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{'Nk2': 8036, 'analytic_conductor': 16.04194576607523, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, 1], [41, -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': [2009, 1, [493, 785], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 17, 'field_disc': 118553475631403462625726443336438784, 'field_disc_factorization': [[2, 10], [3, 3], [11, 1], [37, 1], [59, 1], [907, 1], [4337, 1], [45394939312301792449, 1]], 'field_poly': [-464, -312, 5775, 299, -16136, 2029, 19567, -4259, -12183, 3251, 4173, -1231, -790, 247, 77, -25, -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, [-464, -312, 5775, 299, -16136, 2029, 19567, -4259, -12183, 3251, 4173, -1231, -790, 247, 77, -25, -3, 1]], [3, [-127, 265, 4959, -3186, -32237, 24596, 40386, -32352, -20338, 16946, 4973, -4316, -631, 572, 40, -38, -1, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326225369, 'hecke_ring_generator_nbound': 3, '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': False, 'label': '2009.2.a.s', 'level': 2009, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 41], 'level_radical': 287, 'minimal_twist': '287.2.e.d', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{12}q^{3}+(1+\\beta _{2})q^{4}-\\beta _{13}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 17, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[7, -1], [41, -1]], 29, 8], [[[7, -1], [41, 1]], 41, 7], [[[7, 1], [41, -1]], 37, 2], [[[7, 1], [41, 1]], 29, 4]], 'ALdims': [29, 37, 41, 29], 'Nk2': 8036, 'analytic_conductor': 16.04194576607523, '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': [2009, 1, [493, 785], [1, 1]], 'conrey_index': 1, 'cusp_dim': 189, 'dim': 136, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33556441, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 5, 6, 7, 7, 17, 17, 20, 20], 'label': '2009.2.a', 'level': 2009, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 41], 'level_radical': 287, 'mf_dim': 204, 'mf_new_dim': 136, 'num_forms': 21, 'plus_dim': 58, 'prim_orbit_index': 1, 'relative_dim': 136, 'sturm_bound': 392, 'trace_bound': 3, 'trace_display': [-2, 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mf_twists_cc • Show schema
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id: 48173041
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225369, 'source_is_minimal': False, 'source_label': '2009.2.a.s.1.7', 'source_level': 2009, 'target_conrey_index': 1, 'target_dim': 17, 'target_embedding_index': 7, 'target_hecke_orbit_code': 81064793326225369, 'target_is_minimal': False, 'target_label': '2009.2.a.s.1.7', 'target_level': 2009, 'twist_class_label': '287.2.e.d.165.11', 'twist_class_level': 287, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48173042
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225369, 'source_is_minimal': False, 'source_label': '2009.2.a.s.1.7', 'source_level': 2009, 'target_conrey_index': 165, 'target_dim': 34, 'target_embedding_index': 11, 'target_hecke_orbit_code': 13511073793573151, 'target_is_minimal': True, 'target_label': '287.2.e.d.165.11', 'target_level': 287, 'twist_class_label': '287.2.e.d.165.11', 'twist_class_level': 287, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48173043
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225369, 'source_is_minimal': False, 'source_label': '2009.2.a.s.1.7', 'source_level': 2009, 'target_conrey_index': 247, 'target_dim': 34, 'target_embedding_index': 11, 'target_hecke_orbit_code': 13511073793573151, 'target_is_minimal': True, 'target_label': '287.2.e.d.247.11', 'target_level': 287, 'twist_class_label': '287.2.e.d.165.11', 'twist_class_level': 287, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48173044
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225369, 'source_is_minimal': False, 'source_label': '2009.2.a.s.1.7', 'source_level': 2009, 'target_conrey_index': 1, 'target_dim': 17, 'target_embedding_index': 7, 'target_hecke_orbit_code': 76561193698854873, 'target_is_minimal': False, 'target_label': '2009.2.a.r.1.7', 'target_level': 2009, 'twist_class_label': '287.2.e.d.165.11', 'twist_class_level': 287, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2362200
{'charpoly_factorization': [[[-464, -312, 5775, 299, -16136, 2029, 19567, -4259, -12183, 3251, 4173, -1231, -790, 247, 77, -25, -3, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 2}
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id: 2362201
{'charpoly_factorization': [[[-127, 265, 4959, -3186, -32237, 24596, 40386, -32352, -20338, 16946, 4973, -4316, -631, 572, 40, -38, -1, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 3}
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id: 2362202
{'charpoly_factorization': [[[169001, 61397, -653363, -355972, 811339, 518708, -425932, -297618, 113888, 85362, -16747, -13444, 1367, 1180, -58, -54, 1, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 5}
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id: 2362203
{'charpoly_factorization': [[[0, 1], 17]], 'hecke_orbit_code': 81064793326225369, 'p': 7}
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id: 2362204
{'charpoly_factorization': [[[-62868571, -129243158, 3761764, 122935187, 13856243, -53174669, -2699737, 12480155, -481704, -1613435, 188058, 109379, -20511, -3199, 937, 3, -15, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 11}
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id: 2362205
{'charpoly_factorization': [[[1087488, 18825216, 56161280, 44394240, -21097856, -38994240, -6758560, 8982224, 3520268, -650892, -493123, -13003, 28264, 3149, -649, -103, 5, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 13}
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id: 2362206
{'charpoly_factorization': [[[153257984, -585559040, 69142016, 1184486656, -704501824, -478914016, 432553848, -15851352, -50397787, 6958903, 2521015, -460175, -63565, 13419, 799, -186, -4, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 17}
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id: 2362207
{'charpoly_factorization': [[[105370047, -295748919, 37926001, 457139466, -303188182, -107120792, 132532289, -7279278, -18742522, 3036416, 1234905, -257464, -42210, 9530, 733, -160, -5, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 19}
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id: 2362208
{'charpoly_factorization': [[[7445248, 204398848, -310086016, -610729664, 1476834176, -855421616, -68443960, 203985436, -38618675, -12601794, 4163593, 176298, -152477, 5235, 2283, -152, -12, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 23}
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id: 2362209
{'charpoly_factorization': [[[313574400, -177116160, -4828136192, 3189524480, 3058408064, -2419986240, -181843232, 435623168, -53604692, -25099520, 5524823, 480668, -191075, 1747, 2756, -138, -14, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 29}
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id: 2362210
{'charpoly_factorization': [[[-430336, 6605056, -32256384, 65064640, -40607264, -35975568, 52036728, -6360800, -12878111, 4090859, 714743, -360962, -7715, 12130, -188, -180, 3, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 31}
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id: 2362211
{'charpoly_factorization': [[[8594641728, -16457484096, -39739879152, 44556574176, 4653251712, -10762224048, 326718648, 1076009208, -87777660, -54827572, 6310529, 1452632, -217177, -16957, 3658, 6, -24, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 37}
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id: 2362212
{'charpoly_factorization': [[[-1, 1], 17]], 'hecke_orbit_code': 81064793326225369, 'p': 41}
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id: 2362213
{'charpoly_factorization': [[[-9456975872, 28875489280, -22154190848, -13888847872, 29182514176, -14107059712, 452041344, 1509440960, -301799136, -50151124, 17075893, 342580, -394543, 12429, 4012, -230, -14, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 43}
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id: 2362214
{'charpoly_factorization': [[[134296840532, -1165150192960, 2912473268312, -2569279921756, 943840049972, -67014446792, -53191560244, 14043574080, 14046301, -430969204, 41248791, 4542195, -863440, -2001, 6835, -235, -19, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 47}
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id: 2362215
{'charpoly_factorization': [[[-351924508928, -515409680896, 504418232320, 464659844224, -410319909408, 642259104, 51142146464, -5075060264, -2431504637, 322258400, 53305484, -8117814, -550119, 94652, 2514, -505, -4, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 53}
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id: 2362216
{'charpoly_factorization': [[[12653127175424, -6790657948160, -5566010822528, 2762922784448, 862175276896, -380892733520, -66310846664, 22579453016, 3166398183, -646218164, -92686071, 8487813, 1493948, -30597, -11215, -213, 27, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 59}
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id: 2362217
{'charpoly_factorization': [[[-44785569988, 194299954900, 712685731397, 599537928223, 106355690804, -76406745109, -32993841706, 152549989, 1942958785, 198986759, -41653239, -6610551, 372574, 84393, -1300, -477, 1, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 61}
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id: 2362218
{'charpoly_factorization': [[[-40677894128, 112434940808, -22620573996, -142007298440, 79085168620, 31738286372, -21343937800, -1889083204, 1952816196, -55531050, -72168291, 7304460, 823860, -159549, 3876, 662, -49, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 67}
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id: 2362219
{'charpoly_factorization': [[[22487137032128, -4388316927488, -13907696636611, 3715058105628, 2203885385704, -623451604792, -138612687761, 42849944915, 3264278786, -1418426731, 359597, 22513400, -1033558, -147456, 12263, 167, -40, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 71}
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id: 2362220
{'charpoly_factorization': [[[144806948824176, 55591128604032, -45580614999712, -13020445493104, 4869319675096, 1086268015976, -257679285968, -44949652648, 7638131987, 1043323138, -131423299, -14297187, 1290259, 116057, -6665, -521, 14, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 73}
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id: 2362221
{'charpoly_factorization': [[[-15425861826749, 59989479692318, 11604471640103, -20600063035317, 216001799000, 2286923271563, -284370358265, -81908151343, 17477709162, 594976537, -370599189, 17418957, 2759692, -300979, 1139, 1159, -61, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 79}
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id: 2362222
{'charpoly_factorization': [[[-558878703263744, -1973165870845952, -133915783893504, 292869823596032, 40466442683776, -13934229429568, -2628314999232, 243235758560, 67728580232, -931775672, -835788337, -17147096, 5202305, 199233, -15638, -762, 18, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 83}
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id: 2362223
{'charpoly_factorization': [[[-770084080128, 1628927697408, -794173892480, -255516173760, 301243166656, -46874416944, -24064949680, 8843326416, -101842301, -351302994, 41546430, 4046243, -955231, 7989, 7384, -303, -18, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 89}
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id: 2362224
{'charpoly_factorization': [[[-4404611986402304, -12959554831435776, 3452622908628224, 1533252250475008, -405835181764864, -42640025670016, 14359066017472, 384374586096, -236700781836, 1052379264, 2085618573, -41733303, -10120670, 292102, 25485, -879, -26, 1], 1]], 'hecke_orbit_code': 81064793326225369, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '2009.2.a.s', 'level': 2009, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 243804000
{'hecke_orbit_code': 81064793326225369, 'n': 1, 'trace_an': 17}
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id: 243804001
{'hecke_orbit_code': 81064793326225369, 'n': 2, 'trace_an': 3}
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id: 243804002
{'hecke_orbit_code': 81064793326225369, 'n': 3, 'trace_an': 1}
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id: 243804003
{'hecke_orbit_code': 81064793326225369, 'n': 4, 'trace_an': 25}
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id: 243804004
{'hecke_orbit_code': 81064793326225369, 'n': 5, 'trace_an': -1}
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id: 243804005
{'hecke_orbit_code': 81064793326225369, 'n': 6, 'trace_an': 2}
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id: 243804006
{'hecke_orbit_code': 81064793326225369, 'n': 7, 'trace_an': 0}
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id: 243804007
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