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mf_newforms • Show schema
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{'Nk2': 2835, 'analytic_conductor': 8.583128327349351, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': -1, 'char_values': [315, 2, [281, 127, 136], [2, 1, 1]], 'cm_discs': [-35], 'conrey_index': 244, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [0, 1]], [13, [19, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874555609403, 'hecke_ring_generator_nbound': 1, '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, 35, 3, -1, 2, -35]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '315.3.e.b', 'level': 315, '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, 7], 'level_radical': 105, 'minimal_twist': '35.3.c.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 3, 'qexp_display': 'q+4q^{4}+5q^{5}+7q^{7}+13q^{11}-19q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '2.2.1.d2', 'self_twist_discs': [-35], 'self_twist_type': 1, 'space_label': '315.3.e', 'trace_display': [0, 0, 5, 7], 'trace_hash': 1120090431911718555, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.958', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.827', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.316', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.513', 'prec': 17}, 'traces': [1, 0, 0, 4, 5, 0, 7, 0, 0, 0, 13, 0, -19, 0, 0, 16, -29, 0, 0, 20, 0, 0, 0, 0, 25, 0, 0, 28, -23, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 31, 0, 49, 0, 0, -76, 0, 0, 65, 0, 0, 0, 0, 0, 0, 0, 0, 64, -95, 0, 0, -116, 0, 0, -2, 0, -34, 0, 0, 0, 91, 0, -157, 80, 0, 0, -86, 0, -145, 0, 0, 0, 0, 0, -133, 0, 0, 0, 0, 0, 149, 0, 0, 100, 0, 0, -199, 0, 0, 0, 0, 0, -97, 0, 0, 112, 0, 0, 0, -92, 0, 0, -203, 0, 48, 0, 0, 0, 125, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, -247, 0, -115, 0, 0, 0, 262, 0, -13, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, 0, 0, 0, 0, 271, 0, 192, 0, 0, 0, -221, 0, 175, 208, 0, 0, -218, 0, 0, 0, 0, 0, 0, 0, -377, 124, 0, 0, -347, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, 0, -161, 0, 0, 0, 0, -304, 0, 0, 107, 0, 0, 0, 0, 0, 0, 0, 0, 260, 551, 0, 401, 0, 0, 0, 391, 0, 0, 0, 0, 0, 0, 0, 155, 0, 0, 0, 397, 0, 0, 0, 0, 0, 245, 0, 0, 0, 0, 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0, 0, 97, 0, 0, -644, 0, 0, 0, 0, 0, 0, 0, 0, -1607, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1216, -1421, 0, 1355, 0, 0, 0, 0, 0, -312, 0, 0, 428, 960, 0, 336, 0, 0, 0, 0, 0, 86, 0, 0, 0, 706, 0, 0, 0, 0, 0, 0, 0, -1105, 0, 0, 0, -2041, 0, 0, 0, 0, 0, 875, 0, 0, 0, 0, 1040, 0, 0, 0, 2204, 0, 0, -494, 0, 0, 0, 0, 1604, 0, 0, -1090, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1564, 0, 0, 1678, 0, -1118, 0, 0, 0, 0, 0, -997, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1885, 0, 1829, 0, 0, 620, 0, 0, 0, 0, 0, 0, 0, 0, 646, 0, 0, 0, 0, 0, -1735, 1588, 0, 0, 0, 0, 961, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 980, 0, 0, -1121, 0, 0, 0, 0, 0, 0, 0, 722, 0, 0, 0, 0, 0, -1651, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [4], [5], [0], [7], [0], [0], [0], [13], [0], [-19], [0], [0], [16], [-29], [0], [0], [20], [0], [0], [0], [0], [25], [0], [0], [28], [-23], [0], [0], [0], [0], [0], [35], [0], [0], [0], [0], [0], [0], [0], [0], [52], [0], [0], [31], [0], [49], [0], [0], [-76], [0], [0], [65], [0], [0], [0], [0], [0], [0], [0], [0], [64], [-95], [0], [0], [-116], [0], [0], [-2], [0], [-34], [0], [0], [0], [91], [0], [-157], [80], [0], [0], [-86], [0], [-145], [0], [0], [0], [0], [0], [-133], [0], [0], [0], [0], [0], [149], [0], [0], [100]], 'ap': [[0], [0], [5], [7], [13], [-19], [-29], [0], [0], [-23], [0], [0], [0], [0], [31], [0], [0], [0], [0], [-2], [-34], [-157], [-86], [0], [149], [0], [-199], [0], [-97], [0], [0], [0], [0], [0], [262], [-13], [134], [0], [271], [-221], [-218], [0], [-347], [0], [0], [0], [107], [401], [391], [0], [0], [397], [0], [0], [-494], [0], [0], [0], [0], [-527], [-559], [19], [569], [0], [221], [0], [-598], [0], [0], [0], [139], [-578], [-391], [0], [-502], [514], [-743], [389], [73], [0], [0], [527], [853], [-754], [0], [0], [817], [0], [0], [0], [871], [0], [0], [-107], [683], [439], [0], [0], [326], [767], [0], [0], [874], [1102], [-118], [29], [-1094], [619], [-323], [0], [809], [0], [0], [0], [947], [958], [1241], [-974], [0], [-1283], [0], [0], [1291], [0], [0], [313], [-1417], [0], [-1426], [1061], [-1357], [0], [-1333], [0], [0], [0], [-1541], [449], [1531], [97], [0], [-1607], [0], [0], [0], [0], [86], [706], [0], [0], [0], [0], [0], [-494], [0], [1678], [-997], [0], [1829], [0], [0], [0], [0], [0], [0], [-1121], [722], [-1651]], 'char_orbit_index': 5, 'field_poly': [0, 1], 'hecke_orbit_code': 4503874555609403, 'hecke_ring_character_values': [[281, [1]], [127, [-1]], [136, [-1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '315.3.e.b', 'level': 315, 'maxp': 997, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 2835, 'analytic_conductor': 8.583128327349351, 'char_conductor': 35, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': -1, 'char_values': [315, 2, [281, 127, 136], [2, 1, 1]], 'conrey_index': 244, 'cusp_dim': 88, 'dim': 38, 'eis_dim': 16, 'eis_new_dim': 4, 'hecke_cutter_primes': [2, 13], 'hecke_orbit_code': 274928238907, 'hecke_orbit_dims': [1, 1, 4, 16, 16], 'label': '315.3.e', 'level': 315, '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, 7], 'level_radical': 105, 'mf_dim': 104, 'mf_new_dim': 42, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 38, 'sturm_bound': 144, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [38, 0, 0, -76, 0, 0, 0, 0, 0, 0, 26, 0, 0, 48, 0, 116, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, -70, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, -96, 0, 0, -154, 276, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 44, 86, 0, 0, 0, 0, 144, 116, 0, 0, 264, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, -122, -48, 0, 0, 0, 0, 286, 0, 0, 0, -516, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, -120, 0, 0, -506, 0, 0, 0, 0, 0, 0, 848, 0, 0, 866, 0, 348, 0, 0, 0, 0, 0, 0, 0, 0, 924, 0, 0, 0, -1968, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, 0, -172, 0, -818, 0, 0, -624, 336, 0, 0, 0, 0, 0, -960, 0, 0, 0, 0, 0, 0, 0, 1044, 1536, 0, 0, 0, 0, 276, 2048, 0, 0, 476, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -996, -1678, 0, 0, 0, 0, 1220, 0, 0, 0, -3396, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, -1922, 0, 0, 1416, 0, 0, 0, 0, 0, 0, 1534, 0, 0, 2112, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 2062, 0, 0, 0, -1654, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 1944, 0, -1612, 0, 0, -1536, 1028, 0, 0, 0, 0, 0, -2472, 0, 0, 0, 0, 0, 0, 0, 3792, 2066, 0, 0, 0, 0, -2112, 1418, 0, 0, -184, 0, 0, 0, 0, 2172, 0, 0, 0, 0, 0, 348, -4728, 0, 0, 0, 0, 840, 0, 0, 0, -2820, 0, 0, 0, 0, -2928, 0, 0, 0, 0, 0, 184, 0, 0, -1222, 0, 0, 0, 0, 0, 0, 6288, 0, 0, 2594, 0, 1948, 0, 0, 0, 0, 0, 0, 0, 0, 880, 0, 0, 0, -4080, 0, 0, 0, 0, 0, 2484, 0, 0, 0, 0, 0, 0, 0, 0, 236, 0, -2626, 0, 0, -1472, -148, 0, 0, 0, 0, 0, -3864, 0, 0, 0, 0, 0, 0, 0, -500, 3012, 0, 0, 0, 0, -314, 1320, 0, 0, -1942, 0, 0, 0, 0, -5688, 0, 0, 0, 0, 0, -160, -2638, 0, 0, 0, 0, 4920, 0, 0, 0, -7344, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, -1562, 0, 0, 216, 0, 0, 0, 0, 0, 0, 5786, 0, 0, 648, 0, 8560, 0, 0, 0, 0, 0, 0, 0, 0, 3864, 0, 0, 0, 1754, 0, 0, 0, 0, 0, 2292, 0, 0, 0, 0, 0, 0, 0, 0, 3368, 0, -8496, 0, 0, -600, 384, 0, 0, 0, 0, 0, -8656, 0, 0, 0, 0, 0, 0, 0, -972, 4538, 0, 0, 0, 0, -216, 1802, 0, 0, -3672, 0, 0, 0, 0, -866, 0, 0, 0, 0, 0, 612, -8688, 0, 0, 0, 0, 3076, 0, 0, 0, -3598, 0, 0, 0, 0, -1308, 0, 0, 0, 0, 0, -6360, 0, 0, 6854, 0, 0, 0, 0, 0, 0, 18384, 0, 0, 2858, 0, -2618, 0, 0, 0, 0, 0, 0, 0, 0, 8328, 0, 0, 0, -2472, 0, 0, 0, 0, 0, 7324, 0, 0, 0, 0, 0, 0, 0, 0, -964, 0, -3188, 0, 0, 600, -3648, 0, 0, 0, 0, 0, -4804, 0, 0, 0, 0, 0, 0, 0, 1632, 2700, 0, 0, 0, 0, -5160, 4760, 0, 0, -7198, 0, 0, 0, 0, 688, 0, 0, 0, 0, 0, 4764, -6842, 0, 0, 0, 0, 2208, 0, 0, 0, -8928, 0, 0, 0, 0, -8386, 0, 0, 0, 0, 0, 5350, 0, 0, -600, 0, 0, 0, 0, 0, 0, 13148, 0, 0, 336, 0, 11520, 0, 0, 0, 0, 0, 0, 0, 0, -1212, 0, 0, 0, 2186, 0, 0, 0, 0, 0, 3132, 0, 0, 0, 0, 0, 0, 0, 0, 10728, 0, -15012, 0, 0, -3530, -7728, 0, 0, 0, 0, 0, -5616, 0, 0, 0, 0, 0, 0, 0, -5448, 6828, 0, 0, 0, 0, -5028, 1226, 0, 0, -11200, 0, 0, 0, 0, -4682, 0, 0, 0, 0, 0, 3266, -16768, 0, 0, 0, 0, 6646, 0, 0, 0, -6382, 0, 0, 0, 0, 3840, 0, 0, 0, 0, 0, -192, 0, 0, 5422, 0, 0, 0, 0, 0, 0, 14856, 0, 0, 744, 0, 11374, 0, 0, 0, 0, 0, 0, 0, 0, 8964, 0, 0, 0, 6416, 0, 0, 0, 0, 0, 10152, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, -11476, 0, 0, -172, -6976, 0, 0, 0, 0, 0, -8088, 0, 0, 0, 0, 0, 0, 0, -7990, 10068, 0, 0, 0, 0, 2640, 6096, 0, 0, -9982, 0, 0, 0, 0, -8256, 0, 0, 0, 0, 0, -1944, -6934, 0, 0, 0, 0, 1944, 0, 0, 0, -10764, 0, 0, 0, 0, -5306, 0, 0, 0, 0, 0, -7044, 0, 0, 16432, 0, 0, 0, 0, 0, 0, 14448, 0, 0, -720, 0, -6696, 0, 0, 0, 0, 0, 0, 0, 0, 4186, 0, 0, 0, 5662, 0, 0, 0, 0, 0, 4066, 0, 0, 0, 0, 0, 0, 0, 0, 17704, 0, -7320, 0, 0, 2616, -3648, 0, 0, 0, 0, 0, -10440, 0, 0, 0, 0, 0, 0, 0, 17256, 10284, 0, 0, 0, 0, -15300, -916, 0, 0, -11928, 0, 0, 0, 0, 7030, 0, 0, 0, 0, 0, 9384, -23568, 0, 0, 0, 0, 1056, 0, 0, 0, -3770, 0, 0, 0, 0, -16160, 0, 0, 0, 0, 0, 7824, 0, 0, -1492, 0, 0, 0, 0, 0, 0, 23624, 0, 0, 5952, 0, 9158, 0, 0, 0, 0, 0, 0, 0, 0, 2280, 0, 0, 0, -1272, 0, 0, 0, 0, 0, 12744, 0, 0, 0, 0, 0, 0, 0, 0, -2928, 0, -12044, 0, 0, -3168, -9720, 0, 0, 0, 0, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 240603
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 3, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.3.c.a', 'target_level': 35, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 240604
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 3, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.3.c.a', 'target_level': 35, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 240605
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 3, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '35.3.c.b', 'target_level': 35, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 240606
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 3, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '35.3.c.b', 'target_level': 35, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 3}
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id: 240607
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '175.3.d.e', 'target_level': 175, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 240608
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '175.3.d.e', 'target_level': 175, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 240609
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '245.3.i.a', 'target_level': 245, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 240610
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '245.3.i.a', 'target_level': 245, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 3}
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id: 240611
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '245.3.i.b', 'target_level': 245, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 3}
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id: 240612
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '245.3.i.b', 'target_level': 245, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 3}
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id: 240613
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '315.3.e.a', 'target_level': 315, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 240614
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '315.3.e.a', 'target_level': 315, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 240615
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '315.3.e.b', 'target_level': 315, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 240616
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -35, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 5, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '315.3.e.b', 'target_level': 315, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 240617
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 16, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '560.3.p.a', 'target_level': 560, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 240618
{'conductor': 420, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 16, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '560.3.p.a', 'target_level': 560, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '420.o', 'twisting_char_orbit': 15, 'weight': 3}
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id: 240619
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 16, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '560.3.p.b', 'target_level': 560, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 240620
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '315.3.e.b', 'source_level': 315, 'target_char_orbit': 16, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '560.3.p.b', 'target_level': 560, 'twist_class_label': '35.3.c.a', 'twist_class_level': 35, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 693475
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 2}
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id: 693476
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 3}
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id: 693477
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 5}
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id: 693478
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 7}
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id: 693479
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 11}
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id: 693480
{'charpoly_factorization': [[[19, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 13}
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id: 693481
{'charpoly_factorization': [[[29, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 17}
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id: 693482
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 19}
-
id: 693483
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 23}
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id: 693484
{'charpoly_factorization': [[[23, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 29}
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id: 693485
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 31}
-
id: 693486
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 37}
-
id: 693487
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 41}
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id: 693488
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 43}
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id: 693489
{'charpoly_factorization': [[[-31, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 47}
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id: 693490
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 53}
-
id: 693491
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 59}
-
id: 693492
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 61}
-
id: 693493
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 67}
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id: 693494
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 71}
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id: 693495
{'charpoly_factorization': [[[34, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 73}
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id: 693496
{'charpoly_factorization': [[[157, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 79}
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id: 693497
{'charpoly_factorization': [[[86, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 83}
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id: 693498
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 89}
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id: 693499
{'charpoly_factorization': [[[-149, 1], 1]], 'hecke_orbit_code': 4503874555609403, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '315.3.e.b', 'level': 315, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 22150825
{'hecke_orbit_code': 4503874555609403, 'n': 1, 'trace_an': 1}
-
id: 22150826
{'hecke_orbit_code': 4503874555609403, 'n': 2, 'trace_an': 0}
-
id: 22150827
{'hecke_orbit_code': 4503874555609403, 'n': 3, 'trace_an': 0}
-
id: 22150828
{'hecke_orbit_code': 4503874555609403, 'n': 4, 'trace_an': 4}
-
id: 22150829
{'hecke_orbit_code': 4503874555609403, 'n': 5, 'trace_an': 5}
-
id: 22150830
{'hecke_orbit_code': 4503874555609403, 'n': 6, 'trace_an': 0}
-
id: 22150831
{'hecke_orbit_code': 4503874555609403, 'n': 7, 'trace_an': 7}
-
id: 22150832
{'hecke_orbit_code': 4503874555609403, 'n': 8, 'trace_an': 0}
-
id: 22150833
{'hecke_orbit_code': 4503874555609403, 'n': 9, 'trace_an': 0}
-
id: 22150834
{'hecke_orbit_code': 4503874555609403, 'n': 10, 'trace_an': 0}
-
id: 22150835
{'hecke_orbit_code': 4503874555609403, 'n': 11, 'trace_an': 13}
-
id: 22150836
{'hecke_orbit_code': 4503874555609403, 'n': 12, 'trace_an': 0}
-
id: 22150837
{'hecke_orbit_code': 4503874555609403, 'n': 13, 'trace_an': -19}
-
id: 22150838
{'hecke_orbit_code': 4503874555609403, 'n': 14, 'trace_an': 0}
-
id: 22150839
{'hecke_orbit_code': 4503874555609403, 'n': 15, 'trace_an': 0}
-
id: 22150840
{'hecke_orbit_code': 4503874555609403, 'n': 16, 'trace_an': 16}
-
id: 22150841
{'hecke_orbit_code': 4503874555609403, 'n': 17, 'trace_an': -29}
-
id: 22150842
{'hecke_orbit_code': 4503874555609403, 'n': 18, 'trace_an': 0}
-
id: 22150843
{'hecke_orbit_code': 4503874555609403, 'n': 19, 'trace_an': 0}
-
id: 22150844
{'hecke_orbit_code': 4503874555609403, 'n': 20, 'trace_an': 20}
-
id: 22150845
{'hecke_orbit_code': 4503874555609403, 'n': 21, 'trace_an': 0}
-
id: 22150846
{'hecke_orbit_code': 4503874555609403, 'n': 22, 'trace_an': 0}
-
id: 22150847
{'hecke_orbit_code': 4503874555609403, 'n': 23, 'trace_an': 0}
-
id: 22150848
{'hecke_orbit_code': 4503874555609403, 'n': 24, 'trace_an': 0}
-
id: 22150849
{'hecke_orbit_code': 4503874555609403, 'n': 25, 'trace_an': 25}
-
id: 22150850
{'hecke_orbit_code': 4503874555609403, 'n': 26, 'trace_an': 0}
-
id: 22150851
{'hecke_orbit_code': 4503874555609403, 'n': 27, 'trace_an': 0}
-
id: 22150852
{'hecke_orbit_code': 4503874555609403, 'n': 28, 'trace_an': 28}
-
id: 22150853
{'hecke_orbit_code': 4503874555609403, 'n': 29, 'trace_an': -23}
-
id: 22150854
{'hecke_orbit_code': 4503874555609403, 'n': 30, 'trace_an': 0}
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