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mf_newforms • Show schema
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{'Nk2': 2160, 'analytic_conductor': 7.965257850774983, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [135, 2, [56, 82], [2, 1]], 'cm_discs': [], 'conrey_index': 109, 'dim': 12, 'field_disc': 1961191579827856998400, 'field_disc_factorization': [[2, 20], [5, 2], [17, 4], [173, 4]], 'field_poly': [1600, 0, 0, 0, 1289, 0, 0, 0, 255, 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': [[2, [500, 0, 378, 0, 39, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007268041326727, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 30993639120, 'hecke_ring_index_factorization': [[2, 4], [3, 18], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 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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, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, -1, 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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, -3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 0, 0, 0, 1, 1, 0, 1, 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, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0], [0, 0, -1, 4, 0, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 1, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0], [0, 0, 3, 3, 0, 0, 0, -5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0], [0, 0, 3, 5, 0, 0, 0, -8, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -3, 0, 3, 0, -1, 0, 0, 0], [0, 0, 0, -5, 0, 0, 0, 10, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-29, -3, 0, 0, 0, -2, 3, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, -173, 0, -173, -864, 8], [0, 0, 0, 0, -544, 0, -332, 0, -377, 0, 0, 0], [0, 0, -405, -695, 0, 0, 0, -7037, 0, 58, 0, 0], [0, 0, 0, 0, 1027, 0, 104, 0, -120, 0, 0, 0], [0, 0, 94, -376, 0, 0, 0, -94, 0, -94, 520, 40], [-19663, 3393, 0, 0, 0, -798, -399, 0, 0, 0, 0, 0], [0, 0, 43, -172, 0, 0, 0, -43, 0, -43, -424, -364], [0, 0, 0, 0, -304, 0, 1346, 0, 497, 0, 0, 0], [0, 0, -100, 400, 0, 0, 0, 100, 0, 100, -695, -44], [0, 0, -1278, -448, 0, 0, 0, 1882, 0, -166, 0, 0], [0, 0, -935, 355, 0, 0, 0, -2659, 0, -258, 0, 0], [0, 0, 0, 0, 1322, 0, 728, 0, 1453, 0, 0, 0], [0, 0, -35, 140, 0, 0, 0, 35, 0, 35, -869, 320], [0, 0, -1712, -1947, 0, 0, 0, 38, 0, 47, 0, 0], [0, 0, -486, -541, 0, 0, 0, -6776, 0, 11, 0, 0], [3879, -2290, 0, 0, 0, -32, -16, 0, 0, 0, 0, 0], [0, 0, 0, 0, -539, 0, -388, 0, -687, 0, 0, 0]], 'char_orbit_index': 2, 'field_poly': [1600, 0, 0, 0, 1289, 0, 0, 0, 255, 0, 0, 0, 1], 'hecke_orbit_code': 9007268041326727, 'hecke_ring_character_values': [[56, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [82, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 967, 154720, 154720, 38680, 38680, 19340, 30944, 9670, 1934, 30944, 30944], 'hecke_ring_inverse_denominators': [1, 270, 54, 9, 18, 18, 9, 54, 6, 27, 6, 54], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -12, 33, 0, 0, 0, -33, 0, -3, -5, -5], [0, 0, 0, 0, 14, 0, 15, 0, 6, 0, 0, 0], [0, 0, -5, -5, 0, 0, 0, -19, 0, -5, 1, 2], [-1530, 210, 0, 0, 0, 34, 17, 0, 0, 0, 0, 0], [0, 0, 328, -467, 0, 0, 0, 425, 0, -5, 27, 61], [0, 0, 0, 0, -504, 0, -694, 0, -289, 0, 0, 0], [0, 0, 7806, 9111, 0, 0, 0, 27843, 0, 7545, -1261, -2881], [124894, -17692, 0, 0, 0, -2846, -1423, 0, 0, 0, 0, 0], [0, 0, -123438, 174747, 0, 0, 0, -158244, 0, 2082, -9953, -22760], [0, 0, 0, 0, 83826, 0, 115725, 0, 48244, 0, 0, 0], [0, 0, -1951284, -2280699, 0, 0, 0, -6953595, 0, -1885401, 314621, 719507]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-26996, 0, 0, 0, -12807, 0, 0, 0, -51, 0, 0, 0], [0, -1355560, 0, 512989, 0, -1170680, 0, 7435, 0, -4680, 0, 21], [0, 2654360, 0, 954721, 0, 878440, 0, 66055, 0, 3480, 0, 249], [0, 0, 993897, 0, 0, 0, 131895, 0, 0, 0, 513, 0], [8410200, 0, 1205037, 0, 3184560, 0, 388035, 0, 12600, 0, 1533, 0], [0, 0, -1205037, 0, 0, 0, -388035, 0, 0, 0, -1533, 0], [0, 438040, 0, 277643, 0, 175688, 0, 109805, 0, 696, 0, 435], [0, 0, 1013553, 0, 0, 0, 408105, 0, 0, 0, 1617, 0], [0, -66235, 0, -113378, 0, -5501, 0, -43922, 0, -21, 0, -174], [0, -3866280, 0, 2588781, 0, -1376280, 0, 915099, 0, -5448, 0, 3621], [0, 4094520, 0, -2318799, 0, 1991016, 0, -1134537, 0, 7896, 0, -4503]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '135.4.b.c', 'level': 135, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 2160, 'analytic_conductor': 7.965257850774983, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [135, 2, [56, 82], [2, 1]], 'conrey_index': 109, 'cusp_dim': 48, 'dim': 24, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 68786585735, 'hecke_orbit_dims': [4, 8, 12], 'label': '135.4.b', 'level': 135, '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': [3, 5], 'level_radical': 15, 'mf_dim': 60, 'mf_new_dim': 24, 'num_forms': 3, 'prim_orbit_index': 2, 'relative_dim': 24, 'sturm_bound': 72, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, -102, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 438, 0, 0, -108, 0, 0, 0, 0, 0, -354, 0, 0, 0, 0, 0, 180, 0, 0, 1830, 0, 0, 0, 0, 0, -582, 0, 0, 0, 0, 0, -258, 0, 0, -2460, 0, 0, 0, 0, 0, 1458, 0, 0, 0, 0, 0, -2088, 0, 0, -2700, 0, 0, 0, 0, 0, -4158, 0, 0, 0, 0, 0, 7914, 0, 0, 1440, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, -4104, 0, 0, -2556, 0, 0, 0, 0, 0, 9240, 0, 0, 0, 0, 0, 1578, 0, 0, 6408, 0, 0, 0, 0, 0, -5904, 0, 0, 0, 0, 0, 9096, 0, 0, 4782, 0, 0, 0, 0, 0, -5832, 0, 0, 0, 0, 0, -31488, 0, 0, 696, 0, 0, 0, 0, 0, 11556, 0, 0, 0, 0, 0, -384, 0, 0, 10692, 0, 0, 0, 0, 0, 12108, 0, 0, 0, 0, 0, 15330, 0, 0, -10020, 0, 0, 0, 0, 0, -26622, 0, 0, 0, 0, 0, -16704, 0, 0, -32532, 0, 0, 0, 0, 0, 25158, 0, 0, 0, 0, 0, 26682, 0, 0, 17544, 0, 0, 0, 0, 0, 9396, 0, 0, 0, 0, 0, 28044, 0, 0, -20268, 0, 0, 0, 0, 0, -25650, 0, 0, 0, 0, 0, -77832, 0, 0, 19440, 0, 0, 0, 0, 0, 6204, 0, 0, 0, 0, 0, 6156, 0, 0, 44850, 0, 0, 0, 0, 0, -29898, 0, 0, 0, 0, 0, 81990, 0, 0, -15120, 0, 0, 0, 0, 0, -34794, 0, 0, 0, 0, 0, -61344, 0, 0, -8898, 0, 0, 0, 0, 0, 56538, 0, 0, 0, 0, 0, 13500, 0, 0, 20940, 0, 0, 0, 0, 0, 26676, 0, 0, 0, 0, 0, 14904, 0, 0, -47694, 0, 0, 0, 0, 0, -31560, 0, 0, 0, 0, 0, -33126, 0, 0, -25812, 0, 0, 0, 0, 0, 61992, 0, 0, 0, 0, 0, 43464, 0, 0, 32214, 0, 0, 0, 0, 0, -42954, 0, 0, 0, 0, 0, 128334, 0, 0, 14976, 0, 0, 0, 0, 0, -25920, 0, 0, 0, 0, 0, -67512, 0, 0, -77544, 0, 0, 0, 0, 0, 3456, 0, 0, 0, 0, 0, -58620, 0, 0, -42372, 0, 0, 0, 0, 0, -17550, 0, 0, 0, 0, 0, 58728, 0, 0, 127146, 0, 0, 0, 0, 0, -48864, 0, 0, 0, 0, 0, -120744, 0, 0, 31680, 0, 0, 0, 0, 0, 24030, 0, 0, 0, 0, 0, 7632, 0, 0, 49224, 0, 0, 0, 0, 0, -19224, 0, 0, 0, 0, 0, -97818, 0, 0, -46656, 0, 0, 0, 0, 0, -49788, 0, 0, 0, 0, 0, 18576, 0, 0, -135150, 0, 0, 0, 0, 0, 175638, 0, 0, 0, 0, 0, 85356, 0, 0, 10800, 0, 0, 0, 0, 0, -1728, 0, 0, 0, 0, 0, 61776, 0, 0, 106386, 0, 0, 0, 0, 0, 125406, 0, 0, 0, 0, 0, -51978, 0, 0, 24372, 0, 0, 0, 0, 0, -59562, 0, 0, 0, 0, 0, -68796, 0, 0, -42198, 0, 0, 0, 0, 0, -56916, 0, 0, 0, 0, 0, 136656, 0, 0, -29460, 0, 0, 0, 0, 0, -33162, 0, 0, 0, 0, 0, -28032, 0, 0, 100230, 0, 0, 0, 0, 0, -40770, 0, 0, 0, 0, 0, -109392, 0, 0, 7884, 0, 0, 0, 0, 0, 101028, 0, 0, 0, 0, 0, -179460, 0, 0, -64800, 0, 0, 0, 0, 0, -8964, 0, 0, 0, 0, 0, 157674, 0, 0, 25968, 0, 0, 0, 0, 0, 79272, 0, 0, 0, 0, 0, 158760, 0, 0, 32736, 0, 0, 0, 0, 0, -106026, 0, 0, 0, 0, 0, 86724, 0, 0, -117456, 0, 0, 0, 0, 0, -35454, 0, 0, 0, 0, 0, 64224, 0, 0, -104442, 0, 0, 0, 0, 0, -343716, 0, 0, 0, 0, 0, -163122, 0, 0, -112536, 0, 0, 0, 0, 0, 73710, 0, 0, 0, 0, 0, -125232, 0, 0, 177060, 0, 0, 0, 0, 0, 185328, 0, 0, 0, 0, 0, 52062, 0, 0, 375732, 0, 0, 0, 0, 0, 19476, 0, 0, 0, 0, 0, -82476, 0, 0, 48420, 0, 0, 0, 0, 0, 170478, 0, 0, 0, 0, 0, -250416, 0, 0, -329352, 0, 0, 0, 0, 0, -72576, 0, 0, 0, 0, 0, 235872, 0, 0, -240702, 0, 0, 0, 0, 0, -50274, 0, 0, 0, 0, 0, 320658, 0, 0, 35244, 0, 0, 0, 0, 0, 5778, 0, 0, 0, 0, 0, -67716, 0, 0, 59076, 0, 0, 0, 0, 0, 136020, 0, 0, 0, 0, 0, 149718, 0, 0, 154368, 0, 0, 0, 0, 0, -216738, 0, 0, 0, 0, 0, 90072, 0, 0, -227010, 0, 0, 0, 0, 0, -54690, 0, 0, 0, 0, 0, -310920, 0, 0, 44388, 0, 0, 0, 0, 0, 67284, 0, 0, 0, 0, 0, 246720, 0, 0, 42984, 0, 0, 0, 0, 0, -202932, 0, 0, 0, 0, 0, -222696, 0, 0, 5232, 0, 0, 0, 0, 0, 307872, 0, 0, 0, 0, 0, -341364, 0, 0, 84810, 0, 0, 0, 0, 0, 125490, 0, 0, 0, 0, 0, 315060, 0, 0, 52740, 0, 0, 0, 0, 0, 47214, 0, 0, 0, 0, 0, 156600, 0, 0, -22578, 0, 0, 0, 0, 0, -231606, 0, 0, 0, 0, 0, 170382, 0, 0, -261468, 0, 0, 0, 0, 0, -44550, 0, 0, 0, 0, 0, 105600, 0, 0, 233628, 0, 0, 0, 0, 0, -496908, 0, 0, 0, 0, 0, -476142, 0, 0, -300624, 0, 0, 0, 0, 0, 20628, 0, 0, 0, 0, 0, -148068, 0, 0, 734502, 0, 0, 0, 0, 0, 600060, 0, 0, 0, 0, 0, 357372, 0, 0, 507168, 0, 0, 0, 0, 0, -68904, 0, 0, 0, 0, 0, -121224, 0, 0, 68394, 0, 0, 0, 0, 0, 50382, 0, 0, 0, 0, 0, -556986, 0, 0, -287280, 0, 0, 0, 0, 0, -109278, 0, 0, 0, 0, 0, 168084, 0, 0, -955800, 0, 0, 0, 0, 0, 371208], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 115619
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '135.4.b.c', 'source_level': 135, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '135.4.b.c', 'target_level': 135, 'twist_class_label': '135.4.b.c', 'twist_class_level': 135, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 115620
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '135.4.b.c', 'source_level': 135, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '135.4.b.c', 'target_level': 135, 'twist_class_label': '135.4.b.c', 'twist_class_level': 135, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 115621
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '135.4.b.c', 'source_level': 135, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '135.4.b.c', 'target_level': 135, 'twist_class_label': '135.4.b.c', 'twist_class_level': 135, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 115622
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '135.4.b.c', 'source_level': 135, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '135.4.b.c', 'target_level': 135, 'twist_class_label': '135.4.b.c', 'twist_class_level': 135, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 115623
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '135.4.b.c', 'source_level': 135, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '675.4.a.bb', 'target_level': 675, 'twist_class_label': '135.4.b.c', 'twist_class_level': 135, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 115624
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '135.4.b.c', 'source_level': 135, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '675.4.a.bb', 'target_level': 675, 'twist_class_label': '135.4.b.c', 'twist_class_level': 135, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 115625
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '135.4.b.c', 'source_level': 135, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '675.4.a.bc', 'target_level': 675, 'twist_class_label': '135.4.b.c', 'twist_class_level': 135, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 115626
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 12, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '135.4.b.c', 'source_level': 135, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '675.4.a.bc', 'target_level': 675, 'twist_class_label': '135.4.b.c', 'twist_class_level': 135, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 370175
{'charpoly_factorization': [[[500, 0, 378, 0, 39, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 2}
-
id: 370176
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9007268041326727, 'p': 3}
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id: 370177
{'charpoly_factorization': [[[3814697265625, 0, 42480468750, 0, 503671875, 0, 5069500, 0, 32235, 0, 174, 0, 1], 1]], 'hecke_orbit_code': 9007268041326727, 'p': 5}
-
id: 370178
{'charpoly_factorization': [[[19607184, 0, 664929, 0, 1746, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 7}
-
id: 370179
{'charpoly_factorization': [[[-192820500, 0, 1739232, 0, -3357, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 11}
-
id: 370180
{'charpoly_factorization': [[[16621655625, 0, 24289875, 0, 10251, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 13}
-
id: 370181
{'charpoly_factorization': [[[76335368000, 0, 65963952, 0, 16113, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 17}
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id: 370182
{'charpoly_factorization': [[[-119558, -5943, 0, 1], 4]], 'hecke_orbit_code': 9007268041326727, 'p': 19}
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id: 370183
{'charpoly_factorization': [[[307148112500, 0, 160585200, 0, 22989, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 23}
-
id: 370184
{'charpoly_factorization': [[[-4585850680500, 0, 909626112, 0, -54117, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 29}
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id: 370185
{'charpoly_factorization': [[[186100, -6528, -63, 1], 4]], 'hecke_orbit_code': 9007268041326727, 'p': 31}
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id: 370186
{'charpoly_factorization': [[[12916620360900, 0, 2537801361, 0, 97038, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 37}
-
id: 370187
{'charpoly_factorization': [[[-967871758050000, 0, 34599903300, 0, -368208, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 41}
-
id: 370188
{'charpoly_factorization': [[[9123033630096, 0, 1886589144, 0, 106209, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 43}
-
id: 370189
{'charpoly_factorization': [[[869738053832000, 0, 35337801648, 0, 408921, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 47}
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id: 370190
{'charpoly_factorization': [[[108910045472000, 0, 67194516852, 0, 516828, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 53}
-
id: 370191
{'charpoly_factorization': [[[-3571887155328000, 0, 222409654848, 0, -942336, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 59}
-
id: 370192
{'charpoly_factorization': [[[19133944, -122655, -198, 1], 4]], 'hecke_orbit_code': 9007268041326727, 'p': 61}
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id: 370193
{'charpoly_factorization': [[[1109946531600, 0, 3850465329, 0, 1127970, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 67}
-
id: 370194
{'charpoly_factorization': [[[-74765000118258000, 0, 619676923428, 0, -1537056, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 71}
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id: 370195
{'charpoly_factorization': [[[2673714161520900, 0, 503297255889, 0, 1434510, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 73}
-
id: 370196
{'charpoly_factorization': [[[285462565, -1056801, -549, 1], 4]], 'hecke_orbit_code': 9007268041326727, 'p': 79}
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id: 370197
{'charpoly_factorization': [[[14271238605128000, 0, 315345597012, 0, 1073532, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 83}
-
id: 370198
{'charpoly_factorization': [[[-3598493299200000, 0, 82280188800, 0, -531684, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 89}
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id: 370199
{'charpoly_factorization': [[[6684448191824520324, 0, 11438833871169, 0, 6030846, 0, 1], 2]], 'hecke_orbit_code': 9007268041326727, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 3, 'label': '135.4.b.c', 'level': 135, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 29703259
{'hecke_orbit_code': 9007268041326727, 'n': 1, 'trace_an': 12}
-
id: 29703260
{'hecke_orbit_code': 9007268041326727, 'n': 2, 'trace_an': 0}
-
id: 29703261
{'hecke_orbit_code': 9007268041326727, 'n': 3, 'trace_an': 0}
-
id: 29703262
{'hecke_orbit_code': 9007268041326727, 'n': 4, 'trace_an': -60}
-
id: 29703263
{'hecke_orbit_code': 9007268041326727, 'n': 5, 'trace_an': 0}
-
id: 29703264
{'hecke_orbit_code': 9007268041326727, 'n': 6, 'trace_an': 0}
-
id: 29703265
{'hecke_orbit_code': 9007268041326727, 'n': 7, 'trace_an': 0}
-
id: 29703266
{'hecke_orbit_code': 9007268041326727, 'n': 8, 'trace_an': 0}
-
id: 29703267
{'hecke_orbit_code': 9007268041326727, 'n': 9, 'trace_an': 0}
-
id: 29703268
{'hecke_orbit_code': 9007268041326727, 'n': 10, 'trace_an': -36}
-
id: 29703269
{'hecke_orbit_code': 9007268041326727, 'n': 11, 'trace_an': 0}
-
id: 29703270
{'hecke_orbit_code': 9007268041326727, 'n': 12, 'trace_an': 0}
-
id: 29703271
{'hecke_orbit_code': 9007268041326727, 'n': 13, 'trace_an': 0}
-
id: 29703272
{'hecke_orbit_code': 9007268041326727, 'n': 14, 'trace_an': 0}
-
id: 29703273
{'hecke_orbit_code': 9007268041326727, 'n': 15, 'trace_an': 0}
-
id: 29703274
{'hecke_orbit_code': 9007268041326727, 'n': 16, 'trace_an': 84}
-
id: 29703275
{'hecke_orbit_code': 9007268041326727, 'n': 17, 'trace_an': 0}
-
id: 29703276
{'hecke_orbit_code': 9007268041326727, 'n': 18, 'trace_an': 0}
-
id: 29703277
{'hecke_orbit_code': 9007268041326727, 'n': 19, 'trace_an': 0}
-
id: 29703278
{'hecke_orbit_code': 9007268041326727, 'n': 20, 'trace_an': 0}
-
id: 29703279
{'hecke_orbit_code': 9007268041326727, 'n': 21, 'trace_an': 0}
-
id: 29703280
{'hecke_orbit_code': 9007268041326727, 'n': 22, 'trace_an': 0}
-
id: 29703281
{'hecke_orbit_code': 9007268041326727, 'n': 23, 'trace_an': 0}
-
id: 29703282
{'hecke_orbit_code': 9007268041326727, 'n': 24, 'trace_an': 0}
-
id: 29703283
{'hecke_orbit_code': 9007268041326727, 'n': 25, 'trace_an': -348}
-
id: 29703284
{'hecke_orbit_code': 9007268041326727, 'n': 26, 'trace_an': 0}
-
id: 29703285
{'hecke_orbit_code': 9007268041326727, 'n': 27, 'trace_an': 0}
-
id: 29703286
{'hecke_orbit_code': 9007268041326727, 'n': 28, 'trace_an': 0}
-
id: 29703287
{'hecke_orbit_code': 9007268041326727, 'n': 29, 'trace_an': 0}
-
id: 29703288
{'hecke_orbit_code': 9007268041326727, 'n': 30, 'trace_an': 0}
-
id: 29703289
{'hecke_orbit_code': 9007268041326727, 'n': 31, 'trace_an': 252}
-
id: 29703290
{'hecke_orbit_code': 9007268041326727, 'n': 32, 'trace_an': 0}
-
id: 29703291
{'hecke_orbit_code': 9007268041326727, 'n': 33, 'trace_an': 0}
-
id: 29703292
{'hecke_orbit_code': 9007268041326727, 'n': 34, 'trace_an': 1068}
-
id: 29703293
{'hecke_orbit_code': 9007268041326727, 'n': 35, 'trace_an': 0}
-
id: 29703294
{'hecke_orbit_code': 9007268041326727, 'n': 36, 'trace_an': 0}
-
id: 29703295
{'hecke_orbit_code': 9007268041326727, 'n': 37, 'trace_an': 0}
-
id: 29703296
{'hecke_orbit_code': 9007268041326727, 'n': 38, 'trace_an': 0}
-
id: 29703297
{'hecke_orbit_code': 9007268041326727, 'n': 39, 'trace_an': 0}
-
id: 29703298
{'hecke_orbit_code': 9007268041326727, 'n': 40, 'trace_an': 1320}
-
id: 29703299
{'hecke_orbit_code': 9007268041326727, 'n': 41, 'trace_an': 0}
-
id: 29703300
{'hecke_orbit_code': 9007268041326727, 'n': 42, 'trace_an': 0}
-
id: 29703301
{'hecke_orbit_code': 9007268041326727, 'n': 43, 'trace_an': 0}
-
id: 29703302
{'hecke_orbit_code': 9007268041326727, 'n': 44, 'trace_an': 0}
-
id: 29703303
{'hecke_orbit_code': 9007268041326727, 'n': 45, 'trace_an': 0}
-
id: 29703304
{'hecke_orbit_code': 9007268041326727, 'n': 46, 'trace_an': -1668}
-
id: 29703305
{'hecke_orbit_code': 9007268041326727, 'n': 47, 'trace_an': 0}
-
id: 29703306
{'hecke_orbit_code': 9007268041326727, 'n': 48, 'trace_an': 0}
-
id: 29703307
{'hecke_orbit_code': 9007268041326727, 'n': 49, 'trace_an': -2868}
-
id: 29703308
{'hecke_orbit_code': 9007268041326727, 'n': 50, 'trace_an': 0}
-
id: 29703309
{'hecke_orbit_code': 9007268041326727, 'n': 51, 'trace_an': 0}
-
id: 29703310
{'hecke_orbit_code': 9007268041326727, 'n': 52, 'trace_an': 0}
-
id: 29703311
{'hecke_orbit_code': 9007268041326727, 'n': 53, 'trace_an': 0}
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