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{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [11, 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': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[5, [-4, 2, 1]], [13, [0, 1]], [17, [4, 6, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972561058, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3234.2.a.bb', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '3234.2.a.bb', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}+(-1-\\beta )q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.a', 'trace_display': [2, -2, -2, 0], 'trace_hash': 670262897598752193, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.968', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.602', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '66.547', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, 'traces': [2, 2, -2, 2, -2, -2, 0, 2, 2, -2, -2, -2, 0, 0, 2, 2, -6, 2, -2, -2, 0, -2, 4, -2, 2, 0, -2, 0, 0, 2, -10, 2, 2, -6, 0, 2, -4, -2, 0, -2, -6, 0, 4, -2, -2, 4, -6, -2, 0, 2, 6, 0, -12, -2, 2, 0, 2, 0, -12, 2, 0, -10, 0, 2, 0, 2, 4, -6, -4, 0, 4, 2, -18, -4, -2, -2, 0, 0, -4, -2, 2, -6, -2, 0, -4, 4, 0, -2, -4, -2, 0, 4, 10, -6, -28, -2, 0, 0, -2, 2, -24, 6, 26, 0, 0, -12, -16, -2, 12, 2, 4, 0, 0, 2, -24, 0, 0, -12, 0, 2, 2, 0, 6, -10, -12, 0, -4, 2, -4, 0, 18, 2, 0, 4, 2, -6, -24, -4, 2, 0, 6, 4, 0, 2, 20, -18, 0, -4, -12, -2, 0, -2, -6, 0, 20, 0, -34, -4, 12, -2, 0, 2, -24, -6, -2, -2, 28, 0, -26, -4, -2, 4, 12, 0, 0, -2, 12, -4, -20, -2, 10, 0, 0, 4, -36, 10, 6, -6, 0, -28, -12, -2, 28, 0, 0, 0, 0, -2, -6, 2, -4, -24, 0, 6, -4, 26, 4, 0, 2, 0, -20, -12, -4, -16, 16, -2, 0, 12, 18, 2, 0, 4, -18, 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'embedding_root_imag': 0.0, 'embedding_root_real': 1.618033988749895, 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972561058, 'label': '3234.2.a.bb.1.1', 'level': 3234, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [7, 1], [11, 1]], 6, 3], [[[2, -1], [3, 1], [7, 1], [11, 1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [11, -1]], 4, 3], [[[2, -1], [3, -1], [7, 1], [11, 1]], 2, 1], [[[2, -1], [3, 1], [7, -1], [11, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [11, -1]], 5, 4], [[[2, -1], [3, -1], [7, 1], [11, -1]], 7, 2], [[[2, -1], [3, -1], [7, -1], [11, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [11, -1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [11, 1]], 3, 2], [[[2, 1], [3, 1], [7, 1], [11, 1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [11, 1]], 4, 4], [[[2, -1], [3, 1], [7, 1], [11, -1]], 4, 1], [[[2, 1], [3, 1], [7, 1], [11, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [11, 1]], 2, 2]], 'ALdims': [5, 4, 4, 4, 6, 3, 2, 5, 5, 4, 3, 6, 2, 7, 7, 1], 'Nk2': 12936, 'analytic_conductor': 25.823620013682078, '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': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 641, 'dim': 68, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17], 'hecke_orbit_code': 33557666, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '3234.2.a', 'level': 3234, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 704, 'mf_new_dim': 68, 'num_forms': 39, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 1344, 'trace_bound': 17, 'trace_display': [2, -2, 4, 0], 'traces': [68, 2, -2, 68, 4, 0, 0, 2, 68, 4, 0, -2, 0, 0, 0, 68, 12, 2, -4, 4, 0, 2, -4, 0, 52, 16, -2, 0, -12, 0, -24, 2, -2, 0, 0, 68, 56, -4, 36, 4, 12, 0, 12, 0, 4, 0, 12, -2, 0, 62, -8, 0, 60, 0, 0, 0, 44, 64, -8, 0, 24, 16, 0, 68, 72, -4, 40, 12, -4, 0, 4, 2, 24, 68, -6, 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mf_twists_cc • Show schema
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id: 48636331
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597189972561058, 'source_is_minimal': True, 'source_label': '3234.2.a.bb.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972561058, 'target_is_minimal': True, 'target_label': '3234.2.a.bb.1.1', 'target_level': 3234, 'twist_class_label': '3234.2.a.bb.1.1', 'twist_class_level': 3234, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48636332
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597189972561058, 'source_is_minimal': True, 'source_label': '3234.2.a.bb.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 333266372458980838, 'target_is_minimal': False, 'target_label': '9702.2.a.cw.1.2', 'target_level': 9702, 'twist_class_label': '3234.2.a.bb.1.1', 'twist_class_level': 3234, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48636333
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597189972561058, 'source_is_minimal': True, 'source_label': '3234.2.a.bb.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854672546, 'target_is_minimal': True, 'target_label': '3234.2.a.be.1.2', 'target_level': 3234, 'twist_class_label': '3234.2.a.bb.1.1', 'twist_class_level': 3234, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48636334
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597189972561058, 'source_is_minimal': True, 'source_label': '3234.2.a.bb.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 279223176930534886, 'target_is_minimal': False, 'target_label': '9702.2.a.ck.1.1', 'target_level': 9702, 'twist_class_label': '3234.2.a.bb.1.1', 'twist_class_level': 3234, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3074600
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 121597189972561058, 'p': 2}
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id: 3074601
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 121597189972561058, 'p': 3}
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id: 3074602
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 5}
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id: 3074603
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597189972561058, 'p': 7}
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id: 3074604
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 121597189972561058, 'p': 11}
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id: 3074605
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597189972561058, 'p': 13}
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id: 3074606
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 17}
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id: 3074607
{'charpoly_factorization': [[[-44, 2, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 19}
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id: 3074608
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 23}
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id: 3074609
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 29}
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id: 3074610
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 31}
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id: 3074611
{'charpoly_factorization': [[[-76, 4, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 37}
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id: 3074612
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 41}
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id: 3074613
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 43}
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id: 3074614
{'charpoly_factorization': [[[-36, 6, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 47}
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id: 3074615
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 121597189972561058, 'p': 53}
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id: 3074616
{'charpoly_factorization': [[[16, 12, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 59}
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id: 3074617
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597189972561058, 'p': 61}
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id: 3074618
{'charpoly_factorization': [[[-176, -4, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 67}
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id: 3074619
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 71}
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id: 3074620
{'charpoly_factorization': [[[36, 18, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 73}
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id: 3074621
{'charpoly_factorization': [[[-176, 4, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 79}
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id: 3074622
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 83}
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id: 3074623
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 121597189972561058, 'p': 89}
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id: 3074624
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597189972561058, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '3234.2.a.bb', 'level': 3234, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 261725000
{'hecke_orbit_code': 121597189972561058, 'n': 1, 'trace_an': 2}
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id: 261725001
{'hecke_orbit_code': 121597189972561058, 'n': 2, 'trace_an': 2}
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id: 261725002
{'hecke_orbit_code': 121597189972561058, 'n': 3, 'trace_an': -2}
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