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mf_newforms • Show schema
{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [37, -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': [1850, 1, [1777, 1001], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 1791440, 'field_disc_factorization': [[2, 4], [5, 1], [7, 2], [457, 1]], 'field_poly': [-4, 13, 0, -9, 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, [4, 13, 0, -9, 0, 1]], [7, [400, 240, -44, -32, 1, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854671162, 'hecke_ring_generator_nbound': 7, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1850.2.a.be', 'level': 1850, '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, 37], 'level_radical': 370, 'minimal_twist': '370.2.b.d', 'nf_label': '5.5.1791440.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{1}q^{6}+(-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1850.2.a', 'trace_display': [5, 0, 0, -1], 'trace_hash': 1774404409398082015, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.079', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.694', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '67.795', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1675.222', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [5, 5, 0, 5, 0, 0, -1, 5, 3, 0, 3, 0, -6, -1, 0, 5, 9, 3, 4, 0, 16, 3, 6, 0, 0, -6, 0, -1, 11, 0, 23, 5, 20, 9, 0, 3, 5, 4, 20, 0, -7, 16, -17, 3, 0, 6, 12, 0, 30, 0, -20, -6, -7, 0, 0, -1, 0, 11, 20, 0, -9, 23, -33, 5, 0, 20, 12, 9, 16, 0, 6, 3, -6, 5, 0, 4, -1, 20, 20, 0, -7, -7, 12, 16, 0, -17, -34, 3, 12, 0, 16, 6, -4, 12, 0, 0, 3, 30, -11, 0, 14, -20, -34, -6, 0, -7, -18, 0, -5, 0, 0, -1, 27, 0, 0, 11, -2, 20, 31, 0, 0, -9, -32, 23, 0, -33, 0, 5, 16, 0, -22, 20, -16, 12, 0, 9, -14, 16, 31, 0, 4, 6, 20, 3, 0, -6, -20, 5, -32, 0, 42, 4, -27, -1, 0, 20, 13, 20, -12, 0, 16, -7, -29, -7, 0, 12, -24, 16, 29, 0, -12, -17, -11, -34, 0, 3, 0, 12, -6, 0, 16, 16, -32, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'ALdims': [7, 8, 9, 5, 8, 4, 5, 11], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [23, 30, 27, 27, 29, 27, 29, 24], 'Nk2': 7400, 'analytic_conductor': 14.772324373936872, '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': [1850, 1, [1777, 1001], [1, 1]], 'conrey_index': 1, 'cusp_dim': 273, 'dim': 57, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33556282, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5], 'label': '1850.2.a', 'level': 1850, '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, 37], 'level_radical': 370, 'mf_dim': 296, 'mf_new_dim': 57, 'num_forms': 31, 'plus_dim': 21, 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mf_twists_cc • Show schema
-
id: 48723395
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854671162, 'source_is_minimal': False, 'source_label': '1850.2.a.be.1.2', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854671162, 'target_is_minimal': False, 'target_label': '1850.2.a.be.1.2', 'target_level': 1850, 'twist_class_label': '370.2.b.d.149.2', 'twist_class_level': 370, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 48723396
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854671162, 'source_is_minimal': False, 'source_label': '1850.2.a.be.1.2', 'source_level': 1850, 'target_conrey_index': 149, 'target_dim': 10, 'target_embedding_index': 9, 'target_hecke_orbit_code': 13510867635143026, 'target_is_minimal': True, 'target_label': '370.2.b.d.149.9', 'target_level': 370, 'twist_class_label': '370.2.b.d.149.2', 'twist_class_level': 370, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 48723397
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854671162, 'source_is_minimal': False, 'source_label': '1850.2.a.be.1.2', 'source_level': 1850, 'target_conrey_index': 149, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510867635143026, 'target_is_minimal': True, 'target_label': '370.2.b.d.149.2', 'target_level': 370, 'twist_class_label': '370.2.b.d.149.2', 'twist_class_level': 370, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2} -
id: 48723398
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854671162, 'source_is_minimal': False, 'source_label': '1850.2.a.be.1.2', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 130604389227300666, 'target_is_minimal': False, 'target_label': '1850.2.a.bd.1.4', 'target_level': 1850, 'twist_class_label': '370.2.b.d.149.2', 'twist_class_level': 370, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2} -
id: 48723399
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854671162, 'source_is_minimal': False, 'source_label': '1850.2.a.be.1.2', 'source_level': 1850, 'target_conrey_index': 1999, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554200602545410, 'target_is_minimal': False, 'target_label': '3330.2.d.p.1999.2', 'target_level': 3330, 'twist_class_label': '370.2.b.d.149.2', 'twist_class_level': 370, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 48723400
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 135107988854671162, 'source_is_minimal': False, 'source_label': '1850.2.a.be.1.2', 'source_level': 1850, 'target_conrey_index': 1999, 'target_dim': 10, 'target_embedding_index': 7, 'target_hecke_orbit_code': 67554200602545410, 'target_is_minimal': False, 'target_label': '3330.2.d.p.1999.7', 'target_level': 3330, 'twist_class_label': '370.2.b.d.149.2', 'twist_class_level': 370, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
-
id: 48723395
-
mf_hecke_charpolys • Show schema
-
id: 2252900
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 135107988854671162, 'p': 2} -
id: 2252901
{'charpoly_factorization': [[[4, 13, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 3} -
id: 2252902
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 135107988854671162, 'p': 5} -
id: 2252903
{'charpoly_factorization': [[[400, 240, -44, -32, 1, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 7} -
id: 2252904
{'charpoly_factorization': [[[-1, 19, 71, -23, -3, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 11} -
id: 2252905
{'charpoly_factorization': [[[8, -31, -154, -29, 6, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 13} -
id: 2252906
{'charpoly_factorization': [[[368, -576, 216, -4, -9, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 17} -
id: 2252907
{'charpoly_factorization': [[[-640, 80, 176, -40, -4, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 19} -
id: 2252908
{'charpoly_factorization': [[[288, 345, 82, -25, -6, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 23} -
id: 2252909
{'charpoly_factorization': [[[-335, 5, 251, -9, -11, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 29} -
id: 2252910
{'charpoly_factorization': [[[-10511, -3199, 655, 107, -23, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 31} -
id: 2252911
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 135107988854671162, 'p': 37} -
id: 2252912
{'charpoly_factorization': [[[5821, -1377, -1151, -119, 7, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 41} -
id: 2252913
{'charpoly_factorization': [[[-3056, -2304, -380, 52, 17, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 43} -
id: 2252914
{'charpoly_factorization': [[[-8000, 400, 640, -44, -12, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 47} -
id: 2252915
{'charpoly_factorization': [[[32816, 4928, -1176, -164, 7, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 53} -
id: 2252916
{'charpoly_factorization': [[[-3136, -2352, 672, 52, -20, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 59} -
id: 2252917
{'charpoly_factorization': [[[-2323, -2939, -993, -81, 9, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 61} -
id: 2252918
{'charpoly_factorization': [[[392, -707, 356, -29, -12, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 67} -
id: 2252919
{'charpoly_factorization': [[[-13792, 3792, 912, -184, -6, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 71} -
id: 2252920
{'charpoly_factorization': [[[14726, 8005, -694, -197, 6, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 73} -
id: 2252921
{'charpoly_factorization': [[[-8168, -4891, 1620, -13, -20, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 79} -
id: 2252922
{'charpoly_factorization': [[[2752, 4112, 1024, -120, -12, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 83} -
id: 2252923
{'charpoly_factorization': [[[-55552, 4032, 1792, -144, -12, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 89} -
id: 2252924
{'charpoly_factorization': [[[-1008, 4032, 728, -244, -3, 1], 1]], 'hecke_orbit_code': 135107988854671162, 'p': 97}
-
id: 2252900
-
mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '1850.2.a.be', 'level': 1850, 'portrait': 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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 68470081
{'hecke_orbit_code': 135107988854671162, 'n': 1, 'trace_an': 5} -
id: 68470082
{'hecke_orbit_code': 135107988854671162, 'n': 2, 'trace_an': 5} -
id: 68470083
{'hecke_orbit_code': 135107988854671162, 'n': 3, 'trace_an': 0} -
id: 68470084
{'hecke_orbit_code': 135107988854671162, 'n': 4, 'trace_an': 5} -
id: 68470085
{'hecke_orbit_code': 135107988854671162, 'n': 5, 'trace_an': 0} -
id: 68470086
{'hecke_orbit_code': 135107988854671162, 'n': 6, 'trace_an': 0} -
id: 68470087
{'hecke_orbit_code': 135107988854671162, 'n': 7, 'trace_an': -1} -
id: 68470088
{'hecke_orbit_code': 135107988854671162, 'n': 8, 'trace_an': 5} -
id: 68470089
{'hecke_orbit_code': 135107988854671162, 'n': 9, 'trace_an': 3} -
id: 68470090
{'hecke_orbit_code': 135107988854671162, 'n': 10, 'trace_an': 0} -
id: 68470091
{'hecke_orbit_code': 135107988854671162, 'n': 11, 'trace_an': 3} -
id: 68470092
{'hecke_orbit_code': 135107988854671162, 'n': 12, 'trace_an': 0} -
id: 68470093
{'hecke_orbit_code': 135107988854671162, 'n': 13, 'trace_an': -6} -
id: 68470094
{'hecke_orbit_code': 135107988854671162, 'n': 14, 'trace_an': -1} -
id: 68470095
{'hecke_orbit_code': 135107988854671162, 'n': 15, 'trace_an': 0} -
id: 68470096
{'hecke_orbit_code': 135107988854671162, 'n': 16, 'trace_an': 5} -
id: 68470097
{'hecke_orbit_code': 135107988854671162, 'n': 17, 'trace_an': 9} -
id: 68470098
{'hecke_orbit_code': 135107988854671162, 'n': 18, 'trace_an': 3} -
id: 68470099
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id: 68470100
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Embedded newform data - 1850.2.a.be.1.2