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{'Nk2': 23104, 'analytic_conductor': 46.12159220749155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [19, 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': [5776, 1, [5055, 1445, 2529], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2000, 'field_disc_factorization': [[2, 4], [5, 3]], 'field_poly': [5, 0, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 20, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-4, -12, -6, 2, 1]], [5, [-19, -32, -11, 2, 1]], [7, [-4, 12, -6, -2, 1]], [11, [76, -12, -26, 2, 1]], [13, [61, -232, 109, -18, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265232528, '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': '5776.2.a.bt', 'level': 5776, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'minimal_twist': '722.2.a.m', 'nf_label': '4.4.2000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{2}-\\beta _{3})q^{3}+(-1-\\beta _{1}-\\beta _{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5776.2.a', 'trace_display': [0, -2, -2, 2], 'trace_hash': 1435882152782544617, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.106', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.940', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, -1, -1], [0, 0, 0, 0], [-1, -1, -1, 1], [0, 0, 0, 0], [0, 1, -1, 0], [0, 0, 0, 0], [1, 2, 0, 0], [0, 0, 0, 0], [-2, -1, -3, 0], [0, 0, 0, 0], [4, -1, -1, -1], [0, 0, 0, 0], [1, 1, 4, 1], [0, 0, 0, 0], [1, 2, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -2, -2], [0, 0, 0, 0], [1, 2, -3, 3], [0, 0, 0, 0], [0, 0, -3, 2], [0, 0, 0, 0], [0, -2, -2, 0], [0, 0, 0, 0], [-2, 1, -3, -1], [0, 0, 0, 0], [-7, 0, -1, 1], [0, 0, 0, 0], [6, 4, 4, 0], [0, 0, 0, 0], [-1, -2, 1, 1], [0, 0, 0, 0], [1, -2, 0, -1], [0, 0, 0, 0], [0, 3, -3, -4], [0, 0, 0, 0], [-2, -1, 2, -2], [0, 0, 0, 0], [3, -2, 1, 1], [0, 0, 0, 0], [-5, -3, 1, -1], [0, 0, 0, 0], [5, -1, 4, -1], [0, 0, 0, 0], [-3, 0, 0, -2], [0, 0, 0, 0], [-2, -1, -5, -4], [0, 0, 0, 0], [1, 0, -2, 3], [0, 0, 0, 0], [7, 0, 1, 5], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, -1, -2, -1], [0, 0, 0, 0], [-3, -1, -6, -2], [0, 0, 0, 0], [6, 1, 1, -2], [0, 0, 0, 0], [-2, -3, -2, 7], [0, 0, 0, 0], [-1, 0, 3, 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-29], [-13, 19, -10, -29], [-3, -32, -31, 1], [2, 30, 4, 18], [8, 26, -38, 18], [29, -7, 18, -33], [-5, 5, -6, 16], [23, 1, 18, 1], [-28, 1, -33, 12], [7, -36, -37, -10], [58, -6, 25, -10], [-26, 18, -6, -5], [-6, -5, 13, -23], [2, -12, -11, -18], [-38, 4, -50, 10], [-20, 12, -15, -28], [-3, 10, -1, -3], [29, -13, -14, -15], [-1, -6, -9, -31], [29, -17, 8, 14], [17, -15, 22, -11], [-52, 3, -1, 12], [46, -12, 2, 13], [7, 36, 12, -9], [19, -36, 11, 17], [14, 21, 15, 12], [-12, 6, -22, -28], [-34, 10, 2, -19], [4, 3, 35, -24], [30, -12, -2, 8], [37, 10, 35, -23], [-1, -23, 28, 0], [-25, -12, -30, 7], [-30, 18, -39, -20], [-26, -9, 29, -2], [-20, 18, -22, -29], [-25, 4, 6, 13], [10, -2, 32, 18], [-25, 5, 30, 14], [-66, -10, 12, 3], [-4, 26, -10, 28], [11, -27, 28, -5], [-30, 8, -18, -25], [-5, 15, -18, -2], [-1, 38, -27, 3], [56, 0, 8, 12], [28, -4, -13, -10], [20, -34, -42, -16], [32, 9, -11, 0], [-31, -37, -2, 9], [-10, -52, -1, 10], [-30, -22, -28, 34], [26, 15, 19, -7], [23, -6, 18, -19], [27, 13, 4, 1], [-1, -25, -12, -7], [36, -21, 18, 26], [-33, 22, -22, -15], [62, 11, 39, -32], [40, 0, 45, -26], [-16, -15, -3, -30], [27, -15, -24, 5]], 'char_orbit_index': 1, 'field_poly': [5, 0, -5, 0, 1], 'hecke_orbit_code': 202661983265232528, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 0, 1, 0], [0, 3, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, 0, 1, 0], [0, -3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '5776.2.a.bt', 'level': 5776, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [19, -1]], 36, 18], [[[2, 1], [19, -1]], 45, 15], [[[2, 1], [19, 1]], 40, 10], [[[2, -1], [19, 1]], 41, 14]], 'ALdims': [40, 45, 41, 36], 'Nk2': 23104, 'analytic_conductor': 46.12159220749155, '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': [5776, 1, [5055, 1445, 2529], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 701, 'dim': 162, 'eis_dim': 119, 'eis_new_dim': 17, 'hecke_cutter_primes': [3, 5, 7, 11, 13], 'hecke_orbit_code': 33560208, 'hecke_orbit_dims': [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, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 9, 9], 'label': '5776.2.a', 'level': 5776, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 820, 'mf_new_dim': 179, 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mf_twists_nf • Show schema
Hide schema
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id: 1274610
{'conductor': 76, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '5776.2.a.bt', 'source_level': 5776, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '722.2.a.m', 'target_level': 722, 'twist_class_label': '722.2.a.m', 'twist_class_level': 722, 'twisting_char_label': '76.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1274611
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '5776.2.a.bt', 'source_level': 5776, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '722.2.a.n', 'target_level': 722, 'twist_class_label': '722.2.a.m', 'twist_class_level': 722, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1274612
{'conductor': 76, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '5776.2.a.bt', 'source_level': 5776, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '722.2.c.m', 'target_level': 722, 'twist_class_label': '722.2.a.m', 'twist_class_level': 722, 'twisting_char_label': '76.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1274613
{'conductor': 76, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '5776.2.a.bt', 'source_level': 5776, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '722.2.c.n', 'target_level': 722, 'twist_class_label': '722.2.a.m', 'twist_class_level': 722, 'twisting_char_label': '76.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1274614
{'conductor': 76, 'degree': 6, 'multiplicity': 6, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '5776.2.a.bt', 'source_level': 5776, 'target_char_orbit': 5, 'target_dim': 24, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '722.2.e.r', 'target_level': 722, 'twist_class_label': '722.2.a.m', 'twist_class_level': 722, 'twisting_char_label': '76.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1274615
{'conductor': 76, 'degree': 6, 'multiplicity': 6, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '5776.2.a.bt', 'source_level': 5776, 'target_char_orbit': 5, 'target_dim': 24, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '722.2.e.s', 'target_level': 722, 'twist_class_label': '722.2.a.m', 'twist_class_level': 722, 'twisting_char_label': '76.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1274616
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '5776.2.a.bt', 'source_level': 5776, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '5776.2.a.bt', 'target_level': 5776, 'twist_class_label': '722.2.a.m', 'twist_class_level': 722, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1274617
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '5776.2.a.bt', 'source_level': 5776, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '5776.2.a.bv', 'target_level': 5776, 'twist_class_label': '722.2.a.m', 'twist_class_level': 722, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1274618
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '5776.2.a.bt', 'source_level': 5776, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '6498.2.a.bx', 'target_level': 6498, 'twist_class_label': '722.2.a.m', 'twist_class_level': 722, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1274619
{'conductor': 228, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '5776.2.a.bt', 'source_level': 5776, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '6498.2.a.ca', 'target_level': 6498, 'twist_class_label': '722.2.a.m', 'twist_class_level': 722, 'twisting_char_label': '228.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3997375
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 202661983265232528, 'p': 2}
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id: 3997376
{'charpoly_factorization': [[[-4, -12, -6, 2, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 3}
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id: 3997377
{'charpoly_factorization': [[[-19, -32, -11, 2, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 5}
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id: 3997378
{'charpoly_factorization': [[[-4, 12, -6, -2, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 7}
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id: 3997379
{'charpoly_factorization': [[[76, -12, -26, 2, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 11}
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id: 3997380
{'charpoly_factorization': [[[61, -232, 109, -18, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 13}
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id: 3997381
{'charpoly_factorization': [[[-19, 74, -9, -6, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 17}
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id: 3997382
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 202661983265232528, 'p': 19}
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id: 3997383
{'charpoly_factorization': [[[-1220, 660, -50, -10, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 23}
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id: 3997384
{'charpoly_factorization': [[[-19, -92, -31, 2, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 29}
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id: 3997385
{'charpoly_factorization': [[[1436, 996, 246, 26, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 31}
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id: 3997386
{'charpoly_factorization': [[[-19, 46, -19, -4, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 37}
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id: 3997387
{'charpoly_factorization': [[[-359, -152, 19, 12, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 41}
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id: 3997388
{'charpoly_factorization': [[[-100, 100, 10, -10, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 43}
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id: 3997389
{'charpoly_factorization': [[[76, 112, 4, -12, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 47}
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id: 3997390
{'charpoly_factorization': [[[181, 98, -31, -8, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 53}
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id: 3997391
{'charpoly_factorization': [[[-164, 88, 4, -8, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 59}
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id: 3997392
{'charpoly_factorization': [[[1025, 150, -115, 0, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 61}
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id: 3997393
{'charpoly_factorization': [[[-20, -140, -30, 10, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 67}
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id: 3997394
{'charpoly_factorization': [[[-20, 360, -100, 0, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 71}
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id: 3997395
{'charpoly_factorization': [[[-139, -6, 51, 14, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 73}
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id: 3997396
{'charpoly_factorization': [[[-4724, -732, 94, 22, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 79}
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id: 3997397
{'charpoly_factorization': [[[-6884, 2832, -196, -12, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 83}
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id: 3997398
{'charpoly_factorization': [[[-1159, -724, -29, 16, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 89}
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id: 3997399
{'charpoly_factorization': [[[-7979, 1948, 99, -28, 1], 1]], 'hecke_orbit_code': 202661983265232528, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '5776.2.a.bt', 'level': 5776, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 275832000
{'hecke_orbit_code': 202661983265232528, 'n': 1, 'trace_an': 4}
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id: 275832001
{'hecke_orbit_code': 202661983265232528, 'n': 2, 'trace_an': 0}
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id: 275832002
{'hecke_orbit_code': 202661983265232528, 'n': 3, 'trace_an': -2}
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id: 275832003
{'hecke_orbit_code': 202661983265232528, 'n': 4, 'trace_an': 0}
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id: 275832004
{'hecke_orbit_code': 202661983265232528, 'n': 5, 'trace_an': -2}
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id: 275832005
{'hecke_orbit_code': 202661983265232528, 'n': 6, 'trace_an': 0}
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id: 275832006
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