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{'Nk2': 11368, 'analytic_conductor': 22.693484254447885, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -1], [29, 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': [2842, 1, [1277, 785], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 1019601, 'field_disc_factorization': [[3, 3], [11, 1], [3433, 1]], 'field_poly': [7, 24, -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': [[3, [7, 6, -19, -7, 3, 1]], [5, [-9, -47, -35, 6, 7, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463078682, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2842.2.a.x', 'level': 2842, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 29], 'level_radical': 406, 'minimal_twist': '406.2.e.a', 'nf_label': '5.5.1019601.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(-1-\\beta _{3})q^{3}+q^{4}+(-1-\\beta _{1}+\\cdots)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': '2842.2.a', 'trace_display': [5, -3, -7, 0], 'trace_hash': 2104346948656402274, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.663', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.865', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1094.623', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [5, 5, -3, 5, -7, -3, 0, 5, 8, -7, 0, -3, -10, 0, -10, 5, -8, 8, -2, -7, 0, 0, 1, -3, 12, -10, -15, 0, -5, -10, -11, 5, -9, -8, 0, 8, -8, -2, 18, -7, -23, 0, -3, 0, -4, 1, -16, -3, 0, 12, 7, -10, 7, -15, -6, 0, -34, -5, 9, -10, -15, -11, 0, 5, 5, -9, -4, -8, -14, 0, -22, 8, 0, -8, 34, -2, 0, 18, -13, -7, 17, -23, -28, 0, -7, -3, 3, 0, -17, -4, 0, 1, 17, -16, -9, -3, -42, 0, -42, 12, -16, 7, 23, -10, 0, 7, -8, -15, 16, -6, -6, 0, -18, -34, 29, -5, -7, 9, 0, -10, 11, -15, 7, -11, -42, 0, -14, 5, 5, 5, 39, -9, 0, -4, 8, -8, 30, -14, 9, 0, -40, -22, -24, 8, 7, 0, 0, -8, -3, 34, 19, -2, -29, 0, 0, 18, -23, -13, 7, -7, 0, 17, -28, -23, 63, -28, -34, 0, -21, -7, 40, -3, -33, 3, 0, 0, -57, -17, -13, -4, -18, 0, -29, 1, 10, 17, 30, -16, 0, -9, 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [7, -1], [29, -1]], 16, 4], [[[2, 1], [7, -1], [29, 1]], 10, 5], [[[2, -1], [7, 1], [29, -1]], 7, 2], [[[2, 1], [7, -1], [29, -1]], 13, 4], [[[2, 1], [7, 1], [29, -1]], 11, 3], [[[2, -1], [7, -1], [29, 1]], 10, 4], [[[2, 1], [7, 1], [29, 1]], 15, 3], [[[2, -1], [7, 1], [29, 1]], 15, 4]], 'ALdims': [15, 11, 10, 13, 15, 7, 10, 16], 'Nk2': 11368, 'analytic_conductor': 22.693484254447885, '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': [2842, 1, [1277, 785], [1, 1]], 'conrey_index': 1, 'cusp_dim': 405, 'dim': 97, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33557274, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6], 'label': '2842.2.a', 'level': 2842, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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mf_twists_cc • Show schema
Hide schema
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id: 48481818
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 103582791463078682, 'source_is_minimal': False, 'source_label': '2842.2.a.x.1.5', 'source_level': 2842, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 103582791463078682, 'target_is_minimal': False, 'target_label': '2842.2.a.x.1.5', 'target_level': 2842, 'twist_class_label': '406.2.e.a.233.5', 'twist_class_level': 406, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48481819
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 103582791463078682, 'source_is_minimal': False, 'source_label': '2842.2.a.x.1.5', 'source_level': 2842, 'target_conrey_index': 233, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 274911461782, 'target_is_minimal': True, 'target_label': '406.2.e.a.233.5', 'target_level': 406, 'twist_class_label': '406.2.e.a.233.5', 'twist_class_level': 406, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48481820
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 103582791463078682, 'source_is_minimal': False, 'source_label': '2842.2.a.x.1.5', 'source_level': 2842, 'target_conrey_index': 291, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 274911461782, 'target_is_minimal': True, 'target_label': '406.2.e.a.291.5', 'target_level': 406, 'twist_class_label': '406.2.e.a.233.5', 'twist_class_level': 406, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48481821
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 103582791463078682, 'source_is_minimal': False, 'source_label': '2842.2.a.x.1.5', 'source_level': 2842, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717819674, 'target_is_minimal': False, 'target_label': '2842.2.a.z.1.1', 'target_level': 2842, 'twist_class_label': '406.2.e.a.233.5', 'twist_class_level': 406, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2875950
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 103582791463078682, 'p': 2}
-
id: 2875951
{'charpoly_factorization': [[[7, 6, -19, -7, 3, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 3}
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id: 2875952
{'charpoly_factorization': [[[-9, -47, -35, 6, 7, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 5}
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id: 2875953
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 103582791463078682, 'p': 7}
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id: 2875954
{'charpoly_factorization': [[[9, -12, -54, -33, 0, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 11}
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id: 2875955
{'charpoly_factorization': [[[-103, -118, -7, 28, 10, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 13}
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id: 2875956
{'charpoly_factorization': [[[-3, -20, -22, 9, 8, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 17}
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id: 2875957
{'charpoly_factorization': [[[1623, 738, -138, -63, 2, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 19}
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id: 2875958
{'charpoly_factorization': [[[33, -44, -97, -39, -1, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 23}
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id: 2875959
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 103582791463078682, 'p': 29}
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id: 2875960
{'charpoly_factorization': [[[-387, 693, -291, -24, 11, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 31}
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id: 2875961
{'charpoly_factorization': [[[349, -262, -422, -47, 8, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 37}
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id: 2875962
{'charpoly_factorization': [[[-7113, -3857, -295, 132, 23, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 41}
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id: 2875963
{'charpoly_factorization': [[[16843, 5622, -379, -163, 3, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 43}
-
id: 2875964
{'charpoly_factorization': [[[-63, -1202, -584, 9, 16, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 47}
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id: 2875965
{'charpoly_factorization': [[[183, 160, -49, -57, -7, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 53}
-
id: 2875966
{'charpoly_factorization': [[[-657, 762, 291, -39, -9, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 59}
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id: 2875967
{'charpoly_factorization': [[[5327, -183, -638, -10, 15, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 61}
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id: 2875968
{'charpoly_factorization': [[[11481, 4362, -705, -174, 4, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 67}
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id: 2875969
{'charpoly_factorization': [[[18189, -2372, -1142, 51, 22, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 71}
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id: 2875970
{'charpoly_factorization': [[[341, 8646, 226, -247, 0, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 73}
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id: 2875971
{'charpoly_factorization': [[[1563, 66, -381, -33, 13, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 79}
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id: 2875972
{'charpoly_factorization': [[[-25851, -9179, -323, 213, 28, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 83}
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id: 2875973
{'charpoly_factorization': [[[162771, 5743, -3736, -195, 17, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 89}
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id: 2875974
{'charpoly_factorization': [[[-15007, -3108, 1810, 539, 42, 1], 1]], 'hecke_orbit_code': 103582791463078682, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '2842.2.a.x', 'level': 2842, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255264000
{'hecke_orbit_code': 103582791463078682, 'n': 1, 'trace_an': 5}
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id: 255264001
{'hecke_orbit_code': 103582791463078682, 'n': 2, 'trace_an': 5}
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id: 255264002
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