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mf_newforms • Show schema
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{'Nk2': 1007, 'analytic_conductor': 0.5025584677214334, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 1007, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [1007, 2, [743, 267], [1, 1]], 'cm_discs': [-1007], 'conrey_index': 1006, 'dim': 4, 'field_disc': 1125, 'field_disc_factorization': [[3, 2], [5, 3]], 'field_poly': [1, 4, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, 4, -4, -1, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518204312060911, '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, 1007, 4, -1, 2, -1007]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 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mf_hecke_nf • Show schema
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0]], [267, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [2, 0, 1, 0], [0, 3, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-2, 0, 1, 0], [0, -3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1007.1.d.f', 'level': 1007, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 1007, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.5025584677214334, 'char_conductor': 1007, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [1007, 2, [743, 267], [1, 1]], 'conrey_index': 1006, 'cusp_dim': 14, 'dihedral_dim': 14, 'dim': 14, 'eis_dim': 2, 'eis_new_dim': 2, 'hecke_orbit_code': 206175208431, 'hecke_orbit_dims': [1, 1, 2, 2, 4, 4], 'label': '1007.1.d', 'level': 1007, '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': True, 'level_primes': [19, 53], 'level_radical': 1007, 'mf_dim': 16, 'mf_new_dim': 16, 'num_forms': 6, 'prim_orbit_index': 4, 'relative_dim': 14, 's4_dim': 0, 'sturm_bound': 90, 'trace_bound': 2, 'trace_display': [0, 0, 0, -2], 'traces': [14, 0, 0, 12, 0, -4, -2, 0, 12, 0, -2, 0, 0, 0, 0, 10, -2, 0, 0, 0, 0, 0, 0, -8, 14, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 6, 0, -2, 0, 0, 0, -8, -2, -6, 0, 0, -2, 0, 12, 0, 0, 0, 0, -8, 0, 0, -2, 0, 0, 0, 0, -4, -6, 8, 0, -8, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 10, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -12, 0, 0, -6, 12, 0, -8, 0, 0, 0, -2, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, -4, 0, 12, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -2, -4, 0, -4, -6, 0, 0, 0, 0, -4, -2, 0, 0, 0, -2, 0, 0, 0, 0, -16, 14, 0, 0, -6, 0, 0, -2, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -6, 0, 0, 0, 0, 0, 0, 0, 6, -2, 0, -2, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -16, 0, -4, 0, 0, 0, 0, 0, 0, 12, 0, 0, -6, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 12, 0, 26, 0, 6, 0, 22, 0, 0, 0, 0, 0, 14, 0, -4, 0, 0, 0, 0, -2, 20, 0, 0, -2, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 18, -4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, -4, -8, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 24, -4, 0, 0, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 14, 26, 0, 0, 0, 0, -2, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -16, 0, 0, -4, 0, 0, 14, 0, -4, -6, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, -4, 10, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -6, -4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 14, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 6, 0, -12, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 24, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, -8, -4, 0, -6, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -10, -8, 0, 0, 0, 0, 0, -8, 0, -6, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, -2, 14, 0, -6, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 14, 0, -4, 0, 0, 0, 0, 22, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, -2, 0, 0, -4, -2, 0, 0, 0, -8, -6, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -4, 0, 12, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -2, 0, 8, 0, -4, 0, -2, 0, 0, 0, 0, -12, 0, 0, 0, -4, 0, 0, 0, -4, 0, -12, 0, 0, 0, -10, 0, 0, 0, 0, -2, 26, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -8, 0, -6, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -4, 0, 0, -4, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -8, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -8, 0, 0, 0, 14, -4, 0, 0, 0, 0, -6, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, -2, 0, -8, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, -8, 0, 0, 0, 0, 0, 6, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, -6, -4, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -12, 0, -2, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, -8, 0, 0, -2, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 612652
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1007.1.d.f', 'source_level': 1007, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1007.1.d.e', 'target_level': 1007, 'twist_class_label': '1007.1.d.e', 'twist_class_level': 1007, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 612653
{'conductor': 53, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1007.1.d.f', 'source_level': 1007, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1007.1.d.e', 'target_level': 1007, 'twist_class_label': '1007.1.d.e', 'twist_class_level': 1007, 'twisting_char_label': '53.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 612654
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1007.1.d.f', 'source_level': 1007, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1007.1.d.f', 'target_level': 1007, 'twist_class_label': '1007.1.d.e', 'twist_class_level': 1007, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 612655
{'conductor': 1007, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -1007, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1007.1.d.f', 'source_level': 1007, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1007.1.d.f', 'target_level': 1007, 'twist_class_label': '1007.1.d.e', 'twist_class_level': 1007, 'twisting_char_label': '1007.d', 'twisting_char_orbit': 4, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1589075
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 1]], 'hecke_orbit_code': 22518204312060911, 'p': 2}
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id: 1589076
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 1]], 'hecke_orbit_code': 22518204312060911, 'p': 3}
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id: 1589077
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 5}
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id: 1589078
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 22518204312060911, 'p': 7}
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id: 1589079
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 11}
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id: 1589080
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 13}
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id: 1589081
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 1]], 'hecke_orbit_code': 22518204312060911, 'p': 17}
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id: 1589082
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 19}
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id: 1589083
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 23}
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id: 1589084
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 29}
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id: 1589085
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 1]], 'hecke_orbit_code': 22518204312060911, 'p': 31}
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id: 1589086
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 37}
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id: 1589087
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 22518204312060911, 'p': 41}
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id: 1589088
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 1]], 'hecke_orbit_code': 22518204312060911, 'p': 43}
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id: 1589089
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 22518204312060911, 'p': 47}
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id: 1589090
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 53}
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id: 1589091
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 59}
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id: 1589092
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 61}
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id: 1589093
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 67}
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id: 1589094
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 71}
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id: 1589095
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 73}
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id: 1589096
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 22518204312060911, 'p': 79}
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id: 1589097
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 83}
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id: 1589098
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 89}
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id: 1589099
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518204312060911, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 6, 'label': '1007.1.d.f', 'level': 1007, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 44208793
{'hecke_orbit_code': 22518204312060911, 'n': 1, 'trace_an': 4}
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id: 44208794
{'hecke_orbit_code': 22518204312060911, 'n': 2, 'trace_an': 1}
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id: 44208795
{'hecke_orbit_code': 22518204312060911, 'n': 3, 'trace_an': 1}
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id: 44208796
{'hecke_orbit_code': 22518204312060911, 'n': 4, 'trace_an': 5}
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id: 44208797
{'hecke_orbit_code': 22518204312060911, 'n': 5, 'trace_an': 0}
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id: 44208798
{'hecke_orbit_code': 22518204312060911, 'n': 6, 'trace_an': -1}
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id: 44208799
{'hecke_orbit_code': 22518204312060911, 'n': 7, 'trace_an': -2}
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id: 44208800
{'hecke_orbit_code': 22518204312060911, 'n': 8, 'trace_an': -1}
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id: 44208801
{'hecke_orbit_code': 22518204312060911, 'n': 9, 'trace_an': 5}
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id: 44208802
{'hecke_orbit_code': 22518204312060911, 'n': 10, 'trace_an': 0}
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