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{'Nk2': 4508, 'analytic_conductor': 8.9991403077983, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1], [23, -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': [1127, 1, [346, 442], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 1461091977, 'field_disc_factorization': [[3, 2], [103, 1], [1153, 1], [1367, 1]], 'field_poly': [-11, -24, 9, 29, -1, -10, 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': [[2, [11, -24, -9, 29, 1, -10, 0, 1]], [3, [-17, 10, 37, -12, -25, 0, 5, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307260519, 'hecke_ring_generator_nbound': 2, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1127.2.a.k', 'level': 1127, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 23], 'level_radical': 161, 'minimal_twist': '161.2.e.a', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(-1-\\beta _{4})q^{3}+(1+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1127.2.a', 'trace_display': [0, -5, -4, 0], 'trace_hash': 208584703297550237, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.5098178236077251, 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307260519, 'label': '1127.2.a.k.1.4', 'level': 1127, 'weight': 2}
-
mf_newspaces • Show schema
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{'ALdims': [13, 25, 23, 14], 'Nk2': 4508, 'analytic_conductor': 8.9991403077983, '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': [1127, 1, [346, 442], [1, 1]], 'conrey_index': 1, 'cusp_dim': 105, 'dim': 75, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33555559, 'hecke_orbit_dims': [1, 2, 2, 2, 2, 3, 4, 5, 6, 6, 7, 7, 7, 7, 14], 'label': '1127.2.a', 'level': 1127, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 23], 'level_radical': 161, 'mf_dim': 120, 'mf_new_dim': 75, 'num_forms': 15, 'plus_dim': 27, 'prim_orbit_index': 1, 'relative_dim': 75, 'sturm_bound': 224, 'trace_bound': 3, 'trace_display': [2, 0, 4, 0], 'traces': [75, 2, 0, 74, 4, 3, 0, 3, 77, 4, -2, 1, -4, 0, -14, 72, 4, 17, -4, 10, 0, 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mf_twists_cc • Show schema
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id: 47043049
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45035996307260519, 'source_is_minimal': False, 'source_label': '1127.2.a.k.1.4', 'source_level': 1127, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996307260519, 'target_is_minimal': False, 'target_label': '1127.2.a.k.1.4', 'target_level': 1127, 'twist_class_label': '161.2.e.a.93.4', 'twist_class_level': 161, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47043050
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45035996307260519, 'source_is_minimal': False, 'source_label': '1127.2.a.k.1.4', 'source_level': 1127, 'target_conrey_index': 93, 'target_dim': 14, 'target_embedding_index': 4, 'target_hecke_orbit_code': 274911461537, 'target_is_minimal': True, 'target_label': '161.2.e.a.93.4', 'target_level': 161, 'twist_class_label': '161.2.e.a.93.4', 'twist_class_level': 161, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47043051
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45035996307260519, 'source_is_minimal': False, 'source_label': '1127.2.a.k.1.4', 'source_level': 1127, 'target_conrey_index': 116, 'target_dim': 14, 'target_embedding_index': 4, 'target_hecke_orbit_code': 274911461537, 'target_is_minimal': True, 'target_label': '161.2.e.a.116.4', 'target_level': 161, 'twist_class_label': '161.2.e.a.93.4', 'twist_class_level': 161, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47043052
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45035996307260519, 'source_is_minimal': False, 'source_label': '1127.2.a.k.1.4', 'source_level': 1127, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58546795189372007, 'target_is_minimal': False, 'target_label': '1127.2.a.n.1.4', 'target_level': 1127, 'twist_class_label': '161.2.e.a.93.4', 'twist_class_level': 161, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1706000
{'charpoly_factorization': [[[11, -24, -9, 29, 1, -10, 0, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 2}
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id: 1706001
{'charpoly_factorization': [[[-17, 10, 37, -12, -25, 0, 5, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 3}
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id: 1706002
{'charpoly_factorization': [[[-11, 65, 125, -14, -58, -11, 4, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 5}
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id: 1706003
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 45035996307260519, 'p': 7}
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id: 1706004
{'charpoly_factorization': [[[-1487, 3159, -2036, 181, 212, -43, -4, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 11}
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id: 1706005
{'charpoly_factorization': [[[-1521, 2412, 114, -846, -167, 42, 14, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 13}
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id: 1706006
{'charpoly_factorization': [[[-323, -211, 429, 125, -102, -26, 4, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 17}
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id: 1706007
{'charpoly_factorization': [[[-2149, -1832, 1924, 260, -253, -23, 9, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 19}
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id: 1706008
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 45035996307260519, 'p': 23}
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id: 1706009
{'charpoly_factorization': [[[3717, -21348, 1860, 3912, -446, -128, 5, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 29}
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id: 1706010
{'charpoly_factorization': [[[-9, -81, 129, 159, -128, -10, 10, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 31}
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id: 1706011
{'charpoly_factorization': [[[-39481, -57467, 6282, 5841, -398, -140, 5, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 37}
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id: 1706012
{'charpoly_factorization': [[[11957, 5563, -7534, -3751, -156, 144, 23, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 41}
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id: 1706013
{'charpoly_factorization': [[[-531, 2826, -4314, 2358, -367, -55, 11, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 43}
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id: 1706014
{'charpoly_factorization': [[[-29813, 50069, 32259, 2804, -996, -149, 4, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 47}
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id: 1706015
{'charpoly_factorization': [[[-4573, -2016, 5153, 3211, -27, -122, -2, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 53}
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id: 1706016
{'charpoly_factorization': [[[2551, 83548, 69982, 12224, -1683, -249, 7, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 59}
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id: 1706017
{'charpoly_factorization': [[[-77969, 4929, 32477, 1727, -1534, -120, 12, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 61}
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id: 1706018
{'charpoly_factorization': [[[-1950239, -557077, 91535, 28027, -337, -305, -2, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 67}
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id: 1706019
{'charpoly_factorization': [[[-1877, 12473, -3760, -2663, 230, 217, 28, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 71}
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id: 1706020
{'charpoly_factorization': [[[-19683, 575910, 412236, 118228, 17500, 1412, 59, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 73}
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id: 1706021
{'charpoly_factorization': [[[-211, 28, 236, 11, -76, -16, 4, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 79}
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id: 1706022
{'charpoly_factorization': [[[-598427, -1784925, -138618, 46529, 2318, -382, -9, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 83}
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id: 1706023
{'charpoly_factorization': [[[-36871, -78069, -26140, 14740, 265, -250, 1, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 89}
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id: 1706024
{'charpoly_factorization': [[[12863891, 4174320, 128962, -76654, -7186, 134, 35, 1], 1]], 'hecke_orbit_code': 45035996307260519, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '1127.2.a.k', 'level': 1127, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 54132763
{'hecke_orbit_code': 45035996307260519, 'n': 1, 'trace_an': 7}
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id: 54132764
{'hecke_orbit_code': 45035996307260519, 'n': 2, 'trace_an': 0}
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id: 54132765
{'hecke_orbit_code': 45035996307260519, 'n': 3, 'trace_an': -5}
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id: 54132766
{'hecke_orbit_code': 45035996307260519, 'n': 4, 'trace_an': 6}
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id: 54132767
{'hecke_orbit_code': 45035996307260519, 'n': 5, 'trace_an': -4}
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id: 54132768
{'hecke_orbit_code': 45035996307260519, 'n': 6, 'trace_an': -6}
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id: 54132769
{'hecke_orbit_code': 45035996307260519, 'n': 7, 'trace_an': 0}
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id: 54132770
{'hecke_orbit_code': 45035996307260519, 'n': 8, 'trace_an': -3}
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id: 54132771
{'hecke_orbit_code': 45035996307260519, 'n': 9, 'trace_an': 4}
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id: 54132772
{'hecke_orbit_code': 45035996307260519, 'n': 10, 'trace_an': 2}
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id: 54132773
{'hecke_orbit_code': 45035996307260519, 'n': 11, 'trace_an': 4}
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