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{'Nk2': 32096, 'analytic_conductor': 64.07196258187538, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [17, -1], [59, 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': [8024, 1, [2007, 4013, 3777, 3129], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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': [[3, [-1, 1]], [5, [10, -3, -4, 1]], [7, [44, -23, -2, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580972376, 'hecke_ring_generator_nbound': 5, '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': '8024.2.a.u', 'level': 8024, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 17, 59], 'level_radical': 2006, 'minimal_twist': '8024.2.a.u', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(1-\\beta _{2})q^{5}+(1-\\beta _{1})q^{7}-2q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8024.2.a', 'trace_display': [0, 3, 4, 2], 'trace_hash': 172188845314222968, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.094', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.900', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.473', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.733', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.680', 'prec': 17}, {'__RealLiteral__': 0, 'data': '240.669', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [3, 0, 3, 0, 4, 0, 2, 0, -6, 0, -2, 0, -11, 0, 4, 0, 3, 0, -2, 0, 2, 0, 1, 0, 7, 0, -15, 0, 13, 0, 19, 0, -2, 0, 10, 0, 6, 0, -11, 0, -12, 0, 12, 0, -8, 0, 4, 0, 29, 0, 3, 0, 18, 0, -36, 0, -2, 0, -3, 0, -16, 0, -4, 0, 2, 0, -15, 0, 1, 0, 14, 0, -6, 0, 7, 0, -16, 0, 12, 0, 3, 0, 23, 0, 4, 0, 13, 0, -16, 0, 0, 0, 19, 0, 14, 0, 35, 0, 4, 0, 35, 0, -20, 0, 10, 0, 25, 0, 8, 0, 6, 0, -6, 0, 18, 0, 22, 0, 2, 0, 35, 0, -12, 0, 30, 0, 11, 0, 12, 0, 8, 0, 6, 0, -20, 0, -19, 0, 23, 0, 4, 0, -26, 0, 8, 0, 29, 0, 17, 0, 26, 0, -6, 0, 42, 0, -11, 0, 18, 0, 8, 0, -5, 0, -36, 0, -16, 0, 18, 0, 4, 0, 30, 0, 68, 0, -3, 0, -25, 0, -21, 0, -16, 0, 8, 0, -2, 0, -10, 0, 14, 0, -8, 0, 2, 0, 5, 0, 16, 0, -15, 0, 50, 0, -66, 0, -2, 0, -32, 0, -20, 0, 14, 0, -8, 0, 20, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, 0, 0], [1, 0, 0], [0, 0, 0], [1, 0, -1], [0, 0, 0], [1, -1, 0], [0, 0, 0], [-2, 0, 0], [0, 0, 0], [0, 0, 2], [0, 0, 0], [-4, 0, -1], [0, 0, 0], [1, 0, -1], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-1, 0, -1], [0, 0, 0], [1, -1, 0], [0, 0, 0], [0, 0, -1], [0, 0, 0], [2, -1, -2], [0, 0, 0], [-5, 0, 0], [0, 0, 0], [5, -1, 1], [0, 0, 0], [6, 0, -1], [0, 0, 0], [0, 0, 2], [0, 0, 0], [3, -2, -3], [0, 0, 0], [2, 0, 0], [0, 0, 0], [-4, 0, -1], [0, 0, 0], [-3, 0, 3], [0, 0, 0], [4, 1, 1], [0, 0, 0], [-2, 0, 2], [0, 0, 0], [2, -1, 1], [0, 0, 0], [8, 1, -4], [0, 0, 0], [1, 0, 0], [0, 0, 0], [5, 1, -2], [0, 0, 0], [-12, 2, 2], [0, 0, 0], [-1, 0, -1], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [-4, -1, 3], [0, 0, 0], [-2, 2, 0], [0, 0, 0], [2, -1, 3], [0, 0, 0], [-6, 1, -2], [0, 0, 0], [0, 0, -1], [0, 0, 0], [4, 0, -2], [0, 0, 0], [-2, 0, 0], [0, 0, 0], [2, -1, -2], [0, 0, 0], [-4, 2, 6], [0, 0, 0], [3, 1, -2], [0, 0, 0], [1, 0, 0], [0, 0, 0], [8, -1, 0], [0, 0, 0], [1, 0, -1], [0, 0, 0], 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[-24, 12, -20], [-52, -2, 10], [13, -8, 9], [-6, 1, -18], [-44, 10, -2], [16, 5, -15], [-14, 5, -14], [34, -10, 16], [-10, 7, -11], [5, 0, 7], [-36, 7, -13], [-52, 0, 3], [48, -4, 0], [-32, 16, -10], [1, 4, -26], [17, 5, 19], [0, -3, -11], [-16, 6, -16], [-32, -1, -16], [11, -4, -6], [-12, -2, 19], [47, 7, 19], [38, 6, 6], [22, -3, -16], [8, 1, -9], [-36, 14, -16], [-32, -3, 7], [20, 3, -1], [28, 8, 0], [0, -14, 8], [24, 5, -4], [19, 1, 15], [-53, -8, -16], [-29, 12, -12], [-13, 5, -2], [68, -1, -2], [4, -6, 14], [9, 9, 17], [34, 4, 8], [-1, 11, 6], [-38, -3, -14], [26, -12, 1], [9, 9, -20], [34, 6, -16], [14, 1, -6], [-19, 12, -17], [-34, -4, 2], [-20, 4, 13], [43, 6, -12], [19, 0, 12], [9, 3, 3], [14, 9, -16], [30, -13, -3], [42, 1, 18], [-19, 3, 21], [-22, -4, 3], [-14, -6, -10], [28, -10, 24], [11, -10, 15], [-83, -2, 1], [-17, -1, -30], [4, -4, 10], [-50, 2, 12], [-23, -6, -25], [0, -14, 22]], 'char_orbit_index': 1, 'field_poly': [-2, -6, -1, 1], 'hecke_orbit_code': 90071992580972376, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, -1], [4, 1, 0]], 'hecke_ring_numerators': [[1, 0, 0], [-4, 0, 1], [-4, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '8024.2.a.u', 'level': 8024, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [17, -1], [59, -1]], 33, 2], [[[2, 1], [17, -1], [59, 1]], 30, 7], [[[2, -1], [17, 1], [59, 1]], 34, 2], [[[2, 1], [17, 1], [59, -1]], 31, 2], [[[2, 1], [17, -1], [59, -1]], 27, 4], [[[2, 1], [17, 1], [59, 1]], 28, 5], [[[2, -1], [17, -1], [59, 1]], 24, 3], [[[2, -1], [17, 1], [59, -1]], 25, 4]], 'ALdims': [28, 31, 30, 27, 34, 25, 24, 33], 'Nk2': 32096, 'analytic_conductor': 64.07196258187538, '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': [8024, 1, [2007, 4013, 3777, 3129], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1073, 'dim': 232, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33562456, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 18, 20, 22, 23, 24, 30, 32, 33], 'label': '8024.2.a', 'level': 8024, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 17, 59], 'level_radical': 2006, 'mf_dim': 1088, 'mf_new_dim': 232, 'num_forms': 29, 'plus_dim': 104, 'prim_orbit_index': 1, 'relative_dim': 232, 'sturm_bound': 2160, 'trace_bound': 7, 'trace_display': [0, 4, -4, 8], 'traces': [232, 0, 4, 0, -4, 0, 8, 0, 224, 0, 0, 0, 8, 0, 0, 0, -4, 0, 8, 0, 16, 0, -8, 0, 232, 0, 16, 0, 12, 0, 24, 0, -32, 0, 0, 0, 8, 0, 8, 0, -24, 0, 32, 0, -44, 0, -24, 0, 216, 0, 12, 0, -8, 0, 8, 0, -32, 0, 0, 0, -32, 0, 0, 0, -24, 0, 32, 0, 40, 0, -56, 0, -8, 0, -12, 0, -8, 0, 40, 0, 224, 0, -40, 0, -4, 0, -24, 0, 40, 0, 88, 0, -8, 0, -16, 0, 32, 0, -40, 0, 16, 0, -16, 0, -32, 0, 36, 0, -24, 0, 96, 0, 24, 0, 24, 0, 120, 0, 0, 0, 176, 0, -8, 0, 48, 0, 0, 0, -40, 0, -56, 0, 32, 0, 0, 0, 8, 0, 76, 0, -16, 0, 104, 0, -24, 0, -68, 0, -8, 0, 80, 0, -12, 0, -48, 0, -8, 0, -16, 0, -32, 0, 68, 0, 168, 0, 8, 0, 192, 0, 0, 0, 72, 0, 128, 0, -4, 0, 8, 0, 52, 0, -24, 0, -32, 0, 0, 0, 152, 0, -56, 0, 40, 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240, 0, -24, 0, 352, 0, 488, 0, 160, 0, -40, 0, -248, 0, 480, 0, 264, 0, -88, 0, 384, 0, 104, 0, -312, 0, 24, 0, 624, 0, 144, 0, -8, 0, -24, 0, -280, 0, -472, 0, 328, 0, -472, 0, 64, 0, 288, 0, -496, 0, -64, 0, 296, 0, 376, 0, 304, 0, 80, 0, 96, 0, -40, 0, -400, 0, 688, 0, -48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '8024.2.a.u', 'source_level': 8024, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '8024.2.a.u', 'target_level': 8024, 'twist_class_label': '8024.2.a.u', 'twist_class_level': 8024, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4637575
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 90071992580972376, 'p': 2}
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id: 4637576
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 90071992580972376, 'p': 3}
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id: 4637577
{'charpoly_factorization': [[[10, -3, -4, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 5}
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id: 4637578
{'charpoly_factorization': [[[44, -23, -2, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 7}
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id: 4637579
{'charpoly_factorization': [[[-32, -32, 2, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 11}
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id: 4637580
{'charpoly_factorization': [[[20, 32, 11, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 13}
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id: 4637581
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 90071992580972376, 'p': 17}
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id: 4637582
{'charpoly_factorization': [[[-4, -7, 2, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 19}
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id: 4637583
{'charpoly_factorization': [[[4, -8, -1, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 23}
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id: 4637584
{'charpoly_factorization': [[[61, 31, -13, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 29}
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id: 4637585
{'charpoly_factorization': [[[-200, 112, -19, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 31}
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id: 4637586
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 90071992580972376, 'p': 37}
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id: 4637587
{'charpoly_factorization': [[[-270, -27, 12, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 41}
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id: 4637588
{'charpoly_factorization': [[[160, 8, -12, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 43}
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id: 4637589
{'charpoly_factorization': [[[64, -20, -4, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 47}
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id: 4637590
{'charpoly_factorization': [[[100, 65, -18, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 53}
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id: 4637591
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 90071992580972376, 'p': 59}
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id: 4637592
{'charpoly_factorization': [[[-512, 8, 16, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 61}
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id: 4637593
{'charpoly_factorization': [[[-32, 32, 15, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 67}
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id: 4637594
{'charpoly_factorization': [[[64, 32, -14, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 71}
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id: 4637595
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 90071992580972376, 'p': 73}
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id: 4637596
{'charpoly_factorization': [[[166, 5, -12, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 79}
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id: 4637597
{'charpoly_factorization': [[[-236, 152, -23, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 83}
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id: 4637598
{'charpoly_factorization': [[[-512, 8, 16, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 89}
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id: 4637599
{'charpoly_factorization': [[[-1492, 400, -35, 1], 1]], 'hecke_orbit_code': 90071992580972376, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '8024.2.a.u', 'level': 8024, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 250164000
{'hecke_orbit_code': 90071992580972376, 'n': 1, 'trace_an': 3}
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id: 250164001
{'hecke_orbit_code': 90071992580972376, 'n': 2, 'trace_an': 0}
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id: 250164002
{'hecke_orbit_code': 90071992580972376, 'n': 3, 'trace_an': 3}
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id: 250164003
{'hecke_orbit_code': 90071992580972376, 'n': 4, 'trace_an': 0}
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id: 250164004
{'hecke_orbit_code': 90071992580972376, 'n': 5, 'trace_an': 4}
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id: 250164005
{'hecke_orbit_code': 90071992580972376, 'n': 6, 'trace_an': 0}
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id: 250164006
{'hecke_orbit_code': 90071992580972376, 'n': 7, 'trace_an': 2}
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id: 250164007
{'hecke_orbit_code': 90071992580972376, 'n': 8, 'trace_an': 0}
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id: 250164008
{'hecke_orbit_code': 90071992580972376, 'n': 9, 'trace_an': -6}
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id: 250164009
{'hecke_orbit_code': 90071992580972376, 'n': 10, 'trace_an': 0}
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id: 250164010
{'hecke_orbit_code': 90071992580972376, 'n': 11, 'trace_an': -2}
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id: 250164011
{'hecke_orbit_code': 90071992580972376, 'n': 12, 'trace_an': 0}
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id: 250164012
{'hecke_orbit_code': 90071992580972376, 'n': 13, 'trace_an': -11}
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id: 250164013
{'hecke_orbit_code': 90071992580972376, 'n': 14, 'trace_an': 0}
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