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{'Nk2': 6840, 'analytic_conductor': 13.654418745638946, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [19, 1]], 'atkin_lehner_string': '-+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1710, 1, [191, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-16, -2, 1]], [11, [-2, 1]], [13, [-4, 1]], [53, [-52, -8, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463077550, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1710.2.a.x', 'level': 1710, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '1710.2.a.v', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{5}+(1+\\beta )q^{7}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1710.2.a', 'trace_display': [2, 0, -2, 2], 'trace_hash': 1146579671339902633, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.070', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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[64, -8]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 103582791463077550, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '1710.2.a.x', 'level': 1710, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [19, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [19, 1]], 2, 1], [[[2, 1], [3, 1], [5, -1], [19, -1]], 1, 1], [[[2, 1], [3, -1], [5, -1], [19, 1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [19, 1]], 2, 1], [[[2, -1], [3, 1], [5, -1], [19, 1]], 1, 1], [[[2, 1], [3, 1], [5, 1], [19, 1]], 1, 1], [[[2, -1], [3, 1], [5, -1], [19, -1]], 2, 1], [[[2, 1], [3, 1], [5, 1], [19, -1]], 2, 1], [[[2, 1], [3, -1], [5, -1], [19, -1]], 3, 3], [[[2, 1], [3, -1], [5, 1], [19, -1]], 3, 3], [[[2, -1], [3, -1], [5, 1], [19, -1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [19, 1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [19, 1]], 3, 3], [[[2, -1], [3, -1], [5, 1], [19, 1]], 3, 2]], 'ALdims': [1, 2, 2, 1, 2, 3, 1, 3, 2, 1, 1, 2, 3, 2, 3, 1], 'Nk2': 6840, 'analytic_conductor': 13.654418745638946, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1710, 1, [191, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 345, 'dim': 30, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 53], 'hecke_orbit_code': 33556142, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2], 'label': '1710.2.a', 'level': 1710, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 376, 'mf_new_dim': 30, 'num_forms': 25, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 30, 'sturm_bound': 720, 'trace_bound': 13, 'trace_display': [0, 0, -2, 0], 'traces': [30, 0, 0, 30, -2, 0, 0, 0, 0, 0, 0, 0, 8, -4, 0, 30, 0, 0, 0, -2, 0, 0, -16, 0, 30, -16, 0, 0, -4, 0, -8, 0, 0, -8, 4, 0, -16, -6, 0, 0, -4, 0, -20, 0, 0, -12, 20, 0, 50, 0, 0, 8, 16, 0, -24, -4, 0, -20, 48, 0, -12, -8, 0, 30, 0, 0, 0, 0, 0, 12, 8, 0, -8, 12, 0, 0, 0, 0, 0, -2, 0, 16, 36, 0, 36, -12, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 793903
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': True, 'source_label': '1710.2.a.x', 'source_level': 1710, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': True, 'target_label': '1710.2.a.v', 'target_level': 1710, 'twist_class_label': '1710.2.a.v', 'twist_class_level': 1710, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 793904
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': True, 'source_label': '1710.2.a.x', 'source_level': 1710, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': True, 'target_label': '1710.2.a.x', 'target_level': 1710, 'twist_class_label': '1710.2.a.v', 'twist_class_level': 1710, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 793905
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': True, 'source_label': '1710.2.a.x', 'source_level': 1710, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '8550.2.a.bp', 'target_level': 8550, 'twist_class_label': '1710.2.a.v', 'twist_class_level': 1710, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 793906
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': True, 'source_label': '1710.2.a.x', 'source_level': 1710, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '8550.2.a.bx', 'target_level': 8550, 'twist_class_label': '1710.2.a.v', 'twist_class_level': 1710, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2138025
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 2}
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id: 2138026
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 3}
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id: 2138027
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 5}
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id: 2138028
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 7}
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id: 2138029
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 11}
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id: 2138030
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 13}
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id: 2138031
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 17}
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id: 2138032
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 19}
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id: 2138033
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 23}
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id: 2138034
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 29}
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id: 2138035
{'charpoly_factorization': [[[8, -10, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 31}
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id: 2138036
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 37}
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id: 2138037
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 41}
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id: 2138038
{'charpoly_factorization': [[[-64, -4, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 43}
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id: 2138039
{'charpoly_factorization': [[[-64, -4, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 47}
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id: 2138040
{'charpoly_factorization': [[[-52, -8, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 53}
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id: 2138041
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 59}
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id: 2138042
{'charpoly_factorization': [[[-52, -8, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 61}
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id: 2138043
{'charpoly_factorization': [[[-64, 4, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 67}
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id: 2138044
{'charpoly_factorization': [[[-64, 4, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 71}
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id: 2138045
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 73}
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id: 2138046
{'charpoly_factorization': [[[8, -10, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 79}
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id: 2138047
{'charpoly_factorization': [[[104, -22, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 83}
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id: 2138048
{'charpoly_factorization': [[[-152, -2, 1], 1]], 'hecke_orbit_code': 103582791463077550, 'p': 89}
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id: 2138049
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 103582791463077550, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '1710.2.a.x', 'level': 1710, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255136000
{'hecke_orbit_code': 103582791463077550, 'n': 1, 'trace_an': 2}
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id: 255136001
{'hecke_orbit_code': 103582791463077550, 'n': 2, 'trace_an': 2}
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id: 255136002
{'hecke_orbit_code': 103582791463077550, 'n': 3, 'trace_an': 0}
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id: 255136003
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{'hecke_orbit_code': 103582791463077550, 'n': 993, 'trace_an': 0}
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id: 255136993
{'hecke_orbit_code': 103582791463077550, 'n': 994, 'trace_an': -72}
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id: 255136994
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id: 255136995
{'hecke_orbit_code': 103582791463077550, 'n': 996, 'trace_an': 0}
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id: 255136996
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id: 255136997
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id: 255136998
{'hecke_orbit_code': 103582791463077550, 'n': 999, 'trace_an': 0}
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id: 255136999
{'hecke_orbit_code': 103582791463077550, 'n': 1000, 'trace_an': -2}