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mf_newforms • Show schema
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{'Nk2': 272, 'analytic_conductor': 1.0030324700975903, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 8, 'char_parity': 1, 'char_values': [17, 8, [3], [7]], 'cm_discs': [], 'conrey_index': 2, 'conrey_indexes': [2, 8, 9, 15], 'dim': 12, 'field_disc': 2468723793623592730624, 'field_disc_factorization': [[2, 24], [7, 2], [89, 2], [19471, 2]], 'field_poly': [16384, 0, 49664, 0, 38276, 0, 9836, 0, 1085, 0, 54, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 206225539089, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 4, 1, 8, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '17.4.d.a', 'level': 17, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [17], 'level_radical': 17, 'minimal_twist': '17.4.d.a', 'prim_orbit_index': 4, 'qexp_display': 'q+(-\\beta _{3}-\\beta _{10})q^{2}+\\beta _{8}q^{3}+(-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c8', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '17.4.d', 'trace_display': [-4, -4, -20, -4], 'trace_hash': 938593745711797365, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.053', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '403.413', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, -1, 1, 1, 0, 1, -1, 0, 0, -1, 0, 0], [-2, 0, -2, -1, -1, -1, 1, -1, 0, 1, 0, -1], [1, 1, 1, 1, 2, 0, -1, 1, -1, 1, 2, 1], [-2, 1, 0, 2, -2, 0, 2, 0, -2, 0, 2, -1], [2, 2, -3, 0, 2, -3, 1, 1, -3, 2, 0, 3], [-4, 2, 5, 0, 2, 1, 2, 2, 1, -4, 0, 0], [-10, -4, 3, 10, -4, 3, -3, 0, 3, -3, 4, 4], [2, -7, -8, 2, 1, 0, -1, -5, -1, -8, 1, -7], [5, 4, 5, -19, -1, -3, -1, -3, 0, 19, -4, -1], [0, 6, -11, -11, 0, 3, -3, 4, 4, 2, -6, -6], [-7, -4, 7, 11, -2, 1, 0, -1, 6, 11, -4, 2], [20, -5, 0, 12, 5, 0, -2, 2, 0, -20, 2, 0], [21, 0, 9, -9, -5, 5, 5, 2, -2, 0, -8, 8], [12, -4, -6, -10, 1, -8, 4, -2, 1, -31, -15, 8], [7, 0, 16, -16, 13, 1, 1, -2, 2, 0, -1, 1], [-14, 19, 0, -16, -19, 3, -3, 3, -3, 14, 14, 0], [38, 8, -38, 29, 12, -6, 0, 6, -9, 29, 8, -12], [0, -16, 40, 40, 0, 1, -1, -5, -5, 10, -5, -5], [-65, -7, -65, -13, -16, -4, -1, -4, 0, 13, 7, -16], [-20, 9, 24, -20, 24, 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0, 9564, 1415, 2224], [-3781, 2974, 13280, -3781, 3027, 0, 1319, 967, 1319, 13280, 3027, 2974]], 'char_orbit_index': 4, 'field_poly': [16384, 0, 49664, 0, 38276, 0, 9836, 0, 1085, 0, 54, 0, 1], 'hecke_orbit_code': 206225539089, 'hecke_ring_character_values': [[3, [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1392640, 1392640, 544, 1392640, 1392640, 1392640, 1392640, 69632, 174080, 174080], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-8, 0, 1, -1, 1, 0, 0, -1, 1, 0, 0, 0], [0, -13, -1, -1, 0, 0, 0, 1, 1, 6, 2, 2], [106, 0, -31, 31, -21, -1, -1, 16, -16, 0, 0, 0], [0, 189, 19, 19, 0, 4, -4, -15, -15, -138, -50, -50], [-1574, 0, 619, -619, 373, 31, 31, -250, 250, 0, 28, -28], [0, -2885, -535, -535, 0, -120, 120, 191, 191, 2602, 990, 990], [24438, 0, -11187, 11187, -6349, -679, -679, 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-459720, -386545, -34800, -18510, -872, -325], [0, 239872, 0, 336716, 0, 114052, 0, 15367, 0, 898, 0, 19], [2048, -361216, -211424, -577932, -86432, -216036, -7960, -33575, -80, -2210, 8, -51], [-2048, -361216, 211424, -577932, 86432, -216036, 7960, -33575, 80, -2210, -8, -51]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '17.4.d.a', 'level': 17, 'maxp': 997, 'weight': 4}
-
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{'Nk2': 272, 'analytic_conductor': 1.0030324700975903, 'char_conductor': 17, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 8, 'char_parity': 1, 'char_values': [17, 8, [3], [7]], 'conrey_index': 2, 'cusp_dim': 12, 'dim': 12, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [], 'hecke_orbit_code': 206225539089, 'hecke_orbit_dims': [12], 'label': '17.4.d', 'level': 17, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [17], 'level_radical': 17, 'mf_dim': 20, 'mf_new_dim': 20, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 3, 'sturm_bound': 6, 'trace_bound': 0, 'trace_display': [-4, -4, -20, -4], 'traces': [12, -4, -4, 0, -20, 20, -4, 28, -64, -116, 40, 56, 0, -132, 244, 184, 52, 0, -12, 572, 0, -620, -276, -184, -464, -708, -664, 452, 632, 0, 188, 700, 1400, 764, -632, 524, 940, 0, -1112, -1864, 176, 48, -1360, -1364, -32, 452, 0, -540, 1044, 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38008, 0, 118708, 58752, 95032, 94668, 158488, 88628, 174480, 0, 92964, -222868, -56288, -81504, -10524, -54740, -89376, -29576, 0, 41552, -73820, -191672, -113628, -149520, -72248, -26644, 0, -200068, -80688, -156128, -67628, 48204, -59500, 88156, -51432, 0, -134708, -42100, 102056, 64764, -68032, 13704, 164900, 0, -71044, 26932, 150824, -49800, -49884, 25100, -63952, 146252, 0, -2868], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 12665
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '17.4.d.a', 'source_level': 17, 'target_char_orbit': 4, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '17.4.d.a', 'target_level': 17, 'twist_class_label': '17.4.d.a', 'twist_class_level': 17, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 12666
{'conductor': 17, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '17.4.d.a', 'source_level': 17, 'target_char_orbit': 4, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '17.4.d.a', 'target_level': 17, 'twist_class_label': '17.4.d.a', 'twist_class_level': 17, 'twisting_char_label': '17.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 12667
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '17.4.d.a', 'source_level': 17, 'target_char_orbit': 12, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '153.4.l.a', 'target_level': 153, 'twist_class_label': '17.4.d.a', 'twist_class_level': 17, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 12668
{'conductor': 51, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '17.4.d.a', 'source_level': 17, 'target_char_orbit': 12, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '153.4.l.a', 'target_level': 153, 'twist_class_label': '17.4.d.a', 'twist_class_level': 17, 'twisting_char_label': '51.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 12669
{'conductor': 17, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '17.4.d.a', 'source_level': 17, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '289.4.a.g', 'target_level': 289, 'twist_class_label': '17.4.d.a', 'twist_class_level': 17, 'twisting_char_label': '17.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 12670
{'conductor': 17, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '17.4.d.a', 'source_level': 17, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '289.4.b.e', 'target_level': 289, 'twist_class_label': '17.4.d.a', 'twist_class_level': 17, 'twisting_char_label': '17.e', 'twisting_char_orbit': 5, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 69625
{'charpoly_factorization': [[[3136, 21952, 76832, 54040, 18817, -468, 1320, 924, 322, -20, 8, 4, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 2}
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id: 69626
{'charpoly_factorization': [[[20428832, 25158912, 13347280, 3668752, 383140, -131424, -30600, 480, 1952, 432, 40, 4, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 3}
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id: 69627
{'charpoly_factorization': [[[1004236928, -1268830592, 581033824, -102122720, 9372484, -3436000, 416800, 95240, 6752, 2312, 432, 20, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 5}
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id: 69628
{'charpoly_factorization': [[[3993906708992, 28986245632, 322489811840, 119371381504, 13869161232, 697080160, 61504232, 1979928, 126898, -3372, -514, 4, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 7}
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id: 69629
{'charpoly_factorization': [[[44422693146401312, -12833012173219776, 3865101018139440, -270652758582192, 1121390283204, 418973180704, -5794385984, -309386472, 10372872, -194168, 4148, -40, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 11}
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id: 69630
{'charpoly_factorization': [[[345463096566943744, 0, 13757633202189312, 0, 64749862328128, 0, 92380754528, 0, 50891764, 0, 11916, 0, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 13}
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id: 69631
{'charpoly_factorization': [[[14063084452067724991009, -148845998678510421236, -713129618369227464, 58262223722976100, -686979568547121, -6283105760976, 118745480624, -1278873552, -28461009, 491300, -1224, -52, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 17}
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id: 69632
{'charpoly_factorization': [[[1377635422663379239936, -82811588202619574272, 2488960078923548672, 45020367141083136, 429435620430208, -20071374470656, 1166281720064, 32076156992, 417472996, 1273912, 72, 12, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 19}
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id: 69633
{'charpoly_factorization': [[[7808689952640054468608, 843549523061425311744, 67528496942304769536, 2314409091454867712, 19817619826386960, -351448367301120, 1323536628264, -22576270776, 375151026, 317348, 17214, 276, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 23}
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id: 69634
{'charpoly_factorization': [[[734271994271489086955648, -49224514266504790261632, 2971286036343634678816, -72304015821346530560, 1213088710893758212, -22490717885494704, 345805435622280, -3040065085632, 15343596296, -53679624, 193012, -632, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 29}
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id: 69635
{'charpoly_factorization': [[[1869595734266493342884352, 86971472331948301211136, 1208877994082889044352, 338848975561291776, -20635161439976816, -2179509548247808, 16582678309752, -67151959416, 1371055426, -8544420, 22934, -188, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 31}
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id: 69636
{'charpoly_factorization': [[[1612673216572339734018810368, -49629768849489548360425472, 783657910879737465891904, -8214948749860750923744, 62657141793626151620, -381828885075054240, 2113512439672032, -10395442884984, 39918743168, -126113272, 400776, -940, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 37}
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id: 69637
{'charpoly_factorization': [[[3642771228397758416753672, 123828460554041551120880, 4354065083413410519448, 157959256112847853856, 4156395088600030756, 73912060759589216, 853503607822224, 4664499204240, 9221276290, -13519684, -88034, -176, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 41}
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id: 69638
{'charpoly_factorization': [[[652990974842370552446914816, -8203115123018666169048576, 51525289256671083667968, 1918468400697633077888, 20547690387000454800, 60208818923917824, 440488382716928, 7459124184544, 71879841752, 336958624, 924800, 1360, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 43}
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id: 69639
{'charpoly_factorization': [[[181500953621286341276294447104, 0, 22171351070236785709711360, 0, 939437952536689046528, 0, 17965228626884864, 0, 162254903504, 0, 665464, 0, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 47}
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id: 69640
{'charpoly_factorization': [[[95490926831553967914930229504, -2013216958824275838030864896, 21222134174313935307940352, -34501284527135574268544, -246280962425274567536, 1517131710564140928, 28981409538348288, 108381210798592, 206319845144, 81654144, 64800, 360, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 53}
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id: 69641
{'charpoly_factorization': [[[718012553390557827188738846976, -25269323845203556179334318080, 444657077775661419235123200, -3121309118054900386483200, 12272352862336150863760, -23711262267949241856, 18752191715796480, -1425179865824, 141167929112, -295491392, 170528, 584, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 59}
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id: 69642
{'charpoly_factorization': [[[2361627026510825199279736832, -929453141326428178688046080, 115635916506446954065655168, -2365762385379359897282496, 15874192285405656212356, -12555597941901487872, 72415694871592960, 193369051287400, 306168619648, 577313880, 1006376, 1052, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 61}
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id: 69643
{'charpoly_factorization': [[[6105561983092736, -40737978159616, 13145473040, 374543152, -567382, -540, 1], 2]], 'hecke_orbit_code': 206225539089, 'p': 67}
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id: 69644
{'charpoly_factorization': [[[32399486809358208712114178048, 1189736133817586776824057856, 17632884223285970662016256, 139937733765342693420160, 887779457524342658704, 2518120754035689952, 16206849696868664, 42188987838968, 22164116482, -100911156, -195882, -28, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 71}
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id: 69645
{'charpoly_factorization': [[[99632275134069147727955435528, -5082730379961055542985677616, 43465326518812678353705496, 1162014493122700765325568, 5786689590798380311268, 6641807692121834208, 26461140269383248, -67917404523952, 144084771746, -309731468, 588222, -824, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 73}
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id: 69646
{'charpoly_factorization': [[[930477143491955682050198669312, -18946381418293535905511659520, 110706531687476840748482304, -43867490615823336845696, 1566728866434197075344, -8729307734726191488, -23682234587611512, 88096666591176, 342511611218, 315857092, 788046, 196, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 79}
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id: 69647
{'charpoly_factorization': [[[15381068387959443545060720896, -1619355516700994811840417792, 85244803004800876287393792, -162057127935872908600576, -7594400085481201264, 7952426750517646016, 58567671913629824, 126046097512192, 135828787352, 32204848, 508032, 1008, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 83}
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id: 69648
{'charpoly_factorization': [[[223143058171320245886508901549056, 0, 12488711890736446129066658048, 0, 214045429212223013563664, 0, 1165901104701602080, 0, 2698184775320, 0, 2740280, 0, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 89}
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id: 69649
{'charpoly_factorization': [[[1655569947960983921927334575161352, 27662421797822789142882309428240, 817971924519130604445248480536, -423142654115187422452376320, -1103761849044734552443676, 1329239685033046086304, 387625952741968784, -1543639933742064, 2233774541282, 2511791524, 307166, 904, 1], 1]], 'hecke_orbit_code': 206225539089, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '17.4.d.a', 'level': 17, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 26676000
{'hecke_orbit_code': 206225539089, 'n': 1, 'trace_an': 12}
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id: 26676001
{'hecke_orbit_code': 206225539089, 'n': 2, 'trace_an': -4}
-
id: 26676002
{'hecke_orbit_code': 206225539089, 'n': 3, 'trace_an': -4}
-
id: 26676003
{'hecke_orbit_code': 206225539089, 'n': 4, 'trace_an': 0}
-
id: 26676004
{'hecke_orbit_code': 206225539089, 'n': 5, 'trace_an': -20}
-
id: 26676005
{'hecke_orbit_code': 206225539089, 'n': 6, 'trace_an': 20}
-
id: 26676006
{'hecke_orbit_code': 206225539089, 'n': 7, 'trace_an': -4}
-
id: 26676007
{'hecke_orbit_code': 206225539089, 'n': 8, 'trace_an': 28}
-
id: 26676008
{'hecke_orbit_code': 206225539089, 'n': 9, 'trace_an': -64}
-
id: 26676009
{'hecke_orbit_code': 206225539089, 'n': 10, 'trace_an': -116}
-
id: 26676010
{'hecke_orbit_code': 206225539089, 'n': 11, 'trace_an': 40}
-
id: 26676011
{'hecke_orbit_code': 206225539089, 'n': 12, 'trace_an': 56}
-
id: 26676012
{'hecke_orbit_code': 206225539089, 'n': 13, 'trace_an': 0}
-
id: 26676013
{'hecke_orbit_code': 206225539089, 'n': 14, 'trace_an': -132}
-
id: 26676014
{'hecke_orbit_code': 206225539089, 'n': 15, 'trace_an': 244}
-
id: 26676015
{'hecke_orbit_code': 206225539089, 'n': 16, 'trace_an': 184}
-
id: 26676016
{'hecke_orbit_code': 206225539089, 'n': 17, 'trace_an': 52}
-
id: 26676017
{'hecke_orbit_code': 206225539089, 'n': 18, 'trace_an': 0}
-
id: 26676018
{'hecke_orbit_code': 206225539089, 'n': 19, 'trace_an': -12}
-
id: 26676019
{'hecke_orbit_code': 206225539089, 'n': 20, 'trace_an': 572}
-
id: 26676020
{'hecke_orbit_code': 206225539089, 'n': 21, 'trace_an': 0}
-
id: 26676021
{'hecke_orbit_code': 206225539089, 'n': 22, 'trace_an': -620}
-
id: 26676022
{'hecke_orbit_code': 206225539089, 'n': 23, 'trace_an': -276}
-
id: 26676023
{'hecke_orbit_code': 206225539089, 'n': 24, 'trace_an': -184}
-
id: 26676024
{'hecke_orbit_code': 206225539089, 'n': 25, 'trace_an': -464}
-
id: 26676025
{'hecke_orbit_code': 206225539089, 'n': 26, 'trace_an': -708}
-
id: 26676026
{'hecke_orbit_code': 206225539089, 'n': 27, 'trace_an': -664}
-
id: 26676027
{'hecke_orbit_code': 206225539089, 'n': 28, 'trace_an': 452}
-
id: 26676028
{'hecke_orbit_code': 206225539089, 'n': 29, 'trace_an': 632}
-
id: 26676029
{'hecke_orbit_code': 206225539089, 'n': 30, 'trace_an': 0}
-
id: 26676030
{'hecke_orbit_code': 206225539089, 'n': 31, 'trace_an': 188}
-
id: 26676031
{'hecke_orbit_code': 206225539089, 'n': 32, 'trace_an': 700}
-
id: 26676032
{'hecke_orbit_code': 206225539089, 'n': 33, 'trace_an': 1400}
-
id: 26676033
{'hecke_orbit_code': 206225539089, 'n': 34, 'trace_an': 764}
-
id: 26676034
{'hecke_orbit_code': 206225539089, 'n': 35, 'trace_an': -632}
-
id: 26676035
{'hecke_orbit_code': 206225539089, 'n': 36, 'trace_an': 524}
-
id: 26676036
{'hecke_orbit_code': 206225539089, 'n': 37, 'trace_an': 940}
-
id: 26676037
{'hecke_orbit_code': 206225539089, 'n': 38, 'trace_an': 0}
-
id: 26676038
{'hecke_orbit_code': 206225539089, 'n': 39, 'trace_an': -1112}
-
id: 26676039
{'hecke_orbit_code': 206225539089, 'n': 40, 'trace_an': -1864}
-
id: 26676040
{'hecke_orbit_code': 206225539089, 'n': 41, 'trace_an': 176}
-
id: 26676041
{'hecke_orbit_code': 206225539089, 'n': 42, 'trace_an': 48}
-
id: 26676042
{'hecke_orbit_code': 206225539089, 'n': 43, 'trace_an': -1360}
-
id: 26676043
{'hecke_orbit_code': 206225539089, 'n': 44, 'trace_an': -1364}
-
id: 26676044
{'hecke_orbit_code': 206225539089, 'n': 45, 'trace_an': -32}
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id: 26676045
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