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{'Nk2': 19600, 'analytic_conductor': 39.12669699042739, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [7, 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': [4900, 1, [2451, 1177, 101], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 1600, 'field_disc_factorization': [[2, 6], [5, 2]], 'field_poly': [4, 0, -6, 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': 1, 'hecke_cutters': [[3, [4, 0, -6, 0, 1]], [11, [-19, 2, 1]], [13, [4, 0, -6, 0, 1]], [19, [4, 0, -36, 0, 1]], [23, [-19, -2, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364156196, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4900.2.a.bi', 'level': 4900, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '4900.2.a.bg', 'nf_label': '4.4.1600.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+\\beta _{3}q^{9}+(-1-2\\beta _{3})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4900.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 960496270476287547, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.811', 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [7, -1]], 19, 11], [[[2, -1], [5, -1], [7, 1]], 15, 4], [[[2, -1], [5, 1], [7, -1]], 15, 13], [[[2, -1], [5, 1], [7, 1]], 16, 8]], 'ALdims': [0, 0, 0, 0, 16, 15, 15, 19], 'Nk2': 19600, 'analytic_conductor': 39.12669699042739, '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': [4900, 1, [2451, 1177, 101], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 769, 'dim': 65, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13, 19, 23], 'hecke_orbit_code': 33559332, '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, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], 'label': '4900.2.a', 'level': 4900, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 912, 'mf_new_dim': 65, 'num_forms': 36, 'plus_dim': 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0, -246, 0, -572, 0, 0, 0, -104, 0, 248, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1232180
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '4900.2.a.bi', 'source_level': 4900, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': True, 'target_label': '4900.2.a.bg', 'target_level': 4900, 'twist_class_label': '4900.2.a.bg', 'twist_class_level': 4900, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1232181
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '4900.2.a.bi', 'source_level': 4900, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': True, 'target_label': '4900.2.a.bg', 'target_level': 4900, 'twist_class_label': '4900.2.a.bg', 'twist_class_level': 4900, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1232182
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '4900.2.a.bi', 'source_level': 4900, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': True, 'target_label': '4900.2.a.bi', 'target_level': 4900, 'twist_class_label': '4900.2.a.bg', 'twist_class_level': 4900, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1232183
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '4900.2.a.bi', 'source_level': 4900, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': True, 'target_label': '4900.2.a.bi', 'target_level': 4900, 'twist_class_label': '4900.2.a.bg', 'twist_class_level': 4900, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1232184
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '4900.2.a.bi', 'source_level': 4900, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '4900.2.e.u', 'target_level': 4900, 'twist_class_label': '4900.2.a.bg', 'twist_class_level': 4900, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1232185
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 35, 'source_is_minimal': True, 'source_label': '4900.2.a.bi', 'source_level': 4900, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '4900.2.e.u', 'target_level': 4900, 'twist_class_label': '4900.2.a.bg', 'twist_class_level': 4900, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3739850
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 153122387364156196, 'p': 2}
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id: 3739851
{'charpoly_factorization': [[[4, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 3}
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id: 3739852
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 153122387364156196, 'p': 5}
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id: 3739853
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 153122387364156196, 'p': 7}
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id: 3739854
{'charpoly_factorization': [[[-19, 2, 1], 2]], 'hecke_orbit_code': 153122387364156196, 'p': 11}
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id: 3739855
{'charpoly_factorization': [[[4, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 13}
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id: 3739856
{'charpoly_factorization': [[[64, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 17}
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id: 3739857
{'charpoly_factorization': [[[4, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 19}
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id: 3739858
{'charpoly_factorization': [[[-19, -2, 1], 2]], 'hecke_orbit_code': 153122387364156196, 'p': 23}
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id: 3739859
{'charpoly_factorization': [[[-1, 4, 1], 2]], 'hecke_orbit_code': 153122387364156196, 'p': 29}
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id: 3739860
{'charpoly_factorization': [[[100, 0, -70, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 31}
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id: 3739861
{'charpoly_factorization': [[[-1, -4, 1], 2]], 'hecke_orbit_code': 153122387364156196, 'p': 37}
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id: 3739862
{'charpoly_factorization': [[[100, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 41}
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id: 3739863
{'charpoly_factorization': [[[31, -12, 1], 2]], 'hecke_orbit_code': 153122387364156196, 'p': 43}
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id: 3739864
{'charpoly_factorization': [[[1444, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 47}
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id: 3739865
{'charpoly_factorization': [[[-20, -10, 1], 2]], 'hecke_orbit_code': 153122387364156196, 'p': 53}
-
id: 3739866
{'charpoly_factorization': [[[100, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 59}
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id: 3739867
{'charpoly_factorization': [[[12100, 0, -270, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 61}
-
id: 3739868
{'charpoly_factorization': [[[-55, 10, 1], 2]], 'hecke_orbit_code': 153122387364156196, 'p': 67}
-
id: 3739869
{'charpoly_factorization': [[[55, -20, 1], 2]], 'hecke_orbit_code': 153122387364156196, 'p': 71}
-
id: 3739870
{'charpoly_factorization': [[[12100, 0, -270, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 73}
-
id: 3739871
{'charpoly_factorization': [[[29, 14, 1], 2]], 'hecke_orbit_code': 153122387364156196, 'p': 79}
-
id: 3739872
{'charpoly_factorization': [[[12100, 0, -230, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 83}
-
id: 3739873
{'charpoly_factorization': [[[8100, 0, -270, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 89}
-
id: 3739874
{'charpoly_factorization': [[[39204, 0, -414, 0, 1], 1]], 'hecke_orbit_code': 153122387364156196, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '4900.2.a.bi', 'level': 4900, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 269453000
{'hecke_orbit_code': 153122387364156196, 'n': 1, 'trace_an': 4}
-
id: 269453001
{'hecke_orbit_code': 153122387364156196, 'n': 2, 'trace_an': 0}
-
id: 269453002
{'hecke_orbit_code': 153122387364156196, 'n': 3, 'trace_an': 0}
-
id: 269453003
{'hecke_orbit_code': 153122387364156196, 'n': 4, 'trace_an': 0}
-
id: 269453004
{'hecke_orbit_code': 153122387364156196, 'n': 5, 'trace_an': 0}
-
id: 269453005
{'hecke_orbit_code': 153122387364156196, 'n': 6, 'trace_an': 0}
-
id: 269453006
{'hecke_orbit_code': 153122387364156196, 'n': 7, 'trace_an': 0}
-
id: 269453007
{'hecke_orbit_code': 153122387364156196, 'n': 8, 'trace_an': 0}
-
id: 269453008
{'hecke_orbit_code': 153122387364156196, 'n': 9, 'trace_an': 0}
-
id: 269453009
{'hecke_orbit_code': 153122387364156196, 'n': 10, 'trace_an': 0}
-
id: 269453010
{'hecke_orbit_code': 153122387364156196, 'n': 11, 'trace_an': -4}
-
id: 269453011
{'hecke_orbit_code': 153122387364156196, 'n': 12, 'trace_an': 0}
-
id: 269453012
{'hecke_orbit_code': 153122387364156196, 'n': 13, 'trace_an': 0}
-
id: 269453013
{'hecke_orbit_code': 153122387364156196, 'n': 14, 'trace_an': 0}
-
id: 269453014
{'hecke_orbit_code': 153122387364156196, 'n': 15, 'trace_an': 0}
-
id: 269453015
{'hecke_orbit_code': 153122387364156196, 'n': 16, 'trace_an': 0}
-
id: 269453016
{'hecke_orbit_code': 153122387364156196, 'n': 17, 'trace_an': 0}
-
id: 269453017
{'hecke_orbit_code': 153122387364156196, 'n': 18, 'trace_an': 0}
-
id: 269453018
{'hecke_orbit_code': 153122387364156196, 'n': 19, 'trace_an': 0}
-
id: 269453019
{'hecke_orbit_code': 153122387364156196, 'n': 20, 'trace_an': 0}
-
id: 269453020
{'hecke_orbit_code': 153122387364156196, 'n': 21, 'trace_an': 0}
-
id: 269453021
{'hecke_orbit_code': 153122387364156196, 'n': 22, 'trace_an': 0}
-
id: 269453022
{'hecke_orbit_code': 153122387364156196, 'n': 23, 'trace_an': 4}
-
id: 269453023
{'hecke_orbit_code': 153122387364156196, 'n': 24, 'trace_an': 0}
-
id: 269453024
{'hecke_orbit_code': 153122387364156196, 'n': 25, 'trace_an': 0}
-
id: 269453025
{'hecke_orbit_code': 153122387364156196, 'n': 26, 'trace_an': 0}
-
id: 269453026
{'hecke_orbit_code': 153122387364156196, 'n': 27, 'trace_an': 0}
-
id: 269453027
{'hecke_orbit_code': 153122387364156196, 'n': 28, 'trace_an': 0}
-
id: 269453028
{'hecke_orbit_code': 153122387364156196, 'n': 29, 'trace_an': -8}
-
id: 269453029
{'hecke_orbit_code': 153122387364156196, 'n': 30, 'trace_an': 0}
-
id: 269453030
{'hecke_orbit_code': 153122387364156196, 'n': 31, 'trace_an': 0}
-
id: 269453031
{'hecke_orbit_code': 153122387364156196, 'n': 32, 'trace_an': 0}
-
id: 269453032
{'hecke_orbit_code': 153122387364156196, 'n': 33, 'trace_an': 0}
-
id: 269453033
{'hecke_orbit_code': 153122387364156196, 'n': 34, 'trace_an': 0}
-
id: 269453034
{'hecke_orbit_code': 153122387364156196, 'n': 35, 'trace_an': 0}
-
id: 269453035
{'hecke_orbit_code': 153122387364156196, 'n': 36, 'trace_an': 0}
-
id: 269453036
{'hecke_orbit_code': 153122387364156196, 'n': 37, 'trace_an': 8}
-
id: 269453037
{'hecke_orbit_code': 153122387364156196, 'n': 38, 'trace_an': 0}
-
id: 269453038
{'hecke_orbit_code': 153122387364156196, 'n': 39, 'trace_an': -8}
-
id: 269453039
{'hecke_orbit_code': 153122387364156196, 'n': 40, 'trace_an': 0}
-
id: 269453040
{'hecke_orbit_code': 153122387364156196, 'n': 41, 'trace_an': 0}
-
id: 269453041
{'hecke_orbit_code': 153122387364156196, 'n': 42, 'trace_an': 0}
-
id: 269453042
{'hecke_orbit_code': 153122387364156196, 'n': 43, 'trace_an': 24}
-
id: 269453043
{'hecke_orbit_code': 153122387364156196, 'n': 44, 'trace_an': 0}
-
id: 269453044
{'hecke_orbit_code': 153122387364156196, 'n': 45, 'trace_an': 0}
-
id: 269453045
{'hecke_orbit_code': 153122387364156196, 'n': 46, 'trace_an': 0}
-
id: 269453046
{'hecke_orbit_code': 153122387364156196, 'n': 47, 'trace_an': 0}
-
id: 269453047
{'hecke_orbit_code': 153122387364156196, 'n': 48, 'trace_an': 0}
-
id: 269453048
{'hecke_orbit_code': 153122387364156196, 'n': 49, 'trace_an': 0}
-
id: 269453049
{'hecke_orbit_code': 153122387364156196, 'n': 50, 'trace_an': 0}
-
id: 269453050
{'hecke_orbit_code': 153122387364156196, 'n': 51, 'trace_an': 24}
-
id: 269453051
{'hecke_orbit_code': 153122387364156196, 'n': 52, 'trace_an': 0}
-
id: 269453052
{'hecke_orbit_code': 153122387364156196, 'n': 53, 'trace_an': 20}
-
id: 269453053
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