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{'Nk2': 37440, 'analytic_conductor': 74.73997629191844, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [13, 1]], 'atkin_lehner_string': '+-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9360, 1, [8191, 2341, 2081, 5617, 5761], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 940, 'field_disc_factorization': [[2, 2], [5, 1], [47, 1]], 'field_poly': [-4, -7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-40, -20, 1, 1]], [11, [32, -8, -5, 1]], [17, [-356, -52, 7, 1]], [19, [-16, -16, 6, 1]], [31, [32, -64, 2, 1]]], 'hecke_orbit': 77, 'hecke_orbit_code': 342273571713721488, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9360.2.a.cy', 'level': 9360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '1560.2.a.q', 'nf_label': '3.3.940.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-\\beta _{2}q^{7}+(2+\\beta _{1})q^{11}-q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9360.2.a', 'trace_display': [0, 0, -3, -1], 'trace_hash': 189684091487707162, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.957', 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mf_hecke_cc • Show schema
Hide schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 7, 4], [[[2, -1], [3, 1], [5, 1], [13, -1]], 7, 5], [[[2, 1], [3, 1], [5, -1], [13, -1]], 5, 3], [[[2, -1], [3, 1], [5, -1], [13, 1]], 5, 4], [[[2, -1], [3, 1], [5, -1], [13, -1]], 7, 5], [[[2, -1], [3, -1], [5, 1], [13, 1]], 9, 6], [[[2, 1], [3, -1], [5, -1], [13, -1]], 11, 7], [[[2, 1], [3, 1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 8, 7], [[[2, 1], [3, 1], [5, 1], [13, 1]], 7, 4], [[[2, -1], [3, 1], [5, 1], [13, 1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [13, 1]], 8, 5], [[[2, -1], [3, -1], [5, 1], [13, -1]], 10, 8], [[[2, -1], [3, -1], [5, -1], [13, 1]], 10, 9], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, 1], [13, 1]], 9, 5]], 'ALdims': [7, 5, 7, 5, 9, 8, 8, 11, 5, 7, 5, 7, 9, 10, 10, 7], 'Nk2': 37440, 'analytic_conductor': 74.73997629191844, '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': [9360, 1, [8191, 2341, 2081, 5617, 5761], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1969, 'dim': 120, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19, 31], 'hecke_orbit_code': 33563792, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '9360.2.a', 'level': 9360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 2064, 'mf_new_dim': 120, 'num_forms': 83, 'plus_dim': 56, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 4032, 'trace_bound': 19, 'trace_display': [0, 0, 0, 4], 'traces': [120, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, 8, 0, 120, 0, 0, 0, -24, 0, -8, 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mf_twists_cc • Show schema
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id: 49148850
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 342273571713721488, 'source_is_minimal': False, 'source_label': '9360.2.a.cy.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 342273571713721488, 'target_is_minimal': False, 'target_label': '9360.2.a.cy.1.1', 'target_level': 9360, 'twist_class_label': '1560.2.a.q.1.3', 'twist_class_level': 1560, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49148851
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 342273571713721488, 'source_is_minimal': False, 'source_label': '9360.2.a.cy.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364154416, 'target_is_minimal': False, 'target_label': '3120.2.a.bi.1.1', 'target_level': 3120, 'twist_class_label': '1560.2.a.q.1.3', 'twist_class_level': 1560, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49148852
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 342273571713721488, 'source_is_minimal': False, 'source_label': '9360.2.a.cy.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 148618787736785480, 'target_is_minimal': False, 'target_label': '4680.2.a.bh.1.3', 'target_level': 4680, 'twist_class_label': '1560.2.a.q.1.3', 'twist_class_level': 1560, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49148853
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 342273571713721488, 'source_is_minimal': False, 'source_label': '9360.2.a.cy.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594071483928, 'target_is_minimal': True, 'target_label': '1560.2.a.q.1.3', 'target_level': 1560, 'twist_class_label': '1560.2.a.q.1.3', 'twist_class_level': 1560, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49148854
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 342273571713721488, 'source_is_minimal': False, 'source_label': '9360.2.a.cy.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364159096, 'target_is_minimal': False, 'target_label': '7800.2.a.bi.1.1', 'target_level': 7800, 'twist_class_label': '1560.2.a.q.1.3', 'twist_class_level': 1560, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5007950
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 342273571713721488, 'p': 2}
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id: 5007951
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 342273571713721488, 'p': 3}
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id: 5007952
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 342273571713721488, 'p': 5}
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id: 5007953
{'charpoly_factorization': [[[-40, -20, 1, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 7}
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id: 5007954
{'charpoly_factorization': [[[32, -8, -5, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 11}
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id: 5007955
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 342273571713721488, 'p': 13}
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id: 5007956
{'charpoly_factorization': [[[-356, -52, 7, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 17}
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id: 5007957
{'charpoly_factorization': [[[-16, -16, 6, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 19}
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id: 5007958
{'charpoly_factorization': [[[-40, -20, 1, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 23}
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id: 5007959
{'charpoly_factorization': [[[-184, -12, 10, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 29}
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id: 5007960
{'charpoly_factorization': [[[32, -64, 2, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 31}
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id: 5007961
{'charpoly_factorization': [[[20, 24, -11, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 37}
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id: 5007962
{'charpoly_factorization': [[[-4, -16, -1, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 41}
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id: 5007963
{'charpoly_factorization': [[[-256, -112, 0, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 43}
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id: 5007964
{'charpoly_factorization': [[[-256, -32, 10, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 47}
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id: 5007965
{'charpoly_factorization': [[[-164, -112, 3, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 53}
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id: 5007966
{'charpoly_factorization': [[[1024, -160, -8, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 59}
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id: 5007967
{'charpoly_factorization': [[[-164, -112, 3, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 61}
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id: 5007968
{'charpoly_factorization': [[[640, -64, -12, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 67}
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id: 5007969
{'charpoly_factorization': [[[160, 104, 19, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 71}
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id: 5007970
{'charpoly_factorization': [[[-328, 180, -26, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 73}
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id: 5007971
{'charpoly_factorization': [[[160, 104, 19, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 79}
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id: 5007972
{'charpoly_factorization': [[[320, -176, 4, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 83}
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id: 5007973
{'charpoly_factorization': [[[20, 40, 13, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 89}
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id: 5007974
{'charpoly_factorization': [[[1420, -156, -9, 1], 1]], 'hecke_orbit_code': 342273571713721488, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 77, 'label': '9360.2.a.cy', 'level': 9360, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 280770000
{'hecke_orbit_code': 342273571713721488, 'n': 1, 'trace_an': 3}
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id: 280770001
{'hecke_orbit_code': 342273571713721488, 'n': 2, 'trace_an': 0}
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id: 280770002
{'hecke_orbit_code': 342273571713721488, 'n': 3, 'trace_an': 0}
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id: 280770003
{'hecke_orbit_code': 342273571713721488, 'n': 4, 'trace_an': 0}
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id: 280770004
{'hecke_orbit_code': 342273571713721488, 'n': 5, 'trace_an': -3}
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id: 280770005
{'hecke_orbit_code': 342273571713721488, 'n': 6, 'trace_an': 0}
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id: 280770006
{'hecke_orbit_code': 342273571713721488, 'n': 7, 'trace_an': -1}
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id: 280770007
{'hecke_orbit_code': 342273571713721488, 'n': 8, 'trace_an': 0}
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id: 280770008
{'hecke_orbit_code': 342273571713721488, 'n': 9, 'trace_an': 0}
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id: 280770009
{'hecke_orbit_code': 342273571713721488, 'n': 10, 'trace_an': 0}
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id: 280770010
{'hecke_orbit_code': 342273571713721488, 'n': 11, 'trace_an': 5}
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id: 280770011
{'hecke_orbit_code': 342273571713721488, 'n': 12, 'trace_an': 0}
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id: 280770012
{'hecke_orbit_code': 342273571713721488, 'n': 13, 'trace_an': -3}
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id: 280770013
{'hecke_orbit_code': 342273571713721488, 'n': 14, 'trace_an': 0}
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id: 280770014
{'hecke_orbit_code': 342273571713721488, 'n': 15, 'trace_an': 0}
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id: 280770015
{'hecke_orbit_code': 342273571713721488, 'n': 16, 'trace_an': 0}
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id: 280770016
{'hecke_orbit_code': 342273571713721488, 'n': 17, 'trace_an': -7}
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id: 280770017
{'hecke_orbit_code': 342273571713721488, 'n': 18, 'trace_an': 0}
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id: 280770018
{'hecke_orbit_code': 342273571713721488, 'n': 19, 'trace_an': -6}
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id: 280770019
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{'hecke_orbit_code': 342273571713721488, 'n': 991, 'trace_an': -73}
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id: 280770991
{'hecke_orbit_code': 342273571713721488, 'n': 992, 'trace_an': 0}
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id: 280770992
{'hecke_orbit_code': 342273571713721488, 'n': 993, 'trace_an': 0}
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id: 280770993
{'hecke_orbit_code': 342273571713721488, 'n': 994, 'trace_an': 0}
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id: 280770994
{'hecke_orbit_code': 342273571713721488, 'n': 995, 'trace_an': 36}
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id: 280770995
{'hecke_orbit_code': 342273571713721488, 'n': 996, 'trace_an': 0}
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id: 280770996
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id: 280770997
{'hecke_orbit_code': 342273571713721488, 'n': 998, 'trace_an': 0}
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id: 280770998
{'hecke_orbit_code': 342273571713721488, 'n': 999, 'trace_an': 0}
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id: 280770999
{'hecke_orbit_code': 342273571713721488, 'n': 1000, 'trace_an': 0}