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mf_newforms • Show schema
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{'Nk2': 788, 'analytic_conductor': 1.5730529198192236, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 197, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 14, 'char_parity': 1, 'char_values': [197, 14, [2], [13]], 'cm_discs': [], 'conrey_index': 6, 'dim': 6, 'field_disc': -16807, 'field_disc_factorization': [[-1, 1], [7, 5]], 'field_poly': [1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 14, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [7, -7, 0, 7, 0, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461573, '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, 197, 5, 1, 14, 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': '197.2.e.a', 'level': 197, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [197], 'level_radical': 197, 'minimal_twist': '197.2.e.a', 'nf_label': '6.0.16807.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\zeta_{14}^{4}-\\zeta_{14}^{5})q^{2}+(-1-\\zeta_{14}^{5})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c14', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '197.2.e', 'trace_display': [0, -7, 7, -1], 'trace_hash': 1384114007946770003, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '107.658', 'prec': 24}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 788, 'analytic_conductor': 1.5730529198192236, 'char_conductor': 197, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 14, 'char_parity': 1, 'char_values': [197, 14, [2], [13]], 'conrey_index': 6, 'cusp_dim': 96, 'dim': 96, 'eis_dim': 12, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461573, 'hecke_orbit_dims': [6, 90], 'label': '197.2.e', 'level': 197, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [197], 'level_radical': 197, 'mf_dim': 108, 'mf_new_dim': 108, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 16, 'sturm_bound': 33, 'trace_bound': 1, 'trace_display': [-7, -7, -7, 5], 'traces': [96, -7, -7, 23, -7, -18, 5, -21, 11, 3, -21, -21, -7, 0, 14, -9, -7, -28, -28, 0, -7, 31, -15, -33, -3, 15, -49, -38, 8, -126, 21, 7, 20, 45, -7, 226, -42, -21, 8, 5, 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271, -571, 445, -469, -7, 0, 0, -251, 525, 448, 98, 1064, 147, 385, 0, -91, -658, 175, 111, 336, 422, 0, 554, 574, 0, 521, -119, -872, -252, -125, -232, 917, -266, 197, -19, -252, 91, -141, -273, -707, 574, -254, 468, 861, -188, -203, 265, 0, 609, 227, 0, 980, 441, 885, 133, -1071, -406, 0, -248, 126, 378, -329, -175, 84, 184, 0, 0, -147, -98, 225, -58, 306, 187, -710, 348, -344, 378, -70, 154, -152, 8, 749, 665, -135, -224, 526, -399, -330, -385, 231, 245, 721, 32, -315, 431, 683, -609, 674, -1200, -574, 149, -538, 301, -301, 434, -1, 507, -343, -117, -135, -111, 420, 320, -112, 0, 234, 245, -413, -44, 29, 0, -455, -77, 189, -195, -336, -126, -848, 102, -497, 41, 119, -252, 1488, -42, 798, 77, -301, 336, -385, 460, -357, -224, 82, 203, -658, -28, -238, 0, 227], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
-
id: 2451755
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 93, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461573, 'source_is_minimal': True, 'source_label': '197.2.e.a.93.1', 'source_level': 197, 'target_conrey_index': 93, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461573, 'target_is_minimal': True, 'target_label': '197.2.e.a.93.1', 'target_level': 197, 'twist_class_label': '197.2.e.a.93.1', 'twist_class_level': 197, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2451756
{'conductor': 197, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 93, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 274911461573, 'source_is_minimal': True, 'source_label': '197.2.e.a.93.1', 'source_level': 197, 'target_conrey_index': 161, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461573, 'target_is_minimal': True, 'target_label': '197.2.e.a.161.1', 'target_level': 197, 'twist_class_label': '197.2.e.a.93.1', 'twist_class_level': 197, 'twisting_char_label': '197.161', 'twisting_conrey_index': 161, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 494075
{'charpoly_factorization': [[[7, -7, 0, 7, 0, 0, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 2}
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id: 494076
{'charpoly_factorization': [[[7, 21, 35, 35, 21, 7, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 3}
-
id: 494077
{'charpoly_factorization': [[[1183, -91, -77, -21, 21, -7, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 5}
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id: 494078
{'charpoly_factorization': [[[1, 1, 1, -13, 15, 1, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 7}
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id: 494079
{'charpoly_factorization': [[[1183, 91, -77, 21, 21, 7, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 11}
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id: 494080
{'charpoly_factorization': [[[7, -63, 231, 21, 7, 7, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 13}
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id: 494081
{'charpoly_factorization': [[[1183, 91, -77, 21, 21, 7, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 17}
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id: 494082
{'charpoly_factorization': [[[-64, -32, 4, 1], 2]], 'hecke_orbit_code': 274911461573, 'p': 19}
-
id: 494083
{'charpoly_factorization': [[[15625, -9375, 5625, -1625, 275, -25, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 23}
-
id: 494084
{'charpoly_factorization': [[[841, -1595, 1765, -615, 113, -13, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 29}
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id: 494085
{'charpoly_factorization': [[[12943, 17157, 6895, 721, 63, 7, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 31}
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id: 494086
{'charpoly_factorization': [[[1, -83, 2129, -489, 127, -13, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 37}
-
id: 494087
{'charpoly_factorization': [[[6889, 2075, 1521, 601, 151, 19, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 41}
-
id: 494088
{'charpoly_factorization': [[[142129, 62959, 18677, 3543, 421, 29, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 43}
-
id: 494089
{'charpoly_factorization': [[[12769, 113, 6049, 2059, 351, 29, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 47}
-
id: 494090
{'charpoly_factorization': [[[12769, -22487, 13729, -2225, 291, -19, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 53}
-
id: 494091
{'charpoly_factorization': [[[841, -2987, 2965, 841, 177, 11, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 59}
-
id: 494092
{'charpoly_factorization': [[[8281, -10829, 5537, -1309, 273, -21, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 61}
-
id: 494093
{'charpoly_factorization': [[[112903, 77343, 25347, 4585, 525, 35, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 67}
-
id: 494094
{'charpoly_factorization': [[[7, 63, 763, -77, -21, 7, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 71}
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id: 494095
{'charpoly_factorization': [[[109375, 65625, 21875, 4375, 525, 35, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 73}
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id: 494096
{'charpoly_factorization': [[[1183, -2821, 7175, -2681, 455, -35, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 79}
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id: 494097
{'charpoly_factorization': [[[216, -72, -6, 1], 2]], 'hecke_orbit_code': 274911461573, 'p': 83}
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id: 494098
{'charpoly_factorization': [[[48223, 14525, 2667, 749, 175, 21, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 89}
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id: 494099
{'charpoly_factorization': [[[253009, 100097, 29017, 4985, 585, 37, 1], 1]], 'hecke_orbit_code': 274911461573, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '197.2.e.a', 'level': 197, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 7461168
{'hecke_orbit_code': 274911461573, 'n': 1, 'trace_an': 6}
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id: 7461169
{'hecke_orbit_code': 274911461573, 'n': 2, 'trace_an': 0}
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id: 7461170
{'hecke_orbit_code': 274911461573, 'n': 3, 'trace_an': -7}
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