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mf_newforms • Show schema
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{'Nk2': 784, 'analytic_conductor': 2.89109359028129, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [49, 3, [3], [2]], 'cm_discs': [], 'conrey_index': 18, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -1, 1]], [3, [4, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737133432881, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '49.4.c.b', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '7.4.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(-2+2\\zeta_{6})q^{3}+(7-7\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '49.4.c', 'trace_display': [1, -2, 16, 0], 'trace_hash': 621626901603175734, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.260', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [-2, 2], [7, -7], [0, 16], [-2, 0], [0, 0], [15, 0], [0, 23], [-16, 16], [8, -8], [0, 14], [-28, 0], [0, 0], [-32, 0], [0, -41], [54, -54], [-23, 23], [0, -110], [112, 0], [0, 0], [8, 0], [0, -48], [-30, 30], [-131, 131], [0, -28], [-100, 0], [0, 0], [-110, 0], [0, -32], [12, -12], [161, -161], [0, 16], [54, 0], [0, 0], [161, 0], [0, 246], [110, -110], [56, -56], [0, 240], [-182, 0], [0, 0], [128, 0], [0, -56], [-368, 368], [48, -48], [0, 324], [82, 0], [0, 0], [-131, 0], [0, 108], [-196, 196], [162, -162], [0, -100], [128, 0], [0, 0], [220, 0], [0, -110], [810, -810], [-224, 224], [0, -488], [12, 0], [0, 0], [-167, 0], [0, -448], [-16, 16], [-244, 244], [0, -378], [96, 0], [0, 0], [-768, 0], [0, 345], [-702, 702], [-246, 246], [0, -262], [-770, 0], [0, 0], [56, 0], [0, -440], [656, -656], [-421, 421], [0, -182], [1302, 0], [0, 0], [864, 0], [0, 128], [220, -220], [120, -120], [0, 730], [-368, 0], [0, 0], [-336, 0], [0, 24], [-324, 324], [1760, -1760], [0, 322], [-294, 0], [0, 0], [184, 0], [0, 917]], 'ap': [[0, 1], [-2, 2], [0, 16], [0, 0], [8, -8], [-28, 0], [54, -54], [0, -110], [0, -48], [-110, 0], [12, -12], [0, 246], [-182, 0], [128, 0], [0, 324], [162, -162], [810, -810], [0, -488], [-244, 244], [-768, 0], [-702, 702], [0, -440], [1302, 0], [0, 730], [-294, 0], [-688, 688], [0, 1388], [0, -244], [-90, 90], [1318, 0], [-1776, 0], [0, -1118], [-2274, 2274], [210, 0], [0, 2010], [-1112, 1112], [124, -124], [0, -2008], [-2884, 0], [0, 2228], [820, -820], [-3892, 0], [0, 5048], [2962, -2962], [3334, 0], [1860, -1860], [-4268, 0], [5432, 0], [-2046, 2046], [0, -2980], [0, -4458], [4440, 0], [3302, -3302], [-1582, 0], [0, 2354], [3872, -3872], [180, -180], [0, 2032], [5426, -5426], [842, 0], [-3782, 3782], [4312, 0], [-2674, 0], [-3768, 3768], [0, 2438], [0, 3186], [0, -8672], [814, 0], [-9344, 9344], [5180, 0], [12178, -12178], [0, -440], [-9816, 9816], [0, 442], [-3960, 0], [0, 6708], [13350, -13350], [0, -1356], [0, -6222], [5150, -5150], [-2310, 0], [1262, 0], [4488, -4488], [-17038, 0], [0, 16200], [0, 8772], [2130, 0], [0, -10534], [9268, 0], [-9392, 0], [0, -10806], [4940, -4940], [5216, -5216], [4412, 0], [0, -19060], [-12768, 0], [0, -5500], [-7338, 7338], [0, -17582], [0, 1618], [16144, 0], [-4654, 4654], [10078, -10078], [0, 5930], [19048, -19048], [-14366, 14366], [3626, 0], [0, -1062], [10200, -10200], [25158, 0], [0, 25664], [-19018, 19018], [17334, 0], [18730, -18730], [-6928, 0], [-16302, 16302], [-4718, 0], [-21436, 21436], [0, -4458], [-26640, 0], [7432, -7432], [58, 0], [0, -21516], [-18108, 18108], [0, -10078], [18762, 0], [0, -6810], [0, 4860], [13636, 0], [0, 2088], [5160, -5160], [-28152, 0], [0, 16808], [21674, 0], [0, 7422], [-13790, 0], [-6232, 6232], [-1766, 1766], [-1204, 0], [7050, -7050], [-23282, 0], [0, -10142], [9192, -9192], [-46716, 0], [11240, -11240], [-700, 0], [37492, 0], [28894, -28894], [0, -2770], [0, -17688], [0, 33566], [16758, 0], [11468, 0], [0, -50356], [8716, -8716], [7632, 0], [0, 23080], [0, 45110], [-16674, 0], [43832, -43832], [0, 736], [38138, 0], [26224, 0], [0, 18762], [-38394, 38394], [5388, -5388], [-25472, 25472], [-17096, 17096]], 'char_orbit_index': 3, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4503737133432881, 'hecke_ring_character_values': [[3, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '49.4.c.b', 'level': 49, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 784, 'analytic_conductor': 2.89109359028129, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [49, 3, [3], [2]], 'conrey_index': 18, 'cusp_dim': 20, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 137506062385, 'hecke_orbit_dims': [2, 2, 2, 2, 8], 'label': '49.4.c', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 36, 'mf_new_dim': 24, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 8, 'sturm_bound': 18, 'trace_bound': 3, 'trace_display': [3, 7, 7, 0], 'traces': [16, 3, 7, -33, 7, -28, 0, 54, 11, 14, -11, -28, 28, 0, -158, 19, -21, 145, 49, 56, 0, 12, -249, -168, 67, -28, 70, 0, -136, 390, 147, 277, -35, 84, 0, -550, -389, 98, -742, 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-6538, -3290, 0, 223416, -109180, -14301, 128604, 20398, 4872, 0, -134064, -123124, -1540, -80287, 23520, -46774, 0, 201722, 74676, 24871, -90222, -7665, -67536], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 40024
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '7.4.a.a', 'target_level': 7, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 40025
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.4.a.b', 'target_level': 49, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 40026
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.4.c.b', 'target_level': 49, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 40027
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.4.c.b', 'target_level': 49, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 40028
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '49.4.c.c', 'target_level': 49, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 40029
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '49.4.c.c', 'target_level': 49, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 40030
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '63.4.a.b', 'target_level': 63, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 40031
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '112.4.a.f', 'target_level': 112, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 40032
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.4.a.b', 'target_level': 175, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 40033
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.4.b.b', 'target_level': 175, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 40034
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '441.4.a.i', 'target_level': 441, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 40035
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '441.4.e.e', 'target_level': 441, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 40036
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '441.4.e.e', 'target_level': 441, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 40037
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '441.4.e.h', 'target_level': 441, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 40038
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '441.4.e.h', 'target_level': 441, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 40039
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '448.4.a.e', 'target_level': 448, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 40040
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '448.4.a.i', 'target_level': 448, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 40041
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '784.4.a.g', 'target_level': 784, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 40042
{'conductor': 77, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '847.4.a.b', 'target_level': 847, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '77.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 40043
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1008.4.a.c', 'target_level': 1008, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 40044
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1183.4.a.b', 'target_level': 1183, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '91.s', 'twisting_char_orbit': 19, 'weight': 4}
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id: 40045
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1225.4.a.j', 'target_level': 1225, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 40046
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1575.4.a.e', 'target_level': 1575, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 40047
{'conductor': 119, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '49.4.c.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2023.4.a.a', 'target_level': 2023, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '119.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 163725
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 2}
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id: 163726
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 3}
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id: 163727
{'charpoly_factorization': [[[256, -16, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 5}
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id: 163728
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737133432881, 'p': 7}
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id: 163729
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 11}
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id: 163730
{'charpoly_factorization': [[[28, 1], 2]], 'hecke_orbit_code': 4503737133432881, 'p': 13}
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id: 163731
{'charpoly_factorization': [[[2916, -54, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 17}
-
id: 163732
{'charpoly_factorization': [[[12100, 110, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 19}
-
id: 163733
{'charpoly_factorization': [[[2304, 48, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 23}
-
id: 163734
{'charpoly_factorization': [[[110, 1], 2]], 'hecke_orbit_code': 4503737133432881, 'p': 29}
-
id: 163735
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 31}
-
id: 163736
{'charpoly_factorization': [[[60516, -246, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 37}
-
id: 163737
{'charpoly_factorization': [[[182, 1], 2]], 'hecke_orbit_code': 4503737133432881, 'p': 41}
-
id: 163738
{'charpoly_factorization': [[[-128, 1], 2]], 'hecke_orbit_code': 4503737133432881, 'p': 43}
-
id: 163739
{'charpoly_factorization': [[[104976, -324, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 47}
-
id: 163740
{'charpoly_factorization': [[[26244, -162, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 53}
-
id: 163741
{'charpoly_factorization': [[[656100, -810, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 59}
-
id: 163742
{'charpoly_factorization': [[[238144, 488, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 61}
-
id: 163743
{'charpoly_factorization': [[[59536, 244, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 67}
-
id: 163744
{'charpoly_factorization': [[[768, 1], 2]], 'hecke_orbit_code': 4503737133432881, 'p': 71}
-
id: 163745
{'charpoly_factorization': [[[492804, 702, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 73}
-
id: 163746
{'charpoly_factorization': [[[193600, 440, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 79}
-
id: 163747
{'charpoly_factorization': [[[-1302, 1], 2]], 'hecke_orbit_code': 4503737133432881, 'p': 83}
-
id: 163748
{'charpoly_factorization': [[[532900, -730, 1], 1]], 'hecke_orbit_code': 4503737133432881, 'p': 89}
-
id: 163749
{'charpoly_factorization': [[[294, 1], 2]], 'hecke_orbit_code': 4503737133432881, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '49.4.c.b', 'level': 49, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 21143851
{'hecke_orbit_code': 4503737133432881, 'n': 1, 'trace_an': 2}
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id: 21143852
{'hecke_orbit_code': 4503737133432881, 'n': 2, 'trace_an': 1}
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id: 21143853
{'hecke_orbit_code': 4503737133432881, 'n': 3, 'trace_an': -2}
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id: 21143854
{'hecke_orbit_code': 4503737133432881, 'n': 4, 'trace_an': 7}
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id: 21143855
{'hecke_orbit_code': 4503737133432881, 'n': 5, 'trace_an': 16}
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id: 21143856
{'hecke_orbit_code': 4503737133432881, 'n': 6, 'trace_an': -4}
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id: 21143857
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