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{'Nk2': 16200, 'analytic_conductor': 32.339412818618555, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -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': [4050, 1, [2351, 3727], [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': [[7, [1, 1]], [11, [2, 1]], [13, [6, 1]], [17, [2, 1]], [23, [-1, 1]], [41, [11, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463079890, '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': '4050.2.a.x', 'level': 4050, '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, 5], 'level_radical': 30, 'minimal_twist': '90.2.i.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{11}-6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4050/x'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4050.2.a', 'trace_display': [1, 0, 0, -1], 'trace_hash': 524004016670508119, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.968', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.802', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [1, 1, 0, 1, 0, 0, -1, 1, 0, 0, -2, 0, -6, -1, 0, 1, -2, 0, 6, 0, 0, -2, 1, 0, 0, -6, 0, -1, 9, 0, -2, 1, 0, -2, 0, 0, 2, 6, 0, 0, -11, 0, -4, -2, 0, 1, -7, 0, -6, 0, 0, -6, 0, 0, 0, -1, 0, 9, -4, 0, -7, -2, 0, 1, 0, 0, -11, -2, 0, 0, -6, 0, -4, 2, 0, 6, 2, 0, -12, 0, 0, -11, -11, 0, 0, -4, 0, -2, 1, 0, 6, 1, 0, -7, 0, 0, -8, -6, 0, 0, 2, 0, -8, -6, 0, 0, 3, 0, 7, 0, 0, -1, 12, 0, 0, 9, 0, -4, 2, 0, -7, -7, 0, -2, 0, 0, -19, 1, 0, 0, 12, 0, -6, -11, 0, -2, 12, 0, 16, 0, 0, -6, 12, 0, 0, -4, 0, 2, -1, 0, 10, 6, 0, 2, 0, 0, 4, -12, 0, 0, -1, 0, 4, -11, 0, -11, -3, 0, 23, 0, 0, -4, -4, 0, 0, -2, 0, 1, 2, 0, -13, 6, 0, 1, 0, 0, 4, -7, 0, 0, 6, 0, -10, -8, 0, -6, 8, 0, -18, 0, 0, 2, -9, 0, 0, -8, 0, -6, 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-41, 0, 0, 42, -69, 0, 0, 28, 0, 24, 12, 0, 50, -72, 0, 42, 0, 0, 4, 44, 0, 0, -3, 0, 18, -32, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [0], [1], [0], [0], [-1], [1], [0], [0], [-2], [0], [-6], [-1], [0], [1], [-2], [0], [6], [0], [0], [-2], [1], [0], [0], [-6], [0], [-1], [9], [0], [-2], [1], [0], [-2], [0], [0], [2], [6], [0], [0], [-11], [0], [-4], [-2], [0], [1], [-7], [0], [-6], [0], [0], [-6], [0], [0], [0], [-1], [0], [9], [-4], [0], [-7], [-2], [0], [1], [0], [0], [-11], [-2], [0], [0], [-6], [0], [-4], [2], [0], [6], [2], [0], [-12], [0], [0], [-11], [-11], [0], [0], [-4], [0], [-2], [1], [0], [6], [1], [0], [-7], [0], [0], [-8], [-6], [0], [0]], 'ap': [[1], [0], [0], [-1], [-2], [-6], [-2], [6], [1], [9], [-2], [2], [-11], [-4], [-7], [0], [-4], [-7], [-11], [-6], [-4], [-12], [-11], [1], [-8], [2], [-8], [3], [7], [12], [-19], [12], [12], [16], [-1], [10], [4], [4], [-3], [-4], [2], [-13], [6], [-10], [8], [-18], [18], [23], [-8], [-7], [-10], [28], [1], [18], [12], [16], [3], [-14], [-22], [-3], [1], [-18], [-9], [6], [-22], [-2], [-8], [8], [-12], [-11], [-16], [30], [-16], [12], [-16], [32], [19], [-4], [-10], [38], [34], [22], [16], [2], [24], [-9], [18], [-10], [-21], [36], [36], [28], [-12], [0], [-24], [27], [-15], [-37], [-29], [-17], [35], [-24], [-37], [-2], [-20], [32], [3], [-30], [-12], [-22], [1], [-34], [-32], [-10], [8], [13], [-33], [33], [-26], [20], [-10], [6], [22], [4], [-44], [13], [-27], [-44], [21], [4], [40], [-15], [26], [-10], [-9], [-15], [12], [44], [-2], [-30], [-20], [-31], [15], [-35], [15], [38], [46], [-18], [14], [-45], [46], [-15], [3], [0], [33], [12], [-36], [-18], [52], [-41], [-51], [2], [-17], [-42], [54], [-19], [4], [0], [17], [18], [-48], [-9], [34], [-44], [-32], [42], [-28], [-30], [-7], [35], [32], [-58], [22], [6], [-49], [-39], [-16], [-11], [23], [8], [66], [-5], [-50], [-15], [-15], [66], [-15], [48], [6], [65], [-30], [6], [-24], [1], [40], [42], [-6], [25], [5], [-44], [-32], [-66], [55], [12], [38], [49], [43], [-46], [-31], [-68], [57], [58], [-63], [25], [-27], [6], [-62], [-10], [-35], [10], [40], [22], [2], [45], [-61], [-41], [-69], [50], [18], [30], [-3], [50], [-1], [49], [58], [6], [-69], [42], [38], [-59], [-42], [55], [68], [-41], [56], [-60], [10], [-23], [62], [-38], [-21], [49], [-50], [-68], [18], [20], [6], [-17], [47], [-24], [-46], [19], [-14], [-8], [-64], [31], [-19], [-10], [-31], [78], [0], [-10], [-4], [-5], [55], [52], [78], [-4], [-40], [-5], [82], [12], [-54], [30], [26], [-45], [-66], [-72], [-56], [-12], [-50], [-48], [2], [48], [-16], [-70], [47], [53], [62], [-36], [0], [-3], [-66], [-39], [-56], [29], [8], [50], [-64], [-78], [20], [22], [-42], [-28], [72], [17], [30], [21], [85], [88], [37], [-74], [-4], [92], [-36], [45], [31], [-36], [1], [-16], [-24], [-52], [19], [-76], [34], [0], [54], [-53], [-28], [24], [-28], [54], [-63], [9], [65], [-78], [48], [-84], [-44], [67], [44], [15], [-36], [-86], [-84], [-10], [-66], [-9], [-78], [-46], [8], [49], [27], [-60], [12], [-50], [44], [12], [3], [82], [-81], [86], [-35], [50], [-30], [24], [18], [-44], [33], [-77], [-37], [-42], [-48], [-68], [-64], [-40], [-16], [-46], [-40], [42], [-53], [-20], [88], [42], [-21], [62], [-36], [-21], [49], [-24], [-8], [36], [27], [52], [38], [67], [58], [48], [28], [15], [-93], [-20], [16], [-12], [-86], [-84], [-73], [-58], [-18], [-32]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 103582791463079890, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4050.2.a.x', 'level': 4050, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [8, 10, 10, 10, 11, 8, 7, 12], 'Nk2': 16200, 'analytic_conductor': 32.339412818618555, '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': [4050, 1, [2351, 3727], [1, 1]], 'conrey_index': 1, 'cusp_dim': 739, 'dim': 76, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23, 41], 'hecke_orbit_code': 33558482, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '4050.2.a', 'level': 4050, '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, 5], 'level_radical': 30, 'mf_dim': 882, 'mf_new_dim': 76, 'num_forms': 54, 'plus_dim': 33, 'prim_orbit_index': 1, 'relative_dim': 76, 'sturm_bound': 1620, 'trace_bound': 19, 'trace_display': [0, 0, 0, -4], 'traces': [76, 0, 0, 76, 0, 0, -4, 0, 0, 0, 0, 0, -10, 0, 0, 76, 0, 0, -10, 0, 0, -6, 0, 0, 0, 0, 0, -4, 0, 0, 8, 0, 0, -12, 0, 0, 2, 0, 0, 0, 0, 0, -34, 0, 0, 12, 0, 0, 60, 0, 0, -10, 0, 0, 0, 0, 0, 6, 0, 0, 26, 0, 0, 76, 0, 0, 26, 0, 0, 0, 0, 0, -16, 0, 0, -10, 0, 0, 32, 0, 0, -18, 0, 0, 0, 0, 0, -6, 0, 0, 16, 0, 0, -12, 0, 0, 14, 0, 0, 0, 0, 0, 68, 0, 0, -36, 0, 0, 50, 0, 0, -4, 0, 0, 0, 0, 0, 30, 0, 0, 142, 0, 0, 8, 0, 0, 68, 0, 0, 0, 0, 0, 52, 0, 0, -12, 0, 0, 26, 0, 0, 48, 0, 0, 0, 0, 0, 2, 0, 0, 92, 0, 0, -36, 0, 0, 26, 0, 0, 0, 0, 0, 104, 0, 0, 72, 0, 0, 42, 0, 0, -34, 0, 0, 0, 0, 0, 6, 0, 0, 8, 0, 0, 12, 0, 0, 18, 0, 0, 0, 0, 0, 20, 0, 0, 60, 0, 0, -76, 0, 0, -12, 0, 0, 0, 0, 0, -10, 0, 0, -64, 0, 0, 54, 0, 0, -56, 0, 0, 0, 0, 0, 20, 0, 0, 150, 0, 0, 14, 0, 0, 6, 0, 0, 0, 0, 0, 84, 0, 0, 44, 0, 0, 26, 0, 0, 4, 0, 0, 0, 0, 0, -108, 0, 0, 76, 0, 0, -104, 0, 0, 96, 0, 0, 0, 0, 0, 26, 0, 0, -40, 0, 0, 84, 0, 0, -88, 0, 0, 0, 0, 0, 8, 0, 0, 60, 0, 0, 172, 0, 0, -16, 0, 0, 0, 0, 0, 30, 0, 0, -20, 0, 0, -10, 0, 0, 50, 0, 0, 0, 0, 0, -196, 0, 0, 32, 0, 0, -36, 0, 0, -72, 0, 0, 0, 0, 0, -18, 0, 0, -88, 0, 0, 96, 0, 0, 26, 0, 0, 0, 0, 0, -104, 0, 0, 6, 0, 0, -52, 0, 0, -6, 0, 0, 0, 0, 0, 48, 0, 0, 54, 0, 0, 16, 0, 0, 56, 0, 0, 0, 0, 0, 56, 0, 0, -12, 0, 0, -82, 0, 0, 60, 0, 0, 0, 0, 0, 14, 0, 0, -12, 0, 0, 138, 0, 0, -94, 0, 0, 0, 0, 0, 40, 0, 0, -120, 0, 0, -124, 0, 0, 68, 0, 0, 0, 0, 0, 6, 0, 0, 146, 0, 0, -36, 0, 0, -80, 0, 0, 0, 0, 0, 68, 0, 0, 50, 0, 0, 176, 0, 0, -150, 0, 0, 0, 0, 0, -4, 0, 0, 78, 0, 0, -90, 0, 0, -52, 0, 0, 0, 0, 0, -184, 0, 0, -132, 0, 0, -116, 0, 0, 30, 0, 0, 0, 0, 0, -60, 0, 0, 22, 0, 0, 142, 0, 0, -148, 0, 0, 0, 0, 0, 90, 0, 0, 8, 0, 0, -70, 0, 0, -126, 0, 0, 0, 0, 0, 68, 0, 0, -140, 0, 0, -84, 0, 0, -108, 0, 0, 0, 0, 0, 80, 0, 0, -36, 0, 0, -68, 0, 0, 52, 0, 0, 0, 0, 0, 18, 0, 0, -238, 0, 0, -12, 0, 0, -82, 0, 0, 0, 0, 0, -56, 0, 0, 26, 0, 0, 196, 0, 0, -138, 0, 0, 0, 0, 0, 48, 0, 0, 26, 0, 0, -228, 0, 0, 224, 0, 0, 0, 0, 0, -216, 0, 0, 78, 0, 0, 64, 0, 0, 2, 0, 0, 0, 0, 0, -72, 0, 0, -136, 0, 0, 92, 0, 0, -112, 0, 0, 0, 0, 0, -196, 0, 0, -36, 0, 0, -262, 0, 0, 84, 0, 0, 0, 0, 0, 26, 0, 0, -280, 0, 0, -18, 0, 0, 246, 0, 0, 0, 0, 0, 62, 0, 0, -54, 0, 0, -42, 0, 0, 104, 0, 0, 0, 0, 0, 72, 0, 0, -166, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 42, 0, 0, 148, 0, 0, 24, 0, 0, 0, 0, 0, -34, 0, 0, -64, 0, 0, -102, 0, 0, 54, 0, 0, 0, 0, 0, 208, 0, 0, -66, 0, 0, -166, 0, 0, 6, 0, 0, 0, 0, 0, -60, 0, 0, -56, 0, 0, 8, 0, 0, 92, 0, 0, 0, 0, 0, -136, 0, 0, 12, 0, 0, -502, 0, 0, -24, 0, 0, 0, 0, 0, 18, 0, 0, -544, 0, 0, 78, 0, 0, 8, 0, 0, 0, 0, 0, 352, 0, 0, -144, 0, 0, 62, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 60, 0, 0, 200, 0, 0, 0, 0, 0, -146, 0, 0, -76, 0, 0, -204, 0, 0, 36, 0, 0, 0, 0, 0, -12, 0, 0, -274, 0, 0, -216, 0, 0, -62, 0, 0, 0, 0, 0, -136, 0, 0, -36, 0, 0, -352, 0, 0, -10, 0, 0, 0, 0, 0, 24, 0, 0, -62, 0, 0, -64, 0, 0, -64, 0, 0, 0, 0, 0, 56, 0, 0, 54, 0, 0, -274, 0, 0, -108, 0, 0, 0, 0, 0, -56, 0, 0, -284, 0, 0, 84, 0, 0, 146, 0, 0, 0, 0, 0, 26, 0, 0, -186, 0, 0, -128, 0, 0, 20, 0, 0, 0, 0, 0, -114, 0, 0, 468, 0, 0, 150, 0, 0, 26, 0, 0, 0, 0, 0, 216, 0, 0, 14, 0, 0, -100, 0, 0, 144, 0, 0, 0, 0, 0, 6, 0, 0, -114, 0, 0, -90, 0, 0, -10, 0, 0, 0, 0, 0, 36, 0, 0, 54, 0, 0, -14, 0, 0, 84, 0, 0, 0, 0, 0, -36, 0, 0, 60, 0, 0, 44, 0, 0, 140, 0, 0, 0, 0, 0, 244, 0, 0, 26, 0, 0, 24, 0, 0, -174, 0, 0, 0, 0, 0, 4, 0, 0, 104, 0, 0, 288, 0, 0, 218, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1185661
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '90.2.i.a', 'target_level': 90, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1185662
{'conductor': 45, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '270.2.i.a', 'target_level': 270, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1185663
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '450.2.e.b', 'target_level': 450, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1185664
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '450.2.e.g', 'target_level': 450, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1185665
{'conductor': 180, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '720.2.by.a', 'target_level': 720, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 1185666
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '810.2.c.b', 'target_level': 810, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1185667
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '810.2.c.c', 'target_level': 810, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1185668
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1350.2.e.a', 'target_level': 1350, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1185669
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1350.2.e.i', 'target_level': 1350, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1185670
{'conductor': 180, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2160.2.by.b', 'target_level': 2160, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1185671
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4050.2.a.g', 'target_level': 4050, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1185672
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4050.2.a.j', 'target_level': 4050, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1185673
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '4050.2.a.x', 'target_level': 4050, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1185674
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4050.2.a.x', 'source_level': 4050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '4050.2.a.be', 'target_level': 4050, 'twist_class_label': '90.2.i.a', 'twist_class_level': 90, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3483900
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 2}
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id: 3483901
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 3}
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id: 3483902
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 5}
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id: 3483903
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 7}
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id: 3483904
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 11}
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id: 3483905
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 13}
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id: 3483906
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 17}
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id: 3483907
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 19}
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id: 3483908
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 23}
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id: 3483909
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 29}
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id: 3483910
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 31}
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id: 3483911
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 37}
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id: 3483912
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 41}
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id: 3483913
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 43}
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id: 3483914
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 47}
-
id: 3483915
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 53}
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id: 3483916
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 59}
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id: 3483917
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 61}
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id: 3483918
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 67}
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id: 3483919
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 71}
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id: 3483920
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 73}
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id: 3483921
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 79}
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id: 3483922
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 83}
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id: 3483923
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 89}
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id: 3483924
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 103582791463079890, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '4050.2.a.x', 'level': 4050, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65908915
{'hecke_orbit_code': 103582791463079890, 'n': 1, 'trace_an': 1}
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id: 65908916
{'hecke_orbit_code': 103582791463079890, 'n': 2, 'trace_an': 1}
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id: 65908917
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