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{'Nk2': 37800, 'analytic_conductor': 75.45862991010996, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [7, 1]], 'atkin_lehner_string': '---+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9450, 1, [9101, 6427, 6751], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[11, [2, 1]], [13, [5, 1]], [17, [6, 1]], [19, [-6, 1]]], 'hecke_orbit': 59, 'hecke_orbit_code': 261208778421052650, 'hecke_ring_generator_nbound': 1, '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': True, 'label': '9450.2.a.cg', 'level': 9450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '9450.2.a.s', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{11}-5q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/9450/cg'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9450.2.a', 'trace_display': [1, 0, 0, -1], 'trace_hash': 1471244843029918349, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.992', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.052', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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'char_values': [9450, 1, [9101, 6427, 6751], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2089, 'dim': 152, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19], 'hecke_orbit_code': 33563882, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '9450.2.a', 'level': 9450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 2232, 'mf_new_dim': 152, 'num_forms': 128, 'plus_dim': 66, 'prim_orbit_index': 1, 'relative_dim': 152, 'sturm_bound': 4320, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 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mf_twists_cc • Show schema
Hide schema
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id: 49092344
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 261208778421052650, 'source_is_minimal': True, 'source_label': '9450.2.a.cg.1.1', 'source_level': 9450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 261208778421052650, 'target_is_minimal': True, 'target_label': '9450.2.a.cg.1.1', 'target_level': 9450, 'twist_class_label': '9450.2.a.s.1.1', 'twist_class_level': 9450, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49092345
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 261208778421052650, 'source_is_minimal': True, 'source_label': '9450.2.a.cg.1.1', 'source_level': 9450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326232810, 'target_is_minimal': True, 'target_label': '9450.2.a.s.1.1', 'target_level': 9450, 'twist_class_label': '9450.2.a.s.1.1', 'twist_class_level': 9450, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49092346
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 261208778421052650, 'source_is_minimal': True, 'source_label': '9450.2.a.cg.1.1', 'source_level': 9450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364160746, 'target_is_minimal': True, 'target_label': '9450.2.a.bi.1.1', 'target_level': 9450, 'twist_class_label': '9450.2.a.s.1.1', 'twist_class_level': 9450, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49092347
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 261208778421052650, 'source_is_minimal': True, 'source_label': '9450.2.a.cg.1.1', 'source_level': 9450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 441352763515872490, 'target_is_minimal': True, 'target_label': '9450.2.a.du.1.1', 'target_level': 9450, 'twist_class_label': '9450.2.a.s.1.1', 'twist_class_level': 9450, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5032925
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 2}
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id: 5032926
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 3}
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id: 5032927
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 5}
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id: 5032928
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 7}
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id: 5032929
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 11}
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id: 5032930
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 13}
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id: 5032931
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 17}
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id: 5032932
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 19}
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id: 5032933
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 23}
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id: 5032934
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 29}
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id: 5032935
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 31}
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id: 5032936
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 37}
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id: 5032937
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 41}
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id: 5032938
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 43}
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id: 5032939
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 47}
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id: 5032940
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 53}
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id: 5032941
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 59}
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id: 5032942
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 61}
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id: 5032943
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 67}
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id: 5032944
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 71}
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id: 5032945
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 73}
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id: 5032946
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 79}
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id: 5032947
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 83}
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id: 5032948
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 89}
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id: 5032949
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 261208778421052650, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 59, 'label': '9450.2.a.cg', 'level': 9450, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 279247000
{'hecke_orbit_code': 261208778421052650, 'n': 1, 'trace_an': 1}
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id: 279247001
{'hecke_orbit_code': 261208778421052650, 'n': 2, 'trace_an': 1}
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id: 279247002
{'hecke_orbit_code': 261208778421052650, 'n': 3, 'trace_an': 0}
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id: 279247003
{'hecke_orbit_code': 261208778421052650, 'n': 4, 'trace_an': 1}
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id: 279247004
{'hecke_orbit_code': 261208778421052650, 'n': 5, 'trace_an': 0}
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id: 279247005
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{'hecke_orbit_code': 261208778421052650, 'n': 975, 'trace_an': 0}
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id: 279247975
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id: 279247976
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id: 279247977
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id: 279247978
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id: 279247979
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id: 279247980
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id: 279247981
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id: 279247982
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id: 279247983
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id: 279247984
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id: 279247985
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id: 279247986
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id: 279247987
{'hecke_orbit_code': 261208778421052650, 'n': 988, 'trace_an': -30}
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id: 279247988
{'hecke_orbit_code': 261208778421052650, 'n': 989, 'trace_an': -32}
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id: 279247989
{'hecke_orbit_code': 261208778421052650, 'n': 990, 'trace_an': 0}
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id: 279247990
{'hecke_orbit_code': 261208778421052650, 'n': 991, 'trace_an': 22}
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id: 279247991
{'hecke_orbit_code': 261208778421052650, 'n': 992, 'trace_an': 7}
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id: 279247992
{'hecke_orbit_code': 261208778421052650, 'n': 993, 'trace_an': 0}
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id: 279247993
{'hecke_orbit_code': 261208778421052650, 'n': 994, 'trace_an': -15}
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id: 279247994
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id: 279247995
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id: 279247996
{'hecke_orbit_code': 261208778421052650, 'n': 997, 'trace_an': 59}
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id: 279247997
{'hecke_orbit_code': 261208778421052650, 'n': 998, 'trace_an': 25}
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id: 279247998
{'hecke_orbit_code': 261208778421052650, 'n': 999, 'trace_an': 0}
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id: 279247999
{'hecke_orbit_code': 261208778421052650, 'n': 1000, 'trace_an': 0}