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mf_newforms • Show schema
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{'Nk2': 9450, 'analytic_conductor': 28.610427757831175, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': -1, 'char_values': [1050, 6, [701, 127, 451], [6, 6, 1]], 'cm_discs': [], 'conrey_index': 451, 'dim': 8, 'field_disc': 3317760000, 'field_disc_factorization': [[2, 16], [3, 4], [5, 4]], 'field_poly': [81, 0, -36, 0, 7, 0, -4, 0, 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': [[11, [22505536, -9715712, 5617504, 576448, 93448, 2896, 316, 4, 1]], [17, [15808576, 24428544, 15366112, 4300800, 658056, 58800, 3052, 84, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504630469854234, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 4, -1, 6, 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': '1050.3.p.b', 'level': 1050, '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, 7], 'level_radical': 210, 'minimal_twist': '210.3.o.a', 'nf_label': '8.0.3317760000.3', 'prim_orbit_index': 4, 'qexp_display': 'q+(-\\beta _{2}-\\beta _{4})q^{2}+(-1-\\beta _{3})q^{3}+(-2+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.3.p', 'trace_display': [0, -12, 0, 0], 'trace_hash': 1298481547969425836, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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-306, 0, -596, -684, 390, 153, 195], [-1031, 329, -415, 0, 0, -316, 329, 316], [591, 0, 1058, 591, 529, 0, -456, -185], [87, -267, -1, -174, -2, -552, 267, -552], [-688, 64, 0, 688, -1128, 256, -32, 128], [-246, 0, 264, -246, 132, 0, 278, -550], [0, -109, 219, -1839, 219, -74, 218, -148], [359, -405, -609, -718, -1218, -44, 405, -44], [1406, -235, -352, 0, 0, -207, -235, 207], [460, 0, 44, 460, 22, 0, 42, -40], [46, 116, -531, -23, 531, -411, 0, 0], [-193, -5, -27, 386, -54, -430, 5, -430], [1550, 685, 301, -775, -301, -236, 0, 0], [-482, 321, 329, 964, 658, -386, -321, -386], [-740, -294, -394, 370, 394, 48, 0, 0], [0, 8, 362, 666, 362, 218, -16, 436], [-1300, 20, 0, 1300, 748, -280, -10, -140]], 'char_orbit_index': 16, 'field_poly': [81, 0, -36, 0, 7, 0, -4, 0, 1], 'hecke_orbit_code': 4504630469854234, 'hecke_ring_character_values': [[701, [1, 0, 0, 0, 0, 0, 0, 0]], [127, [1, 0, 0, 0, 0, 0, 0, 0]], [451, [0, 0, 0, 1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 63, 189, 63, 189, 21, 63, 189], 'hecke_ring_inverse_denominators': [1, 2, 1, 2, 1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 0], [2, 0, 0, -2, 0, 0, 1, 0], [0, 0, 7, 0, 0, 1, 0, 1], [0, 4, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, -19, 0, 0, -5], [22, 7, 0, 0, 0, 0, -7, 0], [0, 0, -13, 0, -13, 29, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [-36, 0, 7, 0, 14, 0, 1, 0], [0, 81, 0, 35, 0, 7, 0, -4], [144, 0, -28, 0, 7, 0, -4, 0], [0, 180, 0, -35, 0, -7, 0, -5], [0, 13, 0, 0, 0, 0, 0, 1], [162, 0, 7, 0, 14, 0, -8, 0], [0, -684, 0, 133, 0, -49, 0, 19]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1050.3.p.b', 'level': 1050, 'maxp': 1999, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 9450, 'analytic_conductor': 28.610427757831175, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': -1, 'char_values': [1050, 6, [701, 127, 451], [6, 6, 1]], 'conrey_index': 451, 'cusp_dim': 912, 'dim': 100, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 17], 'hecke_orbit_code': 1030842483738, 'hecke_orbit_dims': [4, 8, 8, 8, 12, 12, 16, 16, 16], 'label': '1050.3.p', 'level': 1050, '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, 7], 'level_radical': 210, 'mf_dim': 1008, 'mf_new_dim': 100, 'num_forms': 9, 'prim_orbit_index': 4, 'relative_dim': 50, 'sturm_bound': 720, 'trace_bound': 14, 'trace_display': [0, 6, 0, 6], 'traces': [100, 0, 6, -100, 0, 0, 6, 0, 150, 0, 12, -12, 0, -8, 0, -200, -48, 0, 114, 0, -12, 96, -24, 0, 0, -96, 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1376, -5728, 0, -1302, -760, -1152, 0, 0, 480, 376, 3624, -1788, 0, 0, -288, 6804, 336, 0, 656, -4872, 0, -5264, 0, 1788, 3312, 1920, -684, 0, 1688, -5892, -280, 3408, 0, -3258, 0, -684, 6192, 0, 576, 3928, 5136, 0, 0, -9360, 0, 6834, 96, 0, 0, 1768, -96, -4032, 0, 822, 1728, 0, 1536, 0, 488, 1044, 1088, 4764, 0, 70, 4640, -1392, -588, 0, -2880, 0, -848, -2700, 0, -8424, -144, -5430, 0, 0, -832, -252, -1008, 4462, 0, 0, 632, -6904, -1200, 0, 1584, 972, 0, -144, 0, -2206, -720, -2736, -1296, 0, 72, -6568, 1192, -1296, 0, -10200, 0, -5156, 2992, 0, 1416, -736, -96, 0, 0, -1128, -36, -4236, -264, 0, 0, -2646, 1936, 9764, 0, 5048, -5616, 0, 1312, 0, -240, -3168, -1264, -6264, 0, 756, -576, -1680, 4080, 0, 552, 0, 3936, 3296, 0, -504, -728, 8340, 0, 0, 1840, 2124, -1440, -3420, 0, 0, 3536, 5424, -4448, 0, 0, 7578, 0, 1338, 0, 2564, 2736, -3772, 1488, 0, 3352, 12984, 144, -8070, 0, 2202, 0, -808, 3024, 0, 5208, -450, -912, 0, 0, 1276, 752, 3096, -656, 0, 0, -3342, 1472, 5718, 0, 4088, 1368, 0, -384, 0, 1296, -648, 1872, -2448, 0, 1224, -4560, 692, 0, 0, -1584, 0, 652, -12920, 0, -7614, 448, -2304, 0, 0, 2184, 1300, 7248, -3936, 0, 0, -432, -484, -496, 0, -5000, -10596, 0, 14170, 0, 108, 816, 852, -3024, 0, -64, -10992, -120, -6624, 0, -21216, 0, -2256, 2592, 0, -1584, 1882, 4440, 0, 0, 4320, 552, 7296, 2016, 0, 0, 5188, 144, -590, 0, 1830, 864, 0, -2376, 0, -4776, 1638, 320, 21804, 0, -10504, 3440, -1764, -504, 0, 576, 0, -8304, 2892, 0, 15912, -192, 7032, 0, 0, -1504, -4220, -1668, 2306, 0, 0, -1760, -3456, -312, 0, 2008, 6768, 0, -12256, 0, 420, -6192, -1224, -2904, 0, -4968, 1236, -192, 3816, 0, 7320, 0, 1234, -624, 0, 2352, -1980, -4896, 0, 0, -3108, 1344, -1248, -192, 0, 0, 12, -4296, -4856, 0, -5566, -288, 0, -8152, 0, -168, -1338, -5272, 234, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 631920
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1050.3.p.b', 'source_level': 1050, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.3.o.a', 'target_level': 210, 'twist_class_label': '210.3.o.a', 'twist_class_level': 210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 631921
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1050.3.p.b', 'source_level': 1050, 'target_char_orbit': 15, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.3.o.a', 'target_level': 210, 'twist_class_label': '210.3.o.a', 'twist_class_level': 210, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 631922
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1050.3.p.b', 'source_level': 1050, 'target_char_orbit': 22, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '630.3.v.b', 'target_level': 630, 'twist_class_label': '210.3.o.a', 'twist_class_level': 210, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 631923
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1050.3.p.b', 'source_level': 1050, 'target_char_orbit': 22, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '630.3.v.b', 'target_level': 630, 'twist_class_label': '210.3.o.a', 'twist_class_level': 210, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 3}
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id: 631924
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 16, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1050.3.p.b', 'source_level': 1050, 'target_char_orbit': 16, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1050.3.p.b', 'target_level': 1050, 'twist_class_label': '210.3.o.a', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 631925
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1050.3.p.b', 'source_level': 1050, 'target_char_orbit': 16, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1050.3.p.b', 'target_level': 1050, 'twist_class_label': '210.3.o.a', 'twist_class_level': 210, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 631926
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1050.3.p.b', 'source_level': 1050, 'target_char_orbit': 17, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1050.3.q.c', 'target_level': 1050, 'twist_class_label': '210.3.o.a', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 631927
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1050.3.p.b', 'source_level': 1050, 'target_char_orbit': 17, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1050.3.q.c', 'target_level': 1050, 'twist_class_label': '210.3.o.a', 'twist_class_level': 210, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 631928
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1050.3.p.b', 'source_level': 1050, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1470.3.f.a', 'target_level': 1470, 'twist_class_label': '210.3.o.a', 'twist_class_level': 210, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 631929
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 16, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1050.3.p.b', 'source_level': 1050, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1470.3.f.a', 'target_level': 1470, 'twist_class_label': '210.3.o.a', 'twist_class_level': 210, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1634150
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 2]], 'hecke_orbit_code': 4504630469854234, 'p': 2}
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id: 1634151
{'charpoly_factorization': [[[3, 3, 1], 4]], 'hecke_orbit_code': 4504630469854234, 'p': 3}
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id: 1634152
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4504630469854234, 'p': 5}
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id: 1634153
{'charpoly_factorization': [[[5764801, 0, -187278, 0, 5243, 0, -78, 0, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 7}
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id: 1634154
{'charpoly_factorization': [[[22505536, -9715712, 5617504, 576448, 93448, 2896, 316, 4, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 11}
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id: 1634155
{'charpoly_factorization': [[[33189121, 0, 2396652, 0, 56678, 0, 492, 0, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 13}
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id: 1634156
{'charpoly_factorization': [[[15808576, 24428544, 15366112, 4300800, 658056, 58800, 3052, 84, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 17}
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id: 1634157
{'charpoly_factorization': [[[3571138081, -723561972, 463098, 9807480, 279971, -87480, 4698, -108, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 19}
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id: 1634158
{'charpoly_factorization': [[[1032256, 1560576, 1891936, 730944, 231048, -2448, 604, 12, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 23}
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id: 1634159
{'charpoly_factorization': [[[20104, 7872, -460, -36, 1], 2]], 'hecke_orbit_code': 4504630469854234, 'p': 29}
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id: 1634160
{'charpoly_factorization': [[[56085121, 103977276, 76432266, 22575384, 3247283, 214632, 7434, 132, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 31}
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id: 1634161
{'charpoly_factorization': [[[686911681, -473020032, 256800634, -42434112, 5158083, -216384, 6586, -96, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 37}
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id: 1634162
{'charpoly_factorization': [[[6360766467136, 0, 21661234752, 0, 21449888, 0, 7992, 0, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 41}
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id: 1634163
{'charpoly_factorization': [[[-877199, 129944, -2314, -56, 1], 2]], 'hecke_orbit_code': 4504630469854234, 'p': 43}
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id: 1634164
{'charpoly_factorization': [[[17622397993216, -45538862592, -22830954624, 59099904, 25569584, 130752, -5256, -24, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 47}
-
id: 1634165
{'charpoly_factorization': [[[1469648896, -3425091584, 7727799296, -590790656, 41268928, -391168, 7664, 32, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 53}
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id: 1634166
{'charpoly_factorization': [[[19263180552256, -2847011029248, 158253288928, -2659555200, -7342584, 541200, 1708, -132, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 59}
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id: 1634167
{'charpoly_factorization': [[[981652934656, 227515711488, 11061556224, -1510060032, 34904768, 631296, -3504, -96, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 61}
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id: 1634168
{'charpoly_factorization': [[[848699720001, 97836643800, 10388513466, 323688960, 12755907, -328320, 13434, -120, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 67}
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id: 1634169
{'charpoly_factorization': [[[-2872184, -278336, -6988, -4, 1], 2]], 'hecke_orbit_code': 4504630469854234, 'p': 71}
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id: 1634170
{'charpoly_factorization': [[[52818460352161, 7580953107672, 449019135866, 12390084336, 140009619, -285072, -11686, 24, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 73}
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id: 1634171
{'charpoly_factorization': [[[11859027266503921, 1749791718948, 2439817185346, 2253624528, 393143259, 236688, 22546, -12, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 79}
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id: 1634172
{'charpoly_factorization': [[[8967746052897856, 0, 5541444773952, 0, 905020064, 0, 52728, 0, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 83}
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id: 1634173
{'charpoly_factorization': [[[91315148362816, 9140634983424, 67279672416, -23794988544, 785244488, -12238992, 105564, -492, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 89}
-
id: 1634174
{'charpoly_factorization': [[[3470767019462656, 0, 2182950729728, 0, 469171584, 0, 39392, 0, 1], 1]], 'hecke_orbit_code': 4504630469854234, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 16, 'hecke_orbit': 2, 'label': '1050.3.p.b', 'level': 1050, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 24379945
{'hecke_orbit_code': 4504630469854234, 'n': 1, 'trace_an': 8}
-
id: 24379946
{'hecke_orbit_code': 4504630469854234, 'n': 2, 'trace_an': 0}
-
id: 24379947
{'hecke_orbit_code': 4504630469854234, 'n': 3, 'trace_an': -12}
-
id: 24379948
{'hecke_orbit_code': 4504630469854234, 'n': 4, 'trace_an': -8}
-
id: 24379949
{'hecke_orbit_code': 4504630469854234, 'n': 5, 'trace_an': 0}
-
id: 24379950
{'hecke_orbit_code': 4504630469854234, 'n': 6, 'trace_an': 0}
-
id: 24379951
{'hecke_orbit_code': 4504630469854234, 'n': 7, 'trace_an': 0}
-
id: 24379952
{'hecke_orbit_code': 4504630469854234, 'n': 8, 'trace_an': 0}
-
id: 24379953
{'hecke_orbit_code': 4504630469854234, 'n': 9, 'trace_an': 12}
-
id: 24379954
{'hecke_orbit_code': 4504630469854234, 'n': 10, 'trace_an': 0}
-
id: 24379955
{'hecke_orbit_code': 4504630469854234, 'n': 11, 'trace_an': -4}
-
id: 24379956
{'hecke_orbit_code': 4504630469854234, 'n': 12, 'trace_an': 24}
-
id: 24379957
{'hecke_orbit_code': 4504630469854234, 'n': 13, 'trace_an': 0}
-
id: 24379958
{'hecke_orbit_code': 4504630469854234, 'n': 14, 'trace_an': -40}
-
id: 24379959
{'hecke_orbit_code': 4504630469854234, 'n': 15, 'trace_an': 0}
-
id: 24379960
{'hecke_orbit_code': 4504630469854234, 'n': 16, 'trace_an': -16}
-
id: 24379961
{'hecke_orbit_code': 4504630469854234, 'n': 17, 'trace_an': -84}
-
id: 24379962
{'hecke_orbit_code': 4504630469854234, 'n': 18, 'trace_an': 0}
-
id: 24379963
{'hecke_orbit_code': 4504630469854234, 'n': 19, 'trace_an': 108}
-
id: 24379964
{'hecke_orbit_code': 4504630469854234, 'n': 20, 'trace_an': 0}
-
id: 24379965
{'hecke_orbit_code': 4504630469854234, 'n': 21, 'trace_an': 0}
-
id: 24379966
{'hecke_orbit_code': 4504630469854234, 'n': 22, 'trace_an': 48}
-
id: 24379967
{'hecke_orbit_code': 4504630469854234, 'n': 23, 'trace_an': -12}
-
id: 24379968
{'hecke_orbit_code': 4504630469854234, 'n': 24, 'trace_an': 0}
-
id: 24379969
{'hecke_orbit_code': 4504630469854234, 'n': 25, 'trace_an': 0}
-
id: 24379970
{'hecke_orbit_code': 4504630469854234, 'n': 26, 'trace_an': -96}
-
id: 24379971
{'hecke_orbit_code': 4504630469854234, 'n': 27, 'trace_an': 0}
-
id: 24379972
{'hecke_orbit_code': 4504630469854234, 'n': 28, 'trace_an': 0}
-
id: 24379973
{'hecke_orbit_code': 4504630469854234, 'n': 29, 'trace_an': 72}
-
id: 24379974
{'hecke_orbit_code': 4504630469854234, 'n': 30, 'trace_an': 0}
-
id: 24379975
{'hecke_orbit_code': 4504630469854234, 'n': 31, 'trace_an': -132}
-
id: 24379976
{'hecke_orbit_code': 4504630469854234, 'n': 32, 'trace_an': 0}
-
id: 24379977
{'hecke_orbit_code': 4504630469854234, 'n': 33, 'trace_an': 12}
-
id: 24379978
{'hecke_orbit_code': 4504630469854234, 'n': 34, 'trace_an': 0}
-
id: 24379979
{'hecke_orbit_code': 4504630469854234, 'n': 35, 'trace_an': 0}
-
id: 24379980
{'hecke_orbit_code': 4504630469854234, 'n': 36, 'trace_an': -48}
-
id: 24379981
{'hecke_orbit_code': 4504630469854234, 'n': 37, 'trace_an': 96}
-
id: 24379982
{'hecke_orbit_code': 4504630469854234, 'n': 38, 'trace_an': 168}
-
id: 24379983
{'hecke_orbit_code': 4504630469854234, 'n': 39, 'trace_an': 24}
-
id: 24379984
{'hecke_orbit_code': 4504630469854234, 'n': 40, 'trace_an': 0}
-
id: 24379985
{'hecke_orbit_code': 4504630469854234, 'n': 41, 'trace_an': 0}
-
id: 24379986
{'hecke_orbit_code': 4504630469854234, 'n': 42, 'trace_an': 72}
-
id: 24379987
{'hecke_orbit_code': 4504630469854234, 'n': 43, 'trace_an': 112}
-
id: 24379988
{'hecke_orbit_code': 4504630469854234, 'n': 44, 'trace_an': -8}
-
id: 24379989
{'hecke_orbit_code': 4504630469854234, 'n': 45, 'trace_an': 0}
-
id: 24379990
{'hecke_orbit_code': 4504630469854234, 'n': 46, 'trace_an': 8}
-
id: 24379991
{'hecke_orbit_code': 4504630469854234, 'n': 47, 'trace_an': 24}
-
id: 24379992
{'hecke_orbit_code': 4504630469854234, 'n': 48, 'trace_an': 0}
-
id: 24379993
{'hecke_orbit_code': 4504630469854234, 'n': 49, 'trace_an': 156}
-
id: 24379994
{'hecke_orbit_code': 4504630469854234, 'n': 50, 'trace_an': 0}
-
id: 24379995
{'hecke_orbit_code': 4504630469854234, 'n': 51, 'trace_an': 84}
-
id: 24379996
{'hecke_orbit_code': 4504630469854234, 'n': 52, 'trace_an': -48}
-
id: 24379997
{'hecke_orbit_code': 4504630469854234, 'n': 53, 'trace_an': -32}
-
id: 24379998
{'hecke_orbit_code': 4504630469854234, 'n': 54, 'trace_an': 0}
-
id: 24379999
{'hecke_orbit_code': 4504630469854234, 'n': 55, 'trace_an': 0}
-
id: 24380000
{'hecke_orbit_code': 4504630469854234, 'n': 56, 'trace_an': 16}
-
id: 24380001
{'hecke_orbit_code': 4504630469854234, 'n': 57, 'trace_an': -216}
-
id: 24380002
{'hecke_orbit_code': 4504630469854234, 'n': 58, 'trace_an': -104}
-
id: 24380003
{'hecke_orbit_code': 4504630469854234, 'n': 59, 'trace_an': 132}
-
id: 24380004
{'hecke_orbit_code': 4504630469854234, 'n': 60, 'trace_an': 0}
-
id: 24380005
{'hecke_orbit_code': 4504630469854234, 'n': 61, 'trace_an': 96}
-
id: 24380006
{'hecke_orbit_code': 4504630469854234, 'n': 62, 'trace_an': 0}
-
id: 24380007
{'hecke_orbit_code': 4504630469854234, 'n': 63, 'trace_an': 0}
-
id: 24380008
{'hecke_orbit_code': 4504630469854234, 'n': 64, 'trace_an': 64}
-
id: 24380009
{'hecke_orbit_code': 4504630469854234, 'n': 65, 'trace_an': 0}
-
id: 24380010
{'hecke_orbit_code': 4504630469854234, 'n': 66, 'trace_an': -72}
-
id: 24380011
{'hecke_orbit_code': 4504630469854234, 'n': 67, 'trace_an': 120}
-
id: 24380012
{'hecke_orbit_code': 4504630469854234, 'n': 68, 'trace_an': 168}
-
id: 24380013
{'hecke_orbit_code': 4504630469854234, 'n': 69, 'trace_an': 0}
-
id: 24380014
{'hecke_orbit_code': 4504630469854234, 'n': 70, 'trace_an': 0}
-
id: 24380015
{'hecke_orbit_code': 4504630469854234, 'n': 71, 'trace_an': 8}
-
id: 24380016
{'hecke_orbit_code': 4504630469854234, 'n': 72, 'trace_an': 0}
-
id: 24380017
{'hecke_orbit_code': 4504630469854234, 'n': 73, 'trace_an': -24}
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