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{'Nk2': 30276, 'analytic_conductor': 60.43876928990712, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [29, -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': [7569, 1, [5888, 1684], [1, 1]], 'cm_discs': [-3], 'conrey_index': 1, 'dim': 4, 'field_disc': 1125, 'field_disc_factorization': [[3, 2], [5, 3]], 'field_poly': [1, 4, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 15, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [0, 1]], [5, [0, 1]], [7, [211, 34, -34, -1, 1]], [19, [1711, 94, -94, -1, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208342417, 'hecke_ring_generator_nbound': 19, '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, 3, 2, -1, 2, -3]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '7569.2.a.v', 'level': 7569, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'minimal_twist': '7569.2.a.u', 'nf_label': '4.4.1125.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{4}+(-1+3\\beta _{1}-\\beta _{3})q^{7}+(4\\beta _{2}+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '7569.2.a', 'trace_display': [0, 0, 0, 1], 'trace_hash': 1525159003445774444, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.067', 'prec': 17}, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'ALdims': [61, 75, 98, 91], 'Nk2': 30276, 'analytic_conductor': 60.43876928990712, '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': [7569, 1, [5888, 1684], [1, 1]], 'conrey_index': 1, 'cusp_dim': 811, 'dim': 325, 'eis_dim': 119, 'eis_new_dim': 27, 'hecke_cutter_primes': [2, 5, 7, 19], 'hecke_orbit_code': 33562001, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 16, 16, 36], 'label': '7569.2.a', 'level': 7569, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'mf_dim': 930, 'mf_new_dim': 352, 'num_forms': 49, 'plus_dim': 152, 'prim_orbit_index': 1, 'relative_dim': 325, 'sturm_bound': 1740, 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122, 0, -314, 0, 0, 252, -12, 0, 226, 222, 0, 120, -16, 0, 10, -100, 0, 290], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48392686
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208342417, 'source_is_minimal': True, 'source_label': '7569.2.a.v.1.1', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208342417, 'target_is_minimal': True, 'target_label': '7569.2.a.v.1.1', 'target_level': 7569, 'twist_class_label': '7569.2.a.u.1.1', 'twist_class_level': 7569, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48392687
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208342417, 'source_is_minimal': True, 'source_label': '7569.2.a.v.1.1', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208342417, 'target_is_minimal': True, 'target_label': '7569.2.a.v.1.1', 'target_level': 7569, 'twist_class_label': '7569.2.a.u.1.1', 'twist_class_level': 7569, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48392688
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208342417, 'source_is_minimal': True, 'source_label': '7569.2.a.v.1.1', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580971921, 'target_is_minimal': True, 'target_label': '7569.2.a.u.1.1', 'target_level': 7569, 'twist_class_label': '7569.2.a.u.1.1', 'twist_class_level': 7569, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 48392689
{'conductor': 87, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208342417, 'source_is_minimal': True, 'source_label': '7569.2.a.v.1.1', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580971921, 'target_is_minimal': True, 'target_label': '7569.2.a.u.1.1', 'target_level': 7569, 'twist_class_label': '7569.2.a.u.1.1', 'twist_class_level': 7569, 'twisting_char_label': '87.86', 'twisting_conrey_index': 86, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4511925
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 2}
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id: 4511926
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 3}
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id: 4511927
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 5}
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id: 4511928
{'charpoly_factorization': [[[211, 34, -34, -1, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 7}
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id: 4511929
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 11}
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id: 4511930
{'charpoly_factorization': [[[601, -122, -61, 2, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 13}
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id: 4511931
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 17}
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id: 4511932
{'charpoly_factorization': [[[1711, 94, -94, -1, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 19}
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id: 4511933
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 23}
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id: 4511934
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 29}
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id: 4511935
{'charpoly_factorization': [[[2581, 556, -139, -4, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 31}
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id: 4511936
{'charpoly_factorization': [[[-899, -704, -64, 11, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 37}
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id: 4511937
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 41}
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id: 4511938
{'charpoly_factorization': [[[4495, -950, -190, 5, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 43}
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id: 4511939
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 47}
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id: 4511940
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 53}
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id: 4511941
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 59}
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id: 4511942
{'charpoly_factorization': [[[-4379, 1768, -136, -13, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 61}
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id: 4511943
{'charpoly_factorization': [[[-3449, -2354, -214, 11, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 67}
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id: 4511944
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 71}
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id: 4511945
{'charpoly_factorization': [[[145, 2650, -265, -10, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 73}
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id: 4511946
{'charpoly_factorization': [[[-6989, 2938, -226, -13, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 79}
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id: 4511947
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 83}
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id: 4511948
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94575592208342417, 'p': 89}
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id: 4511949
{'charpoly_factorization': [[[-9599, -4046, -289, 14, 1], 1]], 'hecke_orbit_code': 94575592208342417, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '7569.2.a.v', 'level': 7569, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65079703
{'hecke_orbit_code': 94575592208342417, 'n': 1, 'trace_an': 4}
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id: 65079704
{'hecke_orbit_code': 94575592208342417, 'n': 2, 'trace_an': 0}
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id: 65079705
{'hecke_orbit_code': 94575592208342417, 'n': 3, 'trace_an': 0}
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id: 65079706
{'hecke_orbit_code': 94575592208342417, 'n': 4, 'trace_an': -8}
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id: 65079707
{'hecke_orbit_code': 94575592208342417, 'n': 5, 'trace_an': 0}
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id: 65079708
{'hecke_orbit_code': 94575592208342417, 'n': 6, 'trace_an': 0}
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id: 65079709
{'hecke_orbit_code': 94575592208342417, 'n': 7, 'trace_an': 1}
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id: 65079710
{'hecke_orbit_code': 94575592208342417, 'n': 8, 'trace_an': 0}
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id: 65079711
{'hecke_orbit_code': 94575592208342417, 'n': 9, 'trace_an': 0}
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id: 65079712
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