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mf_newforms • Show schema
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{'Nk2': 3751, 'analytic_conductor': 19.696074832885447, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [31, 2, [3], [1]], 'cm_discs': [-31], 'conrey_index': 30, 'conrey_indexes': [30], 'dim': 3, 'field_disc': 837, 'field_disc_factorization': [[3, 3], [31, 1]], 'field_poly': [-1, -6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-13425, -3072, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 68904026143, 'hecke_ring_generator_nbound': 5, '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, 31, 2, -1, 2, -31]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '31.11.b.a', 'level': 31, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [31], 'level_radical': 31, 'minimal_twist': '31.11.b.a', 'nf_label': '3.3.837.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(-15\\beta _{1}+14\\beta _{2})q^{2}+(2^{10}-644\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '10.2.1.d2', 'self_twist_discs': [-31], 'self_twist_type': 1, 'space_label': '31.11.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 185519249785160604, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.766', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.322', 'prec': 17}, {'__RealLiteral__': 0, 'data': '73.194', 'prec': 20}, {'__RealLiteral__': 0, 'data': '10.641', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2155.990', 'prec': 27}], 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, -15, 14], [0, 0, 0], [1024, -644, -167], [0, -1323, -1097], [0, 0, 0], [0, -3835, -7489], [13425, -15360, 14336], [59049, 0, 0], [-45551, -19492, 50561], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-550023, 12444, 267217], [0, 0, 0], [1048576, -201375, 187950], [0, 0, 0], [0, -885735, 826686], [0, -1316531, -668033], [5801049, 683265, -637714], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [9765625, 7008733, -656489], [0, 0, 0], [0, 0, 0], [25347625, 8250345, -7700322], [0, 0, 0], [0, 0, 0], [-28629151, 0, 0], [13747200, -8645700, -2241975], [0, 0, 0], [0, 0, 0], [100133226, 36445317, -11357161], [60466176, -38027556, -9861183], [0, 0, 0], [-4238775, -26174340, 38452889], [0, 0, 0], [-46644224, -37721083, 37047239], [0, 9634581, 56334383], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, -78121827, -64776753], [0, 0, 0], [-458037150, 0, 0], [0, 0, 0], [282475249, 170966381, -97463017], [-386081151, 60263973, 49969447], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [0, 0, 0], [-563223552, 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mf_newspaces • Show schema
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{'Nk2': 3751, 'analytic_conductor': 19.696074832885447, 'char_conductor': 31, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [31, 2, [3], [1]], 'conrey_index': 30, 'cusp_dim': 25, 'dim': 25, 'eis_dim': 2, 'eis_new_dim': 2, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 68904026143, 'hecke_orbit_dims': [3, 22], 'label': '31.11.b', 'level': 31, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [31], 'level_radical': 31, 'mf_dim': 27, 'mf_new_dim': 27, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 25, 'sturm_bound': 29, 'trace_bound': 1, 'trace_display': [-2, 0, 3304, 19916], 'traces': [25, -2, 0, 10042, 3304, 0, 19916, 15785, -442795, -256777, 0, 0, 0, 377483, 0, -559566, 0, -3706238, -10891488, -5642505, 0, 0, 0, 0, 79609753, 0, 0, 45673811, 0, 0, -1572171, -20692602, 52419828, 0, 169531130, -394732410, 0, 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mf_twists_nf • Show schema
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id: 25072
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 3, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '31.11.b.a', 'source_level': 31, 'target_char_orbit': 2, 'target_dim': 3, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '31.11.b.a', 'target_level': 31, 'twist_class_label': '31.11.b.a', 'twist_class_level': 31, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 11}
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id: 25073
{'conductor': 31, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -31, 'source_char_orbit': 2, 'source_dim': 3, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '31.11.b.a', 'source_level': 31, 'target_char_orbit': 2, 'target_dim': 3, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '31.11.b.a', 'target_level': 31, 'twist_class_label': '31.11.b.a', 'twist_class_level': 31, 'twisting_char_label': '31.b', 'twisting_char_orbit': 2, 'weight': 11}
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mf_hecke_charpolys • Show schema
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id: 114900
{'charpoly_factorization': [[[-13425, -3072, 0, 1], 1]], 'hecke_orbit_code': 68904026143, 'p': 2}
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id: 114901
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 3}
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id: 114902
{'charpoly_factorization': [[[38148912726, -29296875, 0, 1], 1]], 'hecke_orbit_code': 68904026143, 'p': 5}
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id: 114903
{'charpoly_factorization': [[[-2309983432850, -847425747, 0, 1], 1]], 'hecke_orbit_code': 68904026143, 'p': 7}
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id: 114904
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 11}
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id: 114905
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 13}
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id: 114906
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 17}
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id: 114907
{'charpoly_factorization': [[[29124108786553380902, -18393198773403, 0, 1], 1]], 'hecke_orbit_code': 68904026143, 'p': 19}
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id: 114908
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 23}
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id: 114909
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 29}
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id: 114910
{'charpoly_factorization': [[[28629151, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 31}
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id: 114911
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 37}
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id: 114912
{'charpoly_factorization': [[[2371858500083286371982798, -40267977930457203, 0, 1], 1]], 'hecke_orbit_code': 68904026143, 'p': 41}
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id: 114913
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 43}
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id: 114914
{'charpoly_factorization': [[[458037150, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 47}
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id: 114915
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 53}
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id: 114916
{'charpoly_factorization': [[[-724897658811798899508284202, -1533350259901924203, 0, 1], 1]], 'hecke_orbit_code': 68904026143, 'p': 59}
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id: 114917
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 61}
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id: 114918
{'charpoly_factorization': [[[-985211050, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 67}
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id: 114919
{'charpoly_factorization': [[[-10470557909797741648290338898, -9765730653029643603, 0, 1], 1]], 'hecke_orbit_code': 68904026143, 'p': 71}
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id: 114920
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 73}
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id: 114921
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 79}
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id: 114922
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 83}
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id: 114923
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68904026143, 'p': 89}
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id: 114924
{'charpoly_factorization': [[[-968725575598408671469629080450, -221227238068478478147, 0, 1], 1]], 'hecke_orbit_code': 68904026143, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '31.11.b.a', 'level': 31, 'portrait': 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', 'weight': 11}
-
mf_hecke_traces • Show schema
Hide schema
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id: 19806000
{'hecke_orbit_code': 68904026143, 'n': 1, 'trace_an': 3}
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id: 19806001
{'hecke_orbit_code': 68904026143, 'n': 2, 'trace_an': 0}
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id: 19806002
{'hecke_orbit_code': 68904026143, 'n': 3, 'trace_an': 0}
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id: 19806003
{'hecke_orbit_code': 68904026143, 'n': 4, 'trace_an': 3072}
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