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{'Nk2': 5600, 'analytic_conductor': 11.179056282979253, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [7, -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': [1400, 1, [351, 701, 1177, 801], [1, 1, 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]], [11, [4, 1]], [13, [2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797778808, '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': '1400.2.a.g', 'level': 1400, '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': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{7}-3q^{9}-4q^{11}-2q^{13}+6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/1400/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1400.2.a', 'trace_display': [0, 0, 0, 1], 'trace_hash': 1225699396349841627, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [1], [0], [-3], [0], [-4], [0], [-2], [0], [0], [0], [6], [0], [8], [0], [0], [0], [0], [0], [0], [0], [0], [0], [6], [0], [8], [0], [0], [0], [0], [0], [2], [0], [0], [0], [2], [0], [4], [0], [0], [0], [8], [0], [1], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [0], [0], [-6], [0], [-3], [0], [0], [0], [4], [0], [0], [0], [-8], [0], [-10], [0], [0], [0], [-4], [0], [16], [0], [9], [0], [-8], [0], [0], [0], [0], [0], [-6], [0], [-2], [0], [0], [0], [0], [0], [6], [0], [12], [0]], 'ap': [[0], [0], [0], [1], [-4], [-2], [6], [8], [0], [6], [8], [2], [2], [4], [8], [-6], [0], [-6], [4], [-8], [-10], [16], [-8], [-6], [6], [2], [16], [12], [-10], [-2], [8], [8], [6], [-8], [6], [0], [-18], [12], [-16], [-18], [-4], [10], [-16], [14], [-6], [0], [12], [0], [8], [10], [22], [8], [10], [24], [-2], [-24], [-14], [0], [-22], [-6], [-16], [-18], [8], [8], [14], [-30], [-4], [-2], [-12], [-30], [14], [0], [-16], [26], [-4], [24], [-2], [14], [18], [-14], [-16], [-26], [-8], [-10], [24], [-36], [34], [38], [-30], [16], [8], [-24], [16], [-12], [-4], [-40], [34], [18], [32], [14], [-36], [-14], [-32], [26], [28], [14], [24], [-34], [-24], [26], [-32], [18], [38], [-32], [24], [-30], [-16], [32], [26], [-12], [2], [14], [6], [-36], [-8], [-42], [30], [8], [-16], [-26], [52], [-32], [-8], [2], [-30], [-22], [-50], [40], [30], [26], [16], [-10], [-24], [28], [26], [-48], [-26], [-18], [-40], [-16], [-6], [18], [20], [16], [28], [24], [-40], [10], [-10], [-54], [-52], [6], [16], [48], [-2], [0], [-16], [14], [2], [6], [-60], [-14], [24], [22], [40], [42], [4], [46], [24], [-22], [56], [-48], [-14], [6], [40], [-54], [18], [8], [-38], [-40], [-50], [-4], [-20], [18], [36], [6], [2], [-6], [-2], [24], [-2], [8], [-66], [-30], [32], [-58], [24], [28], [-6], [24], [-50], [18], [64], [-48], [-24], [-46], [-48], [-6], [24], [-22], [62], [-8], [-62], [-72], [56], [-18], [6], [56], [8], [28], [-38], [0], [-64], [10], [-16], [64], [26], [-38], [-60], [8], [28], [-16], [-56], [-34], [-18], [-48], [-32], [-56], [76], [0], [50], [18], [-40], [-22], [54], [-36], [-50], [40], [-2], [-18], [8], [-36], [34], [70], [-58], [64], [-34], [-70], [-36], [-14], [-14], [60], [-74], [-8], [-18], [-56], [4], [-2], [58], [72], [0], [40], [-16], [-46], [-48], [-40], [46], [-22], [-16], [82], [30], [24], [-10], [48], [-46], [34], [16], [54], [-40], [64], [-66], [74], [-16], [12], [-4], [14], [68], [58], [48], [-38], [-48], [46], [-46], [-4], [24], [10], [64], [0], [-34], [50], [32], [86], [58], [-64], [38], [-86], [-28], [-32], [-72], [34], [14], [-22], [40], [-32], [52], [80], [-90], [78], [-38], [-8], [10], [6], [-6], [-56], [-22], [-44], [-38], [-12], [-16], [62], [-96], [-42], [94], [24], [-10], [86], [40], [48], [-18], [32], [-54], [-22], [-40], [-76], [-88], [-90], [-18], [-16], [42], [-36], [-40], [32], [38], [8], [-14], [72], [24], [-66], [42], [14], [66], [6], [-24], [30], [48], [24], [16], [78], [-4], [-88], [-46], [-2], [-12], [-32], [-32], [54], [-88], [-14], [-44], [-34], [58], [30], [48], [-82], [-22], [16], [18], [-30], [32], [-48], [46], [-78], [36], [12], [-74], [98], [-32], [32], [-42], [-72], [-90], [-82], [-96], [40], [30], [-26], [28], [90], [-24], [-96]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797778808, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1400.2.a.g', 'level': 1400, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 5, 4, 2, 3, 2, 3, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [18, 28, 27, 21, 24, 25, 26, 20], 'Nk2': 5600, 'analytic_conductor': 11.179056282979253, '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': [1400, 1, [351, 701, 1177, 801], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 217, 'dim': 28, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13], 'hecke_orbit_code': 33555832, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3], 'label': '1400.2.a', 'level': 1400, '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': 264, 'mf_new_dim': 28, 'num_forms': 20, 'plus_dim': 11, 'prim_orbit_index': 1, 'relative_dim': 28, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [0, 2, 0, 0], 'traces': [28, 0, 2, 0, 0, 0, 0, 0, 20, 0, 8, 0, -2, 0, 0, 0, -4, 0, 6, 0, -2, 0, 0, 0, 0, 0, 20, 0, 12, 0, -4, 0, -24, 0, 0, 0, 12, 0, 0, 0, 16, 0, 4, 0, 0, 0, -4, 0, 28, 0, 56, 0, 24, 0, 0, 0, 12, 0, 18, 0, 38, 0, -4, 0, 0, 0, 32, 0, 8, 0, -8, 0, -8, 0, 0, 0, 4, 0, -16, 0, 0, 0, -26, 0, 0, 0, 12, 0, 4, 0, 10, 0, 32, 0, 0, 0, -36, 0, 44, 0, -66, 0, 44, 0, 0, 0, -24, 0, -44, 0, -44, 0, -12, 0, 0, 0, 62, 0, -4, 0, 16, 0, -76, 0, 0, 0, -16, 0, 8, 0, -6, 0, 14, 0, 0, 0, 0, 0, -38, 0, 56, 0, -64, 0, 0, 0, 2, 0, -48, 0, 16, 0, -20, 0, 0, 0, -10, 0, 20, 0, -8, 0, 28, 0, 0, 0, -28, 0, 32, 0, 34, 0, -42, 0, 0, 0, -4, 0, -4, 0, -78, 0, 64, 0, 0, 0, -48, 0, 4, 0, 72, 0, 12, 0, 0, 0, 32, 0, 36, 0, -20, 0, -20, 0, 0, 0, -32, 0, -108, 0, -12, 0, 16, 0, 0, 0, -12, 0, 64, 0, -92, 0, 48, 0, 0, 0, 22, 0, 50, 0, 24, 0, 56, 0, 0, 0, -8, 0, -16, 0, 48, 0, 142, 0, 0, 0, 64, 0, -96, 0, -38, 0, -32, 0, 0, 0, -16, 0, 4, 0, 84, 0, -16, 0, 0, 0, -44, 0, -6, 0, -64, 0, 24, 0, 0, 0, -64, 0, -148, 0, -40, 0, 22, 0, 0, 0, 20, 0, 112, 0, -156, 0, -78, 0, 0, 0, -8, 0, 40, 0, -12, 0, -104, 0, 0, 0, 54, 0, 0, 0, -152, 0, -92, 0, 0, 0, -80, 0, 32, 0, -100, 0, 60, 0, 0, 0, -20, 0, 4, 0, 40, 0, 36, 0, 0, 0, -36, 0, -208, 0, 104, 0, 0, 0, 0, 0, 12, 0, 26, 0, 32, 0, 72, 0, 0, 0, -36, 0, 0, 0, -68, 0, -30, 0, 0, 0, 0, 0, 12, 0, 32, 0, 88, 0, 0, 0, 76, 0, 24, 0, -80, 0, 36, 0, 0, 0, -4, 0, -76, 0, -80, 0, -12, 0, 0, 0, 6, 0, 36, 0, -120, 0, -72, 0, 0, 0, 40, 0, -48, 0, -88, 0, 30, 0, 0, 0, 28, 0, -230, 0, 144, 0, -108, 0, 0, 0, 10, 0, 16, 0, 80, 0, -36, 0, 0, 0, -64, 0, -24, 0, 20, 0, -48, 0, 0, 0, -180, 0, -44, 0, 108, 0, -184, 0, 0, 0, -12, 0, 52, 0, -46, 0, 80, 0, 0, 0, -66, 0, 24, 0, -32, 0, 72, 0, 0, 0, -8, 0, -44, 0, 148, 0, -32, 0, 0, 0, -48, 0, -116, 0, -8, 0, 88, 0, 0, 0, 16, 0, 144, 0, -160, 0, 64, 0, 0, 0, -2, 0, -22, 0, 40, 0, 160, 0, 0, 0, 40, 0, 32, 0, -40, 0, 134, 0, 0, 0, 112, 0, 116, 0, -158, 0, -60, 0, 0, 0, 136, 0, 8, 0, -32, 0, -128, 0, 0, 0, -28, 0, 22, 0, -20, 0, 48, 0, 0, 0, 40, 0, 192, 0, 108, 0, -38, 0, 0, 0, 52, 0, 0, 0, 196, 0, -136, 0, 0, 0, 24, 0, 120, 0, -22, 0, -96, 0, 0, 0, 26, 0, 56, 0, 68, 0, -64, 0, 0, 0, -48, 0, -112, 0, -20, 0, 40, 0, 0, 0, -24, 0, 12, 0, 72, 0, 116, 0, 0, 0, 76, 0, 82, 0, 160, 0, -16, 0, 0, 0, 136, 0, 0, 0, 24, 0, 0, 0, 0, 0, -2, 0, -32, 0, -44, 0, -78, 0, 0, 0, 60, 0, -104, 0, 40, 0, 12, 0, 0, 0, 48, 0, 152, 0, 54, 0, 216, 0, 0, 0, -64, 0, 96, 0, -24, 0, -64, 0, 0, 0, 62, 0, -36, 0, -68, 0, -136, 0, 0, 0, 112, 0, 92, 0, -98, 0, 84, 0, 0, 0, -88, 0, -164, 0, 100, 0, -36, 0, 0, 0, -30, 0, 156, 0, 160, 0, -80, 0, 0, 0, 8, 0, 44, 0, 52, 0, -20, 0, 0, 0, -76, 0, 116, 0, 40, 0, -38, 0, 0, 0, -8, 0, 4, 0, 248, 0, 80, 0, 0, 0, -106, 0, -32, 0, 232, 0, 76, 0, 0, 0, 60, 0, -8, 0, 336, 0, -28, 0, 0, 0, -48, 0, 112, 0, -28, 0, 2, 0, 0, 0, -44, 0, 56, 0, 16, 0, 128, 0, 0, 0, 14, 0, 128, 0, 92, 0, 20, 0, 0, 0, 6, 0, 24, 0, -120, 0, 200, 0, 0, 0, 168, 0, -84, 0, 98, 0, -128, 0, 0, 0, -32, 0, 26, 0, 88, 0, -24, 0, 0, 0, -112, 0, -58, 0, -20, 0, -4, 0, 0, 0, -120, 0, 236, 0, -44, 0, -52, 0, 0, 0, 48, 0, -104, 0, -88, 0, 62, 0, 0, 0, -108, 0, 98, 0, -28, 0, -144, 0, 0, 0, 270, 0, 168, 0, 152, 0, -260, 0, 0, 0, 100, 0, -120, 0, -24, 0, 80, 0, 0, 0, 84, 0, 32, 0, -8, 0, -16, 0, 0, 0, 0, 0, -112, 0, -40, 0, -72, 0, 0, 0, 160, 0, -266, 0, -168, 0, 16, 0, 0, 0, -26, 0, 136, 0, 0, 0, -16, 0, 0, 0, -60, 0, -100, 0, 6, 0, -8, 0, 0, 0, -96, 0, -188, 0, -82, 0, 144, 0, 0, 0, -36, 0, -52, 0, -292, 0, -64, 0, 0, 0, 40, 0, -24, 0, -20, 0, -144, 0, 0, 0, -40, 0, -116, 0, -138, 0, -6, 0, 0, 0, -8, 0, -92, 0, -116, 0, 28, 0, 0, 0, -56, 0, 72, 0, 120, 0, -48, 0, 0, 0, 82, 0, -56, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 725881
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 725882
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 725883
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 725884
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 725885
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 725886
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 725887
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 725888
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 725889
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 725890
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 725891
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '140.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 725892
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 725893
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 725894
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 725895
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 725896
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 725897
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 725898
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 725899
{'conductor': 280, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 725900
{'conductor': 280, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 725901
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 725902
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 725903
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 725904
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 725905
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 725906
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 725907
{'conductor': 420, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '420.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 725908
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 725909
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1400.2.a.g', 'source_level': 1400, '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': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1920200
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 2}
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id: 1920201
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 3}
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id: 1920202
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 5}
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id: 1920203
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 7}
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id: 1920204
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 11}
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id: 1920205
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 13}
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id: 1920206
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 17}
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id: 1920207
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 19}
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id: 1920208
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 23}
-
id: 1920209
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 29}
-
id: 1920210
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 31}
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id: 1920211
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 37}
-
id: 1920212
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 41}
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id: 1920213
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 43}
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id: 1920214
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 47}
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id: 1920215
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 53}
-
id: 1920216
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 59}
-
id: 1920217
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 61}
-
id: 1920218
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 67}
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id: 1920219
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 71}
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id: 1920220
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 73}
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id: 1920221
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 79}
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id: 1920222
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 83}
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id: 1920223
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 89}
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id: 1920224
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797778808, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '1400.2.a.g', 'level': 1400, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 45171133
{'hecke_orbit_code': 27021597797778808, 'n': 1, 'trace_an': 1}
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id: 45171134
{'hecke_orbit_code': 27021597797778808, 'n': 2, 'trace_an': 0}
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id: 45171135
{'hecke_orbit_code': 27021597797778808, 'n': 3, 'trace_an': 0}
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id: 45171136
{'hecke_orbit_code': 27021597797778808, 'n': 4, 'trace_an': 0}
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id: 45171137
{'hecke_orbit_code': 27021597797778808, 'n': 5, 'trace_an': 0}
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id: 45171138
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