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mf_newforms • Show schema
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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1850, 2, [1777, 1001], [1, 2]], 'cm_discs': [], 'conrey_index': 149, 'conrey_indexes': [149], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [25, 0, 14, 0, 1]], [7, [6, 0, 1]], [13, [4, 0, 20, 0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036065026737978, 'hecke_ring_generator_nbound': 3, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1850.2.b.k', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '1850.2.a.r', 'nf_label': '4.0.2304.2', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2})q^{3}-q^{4}+(1+\\beta _{3})q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1850.2.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1138612896971982572, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.672', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.113', 'prec': 17}, {'__RealLiteral__': 0, 'data': '66.565', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.525', 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mf_hecke_nf • Show schema
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9], [0, -40, 6, 0], [0, -24, 22, 0], [-36, 0, 0, 16], [40, 0, 0, -6], [-42, 0, 0, 12], [0, -14, 2, 0], [0, 31, -4, 0], [9, 0, 0, -5], [0, -20, -12, 0], [26, 0, 0, -5], [-32, 0, 0, -11], [0, 36, -5, 0], [36, 0, 0, 12], [0, -17, 7, 0], [0, -1, -13, 0], [0, -6, 24, 0], [-26, 0, 0, -13]], 'char_orbit_index': 2, 'field_poly': [9, 0, 0, 0, 1], 'hecke_orbit_code': 45036065026737978, 'hecke_ring_character_values': [[1777, [-1, 0, 0, 0]], [1001, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_denominators': [1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 3, 0, 0], [0, 0, 3, -3]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 3, 0, 1], [0, 3, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1850.2.b.k', 'level': 1850, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1850, 2, [1777, 1001], [1, 2]], 'conrey_index': 149, 'cusp_dim': 274, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 68753033018, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6], 'label': '1850.2.b', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 298, 'mf_new_dim': 54, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 570, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, -54, 0, 4, 0, 0, -78, 0, 8, 0, 0, 0, 0, 54, 0, 0, 20, 0, 8, 0, 0, -4, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 78, 0, 0, 24, 0, 8, 0, 0, -8, 0, 24, 0, 0, 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472, 0, 0, -132, 0, 8, 0, 0, -424, 0, 108, 0, 0, 0, 0, -160, 0, 0, 8, 0, 492, 0, 0, -336, 0, 6, 0, 0, 216, 0, 128, 0, 0, -24, 0, 216, 0, 0, -244, 0, -72, 0, 0, -384, 0, 44, 0, 0, -1184, 0, -112, 0, 0, -36, 0, 248, 0, 0, -44, 0, -128, 0, 0, -320, 0, -104, 0, 0, 424, 0, -88, 0, 0, 8, 0, 276, 0, 0, 760, 0, -120, 0, 0, -412, 0, -200, 0, 0, 352, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 826469
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1850.2.b.k', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '1850.2.a.r', 'target_level': 1850, 'twist_class_label': '1850.2.a.r', 'twist_class_level': 1850, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826470
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1850.2.b.k', 'source_level': 1850, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': True, 'target_label': '1850.2.a.w', 'target_level': 1850, 'twist_class_label': '1850.2.a.r', 'twist_class_level': 1850, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 826471
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1850.2.b.k', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1850.2.b.k', 'target_level': 1850, 'twist_class_label': '1850.2.a.r', 'twist_class_level': 1850, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 826472
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1850.2.b.k', 'source_level': 1850, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1850.2.b.k', 'target_level': 1850, 'twist_class_label': '1850.2.a.r', 'twist_class_level': 1850, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2253025
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 2}
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id: 2253026
{'charpoly_factorization': [[[25, 0, 14, 0, 1], 1]], 'hecke_orbit_code': 45036065026737978, 'p': 3}
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id: 2253027
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036065026737978, 'p': 5}
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id: 2253028
{'charpoly_factorization': [[[6, 0, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 7}
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id: 2253029
{'charpoly_factorization': [[[-5, -2, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 11}
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id: 2253030
{'charpoly_factorization': [[[4, 0, 20, 0, 1], 1]], 'hecke_orbit_code': 45036065026737978, 'p': 13}
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id: 2253031
{'charpoly_factorization': [[[25, 0, 14, 0, 1], 1]], 'hecke_orbit_code': 45036065026737978, 'p': 17}
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id: 2253032
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 45036065026737978, 'p': 19}
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id: 2253033
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 23}
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id: 2253034
{'charpoly_factorization': [[[-8, 8, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 29}
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id: 2253035
{'charpoly_factorization': [[[-2, -4, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 31}
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id: 2253036
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 37}
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id: 2253037
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 45036065026737978, 'p': 41}
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id: 2253038
{'charpoly_factorization': [[[144, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 45036065026737978, 'p': 43}
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id: 2253039
{'charpoly_factorization': [[[96, 0, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 47}
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id: 2253040
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 53}
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id: 2253041
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 45036065026737978, 'p': 59}
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id: 2253042
{'charpoly_factorization': [[[10, 8, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 61}
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id: 2253043
{'charpoly_factorization': [[[1849, 0, 110, 0, 1], 1]], 'hecke_orbit_code': 45036065026737978, 'p': 67}
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id: 2253044
{'charpoly_factorization': [[[94, 20, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 71}
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id: 2253045
{'charpoly_factorization': [[[7569, 0, 210, 0, 1], 1]], 'hecke_orbit_code': 45036065026737978, 'p': 73}
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id: 2253046
{'charpoly_factorization': [[[-92, -4, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 79}
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id: 2253047
{'charpoly_factorization': [[[25, 0, 14, 0, 1], 1]], 'hecke_orbit_code': 45036065026737978, 'p': 83}
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id: 2253048
{'charpoly_factorization': [[[-5, 14, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 89}
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id: 2253049
{'charpoly_factorization': [[[196, 0, 1], 2]], 'hecke_orbit_code': 45036065026737978, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 11, 'label': '1850.2.b.k', 'level': 1850, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 214662000
{'hecke_orbit_code': 45036065026737978, 'n': 1, 'trace_an': 4}
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id: 214662001
{'hecke_orbit_code': 45036065026737978, 'n': 2, 'trace_an': 0}
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id: 214662002
{'hecke_orbit_code': 45036065026737978, 'n': 3, 'trace_an': 0}
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id: 214662003
{'hecke_orbit_code': 45036065026737978, 'n': 4, 'trace_an': -4}
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id: 214662004
{'hecke_orbit_code': 45036065026737978, 'n': 5, 'trace_an': 0}
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id: 214662005
{'hecke_orbit_code': 45036065026737978, 'n': 6, 'trace_an': 4}
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id: 214662006
{'hecke_orbit_code': 45036065026737978, 'n': 7, 'trace_an': 0}
-
id: 214662007
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