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{'Nk2': 38304, 'analytic_conductor': 76.4647449755781, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-8, 0, 1]], [11, [-2, 1]], [13, [-4, -4, 1]], [17, [-4, 1]]], 'hecke_orbit': 41, 'hecke_orbit_code': 180143985128383848, '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': '9576.2.a.bo', 'level': 9576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '9576.2.a.bl', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{5}+q^{7}+2q^{11}+(2+\\beta )q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9576.2.a', 'trace_display': [0, 0, 0, 2], 'trace_hash': 1794747901887541663, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.870', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.833', 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [19, 1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [19, 1]], 12, 5], [[[2, -1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [19, -1]], 12, 4], [[[2, -1], [3, -1], [7, 1], [19, -1]], 11, 6], [[[2, 1], [3, -1], [7, 1], [19, -1]], 9, 5], [[[2, -1], [3, -1], [7, 1], [19, 1]], 9, 4], [[[2, -1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, 1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, -1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, -1], [3, -1], [7, -1], [19, 1]], 11, 5]], 'Nk2': 38304, 'analytic_conductor': 76.4647449755781, '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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 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-192, 0, 392, 0, 0, 0, -48, 0, 696, 0, 0, 0, 8, 0, -356, 0, 0, 0, -80, 0, -136, 0, 0, 0, -120, 0, 80, 0, 0, 0, -16, 0, -456, 0, 0, 0, -312, 0, 24, 0, 0, 0, 300, 0, 96, 0, 0, 0, 88, 0, 436, 0, 0, 0, -68, 0, 80, 0, 0, 0, -344, 0, -24, 0, 0, 0, 96, 0, -36, 0, 0, 0, 736, 0, -264, 0, 0, 0, -84, 0, -32, 0, 0, 0, 1040, 0, -292, 0, 0, 0, -400, 0, 128, 0, 0, 0, 64, 0, 294, 0, 0, 0, -36, 0, 328, 0, 0, 0, -208, 0, -316, 0, 0, 0, 48, 0, 208, 0, 0, 0, 16, 0, -80, 0, 0, 0, -144, 0, -168, 0, 0, 0, -176, 0, 212, 0, 0, 0, -52, 0, -732, 0, 0, 0, -440, 0, -444, 0, 0, 0, 8, 0, -232, 0, 0, 0, -72, 0, -16, 0, 0, 0, -352, 0, -96, 0, 0, 0, 488, 0, -36, 0, 0, 0, -524, 0, 168, 0, 0, 0, -232, 0, 136, 0, 0, 0, -264, 0, -32, 0, 0, 0, 168, 0, 416, 0, 0, 0, -268, 0, -256, 0, 0, 0, -144, 0, -32, 0, 0, 0, 156, 0, -240, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1438010
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': True, 'source_label': '9576.2.a.bo', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': True, 'target_label': '9576.2.a.bl', 'target_level': 9576, 'twist_class_label': '9576.2.a.bl', 'twist_class_level': 9576, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1438011
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': True, 'source_label': '9576.2.a.bo', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': True, 'target_label': '9576.2.a.bo', 'target_level': 9576, 'twist_class_label': '9576.2.a.bl', 'twist_class_level': 9576, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5065650
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 2}
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id: 5065651
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 3}
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id: 5065652
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 5}
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id: 5065653
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 7}
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id: 5065654
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 11}
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id: 5065655
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 13}
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id: 5065656
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 17}
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id: 5065657
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 19}
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id: 5065658
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 23}
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id: 5065659
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 29}
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id: 5065660
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 31}
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id: 5065661
{'charpoly_factorization': [[[28, 12, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 37}
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id: 5065662
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 41}
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id: 5065663
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 43}
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id: 5065664
{'charpoly_factorization': [[[-68, -4, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 47}
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id: 5065665
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 53}
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id: 5065666
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 59}
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id: 5065667
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 61}
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id: 5065668
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 67}
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id: 5065669
{'charpoly_factorization': [[[32, -16, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 71}
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id: 5065670
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 180143985128383848, 'p': 73}
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id: 5065671
{'charpoly_factorization': [[[136, -24, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 79}
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id: 5065672
{'charpoly_factorization': [[[68, 20, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 83}
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id: 5065673
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 89}
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id: 5065674
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 180143985128383848, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 41, 'label': '9576.2.a.bo', 'level': 9576, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273845000
{'hecke_orbit_code': 180143985128383848, 'n': 1, 'trace_an': 2}
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id: 273845001
{'hecke_orbit_code': 180143985128383848, 'n': 2, 'trace_an': 0}
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id: 273845002
{'hecke_orbit_code': 180143985128383848, 'n': 3, 'trace_an': 0}
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id: 273845003
{'hecke_orbit_code': 180143985128383848, 'n': 4, 'trace_an': 0}
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id: 273845004
{'hecke_orbit_code': 180143985128383848, 'n': 5, 'trace_an': 0}
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id: 273845005
{'hecke_orbit_code': 180143985128383848, 'n': 6, 'trace_an': 0}
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id: 273845006
{'hecke_orbit_code': 180143985128383848, 'n': 7, 'trace_an': 2}
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id: 273845007
{'hecke_orbit_code': 180143985128383848, 'n': 8, 'trace_an': 0}
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id: 273845008
{'hecke_orbit_code': 180143985128383848, 'n': 9, 'trace_an': 0}
-
id: 273845009
{'hecke_orbit_code': 180143985128383848, 'n': 10, 'trace_an': 0}
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id: 273845010
{'hecke_orbit_code': 180143985128383848, 'n': 11, 'trace_an': 4}
-
id: 273845011
{'hecke_orbit_code': 180143985128383848, 'n': 12, 'trace_an': 0}
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id: 273845012
{'hecke_orbit_code': 180143985128383848, 'n': 13, 'trace_an': 4}
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id: 273845013
{'hecke_orbit_code': 180143985128383848, 'n': 14, 'trace_an': 0}
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id: 273845014
{'hecke_orbit_code': 180143985128383848, 'n': 15, 'trace_an': 0}
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id: 273845015
{'hecke_orbit_code': 180143985128383848, 'n': 16, 'trace_an': 0}
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id: 273845016
{'hecke_orbit_code': 180143985128383848, 'n': 17, 'trace_an': 8}
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id: 273845017
{'hecke_orbit_code': 180143985128383848, 'n': 18, 'trace_an': 0}
-
id: 273845018
{'hecke_orbit_code': 180143985128383848, 'n': 19, 'trace_an': 2}
-
id: 273845019
{'hecke_orbit_code': 180143985128383848, 'n': 20, 'trace_an': 0}
-
id: 273845020
{'hecke_orbit_code': 180143985128383848, 'n': 21, 'trace_an': 0}
-
id: 273845021
{'hecke_orbit_code': 180143985128383848, 'n': 22, 'trace_an': 0}
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id: 273845022
{'hecke_orbit_code': 180143985128383848, 'n': 23, 'trace_an': 4}
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id: 273845023
{'hecke_orbit_code': 180143985128383848, 'n': 24, 'trace_an': 0}
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id: 273845024
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