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{'Nk2': 16456, 'analytic_conductor': 32.85045539155475, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, -1], [17, -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': [4114, 1, [3027, 2179], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, -1, 1]], [5, [-1, 1, 1]], [7, [-11, 1, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425152018, 'hecke_ring_generator_nbound': 3, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4114.2.a.h', 'level': 4114, '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': [2, 11, 17], 'level_radical': 374, 'minimal_twist': '4114.2.a.h', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+\\beta q^{3}+q^{4}-\\beta q^{5}-\\beta q^{6}+(-2+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4114.2.a', 'trace_display': [-2, 1, -1, -1], 'trace_hash': 1839454956182491202, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.949', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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-
mf_newspaces • Show schema
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{'ALdims': [17, 19, 18, 18, 23, 13, 13, 23], 'Nk2': 16456, 'analytic_conductor': 32.85045539155475, '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': [4114, 1, [3027, 2179], [1, 1]], 'conrey_index': 1, 'cusp_dim': 571, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33558546, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 8, 8, 8, 8, 10, 10], 'label': '4114.2.a', 'level': 4114, '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': [2, 11, 17], 'level_radical': 374, 'mf_dim': 618, 'mf_new_dim': 144, 'num_forms': 38, 'plus_dim': 61, 'prim_orbit_index': 1, 'relative_dim': 144, 'sturm_bound': 1188, 'trace_bound': 7, 'trace_display': [0, 2, 2, -4], 'traces': [144, 0, 2, 144, 2, -2, -4, 0, 140, 6, 0, 2, -4, -4, 8, 144, 2, -4, -8, 2, -16, 0, -8, -2, 148, 12, 20, -4, 6, 0, 4, 0, 0, -2, 24, 140, 6, 8, 4, 6, 12, 24, -28, 0, 58, -8, 40, 2, 120, 12, 2, -4, 28, 4, 0, -4, 32, 26, 28, 8, -38, 20, 36, 144, 36, 0, -20, 2, 64, 16, 48, -4, 8, 34, 86, -8, 0, 36, -40, 2, 180, 12, 28, -16, 6, 4, 72, 0, 72, 78, -136, -8, -64, 0, 48, -2, -132, 8, 0, 148, -4, -2, -136, 12, 40, 36, -22, 20, -10, 0, -120, -4, 64, -8, 16, 6, 20, -4, 4, 0, 0, -10, 28, 4, 12, -36, -32, 0, 0, -4, -30, 0, -176, -28, 56, -2, 20, 16, -30, 24, 40, -40, 0, 140, 12, -8, -142, 6, 0, -62, -40, 8, -2, 0, -8, 4, 0, -32, 28, 6, -40, -44, -90, 12, 0, 4, 4, 24, 128, -6, -88, -28, 30, 8, -60, 0, -24, 8, -8, 58, -186, -16, -8, -8, -20, 40, 0, 40, 40, -8, 72, 2, -4, -12, -64, 120, -70, 0, 0, 12, -88, 4, 64, 2, -36, -16, 24, -4, 0, 48, -74, 28, 40, -2, -8, 4, -48, 66, 68, 0, -16, -48, -48, -4, 160, -56, -14, 32, 56, 16, 0, 26, 56, 84, 0, 28, 8, 4, -96, 8, 28, 0, 142, -38, 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32, 0, 104, 32, 56, -112, 28, -136, 16, 144, -372, -160, 0, 18, 40, -400, 26, -356, -176, -16, 56, -424, -64, 0, 84, 92, 96, 44, 0, 26, -60, -8, 28, -136, 0, 174, 8, -536, 240, -168, 4, 136, 124, 104, -96, 0, 56, -48, 8, 168, -12, -230, 28, 204, -304, -128, 0, -48, 20, 228, 142, -520, -128, -108, -38, -32, -12, 0, 154, -210, -328, -256, -60, 52, 14, -64, -112, 32, 0, 208, 20, 120, -56, 240, 72, 90, -34, -424, 84], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46074102
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425152018, 'source_is_minimal': True, 'source_label': '4114.2.a.h.1.1', 'source_level': 4114, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425152018, 'target_is_minimal': True, 'target_label': '4114.2.a.h.1.1', 'target_level': 4114, 'twist_class_label': '4114.2.a.h.1.1', 'twist_class_level': 4114, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46074103
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425152018, 'source_is_minimal': True, 'source_label': '4114.2.a.h.1.1', 'source_level': 4114, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562004498, 'target_is_minimal': True, 'target_label': '4114.2.a.m.1.1', 'target_level': 4114, 'twist_class_label': '4114.2.a.h.1.1', 'twist_class_level': 4114, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3502925
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 31525197425152018, 'p': 2}
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id: 3502926
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 3}
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id: 3502927
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 5}
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id: 3502928
{'charpoly_factorization': [[[-11, 1, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 7}
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id: 3502929
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525197425152018, 'p': 11}
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id: 3502930
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 13}
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id: 3502931
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 31525197425152018, 'p': 17}
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id: 3502932
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 19}
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id: 3502933
{'charpoly_factorization': [[[11, 8, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 23}
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id: 3502934
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 29}
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id: 3502935
{'charpoly_factorization': [[[-11, 6, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 31}
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id: 3502936
{'charpoly_factorization': [[[-11, -6, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 37}
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id: 3502937
{'charpoly_factorization': [[[-36, -6, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 41}
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id: 3502938
{'charpoly_factorization': [[[29, -11, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 43}
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id: 3502939
{'charpoly_factorization': [[[-59, 3, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 47}
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id: 3502940
{'charpoly_factorization': [[[29, 11, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 53}
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id: 3502941
{'charpoly_factorization': [[[95, 20, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 59}
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id: 3502942
{'charpoly_factorization': [[[-55, 10, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 61}
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id: 3502943
{'charpoly_factorization': [[[25, -15, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 67}
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id: 3502944
{'charpoly_factorization': [[[-71, 11, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 71}
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id: 3502945
{'charpoly_factorization': [[[41, -13, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 73}
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id: 3502946
{'charpoly_factorization': [[[59, 16, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 79}
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id: 3502947
{'charpoly_factorization': [[[-11, 9, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 83}
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id: 3502948
{'charpoly_factorization': [[[-179, -2, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 89}
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id: 3502949
{'charpoly_factorization': [[[-19, -2, 1], 1]], 'hecke_orbit_code': 31525197425152018, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '4114.2.a.h', 'level': 4114, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 48297061
{'hecke_orbit_code': 31525197425152018, 'n': 1, 'trace_an': 2}
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id: 48297062
{'hecke_orbit_code': 31525197425152018, 'n': 2, 'trace_an': -2}
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id: 48297063
{'hecke_orbit_code': 31525197425152018, 'n': 3, 'trace_an': 1}
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id: 48297064
{'hecke_orbit_code': 31525197425152018, 'n': 4, 'trace_an': 2}
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id: 48297065
{'hecke_orbit_code': 31525197425152018, 'n': 5, 'trace_an': -1}
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id: 48297066
{'hecke_orbit_code': 31525197425152018, 'n': 6, 'trace_an': -1}
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id: 48297067
{'hecke_orbit_code': 31525197425152018, 'n': 7, 'trace_an': -1}
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id: 48297068
{'hecke_orbit_code': 31525197425152018, 'n': 8, 'trace_an': -2}
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id: 48297069
{'hecke_orbit_code': 31525197425152018, 'n': 9, 'trace_an': -3}
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id: 48297070
{'hecke_orbit_code': 31525197425152018, 'n': 10, 'trace_an': 1}
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