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mf_newforms • Show schema
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{'Nk2': 1900, 'analytic_conductor': 3.7928940960108184, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [19, 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': [475, 1, [77, 401], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, 3, -4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425148379, 'hecke_ring_generator_nbound': 2, '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': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [19, -1]], 5, 3], [[[5, -1], [19, 1]], 9, 2], [[[5, 1], [19, 1]], 6, 2], [[[5, 1], [19, -1]], 8, 3]], 'ALdims': [6, 8, 9, 5], 'Nk2': 1900, 'analytic_conductor': 3.7928940960108184, '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': [475, 1, [77, 401], [1, 1]], 'conrey_index': 1, 'cusp_dim': 45, 'dim': 28, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554907, 'hecke_orbit_dims': [1, 1, 1, 3, 3, 3, 3, 3, 4, 6], 'label': '475.2.a', 'level': 475, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'mf_dim': 56, 'mf_new_dim': 28, 'num_forms': 10, 'plus_dim': 11, 'prim_orbit_index': 1, 'relative_dim': 28, 'sturm_bound': 100, 'trace_bound': 2, 'trace_display': [1, -2, 0, -3], 'traces': [28, 1, -2, 29, 0, 0, -3, 9, 16, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 46038831
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197425148379, 'source_is_minimal': True, 'source_label': '475.2.a.h.1.2', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425148379, 'target_is_minimal': True, 'target_label': '475.2.a.h.1.2', 'target_level': 475, 'twist_class_label': '475.2.a.d.1.2', 'twist_class_level': 475, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46038832
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197425148379, 'source_is_minimal': True, 'source_label': '475.2.a.h.1.2', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717821107, 'target_is_minimal': False, 'target_label': '4275.2.a.z.1.2', 'target_level': 4275, 'twist_class_label': '475.2.a.d.1.2', 'twist_class_level': 475, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46038833
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197425148379, 'source_is_minimal': True, 'source_label': '475.2.a.h.1.2', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501011376, 'target_is_minimal': False, 'target_label': '7600.2.a.bn.1.1', 'target_level': 7600, 'twist_class_label': '475.2.a.d.1.2', 'twist_class_level': 475, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46038834
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197425148379, 'source_is_minimal': True, 'source_label': '475.2.a.h.1.2', 'source_level': 475, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007268007772635, 'target_is_minimal': False, 'target_label': '475.2.b.c.324.5', 'target_level': 475, 'twist_class_label': '475.2.a.d.1.2', 'twist_class_level': 475, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46038835
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197425148379, 'source_is_minimal': True, 'source_label': '475.2.a.h.1.2', 'source_level': 475, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007772635, 'target_is_minimal': False, 'target_label': '475.2.b.c.324.2', 'target_level': 475, 'twist_class_label': '475.2.a.d.1.2', 'twist_class_level': 475, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46038836
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197425148379, 'source_is_minimal': True, 'source_label': '475.2.a.h.1.2', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666395, 'target_is_minimal': True, 'target_label': '475.2.a.d.1.2', 'target_level': 475, 'twist_class_label': '475.2.a.d.1.2', 'twist_class_level': 475, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46038837
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197425148379, 'source_is_minimal': True, 'source_label': '475.2.a.h.1.2', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 175640385501008051, 'target_is_minimal': False, 'target_label': '4275.2.a.bn.1.2', 'target_level': 4275, 'twist_class_label': '475.2.a.d.1.2', 'twist_class_level': 475, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46038838
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197425148379, 'source_is_minimal': True, 'source_label': '475.2.a.h.1.2', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079191835714369, 'target_is_minimal': False, 'target_label': '9025.2.a.w.1.2', 'target_level': 9025, 'twist_class_label': '475.2.a.d.1.2', 'twist_class_level': 475, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 46038839
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197425148379, 'source_is_minimal': True, 'source_label': '475.2.a.h.1.2', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 216172782147345840, 'target_is_minimal': False, 'target_label': '7600.2.a.bw.1.3', 'target_level': 7600, 'twist_class_label': '475.2.a.d.1.2', 'twist_class_level': 475, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46038840
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 31525197425148379, 'source_is_minimal': True, 'source_label': '475.2.a.h.1.2', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854678337, 'target_is_minimal': False, 'target_label': '9025.2.a.be.1.2', 'target_level': 9025, 'twist_class_label': '475.2.a.d.1.2', 'twist_class_level': 475, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 940800
{'charpoly_factorization': [[[1, 3, -4, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 2}
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id: 940801
{'charpoly_factorization': [[[1, -1, -2, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 3}
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id: 940802
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 31525197425148379, 'p': 5}
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id: 940803
{'charpoly_factorization': [[[7, -7, 0, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 7}
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id: 940804
{'charpoly_factorization': [[[-13, -16, -1, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 11}
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id: 940805
{'charpoly_factorization': [[[-1, 6, -5, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 13}
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id: 940806
{'charpoly_factorization': [[[-13, -15, -2, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 17}
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id: 940807
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 31525197425148379, 'p': 19}
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id: 940808
{'charpoly_factorization': [[[-13, 19, -8, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 23}
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id: 940809
{'charpoly_factorization': [[[-91, -42, 7, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 29}
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id: 940810
{'charpoly_factorization': [[[43, -36, 5, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 31}
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id: 940811
{'charpoly_factorization': [[[-1, -8, -5, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 37}
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id: 940812
{'charpoly_factorization': [[[421, -114, -1, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 41}
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id: 940813
{'charpoly_factorization': [[[293, -57, -5, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 43}
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id: 940814
{'charpoly_factorization': [[[13, -4, -3, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 47}
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id: 940815
{'charpoly_factorization': [[[307, 55, -19, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 53}
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id: 940816
{'charpoly_factorization': [[[328, -32, -10, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 59}
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id: 940817
{'charpoly_factorization': [[[-41, 66, 17, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 61}
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id: 940818
{'charpoly_factorization': [[[559, -142, 1, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 67}
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id: 940819
{'charpoly_factorization': [[[-307, 55, 19, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 71}
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id: 940820
{'charpoly_factorization': [[[-463, -170, 1, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 73}
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id: 940821
{'charpoly_factorization': [[[-97, 87, -18, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 79}
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id: 940822
{'charpoly_factorization': [[[139, -2, -13, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 83}
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id: 940823
{'charpoly_factorization': [[[281, -99, -2, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 89}
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id: 940824
{'charpoly_factorization': [[[-1, 6, -5, 1], 1]], 'hecke_orbit_code': 31525197425148379, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '475.2.a.h', 'level': 475, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 185238000
{'hecke_orbit_code': 31525197425148379, 'n': 1, 'trace_an': 3}
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id: 185238001
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