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mf_newforms • Show schema
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{'Nk2': 7020, 'analytic_conductor': 14.013745554734708, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1755, 3, [326, 352, 1081], [2, 3, 3]], 'cm_discs': [], 'conrey_index': 586, 'conrey_indexes': [586, 1171], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 1, 1]], [7, [1, -1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044111067, 'hecke_ring_generator_nbound': 2, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1755.2.i.c', 'level': 1755, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'minimal_twist': '585.2.i.c', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\zeta_{6})q^{2}+\\zeta_{6}q^{4}-\\zeta_{6}q^{5}+(1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1755.2.i', 'trace_display': [-1, 0, -1, 1], 'trace_hash': 1788884207888473133, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.924', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.639', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.103', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 7020, 'analytic_conductor': 14.013745554734708, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1755, 3, [326, 352, 1081], [2, 3, 3]], 'conrey_index': 586, 'cusp_dim': 480, 'dim': 96, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 549789370075, 'hecke_orbit_dims': [2, 2, 2, 2, 16, 16, 26, 30], 'label': '1755.2.i', 'level': 1755, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'mf_dim': 528, 'mf_new_dim': 96, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 504, 'trace_bound': 7, 'trace_display': [-4, 0, -4, 0], 'traces': [96, -4, 0, -48, -4, 0, 0, 24, 0, 0, 4, 0, 0, 24, 0, -48, -24, 0, 24, -12, 0, -12, 12, 0, -48, 0, 0, 0, 12, 0, 0, -68, 0, 0, 0, 0, 0, 24, 0, 12, 8, 0, -12, -112, 0, 0, -40, 0, 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-228, -728, 0, 216, -240, 0, -492, 60, 0, -372, -40, 0, 312, 80, 0, 132, -592, 0, -60, -576, 0, 240, -88, 0, 24, -208, 0, -120, 352, 0, 504, 612, 0, 0, 184, 0, 180, -152, 0, 0, -252, 0, -696, 268, 0, 192, -488, 0, -96, 372, 0, -264, 204, 0, 24, -800, 0, 144, -28], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 803678
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1755.2.i.c', 'source_level': 1755, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '585.2.i.c', 'target_level': 585, 'twist_class_label': '585.2.i.c', 'twist_class_level': 585, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 803679
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1755.2.i.c', 'source_level': 1755, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '585.2.i.c', 'target_level': 585, 'twist_class_label': '585.2.i.c', 'twist_class_level': 585, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 803680
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1755.2.i.c', 'source_level': 1755, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1755.2.i.c', 'target_level': 1755, 'twist_class_label': '585.2.i.c', 'twist_class_level': 585, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 803681
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1755.2.i.c', 'source_level': 1755, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1755.2.i.c', 'target_level': 1755, 'twist_class_label': '585.2.i.c', 'twist_class_level': 585, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 803682
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1755.2.i.c', 'source_level': 1755, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '5265.2.a.d', 'target_level': 5265, 'twist_class_label': '585.2.i.c', 'twist_class_level': 585, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 803683
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1755.2.i.c', 'source_level': 1755, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '5265.2.a.l', 'target_level': 5265, 'twist_class_label': '585.2.i.c', 'twist_class_level': 585, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2183000
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 2}
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id: 2183001
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007749044111067, 'p': 3}
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id: 2183002
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 5}
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id: 2183003
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 7}
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id: 2183004
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 11}
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id: 2183005
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 13}
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id: 2183006
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 9007749044111067, 'p': 17}
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id: 2183007
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007749044111067, 'p': 19}
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id: 2183008
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 23}
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id: 2183009
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 29}
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id: 2183010
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 31}
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id: 2183011
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 9007749044111067, 'p': 37}
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id: 2183012
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 41}
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id: 2183013
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 43}
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id: 2183014
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 47}
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id: 2183015
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 9007749044111067, 'p': 53}
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id: 2183016
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 59}
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id: 2183017
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 61}
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id: 2183018
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 67}
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id: 2183019
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 9007749044111067, 'p': 71}
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id: 2183020
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 9007749044111067, 'p': 73}
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id: 2183021
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 79}
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id: 2183022
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 83}
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id: 2183023
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 9007749044111067, 'p': 89}
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id: 2183024
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007749044111067, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '1755.2.i.c', 'level': 1755, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 120935000
{'hecke_orbit_code': 9007749044111067, 'n': 1, 'trace_an': 2}
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id: 120935001
{'hecke_orbit_code': 9007749044111067, 'n': 2, 'trace_an': -1}
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id: 120935002
{'hecke_orbit_code': 9007749044111067, 'n': 3, 'trace_an': 0}
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id: 120935003
{'hecke_orbit_code': 9007749044111067, 'n': 4, 'trace_an': 1}
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id: 120935004
{'hecke_orbit_code': 9007749044111067, 'n': 5, 'trace_an': -1}
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id: 120935005
{'hecke_orbit_code': 9007749044111067, 'n': 6, 'trace_an': 0}
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id: 120935006
{'hecke_orbit_code': 9007749044111067, 'n': 7, 'trace_an': 1}
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id: 120935007
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{'hecke_orbit_code': 9007749044111067, 'n': 988, 'trace_an': 0}
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id: 120935988
{'hecke_orbit_code': 9007749044111067, 'n': 989, 'trace_an': -48}
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id: 120935989
{'hecke_orbit_code': 9007749044111067, 'n': 990, 'trace_an': 0}
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id: 120935990
{'hecke_orbit_code': 9007749044111067, 'n': 991, 'trace_an': 60}
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id: 120935991
{'hecke_orbit_code': 9007749044111067, 'n': 992, 'trace_an': -40}
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id: 120935992
{'hecke_orbit_code': 9007749044111067, 'n': 993, 'trace_an': 0}
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id: 120935993
{'hecke_orbit_code': 9007749044111067, 'n': 994, 'trace_an': 6}
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id: 120935994
{'hecke_orbit_code': 9007749044111067, 'n': 995, 'trace_an': -20}
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id: 120935995
{'hecke_orbit_code': 9007749044111067, 'n': 996, 'trace_an': 0}
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id: 120935996
{'hecke_orbit_code': 9007749044111067, 'n': 997, 'trace_an': -50}
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id: 120935997
{'hecke_orbit_code': 9007749044111067, 'n': 998, 'trace_an': -40}
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id: 120935998
{'hecke_orbit_code': 9007749044111067, 'n': 999, 'trace_an': 0}
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id: 120935999
{'hecke_orbit_code': 9007749044111067, 'n': 1000, 'trace_an': -6}