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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1], [17, -1]], 'atkin_lehner_string': '+++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2550, 1, [851, 1327, 751], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 33, 'field_disc_factorization': [[3, 1], [11, 1]], 'field_poly': [-8, -1, 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': [[7, [-8, 1, 1]], [11, [-6, -3, 1]], [13, [2, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109412854, 'hecke_ring_generator_nbound': 7, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2550.2.a.bg', 'level': 2550, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '2550.2.a.bg', 'nf_label': '2.2.33.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}+q^{6}-\\beta q^{7}-q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2550.2.a', 'trace_display': [-2, -2, 0, -1], 'trace_hash': 1408508490244620112, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.053', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.932', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.176', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.465', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.896', 'prec': 17}, {'__RealLiteral__': 0, 'data': '65.035', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [2, -2, -2, 2, 0, 2, -1, -2, 2, 0, 3, -2, -4, 1, 0, 2, 2, -2, 1, 0, 1, -3, -3, 2, 0, 4, -2, -1, 6, 0, 1, -2, -3, -2, 0, 2, 2, -1, 4, 0, 3, -1, -13, 3, 0, 3, 9, -2, 3, 0, -2, -4, 0, 2, 0, 1, -1, -6, 3, 0, 1, -1, -1, 2, 0, 3, 5, 2, 3, 0, 3, -2, -16, -2, 0, 1, 15, -4, -5, 0, 2, -3, 3, 1, 0, 13, -6, -3, 6, 0, 2, -3, -1, -9, 0, 2, 14, -3, 3, 0, 9, 2, -25, 4, 0, 0, 15, -2, 1, 0, -2, -1, 12, 1, 0, 6, -4, -3, -1, 0, -1, -1, -3, 1, 0, 1, 20, -2, 13, 0, 12, -3, -17, -5, 0, -2, 12, -3, 19, 0, -9, -3, -6, 2, 0, 16, -3, 2, 15, 0, -11, -1, 2, -15, 0, 4, 26, 5, 0, 0, 18, -2, -13, 3, 0, -3, 30, -1, -18, 0, 1, -13, 24, 6, 0, 3, -3, -6, -3, 0, 22, -2, -1, 3, 0, 1, 3, 9, 1, 0, -3, -2, -16, -14, 0, 3, 30, -3, 25, 0, -5, -9, 30, -2, 0, 25, 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'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, 0], [-1, 0], [1, 0], [0, 0], [1, 0], [0, -1], [-1, 0], [1, 0], [0, 0], [2, -1], [-1, 0], [-2, 0], [0, 1], [0, 0], [1, 0], [1, 0], [-1, 0], [0, 1], [0, 0], [0, 1], [-2, 1], [-1, -1], [1, 0], [0, 0], [2, 0], [-1, 0], [0, -1], [4, -2], [0, 0], [2, -3], [-1, 0], [-2, 1], [-1, 0], [0, 0], [1, 0], [1, 0], [0, -1], [2, 0], [0, 0], [1, 1], [0, -1], [-6, -1], [2, -1], [0, 0], [1, 1], [4, 1], [-1, 0], [1, 1], [0, 0], [-1, 0], [-2, 0], [-1, 2], [1, 0], [0, 0], [0, 1], [0, -1], [-4, 2], [3, -3], [0, 0], [-1, 3], [-2, 3], [0, -1], [1, 0], [0, 0], [2, -1], [2, 1], [1, 0], [1, 1], [0, 0], [1, 1], [-1, 0], [-8, 0], [-1, 0], [0, 0], [0, 1], [8, -1], [-2, 0], [-4, 3], [0, 0], [1, 0], [-1, -1], [1, 1], [0, 1], [0, 0], [6, 1], [-4, 2], [-2, 1], [2, 2], [0, 0], [0, 2], [-1, -1], [-2, 3], [-4, -1], [0, 0], [1, 0], [8, -2], [-1, -1], [2, -1], [0, 0]], 'ap': [[-1, 0], [-1, 0], [0, 0], [0, -1], [2, -1], [-2, 0], [1, 0], [0, 1], [-1, -1], [4, -2], [2, -3], [1, 0], [1, 1], [-6, -1], [4, 1], 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10], [24, 0], [-14, -2], [37, -1], [-7, -7], [-6, 1], [-32, -2], [36, 2], [6, 2], [36, 1], [-25, -1], [-4, 12], [-20, 6], [-8, 4], [-13, 0], [29, 5], [-23, 9], [-11, -2], [2, -7], [44, 0], [-40, 2], [-8, -12], [-14, -11], [36, -2], [5, -1], [-6, 5], [-23, -2], [8, 9], [16, 1], [46, 0], [-1, 14], [22, 6], [-23, 7], [-27, -7], [-16, -4], [-7, 15], [-17, 10], [-25, 7], [6, 12], [-32, 1], [-22, 8], [1, -9], [5, 5], [-6, 0], [-24, -6], [32, -12], [-26, 3], [-28, 12], [16, 10], [-9, 15], [22, -16], [1, -11], [6, -4], [-1, 3], [-23, 10], [41, -3], [14, 2], [1, -9], [-12, -8], [-29, 3], [36, 3], [-30, 5], [-28, -4], [-22, 17], [15, 6], [39, 8], [-26, -6], [-26, -4], [36, 0], [0, -16], [-26, -2], [-12, -8], [37, -11], [32, -1], [9, -18], [40, 8], [34, 0], [53, 2], [-34, -7], [-34, 2], [44, 3], [56, -2], [-3, 13], [-8, -2], [-2, 1], [1, -7], [20, 8], [14, -1], [-14, 23], [26, -14], [18, 9], [-50, 3], [-24, 6], [7, 13], [58, 2], [32, 4], [46, 4], [-12, 24], [-2, -11], [-54, 4], [-4, 9], [12, 18], [-28, 13], [39, 3], [-34, 0], [18, 3], [32, -4], [-67, 1], [16, 7], [-34, 10], [53, -3], [31, -13], [44, 2], [16, 15], [-22, 5], [-10, 6], [-12, 0], [12, -24], [-14, 7], [0, -12], [-18, 7], [16, 0], [2, -6], [-45, 6], [-19, -7], [36, -4], [-38, 7], [14, -9], [-8, -17], [-20, 18], [42, 3], [-18, 6], [-62, 2], [22, -20], [49, -5], [-55, 0], [-31, 7], [12, -18], [2, 1], [4, -9], [-20, 4], [9, 16], [11, 7], [-29, 22], [14, 6], [34, 4], [-34, -4], [29, -5], [15, -6], [14, 0], [58, -9], [-27, -4], [37, -7], [-23, 0], [43, 9], [-16, 8], [-34, 6], [-67, 0], [11, -1], [-60, 3], [2, 15], [-71, 1], [16, 8], [25, 9], [-30, -9], [4, 12], [-8, -8], [3, -5], [-10, 8], [-40, -4], [-20, 4], [64, -2], [-24, 9], [-2, -21], [66, -6], [23, 3], [-41, 7], [-14, 19], [-4, 25], [25, -12], [10, -17], [24, -11], [-44, -5], [8, 18], [-32, 18], [45, 3], [-43, -12], [46, -17], [6, 20], [-9, 21], [4, -14], [19, 10], [64, -9], [20, 20], [-9, 16], [7, 19], [1, 19], [-50, 12], [14, -22], [-9, 7], [22, -12], [-5, 10], [-32, 18], [-31, 2], [-7, 0], [53, -15], [37, -21], [32, -10], [-2, 16], [27, -17], [62, 2], [-58, -6], [-4, 26], [28, -22], [26, -19], [8, -6], [-29, 7], [-50, -4], [-41, -15], [16, 0], [-70, 2], [-28, -4], [-43, -9], [18, -21], [44, 5], [-10, -21], [-60, 5], [-9, 9], [-60, -6], [-10, 21], [66, 2], [-1, -1], [50, -2], [30, -26], [56, -4], [-64, 8], [-18, -6], [10, -20], [20, -16], [-38, 12], [3, 18], [42, -18], [2, 11], [-8, -9], [-41, 0], [12, 12], [-23, 15], [-28, 12], [-29, 19], [-41, 5], [85, -5], [62, -4], [-40, 0], [-15, 8], [-40, 5], [-8, -8], [1, 21], [-26, -14], [-83, -3], [12, -18], [-56, -8], [10, -15], [-10, -13], [-23, 29], [7, -5], [-48, 4], [58, 6], [85, 3], [20, -1], [-46, -12], [18, -6], [-20, 22], [-44, 9], [6, -3], [34, 6], [48, 10], [24, 0], [-29, 29], [-37, 11], [-5, 11], [18, 6], [43, 9], [-7, 14], [23, 14], [30, -5], [-48, 14], [-14, 16], [64, -3], [-26, 1], [-8, -12], [35, 14], [-52, 8], [12, -2], [-42, 5], [-38, 22], [-7, -1], [-12, -19], [-19, 26], [70, -5], [10, -17], [23, 7], [33, -15], [17, -7], [-42, -10], [46, 4], [48, -9], [27, -18], [-30, 22], [37, -17]], 'char_orbit_index': 1, 'field_poly': [-8, -1, 1], 'hecke_orbit_code': 144115188109412854, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2550.2.a.bg', 'level': 2550, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 3, 2, 4, 4, 2, 3, 5, 3, 2, 4, 4, 2, 5, 5, 1], 'Nk2': 10200, 'analytic_conductor': 20.3618525154265, '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': [2550, 1, [851, 1327, 751], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 517, 'dim': 52, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33556982, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '2550.2.a', 'level': 2550, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 564, 'mf_new_dim': 52, 'num_forms': 41, 'plus_dim': 21, 'prim_orbit_index': 1, 'relative_dim': 52, 'sturm_bound': 1080, 'trace_bound': 13, 'trace_display': [0, 2, 0, 0], 'traces': [52, 0, 2, 52, 0, -2, 0, 0, 52, 0, -8, 2, 0, -8, 0, 52, 0, 0, 8, 0, 20, 0, -8, -2, 0, 0, 2, 0, -16, 0, 24, 0, -8, -4, 0, 52, -8, 8, 28, 0, -16, -4, -8, -8, 0, -8, -16, 2, 76, 0, -2, 0, -16, -2, 0, -8, 16, 16, -40, 0, 8, -24, 0, 52, 0, 8, 32, 0, 4, 0, 8, 0, 32, 16, 0, 8, 0, 4, 8, 0, 52, 24, 24, 20, 0, 0, 8, 0, 0, 0, 48, -8, 36, 0, 0, -2, 0, 40, -8, 0, 16, 2, 32, 0, 0, 0, -24, 2, -40, 0, 24, 0, 32, -16, 0, -16, 0, -16, 8, 0, 52, 48, -20, 24, 0, -8, 16, 0, 8, 0, -24, -8, 16, -40, 0, -4, 24, -12, -8, 0, -24, -8, 0, 52, 0, 16, 50, -8, -32, 0, 56, 8, 0, 16, 0, 28, 32, 24, 28, 0, -40, 0, -24, -16, 0, 16, -56, -4, -4, 0, 8, -8, -32, -16, 0, -8, 8, 8, -48, 0, 8, -32, 0, -8, 0, 52, 0, -16, 20, 0, -16, 2, -96, 0, 0, 76, 0, 0, 72, 0, 16, 16, -8, -2, 0, -48, -8, 0, -48, 0, -40, -16, -20, 24, 0, -2, 8, 16, -36, 0, -16, -8, -16, -8, 0, -56, 8, 16, -56, 0, 64, 16, -32, 0, 0, -40, 4, 8, -48, 0, -72, -32, 2, 8, 0, -28, 16, -24, -96, 0, 0, 0, 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52, 0, -112, 24, 0, -272, 0, -40, -16, -48, -128, 0, 20, -32, -168, -176, 0, -200, 40, 136, -16, 0, -48, 160, 2, -144, 0, -116, -96, -128, 0, 0, 0, 8, -32, 336, 0, -240, 24, 8, 76, 0, 8, -88, 0, -152, 0, -304, 0, -224, -64, 0, 72, -160, 32, -32, 0, 0, 136, 16, 16, 0, 64, -120, 16, 96, 0, -40, -8, -64, -288, 0, -2, -160, -8, 48, 0, -240, -28, -16, -48, 0, 16, -216, -8, -264, 0, -80, 0, 40, -56, 0, -48, 36, 0, -104, 0, 132, 16, 52, -40, 0, 0, 64, -16, 80, 0, -72, -20, 104, 56, 0, 24, 48, 0, -96, 0, 24, 8, 16, -2, 0, 24, 2, 8, 48, 0, 304, 16, 0, 64, 0, -36, -88, -8, -76, 0, 96, 40, 32, -16, 0, 72, 136, -8, 384, 0, -8, -16, 160, 4, 0, -8, 8, -56, 520, 0, -24, 112, 48, -56, 0, -80, 88, 8, 16, 0, 520, 16, 32, 88, 0, -56, 128, 2, 56, 0, -8, -48, -16, 64, 0, 96, 32, 16, 128, 0, 168, -32, 20, 168, 0, 0, -32, -32, 20, 0, 288, -36, 80, -40, 0, -112, 40, 4, 144, 0, -80, 8, -96, 0, 0, -48, -96, -8, 208, 0, 124, 112, -24, -72, 0, -48, 32, -32, 48, 0, -200, 2, 80, -120, 0, 8, 248, 64, 352, 0, -40, -120, 152, -28, 0, 16, -176, 16, 64, 0, 232, -24, -24, 56, 0, -96, 152, 88, 24, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 962961
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '2550.2.a.bg', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': True, 'target_label': '2550.2.a.bg', 'target_level': 2550, 'twist_class_label': '2550.2.a.bg', 'twist_class_level': 2550, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 962962
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '2550.2.a.bg', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': True, 'target_label': '2550.2.a.bm', 'target_level': 2550, 'twist_class_label': '2550.2.a.bg', 'twist_class_level': 2550, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 962963
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '2550.2.a.bg', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2550.2.d.v', 'target_level': 2550, 'twist_class_label': '2550.2.a.bg', 'twist_class_level': 2550, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 962964
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '2550.2.a.bg', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 74, 'target_is_minimal': False, 'target_label': '7650.2.a.cv', 'target_level': 7650, 'twist_class_label': '2550.2.a.bg', 'twist_class_level': 2550, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 962965
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '2550.2.a.bg', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 84, 'target_is_minimal': False, 'target_label': '7650.2.a.df', 'target_level': 7650, 'twist_class_label': '2550.2.a.bg', 'twist_class_level': 2550, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2724100
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 144115188109412854, 'p': 2}
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id: 2724101
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 144115188109412854, 'p': 3}
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id: 2724102
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188109412854, 'p': 5}
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id: 2724103
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 7}
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id: 2724104
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 11}
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id: 2724105
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 144115188109412854, 'p': 13}
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id: 2724106
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 144115188109412854, 'p': 17}
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id: 2724107
{'charpoly_factorization': [[[-8, -1, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 19}
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id: 2724108
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 23}
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id: 2724109
{'charpoly_factorization': [[[-24, -6, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 29}
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id: 2724110
{'charpoly_factorization': [[[-74, -1, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 31}
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id: 2724111
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 144115188109412854, 'p': 37}
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id: 2724112
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 41}
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id: 2724113
{'charpoly_factorization': [[[34, 13, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 43}
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id: 2724114
{'charpoly_factorization': [[[12, -9, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 47}
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id: 2724115
{'charpoly_factorization': [[[-33, 0, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 53}
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id: 2724116
{'charpoly_factorization': [[[-72, -3, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 59}
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id: 2724117
{'charpoly_factorization': [[[-74, -1, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 61}
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id: 2724118
{'charpoly_factorization': [[[-2, -5, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 67}
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id: 2724119
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 71}
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id: 2724120
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 144115188109412854, 'p': 73}
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id: 2724121
{'charpoly_factorization': [[[-68, 5, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 79}
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id: 2724122
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 83}
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id: 2724123
{'charpoly_factorization': [[[-24, -6, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 89}
-
id: 2724124
{'charpoly_factorization': [[[16, -14, 1], 1]], 'hecke_orbit_code': 144115188109412854, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '2550.2.a.bg', 'level': 2550, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69013171
{'hecke_orbit_code': 144115188109412854, 'n': 1, 'trace_an': 2}
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id: 69013172
{'hecke_orbit_code': 144115188109412854, 'n': 2, 'trace_an': -2}
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id: 69013173
{'hecke_orbit_code': 144115188109412854, 'n': 3, 'trace_an': -2}
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id: 69013174
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