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mf_newforms • Show schema
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{'Nk2': 22050, 'analytic_conductor': 103.52433762893295, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': -1, 'char_values': [450, 4, [101, 127], [4, 1]], 'cm_discs': [], 'conrey_index': 307, 'conrey_indexes': [307, 343], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [122018, -494, 1]], [11, [1402, 1]], [17, [13447298, -5186, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504012061671874, 'hecke_ring_generator_nbound': 7, '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, 5, 3, -1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '450.7.g.b', 'level': 450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '10.7.c.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-4-4i)q^{2}+2^{5}iq^{4}+(247+247i)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '6.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.7.g', 'trace_display': [-8, 0, 0, 494], 'trace_hash': 943156336051363718, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.926', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.791', '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], [-4, -4], [0, 0], [0, 32], [0, 0], [0, 0], [247, 247], [128, -128], [0, 0], [0, 0], [-1402, 0], [0, 0], [2703, -2703], [0, -1976], [0, 0], [-1024, 0], [2593, 2593], [0, 0], [0, 1720], [0, 0], [0, 0], [5608, 5608], [2137, -2137], [0, 0], [0, 0], [-21624, 0], [0, 0], [-7904, 7904], [0, -30520], [0, 0], [-37838, 0], [4096, 4096], [0, 0], [0, -20744], [0, 0], [0, 0], [-37113, -37113], [6880, -6880], [0, 0], [0, 0], [35438, 0], [0, 0], [-39177, 39177], [0, -44864], [0, 0], [-17096, 0], [95193, 95193], [0, 0], [0, 4369], [0, 0], [0, 0], [86496, 86496], [36017, -36017], [0, 0], [0, 0], [63232, 0], [0, 0], [-122080, 122080], [0, 35960], [0, 0], [83322, 0], [151352, 151352], [0, 0], [0, -32768], [0, 0], [0, 0], [-60833, -60833], [-82976, 82976], [0, 0], [0, 0], [40318, 0], [0, 0], [129023, -129023], [0, 296904], [0, 0], [-55040, 0], [-346294, -346294], [0, 0], [0, 524640], [0, 0], [0, 0], [-141752, -141752], [-114423, 114423], [0, 0], [0, 0], [313416, 0], [0, 0], [-179456, 179456], [0, -187280], [0, 0], [1335282, 0], [68384, 68384], [0, 0], [0, -761544], [0, 0], [0, 0], [-532833, -532833], [17476, -17476], [0, 0], [0, 0]], 'ap': [[-4, -4], [0, 0], [0, 0], [247, 247], [-1402, 0], [2703, -2703], [2593, 2593], [0, 1720], [2137, -2137], [0, -30520], [-37838, 0], [-37113, -37113], [35438, 0], [-39177, 39177], [95193, 95193], [36017, -36017], [0, 35960], [83322, 0], [-60833, -60833], [40318, 0], [129023, -129023], [0, 524640], [-114423, 114423], [0, -187280], [-532833, -532833], [1705078, 0], [665063, -665063], [309073, 309073], [0, -362440], [722657, -722657], [1946407, 1946407], [-3756202, 0], [1042833, 1042833], [0, -3247000], [0, -5764200], [1032802, 0], [-2300553, -2300553], [4021783, -4021783], [-710167, -710167], [3776497, -3776497], [0, -5463800], [9024362, 0], [4021198, 0], [1054143, -1054143], [-7294887, -7294887], [0, -14117040], [-12318838, 0], [-328857, 328857], [-7950847, -7950847], [0, 22869480], [8590497, -8590497], [0, -9665760], [18592642, 0], [-11935002, 0], [15430433, 15430433], [12710777, -12710777], [0, -2541880], [6133842, 0], [3005127, 3005127], [6493518, 0], [27160663, -27160663], [-4787343, 4787343], [-9723393, -9723393], [-7033442, 0], [-29889537, 29889537], [21126633, 21126633], [-42327878, 0], [14621727, 14621727], [45979153, 45979153], [0, -50335880], [-15913983, 15913983], [0, 44702320], [27062407, 27062407], [38235503, -38235503], [0, 2506120], [47209497, -47209497], [0, -100158600], [72628247, 72628247], [-52629282, 0], [0, 110687280], [0, 9924840], [34695722, 0], [27297518, 0], [-45001697, 45001697], [0, 47998640], [-33663063, 33663063], [0, -86478880], [3725007, 3725007], [-40711162, 0], [26911303, -26911303], [138966433, 138966433], [0, 31994240], [79644087, 79644087], [-153964922, 0], [0, -102698440], [84362457, -84362457], [0, -40377400], [36816078, 0], [160053783, -160053783], [13002202, 0], [-72831873, -72831873], [-45540087, -45540087], [-185011863, 185011863], [0, 71721040], [309477722, 0], [21586847, 21586847], [-230927247, -230927247], [-26643263, 26643263], [0, 314489360], [-250382158, 0], [-94032633, -94032633], [172962543, -172962543], [131974353, 131974353], [0, -422583960], [295144162, 0], [-385292642, 0], [-175997577, 175997577], [-100834807, -100834807], [192563217, -192563217], [0, -131171960], [-197154358, 0], [193252703, -193252703], [-207906407, -207906407], [-357631863, 357631863], [-176747958, 0], [312897158, 0], [0, 107924200], [0, -183233440], [-298719273, -298719273], [-434597617, 434597617], [0, -577645480], [97169657, -97169657], [696309522, 0], [226996167, 226996167], [336900398, 0], [0, -253257280], [92202897, -92202897], [-188154433, -188154433], [-44216727, -44216727], [0, 1046074000], [-648376198, 0], [219206198, 0], [-540312857, 540312857], [-2571567, -2571567], [0, -466596520], [0, -523913360], [157695023, -157695023], [-371032527, -371032527], [0, 920945480], [-354269063, 354269063], [-540230313, -540230313], [-518142082, 0], [-434467177, 434467177], [-833859927, -833859927], [428686127, 428686127], [-1253135762, 0], [0, 535804400], [0, -66393760], [-538038673, -538038673], [-1178286522, 0], [934402433, 934402433], [-518004543, 518004543], [261561047, 261561047], [459359878, 0], [-86052927, -86052927], [-900900103, 900900103], [-271537358, 0], [363499847, 363499847]], 'char_orbit_index': 7, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4504012061671874, 'hecke_ring_character_values': [[101, [1, 0]], [127, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '450.7.g.b', 'level': 450, 'maxp': 997, 'weight': 7}
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mf_newspaces • Show schema
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{'Nk2': 22050, 'analytic_conductor': 103.52433762893295, 'char_conductor': 5, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': -1, 'char_values': [450, 4, [101, 127], [4, 1]], 'conrey_index': 307, 'cusp_dim': 1032, 'dim': 90, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 412434301378, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 8], 'label': '450.7.g', 'level': 450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1128, 'mf_new_dim': 90, 'num_forms': 20, 'prim_orbit_index': 3, 'relative_dim': 45, 'sturm_bound': 630, 'trace_bound': 7, 'trace_display': [-8, 0, 0, -120], 'traces': [90, -8, 0, 0, 0, 0, -120, 256, 0, 0, -5552, 0, -3786, 0, 0, -92160, 6638, 0, 0, 0, 0, -20544, 51680, 0, 0, -1488, 0, 3840, 0, 0, 209952, 8192, 0, 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0, 0, -3817528224, -783253504, 0, 0, 0, 0, 4497389838, 3214429216, 0, 0], 'weight': 7, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 333265
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.7.g.b', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '10.7.c.a', 'target_level': 10, 'twist_class_label': '10.7.c.a', 'twist_class_level': 10, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 7}
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id: 333266
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.7.g.b', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '10.7.c.a', 'target_level': 10, 'twist_class_label': '10.7.c.a', 'twist_class_level': 10, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 7}
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id: 333267
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.7.g.b', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '50.7.c.c', 'target_level': 50, 'twist_class_label': '10.7.c.a', 'twist_class_level': 10, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 333268
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.7.g.b', 'source_level': 450, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '50.7.c.c', 'target_level': 50, 'twist_class_label': '10.7.c.a', 'twist_class_level': 10, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 7}
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id: 333269
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.7.g.b', 'source_level': 450, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '80.7.p.a', 'target_level': 80, 'twist_class_label': '10.7.c.a', 'twist_class_level': 10, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 7}
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id: 333270
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.7.g.b', 'source_level': 450, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '80.7.p.a', 'target_level': 80, 'twist_class_label': '10.7.c.a', 'twist_class_level': 10, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 7}
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id: 333271
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.7.g.b', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '90.7.g.a', 'target_level': 90, 'twist_class_label': '10.7.c.a', 'twist_class_level': 10, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 7}
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id: 333272
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.7.g.b', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '90.7.g.a', 'target_level': 90, 'twist_class_label': '10.7.c.a', 'twist_class_level': 10, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 7}
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id: 333273
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.7.g.b', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '450.7.g.b', 'target_level': 450, 'twist_class_label': '10.7.c.a', 'twist_class_level': 10, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 7}
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id: 333274
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '450.7.g.b', 'source_level': 450, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '450.7.g.b', 'target_level': 450, 'twist_class_label': '10.7.c.a', 'twist_class_level': 10, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 7}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 913450
{'charpoly_factorization': [[[32, 8, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 2}
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id: 913451
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504012061671874, 'p': 3}
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id: 913452
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504012061671874, 'p': 5}
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id: 913453
{'charpoly_factorization': [[[122018, -494, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 7}
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id: 913454
{'charpoly_factorization': [[[1402, 1], 2]], 'hecke_orbit_code': 4504012061671874, 'p': 11}
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id: 913455
{'charpoly_factorization': [[[14612418, -5406, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 13}
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id: 913456
{'charpoly_factorization': [[[13447298, -5186, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 17}
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id: 913457
{'charpoly_factorization': [[[2958400, 0, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 19}
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id: 913458
{'charpoly_factorization': [[[9133538, -4274, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 23}
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id: 913459
{'charpoly_factorization': [[[931470400, 0, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 29}
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id: 913460
{'charpoly_factorization': [[[37838, 1], 2]], 'hecke_orbit_code': 4504012061671874, 'p': 31}
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id: 913461
{'charpoly_factorization': [[[2754749538, 74226, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 37}
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id: 913462
{'charpoly_factorization': [[[-35438, 1], 2]], 'hecke_orbit_code': 4504012061671874, 'p': 41}
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id: 913463
{'charpoly_factorization': [[[3069674658, 78354, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 43}
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id: 913464
{'charpoly_factorization': [[[18123414498, -190386, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 47}
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id: 913465
{'charpoly_factorization': [[[2594448578, -72034, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 53}
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id: 913466
{'charpoly_factorization': [[[1293121600, 0, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 59}
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id: 913467
{'charpoly_factorization': [[[-83322, 1], 2]], 'hecke_orbit_code': 4504012061671874, 'p': 61}
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id: 913468
{'charpoly_factorization': [[[7401307778, 121666, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 67}
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id: 913469
{'charpoly_factorization': [[[-40318, 1], 2]], 'hecke_orbit_code': 4504012061671874, 'p': 71}
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id: 913470
{'charpoly_factorization': [[[33293869058, -258046, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 73}
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id: 913471
{'charpoly_factorization': [[[275247129600, 0, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 79}
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id: 913472
{'charpoly_factorization': [[[26185245858, 228846, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 83}
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id: 913473
{'charpoly_factorization': [[[35073798400, 0, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 89}
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id: 913474
{'charpoly_factorization': [[[567822011778, 1065666, 1], 1]], 'hecke_orbit_code': 4504012061671874, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '450.7.g.b', 'level': 450, 'portrait': 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', 'weight': 7}
-
mf_hecke_traces • Show schema
Hide schema
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id: 88791000
{'hecke_orbit_code': 4504012061671874, 'n': 1, 'trace_an': 2}
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id: 88791001
{'hecke_orbit_code': 4504012061671874, 'n': 2, 'trace_an': -8}
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id: 88791002
{'hecke_orbit_code': 4504012061671874, 'n': 3, 'trace_an': 0}
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id: 88791003
{'hecke_orbit_code': 4504012061671874, 'n': 4, 'trace_an': 0}
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id: 88791004
{'hecke_orbit_code': 4504012061671874, 'n': 5, 'trace_an': 0}
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id: 88791005
{'hecke_orbit_code': 4504012061671874, 'n': 6, 'trace_an': 0}
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id: 88791006
{'hecke_orbit_code': 4504012061671874, 'n': 7, 'trace_an': 494}
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id: 88791007
{'hecke_orbit_code': 4504012061671874, 'n': 8, 'trace_an': 256}
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id: 88791008
{'hecke_orbit_code': 4504012061671874, 'n': 9, 'trace_an': 0}
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id: 88791009
{'hecke_orbit_code': 4504012061671874, 'n': 10, 'trace_an': 0}
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id: 88791010
{'hecke_orbit_code': 4504012061671874, 'n': 11, 'trace_an': -2804}
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id: 88791011
{'hecke_orbit_code': 4504012061671874, 'n': 12, 'trace_an': 0}
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id: 88791012
{'hecke_orbit_code': 4504012061671874, 'n': 13, 'trace_an': 5406}
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id: 88791013
{'hecke_orbit_code': 4504012061671874, 'n': 14, 'trace_an': 0}
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id: 88791014
{'hecke_orbit_code': 4504012061671874, 'n': 15, 'trace_an': 0}
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id: 88791015
{'hecke_orbit_code': 4504012061671874, 'n': 16, 'trace_an': -2048}
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id: 88791016
{'hecke_orbit_code': 4504012061671874, 'n': 17, 'trace_an': 5186}
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id: 88791017
{'hecke_orbit_code': 4504012061671874, 'n': 18, 'trace_an': 0}
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id: 88791018
{'hecke_orbit_code': 4504012061671874, 'n': 19, 'trace_an': 0}
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id: 88791019
{'hecke_orbit_code': 4504012061671874, 'n': 20, 'trace_an': 0}
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id: 88791020
{'hecke_orbit_code': 4504012061671874, 'n': 21, 'trace_an': 0}
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id: 88791021
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