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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': 16, 'field_disc': 9349208943630483456, 'field_disc_factorization': [[2, 44], [3, 12]], 'field_poly': [25, -220, 972, -2780, 5736, -9024, 11224, -11276, 9297, -6328, 3580, -1668, 642, -196, 48, -8, 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': [[7, [6250000, -7000000, 3920000, -2390400, 1088624, -207200, 6400, 26016, -20276, 4656, -128, -592, 476, -144, 32, -8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504424294646030, 'hecke_ring_generator_nbound': 7, '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, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '270.2.m.b', '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, 'minimal_twist': '90.2.l.b', 'nf_label': '16.0.9349208943630483456.9', 'prim_orbit_index': 12, 'qexp_display': 'q+\\beta _{5}q^{2}-\\beta _{6}q^{4}+(-\\beta _{2}+\\beta _{4}+\\beta _{5}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '270.2.m', 'trace_display': [0, 0, 12, 8], 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mf_hecke_cc • Show schema
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'270.2.m.b.233.3', '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: 36444784
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 233, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504424294646030, 'target_is_minimal': False, 'target_label': '270.2.m.b.233.3', 'target_level': 270, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 36444785
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 23, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169114, 'target_is_minimal': True, 'target_label': '90.2.l.b.23.1', 'target_level': 90, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36444786
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504424294646030, 'target_is_minimal': False, 'target_label': '270.2.m.b.17.4', 'target_level': 270, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36444787
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 557, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526296936777030, 'target_is_minimal': False, 'target_label': '1350.2.q.h.557.2', 'target_level': 1350, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 36444788
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 1043, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526296936777030, 'target_is_minimal': False, 'target_label': '1350.2.q.h.1043.1', 'target_level': 1350, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36444789
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 143, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504424294646030, 'target_is_minimal': False, 'target_label': '270.2.m.b.143.4', 'target_level': 270, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36444790
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 323, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007542885679914, 'target_is_minimal': False, 'target_label': '810.2.f.c.323.8', 'target_level': 810, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 36444791
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 323, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679914, 'target_is_minimal': False, 'target_label': '810.2.f.c.323.1', 'target_level': 810, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 36444792
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 83, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169114, 'target_is_minimal': True, 'target_label': '90.2.l.b.83.1', 'target_level': 90, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 36444793
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 113, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4508547463250640, 'target_is_minimal': False, 'target_label': '720.2.cu.b.113.3', 'target_level': 720, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 36444794
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 77, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169114, 'target_is_minimal': True, 'target_label': '90.2.l.b.77.1', 'target_level': 90, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36444795
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 257, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526228217299394, 'target_is_minimal': False, 'target_label': '450.2.p.h.257.4', 'target_level': 450, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 36444796
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 293, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526228217299394, 'target_is_minimal': False, 'target_label': '450.2.p.h.293.4', 'target_level': 450, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 36444797
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 353, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4508547463250640, 'target_is_minimal': False, 'target_label': '720.2.cu.b.353.4', 'target_level': 720, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 36444798
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 197, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504424294646030, 'target_is_minimal': False, 'target_label': '270.2.m.b.197.3', 'target_level': 270, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 36444799
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 47, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504355575169114, 'target_is_minimal': True, 'target_label': '90.2.l.b.47.1', 'target_level': 90, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 36444800
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 647, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679914, 'target_is_minimal': False, 'target_label': '810.2.f.c.647.1', 'target_level': 810, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 36444801
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 143, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526296936777030, 'target_is_minimal': False, 'target_label': '1350.2.q.h.143.2', 'target_level': 1350, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 36444802
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 647, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007542885679914, 'target_is_minimal': False, 'target_label': '810.2.f.c.647.8', 'target_level': 810, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 36444803
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 443, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526228217299394, 'target_is_minimal': False, 'target_label': '450.2.p.h.443.4', 'target_level': 450, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 36444804
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 1007, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526296936777030, 'target_is_minimal': False, 'target_label': '1350.2.q.h.1007.1', 'target_level': 1350, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 36444805
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 407, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31526228217299394, 'target_is_minimal': False, 'target_label': '450.2.p.h.407.4', 'target_level': 450, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 36444806
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 257, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4508547463250640, 'target_is_minimal': False, 'target_label': '720.2.cu.b.257.4', 'target_level': 720, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 36444807
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 233, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504424294646030, 'source_is_minimal': False, 'source_label': '270.2.m.b.233.3', 'source_level': 270, 'target_conrey_index': 497, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4508547463250640, 'target_is_minimal': False, 'target_label': '720.2.cu.b.497.3', 'target_level': 720, 'twist_class_label': '90.2.l.b.23.1', 'twist_class_level': 90, 'twisting_char_label': '180.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 614900
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4504424294646030, 'p': 2}
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id: 614901
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4504424294646030, 'p': 3}
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id: 614902
{'charpoly_factorization': [[[390625, -937500, 1250000, -1200000, 925000, -607500, 351200, -182100, 85471, -36420, 14048, -4860, 1480, -384, 80, -12, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 5}
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id: 614903
{'charpoly_factorization': [[[6250000, -7000000, 3920000, -2390400, 1088624, -207200, 6400, 26016, -20276, 4656, -128, -592, 476, -144, 32, -8, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 7}
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id: 614904
{'charpoly_factorization': [[[1849, 1032, -754, -528, 441, 0, -22, 0, 1], 2]], 'hecke_orbit_code': 4504424294646030, 'p': 11}
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id: 614905
{'charpoly_factorization': [[[1296, -5184, 10368, -20736, 35856, -38880, 34560, -31104, 17388, -3888, 1152, -288, -156, 48, 0, 0, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 13}
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id: 614906
{'charpoly_factorization': [[[390625, 0, 0, 0, 467222500, 0, 0, 0, 4269606, 0, 0, 0, 4132, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 17}
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id: 614907
{'charpoly_factorization': [[[10201, 0, 5308, 0, 858, 0, 52, 0, 1], 2]], 'hecke_orbit_code': 4504424294646030, 'p': 19}
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id: 614908
{'charpoly_factorization': [[[82538991616, -103481720832, 64869138432, -27109490688, 7528268800, -1234913280, 83607552, 20752896, -9066816, 1621248, -110592, -27840, 11920, -2304, 288, -24, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 23}
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id: 614909
{'charpoly_factorization': [[[40960000, 0, 37683200, 0, 25452544, 0, 7454720, 0, 1596160, 0, 103424, 0, 4960, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 29}
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id: 614910
{'charpoly_factorization': [[[448900, -85760, 64624, 3856, 5026, -32, 88, 4, 1], 2]], 'hecke_orbit_code': 4504424294646030, 'p': 31}
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id: 614911
{'charpoly_factorization': [[[82944, -165888, 165888, -55296, 9792, -576, 0, 0, 1], 2]], 'hecke_orbit_code': 4504424294646030, 'p': 37}
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id: 614912
{'charpoly_factorization': [[[555025, -384420, 45542, 29928, 555, -696, -10, 12, 1], 2]], 'hecke_orbit_code': 4504424294646030, 'p': 41}
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id: 614913
{'charpoly_factorization': [[[35806100625, 3951018000, 217987200, 1658957760, -1276568046, -315984240, 11335680, -31123008, 51876315, -326160, 4608, -4320, -7230, 96, 0, 0, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 43}
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id: 614914
{'charpoly_factorization': [[[2981133747216, 1796847738048, 541515756672, 108797686272, -460693008, -6702297696, -1970749440, -435253824, -5582196, 27126576, 8709120, 1625184, 207612, 18432, 1152, 48, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 47}
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id: 614915
{'charpoly_factorization': [[[3906250000, 0, 0, 0, 418925536, 0, 0, 0, 7672152, 0, 0, 0, 10552, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 53}
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id: 614916
{'charpoly_factorization': [[[625, 0, 37700, 0, 2262214, 0, 712592, 0, 158299, 0, 17840, 0, 1462, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 59}
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id: 614917
{'charpoly_factorization': [[[45887076, 13331232, 3141432, 375120, 42054, 2640, 252, 12, 1], 2]], 'hecke_orbit_code': 4504424294646030, 'p': 61}
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id: 614918
{'charpoly_factorization': [[[3418801, -85231504, 1062420608, -26745489504, 333377741378, 40651903312, 2456667136, 274915632, -57912821, -8720688, -518144, -64528, 11858, 2016, 128, 16, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 67}
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id: 614919
{'charpoly_factorization': [[[14032516, 0, 1023488, 0, 25980, 0, 272, 0, 1], 2]], 'hecke_orbit_code': 4504424294646030, 'p': 71}
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id: 614920
{'charpoly_factorization': [[[966289, -1140280, 672800, -154024, 17842, -152, 32, -8, 1], 2]], 'hecke_orbit_code': 4504424294646030, 'p': 73}
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id: 614921
{'charpoly_factorization': [[[1730768006250000, 0, -138985632000000, 0, 8558458650000, 0, -173042524800, 0, 2428425036, 0, -20342592, 0, 124068, 0, -432, 0, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 79}
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id: 614922
{'charpoly_factorization': [[[21743271936, 0, 0, 0, -1472200704, -679477248, 0, 176947200, 127844352, 46006272, 10616832, 1751040, 211200, 18432, 1152, 48, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 83}
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id: 614923
{'charpoly_factorization': [[[100, 0, -28, 0, 1], 4]], 'hecke_orbit_code': 4504424294646030, 'p': 89}
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id: 614924
{'charpoly_factorization': [[[19559470366881, -10714460229504, 2934631047168, -5985304288416, 1103454012942, 983023623072, 211720241664, 37134895824, 6126178419, 738652608, 70972416, 6446736, 473262, 24768, 1152, 48, 1], 1]], 'hecke_orbit_code': 4504424294646030, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 2, 'label': '270.2.m.b', 'level': 270, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 23967919
{'hecke_orbit_code': 4504424294646030, 'n': 1, 'trace_an': 16}
-
id: 23967920
{'hecke_orbit_code': 4504424294646030, 'n': 2, 'trace_an': 0}
-
id: 23967921
{'hecke_orbit_code': 4504424294646030, 'n': 3, 'trace_an': 0}
-
id: 23967922
{'hecke_orbit_code': 4504424294646030, 'n': 4, 'trace_an': 0}
-
id: 23967923
{'hecke_orbit_code': 4504424294646030, 'n': 5, 'trace_an': 12}
-
id: 23967924
{'hecke_orbit_code': 4504424294646030, 'n': 6, 'trace_an': 0}
-
id: 23967925
{'hecke_orbit_code': 4504424294646030, 'n': 7, 'trace_an': 8}
-
id: 23967926
{'hecke_orbit_code': 4504424294646030, 'n': 8, 'trace_an': 0}
-
id: 23967927
{'hecke_orbit_code': 4504424294646030, 'n': 9, 'trace_an': 0}
-
id: 23967928
{'hecke_orbit_code': 4504424294646030, 'n': 10, 'trace_an': -8}
-
id: 23967929
{'hecke_orbit_code': 4504424294646030, 'n': 11, 'trace_an': 0}
-
id: 23967930
{'hecke_orbit_code': 4504424294646030, 'n': 12, 'trace_an': 0}
-
id: 23967931
{'hecke_orbit_code': 4504424294646030, 'n': 13, 'trace_an': 0}
-
id: 23967932
{'hecke_orbit_code': 4504424294646030, 'n': 14, 'trace_an': 0}
-
id: 23967933
{'hecke_orbit_code': 4504424294646030, 'n': 15, 'trace_an': 0}
-
id: 23967934
{'hecke_orbit_code': 4504424294646030, 'n': 16, 'trace_an': 8}
-
id: 23967935
{'hecke_orbit_code': 4504424294646030, 'n': 17, 'trace_an': 0}
-
id: 23967936
{'hecke_orbit_code': 4504424294646030, 'n': 18, 'trace_an': 0}
-
id: 23967937
{'hecke_orbit_code': 4504424294646030, 'n': 19, 'trace_an': 0}
-
id: 23967938
{'hecke_orbit_code': 4504424294646030, 'n': 20, 'trace_an': 12}
-
id: 23967939
{'hecke_orbit_code': 4504424294646030, 'n': 21, 'trace_an': 0}
-
id: 23967940
{'hecke_orbit_code': 4504424294646030, 'n': 22, 'trace_an': 8}
-
id: 23967941
{'hecke_orbit_code': 4504424294646030, 'n': 23, 'trace_an': 24}
-
id: 23967942
{'hecke_orbit_code': 4504424294646030, 'n': 24, 'trace_an': 0}
-
id: 23967943
{'hecke_orbit_code': 4504424294646030, 'n': 25, 'trace_an': -16}
-
id: 23967944
{'hecke_orbit_code': 4504424294646030, 'n': 26, 'trace_an': 0}
-
id: 23967945
{'hecke_orbit_code': 4504424294646030, 'n': 27, 'trace_an': 0}
-
id: 23967946
{'hecke_orbit_code': 4504424294646030, 'n': 28, 'trace_an': -16}
-
id: 23967947
{'hecke_orbit_code': 4504424294646030, 'n': 29, 'trace_an': 0}
-
id: 23967948
{'hecke_orbit_code': 4504424294646030, 'n': 30, 'trace_an': 0}
-
id: 23967949
{'hecke_orbit_code': 4504424294646030, 'n': 31, 'trace_an': -8}
-
id: 23967950
{'hecke_orbit_code': 4504424294646030, 'n': 32, 'trace_an': 0}
-
id: 23967951
{'hecke_orbit_code': 4504424294646030, 'n': 33, 'trace_an': 0}
-
id: 23967952
{'hecke_orbit_code': 4504424294646030, 'n': 34, 'trace_an': 0}
-
id: 23967953
{'hecke_orbit_code': 4504424294646030, 'n': 35, 'trace_an': 0}
-
id: 23967954
{'hecke_orbit_code': 4504424294646030, 'n': 36, 'trace_an': 0}
-
id: 23967955
{'hecke_orbit_code': 4504424294646030, 'n': 37, 'trace_an': 0}
-
id: 23967956
{'hecke_orbit_code': 4504424294646030, 'n': 38, 'trace_an': -24}
-
id: 23967957
{'hecke_orbit_code': 4504424294646030, 'n': 39, 'trace_an': 0}
-
id: 23967958
{'hecke_orbit_code': 4504424294646030, 'n': 40, 'trace_an': -4}
-
id: 23967959
{'hecke_orbit_code': 4504424294646030, 'n': 41, 'trace_an': -24}
-
id: 23967960
{'hecke_orbit_code': 4504424294646030, 'n': 42, 'trace_an': 0}
-
id: 23967961
{'hecke_orbit_code': 4504424294646030, 'n': 43, 'trace_an': 0}
-
id: 23967962
{'hecke_orbit_code': 4504424294646030, 'n': 44, 'trace_an': 0}
-
id: 23967963
{'hecke_orbit_code': 4504424294646030, 'n': 45, 'trace_an': 0}
-
id: 23967964
{'hecke_orbit_code': 4504424294646030, 'n': 46, 'trace_an': -32}
-
id: 23967965
{'hecke_orbit_code': 4504424294646030, 'n': 47, 'trace_an': -48}
-
id: 23967966
{'hecke_orbit_code': 4504424294646030, 'n': 48, 'trace_an': 0}
-
id: 23967967
{'hecke_orbit_code': 4504424294646030, 'n': 49, 'trace_an': 0}
-
id: 23967968
{'hecke_orbit_code': 4504424294646030, 'n': 50, 'trace_an': -24}
-
id: 23967969
{'hecke_orbit_code': 4504424294646030, 'n': 51, 'trace_an': 0}
-
id: 23967970
{'hecke_orbit_code': 4504424294646030, 'n': 52, 'trace_an': 0}
-
id: 23967971
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id: 23968171
{'hecke_orbit_code': 4504424294646030, 'n': 967, 'trace_an': 16}
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id: 23968172
{'hecke_orbit_code': 4504424294646030, 'n': 971, 'trace_an': 0}
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id: 23968173
{'hecke_orbit_code': 4504424294646030, 'n': 977, 'trace_an': -48}
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id: 23968174
{'hecke_orbit_code': 4504424294646030, 'n': 983, 'trace_an': -312}
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id: 23968175
{'hecke_orbit_code': 4504424294646030, 'n': 991, 'trace_an': 64}
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id: 23968176
{'hecke_orbit_code': 4504424294646030, 'n': 997, 'trace_an': -56}