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{'Nk2': 8624, 'analytic_conductor': 31.802029493094192, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1], [11, 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': [539, 1, [199, 442], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-2, -2, 1]], [3, [-47, -2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398576591387, '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': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '539.4.a.e', 'level': 539, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'minimal_twist': '11.4.a.a', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{2}+(1+4\\beta )q^{3}+(-4+2\\beta )q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '539.4.a', 'trace_display': [2, 2, -2, 0], 'trace_hash': 2212432896189019726, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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-
mf_newspaces • Show schema
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{'ALdims': [28, 20, 24, 30], 'Nk2': 8624, 'analytic_conductor': 31.802029493094192, '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': [539, 1, [199, 442], [1, 1]], 'conrey_index': 1, 'cusp_dim': 160, 'dim': 102, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 67109403, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 4, 4, 5, 6, 9, 9, 10, 10, 10, 10, 18], 'label': '539.4.a', 'level': 539, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 176, 'mf_new_dim': 102, 'num_forms': 16, 'plus_dim': 58, 'prim_orbit_index': 1, 'relative_dim': 102, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [2, -2, 22, 0], 'traces': [102, 2, -2, 392, 22, -10, 0, 72, 888, 62, -22, 132, 88, 0, 150, 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mf_twists_cc • Show schema
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id: 44105688
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398576591387, 'target_is_minimal': False, 'target_label': '539.4.a.e.1.2', 'target_level': 539, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 44105689
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67108875, 'target_is_minimal': True, 'target_label': '11.4.a.a.1.2', 'target_level': 11, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 44105690
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849955, 'target_is_minimal': False, 'target_label': '99.4.a.c.1.1', 'target_level': 99, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 44105691
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797086073008, 'target_is_minimal': False, 'target_label': '176.4.a.i.1.2', 'target_level': 176, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 44105692
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268041326867, 'target_is_minimal': False, 'target_label': '275.4.b.c.199.1', 'target_level': 275, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 44105693
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007268041326867, 'target_is_minimal': False, 'target_label': '275.4.b.c.199.4', 'target_level': 275, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 44105694
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479635, 'target_is_minimal': False, 'target_label': '275.4.a.b.1.1', 'target_level': 275, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 4}
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id: 44105695
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994477667008, 'target_is_minimal': False, 'target_label': '704.4.a.p.1.2', 'target_level': 704, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 44105696
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795222926016, 'target_is_minimal': False, 'target_label': '704.4.a.n.1.1', 'target_level': 704, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 44105697
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 3, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135642914937, 'target_is_minimal': False, 'target_label': '121.4.c.f.3.2', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '77.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 44105698
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135642914937, 'target_is_minimal': False, 'target_label': '121.4.c.f.81.2', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '77.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 44105699
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336760803449, 'target_is_minimal': False, 'target_label': '121.4.c.c.81.1', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '77.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 44105700
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 3, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336760803449, 'target_is_minimal': False, 'target_label': '121.4.c.c.3.1', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '77.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 44105701
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135642914937, 'target_is_minimal': False, 'target_label': '121.4.c.f.9.1', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '77.41', 'twisting_conrey_index': 41, 'weight': 4}
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id: 44105702
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 27, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336760803449, 'target_is_minimal': False, 'target_label': '121.4.c.c.27.2', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '77.48', 'twisting_conrey_index': 48, 'weight': 4}
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id: 44105703
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 27, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135642914937, 'target_is_minimal': False, 'target_label': '121.4.c.f.27.1', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '77.62', 'twisting_conrey_index': 62, 'weight': 4}
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id: 44105704
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336760803449, 'target_is_minimal': False, 'target_label': '121.4.c.c.9.2', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '77.69', 'twisting_conrey_index': 69, 'weight': 4}
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id: 44105705
{'conductor': 77, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849977, 'target_is_minimal': False, 'target_label': '121.4.a.c.1.1', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '77.76', 'twisting_conrey_index': 76, 'weight': 4}
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id: 44105706
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789633484336, 'target_is_minimal': False, 'target_label': '1584.4.a.bc.1.1', 'target_level': 1584, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 44105707
{'conductor': 91, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110723, 'target_is_minimal': False, 'target_label': '1859.4.a.a.1.1', 'target_level': 1859, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '91.90', 'twisting_conrey_index': 90, 'weight': 4}
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id: 44105708
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594105039275, 'target_is_minimal': False, 'target_label': '2475.4.a.q.1.2', 'target_level': 2475, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 4}
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id: 44105709
{'conductor': 231, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592241890369, 'target_is_minimal': False, 'target_label': '1089.4.a.v.1.2', 'target_level': 1089, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '231.230', 'twisting_conrey_index': 230, 'weight': 4}
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id: 44105710
{'conductor': 308, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014398576591387, 'source_is_minimal': False, 'source_label': '539.4.a.e.1.2', 'source_level': 539, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079191869261712, 'target_is_minimal': False, 'target_label': '1936.4.a.w.1.2', 'target_level': 1936, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '308.307', 'twisting_conrey_index': 307, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1021325
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 2}
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id: 1021326
{'charpoly_factorization': [[[-47, -2, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 3}
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id: 1021327
{'charpoly_factorization': [[[-191, 2, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 5}
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id: 1021328
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398576591387, 'p': 7}
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id: 1021329
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 18014398576591387, 'p': 11}
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id: 1021330
{'charpoly_factorization': [[[400, 80, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 13}
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id: 1021331
{'charpoly_factorization': [[[3412, -124, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 17}
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id: 1021332
{'charpoly_factorization': [[[-9504, 72, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 19}
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id: 1021333
{'charpoly_factorization': [[[-1487, 98, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 23}
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id: 1021334
{'charpoly_factorization': [[[-4224, -144, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 29}
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id: 1021335
{'charpoly_factorization': [[[-2063, -34, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 31}
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id: 1021336
{'charpoly_factorization': [[[537, -54, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 37}
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id: 1021337
{'charpoly_factorization': [[[71776, 536, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 41}
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id: 1021338
{'charpoly_factorization': [[[132, 60, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 43}
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id: 1021339
{'charpoly_factorization': [[[-24704, -272, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 47}
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id: 1021340
{'charpoly_factorization': [[[51108, 492, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 53}
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id: 1021341
{'charpoly_factorization': [[[48217, 634, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 59}
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id: 1021342
{'charpoly_factorization': [[[74832, 840, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 61}
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id: 1021343
{'charpoly_factorization': [[[140929, -754, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 67}
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id: 1021344
{'charpoly_factorization': [[[97593, 678, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 71}
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id: 1021345
{'charpoly_factorization': [[[-617072, -400, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 73}
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id: 1021346
{'charpoly_factorization': [[[-1266044, -316, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 79}
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id: 1021347
{'charpoly_factorization': [[[11556, 468, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 83}
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id: 1021348
{'charpoly_factorization': [[[525489, -1842, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 89}
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id: 1021349
{'charpoly_factorization': [[[1141201, 2194, 1], 1]], 'hecke_orbit_code': 18014398576591387, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '539.4.a.e', 'level': 539, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 39822793
{'hecke_orbit_code': 18014398576591387, 'n': 1, 'trace_an': 2}
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id: 39822794
{'hecke_orbit_code': 18014398576591387, 'n': 2, 'trace_an': 2}
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id: 39822795
{'hecke_orbit_code': 18014398576591387, 'n': 3, 'trace_an': 2}
-
id: 39822796
{'hecke_orbit_code': 18014398576591387, 'n': 4, 'trace_an': -8}
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id: 39822797
{'hecke_orbit_code': 18014398576591387, 'n': 5, 'trace_an': -2}
-
id: 39822798
{'hecke_orbit_code': 18014398576591387, 'n': 6, 'trace_an': 26}
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id: 39822799
{'hecke_orbit_code': 18014398576591387, 'n': 7, 'trace_an': 0}
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id: 39822800
{'hecke_orbit_code': 18014398576591387, 'n': 8, 'trace_an': -12}
-
id: 39822801
{'hecke_orbit_code': 18014398576591387, 'n': 9, 'trace_an': 44}
-
id: 39822802
{'hecke_orbit_code': 18014398576591387, 'n': 10, 'trace_an': -50}
-
id: 39822803
{'hecke_orbit_code': 18014398576591387, 'n': 11, 'trace_an': -22}
-
id: 39822804
{'hecke_orbit_code': 18014398576591387, 'n': 12, 'trace_an': 40}
-
id: 39822805
{'hecke_orbit_code': 18014398576591387, 'n': 13, 'trace_an': -80}
-
id: 39822806
{'hecke_orbit_code': 18014398576591387, 'n': 14, 'trace_an': 0}
-
id: 39822807
{'hecke_orbit_code': 18014398576591387, 'n': 15, 'trace_an': -194}
-
id: 39822808
{'hecke_orbit_code': 18014398576591387, 'n': 16, 'trace_an': -8}
-
id: 39822809
{'hecke_orbit_code': 18014398576591387, 'n': 17, 'trace_an': 124}
-
id: 39822810
{'hecke_orbit_code': 18014398576591387, 'n': 18, 'trace_an': 92}
-
id: 39822811
{'hecke_orbit_code': 18014398576591387, 'n': 19, 'trace_an': -72}
-
id: 39822812
{'hecke_orbit_code': 18014398576591387, 'n': 20, 'trace_an': -88}
-
id: 39822813
{'hecke_orbit_code': 18014398576591387, 'n': 21, 'trace_an': 0}
-
id: 39822814
{'hecke_orbit_code': 18014398576591387, 'n': 22, 'trace_an': -22}
-
id: 39822815
{'hecke_orbit_code': 18014398576591387, 'n': 23, 'trace_an': -98}
-
id: 39822816
{'hecke_orbit_code': 18014398576591387, 'n': 24, 'trace_an': -252}
-
id: 39822817
{'hecke_orbit_code': 18014398576591387, 'n': 25, 'trace_an': 136}
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id: 39822818
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