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{'Nk2': 16044, 'analytic_conductor': 32.02799625073556, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, -1], [191, -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': [4011, 1, [2675, 2866, 2311], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 19, 'field_disc': 1454203585457195838346263133643955381, 'field_disc_factorization': [[3, 3], [1139321, 1], [47273237352748010644100111143, 1]], 'field_poly': [18, 45, -384, -342, 2354, 649, -6025, -87, 7819, -951, -5631, 1149, 2313, -597, -531, 156, 63, -20, -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, [18, 45, -384, -342, 2354, 649, -6025, -87, 7819, -951, -5631, 1149, 2313, -597, -531, 156, 63, -20, -3, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052522411, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4011.2.a.i', 'level': 4011, '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': True, 'level_primes': [3, 7, 191], 'level_radical': 4011, 'minimal_twist': '4011.2.a.i', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+(-1-\\beta _{8}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 19, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': 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'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.3890081257177522, 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052522411, 'label': '4011.2.a.i.1.1', 'level': 4011, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [19, 29, 29, 19, 29, 19, 19, 28], 'Nk2': 16044, 'analytic_conductor': 32.02799625073556, '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': [4011, 1, [2675, 2866, 2311], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 509, 'dim': 191, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33558443, 'hecke_orbit_dims': [1, 1, 1, 1, 3, 18, 18, 19, 19, 26, 27, 28, 29], 'label': '4011.2.a', 'level': 4011, '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': True, 'level_primes': [3, 7, 191], 'level_radical': 4011, 'mf_dim': 516, 'mf_new_dim': 191, 'num_forms': 13, 'plus_dim': 76, 'prim_orbit_index': 1, 'relative_dim': 191, 'sturm_bound': 1024, 'trace_bound': 2, 'trace_display': [1, -1, 10, -1], 'traces': [191, 1, -1, 197, 10, 5, -1, -3, 191, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 19, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052522411, 'source_is_minimal': True, 'source_label': '4011.2.a.i.1.1', 'source_level': 4011, 'target_conrey_index': 1, 'target_dim': 19, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052522411, 'target_is_minimal': True, 'target_label': '4011.2.a.i.1.1', 'target_level': 4011, 'twist_class_label': '4011.2.a.i.1.1', 'twist_class_level': 4011, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3470750
{'charpoly_factorization': [[[18, 45, -384, -342, 2354, 649, -6025, -87, 7819, -951, -5631, 1149, 2313, -597, -531, 156, 63, -20, -3, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 2}
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id: 3470751
{'charpoly_factorization': [[[1, 1], 19]], 'hecke_orbit_code': 36028797052522411, 'p': 3}
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id: 3470752
{'charpoly_factorization': [[[10776, 31569, -177552, -229737, 439933, 463271, -438367, -442530, 207813, 232704, -43141, -70128, 100, 11828, 1525, -988, -242, 23, 12, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 5}
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id: 3470753
{'charpoly_factorization': [[[-1, 1], 19]], 'hecke_orbit_code': 36028797052522411, 'p': 7}
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id: 3470754
{'charpoly_factorization': [[[-18239400, -12516480, 68113524, 63475671, -61511128, -68465266, 22590751, 31645663, -3698145, -7616337, 219401, 1042906, 8269, -84051, -1643, 3930, 71, -98, -1, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 11}
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id: 3470755
{'charpoly_factorization': [[[-2099374, 65087847, 66891364, -169967640, -251034242, 11255807, 167629937, 68838034, -27551433, -26031163, -3223933, 2587268, 986523, 31657, -47840, -9556, -27, 201, 25, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 13}
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id: 3470756
{'charpoly_factorization': [[[-63387976, 46955888, 401201548, -237178301, -553313395, 184876370, 320734437, -41317883, -86978746, 1879162, 12488864, 471029, -1002147, -72486, 44643, 4139, -1016, -106, 9, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 17}
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id: 3470757
{'charpoly_factorization': [[[-36345900, 105078456, 67307415, -425355222, 207414737, 406150480, -371311250, -63143595, 127713775, 3274184, -21719513, -1106917, 2040336, 279143, -79535, -21558, -818, 236, 29, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 19}
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id: 3470758
{'charpoly_factorization': [[[268077800, -723954177, -891895271, 3058431544, -340191688, -2883108221, 1408811413, 677412021, -646767742, 82955782, 57089424, -19167627, -156951, 876614, -99055, -10994, 2560, -39, -18, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 23}
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id: 3470759
{'charpoly_factorization': [[[-13509026365, 98606372312, -163348721779, 16046956861, 111742392857, -31648480460, -24547289338, 7797032033, 2478913631, -827657594, -133708076, 46688283, 4062111, -1496717, -68737, 27188, 594, -259, -2, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 29}
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id: 3470760
{'charpoly_factorization': [[[906276, 14570868, 76837293, 123530520, -132565667, -500476238, -173355204, 444792518, 342037825, -25571785, -73515914, -11979479, 4130806, 1363723, 38526, -28590, -3307, 44, 24, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 31}
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id: 3470761
{'charpoly_factorization': [[[-6764609296, 4992980922, 34722639433, 9714691079, -31855337611, -20656371823, 5102628750, 7760335606, 1481648164, -678751687, -330721669, -29564435, 9919613, 2498174, 76271, -35282, -3938, 29, 24, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 37}
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id: 3470762
{'charpoly_factorization': [[[-13316261870592, 15520265542143, 11217013579431, -6500270345760, -3314602124069, 995476219474, 469671591770, -68891208928, -35593197763, 2111183205, 1533036993, -11620476, -38617554, -958125, 561973, 25952, -4367, -266, 14, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 41}
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id: 3470763
{'charpoly_factorization': [[[-118049304, -1428104304, 3153643548, 18907241247, 16139835125, -9293153742, -15402573120, -2218369722, 3394716962, 1288370610, -113606836, -125137618, -14733648, 2179786, 506937, 979, -5222, -216, 17, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 43}
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id: 3470764
{'charpoly_factorization': [[[137715328523636, 16064670854950, -102933453497463, 2131594110672, 22269238191627, -1591026800492, -2220281592239, 215123792430, 120002432742, -13397085578, -3734557588, 451939798, 67315989, -8586293, -677353, 89934, 3472, -478, -7, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 47}
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id: 3470765
{'charpoly_factorization': [[[-5216358741, 85341846591, 1487761598001, 2882381782929, 1002931430848, -932739016304, -412208780421, 139848198998, 45733168443, -11238905657, -1975373522, 439340075, 40296323, -8758254, -415435, 91789, 2082, -482, -4, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 53}
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id: 3470766
{'charpoly_factorization': [[[8392841232736, 25087917744204, 27202379531329, 11098656712240, -1390616349454, -2694852448076, -673220232889, 102823943534, 75445870106, 8024923283, -2118981809, -567017121, -13125640, 9263468, 913404, -35116, -8597, -187, 23, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 59}
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id: 3470767
{'charpoly_factorization': [[[15146376289072, 15319278323933, -20996069161900, -5159683942961, 6554424208503, 846524833881, -899874976502, -105677812446, 64923338943, 9194237175, -2438047991, -465681255, 36253180, 11843918, 209894, -116490, -7962, 233, 38, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 61}
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id: 3470768
{'charpoly_factorization': [[[470556971400, 8492841759315, -11083528522017, -5805968020239, 4966935725569, 2195129730960, -580582792114, -335768287202, 5704376631, 19709590592, 1552775350, -487473323, -68898174, 4513927, 1130024, 4053, -7976, -271, 20, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 67}
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id: 3470769
{'charpoly_factorization': [[[28434375813960, -59083321709628, -16386284083002, 32368133105355, 7362940990436, -5818772229196, -1339493097813, 485356886427, 110632625589, -21962209387, -4618822100, 596216522, 102116903, -10015556, -1174951, 97997, 6577, -498, -14, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 71}
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id: 3470770
{'charpoly_factorization': [[[33316897032988, 25169638822461, -25986825859001, -19991510834322, 5376775968046, 5157707604590, -188047485442, -567823271283, -38832509666, 28804584994, 3808454292, -633085125, -124940239, 4209779, 1745414, 31214, -9964, -406, 19, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 73}
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id: 3470771
{'charpoly_factorization': [[[855546240358, 3957568179035, 3890541895436, -3224431490640, -3648823850260, 986132643786, 1081764743799, -135367537720, -134187170838, 8193769774, 7339690041, -87069579, -186350781, -4275601, 2148715, 95313, -10086, -561, 16, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 79}
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id: 3470772
{'charpoly_factorization': [[[613790160470608, 30470636277820, -686682758715410, 274714458990961, 62815507895199, -41876847939483, -1073782145573, 2605858265646, -81917148981, -86908437839, 4502141203, 1709296559, -95591582, -20461345, 1022031, 147137, -5387, -588, 11, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 83}
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id: 3470773
{'charpoly_factorization': [[[104757107912, 2130769429198, 10428245345525, 18647908161691, 9052929506090, -8392876901550, -10083825155829, -3084649068012, 13996762551, 160144018452, 19324005382, -2054193157, -465154496, 229921, 3972584, 120538, -14427, -642, 19, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 89}
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id: 3470774
{'charpoly_factorization': [[[-4514400950240458, -13923089771129203, -9655732682953588, 3642562473808926, 3062232691150121, -213862624632664, -271153501510384, -9604289766641, 9155186379892, 808482680523, -128849922891, -17929534736, 538264157, 166001875, 3298805, -610383, -30390, 455, 57, 1], 1]], 'hecke_orbit_code': 36028797052522411, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '4011.2.a.i', 'level': 4011, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50740837
{'hecke_orbit_code': 36028797052522411, 'n': 1, 'trace_an': 19}
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id: 50740838
{'hecke_orbit_code': 36028797052522411, 'n': 2, 'trace_an': 3}
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id: 50740839
{'hecke_orbit_code': 36028797052522411, 'n': 3, 'trace_an': -19}
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id: 50740840
{'hecke_orbit_code': 36028797052522411, 'n': 4, 'trace_an': 11}
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id: 50740841
{'hecke_orbit_code': 36028797052522411, 'n': 5, 'trace_an': -12}
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id: 50740842
{'hecke_orbit_code': 36028797052522411, 'n': 6, 'trace_an': -3}
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id: 50740843
{'hecke_orbit_code': 36028797052522411, 'n': 7, 'trace_an': 19}
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id: 50740844
{'hecke_orbit_code': 36028797052522411, 'n': 8, 'trace_an': 6}
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id: 50740845
{'hecke_orbit_code': 36028797052522411, 'n': 9, 'trace_an': 19}
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id: 50740846
{'hecke_orbit_code': 36028797052522411, 'n': 10, 'trace_an': -12}
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id: 50740847
{'hecke_orbit_code': 36028797052522411, 'n': 11, 'trace_an': 1}
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id: 50740848
{'hecke_orbit_code': 36028797052522411, 'n': 12, 'trace_an': -11}
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id: 50740849
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