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mf_newforms • Show schema
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{'Nk2': 2600, 'analytic_conductor': 5.190276131383225, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 12, 'char_parity': 1, 'char_values': [650, 12, [27, 301], [3, 11]], 'cm_discs': [], 'conrey_index': 7, 'dim': 8, 'field_disc': 56070144, 'field_disc_factorization': [[2, 12], [3, 4], [13, 2]], 'field_poly': [13, -38, 70, -74, 63, -34, 16, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 0, 24, -48, 2, 12, 12, 6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008504958354058, 'hecke_ring_generator_nbound': 3, '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, 65, 20, 1, 12, 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': True, 'label': '650.2.t.c', 'level': 650, '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, 5, 13], 'level_radical': 130, 'minimal_twist': '650.2.t.c', 'nf_label': '8.0.56070144.2', 'prim_orbit_index': 20, 'qexp_display': 'q+\\beta _{5}q^{2}+(-1-\\beta _{1}-\\beta _{2}+\\beta _{3}+\\beta _{5}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '650.2.t', 'trace_display': [0, -6, 0, 0], 'trace_hash': 1761357101408679388, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.463', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '179.842', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7656.779', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.102', 'prec': 17}, 'traces': [8, 0, -6, 4, 0, 6, 0, 0, 12, 0, -18, 0, -18, 0, 0, -4, 6, -8, 14, 0, 8, 18, 0, 6, 0, 0, -36, 0, 24, 0, -8, 0, 42, 0, 0, 12, 6, 16, 24, 0, 12, 22, 12, -12, 0, 0, 0, 6, -16, 0, 0, -6, 12, 36, 0, -12, 0, 12, 24, 0, 6, 10, 0, -8, 0, -12, -24, 6, -24, 0, -24, -4, 0, -30, 0, -2, -36, -10, 0, 0, 28, 12, -60, 22, 0, 12, 48, 6, -12, 0, -2, -12, -24, -12, 0, 0, -30, -24, -84, 0, 54, 0, 0, 6, 0, 6, 42, -36, 4, 0, -14, 0, -24, 18, 0, 0, -66, 12, -18, 0, -36, 0, -48, -10, 0, -24, -24, 0, -80, 0, 36, 42, 42, -12, 0, -6, 6, 0, 18, 0, -90, 12, -12, 0, 0, -6, 60, 12, 36, 0, -20, 2, 42, -78, 0, -18, 24, -6, -54, 0, 36, -60, 66, 12, 0, 18, 24, 8, -12, 0, 10, 24, -30, 0, 0, 6, -96, -12, -12, 0, 0, -46, -36, 12, 0, 24, 0, 0, 28, 0, -42, 6, 84, -36, 0, -32, 114, 54, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2600, 'analytic_conductor': 5.190276131383225, 'char_conductor': 65, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 12, 'char_parity': 1, 'char_values': [650, 12, [27, 301], [3, 11]], 'conrey_index': 7, 'cusp_dim': 372, 'dim': 84, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1305703613066, 'hecke_orbit_dims': [4, 4, 8, 8, 12, 16, 16, 16], 'label': '650.2.t', 'level': 650, '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, 5, 13], 'level_radical': 130, 'mf_dim': 468, 'mf_new_dim': 84, 'num_forms': 8, 'prim_orbit_index': 20, 'relative_dim': 21, 'sturm_bound': 210, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [84, 0, 0, 42, 0, 0, 0, 0, 48, 0, -24, 0, 10, 0, 0, -42, 4, 4, 8, 0, 8, 0, 0, 0, 0, 0, 24, 0, 0, 0, -32, 0, 12, 22, 0, 48, 20, 0, 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-64, -216, 384, 0, 96, 60, -8, 144, 0, 322, -80, 0, 0, 0, 150, 240, -24, 0, 0, 40, 48, -128, 256, 0, 144, -170, -196, -216, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41557735
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 643, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008504958354058, 'source_is_minimal': True, 'source_label': '650.2.t.c.643.1', 'source_level': 650, 'target_conrey_index': 643, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008504958354058, 'target_is_minimal': True, 'target_label': '650.2.t.c.643.1', 'target_level': 650, 'twist_class_label': '650.2.t.c.557.1', 'twist_class_level': 650, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41557736
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 643, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008504958354058, 'source_is_minimal': True, 'source_label': '650.2.t.c.643.1', 'source_level': 650, 'target_conrey_index': 357, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512310744154762, 'target_is_minimal': True, 'target_label': '650.2.w.d.357.2', 'target_level': 650, 'twist_class_label': '650.2.t.c.557.1', 'twist_class_level': 650, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41557737
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 643, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008504958354058, 'source_is_minimal': True, 'source_label': '650.2.t.c.643.1', 'source_level': 650, 'target_conrey_index': 357, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008711116784266, 'target_is_minimal': True, 'target_label': '650.2.w.c.357.1', 'target_level': 650, 'twist_class_label': '650.2.t.c.557.1', 'twist_class_level': 650, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41557738
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 643, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008504958354058, 'source_is_minimal': True, 'source_label': '650.2.t.c.643.1', 'source_level': 650, 'target_conrey_index': 643, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512104585724554, 'target_is_minimal': True, 'target_label': '650.2.t.d.643.2', 'target_level': 650, 'twist_class_label': '650.2.t.c.557.1', 'twist_class_level': 650, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 41557739
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 643, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008504958354058, 'source_is_minimal': True, 'source_label': '650.2.t.c.643.1', 'source_level': 650, 'target_conrey_index': 193, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512310744154762, 'target_is_minimal': True, 'target_label': '650.2.w.d.193.2', 'target_level': 650, 'twist_class_label': '650.2.t.c.557.1', 'twist_class_level': 650, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 41557740
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 643, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008504958354058, 'source_is_minimal': True, 'source_label': '650.2.t.c.643.1', 'source_level': 650, 'target_conrey_index': 193, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008711116784266, 'target_is_minimal': True, 'target_label': '650.2.w.c.193.1', 'target_level': 650, 'twist_class_label': '650.2.t.c.557.1', 'twist_class_level': 650, 'twisting_char_label': '65.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 41557741
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 643, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008504958354058, 'source_is_minimal': True, 'source_label': '650.2.t.c.643.1', 'source_level': 650, 'target_conrey_index': 557, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008504958354058, 'target_is_minimal': True, 'target_label': '650.2.t.c.557.1', 'target_level': 650, 'twist_class_label': '650.2.t.c.557.1', 'twist_class_level': 650, 'twisting_char_label': '65.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 41557742
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 643, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9008504958354058, 'source_is_minimal': True, 'source_label': '650.2.t.c.643.1', 'source_level': 650, 'target_conrey_index': 557, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512104585724554, 'target_is_minimal': True, 'target_label': '650.2.t.d.557.2', 'target_level': 650, 'twist_class_label': '650.2.t.c.557.1', 'twist_class_level': 650, 'twisting_char_label': '65.63', 'twisting_conrey_index': 63, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1166125
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 9008504958354058, 'p': 2}
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id: 1166126
{'charpoly_factorization': [[[4, 0, 24, -48, 2, 12, 12, 6, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 3}
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id: 1166127
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008504958354058, 'p': 5}
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id: 1166128
{'charpoly_factorization': [[[169, -312, 862, 528, 471, 48, 22, 0, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 7}
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id: 1166129
{'charpoly_factorization': [[[408321, 356562, 139320, 36612, 7947, 1368, 180, 18, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 11}
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id: 1166130
{'charpoly_factorization': [[[28561, 39546, 28392, 13260, 4343, 1020, 168, 18, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 13}
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id: 1166131
{'charpoly_factorization': [[[324, -648, 4536, -432, 522, 180, -36, -6, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 17}
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id: 1166132
{'charpoly_factorization': [[[20449, -26026, 18512, -8944, 2707, -524, 92, -14, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 19}
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id: 1166133
{'charpoly_factorization': [[[5184, -5184, 10368, -2592, -504, 144, 0, 0, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 23}
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id: 1166134
{'charpoly_factorization': [[[876096, -471744, 62208, 12096, -2520, -576, 216, -24, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 29}
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id: 1166135
{'charpoly_factorization': [[[45796, -14552, 2312, 736, 868, -220, 32, 8, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 31}
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id: 1166136
{'charpoly_factorization': [[[1771561, -966306, 409948, -79860, 13431, -924, 124, -6, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 37}
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id: 1166137
{'charpoly_factorization': [[[876096, -1145664, 575424, -140832, 20232, -2304, 216, -12, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 41}
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id: 1166138
{'charpoly_factorization': [[[937024, 23232, -14400, 9888, -1048, -240, 72, -12, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 43}
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id: 1166139
{'charpoly_factorization': [[[1521, -288, -126, 0, 1], 2]], 'hecke_orbit_code': 9008504958354058, 'p': 47}
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id: 1166140
{'charpoly_factorization': [[[6561, 17496, 23328, -2916, 162, 0, 72, -12, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 53}
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id: 1166141
{'charpoly_factorization': [[[219024, -404352, 283824, -101520, 25308, -4104, 396, -24, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 59}
-
id: 1166142
{'charpoly_factorization': [[[6625476, 1204632, 527904, -25272, 14634, -216, 156, -6, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 61}
-
id: 1166143
{'charpoly_factorization': [[[64, -192, -64, 768, 1224, 768, 224, 24, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 67}
-
id: 1166144
{'charpoly_factorization': [[[419904, 699840, 373248, 69984, 16200, 2592, 288, 24, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 71}
-
id: 1166145
{'charpoly_factorization': [[[58564, 0, 38720, 0, 6780, 0, 164, 0, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 73}
-
id: 1166146
{'charpoly_factorization': [[[5560164, 0, 784944, 0, 24732, 0, 276, 0, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 79}
-
id: 1166147
{'charpoly_factorization': [[[-162, 864, 288, 30, 1], 2]], 'hecke_orbit_code': 9008504958354058, 'p': 83}
-
id: 1166148
{'charpoly_factorization': [[[178929, 350244, 248022, 75384, 11619, 1584, 234, 12, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 89}
-
id: 1166149
{'charpoly_factorization': [[[1503076, 647328, 24272, -29568, -918, 1680, 356, 30, 1], 1]], 'hecke_orbit_code': 9008504958354058, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 3, 'label': '650.2.t.c', 'level': 650, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31886713
{'hecke_orbit_code': 9008504958354058, 'n': 1, 'trace_an': 8}
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id: 31886714
{'hecke_orbit_code': 9008504958354058, 'n': 2, 'trace_an': 0}
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id: 31886715
{'hecke_orbit_code': 9008504958354058, 'n': 3, 'trace_an': -6}
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id: 31886716
{'hecke_orbit_code': 9008504958354058, 'n': 4, 'trace_an': 4}
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id: 31886717
{'hecke_orbit_code': 9008504958354058, 'n': 5, 'trace_an': 0}
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id: 31886718
{'hecke_orbit_code': 9008504958354058, 'n': 6, 'trace_an': 6}
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