'trace_an': 0}
-
id: 66935071
{'hecke_orbit_code': 4503599660929779, 'n': 72, 'trace_an': 0}
-
id: 66935072
{'hecke_orbit_code': 4503599660929779, 'n': 73, 'trace_an': 14}
-
id: 66935073
{'hecke_orbit_code': 4503599660929779, 'n': 74, 'trace_an': -6}
-
id: 66935074
{'hecke_orbit_code': 4503599660929779, 'n': 75, 'trace_an': 0}
-
id: 66935075
{'hecke_orbit_code': 4503599660929779, 'n': 76, 'trace_an': 0}
-
id: 66935076
{'hecke_orbit_code': 4503599660929779, 'n': 77, 'trace_an': 0}
-
id: 66935077
{'hecke_orbit_code': 4503599660929779, 'n': 78, 'trace_an': 0}
-
id: 66935078
{'hecke_orbit_code': 4503599660929779, 'n': 79, 'trace_an': -4}
-
id: 66935079
{'hecke_orbit_code': 4503599660929779, 'n': 80, 'trace_an': 2}
-
id: 66935080
{'hecke_orbit_code': 4503599660929779, 'n': 81, 'trace_an': 0}
-
id: 66935081
{'hecke_orbit_code': 4503599660929779, 'n': 82, 'trace_an': 2}
-
id: 66935082
{'hecke_orbit_code': 4503599660929779, 'n': 83, 'trace_an': 12}
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