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mf_newforms • Show schema
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{'Nk2': 800, 'analytic_conductor': 2.9500955002870306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [50, 2, [27], [1]], 'cm_discs': [], 'conrey_index': 49, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [49, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503668413956146, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '50.4.b.b', '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': '50.4.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+2 i q^{2}-7 i q^{3}-4 q^{4}+14 q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '50.4.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1479324557902516988, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.938', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.637', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '158.674', 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.0, 0.7071067811865476], [0.0, -1.3471506281091268], [-0.5, 0.0], [0.0, 0.0], [0.9525793444156804, 0.0], [0.0, -1.8358274403305324], [0.0, -0.3535533905932738], [-0.8148148148148148, 0.0], [0.0, 0.0], [0.740073300327238, 0.0], [0.0, 0.6735753140545634], [0.0, 0.5973694420887082], [1.2981260321460613, 0.0], [0.0, 0.0], [0.25, 0.0], [0.0, 0.29960283092723483], [0.0, -0.5761610809668165], [-0.42260793081419273, 0.0], [0.0, 0.0], [-2.473136089341247, 0.0], [0.0, 0.5233108492364983], [0.0, 0.7071358389761666], [-0.4762896722078402, 0.0], [0.0, 0.0], [-0.4224039833745502, 0.0], [0.0, -0.2494723385387272], [0.0, 0.9179137201652662], [0.7683945028015939, 0.0], [0.0, 0.0], [1.0544569344797752, 0.0], [0.0, 0.1767766952966369], [0.0, -0.9969902113826331], [-0.21185119341133446, 0.0], [0.0, 0.0], [0.4074074074074074, 0.0], [0.0, 0.6487095174751937], [0.0, -0.298828933661931], [0.804746619123002, 0.0], [0.0, 0.0], [1.3598544632739602, 0.0], [0.0, -1.748771299570375], [0.0, 0.5248788002145462], [-0.370036650163619, 0.0], [0.0, 0.0], [-0.5000205469600859, 0.0], [0.0, -0.26069487842176897], [0.0, -0.3367876570272817], [-2.370262390670554, 0.0], [0.0, 0.0], [0.4036101418668969, 0.0], [0.0, -0.2986847210443541], [0.0, -1.8193795451316923], [0.17640358229920006, 0.0], [0.0, 0.0], [-0.6490630160730306, 0.0], [0.0, 0.5693165394402381], [0.0, 0.5433369635574726], [1.8535370376930855, 0.0], [0.0, 0.0], [-0.49955372826277444, 0.0], [0.0, 0.7456136488398281], [0.0, 1.495859395824878], [-0.125, 0.0], [0.0, 0.0], [0.7049785392452693, 0.0], [0.0, 0.8405987141530852], [0.0, -0.14980141546361742], [0.9526184896352171, 0.0], [0.0, 0.0], [-1.1834386112693636, 0.0], [0.0, 0.28808054048340825], [0.0, 0.2132393503710324], [-0.4587068988269626, 0.0], [0.0, 0.0], [0.21130396540709637, 0.0], [0.0, -1.3586468725967225], [0.0, 0.5690417915188225], [-0.9257052349391336, 0.0], [0.0, 0.0], [-1.1508916323731138, 0.0], [0.0, 0.9615623124078102], [0.0, 1.1941822502492818], [1.2365680446706235, 0.0], [0.0, 0.0], [-0.3711453589327648, 0.0], [0.0, -1.0351431370847675], [0.0, -0.26165542461824914], [-0.8753915076457017, 0.0], [0.0, 0.0], [1.0966672138013915, 0.0], [0.0, -0.3535679194880833], [0.0, -1.4205123215984536], [0.18433911635263542, 0.0], [0.0, 0.0], [0.2381448361039201, 0.0], [0.0, 1.1577039779770955], [0.0, -1.6760286096345864], [-0.6030226891555273, 0.0], [0.0, 0.0]], 'angles': [None, -0.38237885375732134, None, -0.3149362141783626, -0.18967256219181605, 0.0482739487317698, 0.023931717982324015, -0.28388549692781406, 0.057515836049151906, -0.18723912864321646, -0.161615599780126, 0.0525735773146558, -0.13100567519775613, 0.04226349134744826, -0.4791953612402423, -0.31815967904578246, -0.06128732876538699, -0.29017863486746814, 0.06903746831363752, -0.350775306947404, 0.017001363918869524, -0.3265870428784288, 0.10183846574937587, -0.3221026481676872, 0.0982495502982154, -0.21345969643368826, -0.43651534034721967, -0.4419973199464858, -0.2661109142802722, 0.1656716178162266, -0.43637934426836533, -0.2366095175057802, 0.10345782437660409, -0.1663180120347472, -0.16761368543814148, -0.4241954313374824, 0.010768462615594932, -0.45516665929197186, -0.43299288520464463, 0.0665508563092621, -0.2544864401295294, -0.17238599038241456, -0.29265388995193453, -0.3938588522769617, 0.04930809718878133, -0.2057784721484355, -0.3326759867379692, -0.41661423868469905, 0.03748054839926982, -0.3576934006043224, 0.0697368645236008, -0.35258281323266305, -0.3323936283860811, -0.07541028465959652, 0.15606421576106147, 0.06602227519377966, -0.21951189646714886, -0.15049513984505827, -0.4760198975296096, -0.3171515145568805, -0.42585640179251233, -0.3910639934899952, 0.09116782992996388, -0.286267362221412, 0.04005552061627597, 0.008971982231029485, -0.15311910221064287, 0.10092949707694435, -0.43210765211942676, -0.41611358486210237, -0.4843527175807929, -0.24122130487280122, -0.48635575111010215, 0.013249071057713451, -0.3425418532472737, 0.03552055577159747, -0.07273156745316452, -0.4621811060827039, -0.1878099812900683, -0.31036341529130673, -0.2646339572769661, -0.25910669820438104, -0.2549633948798854, 0.021643183219411274, -0.36678985303943207, 0.02004961970271617, -0.347128585030549, -0.47283347656679586, -0.3029733387083134, -0.3974146793180245, 0.05331817861139978, -0.24521708362971856, 0.08246982136647472, -0.26750160413354074, -0.17162512838882885, -0.45000082860653756, -0.1856890822160412, -0.1776978055427511, 0.055070652391401784, -0.350433470456373], 'char_orbit_index': 2, 'conrey_index': 49, 'dual_conrey_index': 49, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 1.0, 'embedding_root_real': 0.0, 'hecke_orbit': 2, 'hecke_orbit_code': 4503668413956146, 'label': '50.4.b.b.49.2', 'level': 50, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 800, 'analytic_conductor': 2.9500955002870306, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [50, 2, [27], [1]], 'conrey_index': 49, 'cusp_dim': 16, 'dim': 4, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 68786585650, 'hecke_orbit_dims': [2, 2], 'label': '50.4.b', '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': 28, 'mf_new_dim': 4, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 4, 'sturm_bound': 30, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [4, 0, 0, -16, 0, -4, 0, 0, -118, 0, 78, 0, 0, 152, 0, 64, 0, 0, 130, 0, -412, 0, 0, 16, 0, -344, 0, 0, 420, 0, 668, 0, 0, -348, 0, 472, 0, 0, -536, 0, -162, 0, 0, -312, 0, 216, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 34575184
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668413956146, 'target_is_minimal': False, 'target_label': '50.4.b.b.49.2', 'target_level': 50, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 34575185
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336760803778, 'target_is_minimal': False, 'target_label': '450.4.c.c.199.1', 'target_level': 450, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 34575186
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936388174224, 'target_is_minimal': False, 'target_label': '400.4.c.d.49.2', 'target_level': 400, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34575187
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108914, 'target_is_minimal': True, 'target_label': '50.4.a.a.1.1', 'target_level': 50, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 34575188
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398576590898, 'target_is_minimal': True, 'target_label': '50.4.a.e.1.1', 'target_level': 50, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34575189
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668413956146, 'target_is_minimal': False, 'target_label': '50.4.b.b.49.1', 'target_level': 50, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 34575190
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392987148738, 'target_is_minimal': False, 'target_label': '450.4.a.t.1.1', 'target_level': 450, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 34575191
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109314, 'target_is_minimal': False, 'target_label': '450.4.a.a.1.1', 'target_level': 450, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 34575192
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336760803778, 'target_is_minimal': False, 'target_label': '450.4.c.c.199.2', 'target_level': 450, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 34575193
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220752, 'target_is_minimal': False, 'target_label': '400.4.a.d.1.1', 'target_level': 400, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34575194
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193732407696, 'target_is_minimal': False, 'target_label': '400.4.a.r.1.1', 'target_level': 400, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 34575195
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936388174224, 'target_is_minimal': False, 'target_label': '400.4.c.d.49.1', 'target_level': 400, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 34575196
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391124003218, 'target_is_minimal': False, 'target_label': '2450.4.a.y.1.1', 'target_level': 2450, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 34575197
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392987150738, 'target_is_minimal': False, 'target_label': '2450.4.a.t.1.1', 'target_level': 2450, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 34575198
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 211669182553523776, 'target_is_minimal': False, 'target_label': '1600.4.a.bv.1.1', 'target_level': 1600, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34575199
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203962944, 'target_is_minimal': False, 'target_label': '1600.4.a.f.1.1', 'target_level': 1600, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 34575200
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831333440, 'target_is_minimal': False, 'target_label': '1600.4.a.g.1.1', 'target_level': 1600, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 34575201
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503668413956146, 'source_is_minimal': False, 'source_label': '50.4.b.b.49.2', 'source_level': 50, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 207165582926153280, 'target_is_minimal': False, 'target_label': '1600.4.a.bu.1.1', 'target_level': 1600, 'twist_class_label': '50.4.a.a.1.1', 'twist_class_level': 50, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 168600
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 2}
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id: 168601
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 3}
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id: 168602
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 5}
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id: 168603
{'charpoly_factorization': [[[1156, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 7}
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id: 168604
{'charpoly_factorization': [[[-27, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 11}
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id: 168605
{'charpoly_factorization': [[[784, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 13}
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id: 168606
{'charpoly_factorization': [[[441, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 17}
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id: 168607
{'charpoly_factorization': [[[35, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 19}
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id: 168608
{'charpoly_factorization': [[[6084, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 23}
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id: 168609
{'charpoly_factorization': [[[-120, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 29}
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id: 168610
{'charpoly_factorization': [[[-182, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 31}
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id: 168611
{'charpoly_factorization': [[[21316, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 37}
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id: 168612
{'charpoly_factorization': [[[-357, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 41}
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id: 168613
{'charpoly_factorization': [[[21904, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 43}
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id: 168614
{'charpoly_factorization': [[[7056, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 47}
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id: 168615
{'charpoly_factorization': [[[492804, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 53}
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id: 168616
{'charpoly_factorization': [[[-840, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 59}
-
id: 168617
{'charpoly_factorization': [[[238, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 61}
-
id: 168618
{'charpoly_factorization': [[[212521, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 67}
-
id: 168619
{'charpoly_factorization': [[[708, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 71}
-
id: 168620
{'charpoly_factorization': [[[17689, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 73}
-
id: 168621
{'charpoly_factorization': [[[650, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 79}
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id: 168622
{'charpoly_factorization': [[[815409, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 83}
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id: 168623
{'charpoly_factorization': [[[735, 1], 2]], 'hecke_orbit_code': 4503668413956146, 'p': 89}
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id: 168624
{'charpoly_factorization': [[[1223236, 0, 1], 1]], 'hecke_orbit_code': 4503668413956146, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 2, 'label': '50.4.b.b', 'level': 50, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 20549934
{'hecke_orbit_code': 4503668413956146, 'n': 1, 'trace_an': 2}
-
id: 20549935
{'hecke_orbit_code': 4503668413956146, 'n': 2, 'trace_an': 0}
-
id: 20549936
{'hecke_orbit_code': 4503668413956146, 'n': 3, 'trace_an': 0}
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id: 20549937
{'hecke_orbit_code': 4503668413956146, 'n': 4, 'trace_an': -8}
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id: 20549938
{'hecke_orbit_code': 4503668413956146, 'n': 5, 'trace_an': 0}
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id: 20549939
{'hecke_orbit_code': 4503668413956146, 'n': 6, 'trace_an': 28}
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id: 20549940
{'hecke_orbit_code': 4503668413956146, 'n': 7, 'trace_an': 0}
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id: 20549941
{'hecke_orbit_code': 4503668413956146, 'n': 8, 'trace_an': 0}
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id: 20549942
{'hecke_orbit_code': 4503668413956146, 'n': 9, 'trace_an': -44}
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id: 20549943
{'hecke_orbit_code': 4503668413956146, 'n': 10, 'trace_an': 0}
-
id: 20549944
{'hecke_orbit_code': 4503668413956146, 'n': 11, 'trace_an': 54}
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id: 20549945
{'hecke_orbit_code': 4503668413956146, 'n': 12, 'trace_an': 0}
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id: 20549946
{'hecke_orbit_code': 4503668413956146, 'n': 13, 'trace_an': 0}
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