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mf_newforms • Show schema
{'Nk2': 8700, 'analytic_conductor': 17.367462439628483, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [29, -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': [2175, 1, [1451, 2002, 901], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 17965413472428, 'field_disc_factorization': [[2, 2], [3, 3], [10909, 1], [15248549, 1]], 'field_poly': [2, 14, -15, -62, 36, 23, -12, -2, 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, [2, -14, -15, 62, 36, -23, -12, 2, 1]], [7, [-2817, -5898, -3428, 270, 667, 44, -45, -2, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599930495, 'hecke_ring_generator_nbound': 2, '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': True, 'label': '2175.2.a.bc', 'level': 2175, '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': [3, 5, 29], 'level_radical': 435, 'minimal_twist': '2175.2.a.bc', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-q^{3}+(2+\\beta _{2})q^{4}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2175.2.a', 'trace_display': [-2, -8, 0, 2], 'trace_hash': 1542605373593709549, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.284', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '150.545', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5016.818', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [8, -2, -8, 12, 0, 2, 2, -3, 8, 0, 6, -12, 6, 9, 0, 32, -12, -2, 0, 0, -2, 3, -14, 3, 0, 18, -8, 14, 8, 0, 8, 2, -6, -13, 0, 12, 4, -26, -6, 0, 2, -9, 2, -15, 0, 24, -12, -32, 38, 0, 12, 49, -4, 2, 0, 58, 0, -2, 18, 0, 12, 4, 2, 21, 0, -3, 26, -81, 14, 0, 24, -3, -14, -22, 0, 0, 26, -18, 10, 0, 8, 48, -40, -14, 0, 8, -8, -10, 34, 0, 26, 18, -8, -43, 0, -2, 30, -29, 6, 0, -16, 13, 28, 40, 0, 36, -8, -12, 50, 0, -4, 83, -22, 26, 0, 12, 6, -8, -6, 0, 20, 54, -2, -54, 0, 9, -4, 30, -2, 0, -22, 15, 20, -51, 0, 30, 14, -24, 16, 0, 12, 28, -30, 32, 0, 20, -38, 40, 58, 0, -6, -22, -12, -115, 0, -49, 30, -48, 4, 0, 24, -2, 42, -58, 0, 60, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'ALdims': [7, 16, 14, 8, 14, 5, 9, 15], 'Nk2': 8700, 'analytic_conductor': 17.367462439628483, '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': [2175, 1, [1451, 2002, 901], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 289, 'dim': 88, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33556607, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '2175.2.a', 'level': 2175, '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': [3, 5, 29], 'level_radical': 435, 'mf_dim': 312, 'mf_new_dim': 88, 'num_forms': 30, 'plus_dim': 29, 'prim_orbit_index': 1, 'relative_dim': 88, 'sturm_bound': 600, 'trace_bound': 7, 'trace_display': [0, -2, 0, 0], 'traces': [88, 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mf_twists_cc • Show schema
-
id: 48666164
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599930495, 'source_is_minimal': True, 'source_label': '2175.2.a.bc.1.1', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599930495, 'target_is_minimal': True, 'target_label': '2175.2.a.bc.1.1', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.1', 'twist_class_level': 2175, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 48666165
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599930495, 'source_is_minimal': True, 'source_label': '2175.2.a.bc.1.1', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 229683581029456253, 'target_is_minimal': False, 'target_label': '6525.2.a.bz.1.8', 'target_level': 6525, 'twist_class_label': '2175.2.a.bc.1.1', 'twist_class_level': 2175, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 48666166
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599930495, 'source_is_minimal': True, 'source_label': '2175.2.a.bc.1.1', 'source_level': 2175, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554131883067519, 'target_is_minimal': False, 'target_label': '2175.2.c.p.349.2', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.1', 'twist_class_level': 2175, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 48666167
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599930495, 'source_is_minimal': True, 'source_label': '2175.2.a.bc.1.1', 'source_level': 2175, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 15, 'target_hecke_orbit_code': 67554131883067519, 'target_is_minimal': False, 'target_label': '2175.2.c.p.349.15', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.1', 'twist_class_level': 2175, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2} -
id: 48666168
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599930495, 'source_is_minimal': True, 'source_label': '2175.2.a.bc.1.1', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 130604389227300991, 'target_is_minimal': True, 'target_label': '2175.2.a.bd.1.8', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.1', 'twist_class_level': 2175, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2} -
id: 48666169
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 126100789599930495, 'source_is_minimal': True, 'source_label': '2175.2.a.bc.1.1', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 225179981402085757, 'target_is_minimal': False, 'target_label': '6525.2.a.by.1.1', 'target_level': 6525, 'twist_class_label': '2175.2.a.bc.1.1', 'twist_class_level': 2175, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
-
id: 48666164
-
mf_hecke_charpolys • Show schema
-
id: 2471875
{'charpoly_factorization': [[[2, -14, -15, 62, 36, -23, -12, 2, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 2} -
id: 2471876
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 126100789599930495, 'p': 3} -
id: 2471877
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 126100789599930495, 'p': 5} -
id: 2471878
{'charpoly_factorization': [[[-2817, -5898, -3428, 270, 667, 44, -45, -2, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 7} -
id: 2471879
{'charpoly_factorization': [[[-1140, 6052, -21, -2382, 265, 238, -36, -6, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 11} -
id: 2471880
{'charpoly_factorization': [[[-10503, 31260, 1746, -7830, 863, 410, -61, -6, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 13} -
id: 2471881
{'charpoly_factorization': [[[18954, 36450, 22599, 2866, -1919, -596, -10, 12, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 17} -
id: 2471882
{'charpoly_factorization': [[[205760, -18016, -43040, 2168, 3212, -64, -99, 0, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 19} -
id: 2471883
{'charpoly_factorization': [[[-14976, -107136, 17920, 15344, -992, -800, -14, 14, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 23} -
id: 2471884
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 126100789599930495, 'p': 29} -
id: 2471885
{'charpoly_factorization': [[[1225792, 180064, -297584, -40448, 11644, 1096, -179, -8, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 31} -
id: 2471886
{'charpoly_factorization': [[[20929536, 2764800, -1354560, -110176, 32416, 1208, -308, -4, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 37} -
id: 2471887
{'charpoly_factorization': [[[-2160, -13248, -14871, 990, 3471, 292, -137, -2, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 41} -
id: 2471888
{'charpoly_factorization': [[[486720, 391872, -150032, -32712, 9520, 674, -195, -2, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 43} -
id: 2471889
{'charpoly_factorization': [[[2390796, -993600, -307269, 100902, 11847, -2088, -188, 12, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 47} -
id: 2471890
{'charpoly_factorization': [[[10368, 256, -18208, 336, 7696, -780, -210, 4, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 53} -
id: 2471891
{'charpoly_factorization': [[[10368, 69120, 83232, -105504, 5736, 2928, -146, -18, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 59} -
id: 2471892
{'charpoly_factorization': [[[386112, 305216, -301520, -74848, 12908, 1988, -211, -12, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 61} -
id: 2471893
{'charpoly_factorization': [[[-48194129, 10574858, 1876916, -461958, -15609, 6144, -85, -26, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 67} -
id: 2471894
{'charpoly_factorization': [[[-16256, -34880, 84384, -5984, -6832, 884, 118, -24, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 71} -
id: 2471895
{'charpoly_factorization': [[[19650816, -7484544, -1030848, 321088, 25952, -3920, -284, 14, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 73} -
id: 2471896
{'charpoly_factorization': [[[2032128, -241920, -570816, -47040, 19584, 1488, -232, -10, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 79} -
id: 2471897
{'charpoly_factorization': [[[-144320256, 8597760, 8345408, 321120, -105376, -8184, 252, 40, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 83} -
id: 2471898
{'charpoly_factorization': [[[-12296640, -38352, 2424369, -327874, -47277, 6952, 82, -34, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 89} -
id: 2471899
{'charpoly_factorization': [[[-9904960, -1554112, 1165312, 16112, -45280, 4286, 117, -30, 1], 1]], 'hecke_orbit_code': 126100789599930495, 'p': 97}
-
id: 2471875
-
mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '2175.2.a.bc', 'level': 2175, 'portrait': 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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 67850623
{'hecke_orbit_code': 126100789599930495, 'n': 1, 'trace_an': 8} -
id: 67850624
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id: 67850625
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id: 67850832
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id: 67850833
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id: 67850835
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id: 67850837
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id: 67850838
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id: 67850839
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id: 67850840
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id: 67850880
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-
id: 67850623
Embedded newform data - 2175.2.a.bc.1.1