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mf_newforms • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [546, 3, [365, 157, 379], [3, 1, 3]], 'cm_discs': [], 'conrey_index': 79, 'conrey_indexes': [79, 235], 'dim': 4, 'field_disc': 7056, 'field_disc_factorization': [[2, 4], [3, 2], [7, 2]], 'field_poly': [49, 0, 7, 0, 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': [[5, [36, 12, 10, -2, 1]], [17, [81, -72, 55, -8, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532946435703330, 'hecke_ring_generator_nbound': 5, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '546.2.i.j', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.i.j', 'nf_label': '4.0.7056.3', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{2})q^{2}+\\beta _{2}q^{3}+\\beta _{2}q^{4}+(1+\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '546.2.i', 'trace_display': [2, -2, 2, 0], 'trace_hash': 329745628481511115, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.837', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.843', 'prec': 17}, {'__RealLiteral__': 0, 'data': '53.124', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'dual_conrey_index': 79, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 4, 'embedding_root_imag': 2.29128784747792, 'embedding_root_real': 1.3228756555322954, 'hecke_orbit': 10, 'hecke_orbit_code': 40532946435703330, 'label': '546.2.i.j.235.2', 'level': 546, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [546, 3, [365, 157, 379], [3, 1, 3]], 'conrey_index': 79, 'cusp_dim': 208, 'dim': 32, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 17], 'hecke_orbit_code': 549789368866, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6], 'label': '546.2.i', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 240, 'mf_new_dim': 32, 'num_forms': 11, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [0, 0, 8, -12], 'traces': [32, 0, 0, -16, 8, 8, -12, 0, -16, 4, 8, 0, 8, -4, -8, -16, -12, 0, -8, -16, 0, 0, 0, -4, -20, 0, 0, 12, -24, -8, 20, 0, -4, 16, -24, 32, 0, 20, 0, 4, 64, 12, -32, 8, 8, -8, 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32, -4, -304, 48, 128, -16, -32, 68, 64, -24, 120, -176, 128, 16, -96, 0, 156, -8, 208, -184, 336, 52, -4, 16, 0, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46972586
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532946435703330, 'source_is_minimal': True, 'source_label': '546.2.i.j.235.2', 'source_level': 546, 'target_conrey_index': 235, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532946435703330, 'target_is_minimal': True, 'target_label': '546.2.i.j.235.2', 'target_level': 546, 'twist_class_label': '546.2.i.j.79.2', 'twist_class_level': 546, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46972587
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532946435703330, 'source_is_minimal': True, 'source_label': '546.2.i.j.235.2', 'source_level': 546, 'target_conrey_index': 235, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036614782551654, 'target_is_minimal': False, 'target_label': '1638.2.j.k.235.1', 'target_level': 1638, 'twist_class_label': '546.2.i.j.79.2', 'twist_class_level': 546, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46972588
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532946435703330, 'source_is_minimal': True, 'source_label': '546.2.i.j.235.2', 'source_level': 546, 'target_conrey_index': 79, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532946435703330, 'target_is_minimal': True, 'target_label': '546.2.i.j.79.2', 'target_level': 546, 'twist_class_label': '546.2.i.j.79.2', 'twist_class_level': 546, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46972589
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532946435703330, 'source_is_minimal': True, 'source_label': '546.2.i.j.235.2', 'source_level': 546, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 153122387364155118, 'target_is_minimal': False, 'target_label': '3822.2.a.bi.1.2', 'target_level': 3822, 'twist_class_label': '546.2.i.j.79.2', 'twist_class_level': 546, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46972590
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 235, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532946435703330, 'source_is_minimal': True, 'source_label': '546.2.i.j.235.2', 'source_level': 546, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618896110, 'target_is_minimal': False, 'target_label': '3822.2.a.bk.1.1', 'target_level': 3822, 'twist_class_label': '546.2.i.j.79.2', 'twist_class_level': 546, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46972591
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 235, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532946435703330, 'source_is_minimal': True, 'source_label': '546.2.i.j.235.2', 'source_level': 546, 'target_conrey_index': 1171, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036614782551654, 'target_is_minimal': False, 'target_label': '1638.2.j.k.1171.1', 'target_level': 1638, 'twist_class_label': '546.2.i.j.79.2', 'twist_class_level': 546, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1027550
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 2}
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id: 1027551
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 3}
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id: 1027552
{'charpoly_factorization': [[[36, 12, 10, -2, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 5}
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id: 1027553
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 7}
-
id: 1027554
{'charpoly_factorization': [[[9, 12, 19, -4, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 11}
-
id: 1027555
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 40532946435703330, 'p': 13}
-
id: 1027556
{'charpoly_factorization': [[[81, -72, 55, -8, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 17}
-
id: 1027557
{'charpoly_factorization': [[[25, 5, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 19}
-
id: 1027558
{'charpoly_factorization': [[[324, -180, 82, -10, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 23}
-
id: 1027559
{'charpoly_factorization': [[[-27, 2, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 29}
-
id: 1027560
{'charpoly_factorization': [[[576, 96, 40, -4, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 31}
-
id: 1027561
{'charpoly_factorization': [[[4, 12, 34, 6, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 37}
-
id: 1027562
{'charpoly_factorization': [[[18, 10, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 41}
-
id: 1027563
{'charpoly_factorization': [[[-28, 0, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 43}
-
id: 1027564
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 47}
-
id: 1027565
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 53}
-
id: 1027566
{'charpoly_factorization': [[[3969, 0, 63, 0, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 59}
-
id: 1027567
{'charpoly_factorization': [[[2209, 376, 111, -8, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 61}
-
id: 1027568
{'charpoly_factorization': [[[10609, 618, 139, -6, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 67}
-
id: 1027569
{'charpoly_factorization': [[[93, -22, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 71}
-
id: 1027570
{'charpoly_factorization': [[[12996, -2508, 370, -22, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 73}
-
id: 1027571
{'charpoly_factorization': [[[100, -10, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 79}
-
id: 1027572
{'charpoly_factorization': [[[36, 16, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 83}
-
id: 1027573
{'charpoly_factorization': [[[324, 324, 306, 18, 1], 1]], 'hecke_orbit_code': 40532946435703330, 'p': 89}
-
id: 1027574
{'charpoly_factorization': [[[-14, 14, 1], 2]], 'hecke_orbit_code': 40532946435703330, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 10, 'label': '546.2.i.j', 'level': 546, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 209144000
{'hecke_orbit_code': 40532946435703330, 'n': 1, 'trace_an': 4}
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id: 209144001
{'hecke_orbit_code': 40532946435703330, 'n': 2, 'trace_an': 2}
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id: 209144002
{'hecke_orbit_code': 40532946435703330, 'n': 3, 'trace_an': -2}
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id: 209144003
{'hecke_orbit_code': 40532946435703330, 'n': 4, 'trace_an': -2}
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id: 209144004
{'hecke_orbit_code': 40532946435703330, 'n': 5, 'trace_an': 2}
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id: 209144005
{'hecke_orbit_code': 40532946435703330, 'n': 6, 'trace_an': -4}
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id: 209144006
{'hecke_orbit_code': 40532946435703330, 'n': 7, 'trace_an': 0}
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id: 209144007
{'hecke_orbit_code': 40532946435703330, 'n': 8, 'trace_an': -4}
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id: 209144008
{'hecke_orbit_code': 40532946435703330, 'n': 9, 'trace_an': -2}
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id: 209144009
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{'hecke_orbit_code': 40532946435703330, 'n': 973, 'trace_an': -70}
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id: 209144973
{'hecke_orbit_code': 40532946435703330, 'n': 974, 'trace_an': 64}
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id: 209144974
{'hecke_orbit_code': 40532946435703330, 'n': 975, 'trace_an': -6}
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id: 209144975
{'hecke_orbit_code': 40532946435703330, 'n': 976, 'trace_an': 8}
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id: 209144976
{'hecke_orbit_code': 40532946435703330, 'n': 977, 'trace_an': -72}
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id: 209144977
{'hecke_orbit_code': 40532946435703330, 'n': 978, 'trace_an': 26}
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id: 209144978
{'hecke_orbit_code': 40532946435703330, 'n': 979, 'trace_an': 12}
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id: 209144979
{'hecke_orbit_code': 40532946435703330, 'n': 980, 'trace_an': 14}
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id: 209144980
{'hecke_orbit_code': 40532946435703330, 'n': 981, 'trace_an': -16}
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id: 209144981
{'hecke_orbit_code': 40532946435703330, 'n': 982, 'trace_an': -20}
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id: 209144982
{'hecke_orbit_code': 40532946435703330, 'n': 983, 'trace_an': -14}
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id: 209144983
{'hecke_orbit_code': 40532946435703330, 'n': 984, 'trace_an': -10}
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id: 209144984
{'hecke_orbit_code': 40532946435703330, 'n': 985, 'trace_an': -132}
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id: 209144985
{'hecke_orbit_code': 40532946435703330, 'n': 986, 'trace_an': 40}
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id: 209144986
{'hecke_orbit_code': 40532946435703330, 'n': 987, 'trace_an': 0}
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id: 209144987
{'hecke_orbit_code': 40532946435703330, 'n': 988, 'trace_an': 20}
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id: 209144988
{'hecke_orbit_code': 40532946435703330, 'n': 989, 'trace_an': 28}
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id: 209144989
{'hecke_orbit_code': 40532946435703330, 'n': 990, 'trace_an': -10}
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id: 209144990
{'hecke_orbit_code': 40532946435703330, 'n': 991, 'trace_an': -32}
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id: 209144991
{'hecke_orbit_code': 40532946435703330, 'n': 992, 'trace_an': -4}
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id: 209144992
{'hecke_orbit_code': 40532946435703330, 'n': 993, 'trace_an': 88}
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id: 209144993
{'hecke_orbit_code': 40532946435703330, 'n': 994, 'trace_an': -28}
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id: 209144994
{'hecke_orbit_code': 40532946435703330, 'n': 995, 'trace_an': 176}
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id: 209144995
{'hecke_orbit_code': 40532946435703330, 'n': 996, 'trace_an': 16}
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id: 209144996
{'hecke_orbit_code': 40532946435703330, 'n': 997, 'trace_an': -24}
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id: 209144997
{'hecke_orbit_code': 40532946435703330, 'n': 998, 'trace_an': -48}
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id: 209144998
{'hecke_orbit_code': 40532946435703330, 'n': 999, 'trace_an': -6}
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id: 209144999
{'hecke_orbit_code': 40532946435703330, 'n': 1000, 'trace_an': 48}