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mf_newforms • Show schema
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{'Nk2': 7560, 'analytic_conductor': 15.091725982021993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [1890, 2, [1541, 757, 1081], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 379, 'conrey_indexes': [379], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [-4, 1]], [13, [36, 0, 1]], [29, [-3, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036408624121698, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1890.2.g.k', 'level': 1890, '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': '1890.2.g.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}-q^{4}+(2+i)q^{5}+iq^{7}-iq^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1890.2.g', 'trace_display': [0, 0, 4, 0], 'trace_hash': 900273623080803301, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.472', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.259', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.802', 'prec': 17}, {'__RealLiteral__': 0, 'data': '163.465', 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mf_hecke_cc • Show schema
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0.2066866362798157, 0.11713705553967237, -0.19931158821031986], 'char_orbit_index': 7, 'conrey_index': 379, 'dual_conrey_index': 379, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 1.0, 'embedding_root_real': 0.0, 'hecke_orbit': 11, 'hecke_orbit_code': 45036408624121698, 'label': '1890.2.g.k.379.2', 'level': 1890, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7560, 'analytic_conductor': 15.091725982021993, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [1890, 2, [1541, 757, 1081], [2, 1, 2]], 'conrey_index': 379, 'cusp_dim': 408, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 29], 'hecke_orbit_code': 412350416738, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], 'label': '1890.2.g', 'level': 1890, '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': 456, 'mf_new_dim': 48, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 864, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -48, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 48, 0, 0, -16, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -8, 0, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 47203456
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036408624121698, 'source_is_minimal': True, 'source_label': '1890.2.g.k.379.2', 'source_level': 1890, 'target_conrey_index': 379, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036408624121698, 'target_is_minimal': True, 'target_label': '1890.2.g.k.379.2', 'target_level': 1890, 'twist_class_label': '1890.2.g.a.379.1', 'twist_class_level': 1890, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47203457
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036408624121698, 'source_is_minimal': True, 'source_label': '1890.2.g.k.379.2', 'source_level': 1890, 'target_conrey_index': 379, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350416738, 'target_is_minimal': True, 'target_label': '1890.2.g.a.379.1', 'target_level': 1890, 'twist_class_label': '1890.2.g.a.379.1', 'twist_class_level': 1890, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47203458
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036408624121698, 'source_is_minimal': True, 'source_label': '1890.2.g.k.379.2', 'source_level': 1890, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835714794, 'target_is_minimal': False, 'target_label': '9450.2.a.w.1.1', 'target_level': 9450, 'twist_class_label': '1890.2.g.a.379.1', 'twist_class_level': 1890, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47203459
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036408624121698, 'source_is_minimal': True, 'source_label': '1890.2.g.k.379.2', 'source_level': 1890, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 454863562397983978, 'target_is_minimal': False, 'target_label': '9450.2.a.dx.1.1', 'target_level': 9450, 'twist_class_label': '1890.2.g.a.379.1', 'twist_class_level': 1890, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47203460
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036408624121698, 'source_is_minimal': True, 'source_label': '1890.2.g.k.379.2', 'source_level': 1890, 'target_conrey_index': 379, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036408624121698, 'target_is_minimal': True, 'target_label': '1890.2.g.k.379.1', 'target_level': 1890, 'twist_class_label': '1890.2.g.a.379.1', 'twist_class_level': 1890, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47203461
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036408624121698, 'source_is_minimal': True, 'source_label': '1890.2.g.k.379.2', 'source_level': 1890, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 243194379911570666, 'target_is_minimal': False, 'target_label': '9450.2.a.cc.1.1', 'target_level': 9450, 'twist_class_label': '1890.2.g.a.379.1', 'twist_class_level': 1890, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47203462
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 379, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036408624121698, 'source_is_minimal': True, 'source_label': '1890.2.g.k.379.2', 'source_level': 1890, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854678762, 'target_is_minimal': False, 'target_label': '9450.2.a.be.1.1', 'target_level': 9450, 'twist_class_label': '1890.2.g.a.379.1', 'twist_class_level': 1890, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47203463
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 379, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45036408624121698, 'source_is_minimal': True, 'source_label': '1890.2.g.k.379.2', 'source_level': 1890, 'target_conrey_index': 379, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 412350416738, 'target_is_minimal': True, 'target_label': '1890.2.g.a.379.2', 'target_level': 1890, 'twist_class_label': '1890.2.g.a.379.1', 'twist_class_level': 1890, '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: 2280000
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 2}
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id: 2280001
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 3}
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id: 2280002
{'charpoly_factorization': [[[5, -4, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 5}
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id: 2280003
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 7}
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id: 2280004
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 11}
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id: 2280005
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 13}
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id: 2280006
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 17}
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id: 2280007
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 19}
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id: 2280008
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 23}
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id: 2280009
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 29}
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id: 2280010
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 31}
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id: 2280011
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 37}
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id: 2280012
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 41}
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id: 2280013
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 43}
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id: 2280014
{'charpoly_factorization': [[[169, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 47}
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id: 2280015
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 53}
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id: 2280016
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 59}
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id: 2280017
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 61}
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id: 2280018
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 67}
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id: 2280019
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 71}
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id: 2280020
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 73}
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id: 2280021
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 79}
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id: 2280022
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 83}
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id: 2280023
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 45036408624121698, 'p': 89}
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id: 2280024
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 45036408624121698, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 11, 'label': '1890.2.g.k', 'level': 1890, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 215156000
{'hecke_orbit_code': 45036408624121698, 'n': 1, 'trace_an': 2}
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id: 215156001
{'hecke_orbit_code': 45036408624121698, 'n': 2, 'trace_an': 0}
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id: 215156002
{'hecke_orbit_code': 45036408624121698, 'n': 3, 'trace_an': 0}
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id: 215156003
{'hecke_orbit_code': 45036408624121698, 'n': 4, 'trace_an': -2}
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id: 215156004
{'hecke_orbit_code': 45036408624121698, 'n': 5, 'trace_an': 4}
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id: 215156005
{'hecke_orbit_code': 45036408624121698, 'n': 6, 'trace_an': 0}
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id: 215156006
{'hecke_orbit_code': 45036408624121698, 'n': 7, 'trace_an': 0}
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id: 215156007
{'hecke_orbit_code': 45036408624121698, 'n': 8, 'trace_an': 0}
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id: 215156008
{'hecke_orbit_code': 45036408624121698, 'n': 9, 'trace_an': 0}
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id: 215156009
{'hecke_orbit_code': 45036408624121698, 'n': 10, 'trace_an': -2}
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id: 215156990
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id: 215156992
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id: 215156993
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id: 215156996
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id: 215156998
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id: 215156999
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