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{'Nk2': 11172, 'analytic_conductor': 22.302217284543612, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, -1], [19, 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': [2793, 1, [932, 2110, 2206], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 1240016, 'field_disc_factorization': [[2, 4], [19, 1], [4079, 1]], 'field_poly': [6, 16, 2, -8, -1, 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, [-3, 13, 6, -8, -1, 1]], [5, [48, 68, 8, -16, -2, 1]], [11, [-192, 256, -16, -32, 2, 1]], [13, [256, 32, -112, -8, 8, 1]], [17, [-3168, 1108, 176, -72, -2, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854672105, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': False, 'label': '2793.2.a.be', 'level': 2793, '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': [3, 7, 19], 'level_radical': 399, 'minimal_twist': '399.2.a.f', 'nf_label': '5.5.1240016.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{3}q^{2}-q^{3}+(1+\\beta _{4})q^{4}-\\beta _{2}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2793.2.a', 'trace_display': [1, -5, 2, 0], 'trace_hash': 1398393629307824630, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.099', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.601', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.811', 'prec': 17}, {'__RealLiteral__': 0, 'data': '59.246', 'prec': 20}, {'__RealLiteral__': 0, 'data': '39.794', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1177.041', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [5, 1, -5, 7, 2, -1, 0, 3, 5, 0, -2, -7, -8, 0, -2, 3, 2, 1, -5, 2, 0, 2, 2, -3, 11, 32, -5, 0, 0, 0, -8, -3, 2, 8, 0, 7, 2, -1, 8, 36, -2, 0, 20, 6, 2, -2, 26, -3, 0, -1, -2, -4, 4, -1, 4, 0, 5, -2, 4, -2, -10, -4, 0, -21, -4, -2, 10, 58, -2, 0, 10, 3, -10, -6, -11, -7, 0, -32, 14, 6, 5, 26, 34, 0, -36, 8, 0, 6, -10, 0, 0, -6, 8, 8, -2, 3, 16, 0, -2, 5, -6, -8, 8, 28, 0, -62, 10, -7, 2, 76, -2, 0, -8, 1, -4, -8, -8, -4, 0, -36, 13, -10, 2, -20, 60, 0, 2, -5, -20, 12, 34, -6, 0, 30, -2, -28, 14, 2, 20, 0, -26, 40, 8, 3, -40, -62, 0, -50, 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'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.7730376417717553, 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854672105, 'label': '2793.2.a.be.1.4', 'level': 2793, 'weight': 2}
-
mf_newspaces • Show schema
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{'ALdims': [14, 14, 15, 18, 18, 10, 12, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [28, 31, 32, 25, 30, 34, 30, 25], 'Nk2': 11172, 'analytic_conductor': 22.302217284543612, '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': [2793, 1, [932, 2110, 2206], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 357, 'dim': 122, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 11, 13, 17], 'hecke_orbit_code': 33557225, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8], 'label': '2793.2.a', 'level': 2793, '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': [3, 7, 19], 'level_radical': 399, 'mf_dim': 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mf_twists_cc • Show schema
Hide schema
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id: 48724343
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988854672105, 'source_is_minimal': False, 'source_label': '2793.2.a.be.1.4', 'source_level': 2793, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 135107988854672105, 'target_is_minimal': False, 'target_label': '2793.2.a.be.1.4', 'target_level': 2793, 'twist_class_label': '399.2.a.f.1.4', 'twist_class_level': 399, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48724344
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988854672105, 'source_is_minimal': False, 'source_label': '2793.2.a.be.1.4', 'source_level': 2793, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 252201579166310587, 'target_is_minimal': False, 'target_label': '8379.2.a.ce.1.2', 'target_level': 8379, 'twist_class_label': '399.2.a.f.1.4', 'twist_class_level': 399, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48724345
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988854672105, 'source_is_minimal': False, 'source_label': '2793.2.a.be.1.4', 'source_level': 2793, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22517998170407311, 'target_is_minimal': True, 'target_label': '399.2.a.f.1.4', 'target_level': 399, 'twist_class_label': '399.2.a.f.1.4', 'twist_class_level': 399, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48724346
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988854672105, 'source_is_minimal': False, 'source_label': '2793.2.a.be.1.4', 'source_level': 2793, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444113069, 'target_is_minimal': False, 'target_label': '1197.2.a.p.1.2', 'target_level': 1197, 'twist_class_label': '399.2.a.f.1.4', 'twist_class_level': 399, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48724347
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988854672105, 'source_is_minimal': False, 'source_label': '2793.2.a.be.1.4', 'source_level': 2793, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 243194379911567600, 'target_is_minimal': False, 'target_label': '6384.2.a.cc.1.5', 'target_level': 6384, 'twist_class_label': '399.2.a.f.1.4', 'twist_class_level': 399, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48724348
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988854672105, 'source_is_minimal': False, 'source_label': '2793.2.a.be.1.4', 'source_level': 2793, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383125239, 'target_is_minimal': False, 'target_label': '9975.2.a.bq.1.2', 'target_level': 9975, 'twist_class_label': '399.2.a.f.1.4', 'twist_class_level': 399, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 48724349
{'conductor': 133, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 135107988854672105, 'source_is_minimal': False, 'source_label': '2793.2.a.be.1.4', 'source_level': 2793, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463083421, 'target_is_minimal': False, 'target_label': '7581.2.a.x.1.2', 'target_level': 7581, 'twist_class_label': '399.2.a.f.1.4', 'twist_class_level': 399, 'twisting_char_label': '133.132', 'twisting_conrey_index': 132, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2854000
{'charpoly_factorization': [[[-3, 13, 6, -8, -1, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 2}
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id: 2854001
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 135107988854672105, 'p': 3}
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id: 2854002
{'charpoly_factorization': [[[48, 68, 8, -16, -2, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 5}
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id: 2854003
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 135107988854672105, 'p': 7}
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id: 2854004
{'charpoly_factorization': [[[-192, 256, -16, -32, 2, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 11}
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id: 2854005
{'charpoly_factorization': [[[256, 32, -112, -8, 8, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 13}
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id: 2854006
{'charpoly_factorization': [[[-3168, 1108, 176, -72, -2, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 17}
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id: 2854007
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 135107988854672105, 'p': 19}
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id: 2854008
{'charpoly_factorization': [[[192, 256, 16, -32, -2, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 23}
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id: 2854009
{'charpoly_factorization': [[[24, 28, -80, -56, 0, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 29}
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id: 2854010
{'charpoly_factorization': [[[512, -48, -144, -8, 8, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 31}
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id: 2854011
{'charpoly_factorization': [[[608, 2128, 176, -120, -2, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 37}
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id: 2854012
{'charpoly_factorization': [[[-96, 176, 96, -72, 2, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 41}
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id: 2854013
{'charpoly_factorization': [[[13184, -8272, 1376, 32, -20, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 43}
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id: 2854014
{'charpoly_factorization': [[[3648, -836, -592, 224, -26, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 47}
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id: 2854015
{'charpoly_factorization': [[[20376, 8812, 248, -192, -4, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 53}
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id: 2854016
{'charpoly_factorization': [[[6144, 4096, 128, -128, -4, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 59}
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id: 2854017
{'charpoly_factorization': [[[3872, -304, -944, -88, 10, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 61}
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id: 2854018
{'charpoly_factorization': [[[-40064, 3520, 1408, -136, -10, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 67}
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id: 2854019
{'charpoly_factorization': [[[-3888, -236, 896, -84, -10, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 71}
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id: 2854020
{'charpoly_factorization': [[[32, -5232, -1744, -120, 10, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 73}
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id: 2854021
{'charpoly_factorization': [[[-4864, 1024, 512, -72, -14, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 79}
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id: 2854022
{'charpoly_factorization': [[[159888, -45476, 2872, 248, -34, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 83}
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id: 2854023
{'charpoly_factorization': [[[114336, 24176, -2304, -312, 10, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 89}
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id: 2854024
{'charpoly_factorization': [[[-194816, 19536, 4544, -312, -16, 1], 1]], 'hecke_orbit_code': 135107988854672105, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '2793.2.a.be', 'level': 2793, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68478853
{'hecke_orbit_code': 135107988854672105, 'n': 1, 'trace_an': 5}
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id: 68478854
{'hecke_orbit_code': 135107988854672105, 'n': 2, 'trace_an': 1}
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id: 68478855
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