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{'Nk2': 9120, 'analytic_conductor': 18.20589166085193, 'analytic_rank': 1, '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': [2280, 1, [1711, 1141, 761, 457, 1921], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [6, 6, 1]], [11, [-26, 2, 1]], [13, [6, 6, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071484648, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': '2280.2.a.q', 'level': 2280, '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': '2280.2.a.q', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+(-3+\\beta )q^{7}+q^{9}+(-1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2280.2.a', 'trace_display': [0, 2, 2, -6], 'trace_hash': 1788713455937935544, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.964', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.428', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.697', 'prec': 17}, {'__RealLiteral__': 0, 'data': '61.987', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, 'traces': [2, 0, 2, 0, 2, 0, -6, 0, 2, 0, -2, 0, -6, 0, 2, 0, 0, 0, 2, 0, -6, 0, -12, 0, 2, 0, 2, 0, -10, 0, -4, 0, -2, 0, -6, 0, 2, 0, -6, 0, 6, 0, -6, 0, 2, 0, -20, 0, 10, 0, 0, 0, 0, 0, -2, 0, 2, 0, -12, 0, 4, 0, -6, 0, -6, 0, -16, 0, -12, 0, 4, 0, -12, 0, 2, 0, -12, 0, -16, 0, 2, 0, 24, 0, 0, 0, -10, 0, 2, 0, 12, 0, -4, 0, 2, 0, -14, 0, -2, 0, 0, 0, 0, 0, -6, 0, -8, 0, 0, 0, 2, 0, 12, 0, -12, 0, -6, 0, 24, 0, 34, 0, 6, 0, 2, 0, -16, 0, -6, 0, -10, 0, -6, 0, 2, 0, 4, 0, -28, 0, -20, 0, 24, 0, -10, 0, 10, 0, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 36, 0, 26, 0, -2, 0, 8, 0, -2, 0, 2, 0, 4, 0, -6, 0, -12, 0, 36, 0, 16, 0, 4, 0, 2, 0, -72, 0, -6, 0, -30, 0, -34, 0, -6, 0, 16, 0, -12, 0, -16, 0, 48, 0, 6, 0, -12, 0, -2, 0, 0, 0, 4, 0, -6, 0, 12, 0, -12, 0, -24, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [-3, 1], [0, 0], [1, 0], [0, 0], [-1, -3], [0, 0], [-3, -1], [0, 0], [1, 0], [0, 0], [0, 4], [0, 0], [1, 0], [0, 0], [-3, 1], [0, 0], [-6, 0], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [-5, 3], [0, 0], [-2, 0], [0, 0], [-1, -3], [0, 0], [-3, 1], [0, 0], [1, -1], [0, 0], [-3, -1], [0, 0], [3, -5], [0, 0], [-3, 1], [0, 0], [1, 0], [0, 0], [-10, 0], [0, 0], [5, -6], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [-1, -3], [0, 0], [1, 0], [0, 0], [-6, 2], [0, 0], [2, -2], [0, 0], [-3, 1], [0, 0], [-3, -1], [0, 0], [-8, 4], [0, 0], [-6, 0], [0, 0], [2, -6], [0, 0], [-6, -4], [0, 0], [1, 0], [0, 0], [-6, 8], [0, 0], [-8, 0], [0, 0], [1, 0], [0, 0], [12, 2], [0, 0], [0, 4], [0, 0], [-5, 3], [0, 0], [1, 5], [0, 0], [6, 0], [0, 0], [-2, 0], [0, 0], [1, 0], [0, 0], [-7, -5], [0, 0], [-1, -3], [0, 0]], 'ap': [[0, 0], [1, 0], [1, 0], [-3, 1], [-1, -3], [-3, -1], [0, 4], [1, 0], [-6, 0], [-5, 3], [-2, 0], [1, -1], [3, -5], [-3, 1], [-10, 0], [0, 0], 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[35, 33], [-59, -5], [-68, 0], [56, -28], [-14, 14], [30, 0], [14, 0], [-36, -4], [4, 12], [70, 20], [40, 12], [-29, 15], [3, 33], [34, 32], [72, 4], [-17, -27], [18, -6], [-20, 36], [-62, 0], [-58, -6], [23, -47]], 'char_orbit_index': 1, 'field_poly': [-3, 0, 1], 'hecke_orbit_code': 72057594071484648, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2280.2.a.q', 'level': 2280, '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]], 2, 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]], 1, 1], [[[2, 1], [3, -1], [5, -1], [19, 1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [19, 1]], 3, 2], [[[2, -1], [3, 1], [5, -1], [19, 1]], 3, 1], [[[2, 1], [3, 1], [5, 1], [19, 1]], 2, 1], [[[2, -1], [3, 1], [5, -1], [19, -1]], 2, 2], [[[2, 1], [3, 1], [5, 1], [19, -1]], 3, 1], [[[2, 1], [3, -1], [5, -1], [19, -1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [19, -1]], 1, 1], [[[2, -1], [3, -1], [5, 1], [19, -1]], 3, 2], [[[2, 1], [3, -1], [5, 1], [19, 1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [19, 1]], 2, 2], [[[2, -1], [3, -1], [5, 1], [19, 1]], 2, 1]], 'ALdims': [2, 3, 3, 1, 3, 1, 1, 4, 2, 2, 3, 2, 2, 3, 2, 2], 'Nk2': 9120, 'analytic_conductor': 18.20589166085193, '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': [2280, 1, [1711, 1141, 761, 457, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 465, 'dim': 36, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33556712, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '2280.2.a', 'level': 2280, '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': 496, 'mf_new_dim': 36, 'num_forms': 21, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, -48, 0, 36, 0, 16, 0, 0, 0, 8, 0, 4, 0, -32, 0, 8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 24, 0, 0, 0, 32, 0, -40, 0, 36, 0, 48, 0, 8, 0, 0, 0, 48, 0, 48, 0, 16, 0, 0, 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-80, 0, 0, 0, 8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 907524
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '2280.2.a.q', 'source_level': 2280, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '2280.2.a.q', 'target_level': 2280, 'twist_class_label': '2280.2.a.q', 'twist_class_level': 2280, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 907525
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '2280.2.a.q', 'source_level': 2280, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '4560.2.a.bi', 'target_level': 4560, 'twist_class_label': '2280.2.a.q', 'twist_class_level': 2280, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 907526
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '2280.2.a.q', 'source_level': 2280, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '6840.2.a.v', 'target_level': 6840, 'twist_class_label': '2280.2.a.q', 'twist_class_level': 2280, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2535200
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057594071484648, 'p': 2}
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id: 2535201
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 72057594071484648, 'p': 3}
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id: 2535202
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 72057594071484648, 'p': 5}
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id: 2535203
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 7}
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id: 2535204
{'charpoly_factorization': [[[-26, 2, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 11}
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id: 2535205
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 13}
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id: 2535206
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 17}
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id: 2535207
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 72057594071484648, 'p': 19}
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id: 2535208
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 72057594071484648, 'p': 23}
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id: 2535209
{'charpoly_factorization': [[[-2, 10, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 29}
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id: 2535210
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 72057594071484648, 'p': 31}
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id: 2535211
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 37}
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id: 2535212
{'charpoly_factorization': [[[-66, -6, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 41}
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id: 2535213
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 43}
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id: 2535214
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 72057594071484648, 'p': 47}
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id: 2535215
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057594071484648, 'p': 53}
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id: 2535216
{'charpoly_factorization': [[[24, 12, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 59}
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id: 2535217
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 61}
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id: 2535218
{'charpoly_factorization': [[[16, 16, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 67}
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id: 2535219
{'charpoly_factorization': [[[-104, -4, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 71}
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id: 2535220
{'charpoly_factorization': [[[-12, 12, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 73}
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id: 2535221
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 72057594071484648, 'p': 79}
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id: 2535222
{'charpoly_factorization': [[[132, -24, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 83}
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id: 2535223
{'charpoly_factorization': [[[-74, -2, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 89}
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id: 2535224
{'charpoly_factorization': [[[-26, 14, 1], 1]], 'hecke_orbit_code': 72057594071484648, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '2280.2.a.q', 'level': 2280, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 237738000
{'hecke_orbit_code': 72057594071484648, 'n': 1, 'trace_an': 2}
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id: 237738001
{'hecke_orbit_code': 72057594071484648, 'n': 2, 'trace_an': 0}
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id: 237738002
{'hecke_orbit_code': 72057594071484648, 'n': 3, 'trace_an': 2}
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id: 237738003
{'hecke_orbit_code': 72057594071484648, 'n': 4, 'trace_an': 0}
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id: 237738991
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id: 237738999
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