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mf_newforms • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 16, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [784, 4, [687, 197, 689], [4, 1, 4]], 'cm_discs': [], 'conrey_index': 197, 'conrey_indexes': [197, 589], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [2, -2, 1]], [5, [2, -2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504424294646544, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 5, 1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '784.2.m.b', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '16.2.e.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-1-i)q^{2}+(1-i)q^{3}+2iq^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '784.2.m', 'trace_display': [-2, 2, 2, 0], 'trace_hash': 8734656338759992, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.950', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.121', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.562', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.201', 'prec': 17}, {'__RealLiteral__': 0, 'data': '96.044', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.258', 'prec': 17}, 'traces': [2, -2, 2, 0, 2, -4, 0, 4, 0, 0, 2, 4, 2, 0, 4, -8, 4, 2, -6, -4, 0, 0, 0, 0, 0, -4, 8, 0, 6, -4, 16, 8, 4, -4, 0, -4, 6, 12, 0, 8, 0, 0, 10, -4, -2, 12, -16, -8, 0, -6, 4, 4, -10, 0, 0, 0, 0, -12, 6, 0, 18, -16, 0, 0, 4, -4, -10, 0, 12, 0, 0, 4, 0, 0, -6, -12, 0, -4, 0, -8, 10, 0, 2, 0, 4, 0, 0, 8, 0, 4, 0, -24, 16, 16, -12, 16, 4, 0, -2, 12, -22, -8, 0, 0, 0, 0, -14, -16, 6, 4, 12, 0, -12, 12, -12, 12, 2, 0, 0, 8, 0, -36, 0, 0, 16, 0, 16, -16, 20, -4, -22, 0, 0, 20, 0, 8, 0, 0, 6, 0, -16, -20, 4, 0, 12, 8, 0, -12, 14, 0, 0, 0, 0, 0, 16, 8, -30, 0, -20, 0, 0, -10, -2, 0, 4, -4, 0, 0, 0, 0, -6, -20, 2, -12, 0, -8, 12, -8, -34, -4, 18, 0, 0, 24, 0, -32, 4, 0, 0, 12, -16, -16, 28, -4, 4, 0, -34, 4, 0, -12, 0, 0, 0, 8, 0, -12, -12, -8, -12, 0, -18, 20, -20, 0, 0, 32, 0, -12, 8, -8, 4, -12, -48, 0, 6, 12, -30, -24, -14, 24, 0, 0, 0, 0, -16, -12, 0, 0, 0, -16, 36, -18, -14, 36, 0, 0, 0, 32, 0, -32, -42, 0, -12, -16, 8, 32, 44, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, -1], [1, -1], [0, 2], [1, 1], [-2, 0], [0, 0], [2, -2], [0, 1], [0, -2], [1, 1], [2, 2], [1, -1], [0, 0], [2, 0], [-4, 0], [2, 0], [1, -1], [-3, 3], [-2, 2], [0, 0], [0, -2], [0, 6], [0, -4], [0, -3], [-2, 0], [4, 4], [0, 0], [3, -3], [-2, -2], [8, 0], [4, 4], [2, 0], [-2, -2], [0, 0], [-2, 0], [3, 3], [6, 0], [0, -2], [4, 0], [0, 0], [0, 0], [5, 5], [-2, 2], [-1, 1], [6, -6], [-8, 0], [-4, 4], [0, 0], [-3, 3], [2, -2], [2, 2], [-5, -5], [0, -8], [0, 2], [0, 0], [0, 6], [-6, 0], [3, 3], [0, 4], [9, -9], [-8, -8], [0, 0], [0, -8], [2, 0], [-2, -2], [-5, 5], [0, 4], [6, 6], [0, 0], [0, -10], [2, 2], [0, 4], [0, -6], [-3, -3], [-6, -6], [0, 0], [-2, 2], [0, 0], [-4, -4], [5, 0], [0, 0], [1, -1], [0, 0], [2, 2], [0, -10], [0, -6], [4, 0], [0, -4], [2, 0], [0, 0], [-12, 0], [8, -8], [8, 8], [-6, 0], [8, 0], [2, 0], [0, 0], [-1, 1], [6, 0]], 'ap': [[-1, -1], [1, -1], [1, 1], [0, 0], [1, 1], [1, -1], [2, 0], [-3, 3], [0, 6], [3, -3], [8, 0], [3, 3], [0, 0], [5, 5], [-8, 0], [-5, -5], [3, 3], [9, -9], [-5, 5], [0, -10], [0, 4], [0, 0], [1, -1], [0, -4], [2, 0], [-11, -11], [0, -6], [-7, -7], [3, -3], [-6, 0], [8, 0], [-11, 11], [0, 8], [3, 3], [7, 7], [0, -10], [-15, 15], [-1, 1], [0, 2], [1, -1], [-17, 17], [9, 9], [-8, 0], [14, 0], [-17, -17], [0, -14], [-9, 9], [-24, 0], [-15, 15], [-7, -7], [0, -4], [0, 0], [18, 0], [-21, -21], [22, 0], [0, 6], [-3, 3], [8, 0], [3, 3], [0, -20], [15, 15], [-15, -15], [5, -5], [0, -30], [0, -16], [-5, 5], [1, 1], [18, 0], [13, 13], [-3, 3], [6, 0], [0, -26], [-8, 0], [-5, -5], [-3, -3], [16, 0], [-13, -13], [5, -5], [-18, 0], [0, 16], [-3, 3], [-9, -9], [32, 0], [-14, 0], [0, -14], [-15, -15], [30, 0], [0, -32], [-11, 11], [-16, 0], [5, -5], [40, 0], [0, -2], [-19, -19], [23, -23], [0, -6], [-23, 23], [0, -40], [-25, -25], [-9, 9], [-5, 5], [-25, 25], [-19, 19], [0, 24], [1, 1], [-18, 0], [7, 7], [-34, 0], [0, 14], [0, -20], [32, 0], [-25, -25], [0, -12], [-17, -17], [0, -10], [-18, 0], [21, -21], [0, 42], [19, -19], [-17, 17], [9, 9], [14, 0], [-3, -3], [5, 5], [9, -9], [31, -31], [27, 27], [0, 0], [0, 2], [21, -21], [23, -23], [0, 46], [32, 0], [23, 23], [0, 0], [50, 0], [5, 5], [-15, 15], [25, -25], [0, -16], [39, 39], [11, 11], [0, -34], [33, 33], [-23, 23], [0, -14], [5, 5], [0, -8], [3, 3], [24, 0], [-5, 5], [-2, 0], [-21, 21], [0, 2], [-27, -27], [-8, 0], [0, -26], [-30, 0], [0, -28], [29, -29], [-5, 5], [0, -24], [0, -2], [19, 19], [-2, 0], [0, 34], [32, 0], [37, 37]], 'char_orbit_index': 13, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4504424294646544, 'hecke_ring_character_values': [[687, [1, 0]], [197, [0, 1]], [689, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '784.2.m.b', 'level': 784, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'char_conductor': 16, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [784, 4, [687, 197, 689], [4, 1, 4]], 'conrey_index': 197, 'cusp_dim': 208, 'dim': 154, 'eis_dim': 32, 'eis_new_dim': 20, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 824667276048, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 8, 12, 20, 24, 24, 48], 'label': '784.2.m', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 240, 'mf_new_dim': 174, 'num_forms': 12, 'prim_orbit_index': 5, 'relative_dim': 77, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [2, 2, 2, 0], 'traces': [154, 2, 2, 0, 2, 8, 0, -16, 0, -8, -2, 0, 2, 0, -12, 16, 4, 22, 10, 24, 0, -28, 0, 24, 0, 8, -16, 0, -18, 48, 16, -8, 4, -16, 0, 12, -6, 12, 0, -12, 0, 0, 10, 32, -2, 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-52, -174, 304, 216, -172, 0, 0, 0, -440, 352, 280, -100, -84, 0, -216, -14, 140, -82, -168, -100, 0, 0, 308, 0, 532, -162, -64, 0, 140, 276, 92, 4, 168, 48, 0, 94, -188, 0, 72, 0, 156, 0, 168, -52, 92, -712, 20, 196, 0, -288, 32, 90, 116, 0, 96], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 498650
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '16.2.e.a', 'target_level': 16, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 498651
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '16.2.e.a', 'target_level': 16, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 498652
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '64.2.e.a', 'target_level': 64, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 498653
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '64.2.e.a', 'target_level': 64, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '112.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 498654
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '128.2.e.a', 'target_level': 128, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
-
id: 498655
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '128.2.e.a', 'target_level': 128, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '112.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 498656
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '128.2.e.b', 'target_level': 128, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 498657
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '128.2.e.b', 'target_level': 128, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
-
id: 498658
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '144.2.k.a', 'target_level': 144, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 498659
{'conductor': 336, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '144.2.k.a', 'target_level': 144, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '336.y', 'twisting_char_orbit': 25, 'weight': 2}
-
id: 498660
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.2.l.c', 'target_level': 400, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 498661
{'conductor': 560, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.2.l.c', 'target_level': 400, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '560.bf', 'twisting_char_orbit': 32, 'weight': 2}
-
id: 498662
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.2.q.a', 'target_level': 400, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
-
id: 498663
{'conductor': 560, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '400.2.q.a', 'target_level': 400, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '560.r', 'twisting_char_orbit': 18, 'weight': 2}
-
id: 498664
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '400.2.q.b', 'target_level': 400, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
-
id: 498665
{'conductor': 560, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '400.2.q.b', 'target_level': 400, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '560.bn', 'twisting_char_orbit': 40, 'weight': 2}
-
id: 498666
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.2.k.a', 'target_level': 576, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 498667
{'conductor': 336, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '576.2.k.a', 'target_level': 576, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '336.v', 'twisting_char_orbit': 22, 'weight': 2}
-
id: 498668
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.2.m.b', 'target_level': 784, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
-
id: 498669
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.2.m.b', 'target_level': 784, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
-
id: 498670
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '784.2.x.c', 'target_level': 784, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 498671
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '784.2.x.c', 'target_level': 784, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
-
id: 498672
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.x.f', 'target_level': 784, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 498673
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.x.f', 'target_level': 784, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
-
id: 498674
{'conductor': 224, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1024.2.a.b', 'target_level': 1024, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '224.v', 'twisting_char_orbit': 22, 'weight': 2}
-
id: 498675
{'conductor': 224, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1024.2.a.e', 'target_level': 1024, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '224.x', 'twisting_char_orbit': 24, 'weight': 2}
-
id: 498676
{'conductor': 224, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1024.2.b.b', 'target_level': 1024, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '224.x', 'twisting_char_orbit': 24, 'weight': 2}
-
id: 498677
{'conductor': 224, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1024.2.b.e', 'target_level': 1024, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '224.v', 'twisting_char_orbit': 22, 'weight': 2}
-
id: 498678
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1152.2.k.a', 'target_level': 1152, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
-
id: 498679
{'conductor': 336, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1152.2.k.a', 'target_level': 1152, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '336.v', 'twisting_char_orbit': 22, 'weight': 2}
-
id: 498680
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1152.2.k.b', 'target_level': 1152, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
-
id: 498681
{'conductor': 336, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1152.2.k.b', 'target_level': 1152, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '336.y', 'twisting_char_orbit': 25, 'weight': 2}
-
id: 498682
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1600.2.l.a', 'target_level': 1600, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 498683
{'conductor': 560, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1600.2.l.a', 'target_level': 1600, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '560.be', 'twisting_char_orbit': 31, 'weight': 2}
-
id: 498684
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1600.2.q.a', 'target_level': 1600, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 498685
{'conductor': 560, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1600.2.q.a', 'target_level': 1600, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '560.u', 'twisting_char_orbit': 21, 'weight': 2}
-
id: 498686
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1600.2.q.b', 'target_level': 1600, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 498687
{'conductor': 560, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1600.2.q.b', 'target_level': 1600, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '560.bm', 'twisting_char_orbit': 39, 'weight': 2}
-
id: 498688
{'conductor': 672, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '9216.2.a.d', 'target_level': 9216, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '672.bo', 'twisting_char_orbit': 41, 'weight': 2}
-
id: 498689
{'conductor': 672, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '784.2.m.b', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '9216.2.a.s', 'target_level': 9216, 'twist_class_label': '16.2.e.a', 'twist_class_level': 16, 'twisting_char_label': '672.br', 'twisting_char_orbit': 44, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1325725
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 2}
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id: 1325726
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 3}
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id: 1325727
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 5}
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id: 1325728
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504424294646544, 'p': 7}
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id: 1325729
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 11}
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id: 1325730
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 13}
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id: 1325731
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4504424294646544, 'p': 17}
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id: 1325732
{'charpoly_factorization': [[[18, 6, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 19}
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id: 1325733
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 23}
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id: 1325734
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 29}
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id: 1325735
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 4504424294646544, 'p': 31}
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id: 1325736
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 37}
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id: 1325737
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504424294646544, 'p': 41}
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id: 1325738
{'charpoly_factorization': [[[50, -10, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 43}
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id: 1325739
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 4504424294646544, 'p': 47}
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id: 1325740
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 53}
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id: 1325741
{'charpoly_factorization': [[[18, -6, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 59}
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id: 1325742
{'charpoly_factorization': [[[162, -18, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 61}
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id: 1325743
{'charpoly_factorization': [[[50, 10, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 67}
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id: 1325744
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 71}
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id: 1325745
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 73}
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id: 1325746
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504424294646544, 'p': 79}
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id: 1325747
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 83}
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id: 1325748
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4504424294646544, 'p': 89}
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id: 1325749
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4504424294646544, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 13, 'hecke_orbit': 2, 'label': '784.2.m.b', 'level': 784, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 93039000
{'hecke_orbit_code': 4504424294646544, 'n': 1, 'trace_an': 2}
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id: 93039001
{'hecke_orbit_code': 4504424294646544, 'n': 2, 'trace_an': -2}
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id: 93039002
{'hecke_orbit_code': 4504424294646544, 'n': 3, 'trace_an': 2}
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id: 93039003
{'hecke_orbit_code': 4504424294646544, 'n': 4, 'trace_an': 0}
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id: 93039004
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{'hecke_orbit_code': 4504424294646544, 'n': 984, 'trace_an': 0}
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id: 93039984
{'hecke_orbit_code': 4504424294646544, 'n': 985, 'trace_an': 0}
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id: 93039985
{'hecke_orbit_code': 4504424294646544, 'n': 986, 'trace_an': -24}
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id: 93039986
{'hecke_orbit_code': 4504424294646544, 'n': 987, 'trace_an': 0}
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id: 93039987
{'hecke_orbit_code': 4504424294646544, 'n': 988, 'trace_an': -24}
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id: 93039988
{'hecke_orbit_code': 4504424294646544, 'n': 989, 'trace_an': -60}
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id: 93039989
{'hecke_orbit_code': 4504424294646544, 'n': 990, 'trace_an': 4}
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id: 93039990
{'hecke_orbit_code': 4504424294646544, 'n': 991, 'trace_an': 64}
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id: 93039991
{'hecke_orbit_code': 4504424294646544, 'n': 992, 'trace_an': 64}
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id: 93039992
{'hecke_orbit_code': 4504424294646544, 'n': 993, 'trace_an': 4}
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id: 93039993
{'hecke_orbit_code': 4504424294646544, 'n': 994, 'trace_an': 0}
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id: 93039994
{'hecke_orbit_code': 4504424294646544, 'n': 995, 'trace_an': 28}
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id: 93039995
{'hecke_orbit_code': 4504424294646544, 'n': 996, 'trace_an': 8}
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id: 93039996
{'hecke_orbit_code': 4504424294646544, 'n': 997, 'trace_an': 74}
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id: 93039997
{'hecke_orbit_code': 4504424294646544, 'n': 998, 'trace_an': -92}
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id: 93039998
{'hecke_orbit_code': 4504424294646544, 'n': 999, 'trace_an': 0}
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id: 93039999
{'hecke_orbit_code': 4504424294646544, 'n': 1000, 'trace_an': 0}