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mf_newforms • Show schema
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{'Nk2': 1080, 'analytic_conductor': 2.1559608545745705, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 12, 'char_parity': 1, 'char_values': [270, 12, [191, 217], [10, 3]], 'cm_discs': [], 'conrey_index': 17, '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': [[7, [625, 1000, 800, 880, 679, 176, 32, 8, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 824667275534, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 45, 12, 1, 12, 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mf_hecke_cc • Show schema
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-0.3876185917540466, -0.2199732572369731, -0.4000974075205712, -0.05010490214394278, -0.11106587601315428, -0.09242252294934412, 0.2025195843916195, -0.0077509884243284685, 0.0432295143146688, -0.3597106708428467, -0.1820690919915924, -0.3019979682376549, -0.34010939674356805, -0.4915899241574281, -0.2302634522033078, 0.2198400586893045, -0.4211403502950753, 0.11894204542243093, -0.024164666921792793, -0.1853525725498802, -0.4255209908272723, -0.2729604704960801, -0.4231545436444631, -0.3497695992421247, -0.40785589035552056, -0.30067062011057955, -0.05774148875470766, -0.35513365306654276, 0.16062602395277187, -0.4075781266607047, -0.42867095370916375, -0.4280060195173997], 'char_orbit_index': 13, 'conrey_index': 143, 'dual_conrey_index': 17, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': 0.9659258262890683, 'embedding_root_real': 0.25881904510252074, 'hecke_orbit': 1, 'hecke_orbit_code': 824667275534, 'label': '270.2.m.a.143.1', 'level': 270, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1080, 'analytic_conductor': 2.1559608545745705, 'char_conductor': 45, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 12, 'char_parity': 1, 'char_values': [270, 12, [191, 217], [10, 3]], 'conrey_index': 17, 'cusp_dim': 168, 'dim': 24, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 824667275534, 'hecke_orbit_dims': [8, 16], 'label': '270.2.m', 'level': 270, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 264, 'mf_new_dim': 24, 'num_forms': 2, 'prim_orbit_index': 12, 'relative_dim': 6, 'sturm_bound': 108, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 12, 0, 0, 0, 12, 0, 0, 24, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -36, 0, 0, -36, 0, 0, 0, 0, -24, -48, 0, 0, -48, 0, 0, 0, 0, -24, -12, 0, 12, 0, 0, -12, 0, 0, 0, 24, 0, -12, 36, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, -48, -60, 0, -24, 72, 0, 0, 0, 0, 48, 24, 0, 0, -60, 0, -36, 0, 0, 0, 48, 0, -24, 0, 0, 0, 0, 0, 0, 84, 0, 0, 24, 0, 36, 0, 0, 24, 0, 0, 36, -60, 0, 0, 0, 0, 96, 0, 0, 48, -72, 0, 36, 0, 0, 0, -24, 0, 0, -60, 0, 24, 0, 0, 0, -72, 0, 12, 0, 0, 24, 0, 0, 0, 24, 0, 36, 60, 0, 0, 0, 0, 48, 0, 0, -12, 72, 0, 0, 0, 0, 0, 72, 0, -24, 24, 0, 0, 0, 0, -120, 96, 0, 0, 132, 0, 24, 0, 0, 48, 96, 0, 24, 0, 0, -24, 0, 0, 0, -24, 0, -24, -12, 0, -24, 0, 0, 0, 0, 0, -72, -12, 0, 0, 0, 0, -24, -60, 0, -12, -168, 0, -96, 0, 0, 0, -168, 0, 0, -36, 0, -12, 0, 0, 24, -72, 0, -60, 0, 0, -36, 0, 0, 0, -156, 0, 0, -36, 0, -24, 0, 0, -96, 0, 0, -12, 60, 0, 0, 0, 0, 72, 24, 0, 36, 120, 0, -12, 0, 0, 48, 36, 0, 0, 72, 0, 60, 0, 0, -24, 12, 0, 36, 0, 0, 24, 0, 0, 0, 24, 0, 0, -228, 0, -36, 0, 0, -72, 0, 0, 48, -120, 0, 0, 0, 0, -120, -48, 0, -36, 24, 0, 72, 0, 0, -48, 0, 0, 0, 12, 0, -24, 0, 0, -96, -120, 0, 24, 0, 0, -24, 0, 0, 0, -36, 0, -48, 24, 0, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, 0, 0, 240, 0, 24, 12, 0, 24, 0, 0, 72, 132, 0, 0, 180, 0, -48, 0, 0, 48, 264, 0, -36, 0, 0, 12, 0, 0, 0, 60, 0, 12, -24, 0, 144, 0, 0, 72, 0, 0, 72, -72, 0, 0, 0, 0, 216, -36, 0, 12, 0, 0, 24, 0, 0, 168, 24, 0, 0, 0, 0, 24, 0, 0, 144, 0, 0, 48, 0, 0, 96, 0, 0, 0, -204, 0, 156, 108, 0, 36, 0, 0, 168, 0, 0, -12, -12, 0, 0, 0, 0, 48, 12, 0, 0, 84, 0, 0, 0, 0, -240, 24, 0, 0, -96, 0, 36, 0, 0, 24, -300, 0, -48, 0, 0, -96, 0, 0, 0, 48, 0, 12, -168, 0, -96, 0, 0, -48, 0, 0, -96, -144, 0, 0, 0, 0, -192, 60, 0, -84, 48, 0, -84, 0, 0, 0, 48, 0, 0, -36, 0, -84, 0, 0, 144, -72, 0, -48, 0, 0, 24, 0, 0, 0, 0, 0, -120, 12, 0, 0, 0, 0, 24, 0, 0, 48, 24, 0, 0, 0, 0, 72, 168, 0, 36, 132, 0, -60, 0, 0, -24, 84, 0, 0, 144, 0, 36, 0, 0, -240, 72, 0, -12, 0, 0, 0, 0, 0, 0, -36, 0, 0, -108, 0, -48, 0, 0, -48, 0, 0, 0, -24, 0, 0, 0, 0, -168, -48, 0, -36, 84, 0, 48, 0, 0, -96, -156, 0, 0, 24, 0, -12, 0, 0, -288, 36, 0, 48, 0, 0, -120, 0, 0, 0, -204, 0, -168, -36, 0, 0, 0, 0, -168, 0, 0, 0, -72, 0, 0, 0, 0, -168, -168, 0, 60, -48, 0, 36, 0, 0, 240, 60, 0, 0, -36, 0, -72, 0, 0, 0, -252, 0, 84, 0, 0, 72, 0, 0, 0, 0, 0, 24, -36, 0, 24, 0, 0, 192, 0, 0, 48, -60, 0, 0, 0, 0, 168, -72, 0, 108, -240, 0, 48, 0, 0, 120, 48, 0, 0, 84, 0, 144, 0, 0, -24, -204, 0, 0, 0, 0, 120, 0, 0, 0, 204, 0, 132, 108, 0, 48, 0, 0, 288, 0, 0, 24, 192, 0, 0, 0, 0, 0, 228, 0, -24, -72, 0, 12, 0, 0, -192, -24, 0, 0, 48, 0, -72, 0, 0, 120, 336, 0, 12, 0, 0, -12, 0, 0, 0, 60, 0, 36, 288, 0, -72, 0, 0, -48, 0, 0, -264, -48, 0, 0, 0, 0, 96, 12, 0, -24, 180, 0, -84, 0, 0, -144, 0, 0, 0, -24, 0, -24, 0, 0, 336, -24, 0, -156, 0, 0, -72, 0, 0, 0, 60, 0, -24, 24, 0, -84, 0, 0, 96, 0, 0, 48, -72, 0, 0, 0, 0, 96, -144, 0, -84, -48, 0, -24, 0, 0, 240, -12, 0, 0, -288, 0, 96, 0, 0, -120, 372, 0, 72, 0, 0, 96, 0, 0, 0, -12, 0, 0, 48, 0, -36, 0, 0, -144, 0, 0, 168, 72, 0, 0, 0, 0, -96, 12, 0, -72, -192, 0, 96, 0, 0, 24, -24, 0, 0, -60, 0, -60, 0, 0, -96, 288, 0, 12, 0, 0, 0, 0, 0, 0, 276, 0, -72, -48, 0, -12, 0, 0, -264, 0, 0, 12, 24, 0, 0, 0, 0, -192, -60, 0, 24, -12, 0, 144, 0, 0, 192, -48, 0, 0, 60, 0, -84, 0, 0, 48, -264, 0, 48, 0, 0, 12, 0, 0, 0, -120, 0, 36, 96, 0, 132, 0, 0, 24, 0, 0, 144, 156, 0, 0, 0, 0, -48, 36, 0, 108, 156, 0, 24, 0, 0, 144, -348, 0, 0, -108, 0, 60, 0, 0, -96, -48, 0, 84, 0, 0, 12, 0, 0, 0, -108, 0, 144, -120, 0, 156, 0, 0, 144, 0, 0, 12, -168, 0, 0, 0, 0, 96, -360, 0, -24, 144, 0, 0, 0, 0, -96, -36, 0, 0, -288, 0, 12, 0, 0, 96], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 9977617
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 143, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275534, 'target_is_minimal': False, 'target_label': '270.2.m.a.143.1', 'target_level': 270, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 9977618
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 83, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 755947798618, 'target_is_minimal': True, 'target_label': '90.2.l.a.83.2', 'target_level': 90, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 9977619
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 197, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275534, 'target_is_minimal': False, 'target_label': '270.2.m.a.197.1', 'target_level': 270, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 9977620
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 1007, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022697309406534, 'target_is_minimal': False, 'target_label': '1350.2.q.g.1007.2', 'target_level': 1350, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 9977621
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 143, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022697309406534, 'target_is_minimal': False, 'target_label': '1350.2.q.g.143.2', 'target_level': 1350, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 9977622
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 323, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258309418, 'target_is_minimal': False, 'target_label': '810.2.f.b.323.2', 'target_level': 810, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 9977623
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 23, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 755947798618, 'target_is_minimal': True, 'target_label': '90.2.l.a.23.2', 'target_level': 90, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 9977624
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 233, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275534, 'target_is_minimal': False, 'target_label': '270.2.m.a.233.1', 'target_level': 270, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 9977625
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 323, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503943258309418, 'target_is_minimal': False, 'target_label': '810.2.f.b.323.3', 'target_level': 810, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 9977626
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 353, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4947835880144, 'target_is_minimal': False, 'target_label': '720.2.cu.a.353.2', 'target_level': 720, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 9977627
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 47, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 755947798618, 'target_is_minimal': True, 'target_label': '90.2.l.a.47.2', 'target_level': 90, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 9977628
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 407, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1030825705922, 'target_is_minimal': False, 'target_label': '450.2.p.a.407.1', 'target_level': 450, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 9977629
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 443, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1030825705922, 'target_is_minimal': False, 'target_label': '450.2.p.a.443.1', 'target_level': 450, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 9977630
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 113, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4947835880144, 'target_is_minimal': False, 'target_label': '720.2.cu.a.113.2', 'target_level': 720, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 9977631
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 647, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943258309418, 'target_is_minimal': False, 'target_label': '810.2.f.b.647.4', 'target_level': 810, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 9977632
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 293, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1030825705922, 'target_is_minimal': False, 'target_label': '450.2.p.a.293.1', 'target_level': 450, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 9977633
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 647, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309418, 'target_is_minimal': False, 'target_label': '810.2.f.b.647.1', 'target_level': 810, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 9977634
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 257, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1030825705922, 'target_is_minimal': False, 'target_label': '450.2.p.a.257.1', 'target_level': 450, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 9977635
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 1043, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022697309406534, 'target_is_minimal': False, 'target_label': '1350.2.q.g.1043.2', 'target_level': 1350, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 9977636
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 77, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 755947798618, 'target_is_minimal': True, 'target_label': '90.2.l.a.77.2', 'target_level': 90, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 9977637
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 557, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022697309406534, 'target_is_minimal': False, 'target_label': '1350.2.q.g.557.2', 'target_level': 1350, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 9977638
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 17, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275534, 'target_is_minimal': False, 'target_label': '270.2.m.a.17.1', 'target_level': 270, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 9977639
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 497, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4947835880144, 'target_is_minimal': False, 'target_label': '720.2.cu.a.497.2', 'target_level': 720, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 9977640
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 824667275534, 'source_is_minimal': False, 'source_label': '270.2.m.a.143.1', 'source_level': 270, 'target_conrey_index': 257, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4947835880144, 'target_is_minimal': False, 'target_label': '720.2.cu.a.257.2', 'target_level': 720, 'twist_class_label': '90.2.l.a.23.2', 'twist_class_level': 90, 'twisting_char_label': '180.67', 'twisting_conrey_index': 67, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 614875
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 2}
-
id: 614876
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 824667275534, 'p': 3}
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id: 614877
{'charpoly_factorization': [[[25, 30, 17, 6, 1], 2]], 'hecke_orbit_code': 824667275534, 'p': 5}
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id: 614878
{'charpoly_factorization': [[[625, 1000, 800, 880, 679, 176, 32, 8, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 7}
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id: 614879
{'charpoly_factorization': [[[16, -48, 52, -12, 1], 2]], 'hecke_orbit_code': 824667275534, 'p': 11}
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id: 614880
{'charpoly_factorization': [[[20736, 0, 0, 0, -144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 13}
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id: 614881
{'charpoly_factorization': [[[16, 0, 0, 0, 392, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 17}
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id: 614882
{'charpoly_factorization': [[[100, 0, 44, 0, 1], 2]], 'hecke_orbit_code': 824667275534, 'p': 19}
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id: 614883
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 23}
-
id: 614884
{'charpoly_factorization': [[[1, 0, 10, 0, 99, 0, 10, 0, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 29}
-
id: 614885
{'charpoly_factorization': [[[4, 8, 18, -4, 1], 2]], 'hecke_orbit_code': 824667275534, 'p': 31}
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id: 614886
{'charpoly_factorization': [[[18, 6, 1], 4]], 'hecke_orbit_code': 824667275534, 'p': 37}
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id: 614887
{'charpoly_factorization': [[[841, -174, -17, 6, 1], 2]], 'hecke_orbit_code': 824667275534, 'p': 41}
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id: 614888
{'charpoly_factorization': [[[20736, 0, 0, 0, -144, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 43}
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id: 614889
{'charpoly_factorization': [[[43046721, 0, 0, 0, -6561, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 47}
-
id: 614890
{'charpoly_factorization': [[[6250000, 0, 0, 0, 8456, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 53}
-
id: 614891
{'charpoly_factorization': [[[126247696, 0, 2471920, 0, 37164, 0, 220, 0, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 59}
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id: 614892
{'charpoly_factorization': [[[9, -18, 33, -6, 1], 2]], 'hecke_orbit_code': 824667275534, 'p': 61}
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id: 614893
{'charpoly_factorization': [[[390625, 62500, 5000, 5800, -161, -232, 8, -4, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 67}
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id: 614894
{'charpoly_factorization': [[[16, 0, 40, 0, 1], 2]], 'hecke_orbit_code': 824667275534, 'p': 71}
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id: 614895
{'charpoly_factorization': [[[1600, -320, 32, 8, 1], 2]], 'hecke_orbit_code': 824667275534, 'p': 73}
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id: 614896
{'charpoly_factorization': [[[36, 0, -6, 0, 1], 2]], 'hecke_orbit_code': 824667275534, 'p': 79}
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id: 614897
{'charpoly_factorization': [[[81, -324, 648, -864, 423, 288, 72, 12, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 83}
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id: 614898
{'charpoly_factorization': [[[361, 0, -70, 0, 1], 2]], 'hecke_orbit_code': 824667275534, 'p': 89}
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id: 614899
{'charpoly_factorization': [[[810000, 324000, 64800, 47520, 8604, -1584, 72, -12, 1], 1]], 'hecke_orbit_code': 824667275534, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 1, 'label': '270.2.m.a', 'level': 270, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 11188494
{'hecke_orbit_code': 824667275534, 'n': 1, 'trace_an': 8}
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id: 11188495
{'hecke_orbit_code': 824667275534, 'n': 2, 'trace_an': 0}
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id: 11188496
{'hecke_orbit_code': 824667275534, 'n': 3, 'trace_an': 0}
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id: 11188497
{'hecke_orbit_code': 824667275534, 'n': 4, 'trace_an': 0}
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id: 11188498
{'hecke_orbit_code': 824667275534, 'n': 5, 'trace_an': -12}
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id: 11188499
{'hecke_orbit_code': 824667275534, 'n': 6, 'trace_an': 0}
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id: 11188500
{'hecke_orbit_code': 824667275534, 'n': 7, 'trace_an': -8}
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id: 11188501
{'hecke_orbit_code': 824667275534, 'n': 8, 'trace_an': 0}
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id: 11188502
{'hecke_orbit_code': 824667275534, 'n': 9, 'trace_an': 0}
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id: 11188503
{'hecke_orbit_code': 824667275534, 'n': 10, 'trace_an': 8}
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id: 11188504
{'hecke_orbit_code': 824667275534, 'n': 11, 'trace_an': 24}
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id: 11188505
{'hecke_orbit_code': 824667275534, 'n': 12, 'trace_an': 0}
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id: 11188506
{'hecke_orbit_code': 824667275534, 'n': 13, 'trace_an': 0}
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id: 11188714
{'hecke_orbit_code': 824667275534, 'n': 751, 'trace_an': -24}
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id: 11188715
{'hecke_orbit_code': 824667275534, 'n': 757, 'trace_an': 0}
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id: 11188716
{'hecke_orbit_code': 824667275534, 'n': 761, 'trace_an': 84}
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id: 11188717
{'hecke_orbit_code': 824667275534, 'n': 769, 'trace_an': 0}
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id: 11188718
{'hecke_orbit_code': 824667275534, 'n': 773, 'trace_an': 0}
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id: 11188719
{'hecke_orbit_code': 824667275534, 'n': 787, 'trace_an': 8}
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id: 11188720
{'hecke_orbit_code': 824667275534, 'n': 797, 'trace_an': -48}
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id: 11188721
{'hecke_orbit_code': 824667275534, 'n': 809, 'trace_an': 0}
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id: 11188722
{'hecke_orbit_code': 824667275534, 'n': 811, 'trace_an': 16}
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id: 11188723
{'hecke_orbit_code': 824667275534, 'n': 821, 'trace_an': 12}
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id: 11188724
{'hecke_orbit_code': 824667275534, 'n': 823, 'trace_an': 64}
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id: 11188725
{'hecke_orbit_code': 824667275534, 'n': 827, 'trace_an': 0}
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id: 11188726
{'hecke_orbit_code': 824667275534, 'n': 829, 'trace_an': 0}
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id: 11188727
{'hecke_orbit_code': 824667275534, 'n': 839, 'trace_an': 0}
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id: 11188728
{'hecke_orbit_code': 824667275534, 'n': 841, 'trace_an': 96}
-
id: 11188729
{'hecke_orbit_code': 824667275534, 'n': 853, 'trace_an': 56}
-
id: 11188730
{'hecke_orbit_code': 824667275534, 'n': 857, 'trace_an': -48}
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id: 11188731
{'hecke_orbit_code': 824667275534, 'n': 859, 'trace_an': 0}
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id: 11188732
{'hecke_orbit_code': 824667275534, 'n': 863, 'trace_an': 0}
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id: 11188733
{'hecke_orbit_code': 824667275534, 'n': 877, 'trace_an': -72}
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id: 11188734
{'hecke_orbit_code': 824667275534, 'n': 881, 'trace_an': 0}
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id: 11188735
{'hecke_orbit_code': 824667275534, 'n': 883, 'trace_an': -136}
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id: 11188736
{'hecke_orbit_code': 824667275534, 'n': 887, 'trace_an': -48}
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id: 11188737
{'hecke_orbit_code': 824667275534, 'n': 907, 'trace_an': -4}
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id: 11188738
{'hecke_orbit_code': 824667275534, 'n': 911, 'trace_an': 0}
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id: 11188739
{'hecke_orbit_code': 824667275534, 'n': 919, 'trace_an': 0}
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id: 11188740
{'hecke_orbit_code': 824667275534, 'n': 929, 'trace_an': 0}
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id: 11188741
{'hecke_orbit_code': 824667275534, 'n': 937, 'trace_an': -64}
-
id: 11188742
{'hecke_orbit_code': 824667275534, 'n': 941, 'trace_an': -132}
-
id: 11188743
{'hecke_orbit_code': 824667275534, 'n': 947, 'trace_an': -108}
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id: 11188744
{'hecke_orbit_code': 824667275534, 'n': 953, 'trace_an': 0}
-
id: 11188745
{'hecke_orbit_code': 824667275534, 'n': 961, 'trace_an': 84}
-
id: 11188746
{'hecke_orbit_code': 824667275534, 'n': 967, 'trace_an': 128}
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id: 11188747
{'hecke_orbit_code': 824667275534, 'n': 971, 'trace_an': 0}
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id: 11188748
{'hecke_orbit_code': 824667275534, 'n': 977, 'trace_an': -120}
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id: 11188749
{'hecke_orbit_code': 824667275534, 'n': 983, 'trace_an': -48}
-
id: 11188750
{'hecke_orbit_code': 824667275534, 'n': 991, 'trace_an': -160}
-
id: 11188751
{'hecke_orbit_code': 824667275534, 'n': 997, 'trace_an': 68}