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{'Nk2': 18240, 'analytic_conductor': 36.41178332170386, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [19, 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': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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, [-2, 1]], [11, [-2, 1]], [13, [0, 1]], [17, [2, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227303376, 'hecke_ring_generator_nbound': 1, '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': '4560.2.a.bd', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '570.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}+q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/4560/bd'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4560.2.a', 'trace_display': [0, 1, 1, 2], 'trace_hash': 199038200836198392, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.067', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.154', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.008', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, -2, 0, -1, 0, 2, 0, 8, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 4, 0, 0, 0, -8, 0, 6, 0, 1, 0, 8, 0, -3, 0, -2, 0, -10, 0, 2, 0, -1, 0, 8, 0, 2, 0, 2, 0, 0, 0, 0, 0, 8, 0, -8, 0, -2, 0, 1, 0, 4, 0, 8, 0, 1, 0, 16, 0, -2, 0, 0, 0, 16, 0, 0, 0, 0, 0, -1, 0, 8, 0, 2, 0, 2, 0, -12, 0, 2, 0, -20, 0, 2, 0, 4, 0, -2, 0, 8, 0, 0, 0, -4, 0, -7, 0, -8, 0, 1, 0, -16, 0, 6, 0, 6, 0, -2, 0, 1, 0, 18, 0, -8, 0, 8, 0, 0, 0, 0, 0, -3, 0, 2, 0, 8, 0, -2, 0, 0, 0, -6, 0, -10, 0, 16, 0, 10, 0, 2, 0, 0, 0, -13, 0, -1, 0, -6, 0, 2, 0, 8, 0, 8, 0, -6, 0, 2, 0, 4, 0, -4, 0, 2, 0, -10, 0, -4, 0, 0, 0, 10, 0, 4, 0, 0, 0, 0, 0, -8, 0, 8, 0, -2, 0, -4, 0, -8, 0, 6, 0, 0, 0, -2, 0, 0, 0, -12, 0, 1, 0, 4, 0, 10, 0, 4, 0, -6, 0, 8, 0, 8, 0, -6, 0, 10, 0, 1, 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-
mf_newspaces • Show schema
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'char_values': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558992, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3], 'label': '4560.2.a', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 984, 'mf_new_dim': 72, 'num_forms': 48, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 0, -8], 'traces': [72, 0, 0, 0, 0, 0, -8, 0, 72, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 72, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 48, 0, 72, 0, 0, 0, 32, 0, -16, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 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0, 16, 0, 64, 0, 32, 0, -160, 0, -80, 0, -64, 0, 352, 0, 736, 0, -48, 0, -160, 0, -160, 0, 32, 0, 80, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 48700017
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303376, 'source_is_minimal': False, 'source_label': '4560.2.a.bd.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227303376, 'target_is_minimal': False, 'target_label': '4560.2.a.bd.1.1', 'target_level': 4560, 'twist_class_label': '570.2.a.c.1.1', 'twist_class_level': 570, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48700018
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303376, 'source_is_minimal': False, 'source_label': '4560.2.a.bd.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295994, 'target_is_minimal': True, 'target_label': '570.2.a.c.1.1', 'target_level': 570, 'twist_class_label': '570.2.a.c.1.1', 'twist_class_level': 570, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48700019
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303376, 'source_is_minimal': False, 'source_label': '4560.2.a.bd.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189372590, 'target_is_minimal': False, 'target_label': '1710.2.a.n.1.1', 'target_level': 1710, 'twist_class_label': '570.2.a.c.1.1', 'twist_class_level': 570, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48700020
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303376, 'source_is_minimal': False, 'source_label': '4560.2.a.bd.1.1', 'source_level': 4560, 'target_conrey_index': 799, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547001347803938, 'target_is_minimal': False, 'target_label': '2850.2.d.n.799.2', 'target_level': 2850, 'twist_class_label': '570.2.a.c.1.1', 'twist_class_level': 570, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48700021
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303376, 'source_is_minimal': False, 'source_label': '4560.2.a.bd.1.1', 'source_level': 4560, 'target_conrey_index': 799, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547001347803938, 'target_is_minimal': False, 'target_label': '2850.2.d.n.799.1', 'target_level': 2850, 'twist_class_label': '570.2.a.c.1.1', 'twist_class_level': 570, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48700022
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303376, 'source_is_minimal': False, 'source_label': '4560.2.a.bd.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345190178, 'target_is_minimal': False, 'target_label': '2850.2.a.ba.1.1', 'target_level': 2850, 'twist_class_label': '570.2.a.c.1.1', 'twist_class_level': 570, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48700023
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 130604389227303376, 'source_is_minimal': False, 'source_label': '4560.2.a.bd.1.1', 'source_level': 4560, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816749926, 'target_is_minimal': False, 'target_label': '8550.2.a.o.1.1', 'target_level': 8550, 'twist_class_label': '570.2.a.c.1.1', 'twist_class_level': 570, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3634650
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 2}
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id: 3634651
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 3}
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id: 3634652
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 5}
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id: 3634653
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 7}
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id: 3634654
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 11}
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id: 3634655
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 13}
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id: 3634656
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 17}
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id: 3634657
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 19}
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id: 3634658
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 23}
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id: 3634659
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 29}
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id: 3634660
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 31}
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id: 3634661
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 37}
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id: 3634662
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 41}
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id: 3634663
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 43}
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id: 3634664
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 47}
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id: 3634665
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 53}
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id: 3634666
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 59}
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id: 3634667
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 61}
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id: 3634668
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 67}
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id: 3634669
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 71}
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id: 3634670
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 73}
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id: 3634671
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 79}
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id: 3634672
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 83}
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id: 3634673
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 89}
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id: 3634674
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 130604389227303376, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '4560.2.a.bd', 'level': 4560, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 264432000
{'hecke_orbit_code': 130604389227303376, 'n': 1, 'trace_an': 1}
-
id: 264432001
{'hecke_orbit_code': 130604389227303376, 'n': 2, 'trace_an': 0}
-
id: 264432002
{'hecke_orbit_code': 130604389227303376, 'n': 3, 'trace_an': 1}
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id: 264432003
{'hecke_orbit_code': 130604389227303376, 'n': 4, 'trace_an': 0}
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id: 264432004
{'hecke_orbit_code': 130604389227303376, 'n': 5, 'trace_an': 1}
-
id: 264432005
{'hecke_orbit_code': 130604389227303376, 'n': 6, 'trace_an': 0}
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id: 264432006
{'hecke_orbit_code': 130604389227303376, 'n': 7, 'trace_an': 2}
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id: 264432007
{'hecke_orbit_code': 130604389227303376, 'n': 8, 'trace_an': 0}
-
id: 264432008
{'hecke_orbit_code': 130604389227303376, 'n': 9, 'trace_an': 1}
-
id: 264432009
{'hecke_orbit_code': 130604389227303376, 'n': 10, 'trace_an': 0}
-
id: 264432010
{'hecke_orbit_code': 130604389227303376, 'n': 11, 'trace_an': 2}
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id: 264432011
{'hecke_orbit_code': 130604389227303376, 'n': 12, 'trace_an': 0}
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id: 264432012
{'hecke_orbit_code': 130604389227303376, 'n': 13, 'trace_an': 0}
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id: 264432013
{'hecke_orbit_code': 130604389227303376, 'n': 14, 'trace_an': 0}
-
id: 264432014
{'hecke_orbit_code': 130604389227303376, 'n': 15, 'trace_an': 1}
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id: 264432015
{'hecke_orbit_code': 130604389227303376, 'n': 16, 'trace_an': 0}
-
id: 264432016
{'hecke_orbit_code': 130604389227303376, 'n': 17, 'trace_an': -2}
-
id: 264432017
{'hecke_orbit_code': 130604389227303376, 'n': 18, 'trace_an': 0}
-
id: 264432018
{'hecke_orbit_code': 130604389227303376, 'n': 19, 'trace_an': -1}
-
id: 264432019
{'hecke_orbit_code': 130604389227303376, 'n': 20, 'trace_an': 0}
-
id: 264432020
{'hecke_orbit_code': 130604389227303376, 'n': 21, 'trace_an': 2}
-
id: 264432021
{'hecke_orbit_code': 130604389227303376, 'n': 22, 'trace_an': 0}
-
id: 264432022
{'hecke_orbit_code': 130604389227303376, 'n': 23, 'trace_an': 8}
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id: 264432023
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