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mf_newforms • Show schema
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{'Nk2': 40000, 'analytic_conductor': 79.85040202128039, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [10000, 1, [8751, 2501, 9377], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-5, 0, 1]], [7, [1, 3, 1]], [11, [-4, -2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797787408, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '10000.2.a.g', 'level': 10000, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '200.2.m.a', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-2\\beta )q^{3}+(-2+\\beta )q^{7}+2q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10000.2.a', 'trace_display': [0, 0, 0, -3], 'trace_hash': 160387308207622542, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.939', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.600', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1]], 58, 11], [[[2, -1], [5, -1]], 54, 11], [[[2, 1], [5, -1]], 62, 7], [[[2, -1], [5, 1]], 58, 15]], 'ALdims': [58, 62, 58, 54], 'Nk2': 40000, 'analytic_conductor': 79.85040202128039, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [10000, 1, [8751, 2501, 9377], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1411, 'dim': 232, 'eis_dim': 179, 'eis_new_dim': 16, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33564432, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 12, 12, 16, 16], 'label': '10000.2.a', 'level': 10000, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 1590, 'mf_new_dim': 248, 'num_forms': 44, 'plus_dim': 112, 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mf_twists_nf • Show schema
Hide schema
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id: 1456008
{'conductor': 100, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '10000.2.a.g', 'source_level': 10000, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '200.2.m.a', 'target_level': 200, 'twist_class_label': '200.2.m.a', 'twist_class_level': 200, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1456009
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '10000.2.a.g', 'source_level': 10000, 'target_char_orbit': 21, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.2.u.a', 'target_level': 400, 'twist_class_label': '200.2.m.a', 'twist_class_level': 200, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1456010
{'conductor': 100, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '10000.2.a.g', 'source_level': 10000, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1000.2.m.a', 'target_level': 1000, 'twist_class_label': '200.2.m.a', 'twist_class_level': 200, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1456011
{'conductor': 100, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '10000.2.a.g', 'source_level': 10000, 'target_char_orbit': 17, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1000.2.q.a', 'target_level': 1000, 'twist_class_label': '200.2.m.a', 'twist_class_level': 200, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1456012
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '10000.2.a.g', 'source_level': 10000, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '5000.2.a.a', 'target_level': 5000, 'twist_class_label': '200.2.m.a', 'twist_class_level': 200, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1456013
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '10000.2.a.g', 'source_level': 10000, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '5000.2.a.c', 'target_level': 5000, 'twist_class_label': '200.2.m.a', 'twist_class_level': 200, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1456014
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '10000.2.a.g', 'source_level': 10000, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '10000.2.a.g', 'target_level': 10000, 'twist_class_label': '200.2.m.a', 'twist_class_level': 200, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1456015
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '10000.2.a.g', 'source_level': 10000, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '10000.2.a.i', 'target_level': 10000, 'twist_class_label': '200.2.m.a', 'twist_class_level': 200, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5181525
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797787408, 'p': 2}
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id: 5181526
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 3}
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id: 5181527
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797787408, 'p': 5}
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id: 5181528
{'charpoly_factorization': [[[1, 3, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 7}
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id: 5181529
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 11}
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id: 5181530
{'charpoly_factorization': [[[19, -9, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 13}
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id: 5181531
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 17}
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id: 5181532
{'charpoly_factorization': [[[41, 13, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 19}
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id: 5181533
{'charpoly_factorization': [[[-19, 2, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 23}
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id: 5181534
{'charpoly_factorization': [[[29, -11, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 29}
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id: 5181535
{'charpoly_factorization': [[[-41, 4, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 31}
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id: 5181536
{'charpoly_factorization': [[[31, 12, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 37}
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id: 5181537
{'charpoly_factorization': [[[-44, 2, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 41}
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id: 5181538
{'charpoly_factorization': [[[29, 11, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 43}
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id: 5181539
{'charpoly_factorization': [[[1, 7, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 47}
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id: 5181540
{'charpoly_factorization': [[[-79, 2, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 53}
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id: 5181541
{'charpoly_factorization': [[[11, 7, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 59}
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id: 5181542
{'charpoly_factorization': [[[-121, 4, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 61}
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id: 5181543
{'charpoly_factorization': [[[4, 14, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 67}
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id: 5181544
{'charpoly_factorization': [[[55, -15, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 71}
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id: 5181545
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 27021597797787408, 'p': 73}
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id: 5181546
{'charpoly_factorization': [[[-55, 5, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 79}
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id: 5181547
{'charpoly_factorization': [[[61, -18, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 83}
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id: 5181548
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 27021597797787408, 'p': 89}
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id: 5181549
{'charpoly_factorization': [[[-279, -3, 1], 1]], 'hecke_orbit_code': 27021597797787408, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '10000.2.a.g', 'level': 10000, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 180197000
{'hecke_orbit_code': 27021597797787408, 'n': 1, 'trace_an': 2}
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id: 180197001
{'hecke_orbit_code': 27021597797787408, 'n': 2, 'trace_an': 0}
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id: 180197002
{'hecke_orbit_code': 27021597797787408, 'n': 3, 'trace_an': 0}
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id: 180197003
{'hecke_orbit_code': 27021597797787408, 'n': 4, 'trace_an': 0}
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id: 180197004
{'hecke_orbit_code': 27021597797787408, 'n': 5, 'trace_an': 0}
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id: 180197005
{'hecke_orbit_code': 27021597797787408, 'n': 6, 'trace_an': 0}
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id: 180197006
{'hecke_orbit_code': 27021597797787408, 'n': 7, 'trace_an': -3}
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id: 180197007
{'hecke_orbit_code': 27021597797787408, 'n': 8, 'trace_an': 0}
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id: 180197008
{'hecke_orbit_code': 27021597797787408, 'n': 9, 'trace_an': 4}
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id: 180197009
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{'hecke_orbit_code': 27021597797787408, 'n': 992, 'trace_an': 0}
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id: 180197992
{'hecke_orbit_code': 27021597797787408, 'n': 993, 'trace_an': -130}
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id: 180197993
{'hecke_orbit_code': 27021597797787408, 'n': 994, 'trace_an': 0}
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id: 180197994
{'hecke_orbit_code': 27021597797787408, 'n': 995, 'trace_an': 0}
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id: 180197995
{'hecke_orbit_code': 27021597797787408, 'n': 996, 'trace_an': 0}
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id: 180197996
{'hecke_orbit_code': 27021597797787408, 'n': 997, 'trace_an': -86}
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id: 180197997
{'hecke_orbit_code': 27021597797787408, 'n': 998, 'trace_an': 0}
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id: 180197998
{'hecke_orbit_code': 27021597797787408, 'n': 999, 'trace_an': 10}
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id: 180197999
{'hecke_orbit_code': 27021597797787408, 'n': 1000, 'trace_an': 0}