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{'Nk2': 29952, 'analytic_conductor': 59.79198103353475, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [13, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7488, 1, [703, 6085, 5825, 5761], [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': [[5, [-1, 1]], [7, [3, 1]], [11, [2, 1]], [17, [-3, 1]], [19, [-2, 1]], [29, [-2, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364158784, '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': '7488.2.a.bi', 'level': 7488, '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, 13], 'level_radical': 78, 'minimal_twist': '416.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-3q^{7}-2q^{11}-q^{13}+3q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/7488/bi'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7488.2.a', 'trace_display': [0, 0, 1, -3], 'trace_hash': 251651753419011429, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.988', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [1], [0], [-3], [0], [0], [0], [-2], [0], [-1], [0], [0], [0], [3], [0], [2], [0], [0], [0], [4], [0], [-4], [0], [0], [0], [2], [0], [-4], [0], [0], [0], [-3], [0], [-5], [0], [0], [0], [12], [0], [7], [0], [0], [0], [-9], [0], [2], [0], [0], [0], [4], [0], [-2], [0], [0], [0], [-6], [0], [4], [0], [0], [0], [-1], [0], [-10], [0], [0], [0], [-15], [0], [-2], [0], [0], [0], [6], [0], [8], [0], [0], [0], [4], [0], [3], [0], [0], [0], [-2], [0], [3], [0], [0], [0], [2], [0], [10], [0], [0], [0]], 'ap': [[0], [0], [1], [-3], [-2], [-1], [3], [2], [4], [2], [-4], [-5], [12], [7], [-9], [4], [-6], [4], [-10], [-15], [-2], [8], [4], [-2], [10], [4], [-4], [12], [19], [6], [-16], [21], [4], [19], [-6], [-5], [22], [20], [-8], [16], [-11], [-20], [18], [12], [15], [-26], [27], [15], [12], [9], [27], [27], [22], [8], [7], [0], [-4], [-15], [8], [-18], [20], [-7], [-26], [2], [23], [18], [-16], [-25], [-11], [7], [24], [-8], [-10], [-36], [-8], [-7], [6], [-14], [24], [12], [-1], [3], [3], [-25], [2], [11], [-26], [-34], [21], [-8], [36], [15], [8], [-31], [-4], [10], [30], [1], [-4], [17], [17], [7], [-39], [-15], [29], [10], [-20], [34], [42], [21], [38], [-22], [-8], [0], [-25], [2], [-2], [-26], [32], [-20], [14], [13], [-40], [16], [-32], [20], [30], [-18], [14], [29], [16], [51], [4], [-20], [-14], [8], [-51], [-52], [54], [-47], [-4], [-15], [46], [-18], [-14], [-40], [9], [-30], [4], [-9], [-23], [35], [-11], [20], [-5], [26], [48], [-36], [-2], [-1], [46], [33], [43], [51], [14], [27], [-2], [10], [-30], [14], [-38], [-27], [-28], [-32], [-22], [-39], [52], [50], [12], [28], [-40], [-52], [-46], [6], [4], [-46], [6], [-22], [-44], [0], [-51], [-52], [57], [-30], [19], [14], [36], [-36], [40], [22], [33], [48], [57], [17], [40], [-18], [43], [-4], [-6], [-7], [-18], [2], [-40], [14], [45], [20], [-64], [-21], [-12], [-49], [-60], [19], [44], [-5], [7], [10], [9], [-32], [-42], [10], [26], [20], [-40], [-51], [-3], [3], [6], [-21], [48], [-54], [-14], [31], [76], [-39], [-30], [-60], [63], [-36], [38], [-18], [11], [-78], [-23], [23], [24], [14], [-56], [-18], [-52], [-38], [-4], [21], [-19], [30], [-48], [-37], [-59], [60], [36], [-32], [32], [-10], [-42], [-16], [14], [56], [-58], [66], [-56], [-1], [52], [-33], [30], [-10], [28], [-22], [9], [35], [29], [-18], [-60], [-87], [-24], [-34], [22], [-60], [-22], [76], [31], [70], [15], [69], [-54], [36], [-39], [-16], [9], [-28], [-12], [56], [32], [-85], [-7], [20], [-27], [-11], [46], [56], [-44], [50], [84], [-48], [-88], [-1], [-32], [-38], [62], [-44], [68], [72], [-22], [48], [-36], [-8], [-80], [-8], [-70], [-4], [-72], [26], [-1], [-51], [25], [-74], [51], [29], [-50], [48], [-75], [18], [-10], [58], [-31], [-8], [-70], [46], [57], [82], [69], [-51], [38], [-54], [54], [56], [28], [73], [83], [64], [1], [-33], [41], [3], [94], [44], [-26], [-30], [-30], [-4], [70], [54], [-34], [62], [-4], [90], [-60], [-33], [57], [-88], [-66], [88], [-18], [-53], [30], [43], [75], [-7], [55], [-101], [-60], [21], [-77], [86], [-49], [12], [-69], [-50], [9], [-72], [-94], [64], [73], [-94], [-21], [-17], [-23], [48], [53], [48], [-18], [-18], [96], [94], [-16], [-25], [8], [-46], [-19], [32], [52], [14]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 153122387364158784, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '7488.2.a.bi', 'level': 7488, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [10, 14, 19, 17, 14, 10, 17, 19], 'Nk2': 29952, 'analytic_conductor': 59.79198103353475, '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': [7488, 1, [703, 6085, 5825, 5761], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1297, 'dim': 120, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17, 19, 29], 'hecke_orbit_code': 33561920, '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, 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, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4], 'label': '7488.2.a', 'level': 7488, '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, 13], 'level_radical': 78, 'mf_dim': 1392, 'mf_new_dim': 120, 'num_forms': 82, 'plus_dim': 54, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 2688, 'trace_bound': 29, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1350967
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '416.2.a.a', 'target_level': 416, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1350968
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '416.2.a.b', 'target_level': 416, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1350969
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '832.2.a.b', 'target_level': 832, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1350970
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '832.2.a.g', 'target_level': 832, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1350971
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3328.2.b.c', 'target_level': 3328, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1350972
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3328.2.b.r', 'target_level': 3328, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1350973
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3744.2.a.e', 'target_level': 3744, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1350974
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3744.2.a.f', 'target_level': 3744, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1350975
{'conductor': 312, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '5408.2.a.e', 'target_level': 5408, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '312.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1350976
{'conductor': 312, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '5408.2.a.i', 'target_level': 5408, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '312.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1350977
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7488.2.a.bi', 'target_level': 7488, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1350978
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7488.2.a.bi', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7488.2.a.bj', 'target_level': 7488, 'twist_class_label': '416.2.a.a', 'twist_class_level': 416, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4487725
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 2}
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id: 4487726
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 3}
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id: 4487727
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 5}
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id: 4487728
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 7}
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id: 4487729
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 11}
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id: 4487730
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 13}
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id: 4487731
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 17}
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id: 4487732
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 19}
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id: 4487733
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 23}
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id: 4487734
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 29}
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id: 4487735
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 31}
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id: 4487736
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 37}
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id: 4487737
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 41}
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id: 4487738
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 43}
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id: 4487739
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 47}
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id: 4487740
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 53}
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id: 4487741
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 59}
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id: 4487742
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 61}
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id: 4487743
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 67}
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id: 4487744
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 71}
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id: 4487745
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 73}
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id: 4487746
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 79}
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id: 4487747
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 83}
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id: 4487748
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 89}
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id: 4487749
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 153122387364158784, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '7488.2.a.bi', 'level': 7488, '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: 69592639
{'hecke_orbit_code': 153122387364158784, 'n': 1, 'trace_an': 1}
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id: 69592640
{'hecke_orbit_code': 153122387364158784, 'n': 2, 'trace_an': 0}
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id: 69592641
{'hecke_orbit_code': 153122387364158784, 'n': 3, 'trace_an': 0}
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id: 69592642
{'hecke_orbit_code': 153122387364158784, 'n': 4, 'trace_an': 0}
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id: 69592643
{'hecke_orbit_code': 153122387364158784, 'n': 5, 'trace_an': 1}
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