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mf_newforms • Show schema
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{'Nk2': 6750, 'analytic_conductor': 20.436019827022267, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': -1, 'char_values': [750, 4, [251, 127], [4, 3]], 'cm_discs': [], 'conrey_index': 193, 'dim': 16, 'field_disc': 6879707136000000000000, 'field_disc_factorization': [[2, 32], [3, 8], [5, 12]], 'field_poly': [1, 0, 0, 0, 36, 0, 0, 0, 86, 0, 0, 0, 21, 0, 0, 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': [[7, [4201113856, -20902900736, 52001835008, -38282568704, 15553492608, -3773979136, 679459840, -139623040, 40067696, -9126400, 1377920, -133024, 12808, -1936, 288, -24, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943275086574, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 100000000, 'hecke_ring_index_factorization': [[2, 8], [5, 8]], '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '750.3.f.b', 'level': 750, '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], 'level_radical': 30, 'minimal_twist': '750.3.f.b', 'nf_label': '16.0.6879707136000000000000.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1-\\beta _{1})q^{2}-\\beta _{2}q^{3}+2\\beta _{1}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '2.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '750.3.f', 'trace_display': [-16, 0, 0, 24], 'trace_hash': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1], [2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 3, 1, -1, 1, 0, -1, 0, 0, -1, 1, 0, 0, 0, 1, 0], [0, -3, 1, -1, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, -1, 3], [-3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 2, -1, 0, 0, 1, -2, 0, 2, -1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 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0, -22, -13, 0, -64, -13, -22, -128, -19, -259, 26, 128, -118], [-8, 103, 121, 103, 66, -20, -17, 121, 0, 0, 0, -20, 76, 87, -59, 103], [-168, -165, -12, 0, -56, -12, 0, 80, -12, -56, -73, -40, -88, 24, 73, 3], [58, -58, -74, -156, 44, 6, 59, 0, 44, -44, 6, 0, 0, 0, 6, 0], [336, -153, -178, -153, 14, -20, -19, -178, 0, 0, 0, -20, -6, 48, 25, -153], [126, 86, -116, 0, 8, -116, 0, 178, -116, 8, 14, -80, -44, 232, -14, -40]], 'char_orbit_index': 6, 'field_poly': [1, 0, 0, 0, 36, 0, 0, 0, 86, 0, 0, 0, 21, 0, 0, 0, 1], 'hecke_orbit_code': 4503943275086574, 'hecke_ring_character_values': [[251, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [127, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671], 'hecke_ring_inverse_denominators': [1, 10, 10, 10, 10, 1, 10, 10, 10, 10, 1, 10, 10, 10, 10, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 1, 0, 0, 2, 0, 1, 0, -1, 0, 0, 0, -1, 0], [0, -18, 0, 0, 0, -1, 0, -1, -1, 2, -1, 0, -1, 1, 0, 0], [-2, -1, 3, 0, 0, 3, 0, 9, 3, 0, -3, 3, 2, -6, 3, 1], [-55, 0, -3, 0, 7, 1, 0, -3, 0, 0, 0, 1, -5, 4, 5, 0], [-1, 1, 3, 1, 0, 0, -3, 0, -1, 0, 1, 0, 0, 0, 1, 0], [0, 194, 6, 0, 0, 21, 0, 9, 15, -24, 23, -6, 23, -15, 0, 0], [43, -8, -36, 0, 0, -36, 0, -173, -36, 0, 35, -36, -43, 72, -35, -51], [722, 0, 29, 0, -86, -28, 0, 29, 0, 0, 0, -28, 99, -57, -99, 0], [177, -177, -585, -226, 0, 0, 433, 0, 135, 0, -128, 0, 0, 0, -128, 0], [0, -276, -12, 0, 0, -34, 0, -10, -22, 32, -41, 12, -41, 22, 0, 0], [-715, 232, 518, 0, 0, 518, 0, 2929, 518, 0, -483, 518, 715, -1036, 483, 947], [-10709, 0, -363, 0, 1221, 495, 0, -363, 0, 0, 0, 495, -1663, 858, 1663, 0], [-2861, 2861, 9753, 3863, 0, 0, -6579, 0, -2014, 0, 1859, 0, 0, 0, 1859, 0], [0, 41905, 2003, 0, 0, 5370, 0, 1364, 3367, -4731, 6670, -2003, 6670, -3367, 0, 0], [1139, -415, -789, 0, 0, -789, 0, -4695, -789, 0, 724, -789, -1139, 1578, -724, -1554]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -4115, 0, 0, 0, -7895, 0, 0, 0, -1897, 0, 0, 0, -90, 0], [0, -2905, 0, 0, 0, -3704, 0, 0, 0, -775, 0, 0, 0, -35, 0, 0], [1210, 7248, 6846, 0, 4191, 12961, 19106, 0, 1122, 3174, 4761, 0, 55, 152, 228, 0], [5091, 2060, 0, -11098, 4967, 11211, 0, -37337, 738, 2864, 0, -9367, 29, 138, 0, -449], [-3712, 4965, -19734, 0, -22139, 14915, -69608, 0, -5536, 3639, -17457, 0, -263, 173, -836, 0], [1749, 4881, 9577, 0, 8382, 21547, 30317, 0, 2244, 5573, 7625, 0, 110, 269, 366, 0], [0, 0, 0, 17310, 0, 0, 0, 38600, 0, 0, 0, 9330, 0, 0, 0, 443], [0, -16110, 0, 0, 0, -63463, 0, 0, 0, -15870, 0, 0, 0, -760, 0, 0], [0, -2060, -30547, -11098, 0, -11211, -65989, -37337, 0, -2864, -15796, -9367, 0, -138, -748, -449], [1749, 0, 16423, -26982, 8382, 0, 49423, -82569, 2244, 0, 12386, -20631, 110, 0, 594, -988], [-3712, 0, 19734, -28408, -22139, 0, 69608, -75937, -5536, 0, 17457, -18697, -263, 0, 836, -892], [-1749, 0, 9577, 26982, -8382, 0, 30317, 82569, -2244, 0, 7625, 20631, -110, 0, 366, 988], [-3712, -7025, 0, 39506, -22139, -26126, 0, 113274, -5536, -6503, 0, 28064, -263, -311, 0, 1341], [2959, 0, 9577, 26982, 12573, 0, 30317, 82569, 3366, 0, 7625, 20631, 165, 0, 366, 988], [1210, 0, -2731, -42676, 4191, 0, -11211, -100497, 1122, 0, -2864, -24543, 55, 0, -138, -1169]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '750.3.f.b', 'level': 750, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 6750, 'analytic_conductor': 20.436019827022267, 'char_conductor': 5, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': -1, 'char_values': [750, 4, [251, 127], [4, 3]], 'conrey_index': 193, 'cusp_dim': 560, 'dim': 64, 'eis_dim': 80, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 343647716078, 'hecke_orbit_dims': [16, 16, 16, 16], 'label': '750.3.f', 'level': 750, '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], 'level_radical': 30, 'mf_dim': 640, 'mf_new_dim': 64, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 450, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, -256, 0, 0, 0, 0, -192, 0, 0, 0, 0, 64, 0, 0, 0, 0, 480, 0, 0, 0, 0, 384, 0, 0, 0, 0, -128, 0, 0, 0, 0, -32, 0, 0, 0, 0, 48, 0, 0, 0, 0, 64, 0, 0, 0, 0, -896, 0, 0, 0, 0, -96, 0, 0, 0, 0, 64, 0, 0, 0, 0, 32, 0, 0, 0, 0, -576, 0, 0, 0, 0, 96, 0, 0, 0, 0, 1008, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, -160, 0, 0, 0, 0, 960, 0, 0, 0, 0, -32, 0, 0, 0, 0, 384, 0, 0, 0, 0, -96, 0, 0, 0, 0, 64, 0, 0, 0, 0, 64, 0, 0, 0, 0, -144, 0, 0, 0, 0, 64, 0, 0, 0, 0, -1360, 0, 0, 0, 0, -1248, 0, 0, 0, 0, -336, 0, 0, 0, 0, 64, 0, 0, 0, 0, -48, 0, 0, 0, 0, 64, 0, 0, 0, 0, 592, 0, 0, 0, 0, 288, 0, 0, 0, 0, 176, 0, 0, 0, 0, 672, 0, 0, 0, 0, 1728, 0, 0, 0, 0, -64, 0, 0, 0, 0, -1296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 528, 0, 0, 0, 0, 384, 0, 0, 0, 0, -528, 0, 0, 0, 0, -160, 0, 0, 0, 0, 688, 0, 0, 0, 0, 96, 0, 0, 0, 0, 16, 0, 0, 0, 0, 1024, 0, 0, 0, 0, 48, 0, 0, 0, 0, -2112, 0, 0, 0, 0, -3328, 0, 0, 0, 0, 288, 0, 0, 0, 0, 3520, 0, 0, 0, 0, 2496, 0, 0, 0, 0, -2160, 0, 0, 0, 0, -128, 0, 0, 0, 0, -864, 0, 0, 0, 0, -96, 0, 0, 0, 0, -5216, 0, 0, 0, 0, -544, 0, 0, 0, 0, -288, 0, 0, 0, 0, 256, 0, 0, 0, 0, -1472, 0, 0, 0, 0, 768, 0, 0, 0, 0, 5408, 0, 0, 0, 0, 32, 0, 0, 0, 0, 1872, 0, 0, 0, 0, -64, 0, 0, 0, 0, 6576, 0, 0, 0, 0, 384, 0, 0, 0, 0, 3632, 0, 0, 0, 0, -384, 0, 0, 0, 0, -1104, 0, 0, 0, 0, -448, 0, 0, 0, 0, -1056, 0, 0, 0, 0, -96, 0, 0, 0, 0, -9968, 0, 0, 0, 0, -7488, 0, 0, 0, 0, 48, 0, 0, 0, 0, -256, 0, 0, 0, 0, 944, 0, 0, 0, 0, -96, 0, 0, 0, 0, 3104, 0, 0, 0, 0, -1760, 0, 0, 0, 0, -1008, 0, 0, 0, 0, 3488, 0, 0, 0, 0, 10608, 0, 0, 0, 0, -192, 0, 0, 0, 0, -5136, 0, 0, 0, 0, -96, 0, 0, 0, 0, -480, 0, 0, 0, 0, 480, 0, 0, 0, 0, -2688, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6192, 0, 0, 0, 0, -1920, 0, 0, 0, 0, 1056, 0, 0, 0, 0, 7936, 0, 0, 0, 0, 2208, 0, 0, 0, 0, 2880, 0, 0, 0, 0, -11920, 0, 0, 0, 0, 288, 0, 0, 0, 0, 240, 0, 0, 0, 0, 64, 0, 0, 0, 0, -12736, 0, 0, 0, 0, -480, 0, 0, 0, 0, -8672, 0, 0, 0, 0, 1632, 0, 0, 0, 0, -288, 0, 0, 0, 0, -2336, 0, 0, 0, 0, 4464, 0, 0, 0, 0, -1536, 0, 0, 0, 0, 12848, 0, 0, 0, 0, 4160, 0, 0, 0, 0, -336, 0, 0, 0, 0, 288, 0, 0, 0, 0, 8720, 0, 0, 0, 0, -672, 0, 0, 0, 0, 4464, 0, 0, 0, 0, 192, 0, 0, 0, 0, -432, 0, 0, 0, 0, 704, 0, 0, 0, 0, -11872, 0, 0, 0, 0, -384, 0, 0, 0, 0, -416, 0, 0, 0, 0, -32, 0, 0, 0, 0, 288, 0, 0, 0, 0, 512, 0, 0, 0, 0, -768, 0, 0, 0, 0, 192, 0, 0, 0, 0, 10928, 0, 0, 0, 0, 1088, 0, 0, 0, 0, 672, 0, 0, 0, 0, -15744, 0, 0, 0, 0, -3568, 0, 0, 0, 0, 192, 0, 0, 0, 0, -1168, 0, 0, 0, 0, 96, 0, 0, 0, 0, 816, 0, 0, 0, 0, -32, 0, 0, 0, 0, -2304, 0, 0, 0, 0, -1152, 0, 0, 0, 0, -14064, 0, 0, 0, 0, 128, 0, 0, 0, 0, -96, 0, 0, 0, 0, -11904, 0, 0, 0, 0, 5344, 0, 0, 0, 0, -1152, 0, 0, 0, 0, 9920, 0, 0, 0, 0, 14368, 0, 0, 0, 0, -720, 0, 0, 0, 0, 512, 0, 0, 0, 0, 2608, 0, 0, 0, 0, 3264, 0, 0, 0, 0, 9488, 0, 0, 0, 0, 736, 0, 0, 0, 0, 96, 0, 0, 0, 0, 13344, 0, 0, 0, 0, -2304, 0, 0, 0, 0, -192, 0, 0, 0, 0, 16800, 0, 0, 0, 0, -9760, 0, 0, 0, 0, -960, 0, 0, 0, 0, -1760, 0, 0, 0, 0, 96, 0, 0, 0, 0, 576, 0, 0, 0, 0, -11696, 0, 0, 0, 0, 960, 0, 0, 0, 0, 5760, 0, 0, 0, 0, -1344, 0, 0, 0, 0, -832, 0, 0, 0, 0, -3648, 0, 0, 0, 0, -18224, 0, 0, 0, 0, 704, 0, 0, 0, 0, 144, 0, 0, 0, 0, -256, 0, 0, 0, 0, -17408, 0, 0, 0, 0, -7872, 0, 0, 0, 0, -10672, 0, 0, 0, 0, -2400, 0, 0, 0, 0, -1824, 0, 0, 0, 0, 12416, 0, 0, 0, 0, 2368, 0, 0, 0, 0, 384, 0, 0, 0, 0, -2960, 0, 0, 0, 0, 4256, 0, 0, 0, 0, 9552, 0, 0, 0, 0, 768, 0, 0, 0, 0, -1888, 0, 0, 0, 0, 1824, 0, 0, 0, 0, 1232, 0, 0, 0, 0, 3584, 0, 0, 0, 0, 2640, 0, 0, 0, 0, -768, 0, 0, 0, 0, 10912, 0, 0, 0, 0, 672, 0, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 481924
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '750.3.f.b', 'source_level': 750, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '750.3.f.b', 'target_level': 750, 'twist_class_label': '750.3.f.b', 'twist_class_level': 750, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 481925
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '750.3.f.b', 'source_level': 750, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '750.3.f.b', 'target_level': 750, 'twist_class_label': '750.3.f.b', 'twist_class_level': 750, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 481926
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '750.3.f.b', 'source_level': 750, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '750.3.f.c', 'target_level': 750, 'twist_class_label': '750.3.f.b', 'twist_class_level': 750, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 481927
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 16, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '750.3.f.b', 'source_level': 750, 'target_char_orbit': 6, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '750.3.f.c', 'target_level': 750, 'twist_class_label': '750.3.f.b', 'twist_class_level': 750, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1283300
{'charpoly_factorization': [[[2, 2, 1], 8]], 'hecke_orbit_code': 4503943275086574, 'p': 2}
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id: 1283301
{'charpoly_factorization': [[[9, 0, 0, 0, 1], 4]], 'hecke_orbit_code': 4503943275086574, 'p': 3}
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id: 1283302
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4503943275086574, 'p': 5}
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id: 1283303
{'charpoly_factorization': [[[4201113856, -20902900736, 52001835008, -38282568704, 15553492608, -3773979136, 679459840, -139623040, 40067696, -9126400, 1377920, -133024, 12808, -1936, 288, -24, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 7}
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id: 1283304
{'charpoly_factorization': [[[132400, -464800, -448560, 322640, 40176, -4312, -436, 12, 1], 2]], 'hecke_orbit_code': 4503943275086574, 'p': 11}
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id: 1283305
{'charpoly_factorization': [[[159765150750976, 14980112693248, 702292631552, 2019609361408, 1968784867968, 374746842368, 39248220160, 5519091200, 3308295536, 686427200, 75436160, 2965568, 114568, 11408, 1152, 48, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 13}
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id: 1283306
{'charpoly_factorization': [[[111253653909432241, 144911081466749824, 94375424060039168, 33328002946840496, 6675940877496398, 513119396760944, -2787992880000, -3065210772000, 492827905651, -10912441200, 78230400, 4877216, 1167038, -17296, 128, 16, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 17}
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id: 1283307
{'charpoly_factorization': [[[1359173845650625, 0, 599535208544500, 0, 86251063543650, 0, 4459372727080, 0, 69470037531, 0, 466361176, 0, 1473986, 0, 2076, 0, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 19}
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id: 1283308
{'charpoly_factorization': [[[35179422586594140625, -5999718154082500000, 511614678152000000, 346445937088375000, 148282779246553750, -2133628218125000, -86700819359200, -39352528580960, 6861295380251, -420782489048, 14586265952, -294897760, 5220486, -155880, 5408, -104, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 23}
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id: 1283309
{'charpoly_factorization': [[[2607656734500576160000, 0, 85921433068933312000, 0, 887447416861014400, 0, 4440796541060480, 0, 12271496376816, 0, 19241957536, 0, 16386136, 0, 6656, 0, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 29}
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id: 1283310
{'charpoly_factorization': [[[101700735361, -20610984700, 1133716074, 27502000, -4503409, 106600, 1854, -100, 1], 2]], 'hecke_orbit_code': 4503943275086574, 'p': 31}
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id: 1283311
{'charpoly_factorization': [[[2098609795527151012096, 2058169159345195058176, 1009253911210218211328, -16347060130752350208, 348056688974875776, 122495823408759296, 16416934081971200, 41602788338176, 1758739411184, 347192119552, 22906524800, 254920768, 2659816, 155344, 8192, 128, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 37}
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id: 1283312
{'charpoly_factorization': [[[-9683699024, -4063951008, 1733234272, 79554480, -3997084, -213480, -52, 96, 1], 2]], 'hecke_orbit_code': 4503943275086574, 'p': 41}
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id: 1283313
{'charpoly_factorization': [[[221029221952680093604096, -72638246748823230519296, 11935785784633782837248, -549759393633794501632, 9557064412281817216, -547992816698565376, 347699994807664640, -7555613899647616, 82845662100464, -502486455232, 129386476160, -2960271008, 33876456, -10224, 3872, -88, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 43}
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id: 1283314
{'charpoly_factorization': [[[12737051613844535658150625, -1369048119033354504815000, 73576397782337000180000, -2559063879037577329000, 225234243384484722950, -20064308323347773200, 1112618813400876000, -35104612285497800, 642871656389451, -5572189867312, 66870912672, -2244963800, 51029126, -273800, 128, -16, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 47}
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id: 1283315
{'charpoly_factorization': [[[16418868895859873157661161121, -924799172727498411831411520, 26044836440990258933811200, 8934089757842222713440, 879491556636800172446, -162926479027724054240, 7784212729083558400, 41577555042626880, -16694643321629, -5864237081760, 770813017600, 8376115520, 44505086, -24480, 12800, 160, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 53}
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id: 1283316
{'charpoly_factorization': [[[5009336627017222562500000000, 0, 21654470265703865000000000, 0, 36550986816433100000000, 0, 30906838596734000000, 0, 14137723452460000, 0, 3564854812000, 0, 493420400, 0, 35080, 0, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 59}
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id: 1283317
{'charpoly_factorization': [[[-3717351077975, -651957092300, -28537538190, 432964840, 36361371, -138392, -11446, 12, 1], 2]], 'hecke_orbit_code': 4503943275086574, 'p': 61}
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id: 1283318
{'charpoly_factorization': [[[1598829409997876877459056896, -204581669807198918123478016, 13088844675792317287712768, -236373813789276081071104, -546374911085893782912, 57861630880127378944, 14542062498965048320, 60751390125466240, 62320194283376, -35636214314240, 1084656917120, -2533933664, 26609608, -1638896, 34848, -264, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 67}
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id: 1283319
{'charpoly_factorization': [[[-111221483600, -22805143200, 27292882560, -3232930640, 42687316, 1297848, -16436, -88, 1], 2]], 'hecke_orbit_code': 4503943275086574, 'p': 71}
-
id: 1283320
{'charpoly_factorization': [[[313061292047495017728256, 3534098747109202697735168, 19947937147758243115108352, -541597986034060756396032, 7340898932911288402688, -62022966473136626432, 29398167210316456960, -850000094759247360, 12349153579465696, -37498334761920, 405935132800, -13116449152, 233389808, -459792, 512, -32, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 73}
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id: 1283321
{'charpoly_factorization': [[[7901555830919881200625, 0, 3737903785087024654874500, 0, 17235883754404440443650, 0, 26269604885489447480, 0, 15519106256276091, 0, 4297193588584, 0, 595490866, 0, 39644, 0, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 79}
-
id: 1283322
{'charpoly_factorization': [[[2612679759661890743293921, 475593561399357870875768, 43286827405475085680672, 1315345140787302204728, 3611661179389480751478, 625006895017515004288, 54264961818088017760, 2631065013175135240, 79943674476894491, 1506954854865280, 18028224596000, 128020527448, 610830838, 3602968, 41472, 288, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 83}
-
id: 1283323
{'charpoly_factorization': [[[166796005826227840000000000, 0, 45306550779310617600000000, 0, 105476228261195494400000, 0, 90131618372463616000, 0, 36227567614569216, 0, 7577126808064, 0, 839924256, 0, 46384, 0, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 89}
-
id: 1283324
{'charpoly_factorization': [[[3249551068810150642733627443456, 221497778488925358731075859456, 7548929811632907179000137728, 134651088212758846258240512, 1468427138711488407257856, 14071244186446529016576, 337632392736932981760, 6084498410073221376, 62475165167481824, 252230935269312, 2075263655040, 41090756928, 490661616, 1155984, 1152, 48, 1], 1]], 'hecke_orbit_code': 4503943275086574, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '750.3.f.b', 'level': 750, 'portrait': 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', 'weight': 3}
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