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{'Nk2': 10500, 'analytic_conductor': 54.07876279720668, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [7, 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': [105, 1, [71, 22, 31], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 259751648636617, 'field_disc_factorization': [[18517, 1], [14027739301, 1]], 'field_poly': [99862, 193, -1495, -1, 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, [98176, 3176, -1486, -5, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398677254249, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 36, 'hecke_ring_index_factorization': [[2, 2], [3, 2]], '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': '105.10.a.e', 'level': 105, '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, 5, 7], 'level_radical': 105, 'minimal_twist': '105.10.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta _{1})q^{2}-3^{4}q^{3}+(237+3\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '9.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '105.10.a', 'trace_display': [5, -324, -2500, -9604], 'trace_hash': 1093715866523629829, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.754', 'prec': 17}, 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mf_hecke_nf • Show schema
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-
mf_newspaces • Show schema
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{'ALdims': [4, 6, 4, 4, 4, 4, 4, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [11, 13, 15, 13, 13, 13, 15, 11], 'Nk2': 10500, 'analytic_conductor': 54.07876279720668, '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': [105, 1, [71, 22, 31], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 140, 'dim': 36, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 167772265, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 6, 6], 'label': '105.10.a', 'level': 105, '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, 5, 7], 'level_radical': 105, 'mf_dim': 148, 'mf_new_dim': 36, 'num_forms': 8, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 160, 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mf_twists_nf • Show schema
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id: 93724
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '105.10.a.e', 'source_level': 105, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '105.10.a.e', 'target_level': 105, 'twist_class_label': '105.10.a.e', 'twist_class_level': 105, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 10}
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id: 93725
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '105.10.a.e', 'source_level': 105, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '315.10.a.d', 'target_level': 315, 'twist_class_label': '105.10.a.e', 'twist_class_level': 105, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 10}
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mf_hecke_charpolys • Show schema
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id: 310375
{'charpoly_factorization': [[[98176, 3176, -1486, -5, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 2}
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id: 310376
{'charpoly_factorization': [[[81, 1], 4]], 'hecke_orbit_code': 18014398677254249, 'p': 3}
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id: 310377
{'charpoly_factorization': [[[625, 1], 4]], 'hecke_orbit_code': 18014398677254249, 'p': 5}
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id: 310378
{'charpoly_factorization': [[[2401, 1], 4]], 'hecke_orbit_code': 18014398677254249, 'p': 7}
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id: 310379
{'charpoly_factorization': [[[1148378893077283840, 48564359413792, -2162338768, -64546, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 11}
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id: 310380
{'charpoly_factorization': [[[2087026326330661408, -669830386558904, -20066723020, 29390, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 13}
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id: 310381
{'charpoly_factorization': [[[23643620791926137968, 3273574151231632, -1021907296, -278788, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 17}
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id: 310382
{'charpoly_factorization': [[[14061271076636993781760, -276910148680515072, -325534602472, 929142, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 19}
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id: 310383
{'charpoly_factorization': [[[5966021920127888330457088, -969674846427772928, -5034099067840, 526064, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 23}
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id: 310384
{'charpoly_factorization': [[[3766007080432888249726960, -15134129989563532144, -20358284192256, -365860, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 29}
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id: 310385
{'charpoly_factorization': [[[-5385635343022604213661696, -21725149147137154368, -17686242474264, 4977954, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 31}
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id: 310386
{'charpoly_factorization': [[[-5088496785531912875269172592, 914993329780710880416, 85601056204152, -22846008, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 37}
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id: 310387
{'charpoly_factorization': [[[-1741578412433279227809520400, -406342713096885770320, 162580566718208, 28257844, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 41}
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id: 310388
{'charpoly_factorization': [[[-1311716368077162409808986112, 1030839323943145039616, -67591670628160, -23603420, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 43}
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id: 310389
{'charpoly_factorization': [[[58750683296154636210276888064, -10165695914301742510528, -609401836084656, 30058700, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 47}
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id: 310390
{'charpoly_factorization': [[[-5946443092673369326785565289120, 217933635127886700312376, 1245720788606852, -113767294, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 53}
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id: 310391
{'charpoly_factorization': [[[27156748975898541464680775718400, -669081110427586618619584, -7777091445832560, 151786220, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 59}
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id: 310392
{'charpoly_factorization': [[[-16981990365992492188163092764816, -1515722828930685240938352, -10944770775397920, 191130108, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 61}
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id: 310393
{'charpoly_factorization': [[[92317476355389379730513402355712, -1642942349754709805428480, -22240166599204864, 147812356, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 67}
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id: 310394
{'charpoly_factorization': [[[-4894253701710975234271575758336, 526440466314243787832096, -13808634857887440, 37100486, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 71}
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id: 310395
{'charpoly_factorization': [[[447903704912081261447069859001312, 3401210165731866226669880, -37217154536905564, -163444574, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 73}
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id: 310396
{'charpoly_factorization': [[[5169499193774871049013505273364480, -23158811501607203084808192, -119878312216534720, 327433200, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 79}
-
id: 310397
{'charpoly_factorization': [[[138099202193482303564454264960509696, 80418557737296956207892352, -732292832079288192, -216775352, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 83}
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id: 310398
{'charpoly_factorization': [[[-6835983574581693283029248756411120, -149171279988298405308465888, -117075883075032232, 792987912, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 89}
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id: 310399
{'charpoly_factorization': [[[124012033707089187564609857759868352, -653564638904263631364784056, -1119228055421794132, 640730334, 1], 1]], 'hecke_orbit_code': 18014398677254249, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '105.10.a.e', 'level': 105, 'portrait': 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', 'weight': 10}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 40278421
{'hecke_orbit_code': 18014398677254249, 'n': 1, 'trace_an': 4}
-
id: 40278422
{'hecke_orbit_code': 18014398677254249, 'n': 2, 'trace_an': 5}
-
id: 40278423
{'hecke_orbit_code': 18014398677254249, 'n': 3, 'trace_an': -324}
-
id: 40278424
{'hecke_orbit_code': 18014398677254249, 'n': 4, 'trace_an': 949}
-
id: 40278425
{'hecke_orbit_code': 18014398677254249, 'n': 5, 'trace_an': -2500}
-
id: 40278426
{'hecke_orbit_code': 18014398677254249, 'n': 6, 'trace_an': -405}
-
id: 40278427
{'hecke_orbit_code': 18014398677254249, 'n': 7, 'trace_an': -9604}
-
id: 40278428
{'hecke_orbit_code': 18014398677254249, 'n': 8, 'trace_an': 7767}
-
id: 40278429
{'hecke_orbit_code': 18014398677254249, 'n': 9, 'trace_an': 26244}
-
id: 40278430
{'hecke_orbit_code': 18014398677254249, 'n': 10, 'trace_an': -3125}
-
id: 40278431
{'hecke_orbit_code': 18014398677254249, 'n': 11, 'trace_an': 64546}
-
id: 40278432
{'hecke_orbit_code': 18014398677254249, 'n': 12, 'trace_an': -76869}
-
id: 40278433
{'hecke_orbit_code': 18014398677254249, 'n': 13, 'trace_an': -29390}
-
id: 40278434
{'hecke_orbit_code': 18014398677254249, 'n': 14, 'trace_an': -12005}
-
id: 40278435
{'hecke_orbit_code': 18014398677254249, 'n': 15, 'trace_an': 202500}
-
id: 40278436
{'hecke_orbit_code': 18014398677254249, 'n': 16, 'trace_an': 554577}
-
id: 40278437
{'hecke_orbit_code': 18014398677254249, 'n': 17, 'trace_an': 278788}
-
id: 40278438
{'hecke_orbit_code': 18014398677254249, 'n': 18, 'trace_an': 32805}
-
id: 40278439
{'hecke_orbit_code': 18014398677254249, 'n': 19, 'trace_an': -929142}
-
id: 40278440
{'hecke_orbit_code': 18014398677254249, 'n': 20, 'trace_an': -593125}
-
id: 40278441
{'hecke_orbit_code': 18014398677254249, 'n': 21, 'trace_an': 777924}
-
id: 40278442
{'hecke_orbit_code': 18014398677254249, 'n': 22, 'trace_an': 2767732}
-
id: 40278443
{'hecke_orbit_code': 18014398677254249, 'n': 23, 'trace_an': -526064}
-
id: 40278444
{'hecke_orbit_code': 18014398677254249, 'n': 24, 'trace_an': -629127}
-
id: 40278445
{'hecke_orbit_code': 18014398677254249, 'n': 25, 'trace_an': 1562500}
-
id: 40278446
{'hecke_orbit_code': 18014398677254249, 'n': 26, 'trace_an': -3920706}
-
id: 40278447
{'hecke_orbit_code': 18014398677254249, 'n': 27, 'trace_an': -2125764}
-
id: 40278448
{'hecke_orbit_code': 18014398677254249, 'n': 28, 'trace_an': -2278549}
-
id: 40278449
{'hecke_orbit_code': 18014398677254249, 'n': 29, 'trace_an': 365860}
-
id: 40278450
{'hecke_orbit_code': 18014398677254249, 'n': 30, 'trace_an': 253125}
-
id: 40278451
{'hecke_orbit_code': 18014398677254249, 'n': 31, 'trace_an': -4977954}
-
id: 40278452
{'hecke_orbit_code': 18014398677254249, 'n': 32, 'trace_an': 7227279}
-
id: 40278453
{'hecke_orbit_code': 18014398677254249, 'n': 33, 'trace_an': -5228226}
-
id: 40278454
{'hecke_orbit_code': 18014398677254249, 'n': 34, 'trace_an': -2976030}
-
id: 40278455
{'hecke_orbit_code': 18014398677254249, 'n': 35, 'trace_an': 6002500}
-
id: 40278456
{'hecke_orbit_code': 18014398677254249, 'n': 36, 'trace_an': 6226389}
-
id: 40278457
{'hecke_orbit_code': 18014398677254249, 'n': 37, 'trace_an': 22846008}
-
id: 40278458
{'hecke_orbit_code': 18014398677254249, 'n': 38, 'trace_an': 27001832}
-
id: 40278459
{'hecke_orbit_code': 18014398677254249, 'n': 39, 'trace_an': 2380590}
-
id: 40278460
{'hecke_orbit_code': 18014398677254249, 'n': 40, 'trace_an': -4854375}
-
id: 40278461
{'hecke_orbit_code': 18014398677254249, 'n': 41, 'trace_an': -28257844}
-
id: 40278462
{'hecke_orbit_code': 18014398677254249, 'n': 42, 'trace_an': 972405}
-
id: 40278463
{'hecke_orbit_code': 18014398677254249, 'n': 43, 'trace_an': 23603420}
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