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mf_newforms • Show schema
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{'Nk2': 7020, 'analytic_conductor': 14.013745554734708, 'analytic_rank': 1, '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, [4, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416740571, '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.b', '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.b', '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}+(-2+\\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, -2], 'trace_hash': 1671641334369360137, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.002', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • 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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mf_twists_cc • Show schema
Hide schema
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id: 35823150
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1171, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416740571, 'source_is_minimal': False, 'source_label': '1755.2.i.b.1171.1', 'source_level': 1755, 'target_conrey_index': 1171, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416740571, 'target_is_minimal': False, 'target_label': '1755.2.i.b.1171.1', 'target_level': 1755, 'twist_class_label': '585.2.i.b.196.1', 'twist_class_level': 585, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35823151
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1171, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416740571, 'source_is_minimal': False, 'source_label': '1755.2.i.b.1171.1', 'source_level': 1755, 'target_conrey_index': 391, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739401, 'target_is_minimal': True, 'target_label': '585.2.i.b.391.1', 'target_level': 585, 'twist_class_label': '585.2.i.b.196.1', 'twist_class_level': 585, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35823152
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1171, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416740571, 'source_is_minimal': False, 'source_label': '1755.2.i.b.1171.1', 'source_level': 1755, 'target_conrey_index': 196, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739401, 'target_is_minimal': True, 'target_label': '585.2.i.b.196.1', 'target_level': 585, 'twist_class_label': '585.2.i.b.196.1', 'twist_class_level': 585, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35823153
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1171, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416740571, 'source_is_minimal': False, 'source_label': '1755.2.i.b.1171.1', 'source_level': 1755, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562005649, 'target_is_minimal': False, 'target_label': '5265.2.a.m.1.1', 'target_level': 5265, 'twist_class_label': '585.2.i.b.196.1', 'twist_class_level': 585, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35823154
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1171, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416740571, 'source_is_minimal': False, 'source_label': '1755.2.i.b.1171.1', 'source_level': 1755, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543041681, 'target_is_minimal': False, 'target_label': '5265.2.a.e.1.1', 'target_level': 5265, 'twist_class_label': '585.2.i.b.196.1', 'twist_class_level': 585, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35823155
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1171, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504149416740571, 'source_is_minimal': False, 'source_label': '1755.2.i.b.1171.1', 'source_level': 1755, 'target_conrey_index': 586, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416740571, 'target_is_minimal': False, 'target_label': '1755.2.i.b.586.1', 'target_level': 1755, 'twist_class_label': '585.2.i.b.196.1', 'twist_class_level': 585, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2182975
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 2}
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id: 2182976
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416740571, 'p': 3}
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id: 2182977
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 5}
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id: 2182978
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 7}
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id: 2182979
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 11}
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id: 2182980
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 13}
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id: 2182981
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4504149416740571, 'p': 17}
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id: 2182982
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 4504149416740571, 'p': 19}
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id: 2182983
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416740571, 'p': 23}
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id: 2182984
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 29}
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id: 2182985
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 31}
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id: 2182986
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 4504149416740571, 'p': 37}
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id: 2182987
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416740571, 'p': 41}
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id: 2182988
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 43}
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id: 2182989
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 47}
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id: 2182990
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 4504149416740571, 'p': 53}
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id: 2182991
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 59}
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id: 2182992
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 61}
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id: 2182993
{'charpoly_factorization': [[[196, 14, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 67}
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id: 2182994
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504149416740571, 'p': 71}
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id: 2182995
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4504149416740571, 'p': 73}
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id: 2182996
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 79}
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id: 2182997
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 83}
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id: 2182998
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4504149416740571, 'p': 89}
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id: 2182999
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504149416740571, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '1755.2.i.b', 'level': 1755, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 90457000
{'hecke_orbit_code': 4504149416740571, 'n': 1, 'trace_an': 2}
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id: 90457001
{'hecke_orbit_code': 4504149416740571, 'n': 2, 'trace_an': -1}
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id: 90457002
{'hecke_orbit_code': 4504149416740571, 'n': 3, 'trace_an': 0}
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id: 90457003
{'hecke_orbit_code': 4504149416740571, 'n': 4, 'trace_an': 1}
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id: 90457004
{'hecke_orbit_code': 4504149416740571, 'n': 5, 'trace_an': -1}
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id: 90457005
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