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mf_newforms • Show schema
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{'Nk2': 7056, 'analytic_conductor': 26.019842312531612, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [441, 3, [344, 199], [3, 1]], 'cm_discs': [], 'conrey_index': 226, 'conrey_indexes': [226, 361], '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]], [5, [256, -16, 1]], [13, [-28, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525472336609721, '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '441.4.e.h', 'level': 441, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '7.4.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{6}q^{2}+(7-7\\zeta_{6})q^{4}+2^{4}\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '441.4.e', 'trace_display': [-1, 0, 16, 0], 'trace_hash': 917048228842615791, '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}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 0], [7, -7], [0, 16], [0, 0], [0, 0], [-15, 0], [0, 0], [16, -16], [-8, 8], [0, 0], [28, 0], [0, 0], [0, 0], [0, -41], [54, -54], [0, 0], [0, 110], [112, 0], [0, 0], [8, 0], [0, 48], [0, 0], [-131, 131], [0, -28], [0, 0], [0, 0], [110, 0], [0, 0], [-12, 12], [-161, 161], [0, 0], [-54, 0], [0, 0], [0, 0], [0, 246], [110, -110], [0, 0], [0, -240], [-182, 0], [0, 0], [128, 0], [0, 56], [0, 0], [48, -48], [0, 324], [0, 0], [0, 0], [131, 0], [0, 0], [196, -196], [-162, 162], [0, 0], [-128, 0], [0, 0], [0, 0], [0, -110], [810, -810], [0, 0], [0, 488], [12, 0], [0, 0], [-167, 0], [0, 448], [0, 0], [-244, 244], [0, -378], [0, 0], [0, 0], [768, 0], [0, 0], [702, -702], [246, -246], [0, 0], [770, 0], [0, 0], [0, 0], [0, -440], [656, -656], [0, 0], [0, 182], [1302, 0], [0, 0], [864, 0], [0, -128], [0, 0], [120, -120], [0, 730], [0, 0], [0, 0], [336, 0], [0, 0], [324, -324], [-1760, 1760], [0, 0], [294, 0], [0, 0], [0, 0], [0, 917]], 'ap': [[0, -1], [0, 0], [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': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 31525472336609721, 'hecke_ring_character_values': [[344, [1, 0]], [199, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '441.4.e.h', 'level': 441, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 7056, 'analytic_conductor': 26.019842312531612, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [441, 3, [344, 199], [3, 1]], 'conrey_index': 226, 'cusp_dim': 304, 'dim': 96, 'eis_dim': 64, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 274945016249, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 6, 8, 8, 16], 'label': '441.4.e', 'level': 441, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 368, 'mf_new_dim': 104, 'num_forms': 26, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 224, 'trace_bound': 13, 'trace_display': [1, 0, -15, 0], 'traces': [96, 1, 0, -193, -15, 0, 0, 102, 0, -10, -29, 0, -172, 0, 0, -741, -111, 0, 53, 816, 0, 372, 41, 0, -825, -438, 0, 0, -784, 0, 19, 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0, 92046, 303408, 0, 49864, -35699, 0, 123234, -78642, 0, 0, -91520, 0, 41443, -134740, 0, 6628, 0, 0, 134903, 27210, 0, 73568, 78522, 0, 418480, -247287, 0, -363664, -80277, 0, 0, 322968, 0, -67560, -40787, 0, -127370, 0, 0, -312316, -74571, 0, 14278, 22368, 0, 1073816, 256548, 0, -118191, -11004, 0, 0, 516438, 0, -108829, -270900, 0, 744], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
-
id: 323421
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 323422
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 323423
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 323424
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 323425
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 323426
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 323427
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 323428
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '84.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 323429
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '105.o', 'twisting_char_orbit': 15, 'weight': 4}
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id: 323430
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '105.x', 'twisting_char_orbit': 24, 'weight': 4}
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id: 323431
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 323432
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 323433
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 323434
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 323435
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 323436
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '168.v', 'twisting_char_orbit': 22, 'weight': 4}
-
id: 323437
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '168.s', 'twisting_char_orbit': 19, 'weight': 4}
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id: 323438
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '84.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 323439
{'conductor': 231, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '231.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 323440
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 323441
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '273.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 323442
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '105.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 323443
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '35.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 323444
{'conductor': 357, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '441.4.e.h', 'source_level': 441, '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': '357.q', 'twisting_char_orbit': 17, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 893725
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 2}
-
id: 893726
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525472336609721, 'p': 3}
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id: 893727
{'charpoly_factorization': [[[256, -16, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 5}
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id: 893728
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 31525472336609721, 'p': 7}
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id: 893729
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 11}
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id: 893730
{'charpoly_factorization': [[[-28, 1], 2]], 'hecke_orbit_code': 31525472336609721, 'p': 13}
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id: 893731
{'charpoly_factorization': [[[2916, -54, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 17}
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id: 893732
{'charpoly_factorization': [[[12100, -110, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 19}
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id: 893733
{'charpoly_factorization': [[[2304, -48, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 23}
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id: 893734
{'charpoly_factorization': [[[-110, 1], 2]], 'hecke_orbit_code': 31525472336609721, 'p': 29}
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id: 893735
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 31}
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id: 893736
{'charpoly_factorization': [[[60516, -246, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 37}
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id: 893737
{'charpoly_factorization': [[[182, 1], 2]], 'hecke_orbit_code': 31525472336609721, 'p': 41}
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id: 893738
{'charpoly_factorization': [[[-128, 1], 2]], 'hecke_orbit_code': 31525472336609721, 'p': 43}
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id: 893739
{'charpoly_factorization': [[[104976, -324, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 47}
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id: 893740
{'charpoly_factorization': [[[26244, 162, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 53}
-
id: 893741
{'charpoly_factorization': [[[656100, -810, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 59}
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id: 893742
{'charpoly_factorization': [[[238144, -488, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 61}
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id: 893743
{'charpoly_factorization': [[[59536, 244, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 67}
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id: 893744
{'charpoly_factorization': [[[-768, 1], 2]], 'hecke_orbit_code': 31525472336609721, 'p': 71}
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id: 893745
{'charpoly_factorization': [[[492804, -702, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 73}
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id: 893746
{'charpoly_factorization': [[[193600, 440, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 79}
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id: 893747
{'charpoly_factorization': [[[-1302, 1], 2]], 'hecke_orbit_code': 31525472336609721, 'p': 83}
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id: 893748
{'charpoly_factorization': [[[532900, -730, 1], 1]], 'hecke_orbit_code': 31525472336609721, 'p': 89}
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id: 893749
{'charpoly_factorization': [[[-294, 1], 2]], 'hecke_orbit_code': 31525472336609721, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 8, 'label': '441.4.e.h', 'level': 441, 'portrait': 'data:image/png;base64,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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 193536000
{'hecke_orbit_code': 31525472336609721, 'n': 1, 'trace_an': 2}
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id: 193536001
{'hecke_orbit_code': 31525472336609721, 'n': 2, 'trace_an': -1}
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id: 193536002
{'hecke_orbit_code': 31525472336609721, 'n': 3, 'trace_an': 0}
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id: 193536003
{'hecke_orbit_code': 31525472336609721, 'n': 4, 'trace_an': 7}
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id: 193536004
{'hecke_orbit_code': 31525472336609721, 'n': 5, 'trace_an': 16}
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id: 193536005
{'hecke_orbit_code': 31525472336609721, 'n': 6, 'trace_an': 0}
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id: 193536006
{'hecke_orbit_code': 31525472336609721, 'n': 7, 'trace_an': 0}
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id: 193536007
{'hecke_orbit_code': 31525472336609721, 'n': 8, 'trace_an': -30}
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id: 193536008
{'hecke_orbit_code': 31525472336609721, 'n': 9, 'trace_an': 0}
-
id: 193536009
{'hecke_orbit_code': 31525472336609721, 'n': 10, 'trace_an': 16}
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id: 193536010
{'hecke_orbit_code': 31525472336609721, 'n': 11, 'trace_an': -8}
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id: 193536011
{'hecke_orbit_code': 31525472336609721, 'n': 12, 'trace_an': 0}
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id: 193536012
{'hecke_orbit_code': 31525472336609721, 'n': 13, 'trace_an': 56}
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id: 193536013
{'hecke_orbit_code': 31525472336609721, 'n': 14, 'trace_an': 0}
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id: 193536014
{'hecke_orbit_code': 31525472336609721, 'n': 15, 'trace_an': 0}
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id: 193536015
{'hecke_orbit_code': 31525472336609721, 'n': 16, 'trace_an': -41}
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id: 193536016
{'hecke_orbit_code': 31525472336609721, 'n': 17, 'trace_an': 54}
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id: 193536017
{'hecke_orbit_code': 31525472336609721, 'n': 18, 'trace_an': 0}
-
id: 193536018
{'hecke_orbit_code': 31525472336609721, 'n': 19, 'trace_an': 110}
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id: 193536019
{'hecke_orbit_code': 31525472336609721, 'n': 20, 'trace_an': 224}
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id: 193536020
{'hecke_orbit_code': 31525472336609721, 'n': 21, 'trace_an': 0}
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id: 193536021
{'hecke_orbit_code': 31525472336609721, 'n': 22, 'trace_an': 16}
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id: 193536022
{'hecke_orbit_code': 31525472336609721, 'n': 23, 'trace_an': 48}
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id: 193536023
{'hecke_orbit_code': 31525472336609721, 'n': 24, 'trace_an': 0}
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id: 193536024
{'hecke_orbit_code': 31525472336609721, 'n': 25, 'trace_an': -131}
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id: 193536025
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{'hecke_orbit_code': 31525472336609721, 'n': 995, 'trace_an': -59520}
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id: 193536995
{'hecke_orbit_code': 31525472336609721, 'n': 996, 'trace_an': 0}
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id: 193536996
{'hecke_orbit_code': 31525472336609721, 'n': 997, 'trace_an': 17096}
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id: 193536997
{'hecke_orbit_code': 31525472336609721, 'n': 998, 'trace_an': -19060}
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id: 193536998
{'hecke_orbit_code': 31525472336609721, 'n': 999, 'trace_an': 0}
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id: 193536999
{'hecke_orbit_code': 31525472336609721, 'n': 1000, 'trace_an': 2880}