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{'Nk2': 33800, 'analytic_conductor': 67.47358970798193, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [13, 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': [8450, 1, [677, 3551], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[3, [0, 1]], [7, [4, 1]], [11, [-4, 1]], [17, [3, 1]], [31, [-4, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170415362, 'hecke_ring_generator_nbound': 1, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8450.2.a.f', 'level': 8450, '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, 13], 'level_radical': 130, 'minimal_twist': '26.2.c.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-4q^{7}-q^{8}-3q^{9}+4q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/8450/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8450.2.a', 'trace_display': [-1, 0, 0, -4], 'trace_hash': 1116233755043342747, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [0], [1], [0], [0], [-4], [-1], [-3], [0], [4], [0], [0], [4], [0], [1], [-3], [3], [0], [0], [0], [-4], [4], [0], [0], [0], [0], [-4], [-1], [0], [4], [-1], [0], [3], [0], [-3], [-3], [0], [0], [0], [-9], [0], [8], [4], [0], [-4], [8], [0], [9], [0], [0], [0], [9], [0], [0], [4], [0], [1], [-4], [0], [7], [-4], [12], [1], [0], [0], [-4], [-3], [0], [0], [-8], [3], [-11], [3], [0], [0], [-16], [0], [-4], [0], [9], [9], [0], [0], [0], [-8], [0], [-4], [-6], [0], [0], [4], [0], [-8], [0], [0], [-2], [-9], [-12], [0]], 'ap': [[-1], [0], [0], [-4], [4], [0], [-3], [0], [4], [-1], [4], [-3], [-9], [8], [8], [9], [-4], [7], [-4], [-8], [-11], [-4], [0], [-6], [-2], [7], [8], [4], [-2], [1], [8], [20], [9], [16], [15], [12], [-11], [-8], [-12], [-14], [-24], [-21], [-20], [-11], [-6], [-4], [20], [-12], [-24], [6], [-10], [-12], [3], [-12], [-15], [24], [-18], [-20], [9], [-5], [-28], [5], [28], [-24], [22], [-3], [8], [-23], [-12], [-2], [-7], [24], [28], [13], [-8], [0], [-9], [-14], [3], [31], [12], [-5], [-24], [5], [8], [-24], [34], [-31], [-33], [-16], [-20], [0], [16], [-8], [-32], [-16], [43], [39], [-36], [-25], [-16], [-39], [4], [10], [12], [-39], [16], [1], [-44], [19], [0], [-11], [29], [4], [-8], [19], [-44], [-28], [18], [48], [-49], [29], [-6], [44], [-20], [30], [-13], [-28], [-28], [1], [-24], [8], [24], [-6], [42], [-30], [-38], [4], [-30], [39], [-28], [38], [-12], [12], [7], [-40], [-7], [17], [20], [-52], [-15], [-9], [-16], [20], [24], [-12], [-48], [-21], [21], [46], [-24], [22], [40], [0], [45], [52], [-24], [25], [2], [1], [12], [-33], [-20], [-19], [-24], [-5], [20], [19], [44], [-34], [-24], [-56], [5], [22], [-4], [31], [2], [-60], [-25], [24], [-7], [36], [-32], [-34], [44], [-42], [47], [-43], [49], [8], [-9], [44], [13], [-17], [-44], [-63], [-8], [-36], [27], [-60], [-59], [-42], [-20], [56], [24], [55], [-40], [59], [32], [-30], [31], [-28], [3], [20], [72], [-61], [13], [12], [-28], [-60], [17], [-56], [48], [19], [28], [-32], [-14], [53], [48], [-16], [-60], [-20], [-24], [-25], [-23], [-36], [40], [28], [-16], [36], [-62], [50], [44], [-37], [-46], [64], [54], [28], [42], [-7], [44], [36], [-73], [65], [-3], [-56], [-50], [35], [-48], [9], [55], [44], [21], [-76], [-2], [-36], [-8], [-9], [43], [0], [-56], [60], [-56], [47], [-48], [52], [37], [-23], [-4], [23], [-66], [4], [-3], [-40], [50], [39], [-36], [-47], [-20], [16], [49], [25], [60], [40], [-20], [85], [44], [-21], [52], [-3], [0], [-10], [3], [-4], [-20], [59], [-12], [-16], [-2], [-1], [32], [-10], [51], [64], [-26], [43], [-32], [84], [-52], [85], [-53], [-47], [-16], [-24], [32], [28], [83], [-50], [51], [-20], [-54], [57], [7], [-8], [34], [16], [-17], [-8], [68], [42], [-8], [38], [27], [-80], [-81], [21], [0], [-60], [-3], [12], [-55], [-69], [-32], [80], [28], [-10], [-30], [44], [-33], [12], [28], [4], [51], [0], [-15], [-24], [-36], [46], [35], [89], [-66], [1], [-72], [-82], [16], [-84], [96], [10], [4], [40], [-57], [41], [96], [-8], [-48], [86], [-84], [-70], [-12], [-45], [-98], [46], [32], [-55], [-81], [-28], [-46], [27], [80], [-48], [-55], [-3], [-104], [64], [-83], [27], [36], [80], [30], [84], [11], [29], [-48], [0], [-26], [53], [-80], [51], [52], [-32]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998170415362, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8450.2.a.f', 'level': 8450, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [24, 33, 34, 31, 35, 24, 27, 37], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [20, 21, 21, 21, 21, 21, 21, 21], 'ALdims_old': [129, 134, 132, 123, 128, 133, 129, 128], 'Nk2': 33800, 'analytic_conductor': 67.47358970798193, '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': [8450, 1, [677, 3551], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1281, 'dim': 245, 'eis_dim': 167, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 17, 31], 'hecke_orbit_code': 33562882, '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, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], 'label': '8450.2.a', 'level': 8450, '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, 13], 'level_radical': 130, 'mf_dim': 1448, 'mf_new_dim': 245, 'num_forms': 79, 'plus_dim': 106, 'prim_orbit_index': 1, 'relative_dim': 245, 'sturm_bound': 2730, 'trace_bound': 17, 'trace_display': [1, -2, 0, -8], 'traces': [245, 1, -2, 245, 0, -2, -8, 1, 245, 0, 2, -2, 0, 0, 0, 245, -10, 5, -2, 0, -16, -6, 8, -2, 0, 0, -8, -8, -8, 0, -20, 1, 20, 4, 0, 245, 2, -2, 0, 0, 8, -12, -10, 2, 0, -8, 0, -2, 225, 0, 70, 0, 28, -2, 0, 0, -8, 2, 36, 0, -16, 0, 0, 245, 0, 14, 0, -10, 72, 0, 24, 5, 2, 8, 0, -2, 36, 0, 0, 0, 317, 22, 24, -16, 0, -8, 28, -6, 28, 0, 0, 8, -32, 16, 0, -2, 6, -7, 40, 0, -4, 4, -52, 0, 0, 18, 38, -8, -14, 0, -20, -8, -18, 14, 0, -8, 0, -2, 28, 0, 313, -18, 32, -20, 0, 28, 108, 1, 108, 0, 46, 20, 68, 12, 0, 4, -18, 36, 124, 0, 36, -12, 0, 245, 0, 0, 138, 2, 18, 0, 28, -2, -6, 40, 0, 0, 84, -20, 32, 0, 12, 17, 16, 8, 0, 32, 24, -12, 0, 0, 24, -10, -70, 28, 0, 2, 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mf_twists_nf • Show schema
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id: 1391609
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '26.2.c.a', 'target_level': 26, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1391610
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '208.2.i.b', 'target_level': 208, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '260.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1391611
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '234.2.h.c', 'target_level': 234, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '195.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 1391612
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '338.2.a.c', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1391613
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '338.2.a.e', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1391614
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '338.2.b.b', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1391615
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '338.2.c.e', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1391616
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '338.2.e.b', 'target_level': 338, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1391617
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '650.2.e.c', 'target_level': 650, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1391618
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '650.2.o.c', 'target_level': 650, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1391619
{'conductor': 520, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '832.2.i.e', 'target_level': 832, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '520.bv', 'twisting_char_orbit': 48, 'weight': 2}
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id: 1391620
{'conductor': 520, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '832.2.i.f', 'target_level': 832, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '520.bx', 'twisting_char_orbit': 50, 'weight': 2}
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id: 1391621
{'conductor': 455, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1274.2.e.m', 'target_level': 1274, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '455.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 1391622
{'conductor': 455, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1274.2.e.n', 'target_level': 1274, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '455.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 1391623
{'conductor': 455, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1274.2.g.a', 'target_level': 1274, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '455.bp', 'twisting_char_orbit': 42, 'weight': 2}
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id: 1391624
{'conductor': 455, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1274.2.h.a', 'target_level': 1274, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '455.bw', 'twisting_char_orbit': 49, 'weight': 2}
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id: 1391625
{'conductor': 455, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1274.2.h.b', 'target_level': 1274, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '455.bm', 'twisting_char_orbit': 39, 'weight': 2}
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id: 1391626
{'conductor': 780, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1872.2.t.k', 'target_level': 1872, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '780.br', 'twisting_char_orbit': 44, 'weight': 2}
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id: 1391627
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2704.2.a.h', 'target_level': 2704, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1391628
{'conductor': 260, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2704.2.a.i', 'target_level': 2704, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '260.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1391629
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2704.2.f.g', 'target_level': 2704, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '260.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1391630
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3042.2.a.e', 'target_level': 3042, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1391631
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3042.2.a.k', 'target_level': 3042, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1391632
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3042.2.b.e', 'target_level': 3042, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '195.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1391633
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '8450.2.a.f', 'target_level': 8450, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1391634
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '8450.2.a.f', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '8450.2.a.s', 'target_level': 8450, 'twist_class_label': '26.2.c.a', 'twist_class_level': 26, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4757375
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 2}
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id: 4757376
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 3}
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id: 4757377
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 5}
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id: 4757378
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 7}
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id: 4757379
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 11}
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id: 4757380
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 13}
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id: 4757381
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 17}
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id: 4757382
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 19}
-
id: 4757383
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 23}
-
id: 4757384
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 29}
-
id: 4757385
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 31}
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id: 4757386
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 37}
-
id: 4757387
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 41}
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id: 4757388
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 43}
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id: 4757389
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 47}
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id: 4757390
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 53}
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id: 4757391
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 59}
-
id: 4757392
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 61}
-
id: 4757393
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 67}
-
id: 4757394
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 71}
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id: 4757395
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 73}
-
id: 4757396
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 79}
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id: 4757397
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 83}
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id: 4757398
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 89}
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id: 4757399
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170415362, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '8450.2.a.f', 'level': 8450, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 43149445
{'hecke_orbit_code': 22517998170415362, 'n': 1, 'trace_an': 1}
-
id: 43149446
{'hecke_orbit_code': 22517998170415362, 'n': 2, 'trace_an': -1}
-
id: 43149447
{'hecke_orbit_code': 22517998170415362, 'n': 3, 'trace_an': 0}
-
id: 43149448
{'hecke_orbit_code': 22517998170415362, 'n': 4, 'trace_an': 1}
-
id: 43149449
{'hecke_orbit_code': 22517998170415362, 'n': 5, 'trace_an': 0}
-
id: 43149450
{'hecke_orbit_code': 22517998170415362, 'n': 6, 'trace_an': 0}
-
id: 43149451
{'hecke_orbit_code': 22517998170415362, 'n': 7, 'trace_an': -4}
-
id: 43149452
{'hecke_orbit_code': 22517998170415362, 'n': 8, 'trace_an': -1}
-
id: 43149453
{'hecke_orbit_code': 22517998170415362, 'n': 9, 'trace_an': -3}
-
id: 43149454
{'hecke_orbit_code': 22517998170415362, 'n': 10, 'trace_an': 0}
-
id: 43149455
{'hecke_orbit_code': 22517998170415362, 'n': 11, 'trace_an': 4}
-
id: 43149456
{'hecke_orbit_code': 22517998170415362, 'n': 12, 'trace_an': 0}
-
id: 43149457
{'hecke_orbit_code': 22517998170415362, 'n': 13, 'trace_an': 0}
-
id: 43149458
{'hecke_orbit_code': 22517998170415362, 'n': 14, 'trace_an': 4}
-
id: 43149459
{'hecke_orbit_code': 22517998170415362, 'n': 15, 'trace_an': 0}
-
id: 43149460
{'hecke_orbit_code': 22517998170415362, 'n': 16, 'trace_an': 1}
-
id: 43149461
{'hecke_orbit_code': 22517998170415362, 'n': 17, 'trace_an': -3}
-
id: 43149462
{'hecke_orbit_code': 22517998170415362, 'n': 18, 'trace_an': 3}
-
id: 43149463
{'hecke_orbit_code': 22517998170415362, 'n': 19, 'trace_an': 0}
-
id: 43149464
{'hecke_orbit_code': 22517998170415362, 'n': 20, 'trace_an': 0}
-
id: 43149465
{'hecke_orbit_code': 22517998170415362, 'n': 21, 'trace_an': 0}
-
id: 43149466
{'hecke_orbit_code': 22517998170415362, 'n': 22, 'trace_an': -4}
-
id: 43149467
{'hecke_orbit_code': 22517998170415362, 'n': 23, 'trace_an': 4}
-
id: 43149468
{'hecke_orbit_code': 22517998170415362, 'n': 24, 'trace_an': 0}
-
id: 43149469
{'hecke_orbit_code': 22517998170415362, 'n': 25, 'trace_an': 0}
-
id: 43149470
{'hecke_orbit_code': 22517998170415362, 'n': 26, 'trace_an': 0}
-
id: 43149471
{'hecke_orbit_code': 22517998170415362, 'n': 27, 'trace_an': 0}
-
id: 43149472
{'hecke_orbit_code': 22517998170415362, 'n': 28, 'trace_an': -4}
-
id: 43149473
{'hecke_orbit_code': 22517998170415362, 'n': 29, 'trace_an': -1}
-
id: 43149474
{'hecke_orbit_code': 22517998170415362, 'n': 30, 'trace_an': 0}
-
id: 43149475
{'hecke_orbit_code': 22517998170415362, 'n': 31, 'trace_an': 4}
-
id: 43149476
{'hecke_orbit_code': 22517998170415362, 'n': 32, 'trace_an': -1}
-
id: 43149477
{'hecke_orbit_code': 22517998170415362, 'n': 33, 'trace_an': 0}
-
id: 43149478
{'hecke_orbit_code': 22517998170415362, 'n': 34, 'trace_an': 3}
-
id: 43149479
{'hecke_orbit_code': 22517998170415362, 'n': 35, 'trace_an': 0}
-
id: 43149480
{'hecke_orbit_code': 22517998170415362, 'n': 36, 'trace_an': -3}
-
id: 43149481
{'hecke_orbit_code': 22517998170415362, 'n': 37, 'trace_an': -3}
-
id: 43149482
{'hecke_orbit_code': 22517998170415362, 'n': 38, 'trace_an': 0}
-
id: 43149483
{'hecke_orbit_code': 22517998170415362, 'n': 39, 'trace_an': 0}
-
id: 43149484
{'hecke_orbit_code': 22517998170415362, 'n': 40, 'trace_an': 0}
-
id: 43149485
{'hecke_orbit_code': 22517998170415362, 'n': 41, 'trace_an': -9}
-
id: 43149486
{'hecke_orbit_code': 22517998170415362, 'n': 42, 'trace_an': 0}
-
id: 43149487
{'hecke_orbit_code': 22517998170415362, 'n': 43, 'trace_an': 8}
-
id: 43149488
{'hecke_orbit_code': 22517998170415362, 'n': 44, 'trace_an': 4}
-
id: 43149489
{'hecke_orbit_code': 22517998170415362, 'n': 45, 'trace_an': 0}
-
id: 43149490
{'hecke_orbit_code': 22517998170415362, 'n': 46, 'trace_an': -4}
-
id: 43149491
{'hecke_orbit_code': 22517998170415362, 'n': 47, 'trace_an': 8}
-
id: 43149492
{'hecke_orbit_code': 22517998170415362, 'n': 48, 'trace_an': 0}
-
id: 43149493
{'hecke_orbit_code': 22517998170415362, 'n': 49, 'trace_an': 9}
-
id: 43149494
{'hecke_orbit_code': 22517998170415362, 'n': 50, 'trace_an': 0}
-
id: 43149495
{'hecke_orbit_code': 22517998170415362, 'n': 51, 'trace_an': 0}
-
id: 43149496
{'hecke_orbit_code': 22517998170415362, 'n': 52, 'trace_an': 0}
-
id: 43149497
{'hecke_orbit_code': 22517998170415362, 'n': 53, 'trace_an': 9}
-
id: 43149498
{'hecke_orbit_code': 22517998170415362, 'n': 54, 'trace_an': 0}
-
id: 43149499
{'hecke_orbit_code': 22517998170415362, 'n': 55, 'trace_an': 0}
-
id: 43149500
{'hecke_orbit_code': 22517998170415362, 'n': 56, 'trace_an': 4}
-
id: 43149501
{'hecke_orbit_code': 22517998170415362, 'n': 57, 'trace_an': 0}
-
id: 43149502
{'hecke_orbit_code': 22517998170415362, 'n': 58, 'trace_an': 1}
-
id: 43149503
{'hecke_orbit_code': 22517998170415362, 'n': 59, 'trace_an': -4}
-
id: 43149504
{'hecke_orbit_code': 22517998170415362, 'n': 60, 'trace_an': 0}
-
id: 43149505
{'hecke_orbit_code': 22517998170415362, 'n': 61, 'trace_an': 7}
-
id: 43149506
{'hecke_orbit_code': 22517998170415362, 'n': 62, 'trace_an': -4}
-
id: 43149507
{'hecke_orbit_code': 22517998170415362, 'n': 63, 'trace_an': 12}
-
id: 43149508
{'hecke_orbit_code': 22517998170415362, 'n': 64, 'trace_an': 1}
-
id: 43149509
{'hecke_orbit_code': 22517998170415362, 'n': 65, 'trace_an': 0}
-
id: 43149510
{'hecke_orbit_code': 22517998170415362, 'n': 66, 'trace_an': 0}
-
id: 43149511
{'hecke_orbit_code': 22517998170415362, 'n': 67, 'trace_an': -4}
-
id: 43149512
{'hecke_orbit_code': 22517998170415362, 'n': 68, 'trace_an': -3}
-
id: 43149513
{'hecke_orbit_code': 22517998170415362, 'n': 69, 'trace_an': 0}
-
id: 43149514
{'hecke_orbit_code': 22517998170415362, 'n': 70, 'trace_an': 0}
-
id: 43149515
{'hecke_orbit_code': 22517998170415362, 'n': 71, 'trace_an': -8}
-
id: 43149516
{'hecke_orbit_code': 22517998170415362, 'n': 72, 'trace_an': 3}
-
id: 43149517
{'hecke_orbit_code': 22517998170415362, 'n': 73, 'trace_an': -11}
-
id: 43149518
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