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mf_newforms • Show schema
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{'Nk2': 792, 'analytic_conductor': 3.528444035885574, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, -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': [22, 1, [13], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], '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, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [21, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 100663318, 'hecke_ring_generator_nbound': 1, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '22.6.a.a', 'level': 22, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11], 'level_radical': 22, 'minimal_twist': '22.6.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-4q^{2}-21q^{3}+2^{4}q^{4}+3^{4}q^{5}+84q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '22.6.a', 'trace_display': [-4, -21, 81, 98], 'trace_hash': 1216850299615448254, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.152', 'prec': 17}], 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mf_hecke_nf • Show schema
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{'an': [[1], [-4], [-21], [16], [81], [84], [98], [-64], [198], [-324], [121], [-336], [824], [-392], [-1701], [256], [978], [-792], [-2140], [1296], [-2058], [-484], [3699], [1344], [3436], [-3296], [945], [1568], [3480], [6804], [-7813], [-1024], [-2541], [-3912], [7938], [3168], [-13597], [8560], [-17304], [-5184], [6492], [8232], [14234], [1936], [16038], [-14796], [-20352], [-5376], [-7203], [-13744], [-20538], [13184], [-366], [-3780], [9801], [-6272], [44940], [-13920], [9825], [-27216], [26132], [31252], [19404], [4096], [66744], [10164], [17093], [15648], [-77679], [-31752], [-23583], [-12672], [-35176], [54388], [-72156], [-34240], [11858], [69216], [-42490], [20736], [-67959], [-25968], [22674], [-32928], [79218], [-56936], [-73080], [-7744], [-17145], [-64152], [80752], [59184], [164073], [81408], [-173340], [21504], [-30727], [28812], [23958], [54976]], 'ap': [[-4], [-21], [81], [98], [121], [824], [978], [-2140], [3699], [3480], [-7813], [-13597], [6492], [14234], [-20352], [-366], [9825], [26132], [17093], [-23583], [-35176], [-42490], [22674], [-17145], [-30727], [138102], [11864], [16998], [-221830], [-196671], [120548], [68442], [-373647], [-60610], [-438030], [-239398], [62153], [298724], [82728], [135834], [112725], [593807], [652557], [402164], [-268482], [-581200], [-183988], [631679], [1398], [206135], [640704], [128250], [-1697488], [-325323], [1649478], [-1376526], [75450], [-360568], [-418522], [-794298], [1807964], [-875436], [137468], [1226292], [-3136921], [-1691187], [-2139013], [553598], [167208], [469490], [2821539], [1956960], [-2285917], [583274], [2836295], [-3522021], [-1813575], [3420758], [398442], [1409570], [-1866180], [2077742], [-6284358], [3265589], [-2645680], [-5635311], [-370005], [3318908], [8770212], [224249], [-2555727], [5366640], [-8175277], [3780072], [3981860], [10456854], [-6055065], [10505277], [6494924], [5663492], [-13360912], [-10094742], [5586924], [2208840], [-10532428], [1843193], [11695908], [5812524], [7856040], [10942862], [185018], [17744864], [15391218], [-17550205], [-5646133], [-4463073], [-3240991], [10188453], [-4667601], [1291770], [-11565763], [14770574], [-3090222], [14739384], [2362757], [-17888778], [12273455], [-7352325], [-3167617], [857924], [-19355110], [-28030476], [25701437], [-11722342], [5777832], [-20498920], [15029754], [20532488], [-1762467], [20028900], [-25540918], [-6731658], [14488019], [-4158792], [10252505], [30770535], [41923214], [-18768552], [-39551995], [15056904], [15859088], [-22914243], [10607324], [22852698], [-32194732], [20225412], [-23001910], [-16491270], [-49940212], [4210002], [27606633], [16929654], [1087928], [7153347], [-7885347], [7588419], [8809352], [35383298]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 100663318, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '22.6.a.a', 'level': 22, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [11, 1]], 1, 1], [[[2, -1], [11, -1]], 1, 1], [[[2, 1], [11, -1]], 1, 1], [[[2, -1], [11, 1]], 2, 1]], 'ALdims': [1, 1, 2, 1], 'Nk2': 792, 'analytic_conductor': 3.528444035885574, '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': [22, 1, [13], [1]], 'conrey_index': 1, 'cusp_dim': 13, 'dim': 5, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 100663318, 'hecke_orbit_dims': [1, 1, 1, 2], 'label': '22.6.a', 'level': 22, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11], 'level_radical': 22, 'mf_dim': 17, 'mf_new_dim': 5, 'num_forms': 4, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 5, 'sturm_bound': 18, 'trace_bound': 3, 'trace_display': [4, -20, -14, -312], 'traces': [5, 4, -20, 80, -14, 80, -312, 64, 885, -296, -121, -320, 982, -704, 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mf_twists_nf • Show schema
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id: 17483
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.6.a.a', 'source_level': 22, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '22.6.a.a', 'target_level': 22, 'twist_class_label': '22.6.a.a', 'twist_class_level': 22, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 17484
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.6.a.a', 'source_level': 22, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '176.6.a.d', 'target_level': 176, 'twist_class_label': '22.6.a.a', 'twist_class_level': 22, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 17485
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.6.a.a', 'source_level': 22, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '198.6.a.d', 'target_level': 198, 'twist_class_label': '22.6.a.a', 'twist_class_level': 22, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 17486
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.6.a.a', 'source_level': 22, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '242.6.a.c', 'target_level': 242, 'twist_class_label': '22.6.a.a', 'twist_class_level': 22, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 17487
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.6.a.a', 'source_level': 22, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '550.6.a.g', 'target_level': 550, 'twist_class_label': '22.6.a.a', 'twist_class_level': 22, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 17488
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.6.a.a', 'source_level': 22, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '550.6.b.g', 'target_level': 550, 'twist_class_label': '22.6.a.a', 'twist_class_level': 22, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 17489
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.6.a.a', 'source_level': 22, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '704.6.a.b', 'target_level': 704, 'twist_class_label': '22.6.a.a', 'twist_class_level': 22, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 17490
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.6.a.a', 'source_level': 22, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '704.6.a.i', 'target_level': 704, 'twist_class_label': '22.6.a.a', 'twist_class_level': 22, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 17491
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '22.6.a.a', 'source_level': 22, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1078.6.a.b', 'target_level': 1078, 'twist_class_label': '22.6.a.a', 'twist_class_level': 22, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 86200
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 2}
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id: 86201
{'charpoly_factorization': [[[21, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 3}
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id: 86202
{'charpoly_factorization': [[[-81, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 5}
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id: 86203
{'charpoly_factorization': [[[-98, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 7}
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id: 86204
{'charpoly_factorization': [[[-121, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 11}
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id: 86205
{'charpoly_factorization': [[[-824, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 13}
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id: 86206
{'charpoly_factorization': [[[-978, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 17}
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id: 86207
{'charpoly_factorization': [[[2140, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 19}
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id: 86208
{'charpoly_factorization': [[[-3699, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 23}
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id: 86209
{'charpoly_factorization': [[[-3480, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 29}
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id: 86210
{'charpoly_factorization': [[[7813, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 31}
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id: 86211
{'charpoly_factorization': [[[13597, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 37}
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id: 86212
{'charpoly_factorization': [[[-6492, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 41}
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id: 86213
{'charpoly_factorization': [[[-14234, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 43}
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id: 86214
{'charpoly_factorization': [[[20352, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 47}
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id: 86215
{'charpoly_factorization': [[[366, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 53}
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id: 86216
{'charpoly_factorization': [[[-9825, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 59}
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id: 86217
{'charpoly_factorization': [[[-26132, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 61}
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id: 86218
{'charpoly_factorization': [[[-17093, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 67}
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id: 86219
{'charpoly_factorization': [[[23583, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 71}
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id: 86220
{'charpoly_factorization': [[[35176, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 73}
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id: 86221
{'charpoly_factorization': [[[42490, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 79}
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id: 86222
{'charpoly_factorization': [[[-22674, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 83}
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id: 86223
{'charpoly_factorization': [[[17145, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 89}
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id: 86224
{'charpoly_factorization': [[[30727, 1], 1]], 'hecke_orbit_code': 100663318, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '22.6.a.a', 'level': 22, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
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id: 12496000
{'hecke_orbit_code': 100663318, 'n': 1, 'trace_an': 1}
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id: 12496001
{'hecke_orbit_code': 100663318, 'n': 2, 'trace_an': -4}
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id: 12496002
{'hecke_orbit_code': 100663318, 'n': 3, 'trace_an': -21}
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id: 12496003
{'hecke_orbit_code': 100663318, 'n': 4, 'trace_an': 16}
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id: 12496004
{'hecke_orbit_code': 100663318, 'n': 5, 'trace_an': 81}
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id: 12496005
{'hecke_orbit_code': 100663318, 'n': 6, 'trace_an': 84}
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id: 12496006
{'hecke_orbit_code': 100663318, 'n': 7, 'trace_an': 98}
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id: 12496007
{'hecke_orbit_code': 100663318, 'n': 8, 'trace_an': -64}
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id: 12496008
{'hecke_orbit_code': 100663318, 'n': 9, 'trace_an': 198}
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id: 12496009
{'hecke_orbit_code': 100663318, 'n': 10, 'trace_an': -324}
-
id: 12496010
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