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mf_newforms • Show schema
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{'Nk2': 11200, 'analytic_conductor': 22.358112565958507, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [2800, 2, [351, 2101, 2577, 801], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 449, '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, [0, 1]], [11, [-4, 1]], [13, [4, 0, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554406760975088, 'hecke_ring_generator_nbound': 7, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2800.2.g.p', 'level': 2800, '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, 5, 7], 'level_radical': 70, 'minimal_twist': '56.2.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+i q^{7}+3 q^{9}+4 q^{11}-2 i q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2800.2.g', 'trace_display': [0, 0, 0, 0], 'trace_hash': 924392036184250481, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.930', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.294', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.445', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [3, 0], [0, 0], [4, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [0, -6], [0, 0], [8, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, 8], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [0, -6], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [8, 0], [0, 0], [0, -10], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [16, 0], [0, 0], [9, 0], [0, 0], [0, 8], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [6, 0], [0, 0], [2, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -6], [0, 0], [12, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [0, 1], [4, 0], [0, -2], [0, -6], [8, 0], [0, 0], [-6, 0], [-8, 0], [0, -2], [2, 0], [0, -4], [0, 8], [0, -6], [0, 0], [-6, 0], [0, 4], [8, 0], [0, -10], [16, 0], [0, 8], [6, 0], [0, -6], [2, 0], [0, -16], [0, 12], [10, 0], [0, -2], [0, 8], [-8, 0], [0, -6], [-8, 0], [-6, 0], [0, 0], [0, 18], [0, -12], [0, -16], [0, -18], [-4, 0], [10, 0], [16, 0], [0, 14], [0, 6], [0, 0], [-12, 0], [0, 0], [0, 8], [-10, 0], [0, 22], [8, 0], [10, 0], [-24, 0], [0, 2], [0, 24], [14, 0], [0, 0], [0, 22], [-6, 0], [0, 16], [0, -18], [0, 8], [-8, 0], [0, 14], [0, 30], [4, 0], [0, 2], [0, -12], [30, 0], [0, 14], [0, 0], [0, -16], [0, 26], [-4, 0], [0, -24], [2, 0], [0, -14], [18, 0], [14, 0], [-16, 0], [-26, 0], [8, 0], [0, -10], [24, 0], [0, 36], [-34, 0], [0, -38], [-30, 0], [0, -16], [0, 8], [-24, 0], [0, 16], [12, 0], [-4, 0], [0, 40], [-34, 0], [18, 0], [0, -32], [14, 0], [0, -36], [0, 14], [0, 32], [-26, 0], [-28, 0], [0, -14], [0, 24], [0, -34], [-24, 0], [26, 0], [0, -32], [0, 18], [0, -38], [-32, 0], [-24, 0], [-30, 0], [0, 16], [0, 32], [0, 26], [-12, 0], [2, 0], [0, 14], [0, -6], [0, 36], [8, 0], [-42, 0], [-30, 0], [8, 0], [0, -16], [0, -26], [52, 0], [0, 32], [8, 0], [0, -2], [-30, 0], [22, 0], [0, -50], [0, 40], [0, -30], [-26, 0], [-16, 0], [-10, 0], [0, 24], [0, 28], [-26, 0], [-48, 0], [0, -26], [0, 18], [-40, 0], [0, 16], [0, 6], [18, 0], [0, -20], [0, 16], [0, 28], [-24, 0], [-40, 0], [-10, 0], [0, 10], [-54, 0], [0, -52], [0, 6], [0, 16], [-48, 0], [0, 2], [0, 0], [16, 0], [0, -14], [-2, 0], [0, 6], [-60, 0], [-14, 0], [-24, 0], [0, 22], [40, 0], [-42, 0], [-4, 0], [46, 0], [0, -24], [22, 0], [0, 56], [48, 0], [0, -14], [0, -6], [0, -40], [54, 0], [0, -18], [0, -8], [38, 0], [40, 0], [0, -50], [0, 4], [20, 0], [18, 0], [0, 36], [0, 6], [2, 0], [0, -6], [0, 2], [0, -24], [2, 0], [-8, 0], [0, 66], [30, 0], [32, 0], [0, 58], [24, 0], [0, -28], [6, 0], [-24, 0], [0, 50], [18, 0], [0, -64], [0, -48], [-24, 0], [-46, 0], [0, -48], [-6, 0], [0, 24], [0, -22], [62, 0], [-8, 0], [62, 0], [0, 72], [0, 56], [18, 0], [0, 6], [56, 0], [0, 8], [-28, 0], [0, -38], [0, 0], [64, 0], [10, 0], [0, 16], [0, 64], [-26, 0], [0, -38], [-60, 0], [-8, 0], [0, -28], [16, 0], [0, 56], [34, 0], [0, -18], [-48, 0], [0, -32], [56, 0], [76, 0], [0, 0], [0, -50], [18, 0], [0, -40], [22, 0], [0, 54], [-36, 0], [-50, 0], [0, 40], [0, 2], [0, 18], [0, -8], [0, -36], [-34, 0], [0, 70], [0, 58], [64, 0], [34, 0], [-70, 0], [0, 36], [0, -14], [-14, 0], [0, 60], [0, -74], [-8, 0], [0, 18], [0, 56], [0, 4], [2, 0], [58, 0], [-72, 0], [0, 0], [-40, 0], [0, -16], [-46, 0], [0, -48], [40, 0], [0, 46], [0, 22], [-16, 0], [-82, 0], [30, 0], [0, 24], [0, -10], [-48, 0], [0, -46], [-34, 0], [-16, 0], [0, 54], [-40, 0], [0, 64], [0, -66], [0, -74], [-16, 0]], 'char_orbit_index': 7, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 67554406760975088, 'hecke_ring_character_values': [[351, [1, 0]], [2101, [1, 0]], [2577, [-1, 0]], [801, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2800.2.g.p', 'level': 2800, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 11200, 'analytic_conductor': 22.358112565958507, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [2800, 2, [351, 2101, 2577, 801], [2, 2, 1, 2]], 'conrey_index': 449, 'cusp_dim': 444, 'dim': 54, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13], 'hecke_orbit_code': 412350417648, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], 'label': '2800.2.g', 'level': 2800, '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, 5, 7], 'level_radical': 70, 'mf_dim': 516, 'mf_new_dim': 54, 'num_forms': 22, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 960, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, 0, 0, 0, 0, 0, -54, 0, 12, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 16, 0, 0, 0, 0, 0, 0, 0, 40, 0, 4, 0, 0, 0, 0, 0, 0, 0, -54, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 32, 0, -52, 0, 0, 0, 0, 0, 0, 0, 4, 0, 38, 0, 0, 0, 0, 0, 0, 0, -20, 0, 12, 0, 0, 0, 0, 0, 0, 0, -76, 0, -20, 0, 0, 0, 0, 0, 0, 0, 68, 0, 88, 0, 0, 0, 0, 0, 0, 0, 20, 0, 86, 0, 0, 0, 0, 0, 0, 0, -32, 0, 64, 0, 0, 0, 0, 0, 0, 0, -32, 0, -80, 0, 0, 0, 0, 0, 0, 0, 20, 0, 84, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -106, 0, -88, 0, 0, 0, 0, 0, 0, 0, 16, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, -136, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 40, 0, 0, 0, 0, 0, 0, 0, 88, 0, -24, 0, 0, 0, 0, 0, 0, 0, 36, 0, -48, 0, 0, 0, 0, 0, 0, 0, 56, 0, -28, 0, 0, 0, 0, 0, 0, 0, 72, 0, -104, 0, 0, 0, 0, 0, 0, 0, -24, 0, 44, 0, 0, 0, 0, 0, 0, 0, -44, 0, -32, 0, 0, 0, 0, 0, 0, 0, -304, 0, 28, 0, 0, 0, 0, 0, 0, 0, -58, 0, 104, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 256, 0, 0, 0, 0, 0, 0, 0, 28, 0, -168, 0, 0, 0, 0, 0, 0, 0, -16, 0, 44, 0, 0, 0, 0, 0, 0, 0, -16, 0, 128, 0, 0, 0, 0, 0, 0, 0, 68, 0, -168, 0, 0, 0, 0, 0, 0, 0, -12, 0, 22, 0, 0, 0, 0, 0, 0, 0, 84, 0, 36, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 84, 0, 0, 0, 0, 0, 0, 0, 44, 0, -136, 0, 0, 0, 0, 0, 0, 0, -184, 0, 28, 0, 0, 0, 0, 0, 0, 0, 32, 0, 8, 0, 0, 0, 0, 0, 0, 0, 128, 0, 54, 0, 0, 0, 0, 0, 0, 0, -4, 0, -96, 0, 0, 0, 0, 0, 0, 0, -16, 0, -164, 0, 0, 0, 0, 0, 0, 0, -32, 0, 80, 0, 0, 0, 0, 0, 0, 0, -16, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 228, 0, 0, 0, 0, 0, 0, 0, 48, 0, -48, 0, 0, 0, 0, 0, 0, 0, -92, 0, -100, 0, 0, 0, 0, 0, 0, 0, 264, 0, -28, 0, 0, 0, 0, 0, 0, 0, 58, 0, -192, 0, 0, 0, 0, 0, 0, 0, -12, 0, -36, 0, 0, 0, 0, 0, 0, 0, 260, 0, -136, 0, 0, 0, 0, 0, 0, 0, -128, 0, -168, 0, 0, 0, 0, 0, 0, 0, 60, 0, -300, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, -40, 0, 0, 0, 0, 0, 0, 0, -124, 0, 36, 0, 0, 0, 0, 0, 0, 0, 48, 0, 72, 0, 0, 0, 0, 0, 0, 0, 16, 0, -176, 0, 0, 0, 0, 0, 0, 0, -120, 0, -308, 0, 0, 0, 0, 0, 0, 0, 420, 0, -52, 0, 0, 0, 0, 0, 0, 0, -80, 0, 128, 0, 0, 0, 0, 0, 0, 0, -72, 0, -132, 0, 0, 0, 0, 0, 0, 0, 128, 0, 360, 0, 0, 0, 0, 0, 0, 0, 36, 0, -96, 0, 0, 0, 0, 0, 0, 0, -216, 0, 112, 0, 0, 0, 0, 0, 0, 0, 168, 0, 148, 0, 0, 0, 0, 0, 0, 0, 76, 0, 308, 0, 0, 0, 0, 0, 0, 0, 200, 0, 16, 0, 0, 0, 0, 0, 0, 0, -174, 0, -32, 0, 0, 0, 0, 0, 0, 0, 60, 0, -112, 0, 0, 0, 0, 0, 0, 0, -24, 0, -280, 0, 0, 0, 0, 0, 0, 0, -328, 0, 68, 0, 0, 0, 0, 0, 0, 0, 140, 0, 32, 0, 0, 0, 0, 0, 0, 0, -168, 0, 152, 0, 0, 0, 0, 0, 0, 0, -176, 0, -112, 0, 0, 0, 0, 0, 0, 0, 168, 0, 268, 0, 0, 0, 0, 0, 0, 0, -76, 0, -376, 0, 0, 0, 0, 0, 0, 0, -36, 0, -156, 0, 0, 0, 0, 0, 0, 0, -92, 0, -432, 0, 0, 0, 0, 0, 0, 0, -24, 0, 170, 0, 0, 0, 0, 0, 0, 0, -280, 0, 12, 0, 0, 0, 0, 0, 0, 0, -128, 0, 32, 0, 0, 0, 0, 0, 0, 0, -56, 0, 128, 0, 0, 0, 0, 0, 0, 0, -232, 0, 92, 0, 0, 0, 0, 0, 0, 0, -32, 0, 604, 0, 0, 0, 0, 0, 0, 0, 192, 0, -248, 0, 0, 0, 0, 0, 0, 0, 244, 0, -108, 0, 0, 0, 0, 0, 0, 0, -12, 0, -24, 0, 0, 0, 0, 0, 0, 0, -108, 0, 16, 0, 0, 0, 0, 0, 0, 0, -296, 0, 124, 0, 0, 0, 0, 0, 0, 0, -24, 0, 760, 0, 0, 0, 0, 0, 0, 0, 84, 0, 70, 0, 0, 0, 0, 0, 0, 0, 248, 0, 256, 0, 0, 0, 0, 0, 0, 0, 424, 0, -52, 0, 0, 0, 0, 0, 0, 0, -360, 0, -60, 0, 0, 0, 0, 0, 0, 0, 48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1002009
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '56.2.a.a', 'target_level': 56, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1002010
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '112.2.a.b', 'target_level': 112, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1002011
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '392.2.a.d', 'target_level': 392, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1002012
{'conductor': 140, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '392.2.i.c', 'target_level': 392, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1002013
{'conductor': 140, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '392.2.i.d', 'target_level': 392, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '140.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 1002014
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.a.d', 'target_level': 448, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1002015
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '448.2.a.e', 'target_level': 448, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1002016
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '504.2.a.c', 'target_level': 504, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1002017
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.a.e', 'target_level': 784, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1002018
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.i.e', 'target_level': 784, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1002019
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '784.2.i.g', 'target_level': 784, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1002020
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1008.2.a.d', 'target_level': 1008, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1002021
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1400.2.a.g', 'target_level': 1400, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1002022
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1400.2.g.g', 'target_level': 1400, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1002023
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1400.2.g.g', 'target_level': 1400, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1002024
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1792.2.b.d', 'target_level': 1792, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1002025
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1792.2.b.d', 'target_level': 1792, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1002026
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1792.2.b.i', 'target_level': 1792, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1002027
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1792.2.b.i', 'target_level': 1792, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1002028
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2800.2.a.p', 'target_level': 2800, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1002029
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2800.2.g.p', 'target_level': 2800, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1002030
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2800.2.g.p', 'target_level': 2800, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1002031
{'conductor': 280, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3136.2.a.p', 'target_level': 3136, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '280.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1002032
{'conductor': 280, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3136.2.a.q', 'target_level': 3136, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '280.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 1002033
{'conductor': 420, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '3528.2.a.x', 'target_level': 3528, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '420.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1002034
{'conductor': 420, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3528.2.s.e', 'target_level': 3528, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '420.br', 'twisting_char_orbit': 44, 'weight': 2}
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id: 1002035
{'conductor': 420, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '3528.2.s.t', 'target_level': 3528, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '420.bp', 'twisting_char_orbit': 42, 'weight': 2}
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id: 1002036
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '4032.2.a.bb', 'target_level': 4032, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1002037
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '4032.2.a.bk', 'target_level': 4032, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1002038
{'conductor': 220, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '6776.2.a.g', 'target_level': 6776, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '220.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1002039
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '7056.2.a.bo', 'target_level': 7056, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1002040
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '9464.2.a.c', 'target_level': 9464, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '260.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1002041
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '2800.2.g.p', 'source_level': 2800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '9800.2.a.u', 'target_level': 9800, 'twist_class_label': '56.2.a.a', 'twist_class_level': 56, 'twisting_char_label': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2857900
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 2}
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id: 2857901
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 3}
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id: 2857902
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 5}
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id: 2857903
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 7}
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id: 2857904
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 11}
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id: 2857905
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 13}
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id: 2857906
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 17}
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id: 2857907
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 19}
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id: 2857908
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 23}
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id: 2857909
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 29}
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id: 2857910
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 31}
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id: 2857911
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 37}
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id: 2857912
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 41}
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id: 2857913
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 43}
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id: 2857914
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 47}
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id: 2857915
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 53}
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id: 2857916
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 59}
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id: 2857917
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 61}
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id: 2857918
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 67}
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id: 2857919
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 71}
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id: 2857920
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 73}
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id: 2857921
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 79}
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id: 2857922
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 83}
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id: 2857923
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 67554406760975088, 'p': 89}
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id: 2857924
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 67554406760975088, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 16, 'label': '2800.2.g.p', 'level': 2800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61228795
{'hecke_orbit_code': 67554406760975088, 'n': 1, 'trace_an': 2}
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id: 61228796
{'hecke_orbit_code': 67554406760975088, 'n': 2, 'trace_an': 0}
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id: 61228797
{'hecke_orbit_code': 67554406760975088, 'n': 3, 'trace_an': 0}
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id: 61228798
{'hecke_orbit_code': 67554406760975088, 'n': 4, 'trace_an': 0}
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