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{'Nk2': 7424, 'analytic_conductor': 14.820234615149639, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [29, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1856, 1, [639, 581, 321], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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': [[3, [-8, -5, 2, 1]], [5, [-10, -3, 4, 1]], [17, [-2, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463077696, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1856.2.a.x', 'level': 1856, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'minimal_twist': '232.2.a.d', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}+(-1+\\beta _{2})q^{5}+(2+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1856.2.a', 'trace_display': [0, -2, -4, 0], 'trace_hash': 1128618114644497679, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.831', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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[-65, -12, -19], [-62, 14, 4], [-32, -4, 10], [-6, -34, -28], [25, 3, 16]], 'char_orbit_index': 1, 'field_poly': [-2, -6, -1, 1], 'hecke_orbit_code': 103582791463077696, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [4, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-4, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '1856.2.a.x', 'level': 1856, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [29, -1]], 11, 10], [[[2, 1], [29, -1]], 17, 9], [[[2, -1], [29, 1]], 17, 5], [[[2, 1], [29, 1]], 11, 5]], 'ALdims': [11, 17, 17, 11], 'Nk2': 7424, 'analytic_conductor': 14.820234615149639, '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': [1856, 1, [639, 581, 321], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 229, 'dim': 56, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 17], 'hecke_orbit_code': 33556288, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 6], 'label': '1856.2.a', 'level': 1856, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'mf_dim': 252, 'mf_new_dim': 56, 'num_forms': 29, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 480, 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mf_twists_nf • Show schema
Hide schema
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id: 827518
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '1856.2.a.x', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '232.2.a.d', 'target_level': 232, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 827519
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '1856.2.a.x', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '464.2.a.j', 'target_level': 464, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 827520
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '1856.2.a.x', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1856.2.a.x', 'target_level': 1856, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 827521
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '1856.2.a.x', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '1856.2.a.y', 'target_level': 1856, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 827522
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '1856.2.a.x', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2088.2.a.s', 'target_level': 2088, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 827523
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '1856.2.a.x', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '4176.2.a.bu', 'target_level': 4176, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 827524
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '1856.2.a.x', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5800.2.a.p', 'target_level': 5800, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 827525
{'conductor': 232, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '1856.2.a.x', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '6728.2.a.j', 'target_level': 6728, 'twist_class_label': '232.2.a.d', 'twist_class_level': 232, 'twisting_char_label': '232.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2256850
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 103582791463077696, 'p': 2}
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id: 2256851
{'charpoly_factorization': [[[-8, -5, 2, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 3}
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id: 2256852
{'charpoly_factorization': [[[-10, -3, 4, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 5}
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id: 2256853
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 103582791463077696, 'p': 7}
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id: 2256854
{'charpoly_factorization': [[[-80, -29, 2, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 11}
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id: 2256855
{'charpoly_factorization': [[[-2, -19, 4, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 13}
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id: 2256856
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 103582791463077696, 'p': 17}
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id: 2256857
{'charpoly_factorization': [[[32, -28, -4, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 19}
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id: 2256858
{'charpoly_factorization': [[[-64, -20, 4, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 23}
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id: 2256859
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 103582791463077696, 'p': 29}
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id: 2256860
{'charpoly_factorization': [[[68, 59, 14, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 31}
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id: 2256861
{'charpoly_factorization': [[[32, -32, -2, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 37}
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id: 2256862
{'charpoly_factorization': [[[512, -64, -10, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 41}
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id: 2256863
{'charpoly_factorization': [[[-32, -37, -6, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 43}
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id: 2256864
{'charpoly_factorization': [[[-452, -117, 2, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 47}
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id: 2256865
{'charpoly_factorization': [[[-58, -43, 0, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 53}
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id: 2256866
{'charpoly_factorization': [[[-16, -4, 8, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 59}
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id: 2256867
{'charpoly_factorization': [[[-328, -100, 2, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 61}
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id: 2256868
{'charpoly_factorization': [[[-640, 32, 20, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 67}
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id: 2256869
{'charpoly_factorization': [[[1696, -148, -12, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 71}
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id: 2256870
{'charpoly_factorization': [[[-160, -96, -2, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 73}
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id: 2256871
{'charpoly_factorization': [[[388, 251, 30, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 79}
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id: 2256872
{'charpoly_factorization': [[[976, 316, 32, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 83}
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id: 2256873
{'charpoly_factorization': [[[2816, -256, -10, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 89}
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id: 2256874
{'charpoly_factorization': [[[-64, 32, 14, 1], 1]], 'hecke_orbit_code': 103582791463077696, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '1856.2.a.x', 'level': 1856, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255146000
{'hecke_orbit_code': 103582791463077696, 'n': 1, 'trace_an': 3}
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id: 255146001
{'hecke_orbit_code': 103582791463077696, 'n': 2, 'trace_an': 0}
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id: 255146002
{'hecke_orbit_code': 103582791463077696, 'n': 3, 'trace_an': -2}
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id: 255146003
{'hecke_orbit_code': 103582791463077696, 'n': 4, 'trace_an': 0}
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id: 255146004
{'hecke_orbit_code': 103582791463077696, 'n': 5, 'trace_an': -4}
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id: 255146005
{'hecke_orbit_code': 103582791463077696, 'n': 6, 'trace_an': 0}
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id: 255146006
{'hecke_orbit_code': 103582791463077696, 'n': 7, 'trace_an': 0}
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id: 255146007
{'hecke_orbit_code': 103582791463077696, 'n': 8, 'trace_an': 0}
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id: 255146008
{'hecke_orbit_code': 103582791463077696, 'n': 9, 'trace_an': 5}
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id: 255146009
{'hecke_orbit_code': 103582791463077696, 'n': 10, 'trace_an': 0}
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id: 255146010
{'hecke_orbit_code': 103582791463077696, 'n': 11, 'trace_an': -2}
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id: 255146011
{'hecke_orbit_code': 103582791463077696, 'n': 12, 'trace_an': 0}
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id: 255146012
{'hecke_orbit_code': 103582791463077696, 'n': 13, 'trace_an': -4}
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