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{'Nk2': 20328, 'analytic_conductor': 40.57997430721469, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [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': [5082, 1, [3389, 4357, 2059], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 4400, 'field_disc_factorization': [[2, 4], [5, 2], [11, 1]], 'field_poly': [11, 0, -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': [[5, [-5, 20, -9, -2, 1]], [13, [4, -4, -8, 2, 1]], [17, [-155, -250, -41, 6, 1]], [19, [-5, -20, -11, 4, 1]]], 'hecke_orbit': 53, 'hecke_orbit_code': 234187180656825306, 'hecke_ring_generator_nbound': 13, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5082.2.a.ca', 'level': 5082, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.j.e', 'nf_label': '4.4.4400.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+(1+\\beta _{2}+\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5082.2.a', 'trace_display': [-4, 4, 2, -4], 'trace_hash': 1838854718639841934, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.721', 'prec': 17}, {'__RealLiteral__': 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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 4, 3], [[[2, 1], [3, -1], [7, 1], [11, 1]], 8, 3], [[[2, -1], [3, 1], [7, 1], [11, 1]], 10, 5], [[[2, 1], [3, 1], [7, -1], [11, -1]], 6, 3], [[[2, -1], [3, -1], [7, 1], [11, 1]], 5, 3], [[[2, -1], [3, 1], [7, -1], [11, -1]], 9, 6], [[[2, 1], [3, -1], [7, -1], [11, -1]], 6, 4], [[[2, -1], [3, -1], [7, 1], [11, -1]], 9, 4], [[[2, -1], [3, -1], [7, -1], [11, 1]], 10, 3], [[[2, 1], [3, -1], [7, 1], [11, -1]], 6, 3], [[[2, -1], [3, 1], [7, -1], [11, 1]], 5, 3], [[[2, 1], [3, 1], [7, 1], [11, 1]], 7, 3], [[[2, 1], [3, 1], [7, -1], [11, 1]], 8, 5], [[[2, -1], [3, 1], [7, 1], [11, -1]], 4, 3], [[[2, 1], [3, 1], [7, 1], [11, -1]], 6, 5], [[[2, 1], [3, -1], [7, -1], [11, 1]], 7, 3]], 'ALdims': [7, 6, 8, 6, 8, 6, 7, 6, 10, 4, 5, 9, 5, 9, 10, 4], 'Nk2': 20328, 'analytic_conductor': 40.57997430721469, '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': [5082, 1, [3389, 4357, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1009, 'dim': 110, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19], 'hecke_orbit_code': 33559514, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '5082.2.a', 'level': 5082, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 1104, 'mf_new_dim': 110, 'num_forms': 59, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 2112, 'trace_bound': 13, 'trace_display': [2, 0, 4, 0], 'traces': [110, 2, 0, 110, 4, 0, 0, 2, 110, 4, 0, 0, -12, 0, -8, 110, 4, 2, 0, 4, -2, 0, 0, 0, 114, 4, 0, 0, 28, -8, -32, 2, 0, 4, 8, 110, 4, 0, -8, 4, 20, 2, 0, 0, 4, -8, -16, 0, 110, -2, -8, -12, -4, 0, 0, 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16, 4, -176, 104, 0, 552, -80, -432, -32, 4, 216, 240, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 49055806
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 234187180656825306, 'source_is_minimal': False, 'source_label': '5082.2.a.ca.1.1', 'source_level': 5082, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 234187180656825306, 'target_is_minimal': False, 'target_label': '5082.2.a.ca.1.1', 'target_level': 5082, 'twist_class_label': '462.2.j.e.169.2', 'twist_class_level': 462, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49055807
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 234187180656825306, 'source_is_minimal': False, 'source_label': '5082.2.a.ca.1.1', 'source_level': 5082, 'target_conrey_index': 169, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015017018327502, 'target_is_minimal': True, 'target_label': '462.2.j.e.169.2', 'target_level': 462, 'twist_class_label': '462.2.j.e.169.2', 'twist_class_level': 462, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49055808
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 234187180656825306, 'source_is_minimal': False, 'source_label': '5082.2.a.ca.1.1', 'source_level': 5082, 'target_conrey_index': 421, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015017018327502, 'target_is_minimal': True, 'target_label': '462.2.j.e.421.2', 'target_level': 462, 'twist_class_label': '462.2.j.e.169.2', 'twist_class_level': 462, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49055809
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 234187180656825306, 'source_is_minimal': False, 'source_label': '5082.2.a.ca.1.1', 'source_level': 5082, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 256705178793677786, 'target_is_minimal': False, 'target_label': '5082.2.a.cf.1.1', 'target_level': 5082, 'twist_class_label': '462.2.j.e.169.2', 'twist_class_level': 462, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3794925
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 234187180656825306, 'p': 2}
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id: 3794926
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 234187180656825306, 'p': 3}
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id: 3794927
{'charpoly_factorization': [[[-5, 20, -9, -2, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 5}
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id: 3794928
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 234187180656825306, 'p': 7}
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id: 3794929
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 234187180656825306, 'p': 11}
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id: 3794930
{'charpoly_factorization': [[[4, -4, -8, 2, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 13}
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id: 3794931
{'charpoly_factorization': [[[-155, -250, -41, 6, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 17}
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id: 3794932
{'charpoly_factorization': [[[-5, -20, -11, 4, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 19}
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id: 3794933
{'charpoly_factorization': [[[5, 0, -9, 2, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 23}
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id: 3794934
{'charpoly_factorization': [[[-20, 200, 106, 18, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 29}
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id: 3794935
{'charpoly_factorization': [[[-139, 198, -21, -8, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 31}
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id: 3794936
{'charpoly_factorization': [[[-49, 0, 27, 10, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 37}
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id: 3794937
{'charpoly_factorization': [[[-55, -110, 19, 14, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 41}
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id: 3794938
{'charpoly_factorization': [[[116, -660, -72, 10, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 43}
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id: 3794939
{'charpoly_factorization': [[[-236, -368, -122, 6, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 47}
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id: 3794940
{'charpoly_factorization': [[[236, -76, -34, 4, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 53}
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id: 3794941
{'charpoly_factorization': [[[-500, -400, -30, 10, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 59}
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id: 3794942
{'charpoly_factorization': [[[596, -188, -106, 8, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 61}
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id: 3794943
{'charpoly_factorization': [[[404, -564, -58, 12, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 67}
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id: 3794944
{'charpoly_factorization': [[[-2864, 560, 72, -20, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 71}
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id: 3794945
{'charpoly_factorization': [[[916, -280, -42, 10, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 73}
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id: 3794946
{'charpoly_factorization': [[[-4220, 1480, -66, -14, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 79}
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id: 3794947
{'charpoly_factorization': [[[-11564, -4340, -162, 20, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 83}
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id: 3794948
{'charpoly_factorization': [[[20725, -530, -309, 2, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 89}
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id: 3794949
{'charpoly_factorization': [[[-4, -20, -18, 0, 1], 1]], 'hecke_orbit_code': 234187180656825306, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 53, 'label': '5082.2.a.ca', 'level': 5082, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 277946000
{'hecke_orbit_code': 234187180656825306, 'n': 1, 'trace_an': 4}
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id: 277946001
{'hecke_orbit_code': 234187180656825306, 'n': 2, 'trace_an': -4}
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id: 277946002
{'hecke_orbit_code': 234187180656825306, 'n': 3, 'trace_an': 4}
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id: 277946003
{'hecke_orbit_code': 234187180656825306, 'n': 4, 'trace_an': 4}
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id: 277946004
{'hecke_orbit_code': 234187180656825306, 'n': 5, 'trace_an': 2}
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id: 277946005
{'hecke_orbit_code': 234187180656825306, 'n': 6, 'trace_an': -4}
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id: 277946006
{'hecke_orbit_code': 234187180656825306, 'n': 7, 'trace_an': -4}
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id: 277946007
{'hecke_orbit_code': 234187180656825306, 'n': 8, 'trace_an': -4}
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id: 277946008
{'hecke_orbit_code': 234187180656825306, 'n': 9, 'trace_an': 4}
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id: 277946009
{'hecke_orbit_code': 234187180656825306, 'n': 10, 'trace_an': -2}
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id: 277946010
{'hecke_orbit_code': 234187180656825306, 'n': 11, 'trace_an': 0}
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id: 277946011
{'hecke_orbit_code': 234187180656825306, 'n': 12, 'trace_an': 4}
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id: 277946012
{'hecke_orbit_code': 234187180656825306, 'n': 13, 'trace_an': -2}
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id: 277946013
{'hecke_orbit_code': 234187180656825306, 'n': 14, 'trace_an': 4}
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id: 277946014
{'hecke_orbit_code': 234187180656825306, 'n': 15, 'trace_an': 2}
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id: 277946015
{'hecke_orbit_code': 234187180656825306, 'n': 16, 'trace_an': 4}
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id: 277946016
{'hecke_orbit_code': 234187180656825306, 'n': 17, 'trace_an': -6}
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id: 277946017
{'hecke_orbit_code': 234187180656825306, 'n': 18, 'trace_an': -4}
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id: 277946018
{'hecke_orbit_code': 234187180656825306, 'n': 19, 'trace_an': -4}
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id: 277946019
{'hecke_orbit_code': 234187180656825306, 'n': 20, 'trace_an': 2}
-
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id: 277946995
{'hecke_orbit_code': 234187180656825306, 'n': 996, 'trace_an': -20}
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id: 277946996
{'hecke_orbit_code': 234187180656825306, 'n': 997, 'trace_an': -6}
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id: 277946997
{'hecke_orbit_code': 234187180656825306, 'n': 998, 'trace_an': 18}
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id: 277946998
{'hecke_orbit_code': 234187180656825306, 'n': 999, 'trace_an': -10}
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id: 277946999
{'hecke_orbit_code': 234187180656825306, 'n': 1000, 'trace_an': 18}