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{'Nk2': 16100, 'analytic_conductor': 32.13978681356535, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [7, -1], [23, 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': [4025, 1, [2577, 1151, 3501], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 122821, 'field_disc_factorization': [[263, 1], [467, 1]], 'field_poly': [-1, 3, 4, -4, -2, 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': [[2, [-1, -4, 10, -2, -3, 1]], [3, [-1, -13, 7, 8, -6, 1]], [11, [-452, -612, -185, 14, 11, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698856889, 'hecke_ring_generator_nbound': 2, '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': '4025.2.a.r', 'level': 4025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 7, 23], 'level_radical': 805, 'minimal_twist': '805.2.a.k', 'nf_label': '5.5.122821.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(1+\\beta _{3})q^{3}+(\\beta _{3}+\\beta _{4})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4025.2.a', 'trace_display': [3, 6, 0, 5], 'trace_hash': 962668615055403874, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.813', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0], [1, -1, 0, 0, 0], [1, 0, 0, 1, 0], [0, 0, 0, 1, 1], [0, 0, 0, 0, 0], [2, -2, -1, 1, 0], [1, 0, 0, 0, 0], [0, 0, -1, 1, 1], [1, -1, -1, 2, 0], [0, 0, 0, 0, 0], [-2, 0, 2, -1, 0], [2, -1, -2, 2, 2], [0, 1, 1, 1, 2], [1, -1, 0, 0, 0], [0, 0, 0, 0, 0], [1, -2, -2, 0, -1], [2, -2, 0, -3, -2], [3, -2, -3, 4, 1], [2, -3, 0, 0, -1], [0, 0, 0, 0, 0], [1, 0, 0, 1, 0], [-1, 3, 3, -3, 0], [-1, 0, 0, 0, 0], [1, -1, -2, 3, 3], [0, 0, 0, 0, 0], [3, -4, 0, -1, 1], [4, -4, -3, 1, 1], [0, 0, 0, 1, 1], [-2, 0, 1, 2, -3], [0, 0, 0, 0, 0], [-2, -1, 1, 2, 2], [0, 2, 0, 2, -1], [-3, 1, 1, -5, -2], [-1, 5, 3, -1, 0], [0, 0, 0, 0, 0], [5, -4, -5, 5, 3], [0, 2, 4, 1, -2], [4, 2, 0, 3, 2], [1, 1, -2, 2, 3], [0, 0, 0, 0, 0], [-1, 4, 0, 0, 2], [2, -2, -1, 1, 0], [1, 4, 3, 1, -1], [0, 1, 2, -7, -3], [0, 0, 0, 0, 0], [-1, 1, 0, 0, 0], [6, -1, -1, 0, -2], [2, -4, -1, 2, 0], [1, 0, 0, 0, 0], [0, 0, 0, 0, 0], [-3, -1, 3, -3, -4], [7, -1, -1, 1, 1], [3, 1, 1, 0, 2], [7, -2, -4, 8, 5], [0, 0, 0, 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9, 4], [32, -19, -6, -31, -3], [25, 12, 6, 7, 26], [-4, 29, -3, 4, 2], [14, 31, 4, 0, -27], [-11, 2, -1, 14, -19], [15, -10, 29, -9, -11], [-21, -20, -7, 11, 1], [-46, 8, -16, -12, 8], [-25, -21, -2, 0, -15], [51, -29, -3, -35, -32], [47, -17, -1, -16, -16], [-4, 25, 12, 11, 23], [30, -26, 26, -16, -26], [-8, -8, 10, -29, 10], [-3, 5, 21, -8, -4], [-26, 17, 8, 14, -25], [43, 6, 4, -2, 20], [20, 4, -21, 1, 23], [-2, 0, -16, 25, 6], [6, -8, -24, 1, -10], [22, -1, -27, -1, 6], [21, -18, 2, -11, -30], [-14, -26, 8, 10, 0], [-10, 3, 15, -29, 10], [23, -28, -3, -9, 9], [-13, 6, -29, 0, 1], [45, -14, -14, -9, 22], [-3, 37, -10, 9, -7], [37, 4, 1, -9, 1], [29, 5, 29, 15, 6], [-2, 13, 2, 29, 19], [20, 21, 29, -11, -4], [38, 16, 14, -12, 6], [-43, 5, 1, 18, 8], [17, -14, 1, 20, -1], [5, -14, -3, -10, 11], [-35, 26, 11, 7, 33], [24, -17, -2, -21, 1], [-47, 15, 11, 23, 26], [-10, 13, 2, 14, 17], [6, 2, -11, -23, -35], [-60, 26, -1, 14, 17], [50, -27, 4, -16, -27], [-10, 7, 4, 20, -3], [0, 18, -7, 35, -15], [-11, -6, -10, 3, -6]], 'char_orbit_index': 1, 'field_poly': [-1, 3, 4, -4, -2, 1], 'hecke_orbit_code': 76561193698856889, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [1, 2, 0, 1, 1], [0, 7, 1, 2, 2], [2, 18, 2, 8, 7]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, -3, -2, 1, 0], [1, 2, -3, -2, 1], [-2, -4, 4, 2, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '4025.2.a.r', 'level': 4025, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [7, -1], [23, -1]], 35, 2], [[[5, -1], [7, -1], [23, 1]], 21, 3], [[[5, 1], [7, -1], [23, -1]], 18, 5], [[[5, -1], [7, 1], [23, -1]], 27, 3], [[[5, 1], [7, 1], [23, -1]], 22, 5], [[[5, 1], [7, -1], [23, 1]], 31, 8], [[[5, -1], [7, 1], [23, 1]], 29, 2], [[[5, 1], [7, 1], [23, 1]], 27, 3]], 'ALdims': [27, 22, 31, 18, 29, 27, 21, 35], 'Nk2': 16100, 'analytic_conductor': 32.13978681356535, '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': [4025, 1, [2577, 1151, 3501], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 469, 'dim': 210, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 11], 'hecke_orbit_code': 33558457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 8, 8, 8, 8, 8, 12, 12, 14, 14, 14, 14, 21, 21], 'label': '4025.2.a', 'level': 4025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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mf_twists_nf • Show schema
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id: 1182393
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '4025.2.a.r', 'source_level': 4025, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '805.2.a.k', 'target_level': 805, 'twist_class_label': '805.2.a.k', 'twist_class_level': 805, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1182394
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '4025.2.a.r', 'source_level': 4025, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4025.2.a.r', 'target_level': 4025, 'twist_class_label': '805.2.a.k', 'twist_class_level': 805, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1182395
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '4025.2.a.r', 'source_level': 4025, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '5635.2.a.x', 'target_level': 5635, 'twist_class_label': '805.2.a.k', 'twist_class_level': 805, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1182396
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '4025.2.a.r', 'source_level': 4025, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7245.2.a.bi', 'target_level': 7245, 'twist_class_label': '805.2.a.k', 'twist_class_level': 805, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3474575
{'charpoly_factorization': [[[-1, -4, 10, -2, -3, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 2}
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id: 3474576
{'charpoly_factorization': [[[-1, -13, 7, 8, -6, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 3}
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id: 3474577
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 76561193698856889, 'p': 5}
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id: 3474578
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 76561193698856889, 'p': 7}
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id: 3474579
{'charpoly_factorization': [[[-452, -612, -185, 14, 11, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 11}
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id: 3474580
{'charpoly_factorization': [[[-761, 44, 146, -15, -7, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 13}
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id: 3474581
{'charpoly_factorization': [[[-1444, 874, 15, -60, 1, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 17}
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id: 3474582
{'charpoly_factorization': [[[-452, 92, 153, -45, -2, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 19}
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id: 3474583
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 76561193698856889, 'p': 23}
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id: 3474584
{'charpoly_factorization': [[[-7448, -5740, -1300, -39, 14, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 29}
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id: 3474585
{'charpoly_factorization': [[[2489, 831, -265, -70, 6, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 31}
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id: 3474586
{'charpoly_factorization': [[[-13628, 5334, 159, -168, -1, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 37}
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id: 3474587
{'charpoly_factorization': [[[-331, 805, 146, -70, -7, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 41}
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id: 3474588
{'charpoly_factorization': [[[-8236, 2002, 831, -77, -12, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 43}
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id: 3474589
{'charpoly_factorization': [[[289, 483, -613, 196, -24, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 47}
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id: 3474590
{'charpoly_factorization': [[[548, -102, -305, 142, -21, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 53}
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id: 3474591
{'charpoly_factorization': [[[176, 372, -131, -70, 1, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 59}
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id: 3474592
{'charpoly_factorization': [[[-2252, 350, 291, -46, -7, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 61}
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id: 3474593
{'charpoly_factorization': [[[596, 5046, -2511, 450, -35, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 67}
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id: 3474594
{'charpoly_factorization': [[[-54361, -17981, -823, 264, 32, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 71}
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id: 3474595
{'charpoly_factorization': [[[4297, -3698, 1060, -89, -7, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 73}
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id: 3474596
{'charpoly_factorization': [[[-11236, -636, 977, -19, -18, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 79}
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id: 3474597
{'charpoly_factorization': [[[10204, 8018, -229, -204, -1, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 83}
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id: 3474598
{'charpoly_factorization': [[[-16204, 7570, 805, -230, -1, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 89}
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id: 3474599
{'charpoly_factorization': [[[-4948, 3934, 1477, -271, -9, 1], 1]], 'hecke_orbit_code': 76561193698856889, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '4025.2.a.r', 'level': 4025, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 241348000
{'hecke_orbit_code': 76561193698856889, 'n': 1, 'trace_an': 5}
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id: 241348001
{'hecke_orbit_code': 76561193698856889, 'n': 2, 'trace_an': 3}
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id: 241348002
{'hecke_orbit_code': 76561193698856889, 'n': 3, 'trace_an': 6}
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id: 241348003
{'hecke_orbit_code': 76561193698856889, 'n': 4, 'trace_an': 3}
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id: 241348004
{'hecke_orbit_code': 76561193698856889, 'n': 5, 'trace_an': 0}
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id: 241348005
{'hecke_orbit_code': 76561193698856889, 'n': 6, 'trace_an': 7}
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id: 241348006
{'hecke_orbit_code': 76561193698856889, 'n': 7, 'trace_an': 5}
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id: 241348007
{'hecke_orbit_code': 76561193698856889, 'n': 8, 'trace_an': 3}
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id: 241348008
{'hecke_orbit_code': 76561193698856889, 'n': 9, 'trace_an': 5}
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id: 241348009
{'hecke_orbit_code': 76561193698856889, 'n': 10, 'trace_an': 0}
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id: 241348010
{'hecke_orbit_code': 76561193698856889, 'n': 11, 'trace_an': -11}
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id: 241348011
{'hecke_orbit_code': 76561193698856889, 'n': 12, 'trace_an': 14}
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id: 241348012
{'hecke_orbit_code': 76561193698856889, 'n': 13, 'trace_an': 7}
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