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{'Nk2': 34680, 'analytic_conductor': 69.2302985524501, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [17, 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': [8670, 1, [2891, 6937, 6361], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 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': [[7, [-4, -4, 1]], [11, [-32, 0, 1]], [13, [-4, -4, 1]], [23, [6, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482048478, 'hecke_ring_generator_nbound': 7, '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': '8670.2.a.bf', 'level': 8670, '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': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '510.2.c.d', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(2+\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8670.2.a', 'trace_display': [-2, 2, -2, 4], 'trace_hash': 2161586854173049825, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.912', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.144', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '61.928', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, 'traces': [2, -2, 2, 2, -2, -2, 4, -2, 2, 2, 0, 2, 4, -4, -2, 2, 0, -2, 0, -2, 4, 0, -12, -2, 2, -4, 2, 4, 4, 2, -4, -2, 0, 0, -4, 2, -4, 0, 4, 2, 0, -4, 8, 0, -2, 12, 0, 2, 10, -2, 0, 4, 12, -2, 0, -4, 0, -4, -16, -2, 12, 4, 4, 2, -4, 0, 0, 0, -12, 4, -4, -2, 16, 4, 2, 0, 32, -4, 28, -2, 2, 0, 0, 4, 0, -8, 4, 0, -12, 2, -8, -12, -4, 0, 0, -2, -8, -10, 0, 2, 12, 0, 0, -4, -4, -12, 16, 2, 20, 0, -4, 4, -8, 0, 12, 4, 4, 16, 0, 2, 42, -12, 0, -4, -2, -4, -16, -2, 8, 4, 32, 0, 0, 0, -2, 0, -20, 12, 0, -4, 0, 4, -32, 2, -4, -16, 10, -4, 4, -2, 0, 0, 0, -32, 4, 4, 12, -28, 12, 2, -24, -2, -8, 0, 0, 0, -28, -4, -2, 0, 0, 8, 36, -4, 4, 0, -16, 12, -8, -2, -4, 8, 12, 12, 4, 4, 0, 0, 4, 0, -16, 2, -8, 8, -4, 10, 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mf_hecke_nf • Show schema
Hide schema
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'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 139611588482048478, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '8670.2.a.bf', 'level': 8670, 'maxp': 3673, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [11, 12, 10, 12, 16, 7, 8, 15, 10, 12, 11, 12, 8, 15, 16, 7], 'Nk2': 34680, 'analytic_conductor': 69.2302985524501, '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': [8670, 1, [2891, 6937, 6361], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1765, 'dim': 182, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 23], 'hecke_orbit_code': 33563102, '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, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '8670.2.a', 'level': 8670, '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': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 1908, 'mf_new_dim': 182, 'num_forms': 65, 'plus_dim': 76, 'prim_orbit_index': 1, 'relative_dim': 182, 'sturm_bound': 3672, 'trace_bound': 13, 'trace_display': [0, 2, 0, 4], 'traces': [182, 0, 2, 182, 0, 0, 4, 0, 182, 2, -4, 2, -8, -4, 0, 182, 0, 0, 0, 0, 4, -4, -8, 0, 182, 12, 2, 4, -24, -2, -16, 0, -12, 0, -4, 182, -8, 8, 8, 2, 4, -12, 0, -4, 0, 0, -16, 2, 150, 0, 0, -8, -16, 0, -12, -4, 16, 4, -20, 0, 4, 8, 4, 182, 12, 4, -8, 0, -8, -4, 24, 0, 44, 20, 2, 0, -16, -4, -16, 0, 182, 32, 16, 4, 0, 16, 8, -4, -36, 2, 40, -8, 32, -8, -24, 0, 4, 48, -4, 182, 24, 0, 4, 12, -4, 12, -16, 2, 4, -4, 16, 4, 48, 8, 16, -24, -8, -12, 0, -2, 214, 24, 12, -16, 0, -4, 4, 0, 16, 8, -12, -12, -16, -24, 0, 0, 0, -8, 40, -4, 16, -8, 8, 182, -20, 40, 34, -8, -32, 0, -24, 8, 0, -32, -8, 8, 8, 24, -16, 2, -48, 0, 16, 4, 12, -24, -24, -12, 186, 0, 0, 0, -48, -20, 4, -4, -4, 40, -100, 0, 20, -56, 4, 0, -28, 8, 0, -16, 4, 16, -8, 2, -36, 0, 4, 150, 16, -4, 8, 0, 8, -4, -56, 0, -32, -36, -8, -8, -48, 4, -40, -16, -8, -40, -16, 0, 392, 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80, 8, 324, 32, 0, 408, -8, -32, -108, 32, 16, -8, -108, 4, 4, 188, -16, 200, -24, -56, -56, 0, 12, -172, -32, -36, 16, -16, -20, -176, -20, -4, -16, -24, 328, -32, 8, 0, 0, -128, 12, -8, -72, -56, -24, 72, 0, 94, 80, -16, -20, -56, 0, 300, -48, 0, 28, -220, 2, 344, -44, 8, 4, 72, 56, 88, -16, 4, -52, 192, -16, -52, 0, -192, 312, -80, -4, 72, 8, -16, 64, 0, -16, 112, 24, 16, 2], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1401522
{'conductor': 17, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8670.2.a.bf', 'source_level': 8670, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '510.2.c.d', 'target_level': 510, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1401523
{'conductor': 51, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8670.2.a.bf', 'source_level': 8670, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1530.2.c.f', 'target_level': 1530, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '51.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1401524
{'conductor': 85, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8670.2.a.bf', 'source_level': 8670, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2550.2.c.l', 'target_level': 2550, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '85.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1401525
{'conductor': 85, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8670.2.a.bf', 'source_level': 8670, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2550.2.f.o', 'target_level': 2550, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '85.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1401526
{'conductor': 85, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8670.2.a.bf', 'source_level': 8670, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2550.2.f.t', 'target_level': 2550, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '85.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1401527
{'conductor': 68, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8670.2.a.bf', 'source_level': 8670, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4080.2.h.o', 'target_level': 4080, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '68.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1401528
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8670.2.a.bf', 'source_level': 8670, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '8670.2.a.bd', 'target_level': 8670, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1401529
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 32, 'source_is_minimal': False, 'source_label': '8670.2.a.bf', 'source_level': 8670, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '8670.2.a.bf', 'target_level': 8670, 'twist_class_label': '510.2.c.d', 'twist_class_level': 510, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4816025
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482048478, 'p': 2}
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id: 4816026
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 139611588482048478, 'p': 3}
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id: 4816027
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482048478, 'p': 5}
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id: 4816028
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 7}
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id: 4816029
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 11}
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id: 4816030
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 13}
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id: 4816031
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482048478, 'p': 17}
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id: 4816032
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482048478, 'p': 19}
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id: 4816033
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 139611588482048478, 'p': 23}
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id: 4816034
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 29}
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id: 4816035
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 31}
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id: 4816036
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 139611588482048478, 'p': 37}
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id: 4816037
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 41}
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id: 4816038
{'charpoly_factorization': [[[-56, -8, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 43}
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id: 4816039
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 47}
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id: 4816040
{'charpoly_factorization': [[[4, -12, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 53}
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id: 4816041
{'charpoly_factorization': [[[56, 16, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 59}
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id: 4816042
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 139611588482048478, 'p': 61}
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id: 4816043
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 67}
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id: 4816044
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 71}
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id: 4816045
{'charpoly_factorization': [[[56, -16, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 73}
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id: 4816046
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 139611588482048478, 'p': 79}
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id: 4816047
{'charpoly_factorization': [[[-288, 0, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 83}
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id: 4816048
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 89}
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id: 4816049
{'charpoly_factorization': [[[-56, 8, 1], 1]], 'hecke_orbit_code': 139611588482048478, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '8670.2.a.bf', 'level': 8670, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68930353
{'hecke_orbit_code': 139611588482048478, 'n': 1, 'trace_an': 2}
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id: 68930354
{'hecke_orbit_code': 139611588482048478, 'n': 2, 'trace_an': -2}
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id: 68930355
{'hecke_orbit_code': 139611588482048478, 'n': 3, 'trace_an': 2}
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id: 68930356
{'hecke_orbit_code': 139611588482048478, 'n': 4, 'trace_an': 2}
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id: 68930357
{'hecke_orbit_code': 139611588482048478, 'n': 5, 'trace_an': -2}
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id: 68930358
{'hecke_orbit_code': 139611588482048478, 'n': 6, 'trace_an': -2}
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id: 68930359
{'hecke_orbit_code': 139611588482048478, 'n': 7, 'trace_an': 4}
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