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{'Nk2': 17600, 'analytic_conductor': 35.13417688936337, 'analytic_rank': 1, '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, [-2, 1]], [7, [0, 1]], [13, [-2, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345191728, '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.ba', '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.b.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}+q^{9}-q^{11}+2q^{13}-6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/4400/ba'], '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, 2, 0, 0], 'trace_hash': 1124443262653287824, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.951', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [2], [0], [0], [0], [0], [0], [1], [0], [-1], [0], [2], [0], [0], [0], [-6], [0], [-4], [0], [0], [0], [-2], [0], [0], [0], [-4], [0], [-10], [0], [8], [0], [-2], [0], [0], [0], [-8], [0], [4], [0], [-2], [0], [0], [0], [0], [0], [2], [0], [-7], [0], [-12], [0], [0], [0], [0], [0], [-8], [0], [12], [0], [-10], [0], [0], [0], [0], [0], [-6], [0], [-4], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [-12], [0], [-11], [0], [16], [0], [0], [0], [-20], [0], [18], [0], [0], [0], [16], [0], [0], [0], [12], [0], [-1], [0]], 'ap': [[0], [2], [0], [0], [-1], [2], [-6], [-4], [-2], [-10], [8], [-8], [-2], [0], [2], [0], [12], [-10], [-6], [0], [-6], [-12], [16], [18], [12], [2], [-14], [12], [2], [-12], [-4], [8], [12], [-8], [-14], [-8], [-4], [-6], [20], [-2], [-4], [-6], [-16], [10], [-2], [8], [-8], [14], [24], [-6], [-10], [-12], [-2], [-20], [8], [-12], [18], [8], [-22], [-18], [32], [-14], [-4], [-32], [16], [28], [-12], [10], [-12], [-34], [-8], [-12], [26], [14], [4], [18], [-6], [28], [30], [2], [20], [2], [28], [4], [-16], [-14], [18], [-18], [2], [-34], [-6], [4], [2], [-36], [-20], [0], [-14], [22], [-4], [-22], [-16], [38], [4], [26], [-12], [4], [-22], [18], [8], [-34], [-28], [6], [-36], [4], [40], [-18], [26], [30], [-24], [32], [-42], [10], [-14], [-26], [20], [6], [-26], [24], [30], [-50], [32], [-28], [0], [12], [42], [30], [32], [-52], [-12], [-26], [-28], [-2], [34], [-4], [-26], [24], [-26], [-46], [-20], [-6], [38], [18], [-30], [4], [50], [32], [-8], [30], [-18], [-22], [-22], [46], [4], [-20], [20], [-22], [-40], [-58], [22], [0], [0], [2], [-24], [-50], [-16], [-10], [44], [-10], [40], [-22], [22], [36], [-4], [38], [22], [-10], [62], [22], [-14], [-4], [36], [-48], [52], [30], [-32], [24], [46], [24], [6], [36], [6], [-20], [-8], [54], [-4], [-44], [-56], [-60], [-50], [12], [-2], [-22], [50], [26], [-44], [2], [16], [10], [22], [16], [-66], [-60], [-34], [-46], [36], [-14], [-12], [-40], [28], [24], [28], [-16], [20], [30], [-10], [-48], [34], [-38], [-12], [-8], [-6], [32], [50], [-50], [38], [60], [58], [76], [0], [-12], [2], [-30], [62], [-18], [6], [56], [10], [72], [-28], [22], [-44], [-64], [-50], [-14], [-24], [20], [78], [-6], [40], [-30], [-58], [10], [28], [56], [14], [-42], [-78], [-18], [-74], [8], [36], [8], [40], [26], [-32], [-32], [-68], [-78], [0], [-54], [-50], [-2], [-34], [0], [-6], [-54], [-72], [-40], [64], [12], [62], [22], [-40], [54], [-68], [40], [2], [-38], [-40], [-82], [-8], [2], [-46], [-82], [-84], [38], [-20], [-8], [-20], [42], [24], [-36], [-42], [-26], [-42], [-66], [52], [26], [-48], [-42], [-42], [-20], [-44], [44], [-24], [-90], [2], [86], [-10], [40], [-68], [-72], [-38], [8], [-24], [-68], [38], [-74], [-68], [-96], [-28], [8], [50], [80], [14], [-70], [40], [-72], [-42], [10], [-70], [-70], [34], [-84], [70], [28], [-58], [-44], [-2], [-12], [-28], [76], [42], [-28], [-52], [-44], [-48], [38], [50], [62], [-90], [64], [60], [-6], [-100], [-6], [72], [52], [-4], [-34], [50], [-24], [-36], [58], [24], [-2], [80], [-26], [-28], [22], [18], [-44], [48], [-24], [-6], [0], [-20], [18], [-82], [84], [30], [66], [18], [60], [2], [-14], [-16], [-58], [48], [48], [-50], [58], [-42], [36], [-32], [72], [58], [-6], [44], [20]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 117093590345191728, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4400.2.a.ba', '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: 1203729
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '110.2.b.b', 'target_level': 110, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1203730
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '550.2.a.c', 'target_level': 550, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1203731
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '550.2.a.k', 'target_level': 550, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1203732
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '880.2.b.e', 'target_level': 880, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1203733
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '990.2.c.c', 'target_level': 990, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1203734
{'conductor': 220, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1210.2.b.d', 'target_level': 1210, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '220.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1203735
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4400.2.a.f', 'target_level': 4400, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1203736
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '4400.2.a.ba', 'target_level': 4400, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1203737
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4950.2.a.j', 'target_level': 4950, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1203738
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '4950.2.a.bj', 'target_level': 4950, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1203739
{'conductor': 220, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '6050.2.a.q', 'target_level': 6050, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '220.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1203740
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '4400.2.a.ba', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '6050.2.a.x', 'target_level': 6050, 'twist_class_label': '110.2.b.b', 'twist_class_level': 110, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3589075
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 2}
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id: 3589076
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 3}
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id: 3589077
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 5}
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id: 3589078
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 7}
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id: 3589079
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 11}
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id: 3589080
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 13}
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id: 3589081
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 17}
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id: 3589082
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 19}
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id: 3589083
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 23}
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id: 3589084
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 29}
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id: 3589085
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 31}
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id: 3589086
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 37}
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id: 3589087
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 41}
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id: 3589088
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 43}
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id: 3589089
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 47}
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id: 3589090
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 53}
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id: 3589091
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 59}
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id: 3589092
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 61}
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id: 3589093
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 67}
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id: 3589094
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 71}
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id: 3589095
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 73}
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id: 3589096
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 79}
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id: 3589097
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 83}
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id: 3589098
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 89}
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id: 3589099
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 117093590345191728, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '4400.2.a.ba', 'level': 4400, '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: 67194013
{'hecke_orbit_code': 117093590345191728, 'n': 1, 'trace_an': 1}
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id: 67194014
{'hecke_orbit_code': 117093590345191728, 'n': 2, 'trace_an': 0}
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id: 67194015
{'hecke_orbit_code': 117093590345191728, 'n': 3, 'trace_an': 2}
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id: 67194016
{'hecke_orbit_code': 117093590345191728, 'n': 4, 'trace_an': 0}
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