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mf_newforms • Show schema
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{'Nk2': 4256, 'analytic_conductor': 8.496082775064233, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1064, 3, [799, 533, 913, 1009], [3, 3, 2, 3]], 'cm_discs': [], 'conrey_index': 305, 'conrey_indexes': [305, 457], 'dim': 16, 'field_disc': 12427999469362008135781776, 'field_disc_factorization': [[2, 4], [3, 8], [757, 2], [1621, 2], [8867, 2]], 'field_poly': [256, -128, 1280, 736, 4688, 1376, 4560, 8, 3204, -62, 839, -19, 159, -2, 15, 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': [[3, [256, -128, 1280, 736, 4688, 1376, 4560, 8, 3204, -62, 839, -19, 159, -2, 15, 0, 1]], [5, [9216, -18432, 81408, 79104, 203968, 61984, 102256, 24984, 36576, 5078, 5199, 253, 516, 9, 28, -1, 1]], [11, [64, 96, 2352, -6816, 68948, -72372, 203949, 255093, 280827, 134394, 53829, 11535, 2717, 414, 87, 9, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547894700999720, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 144, 'hecke_ring_index_factorization': [[2, 4], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1064.2.q.n', 'level': 1064, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 19], 'level_radical': 266, 'minimal_twist': '1064.2.q.n', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{3}+\\beta _{10}q^{5}+\\beta _{11}q^{7}+(-\\beta _{2}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 4256, 'analytic_conductor': 8.496082775064233, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1064, 3, [799, 533, 913, 1009], [3, 3, 2, 3]], 'conrey_index': 305, 'cusp_dim': 304, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 1099545183272, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 16, 22], 'label': '1064.2.q', 'level': 1064, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 19], 'level_radical': 266, 'mf_dim': 336, 'mf_new_dim': 72, 'num_forms': 15, 'prim_orbit_index': 3, 'relative_dim': 36, 'sturm_bound': 320, 'trace_bound': 7, 'trace_display': [0, 0, -4, -4], 'traces': [72, 0, 0, 0, -4, 0, -4, 0, -32, 0, 0, 0, 0, 0, -8, 0, -8, 0, 6, 0, 12, 0, -6, 0, -48, 0, -24, 0, 24, 0, 4, 0, -4, 0, 12, 0, 0, 0, 30, 0, -8, 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mf_twists_cc • Show schema
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id: 47756334
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 457, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58547894700999720, 'source_is_minimal': True, 'source_label': '1064.2.q.n.457.3', 'source_level': 1064, 'target_conrey_index': 457, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58547894700999720, 'target_is_minimal': True, 'target_label': '1064.2.q.n.457.3', 'target_level': 1064, 'twist_class_label': '1064.2.q.n.305.3', 'twist_class_level': 1064, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47756335
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 457, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58547894700999720, 'source_is_minimal': True, 'source_label': '1064.2.q.n.457.3', 'source_level': 1064, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 189151184383122712, 'target_is_minimal': False, 'target_label': '7448.2.a.bq.1.6', 'target_level': 7448, 'twist_class_label': '1064.2.q.n.305.3', 'twist_class_level': 1064, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47756336
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 457, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58547894700999720, 'source_is_minimal': True, 'source_label': '1064.2.q.n.457.3', 'source_level': 1064, 'target_conrey_index': 305, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58547894700999720, 'target_is_minimal': True, 'target_label': '1064.2.q.n.305.3', 'target_level': 1064, 'twist_class_label': '1064.2.q.n.305.3', 'twist_class_level': 1064, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47756337
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 457, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 58547894700999720, 'source_is_minimal': True, 'source_label': '1064.2.q.n.457.3', 'source_level': 1064, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010493208, 'target_is_minimal': False, 'target_label': '7448.2.a.br.1.3', 'target_level': 7448, 'twist_class_label': '1064.2.q.n.305.3', 'twist_class_level': 1064, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1647800
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 58547894700999720, 'p': 2}
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id: 1647801
{'charpoly_factorization': [[[256, -128, 1280, 736, 4688, 1376, 4560, 8, 3204, -62, 839, -19, 159, -2, 15, 0, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 3}
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id: 1647802
{'charpoly_factorization': [[[9216, -18432, 81408, 79104, 203968, 61984, 102256, 24984, 36576, 5078, 5199, 253, 516, 9, 28, -1, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 5}
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id: 1647803
{'charpoly_factorization': [[[5764801, -4117715, 2235331, -420175, 43218, 67914, -13720, 5460, 1213, 780, -280, 198, 18, -25, 19, -5, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 7}
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id: 1647804
{'charpoly_factorization': [[[64, 96, 2352, -6816, 68948, -72372, 203949, 255093, 280827, 134394, 53829, 11535, 2717, 414, 87, 9, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 11}
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id: 1647805
{'charpoly_factorization': [[[-16, -488, -516, 200, 310, 1, -41, 0, 1], 2]], 'hecke_orbit_code': 58547894700999720, 'p': 13}
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id: 1647806
{'charpoly_factorization': [[[606735424, 1208445920, 2065336288, 1009989912, 567942608, 102851294, 60998967, 8515393, 4188508, 380573, 180015, 14023, 5327, 270, 94, 4, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 17}
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id: 1647807
{'charpoly_factorization': [[[1, 1, 1], 8]], 'hecke_orbit_code': 58547894700999720, 'p': 19}
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id: 1647808
{'charpoly_factorization': [[[77986561, 75416740, 130960101, 36414878, 85676027, 37522851, 25970073, 11911293, 6398682, 2457595, 768631, 174879, 31137, 4041, 396, 25, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 23}
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id: 1647809
{'charpoly_factorization': [[[6672, 3024, -19204, -420, 3630, 329, -105, -6, 1], 2]], 'hecke_orbit_code': 58547894700999720, 'p': 29}
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id: 1647810
{'charpoly_factorization': [[[87310336, -27508736, 100761600, 36192256, 77845504, 16314880, 17780224, 1834496, 2828736, 145760, 188144, -11984, 8056, -232, 100, 0, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 31}
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id: 1647811
{'charpoly_factorization': [[[287296000000, 45246976000, 76066381056, 30139982080, 18607317904, 5418952176, 1700873504, 333436136, 76346496, 11907200, 2181449, 238629, 31114, 2077, 258, 13, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 37}
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id: 1647812
{'charpoly_factorization': [[[2, 1], 16]], 'hecke_orbit_code': 58547894700999720, 'p': 41}
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id: 1647813
{'charpoly_factorization': [[[-51712, -8256, 33288, -2180, -4964, 1081, 11, -17, 1], 2]], 'hecke_orbit_code': 58547894700999720, 'p': 43}
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id: 1647814
{'charpoly_factorization': [[[173633329, -1241642356, 7571546752, -10665360256, 14929688586, -417792676, 5682087856, -2139405144, 653744491, -105661260, 14332496, -1274112, 113786, -7448, 560, -24, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 47}
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id: 1647815
{'charpoly_factorization': [[[3340823595264, 4807253805696, 5839660168704, 1887124703904, 636694665552, 82524224880, 22668604824, 2221348128, 551185828, 30434884, 6834509, 218893, 62851, 968, 299, 2, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 53}
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id: 1647816
{'charpoly_factorization': [[[907401035776, 279767760896, 659433750528, -141566542848, 341938046976, -4792838976, 15925395632, -770663144, 529005816, -16542422, 7195415, -77487, 70221, -312, 315, 2, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 59}
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id: 1647817
{'charpoly_factorization': [[[15605006400, 125309250720, 993377947536, 132296551536, 126420510964, -21590511816, 10586578105, -1214429725, 285006963, -25483470, 4907845, -355539, 50305, -2606, 327, -13, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 61}
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id: 1647818
{'charpoly_factorization': [[[220463104, 58916864, 153059328, -16384000, 62404096, -8507520, 14368400, -2766032, 2213844, -248132, 132053, -1917, 5287, -28, 87, 2, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 67}
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id: 1647819
{'charpoly_factorization': [[[-712576, 651456, 99968, -147712, 12656, 2476, -240, -10, 1], 2]], 'hecke_orbit_code': 58547894700999720, 'p': 71}
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id: 1647820
{'charpoly_factorization': [[[80020528641, 201916201410, 392949733221, 333665452260, 227204065171, 9627477119, 14766096571, 633170743, 678214162, -556465, 11540849, 445337, 109849, 1807, 382, 5, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 73}
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id: 1647821
{'charpoly_factorization': [[[4275962265600, 4808373166080, 5357447737344, 792686407680, 437752829952, 54180002304, 25006518528, 2285005056, 651124096, 38053504, 11120720, 573264, 91808, 3288, 476, 16, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 79}
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id: 1647822
{'charpoly_factorization': [[[95768, 192580, -42608, -86413, -9059, 2854, 626, 43, 1], 2]], 'hecke_orbit_code': 58547894700999720, 'p': 83}
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id: 1647823
{'charpoly_factorization': [[[262799769600, -381601013760, 397297115136, -222612744192, 98733743104, -26523368960, 6626135296, -973843200, 237230592, -23344960, 5881680, 99136, 63648, 696, 328, 8, 1], 1]], 'hecke_orbit_code': 58547894700999720, 'p': 89}
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id: 1647824
{'charpoly_factorization': [[[580864, -820352, 135104, 117344, 4944, -2336, -168, 12, 1], 2]], 'hecke_orbit_code': 58547894700999720, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 14, 'label': '1064.2.q.n', 'level': 1064, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 229964000
{'hecke_orbit_code': 58547894700999720, 'n': 1, 'trace_an': 16}
-
id: 229964001
{'hecke_orbit_code': 58547894700999720, 'n': 2, 'trace_an': 0}
-
id: 229964002
{'hecke_orbit_code': 58547894700999720, 'n': 3, 'trace_an': 0}
-
id: 229964003
{'hecke_orbit_code': 58547894700999720, 'n': 4, 'trace_an': 0}
-
id: 229964004
{'hecke_orbit_code': 58547894700999720, 'n': 5, 'trace_an': 1}
-
id: 229964005
{'hecke_orbit_code': 58547894700999720, 'n': 6, 'trace_an': 0}
-
id: 229964006
{'hecke_orbit_code': 58547894700999720, 'n': 7, 'trace_an': 5}
-
id: 229964007
{'hecke_orbit_code': 58547894700999720, 'n': 8, 'trace_an': 0}
-
id: 229964008
{'hecke_orbit_code': 58547894700999720, 'n': 9, 'trace_an': -6}
-
id: 229964009
{'hecke_orbit_code': 58547894700999720, 'n': 10, 'trace_an': 0}
-
id: 229964010
{'hecke_orbit_code': 58547894700999720, 'n': 11, 'trace_an': -9}
-
id: 229964011
{'hecke_orbit_code': 58547894700999720, 'n': 12, 'trace_an': 0}
-
id: 229964012
{'hecke_orbit_code': 58547894700999720, 'n': 13, 'trace_an': 0}
-
id: 229964013
{'hecke_orbit_code': 58547894700999720, 'n': 14, 'trace_an': 0}
-
id: 229964014
{'hecke_orbit_code': 58547894700999720, 'n': 15, 'trace_an': 16}
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id: 229964015
{'hecke_orbit_code': 58547894700999720, 'n': 16, 'trace_an': 0}
-
id: 229964016
{'hecke_orbit_code': 58547894700999720, 'n': 17, 'trace_an': -4}
-
id: 229964017
{'hecke_orbit_code': 58547894700999720, 'n': 18, 'trace_an': 0}
-
id: 229964018
{'hecke_orbit_code': 58547894700999720, 'n': 19, 'trace_an': -8}
-
id: 229964019
{'hecke_orbit_code': 58547894700999720, 'n': 20, 'trace_an': 0}
-
id: 229964020
{'hecke_orbit_code': 58547894700999720, 'n': 21, 'trace_an': -2}
-
id: 229964021
{'hecke_orbit_code': 58547894700999720, 'n': 22, 'trace_an': 0}
-
id: 229964022
{'hecke_orbit_code': 58547894700999720, 'n': 23, 'trace_an': -25}
-
id: 229964023
{'hecke_orbit_code': 58547894700999720, 'n': 24, 'trace_an': 0}
-
id: 229964024
{'hecke_orbit_code': 58547894700999720, 'n': 25, 'trace_an': -15}
-
id: 229964025
{'hecke_orbit_code': 58547894700999720, 'n': 26, 'trace_an': 0}
-
id: 229964026
{'hecke_orbit_code': 58547894700999720, 'n': 27, 'trace_an': 6}
-
id: 229964027
{'hecke_orbit_code': 58547894700999720, 'n': 28, 'trace_an': 0}
-
id: 229964028
{'hecke_orbit_code': 58547894700999720, 'n': 29, 'trace_an': 12}
-
id: 229964029
{'hecke_orbit_code': 58547894700999720, 'n': 30, 'trace_an': 0}
-
id: 229964030
{'hecke_orbit_code': 58547894700999720, 'n': 31, 'trace_an': 0}
-
id: 229964031
{'hecke_orbit_code': 58547894700999720, 'n': 32, 'trace_an': 0}
-
id: 229964032
{'hecke_orbit_code': 58547894700999720, 'n': 33, 'trace_an': -8}
-
id: 229964033
{'hecke_orbit_code': 58547894700999720, 'n': 34, 'trace_an': 0}
-
id: 229964034
{'hecke_orbit_code': 58547894700999720, 'n': 35, 'trace_an': 5}
-
id: 229964035
{'hecke_orbit_code': 58547894700999720, 'n': 36, 'trace_an': 0}
-
id: 229964036
{'hecke_orbit_code': 58547894700999720, 'n': 37, 'trace_an': -13}
-
id: 229964037
{'hecke_orbit_code': 58547894700999720, 'n': 38, 'trace_an': 0}
-
id: 229964038
{'hecke_orbit_code': 58547894700999720, 'n': 39, 'trace_an': 11}
-
id: 229964039
{'hecke_orbit_code': 58547894700999720, 'n': 40, 'trace_an': 0}
-
id: 229964040
{'hecke_orbit_code': 58547894700999720, 'n': 41, 'trace_an': -32}
-
id: 229964041
{'hecke_orbit_code': 58547894700999720, 'n': 42, 'trace_an': 0}
-
id: 229964042
{'hecke_orbit_code': 58547894700999720, 'n': 43, 'trace_an': 34}
-
id: 229964043
{'hecke_orbit_code': 58547894700999720, 'n': 44, 'trace_an': 0}
-
id: 229964044
{'hecke_orbit_code': 58547894700999720, 'n': 45, 'trace_an': -17}
-
id: 229964045
{'hecke_orbit_code': 58547894700999720, 'n': 46, 'trace_an': 0}
-
id: 229964046
{'hecke_orbit_code': 58547894700999720, 'n': 47, 'trace_an': 24}
-
id: 229964047
{'hecke_orbit_code': 58547894700999720, 'n': 48, 'trace_an': 0}
-
id: 229964048
{'hecke_orbit_code': 58547894700999720, 'n': 49, 'trace_an': -13}
-
id: 229964049
{'hecke_orbit_code': 58547894700999720, 'n': 50, 'trace_an': 0}
-
id: 229964050
{'hecke_orbit_code': 58547894700999720, 'n': 51, 'trace_an': -5}
-
id: 229964051
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