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{'Nk2': 39200, 'analytic_conductor': 78.25339398085478, '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': [9800, 1, [7351, 4901, 1177, 5001], [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]], [19, [8, 1]], [23, [0, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580974152, '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': '9800.2.a.u', 'level': 9800, 'level_is_powerful': True, '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-3q^{9}-4q^{11}+2q^{13}-6q^{17}-8q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/9800/u'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9800.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 476757040225486335, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.057', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.996', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [0], [0], [0], [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], [0], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [0], [0], [6], [0], [0], [0], [0], [0], [4], [0], [0], [0], [-8], [0], [10], [0], [0], [0], [0], [0], [16], [0], [9], [0], [8], [0], [0], [0], [0], [0], [6], [0], [0], [0], [0], [0], [0], [0], [-6], [0], [12], [0]], 'ap': [[0], [0], [0], [0], [-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], [14], [-60], [-100], [-32], [58], [-42], [26], [14], [-76], [48], [-24], [-30], [46], [-16], [30], [-18], [96], [56], [102], [-10], [92], [40], [44], [-66], [94], [54], [22], [-16], [-14], [-42], [60], [80], [84], [86], [40], [-18], [80], [-24], [2], [16], [8], [-60], [48], [-14]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 90071992580974152, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '9800.2.a.u', 'level': 9800, 'maxp': 3361, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [19, 26, 28, 24, 25, 22, 24, 27], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [23, 24, 24, 24, 24, 24, 24, 24], 'ALdims_old': [174, 178, 176, 168, 179, 170, 168, 177], 'Nk2': 39200, 'analytic_conductor': 78.25339398085478, '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': [9800, 1, [7351, 4901, 1177, 5001], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1585, 'dim': 195, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13, 19, 23], 'hecke_orbit_code': 33564232, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 10, 10], 'label': '9800.2.a', 'level': 9800, 'level_is_powerful': True, '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': 1776, 'mf_new_dim': 195, 'num_forms': 81, 'plus_dim': 89, 'prim_orbit_index': 1, 'relative_dim': 195, 'sturm_bound': 3360, 'trace_bound': 23, 'trace_display': [0, -2, 0, 0], 'traces': [195, 0, -2, 0, 0, 0, 0, 0, 197, 0, -6, 0, 0, 0, 0, 0, 6, 0, -4, 0, 0, 0, 0, 0, 0, 0, -20, 0, 2, 0, -8, 0, 24, 0, 0, 0, -10, 0, 16, 0, -8, 0, -8, 0, 0, 0, 8, 0, 0, 0, -10, 0, 2, 0, 0, 0, -4, 0, -6, 0, -36, 0, 0, 0, 0, 0, -20, 0, -12, 0, 24, 0, 2, 0, 0, 0, 0, 0, -32, 0, 243, 0, 10, 0, 0, 0, -12, 0, 8, 0, 0, 0, -12, 0, 0, 0, 22, 0, -64, 0, 36, 0, -40, 0, 0, 0, -4, 0, 18, 0, -8, 0, 58, 0, 0, 0, -56, 0, 0, 0, 205, 0, 40, 0, 0, 0, 4, 0, 40, 0, 42, 0, 0, 0, 0, 0, 26, 0, 0, 0, 4, 0, 56, 0, 0, 0, 0, 0, 42, 0, 80, 0, 14, 0, 0, 0, 8, 0, 32, 0, 0, 0, 68, 0, 0, 0, 40, 0, 177, 0, -26, 0, 56, 0, 0, 0, -4, 0, -6, 0, 40, 0, 28, 0, 0, 0, 56, 0, 0, 0, -40, 0, -34, 0, 0, 0, -82, 0, 28, 0, -42, 0, 0, 0, 0, 0, -4, 0, 58, 0, 90, 0, -16, 0, 0, 0, 0, 0, -150, 0, 24, 0, -52, 0, 0, 0, -46, 0, -20, 0, 0, 0, -38, 0, 0, 0, 8, 0, -24, 0, 8, 0, -142, 0, 0, 0, 8, 0, 86, 0, 60, 0, 52, 0, 0, 0, -14, 0, 0, 0, 82, 0, 48, 0, 0, 0, -36, 0, 36, 0, 84, 0, 0, 0, 0, 0, 2, 0, 4, 0, 114, 0, -14, 0, 0, 0, 0, 0, 139, 0, 76, 0, 52, 0, 0, 0, 8, 0, 0, 0, 0, 0, 172, 0, 0, 0, -62, 0, 60, 0, 44, 0, 118, 0, 0, 0, -22, 0, 136, 0, 50, 0, -68, 0, 0, 0, 20, 0, 0, 0, 10, 0, -110, 0, 0, 0, 22, 0, 90, 0, -92, 0, 0, 0, 0, 0, -52, 0, -24, 0, 168, 0, -70, 0, 0, 0, 0, 0, 176, 0, 373, 0, 30, 0, 0, 0, 20, 0, 2, 0, 0, 0, -6, 0, 0, 0, -72, 0, 2, 0, 68, 0, -72, 0, 0, 0, 32, 0, 138, 0, 92, 0, 116, 0, 0, 0, -8, 0, 0, 0, 212, 0, 224, 0, 0, 0, 36, 0, 32, 0, 134, 0, 0, 0, 0, 0, 128, 0, 176, 0, -162, 0, 96, 0, 0, 0, 0, 0, 72, 0, 24, 0, 38, 0, 0, 0, 80, 0, 48, 0, 0, 0, 36, 0, 0, 0, 180, 0, 148, 0, -62, 0, 184, 0, 0, 0, 134, 0, 2, 0, 76, 0, 20, 0, 0, 0, 74, 0, 0, 0, 176, 0, -16, 0, 0, 0, 94, 0, -80, 0, -120, 0, 0, 0, 0, 0, -16, 0, 150, 0, -20, 0, -92, 0, 0, 0, 0, 0, -32, 0, 168, 0, -76, 0, 0, 0, 2, 0, -112, 0, 0, 0, 36, 0, 0, 0, -24, 0, 212, 0, 80, 0, -142, 0, 0, 0, -156, 0, 279, 0, 74, 0, 80, 0, 0, 0, -136, 0, 0, 0, 282, 0, -80, 0, 0, 0, 96, 0, -128, 0, 60, 0, 0, 0, 0, 0, -78, 0, -192, 0, 142, 0, 54, 0, 0, 0, 0, 0, 124, 0, -40, 0, 136, 0, 0, 0, -22, 0, -122, 0, 0, 0, 196, 0, 0, 0, -74, 0, 120, 0, -32, 0, 82, 0, 0, 0, 108, 0, 24, 0, -112, 0, -312, 0, 0, 0, 12, 0, 0, 0, 104, 0, -98, 0, 0, 0, 54, 0, -174, 0, -212, 0, 0, 0, 0, 0, -172, 0, 48, 0, 100, 0, 0, 0, 0, 0, 0, 0, 8, 0, 30, 0, 30, 0, 0, 0, -48, 0, 8, 0, 0, 0, -90, 0, 0, 0, -30, 0, 90, 0, -88, 0, -216, 0, 0, 0, 120, 0, 32, 0, -68, 0, -2, 0, 0, 0, -40, 0, 0, 0, 84, 0, -60, 0, 0, 0, 100, 0, -96, 0, 20, 0, 0, 0, 0, 0, 216, 0, 296, 0, -174, 0, 60, 0, 0, 0, 0, 0, 62, 0, -72, 0, 48, 0, 0, 0, -8, 0, -16, 0, 0, 0, 4, 0, 0, 0, 120, 0, 239, 0, -64, 0, 68, 0, 0, 0, -68, 0, -96, 0, -160, 0, -52, 0, 0, 0, 154, 0, 0, 0, -204, 0, -8, 0, 0, 0, 74, 0, -36, 0, -248, 0, 0, 0, 0, 0, 208, 0, -168, 0, 192, 0, -44, 0, 0, 0, 0, 0, -6, 0, 128, 0, -128, 0, 0, 0, -6, 0, -68, 0, 0, 0, -32, 0, 0, 0, -24, 0, -84, 0, 198, 0, -224, 0, 0, 0, -20, 0, -22, 0, -86, 0, 228, 0, 0, 0, 0, 0, 0, 0, -18, 0, 288, 0, 0, 0, 104, 0, 80, 0, 116, 0, 0, 0, 0, 0, -68, 0, -212, 0, 421, 0, 52, 0, 0, 0, 0, 0, 2, 0, 92, 0, -24, 0, 0, 0, 102, 0, -88, 0, 0, 0, -152, 0, 0, 0, -270, 0, -224, 0, -240, 0, 302, 0, 0, 0, 46, 0, -148, 0, -26, 0, -200, 0, 0, 0, -104, 0, 0, 0, -414, 0, -140, 0, 0, 0, -184, 0, 256, 0, -32, 0, 0, 0, 0, 0, -228, 0, 200, 0, -40, 0, -80, 0, 0, 0, 0, 0, 120, 0, 346, 0, 16, 0, 0, 0, 48, 0, 42, 0, 0, 0, -148, 0, 0, 0, 58, 0, -472, 0, 0, 0, -168, 0, 0, 0, -156, 0, 40, 0, 316, 0, -54, 0, 0, 0, -40, 0, 0, 0, -9, 0, 64, 0, 0, 0, -276, 0, 146, 0, 252, 0, 0, 0, 0, 0, -150, 0, 182, 0, -230, 0, 8, 0, 0, 0, 0, 0, -320, 0, -144, 0, 48, 0, 0, 0, -124, 0, -20, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1447942
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1447943
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1447944
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1447945
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1447946
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1447947
{'conductor': 280, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '280.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1447948
{'conductor': 280, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '280.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1447949
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1447950
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1447951
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1447952
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1447953
{'conductor': 420, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '420.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1447954
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1447955
{'conductor': 35, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1447956
{'conductor': 560, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '560.be', 'twisting_char_orbit': 31, 'weight': 2}
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id: 1447957
{'conductor': 560, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '560.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 1447958
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1447959
{'conductor': 140, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '140.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1447960
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1447961
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1447962
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1447963
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1447964
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1447965
{'conductor': 840, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '840.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1447966
{'conductor': 840, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '840.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1447967
{'conductor': 385, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '385.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1447968
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1447969
{'conductor': 455, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '455.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1447970
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9800.2.a.u', 'source_level': 9800, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 5126150
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 2}
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id: 5126151
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 3}
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id: 5126152
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 5}
-
id: 5126153
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 7}
-
id: 5126154
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 11}
-
id: 5126155
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 13}
-
id: 5126156
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 17}
-
id: 5126157
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 19}
-
id: 5126158
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 23}
-
id: 5126159
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 29}
-
id: 5126160
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 31}
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id: 5126161
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 37}
-
id: 5126162
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 41}
-
id: 5126163
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 43}
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id: 5126164
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 47}
-
id: 5126165
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 53}
-
id: 5126166
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 59}
-
id: 5126167
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 61}
-
id: 5126168
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 67}
-
id: 5126169
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 71}
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id: 5126170
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 73}
-
id: 5126171
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 79}
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id: 5126172
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 83}
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id: 5126173
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 89}
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id: 5126174
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580974152, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '9800.2.a.u', 'level': 9800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64650907
{'hecke_orbit_code': 90071992580974152, 'n': 1, 'trace_an': 1}
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id: 64650908
{'hecke_orbit_code': 90071992580974152, 'n': 2, 'trace_an': 0}
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id: 64650909
{'hecke_orbit_code': 90071992580974152, 'n': 3, 'trace_an': 0}
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id: 64650910
{'hecke_orbit_code': 90071992580974152, 'n': 4, 'trace_an': 0}
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id: 64650911
{'hecke_orbit_code': 90071992580974152, 'n': 5, 'trace_an': 0}
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id: 64650912
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