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mf_newforms • Show schema
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{'Nk2': 3456, 'analytic_conductor': 6.899074734638625, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [864, 3, [703, 325, 353], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 289, 'conrey_indexes': [289, 577], 'dim': 8, 'field_disc': 170772624, 'field_disc_factorization': [[2, 4], [3, 6], [11, 4]], 'field_poly': [16, -24, 20, -12, 6, -6, 5, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [64, -8, 9, 1, 1]], [7, [11664, 0, 2916, 0, 621, 0, 27, 0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518547926221664, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 324, 'hecke_ring_index_factorization': [[2, 2], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 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, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -2, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 0, 0, 3, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 2, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, 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, 0, 0], [0, -3, -2, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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0, -6, 0, 0], [0, 0, 0, 0, -20, 0, -11, 0], [0, -2, 0, 5, 0, 0, 0, 2], [8, 0, 0, 0, 0, -7, 0, 0], [0, 0, 8, 0, 0, 0, 0, 9], [0, -10, -12, -12, 0, 0, 0, 0], [0, 0, 0, 0, 25, 0, -6, 0], [0, -13, 0, 2, 0, 0, 0, 13], [0, 0, -8, -8, 0, 0, 0, 0], [-11, 0, 0, 0, 20, 9, 9, 0]], 'char_orbit_index': 9, 'field_poly': [16, -24, 20, -12, 6, -6, 5, -3, 1], 'hecke_orbit_code': 22518547926221664, 'hecke_ring_character_values': [[703, [1, 0, 0, 0, 0, 0, 0, 0]], [325, [1, 0, 0, 0, 0, 0, 0, 0]], [353, [0, 0, 0, 0, -1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 4, 8, 8, 8, 4, 2, 2], 'hecke_ring_inverse_denominators': [1, 6, 6, 6, 6, 6, 6, 6], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, -1, 1, 1, -1, -1], [0, 2, 1, 2, -3, 0, -3, -1], [-4, 3, 3, 3, 10, 1, 2, 0], [0, 3, -2, -1, 3, 3, 3, 3], [32, 0, 1, 0, -17, -2, -1, 5], [24, -1, 5, -5, 0, 9, 0, 2], [8, 1, 0, 5, -5, 13, -13, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 4, 6, 0, 3, 0, 0, -1], [-24, 4, 0, 6, -6, 3, 3, -1], [48, -44, 24, -6, 6, -9, 3, -1], [-24, 28, -24, 10, -6, 7, -5, 3], [20, -20, 14, -6, 5, -6, 4, -1], [20, -18, 13, -5, 4, -5, 3, -2], [-24, 16, -15, 6, -3, 6, -3, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '864.2.i.f', 'level': 864, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3456, 'analytic_conductor': 6.899074734638625, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [864, 3, [703, 325, 353], [3, 3, 2]], 'conrey_index': 289, 'cusp_dim': 240, 'dim': 24, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 549789369184, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 8], 'label': '864.2.i', 'level': 864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 336, 'mf_new_dim': 24, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 288, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, -560, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -520, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 541822
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '288.2.i.f', 'target_level': 288, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541823
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '288.2.i.f', 'target_level': 288, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541824
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '288.2.i.f', 'target_level': 288, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541825
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '288.2.i.f', 'target_level': 288, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541826
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '576.2.i.n', 'target_level': 576, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541827
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '576.2.i.n', 'target_level': 576, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541828
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '576.2.i.n', 'target_level': 576, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 541829
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '576.2.i.n', 'target_level': 576, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 541830
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '864.2.i.f', 'target_level': 864, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 541831
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '864.2.i.f', 'target_level': 864, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541832
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '864.2.i.f', 'target_level': 864, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 541833
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '864.2.i.f', 'target_level': 864, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541834
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1728.2.i.n', 'target_level': 1728, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541835
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1728.2.i.n', 'target_level': 1728, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541836
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1728.2.i.n', 'target_level': 1728, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 541837
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1728.2.i.n', 'target_level': 1728, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 541838
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2592.2.a.u', 'target_level': 2592, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541839
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2592.2.a.u', 'target_level': 2592, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541840
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '2592.2.a.x', 'target_level': 2592, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 541841
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '2592.2.a.x', 'target_level': 2592, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541842
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '5184.2.a.cc', 'target_level': 5184, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 541843
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '5184.2.a.cc', 'target_level': 5184, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 541844
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '5184.2.a.cf', 'target_level': 5184, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 541845
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '864.2.i.f', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '5184.2.a.cf', 'target_level': 5184, 'twist_class_label': '288.2.i.f', 'twist_class_level': 288, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1423625
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22518547926221664, 'p': 2}
-
id: 1423626
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22518547926221664, 'p': 3}
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id: 1423627
{'charpoly_factorization': [[[64, -8, 9, 1, 1], 2]], 'hecke_orbit_code': 22518547926221664, 'p': 5}
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id: 1423628
{'charpoly_factorization': [[[11664, 0, 2916, 0, 621, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 22518547926221664, 'p': 7}
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id: 1423629
{'charpoly_factorization': [[[729, 0, 972, 0, 1269, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 22518547926221664, 'p': 11}
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id: 1423630
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 2]], 'hecke_orbit_code': 22518547926221664, 'p': 13}
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id: 1423631
{'charpoly_factorization': [[[-8, 1, 1], 4]], 'hecke_orbit_code': 22518547926221664, 'p': 17}
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id: 1423632
{'charpoly_factorization': [[[432, 0, -45, 0, 1], 2]], 'hecke_orbit_code': 22518547926221664, 'p': 19}
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id: 1423633
{'charpoly_factorization': [[[11664, 0, 2916, 0, 621, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 22518547926221664, 'p': 23}
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id: 1423634
{'charpoly_factorization': [[[4, -10, 27, 5, 1], 2]], 'hecke_orbit_code': 22518547926221664, 'p': 29}
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id: 1423635
{'charpoly_factorization': [[[15116544, 0, 524880, 0, 14337, 0, 135, 0, 1], 1]], 'hecke_orbit_code': 22518547926221664, 'p': 31}
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id: 1423636
{'charpoly_factorization': [[[-4, 1], 8]], 'hecke_orbit_code': 22518547926221664, 'p': 37}
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id: 1423637
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 22518547926221664, 'p': 41}
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id: 1423638
{'charpoly_factorization': [[[729, 0, 972, 0, 1269, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 22518547926221664, 'p': 43}
-
id: 1423639
{'charpoly_factorization': [[[11664, 0, 2916, 0, 621, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 22518547926221664, 'p': 47}
-
id: 1423640
{'charpoly_factorization': [[[-4, 1], 8]], 'hecke_orbit_code': 22518547926221664, 'p': 53}
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id: 1423641
{'charpoly_factorization': [[[60886809, 0, 1404540, 0, 24597, 0, 180, 0, 1], 1]], 'hecke_orbit_code': 22518547926221664, 'p': 59}
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id: 1423642
{'charpoly_factorization': [[[1024, -416, 201, 13, 1], 2]], 'hecke_orbit_code': 22518547926221664, 'p': 61}
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id: 1423643
{'charpoly_factorization': [[[60886809, 0, 1404540, 0, 24597, 0, 180, 0, 1], 1]], 'hecke_orbit_code': 22518547926221664, 'p': 67}
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id: 1423644
{'charpoly_factorization': [[[1728, 0, -108, 0, 1], 2]], 'hecke_orbit_code': 22518547926221664, 'p': 71}
-
id: 1423645
{'charpoly_factorization': [[[48, -15, 1], 4]], 'hecke_orbit_code': 22518547926221664, 'p': 73}
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id: 1423646
{'charpoly_factorization': [[[15116544, 0, 524880, 0, 14337, 0, 135, 0, 1], 1]], 'hecke_orbit_code': 22518547926221664, 'p': 79}
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id: 1423647
{'charpoly_factorization': [[[2985984, 0, 357696, 0, 41121, 0, 207, 0, 1], 1]], 'hecke_orbit_code': 22518547926221664, 'p': 83}
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id: 1423648
{'charpoly_factorization': [[[16, 14, 1], 4]], 'hecke_orbit_code': 22518547926221664, 'p': 89}
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id: 1423649
{'charpoly_factorization': [[[81, 9, 1], 4]], 'hecke_orbit_code': 22518547926221664, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 6, 'label': '864.2.i.f', 'level': 864, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 172883000
{'hecke_orbit_code': 22518547926221664, 'n': 1, 'trace_an': 8}
-
id: 172883001
{'hecke_orbit_code': 22518547926221664, 'n': 2, 'trace_an': 0}
-
id: 172883002
{'hecke_orbit_code': 22518547926221664, 'n': 3, 'trace_an': 0}
-
id: 172883003
{'hecke_orbit_code': 22518547926221664, 'n': 4, 'trace_an': 0}
-
id: 172883004
{'hecke_orbit_code': 22518547926221664, 'n': 5, 'trace_an': -2}
-
id: 172883005
{'hecke_orbit_code': 22518547926221664, 'n': 6, 'trace_an': 0}
-
id: 172883006
{'hecke_orbit_code': 22518547926221664, 'n': 7, 'trace_an': 0}
-
id: 172883007
{'hecke_orbit_code': 22518547926221664, 'n': 8, 'trace_an': 0}
-
id: 172883008
{'hecke_orbit_code': 22518547926221664, 'n': 9, 'trace_an': 0}
-
id: 172883009
{'hecke_orbit_code': 22518547926221664, 'n': 10, 'trace_an': 0}
-
id: 172883010
{'hecke_orbit_code': 22518547926221664, 'n': 11, 'trace_an': 0}
-
id: 172883011
{'hecke_orbit_code': 22518547926221664, 'n': 12, 'trace_an': 0}
-
id: 172883012
{'hecke_orbit_code': 22518547926221664, 'n': 13, 'trace_an': -6}
-
id: 172883013
{'hecke_orbit_code': 22518547926221664, 'n': 14, 'trace_an': 0}
-
id: 172883014
{'hecke_orbit_code': 22518547926221664, 'n': 15, 'trace_an': 0}
-
id: 172883015
{'hecke_orbit_code': 22518547926221664, 'n': 16, 'trace_an': 0}
-
id: 172883016
{'hecke_orbit_code': 22518547926221664, 'n': 17, 'trace_an': -4}
-
id: 172883017
{'hecke_orbit_code': 22518547926221664, 'n': 18, 'trace_an': 0}
-
id: 172883018
{'hecke_orbit_code': 22518547926221664, 'n': 19, 'trace_an': 0}
-
id: 172883019
{'hecke_orbit_code': 22518547926221664, 'n': 20, 'trace_an': 0}
-
id: 172883020
{'hecke_orbit_code': 22518547926221664, 'n': 21, 'trace_an': 0}
-
id: 172883021
{'hecke_orbit_code': 22518547926221664, 'n': 22, 'trace_an': 0}
-
id: 172883022
{'hecke_orbit_code': 22518547926221664, 'n': 23, 'trace_an': 0}
-
id: 172883023
{'hecke_orbit_code': 22518547926221664, 'n': 24, 'trace_an': 0}
-
id: 172883024
{'hecke_orbit_code': 22518547926221664, 'n': 25, 'trace_an': -14}
-
id: 172883025
{'hecke_orbit_code': 22518547926221664, 'n': 26, 'trace_an': 0}
-
id: 172883026
{'hecke_orbit_code': 22518547926221664, 'n': 27, 'trace_an': 0}
-
id: 172883027
{'hecke_orbit_code': 22518547926221664, 'n': 28, 'trace_an': 0}
-
id: 172883028
{'hecke_orbit_code': 22518547926221664, 'n': 29, 'trace_an': -10}
-
id: 172883029
{'hecke_orbit_code': 22518547926221664, 'n': 30, 'trace_an': 0}
-
id: 172883030
{'hecke_orbit_code': 22518547926221664, 'n': 31, 'trace_an': 0}
-
id: 172883031
{'hecke_orbit_code': 22518547926221664, 'n': 32, 'trace_an': 0}
-
id: 172883032
{'hecke_orbit_code': 22518547926221664, 'n': 33, 'trace_an': 0}
-
id: 172883033
{'hecke_orbit_code': 22518547926221664, 'n': 34, 'trace_an': 0}
-
id: 172883034
{'hecke_orbit_code': 22518547926221664, 'n': 35, 'trace_an': 0}
-
id: 172883035
{'hecke_orbit_code': 22518547926221664, 'n': 36, 'trace_an': 0}
-
id: 172883036
{'hecke_orbit_code': 22518547926221664, 'n': 37, 'trace_an': 32}
-
id: 172883037
{'hecke_orbit_code': 22518547926221664, 'n': 38, 'trace_an': 0}
-
id: 172883038
{'hecke_orbit_code': 22518547926221664, 'n': 39, 'trace_an': 0}
-
id: 172883039
{'hecke_orbit_code': 22518547926221664, 'n': 40, 'trace_an': 0}
-
id: 172883040
{'hecke_orbit_code': 22518547926221664, 'n': 41, 'trace_an': 4}
-
id: 172883041
{'hecke_orbit_code': 22518547926221664, 'n': 42, 'trace_an': 0}
-
id: 172883042
{'hecke_orbit_code': 22518547926221664, 'n': 43, 'trace_an': 0}
-
id: 172883043
{'hecke_orbit_code': 22518547926221664, 'n': 44, 'trace_an': 0}
-
id: 172883044
{'hecke_orbit_code': 22518547926221664, 'n': 45, 'trace_an': 0}
-
id: 172883045
{'hecke_orbit_code': 22518547926221664, 'n': 46, 'trace_an': 0}
-
id: 172883046
{'hecke_orbit_code': 22518547926221664, 'n': 47, 'trace_an': 0}
-
id: 172883047
{'hecke_orbit_code': 22518547926221664, 'n': 48, 'trace_an': 0}
-
id: 172883048
{'hecke_orbit_code': 22518547926221664, 'n': 49, 'trace_an': -26}
-
id: 172883049
{'hecke_orbit_code': 22518547926221664, 'n': 50, 'trace_an': 0}
-
id: 172883050
{'hecke_orbit_code': 22518547926221664, 'n': 51, 'trace_an': 0}
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id: 172883051
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