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{'Nk2': 20000, 'analytic_conductor': 114.40834827819039, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 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': [50, 1, [27], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 11703409, 'field_disc_factorization': [[41, 1], [131, 1], [2179, 1]], 'field_poly': [-2925852, -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': [[3, [-886013856, 33724, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998472396850, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 20, 'hecke_ring_index_factorization': [[2, 2], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '50.20.a.f', 'level': 50, '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': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '10.20.a.d', 'prim_orbit_index': 1, 'qexp_display': 'q-2^{9}q^{2}+(-16862-\\beta )q^{3}+2^{18}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '19.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '50.20.a', 'trace_display': [-1024, -33724, 0, -83061292], 'trace_hash': 1250284131659206407, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.053', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.897', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.226', 'prec': 17}, {'__RealLiteral__': 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-
mf_hecke_nf • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'ALdims': [8, 8, 6, 9], 'Nk2': 20000, 'analytic_conductor': 114.40834827819039, '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': [50, 1, [27], [1]], 'conrey_index': 1, 'cusp_dim': 137, 'dim': 31, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 335544370, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 5, 5], 'label': '50.20.a', 'level': 50, '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': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 149, 'mf_new_dim': 31, 'num_forms': 12, 'plus_dim': 17, 'prim_orbit_index': 1, 'relative_dim': 31, 'sturm_bound': 150, 'trace_bound': 3, 'trace_display': [-512, -4252, 0, 220731784], 'traces': [31, -512, -4252, 8126464, 0, -6286336, 220731784, -134217728, 12866238137, 0, 705523582, 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0, -239060769332242366735509950658, 30415866278826558153143877632, 39310800466035549082211066720, -6170979823256007321702033408, 0, -4937415052201799314107793408, -171334273756701179370875441646, -45257527097894199870467964928, 404301890332396656545185870, 0, 121904578430013248671635050150, 17707156839537254051912165376, 86045756984980407999188247288, 114982813903661076605600530432, 0, 42032971880704165636626462720, 62591127769302083999442337968, -37899235477999571722232135680, 267845872501214287936909315664, 0, 90721995070746655572784286572, -20927158232588308903974928384, 43696902674491333760749657216, 7854917373910094904657076224, 0, -22323680156222012715592843264, -52478402299066711523709496586, 19497976861237553733580359680, -143008140439001765640250481380, 0], 'weight': 20, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 43139
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '50.20.a.f', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '10.20.a.d', 'target_level': 10, 'twist_class_label': '10.20.a.d', 'twist_class_level': 10, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 20}
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id: 43140
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '50.20.a.f', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '50.20.a.f', 'target_level': 50, 'twist_class_label': '10.20.a.d', 'twist_class_level': 10, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 20}
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id: 43141
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '50.20.a.f', 'source_level': 50, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '50.20.b.f', 'target_level': 50, 'twist_class_label': '10.20.a.d', 'twist_class_level': 10, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 20}
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id: 43142
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '50.20.a.f', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '80.20.a.d', 'target_level': 80, 'twist_class_label': '10.20.a.d', 'twist_class_level': 10, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 20}
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id: 43143
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '50.20.a.f', 'source_level': 50, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '90.20.a.g', 'target_level': 90, 'twist_class_label': '10.20.a.d', 'twist_class_level': 10, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 20}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 172525
{'charpoly_factorization': [[[512, 1], 2]], 'hecke_orbit_code': 22517998472396850, 'p': 2}
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id: 172526
{'charpoly_factorization': [[[-886013856, 33724, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 3}
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id: 172527
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22517998472396850, 'p': 5}
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id: 172528
{'charpoly_factorization': [[[1521285148417216, 83061292, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 7}
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id: 172529
{'charpoly_factorization': [[[-47730578101926507216, -3549480144, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 11}
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id: 172530
{'charpoly_factorization': [[[-2689867756626902590076, 30250225564, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 13}
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id: 172531
{'charpoly_factorization': [[[-404902296962653815907164, 329655779412, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 17}
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id: 172532
{'charpoly_factorization': [[[-224829910719425633476400, -383076809800, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 19}
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id: 172533
{'charpoly_factorization': [[[-47559405120786122333305536, 2082856096884, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 23}
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id: 172534
{'charpoly_factorization': [[[3435269094161621551297894500, -166587684602220, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 29}
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id: 172535
{'charpoly_factorization': [[[43710856623377082693447850624, -418151119038664, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 31}
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id: 172536
{'charpoly_factorization': [[[291194254647528291913120540996, -1292219637694628, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 37}
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id: 172537
{'charpoly_factorization': [[[-3912998433588172023102516481596, 3127192714527996, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 41}
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id: 172538
{'charpoly_factorization': [[[-16071110072330816095551936766976, -1795992338357636, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 43}
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id: 172539
{'charpoly_factorization': [[[2023627685397493654313791371936, -6761653310165988, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 47}
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id: 172540
{'charpoly_factorization': [[[-21990531734597515563009009315036, -9787568571066516, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 53}
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id: 172541
{'charpoly_factorization': [[[90835437575597397066193501818000, 25484316660294360, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 59}
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id: 172542
{'charpoly_factorization': [[[-5040173935575429939525005855211356, 77840503559636276, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 61}
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id: 172543
{'charpoly_factorization': [[[47645428527194418282980329980873856, 439654835073204532, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 67}
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id: 172544
{'charpoly_factorization': [[[-146992372043765114880441819263431296, 29427662567526696, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 71}
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id: 172545
{'charpoly_factorization': [[[503573450545329755162918247652049284, -1463308911724217756, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 73}
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id: 172546
{'charpoly_factorization': [[[-925670954599121852061885713158668800, 1235969155825112720, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 79}
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id: 172547
{'charpoly_factorization': [[[-5256100562761597840762396636487683296, -877205635969635396, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 83}
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id: 172548
{'charpoly_factorization': [[[-1773927076930436818549534349321271900, -4172929077000032820, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 89}
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id: 172549
{'charpoly_factorization': [[[-11907212148629124341089780137626756444, 11254578228347861332, 1], 1]], 'hecke_orbit_code': 22517998472396850, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '50.20.a.f', 'level': 50, 'portrait': 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', 'weight': 20}
-
mf_hecke_traces • Show schema
Hide schema
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id: 43977109
{'hecke_orbit_code': 22517998472396850, 'n': 1, 'trace_an': 2}
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id: 43977110
{'hecke_orbit_code': 22517998472396850, 'n': 2, 'trace_an': -1024}
-
id: 43977111
{'hecke_orbit_code': 22517998472396850, 'n': 3, 'trace_an': -33724}
-
id: 43977112
{'hecke_orbit_code': 22517998472396850, 'n': 4, 'trace_an': 524288}
-
id: 43977113
{'hecke_orbit_code': 22517998472396850, 'n': 5, 'trace_an': 0}
-
id: 43977114
{'hecke_orbit_code': 22517998472396850, 'n': 6, 'trace_an': 17266688}
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id: 43977115
{'hecke_orbit_code': 22517998472396850, 'n': 7, 'trace_an': -83061292}
-
id: 43977116
{'hecke_orbit_code': 22517998472396850, 'n': 8, 'trace_an': -268435456}
-
id: 43977117
{'hecke_orbit_code': 22517998472396850, 'n': 9, 'trace_an': 584812954}
-
id: 43977118
{'hecke_orbit_code': 22517998472396850, 'n': 10, 'trace_an': 0}
-
id: 43977119
{'hecke_orbit_code': 22517998472396850, 'n': 11, 'trace_an': 3549480144}
-
id: 43977120
{'hecke_orbit_code': 22517998472396850, 'n': 12, 'trace_an': -8840544256}
-
id: 43977121
{'hecke_orbit_code': 22517998472396850, 'n': 13, 'trace_an': -30250225564}
-
id: 43977122
{'hecke_orbit_code': 22517998472396850, 'n': 14, 'trace_an': 42527381504}
-
id: 43977123
{'hecke_orbit_code': 22517998472396850, 'n': 15, 'trace_an': 0}
-
id: 43977124
{'hecke_orbit_code': 22517998472396850, 'n': 16, 'trace_an': 137438953472}
-
id: 43977125
{'hecke_orbit_code': 22517998472396850, 'n': 17, 'trace_an': -329655779412}
-
id: 43977126
{'hecke_orbit_code': 22517998472396850, 'n': 18, 'trace_an': -299424232448}
-
id: 43977127
{'hecke_orbit_code': 22517998472396850, 'n': 19, 'trace_an': 383076809800}
-
id: 43977128
{'hecke_orbit_code': 22517998472396850, 'n': 20, 'trace_an': 0}
-
id: 43977129
{'hecke_orbit_code': 22517998472396850, 'n': 21, 'trace_an': 424515195104}
-
id: 43977130
{'hecke_orbit_code': 22517998472396850, 'n': 22, 'trace_an': -1817333833728}
-
id: 43977131
{'hecke_orbit_code': 22517998472396850, 'n': 23, 'trace_an': -2082856096884}
-
id: 43977132
{'hecke_orbit_code': 22517998472396850, 'n': 24, 'trace_an': 4526358659072}
-
id: 43977133
{'hecke_orbit_code': 22517998472396850, 'n': 25, 'trace_an': 0}
-
id: 43977134
{'hecke_orbit_code': 22517998472396850, 'n': 26, 'trace_an': 15488115488768}
-
id: 43977135
{'hecke_orbit_code': 22517998472396850, 'n': 27, 'trace_an': -49602163340440}
-
id: 43977136
{'hecke_orbit_code': 22517998472396850, 'n': 28, 'trace_an': -21774019330048}
-
id: 43977137
{'hecke_orbit_code': 22517998472396850, 'n': 29, 'trace_an': 166587684602220}
-
id: 43977138
{'hecke_orbit_code': 22517998472396850, 'n': 30, 'trace_an': 0}
-
id: 43977139
{'hecke_orbit_code': 22517998472396850, 'n': 31, 'trace_an': 418151119038664}
-
id: 43977140
{'hecke_orbit_code': 22517998472396850, 'n': 32, 'trace_an': -70368744177664}
-
id: 43977141
{'hecke_orbit_code': 22517998472396850, 'n': 33, 'trace_an': -547897533578928}
-
id: 43977142
{'hecke_orbit_code': 22517998472396850, 'n': 34, 'trace_an': 168783759058944}
-
id: 43977143
{'hecke_orbit_code': 22517998472396850, 'n': 35, 'trace_an': 0}
-
id: 43977144
{'hecke_orbit_code': 22517998472396850, 'n': 36, 'trace_an': 153305207013376}
-
id: 43977145
{'hecke_orbit_code': 22517998472396850, 'n': 37, 'trace_an': 1292219637694628}
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