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{'Nk2': 17600, 'analytic_conductor': 35.13417688936337, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [11, 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': [4400, 1, [2751, 3301, 177, 1201], [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, [1, 1]], [7, [-3, 1]], [13, [-6, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934634288, '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': '4400.2.a.l', 'level': 4400, '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, 11], 'level_radical': 110, 'minimal_twist': '110.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+3q^{7}-2q^{9}-q^{11}+6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4400/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4400.2.a', 'trace_display': [0, -1, 0, 3], 'trace_hash': 629028436203913470, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.975', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [1, 0, -1, 0, 0, 0, 3, 0, -2, 0, -1, 0, 6, 0, 0, 0, 7, 0, -5, 0, -3, 0, -6, 0, 0, 0, 5, 0, 5, 0, 3, 0, 1, 0, 0, 0, -3, 0, -6, 0, 2, 0, 4, 0, 0, 0, -2, 0, 2, 0, -7, 0, 1, 0, 0, 0, 5, 0, 10, 0, 7, 0, -6, 0, 0, 0, 8, 0, 6, 0, -7, 0, -14, 0, 0, 0, -3, 0, -10, 0, 1, 0, -6, 0, 0, 0, -5, 0, -15, 0, 18, 0, -3, 0, 0, 0, 12, 0, 2, 0, 2, 0, 4, 0, 0, 0, 8, 0, -10, 0, 3, 0, 16, 0, 0, 0, -12, 0, 21, 0, 1, 0, -2, 0, 0, 0, 8, 0, -4, 0, -17, 0, -15, 0, 0, 0, 12, 0, 20, 0, 2, 0, -6, 0, 0, 0, -2, 0, 15, 0, -2, 0, -14, 0, 0, 0, -3, 0, -1, 0, -18, 0, 19, 0, 0, 0, 3, 0, 23, 0, 10, 0, -14, 0, 0, 0, -10, 0, 0, 0, 2, 0, -7, 0, 0, 0, -7, 0, 15, 0, -12, 0, 11, 0, 0, 0, 12, 0, 25, 0, -8, 0, 15, 0, 0, 0, 12, 0, 5, 0, 23, 0, 7, 0, 0, 0, 9, 0, 14, 0, 42, 0, -6, 0, 0, 0, -2, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [0], [0], [3], [0], [-2], [0], [-1], [0], [6], [0], [0], [0], [7], [0], [-5], [0], [-3], [0], [-6], [0], [0], [0], [5], [0], [5], [0], [3], [0], [1], [0], [0], [0], [-3], [0], [-6], [0], [2], [0], [4], [0], [0], [0], [-2], [0], [2], [0], [-7], [0], [1], [0], [0], [0], [5], [0], [10], [0], [7], [0], [-6], [0], [0], [0], [8], [0], [6], [0], [-7], [0], [-14], [0], [0], [0], [-3], [0], [-10], [0], [1], [0], [-6], [0], [0], [0], [-5], [0], [-15], [0], [18], [0], [-3], [0], [0], [0], [12], [0], [2], [0]], 'ap': [[0], [-1], [0], [3], [-1], [6], [7], [-5], [-6], [5], [3], [-3], [2], [4], [-2], [1], [10], [7], [8], [-7], [-14], [-10], [-6], [-15], [12], [2], [4], [8], [-10], [16], [8], [-17], [12], [20], [15], [-2], [-3], [19], [3], [-14], [0], [2], [-12], [11], [12], [25], [23], [-6], [-2], [10], [-9], [-10], [-18], [-2], [2], [9], [-20], [8], [12], [-18], [-6], [6], [-2], [3], [6], [7], [28], [17], [18], [30], [-34], [20], [28], [6], [30], [34], [-30], [2], [-13], [-20], [0], [32], [8], [16], [-20], [4], [-30], [-3], [27], [34], [23], [0], [-12], [3], [-20], [24], [20], [22], [-16], [-23], [8], [-18], [-6], [0], [-27], [-38], [-27], [-14], [-45], [42], [-47], [26], [-8], [-20], [33], [-33], [19], [-42], [31], [-15], [2], [-29], [-28], [-31], [38], [7], [-10], [-25], [-22], [-24], [-40], [-21], [-17], [-38], [-18], [-10], [-19], [28], [-18], [-30], [-7], [-18], [-16], [8], [-20], [0], [26], [7], [-30], [-6], [-38], [2], [9], [8], [-57], [-27], [-40], [35], [-38], [17], [-27], [-39], [-27], [48], [12], [54], [8], [32], [50], [21], [35], [-18], [18], [11], [0], [-5], [28], [12], [9], [-45], [38], [-57], [-29], [27], [34], [10], [52], [4], [-50], [48], [-24], [4], [38], [-28], [-12], [6], [32], [-34], [22], [49], [5], [18], [27], [-40], [-20], [-43], [40], [24], [-30], [-32], [37], [52], [4], [-27], [-40], [-13], [33], [-18], [48], [51], [-18], [-10], [-35], [4], [-32], [55], [46], [-35], [8], [-52], [46], [-55], [-22], [-18], [4], [-47], [-5], [-54], [20], [-57], [29], [-12], [4], [70], [6], [10], [-52], [-42], [55], [-71], [-38], [52], [-2], [-5], [-24], [-25], [-28], [18], [2], [17], [-16], [-52], [35], [26], [12], [-80], [80], [57], [-16], [6], [22], [33], [56], [50], [7], [54], [-32], [10], [22], [-27], [-61], [-52], [-32], [-33], [68], [43], [26], [2], [5], [-30], [52], [-12], [11], [-7], [-34], [-30], [48], [-69], [-60], [-2], [21], [-28], [20], [-36], [38], [-88], [68], [-40], [15], [56], [44], [-70], [52], [19], [43], [-50], [10], [8], [66], [20], [73], [-38], [-38], [-46], [-39], [-13], [10], [-36], [63], [-24], [17], [22], [40], [34], [-37], [-57], [90], [31], [-43], [23], [-34], [-58], [-55], [-87], [-39], [-35], [52], [53], [28], [87], [23], [-38], [-68], [-31], [55], [-39], [-65], [-47], [82], [44], [2], [72], [28], [25], [3], [56], [-18], [-1], [-8], [-32], [20], [-96], [-65], [-62], [-78], [0], [-42], [-49], [0], [-43], [-48], [26], [-92], [97], [0], [64], [88], [67], [-76], [-82], [5], [-9], [0], [8], [8], [-74], [-10], [15], [-2], [87], [-95], [6], [28], [-48], [30], [-42], [7], [-58], [9], [-90], [86], [32], [84], [-52], [-38], [-8], [60], [8], [-38], [39], [-60], [32], [-52], [-45], [26], [87], [29], [80], [-52], [10]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595934634288, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4400.2.a.l', 'level': 4400, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [10, 13, 15, 9, 11, 11, 13, 13], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [72, 77, 72, 75, 79, 70, 71, 74], 'Nk2': 17600, 'analytic_conductor': 35.13417688936337, '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': [4400, 1, [2751, 3301, 177, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 685, 'dim': 95, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33558832, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '4400.2.a', 'level': 4400, '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, 11], 'level_radical': 110, 'mf_dim': 756, 'mf_new_dim': 95, 'num_forms': 57, 'plus_dim': 43, 'prim_orbit_index': 1, 'relative_dim': 95, 'sturm_bound': 1440, 'trace_bound': 13, 'trace_display': [0, 2, 0, 4], 'traces': [95, 0, 2, 0, 0, 0, 4, 0, 95, 0, -3, 0, 2, 0, 0, 0, -2, 0, 12, 0, 8, 0, -6, 0, 0, 0, -10, 0, 10, 0, 30, 0, 0, 0, 0, 0, 10, 0, -8, 0, -2, 0, 16, 0, 0, 0, -4, 0, 103, 0, -12, 0, 2, 0, 0, 0, 24, 0, -22, 0, -6, 0, -40, 0, 0, 0, 22, 0, -8, 0, 34, 0, -2, 0, 0, 0, 0, 0, 60, 0, 103, 0, -8, 0, 0, 0, 16, 0, -22, 0, 64, 0, 24, 0, 0, 0, 2, 0, -9, 0, 2, 0, -12, 0, 0, 0, -16, 0, -46, 0, 42, 0, 10, 0, 0, 0, 34, 0, -16, 0, 95, 0, -8, 0, 0, 0, 24, 0, 24, 0, 0, 0, -32, 0, 0, 0, 26, 0, 64, 0, 8, 0, -10, 0, 0, 0, 10, 0, -62, 0, 36, 0, -10, 0, 0, 0, -6, 0, -76, 0, -16, 0, 56, 0, 0, 0, -8, 0, 73, 0, 28, 0, -6, 0, 0, 0, -36, 0, -62, 0, -30, 0, 8, 0, 0, 0, 6, 0, 72, 0, -54, 0, -2, 0, 0, 0, 50, 0, 56, 0, -20, 0, 16, 0, 0, 0, 56, 0, -4, 0, 44, 0, 32, 0, 0, 0, 32, 0, 80, 0, -52, 0, 18, 0, 0, 0, 48, 0, -14, 0, 12, 0, -58, 0, 0, 0, 16, 0, -4, 0, -18, 0, -128, 0, 0, 0, 72, 0, -72, 0, -70, 0, -8, 0, 0, 0, -34, 0, 44, 0, 34, 0, 76, 0, 0, 0, 22, 0, -14, 0, 24, 0, 32, 0, 0, 0, 50, 0, 132, 0, -2, 0, 76, 0, 0, 0, -160, 0, 69, 0, 90, 0, -102, 0, 0, 0, -12, 0, -24, 0, 32, 0, 36, 0, 0, 0, 12, 0, -24, 0, 120, 0, 2, 0, 0, 0, 18, 0, 10, 0, -112, 0, -88, 0, 0, 0, 108, 0, -16, 0, 158, 0, -62, 0, 0, 0, -66, 0, 162, 0, -16, 0, 104, 0, 0, 0, 28, 0, 18, 0, -136, 0, 10, 0, 0, 0, 96, 0, 24, 0, 107, 0, 2, 0, 0, 0, -22, 0, 30, 0, -56, 0, 10, 0, 0, 0, -20, 0, -82, 0, 40, 0, -110, 0, 0, 0, 28, 0, -78, 0, -188, 0, 64, 0, 0, 0, 10, 0, 120, 0, -10, 0, -48, 0, 0, 0, -16, 0, -26, 0, -134, 0, 40, 0, 0, 0, 48, 0, -76, 0, 18, 0, -92, 0, 0, 0, -96, 0, -16, 0, -116, 0, 10, 0, 0, 0, 40, 0, -184, 0, 55, 0, 14, 0, 0, 0, -132, 0, 82, 0, -18, 0, -144, 0, 0, 0, 22, 0, 124, 0, -14, 0, 86, 0, 0, 0, -18, 0, -56, 0, 310, 0, 4, 0, 0, 0, -30, 0, -8, 0, 76, 0, -180, 0, 0, 0, -54, 0, 0, 0, 60, 0, -12, 0, 0, 0, -96, 0, 52, 0, -232, 0, -84, 0, 0, 0, 102, 0, -206, 0, 72, 0, 40, 0, 0, 0, 0, 0, -124, 0, 10, 0, -12, 0, 0, 0, -4, 0, 99, 0, 104, 0, 4, 0, 0, 0, -4, 0, -19, 0, -102, 0, -14, 0, 0, 0, -148, 0, -126, 0, -120, 0, 96, 0, 0, 0, -126, 0, 48, 0, 24, 0, -132, 0, 0, 0, 148, 0, 46, 0, -44, 0, -80, 0, 0, 0, -46, 0, -352, 0, -16, 0, -26, 0, 0, 0, 112, 0, -56, 0, 36, 0, 62, 0, 0, 0, -104, 0, 120, 0, -42, 0, 292, 0, 0, 0, -60, 0, 16, 0, -168, 0, -30, 0, 0, 0, -58, 0, -26, 0, -120, 0, 28, 0, 0, 0, -8, 0, -44, 0, -186, 0, 128, 0, 0, 0, -14, 0, -124, 0, 2, 0, 166, 0, 0, 0, 54, 0, 8, 0, 196, 0, -46, 0, 0, 0, -18, 0, 24, 0, -158, 0, -80, 0, 0, 0, 40, 0, -208, 0, 42, 0, 86, 0, 0, 0, -54, 0, 116, 0, -16, 0, -160, 0, 0, 0, 154, 0, 132, 0, 58, 0, 40, 0, 0, 0, -20, 0, -16, 0, -30, 0, 192, 0, 0, 0, 8, 0, -62, 0, 304, 0, -76, 0, 0, 0, 16, 0, -170, 0, 64, 0, 352, 0, 0, 0, -134, 0, 251, 0, -144, 0, -22, 0, 0, 0, 16, 0, 208, 0, 64, 0, 32, 0, 0, 0, -44, 0, 16, 0, 122, 0, 68, 0, 0, 0, -94, 0, 114, 0, 150, 0, 24, 0, 0, 0, 72, 0, -42, 0, -92, 0, -62, 0, 0, 0, 128, 0, -128, 0, 16, 0, 128, 0, 0, 0, -124, 0, -152, 0, -372, 0, 108, 0, 0, 0, 18, 0, 128, 0, 14, 0, 50, 0, 0, 0, 100, 0, 110, 0, -408, 0, -120, 0, 0, 0, 128, 0, 488, 0, 18, 0, -286, 0, 0, 0, 12, 0, 10, 0, -292, 0, 110, 0, 0, 0, -40, 0, -170, 0, 145, 0, -4, 0, 0, 0, 4, 0, 48, 0, 174, 0, 146, 0, 0, 0, -106, 0, -166, 0, -80, 0, -116, 0, 0, 0, -74, 0, 0, 0, 200, 0, 134, 0, 0, 0, -46, 0, 48, 0, -30, 0, 24, 0, 0, 0, -100, 0, 80, 0, -59, 0, 112, 0, 0, 0, 24, 0, -144, 0, -164, 0, 200, 0, 0, 0, -144, 0, -14, 0, 344, 0, -20, 0, 0, 0, -16, 0, -356, 0, 24, 0, -192, 0, 0, 0, -116, 0, -58, 0, 204, 0, -88, 0, 0, 0, 30, 0, 70, 0, -30, 0, -288, 0, 0, 0, 214, 0, -52, 0, 182, 0, -106, 0, 0, 0, 40, 0, 60, 0, 139, 0, -204, 0, 0, 0, 8, 0, 0, 0, -298, 0, -64, 0, 0, 0, 42, 0, 16, 0, -134, 0, 26, 0, 0, 0, -256, 0, -64, 0, -152, 0, -36, 0, 0, 0, 58, 0, 182, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1203524
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '110.2.a.b', 'target_level': 110, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1203525
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '550.2.a.f', 'target_level': 550, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1203526
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '550.2.b.a', 'target_level': 550, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1203527
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '880.2.a.i', 'target_level': 880, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1203528
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '990.2.a.d', 'target_level': 990, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1203529
{'conductor': 220, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1210.2.a.b', 'target_level': 1210, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '220.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1203530
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3520.2.a.h', 'target_level': 3520, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1203531
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3520.2.a.y', 'target_level': 3520, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1203532
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4400.2.a.l', 'target_level': 4400, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1203533
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4400.2.b.i', 'target_level': 4400, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1203534
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '4950.2.a.bc', 'target_level': 4950, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1203535
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4950.2.c.m', 'target_level': 4950, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1203536
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '5390.2.a.bf', 'target_level': 5390, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1203537
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '6050.2.a.bj', 'target_level': 6050, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1203538
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '7920.2.a.d', 'target_level': 7920, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1203539
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '4400.2.a.l', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '9680.2.a.x', 'target_level': 9680, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3588625
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 2}
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id: 3588626
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 3}
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id: 3588627
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 5}
-
id: 3588628
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 7}
-
id: 3588629
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 11}
-
id: 3588630
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 13}
-
id: 3588631
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 17}
-
id: 3588632
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 19}
-
id: 3588633
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 23}
-
id: 3588634
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 29}
-
id: 3588635
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 31}
-
id: 3588636
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 37}
-
id: 3588637
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 41}
-
id: 3588638
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 43}
-
id: 3588639
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 47}
-
id: 3588640
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 53}
-
id: 3588641
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 59}
-
id: 3588642
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 61}
-
id: 3588643
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 67}
-
id: 3588644
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 71}
-
id: 3588645
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 73}
-
id: 3588646
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 79}
-
id: 3588647
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 83}
-
id: 3588648
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 89}
-
id: 3588649
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 49539595934634288, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '4400.2.a.l', 'level': 4400, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 55998103
{'hecke_orbit_code': 49539595934634288, 'n': 1, 'trace_an': 1}
-
id: 55998104
{'hecke_orbit_code': 49539595934634288, 'n': 2, 'trace_an': 0}
-
id: 55998105
{'hecke_orbit_code': 49539595934634288, 'n': 3, 'trace_an': -1}
-
id: 55998106
{'hecke_orbit_code': 49539595934634288, 'n': 4, 'trace_an': 0}
-
id: 55998107
{'hecke_orbit_code': 49539595934634288, 'n': 5, 'trace_an': 0}
-
id: 55998108
{'hecke_orbit_code': 49539595934634288, 'n': 6, 'trace_an': 0}
-
id: 55998109
{'hecke_orbit_code': 49539595934634288, 'n': 7, 'trace_an': 3}
-
id: 55998110
{'hecke_orbit_code': 49539595934634288, 'n': 8, 'trace_an': 0}
-
id: 55998111
{'hecke_orbit_code': 49539595934634288, 'n': 9, 'trace_an': -2}
-
id: 55998112
{'hecke_orbit_code': 49539595934634288, 'n': 10, 'trace_an': 0}
-
id: 55998113
{'hecke_orbit_code': 49539595934634288, 'n': 11, 'trace_an': -1}
-
id: 55998114
{'hecke_orbit_code': 49539595934634288, 'n': 12, 'trace_an': 0}
-
id: 55998115
{'hecke_orbit_code': 49539595934634288, 'n': 13, 'trace_an': 6}
-
id: 55998116
{'hecke_orbit_code': 49539595934634288, 'n': 14, 'trace_an': 0}
-
id: 55998117
{'hecke_orbit_code': 49539595934634288, 'n': 15, 'trace_an': 0}
-
id: 55998118
{'hecke_orbit_code': 49539595934634288, 'n': 16, 'trace_an': 0}
-
id: 55998119
{'hecke_orbit_code': 49539595934634288, 'n': 17, 'trace_an': 7}
-
id: 55998120
{'hecke_orbit_code': 49539595934634288, 'n': 18, 'trace_an': 0}
-
id: 55998121
{'hecke_orbit_code': 49539595934634288, 'n': 19, 'trace_an': -5}
-
id: 55998122
{'hecke_orbit_code': 49539595934634288, 'n': 20, 'trace_an': 0}
-
id: 55998123
{'hecke_orbit_code': 49539595934634288, 'n': 21, 'trace_an': -3}
-
id: 55998124
{'hecke_orbit_code': 49539595934634288, 'n': 22, 'trace_an': 0}
-
id: 55998125
{'hecke_orbit_code': 49539595934634288, 'n': 23, 'trace_an': -6}
-
id: 55998126
{'hecke_orbit_code': 49539595934634288, 'n': 24, 'trace_an': 0}
-
id: 55998127
{'hecke_orbit_code': 49539595934634288, 'n': 25, 'trace_an': 0}
-
id: 55998128
{'hecke_orbit_code': 49539595934634288, 'n': 26, 'trace_an': 0}
-
id: 55998129
{'hecke_orbit_code': 49539595934634288, 'n': 27, 'trace_an': 5}
-
id: 55998130
{'hecke_orbit_code': 49539595934634288, 'n': 28, 'trace_an': 0}
-
id: 55998131
{'hecke_orbit_code': 49539595934634288, 'n': 29, 'trace_an': 5}
-
id: 55998132
{'hecke_orbit_code': 49539595934634288, 'n': 30, 'trace_an': 0}
-
id: 55998133
{'hecke_orbit_code': 49539595934634288, 'n': 31, 'trace_an': 3}
-
id: 55998134
{'hecke_orbit_code': 49539595934634288, 'n': 32, 'trace_an': 0}
-
id: 55998135
{'hecke_orbit_code': 49539595934634288, 'n': 33, 'trace_an': 1}
-
id: 55998136
{'hecke_orbit_code': 49539595934634288, 'n': 34, 'trace_an': 0}
-
id: 55998137
{'hecke_orbit_code': 49539595934634288, 'n': 35, 'trace_an': 0}
-
id: 55998138
{'hecke_orbit_code': 49539595934634288, 'n': 36, 'trace_an': 0}
-
id: 55998139
{'hecke_orbit_code': 49539595934634288, 'n': 37, 'trace_an': -3}
-
id: 55998140
{'hecke_orbit_code': 49539595934634288, 'n': 38, 'trace_an': 0}
-
id: 55998141
{'hecke_orbit_code': 49539595934634288, 'n': 39, 'trace_an': -6}
-
id: 55998142
{'hecke_orbit_code': 49539595934634288, 'n': 40, 'trace_an': 0}
-
id: 55998143
{'hecke_orbit_code': 49539595934634288, 'n': 41, 'trace_an': 2}
-
id: 55998144
{'hecke_orbit_code': 49539595934634288, 'n': 42, 'trace_an': 0}
-
id: 55998145
{'hecke_orbit_code': 49539595934634288, 'n': 43, 'trace_an': 4}
-
id: 55998146
{'hecke_orbit_code': 49539595934634288, 'n': 44, 'trace_an': 0}
-
id: 55998147
{'hecke_orbit_code': 49539595934634288, 'n': 45, 'trace_an': 0}
-
id: 55998148
{'hecke_orbit_code': 49539595934634288, 'n': 46, 'trace_an': 0}
-
id: 55998149
{'hecke_orbit_code': 49539595934634288, 'n': 47, 'trace_an': -2}
-
id: 55998150
{'hecke_orbit_code': 49539595934634288, 'n': 48, 'trace_an': 0}
-
id: 55998151
{'hecke_orbit_code': 49539595934634288, 'n': 49, 'trace_an': 2}
-
id: 55998152
{'hecke_orbit_code': 49539595934634288, 'n': 50, 'trace_an': 0}
-
id: 55998153
{'hecke_orbit_code': 49539595934634288, 'n': 51, 'trace_an': -7}
-
id: 55998154
{'hecke_orbit_code': 49539595934634288, 'n': 52, 'trace_an': 0}
-
id: 55998155
{'hecke_orbit_code': 49539595934634288, 'n': 53, 'trace_an': 1}
-
id: 55998156
{'hecke_orbit_code': 49539595934634288, 'n': 54, 'trace_an': 0}
-
id: 55998157
{'hecke_orbit_code': 49539595934634288, 'n': 55, 'trace_an': 0}
-
id: 55998158
{'hecke_orbit_code': 49539595934634288, 'n': 56, 'trace_an': 0}
-
id: 55998159
{'hecke_orbit_code': 49539595934634288, 'n': 57, 'trace_an': 5}
-
id: 55998160
{'hecke_orbit_code': 49539595934634288, 'n': 58, 'trace_an': 0}
-
id: 55998161
{'hecke_orbit_code': 49539595934634288, 'n': 59, 'trace_an': 10}
-
id: 55998162
{'hecke_orbit_code': 49539595934634288, 'n': 60, 'trace_an': 0}
-
id: 55998163
{'hecke_orbit_code': 49539595934634288, 'n': 61, 'trace_an': 7}
-
id: 55998164
{'hecke_orbit_code': 49539595934634288, 'n': 62, 'trace_an': 0}
-
id: 55998165
{'hecke_orbit_code': 49539595934634288, 'n': 63, 'trace_an': -6}
-
id: 55998166
{'hecke_orbit_code': 49539595934634288, 'n': 64, 'trace_an': 0}
-
id: 55998167
{'hecke_orbit_code': 49539595934634288, 'n': 65, 'trace_an': 0}
-
id: 55998168
{'hecke_orbit_code': 49539595934634288, 'n': 66, 'trace_an': 0}
-
id: 55998169
{'hecke_orbit_code': 49539595934634288, 'n': 67, 'trace_an': 8}
-
id: 55998170
{'hecke_orbit_code': 49539595934634288, 'n': 68, 'trace_an': 0}
-
id: 55998171
{'hecke_orbit_code': 49539595934634288, 'n': 69, 'trace_an': 6}
-
id: 55998172
{'hecke_orbit_code': 49539595934634288, 'n': 70, 'trace_an': 0}
-
id: 55998173
{'hecke_orbit_code': 49539595934634288, 'n': 71, 'trace_an': -7}
-
id: 55998174
{'hecke_orbit_code': 49539595934634288, 'n': 72, 'trace_an': 0}
-
id: 55998175
{'hecke_orbit_code': 49539595934634288, 'n': 73, 'trace_an': -14}
-
id: 55998176
{'hecke_orbit_code': 49539595934634288, 'n': 74, 'trace_an': 0}
-
id: 55998177
{'hecke_orbit_code': 49539595934634288, 'n': 75, 'trace_an': 0}
-
id: 55998178
{'hecke_orbit_code': 49539595934634288, 'n': 76, 'trace_an': 0}
-
id: 55998179
{'hecke_orbit_code': 49539595934634288, 'n': 77, 'trace_an': -3}
-
id: 55998180
{'hecke_orbit_code': 49539595934634288, 'n': 78, 'trace_an': 0}
-
id: 55998181
{'hecke_orbit_code': 49539595934634288, 'n': 79, 'trace_an': -10}
-
id: 55998182
{'hecke_orbit_code': 49539595934634288, 'n': 80, 'trace_an': 0}
-
id: 55998183
{'hecke_orbit_code': 49539595934634288, 'n': 81, 'trace_an': 1}
-
id: 55998184
{'hecke_orbit_code': 49539595934634288, 'n': 82, 'trace_an': 0}
-
id: 55998185
{'hecke_orbit_code': 49539595934634288, 'n': 83, 'trace_an': -6}
-
id: 55998186
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