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mf_newforms • Show schema
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{'Nk2': 3380, 'analytic_conductor': 6.747358970798192, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 6, 'char_parity': 1, 'char_values': [845, 6, [677, 171], [6, 1]], 'cm_discs': [], 'conrey_index': 316, 'conrey_indexes': [316, 361], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, -6, 0, 35, 0, -6, 0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518822804128589, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0], [1, 1, 13, 3, 1, 3, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0], [1, 0, -1, 0, 2, 0, 0, -2], [0, 0, 0, 1, 0, 0, 0, 0], [0, -2, 0, 0, 0, 0, 1, 0], [0, 2, 0, 0, 0, 0, -2, 0], [0, 0, 0, 3, 0, 1, -1, 0], [1, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 1, 0, 0, 0], [0, -2, 0, 2, 0, 1, 0, 0], [4, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, -3, 0, 0, 0, 0, 0], [-2, 0, 2, 0, 2, 0, 0, -2], [0, 0, 0, 1, 0, 1, -1, 0], [0, -2, 0, 0, 0, 0, -1, 0], [0, 1, 0, 0, 0, 0, -2, 0], [0, 0, 0, 4, 0, 2, -2, 0], [4, 0, -4, 0, 3, 0, 0, -3], [0, 0, 0, 0, -1, 0, 0, 0], [0, -2, 0, 2, 0, 3, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -4], [0, 10, 0, -10, 0, -6, 0, 0], [0, 0, 0, 0, -4, 0, 0, 0], [2, 0, -2, 0, 1, 0, 0, -1], [0, 0, 0, 6, 0, -3, 3, 0], [0, -3, 0, 0, 0, 0, -1, 0], [0, -2, 0, 0, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0], [-2, 0, 2, 0, -2, 0, 0, 2], [0, 0, -1, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 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0, 0, 8, 0], [0, 0, 36, 0, 12, 0, 0, 0], [28, 0, 0, 0, 0, 0, 0, 3], [0, 0, 4, 0, -13, 0, 0, 0], [0, 0, -12, 0, -15, 0, 0, 0], [-12, 0, 0, 0, 0, 0, 0, 0], [8, 0, -8, 0, -6, 0, 0, 6], [0, -14, 0, 0, 0, 0, 2, 0], [-6, 0, 0, 0, 0, 0, 0, 12], [0, 0, 0, -18, 0, 26, -26, 0], [0, 14, 0, -14, 0, 22, 0, 0], [-10, 0, 10, 0, 32, 0, 0, -32], [0, 0, 0, 14, 0, 24, -24, 0], [-16, 0, 16, 0, -20, 0, 0, 20], [0, -48, 0, 48, 0, -6, 0, 0], [0, 0, 0, 18, 0, -12, 12, 0], [0, 0, -32, 0, 12, 0, 0, 0], [-26, 0, 26, 0, -2, 0, 0, 2]], 'char_orbit_index': 13, 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'hecke_orbit_code': 22518822804128589, 'hecke_ring_character_values': [[677, [1, 0, 0, 0, 0, 0, 0, 0]], [171, [1, 0, -1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 2, 1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 1, 1], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 1, -1], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, -1, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, -1], [0, 0, 0, 1, 0, 1, 0, -1], [0, 1, 0, 1, 0, -1, 0, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '845.2.m.f', 'level': 845, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3380, 'analytic_conductor': 6.747358970798192, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 6, 'char_parity': 1, 'char_values': [845, 6, [677, 171], [6, 1]], 'conrey_index': 316, 'cusp_dim': 156, 'dim': 104, 'eis_dim': 56, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 824667276109, 'hecke_orbit_dims': [4, 4, 4, 8, 8, 8, 8, 12, 12, 36], 'label': '845.2.m', 'level': 845, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'mf_dim': 212, 'mf_new_dim': 104, 'num_forms': 10, 'prim_orbit_index': 5, 'relative_dim': 52, 'sturm_bound': 182, 'trace_bound': 4, 'trace_display': [0, -2, 0, 6], 'traces': [104, 0, -2, 54, 0, 18, 6, 0, -52, 2, 0, -20, 0, -12, 6, -54, -2, 0, -12, -12, 0, 16, 10, 12, -104, 0, 4, 18, 12, -4, 0, -6, -42, 0, -10, 16, -6, 64, 0, 12, -12, 16, 2, 0, 0, 42, 0, -8, 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84, 540, -6, -1388, 0, -20, 78, -836, 16, 0, 24, -180, 0, -716, -54, -18, 720, 0, 392, 12, -304, 724, 0, -258, 36, 0, 26, 76, 84, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 532148
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '65.2.a.b', 'target_level': 65, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 532149
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '325.2.a.i', 'target_level': 325, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 532150
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '325.2.b.f', 'target_level': 325, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 532151
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '325.2.b.f', 'target_level': 325, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 532152
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '585.2.a.m', 'target_level': 585, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 532153
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '845.2.a.g', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 532154
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.c.b', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 532155
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.c.b', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 532156
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.e.c', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 532157
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.e.c', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 532158
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '845.2.e.h', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 532159
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '845.2.e.h', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 532160
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.m.f', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 532161
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.m.f', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 532162
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.m.f', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 532163
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.m.f', 'target_level': 845, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 532164
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1040.2.a.j', 'target_level': 1040, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 532165
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2925.2.a.u', 'target_level': 2925, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '195.bh', 'twisting_char_orbit': 34, 'weight': 2}
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id: 532166
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2925.2.c.r', 'target_level': 2925, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '195.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 532167
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2925.2.c.r', 'target_level': 2925, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '195.bn', 'twisting_char_orbit': 40, 'weight': 2}
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id: 532168
{'conductor': 91, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3185.2.a.j', 'target_level': 3185, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '91.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 532169
{'conductor': 104, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '4160.2.a.z', 'target_level': 4160, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '104.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 532170
{'conductor': 104, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '4160.2.a.bf', 'target_level': 4160, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '104.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 532171
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4225.2.a.r', 'target_level': 4225, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 532172
{'conductor': 260, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '5200.2.a.bu', 'target_level': 5200, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '260.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 532173
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '7605.2.a.x', 'target_level': 7605, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 532174
{'conductor': 143, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '7865.2.a.j', 'target_level': 7865, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '143.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 532175
{'conductor': 156, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '845.2.m.f', 'source_level': 845, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 56, 'target_is_minimal': False, 'target_label': '9360.2.a.cd', 'target_level': 9360, 'twist_class_label': '65.2.a.b', 'twist_class_level': 65, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1400400
{'charpoly_factorization': [[[1, 0, -6, 0, 35, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 22518822804128589, 'p': 2}
-
id: 1400401
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 3}
-
id: 1400402
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 22518822804128589, 'p': 5}
-
id: 1400403
{'charpoly_factorization': [[[256, 0, -384, 0, 560, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 22518822804128589, 'p': 7}
-
id: 1400404
{'charpoly_factorization': [[[16, 0, -48, 0, 140, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 22518822804128589, 'p': 11}
-
id: 1400405
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22518822804128589, 'p': 13}
-
id: 1400406
{'charpoly_factorization': [[[16, -16, 20, 4, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 17}
-
id: 1400407
{'charpoly_factorization': [[[16, 0, -48, 0, 140, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 22518822804128589, 'p': 19}
-
id: 1400408
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 23}
-
id: 1400409
{'charpoly_factorization': [[[1024, 0, 32, 0, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 29}
-
id: 1400410
{'charpoly_factorization': [[[324, 0, 108, 0, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 31}
-
id: 1400411
{'charpoly_factorization': [[[5184, 0, -72, 0, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 37}
-
id: 1400412
{'charpoly_factorization': [[[614656, 0, -68992, 0, 6960, 0, -88, 0, 1], 1]], 'hecke_orbit_code': 22518822804128589, 'p': 41}
-
id: 1400413
{'charpoly_factorization': [[[1156, -272, 98, 8, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 43}
-
id: 1400414
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 47}
-
id: 1400415
{'charpoly_factorization': [[[-36, 12, 1], 4]], 'hecke_orbit_code': 22518822804128589, 'p': 53}
-
id: 1400416
{'charpoly_factorization': [[[104976, 0, -34992, 0, 11340, 0, -108, 0, 1], 1]], 'hecke_orbit_code': 22518822804128589, 'p': 59}
-
id: 1400417
{'charpoly_factorization': [[[64, -8, 1], 4]], 'hecke_orbit_code': 22518822804128589, 'p': 61}
-
id: 1400418
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 67}
-
id: 1400419
{'charpoly_factorization': [[[78074896, 0, -1802544, 0, 32780, 0, -204, 0, 1], 1]], 'hecke_orbit_code': 22518822804128589, 'p': 71}
-
id: 1400420
{'charpoly_factorization': [[[72, 0, 1], 4]], 'hecke_orbit_code': 22518822804128589, 'p': 73}
-
id: 1400421
{'charpoly_factorization': [[[-72, 0, 1], 4]], 'hecke_orbit_code': 22518822804128589, 'p': 79}
-
id: 1400422
{'charpoly_factorization': [[[784, 0, 88, 0, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 83}
-
id: 1400423
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 2]], 'hecke_orbit_code': 22518822804128589, 'p': 89}
-
id: 1400424
{'charpoly_factorization': [[[614656, 0, -56448, 0, 4400, 0, -72, 0, 1], 1]], 'hecke_orbit_code': 22518822804128589, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 6, 'label': '845.2.m.f', 'level': 845, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 173426000
{'hecke_orbit_code': 22518822804128589, 'n': 1, 'trace_an': 8}
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id: 173426001
{'hecke_orbit_code': 22518822804128589, 'n': 2, 'trace_an': 0}
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id: 173426002
{'hecke_orbit_code': 22518822804128589, 'n': 3, 'trace_an': 0}
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id: 173426003
{'hecke_orbit_code': 22518822804128589, 'n': 4, 'trace_an': 4}
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id: 173426004
{'hecke_orbit_code': 22518822804128589, 'n': 5, 'trace_an': 0}
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id: 173426005
{'hecke_orbit_code': 22518822804128589, 'n': 6, 'trace_an': 0}
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id: 173426006
{'hecke_orbit_code': 22518822804128589, 'n': 7, 'trace_an': 0}
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id: 173426007
{'hecke_orbit_code': 22518822804128589, 'n': 8, 'trace_an': 0}
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id: 173426008
{'hecke_orbit_code': 22518822804128589, 'n': 9, 'trace_an': 4}
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id: 173426009
{'hecke_orbit_code': 22518822804128589, 'n': 10, 'trace_an': -4}
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id: 173426010
{'hecke_orbit_code': 22518822804128589, 'n': 11, 'trace_an': 0}
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id: 173426011
{'hecke_orbit_code': 22518822804128589, 'n': 12, 'trace_an': 32}
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id: 173426012
{'hecke_orbit_code': 22518822804128589, 'n': 13, 'trace_an': 0}
-
id: 173426013
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{'hecke_orbit_code': 22518822804128589, 'n': 996, 'trace_an': 0}
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id: 173426996
{'hecke_orbit_code': 22518822804128589, 'n': 997, 'trace_an': -104}
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id: 173426997
{'hecke_orbit_code': 22518822804128589, 'n': 998, 'trace_an': -192}
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id: 173426998
{'hecke_orbit_code': 22518822804128589, 'n': 999, 'trace_an': 0}
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id: 173426999
{'hecke_orbit_code': 22518822804128589, 'n': 1000, 'trace_an': 24}