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mf_newforms • Show schema
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{'Nk2': 2668, 'analytic_conductor': 5.326021814819401, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[23, -1], [29, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [667, 1, [465, 553], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 16, 'field_disc': 3293284236965066467007900864, 'field_disc_factorization': [[2, 6], [983, 1], [2207, 1], [4988831, 1], [4754387750341, 1]], 'field_poly': [64, 336, -505, -3011, 1842, 6612, -2496, -5877, 1860, 2592, -795, -597, 187, 68, -22, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [64, 336, -505, -3011, 1842, 6612, -2496, -5877, 1860, 2592, -795, -597, 187, 68, -22, -3, 1]]], 'hecke_orbit': 4, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
Hide schema
{'AL_dims': [[[[23, 1], [29, -1]], 13, 1], [[[23, -1], [29, -1]], 10, 1], [[[23, 1], [29, 1]], 12, 1], [[[23, -1], [29, 1]], 16, 1]], 'ALdims': [12, 13, 16, 10], 'Nk2': 2668, 'analytic_conductor': 5.326021814819401, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [667, 1, [465, 553], [1, 1]], 'conrey_index': 1, 'cusp_dim': 59, 'dim': 51, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555099, 'hecke_orbit_dims': [10, 12, 13, 16], 'label': '667.2.a', 'level': 667, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [23, 29], 'level_radical': 667, 'mf_dim': 62, 'mf_new_dim': 51, 'num_forms': 4, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 51, 'sturm_bound': 120, 'trace_bound': 1, 'trace_display': [1, -4, 6, -4], 'traces': [51, 1, -4, 53, 6, 8, -4, -3, 47, -10, 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mf_twists_cc • Show schema
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id: 42585385
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13510798915666587, 'source_is_minimal': True, 'source_label': '667.2.a.d.1.4', 'source_level': 667, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510798915666587, 'target_is_minimal': True, 'target_label': '667.2.a.d.1.4', 'target_level': 667, 'twist_class_label': '667.2.a.d.1.4', 'twist_class_level': 667, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42585386
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13510798915666587, 'source_is_minimal': True, 'source_label': '667.2.a.d.1.4', 'source_level': 667, 'target_conrey_index': 1, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 72057594071488371, 'target_is_minimal': False, 'target_label': '6003.2.a.q.1.13', 'target_level': 6003, 'twist_class_label': '667.2.a.d.1.4', 'twist_class_level': 667, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1187200
{'charpoly_factorization': [[[64, 336, -505, -3011, 1842, 6612, -2496, -5877, 1860, 2592, -795, -597, 187, 68, -22, -3, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 2}
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id: 1187201
{'charpoly_factorization': [[[256, 4736, 5760, -17000, -15553, 25490, 13436, -19520, -4215, 7682, 170, -1533, 142, 144, -23, -5, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 3}
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id: 1187202
{'charpoly_factorization': [[[-33344, -189152, -126004, 506820, 121383, -455162, 11026, 186834, -37488, -36247, 13033, 2509, -1738, 112, 73, -16, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 5}
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id: 1187203
{'charpoly_factorization': [[[-278528, 462848, 1052416, -2507520, 722656, 1341600, -697249, -303266, 198765, 36349, -27297, -2397, 1967, 80, -71, -1, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 7}
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id: 1187204
{'charpoly_factorization': [[[192704, -2800416, 11769660, -10788296, -3648929, 7486347, -602830, -1826592, 349083, 210270, -48606, -12314, 3032, 355, -89, -4, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 11}
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id: 1187205
{'charpoly_factorization': [[[2778588, -5587680, -25609189, 59312151, -25878106, -17375677, 13935237, 487996, -2204535, 262700, 143883, -29994, -3368, 1175, -15, -15, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 13}
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id: 1187206
{'charpoly_factorization': [[[157952, -177760, -2752156, 5853200, 2824521, -10365785, 1442989, 4897926, -1789102, -418537, 264344, -12608, -9977, 1466, 46, -20, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 17}
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id: 1187207
{'charpoly_factorization': [[[-10881280, 28087104, 58816980, -181769172, 105569981, 28426102, -33205918, 118384, 3936405, -245618, -240288, 16703, 8087, -437, -142, 4, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 19}
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id: 1187208
{'charpoly_factorization': [[[-1, 1], 16]], 'hecke_orbit_code': 13510798915666587, 'p': 23}
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id: 1187209
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 13510798915666587, 'p': 29}
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id: 1187210
{'charpoly_factorization': [[[148582656, 8717559264, 2371223812, -5508249476, -526978023, 1382678132, -73895026, -148682956, 23279091, 5436106, -1223305, -80111, 26471, 411, -263, 0, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 31}
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id: 1187211
{'charpoly_factorization': [[[78877952, 360276192, -825260124, -2577467016, 2111918221, 2388536953, -688859210, -228216883, 56882942, 8696813, -2035868, -160616, 35983, 1436, -307, -5, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 37}
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id: 1187212
{'charpoly_factorization': [[[4709632, 30296704, 46444496, 152752, -48516648, -29183744, 7240949, 11013179, 1775085, -1068376, -368239, 4820, 12878, 568, -177, -7, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 41}
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id: 1187213
{'charpoly_factorization': [[[489266892, 2796193224, 4712736955, 1720403525, -1823254235, -1005582196, 237675257, 157411583, -10979894, -10194352, 42825, 294863, 8158, -3760, -175, 17, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 43}
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id: 1187214
{'charpoly_factorization': [[[-3749718976, 13316209472, -11963351428, -929984284, 5625927051, -1987146058, -310961688, 283399393, -28600325, -10819537, 2516889, 14480, -51128, 4341, 114, -29, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 47}
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id: 1187215
{'charpoly_factorization': [[[114419215472, 649249375200, -1675777940616, 1490268381784, -638044950697, 121230037608, 4222244827, -6641141654, 1149683887, -16941187, -19942965, 2690377, -76948, -13227, 1497, -63, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 53}
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id: 1187216
{'charpoly_factorization': [[[1514229698560, 2848352324096, 38592008592, -677964912680, 17032174569, 55601933241, -2866027128, -2248556651, 151189086, 50199707, -3870547, -628879, 52568, 4127, -363, -11, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 59}
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id: 1187217
{'charpoly_factorization': [[[1260900834304, -1721765584768, -657416162160, 783388811456, 241028860056, -60227071248, -19693569343, 1835213786, 688769878, -26104720, -12264003, 173556, 115786, -442, -546, 0, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 61}
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id: 1187218
{'charpoly_factorization': [[[10321323188224, -4187483445248, -2540905354304, 822271112608, 248818401452, -64286170948, -12669928353, 2595172170, 371787768, -58539276, -6550150, 739996, 68939, -4877, -402, 13, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 67}
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id: 1187219
{'charpoly_factorization': [[[13531730176, 10907213312, -48434469940, -76460846648, -30989190473, 3753944191, 4715805584, 455793341, -216911388, -37916416, 3434685, 930098, -3931, -8507, -252, 23, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 71}
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id: 1187220
{'charpoly_factorization': [[[-194107921412096, 22440956319232, 72897514237616, -3221198995104, -6234212087576, -50073176560, 224095705123, 9366628506, -3960613110, -264827235, 34680545, 3209788, -122910, -17973, -66, 38, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 73}
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id: 1187221
{'charpoly_factorization': [[[-238723830651340, -517010111001372, -384299796406363, -108274373950300, -3438594995398, 4141849474220, 712918813246, -5475604861, -11123646624, -713628937, 51912104, 6761840, 6249, -22977, -571, 27, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 79}
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id: 1187222
{'charpoly_factorization': [[[-4205662739456, 4054497565696, 3291040884864, -1087698930112, -598619629724, 114475591208, 44481748949, -5920639933, -1508513674, 164764364, 21804711, -2550131, -101415, 17303, -132, -36, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 83}
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id: 1187223
{'charpoly_factorization': [[[-16474890357760, -8883118201984, 5111658599664, 2965007549088, -437074318649, -320887789194, 7653282748, 14351472399, 421941931, -270855086, -13167326, 2415843, 137150, -10112, -613, 16, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 89}
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id: 1187224
{'charpoly_factorization': [[[-7348432195646208, -71679253206528, 986976636800112, 60450089250208, -45364562106584, -4255390108176, 911941533591, 111646572778, -8235719551, -1378720110, 24813298, 8566709, 78665, -25832, -626, 30, 1], 1]], 'hecke_orbit_code': 13510798915666587, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '667.2.a.d', 'level': 667, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 126045000
{'hecke_orbit_code': 13510798915666587, 'n': 1, 'trace_an': 16}
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id: 126045001
{'hecke_orbit_code': 13510798915666587, 'n': 2, 'trace_an': 3}
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id: 126045002
{'hecke_orbit_code': 13510798915666587, 'n': 3, 'trace_an': 5}
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id: 126045003
{'hecke_orbit_code': 13510798915666587, 'n': 4, 'trace_an': 21}
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id: 126045004
{'hecke_orbit_code': 13510798915666587, 'n': 5, 'trace_an': 16}
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id: 126045005
{'hecke_orbit_code': 13510798915666587, 'n': 6, 'trace_an': 6}
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id: 126045006
{'hecke_orbit_code': 13510798915666587, 'n': 7, 'trace_an': 1}
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id: 126045007
{'hecke_orbit_code': 13510798915666587, 'n': 8, 'trace_an': 9}
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id: 126045008
{'hecke_orbit_code': 13510798915666587, 'n': 9, 'trace_an': 23}
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id: 126045009
{'hecke_orbit_code': 13510798915666587, 'n': 10, 'trace_an': -14}
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id: 126045010
{'hecke_orbit_code': 13510798915666587, 'n': 11, 'trace_an': 4}
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id: 126045011
{'hecke_orbit_code': 13510798915666587, 'n': 12, 'trace_an': 3}
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id: 126045012
{'hecke_orbit_code': 13510798915666587, 'n': 13, 'trace_an': 15}
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id: 126045013
{'hecke_orbit_code': 13510798915666587, 'n': 14, 'trace_an': 8}
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id: 126045014
{'hecke_orbit_code': 13510798915666587, 'n': 15, 'trace_an': 8}
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id: 126045015
{'hecke_orbit_code': 13510798915666587, 'n': 16, 'trace_an': 23}
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id: 126045016
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