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mf_newforms • Show schema
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{'Nk2': 36100, 'analytic_conductor': 72.06498782420555, 'analytic_rank': 1, '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': [9025, 1, [5777, 3251], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2000, 'field_disc_factorization': [[2, 4], [5, 3]], 'field_poly': [5, 0, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 20, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]], [3, [5, 0, -10, 0, 1]], [7, [-1, 1, 1]], [11, [-5, 5, 1]], [29, [80, 0, -20, 0, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364160321, 'hecke_ring_generator_nbound': 7, '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, 19, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9025.2.a.bi', 'level': 9025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'minimal_twist': '1805.2.a.k', 'nf_label': '4.4.2000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{3})q^{3}-2q^{4}+(-1-\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9025.2.a', 'trace_display': [0, 0, 0, -2], 'trace_hash': 774356060864245294, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.633', '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': [[[[5, -1], [19, -1]], 129, 17], [[[5, -1], [19, 1]], 139, 12], [[[5, 1], [19, 1]], 121, 18], [[[5, 1], [19, -1]], 126, 27]], 'ALdims': [121, 126, 139, 129], 'Nk2': 36100, 'analytic_conductor': 72.06498782420555, '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': [9025, 1, [5777, 3251], [1, 1]], 'conrey_index': 1, 'cusp_dim': 891, 'dim': 515, 'eis_dim': 119, 'eis_new_dim': 51, 'hecke_cutter_primes': [2, 3, 7, 11, 29], 'hecke_orbit_code': 33563457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9, 9, 9, 9, 10, 10, 10, 10, 16, 16, 16, 20, 20, 21, 21, 21, 21, 24, 24, 40], 'label': '9025.2.a', 'level': 9025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 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mf_twists_nf • Show schema
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id: 1414976
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '9025.2.a.bi', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1805.2.a.k', 'target_level': 1805, 'twist_class_label': '1805.2.a.k', 'twist_class_level': 1805, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1414977
{'conductor': 95, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '9025.2.a.bi', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1805.2.a.k', 'target_level': 1805, 'twist_class_label': '1805.2.a.k', 'twist_class_level': 1805, 'twisting_char_label': '95.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1414978
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '9025.2.a.bi', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '9025.2.a.bi', 'target_level': 9025, 'twist_class_label': '1805.2.a.k', 'twist_class_level': 1805, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1414979
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '9025.2.a.bi', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '9025.2.a.bi', 'target_level': 9025, 'twist_class_label': '1805.2.a.k', 'twist_class_level': 1805, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4914225
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 153122387364160321, 'p': 2}
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id: 4914226
{'charpoly_factorization': [[[5, 0, -10, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 3}
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id: 4914227
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 153122387364160321, 'p': 5}
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id: 4914228
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 153122387364160321, 'p': 7}
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id: 4914229
{'charpoly_factorization': [[[-5, 5, 1], 2]], 'hecke_orbit_code': 153122387364160321, 'p': 11}
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id: 4914230
{'charpoly_factorization': [[[5, 0, -10, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 13}
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id: 4914231
{'charpoly_factorization': [[[-11, 1, 1], 2]], 'hecke_orbit_code': 153122387364160321, 'p': 17}
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id: 4914232
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 153122387364160321, 'p': 19}
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id: 4914233
{'charpoly_factorization': [[[-19, 2, 1], 2]], 'hecke_orbit_code': 153122387364160321, 'p': 23}
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id: 4914234
{'charpoly_factorization': [[[80, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 29}
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id: 4914235
{'charpoly_factorization': [[[125, 0, -50, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 31}
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id: 4914236
{'charpoly_factorization': [[[4205, 0, -130, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 37}
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id: 4914237
{'charpoly_factorization': [[[4805, 0, -170, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 41}
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id: 4914238
{'charpoly_factorization': [[[71, -17, 1], 2]], 'hecke_orbit_code': 153122387364160321, 'p': 43}
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id: 4914239
{'charpoly_factorization': [[[-41, -4, 1], 2]], 'hecke_orbit_code': 153122387364160321, 'p': 47}
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id: 4914240
{'charpoly_factorization': [[[4205, 0, -185, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 53}
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id: 4914241
{'charpoly_factorization': [[[125, 0, -25, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 59}
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id: 4914242
{'charpoly_factorization': [[[20, 10, 1], 2]], 'hecke_orbit_code': 153122387364160321, 'p': 61}
-
id: 4914243
{'charpoly_factorization': [[[605, 0, -65, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 67}
-
id: 4914244
{'charpoly_factorization': [[[5, 0, -170, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 71}
-
id: 4914245
{'charpoly_factorization': [[[-11, 1], 4]], 'hecke_orbit_code': 153122387364160321, 'p': 73}
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id: 4914246
{'charpoly_factorization': [[[49005, 0, -450, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 79}
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id: 4914247
{'charpoly_factorization': [[[-29, 8, 1], 2]], 'hecke_orbit_code': 153122387364160321, 'p': 83}
-
id: 4914248
{'charpoly_factorization': [[[12005, 0, -245, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 89}
-
id: 4914249
{'charpoly_factorization': [[[4205, 0, -130, 0, 1], 1]], 'hecke_orbit_code': 153122387364160321, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '9025.2.a.bi', 'level': 9025, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 269905000
{'hecke_orbit_code': 153122387364160321, 'n': 1, 'trace_an': 4}
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id: 269905001
{'hecke_orbit_code': 153122387364160321, 'n': 2, 'trace_an': 0}
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id: 269905002
{'hecke_orbit_code': 153122387364160321, 'n': 3, 'trace_an': 0}
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id: 269905003
{'hecke_orbit_code': 153122387364160321, 'n': 4, 'trace_an': -8}
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id: 269905004
{'hecke_orbit_code': 153122387364160321, 'n': 5, 'trace_an': 0}
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id: 269905005
{'hecke_orbit_code': 153122387364160321, 'n': 6, 'trace_an': 0}
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id: 269905006
{'hecke_orbit_code': 153122387364160321, 'n': 7, 'trace_an': -2}
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id: 269905007
{'hecke_orbit_code': 153122387364160321, 'n': 8, 'trace_an': 0}
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id: 269905008
{'hecke_orbit_code': 153122387364160321, 'n': 9, 'trace_an': 8}
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id: 269905009
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id: 269905993
{'hecke_orbit_code': 153122387364160321, 'n': 994, 'trace_an': 0}
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id: 269905994
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id: 269905995
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id: 269905996
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id: 269905997
{'hecke_orbit_code': 153122387364160321, 'n': 998, 'trace_an': 0}
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id: 269905998
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id: 269905999
{'hecke_orbit_code': 153122387364160321, 'n': 1000, 'trace_an': 0}