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mf_newforms • Show schema
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{'Nk2': 8700, 'analytic_conductor': 17.367462439628483, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [29, -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': [2175, 1, [1451, 2002, 901], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[2, [-1, 1]], [7, [2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052520575, 'hecke_ring_generator_nbound': 1, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2175.2.a.i', 'level': 2175, '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': False, 'level_primes': [3, 5, 29], 'level_radical': 435, 'minimal_twist': '435.2.c.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}-q^{4}+q^{6}-2q^{7}-3q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/2175/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2175.2.a', 'trace_display': [1, 1, 0, -2], 'trace_hash': 590781084754339518, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.984', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.971', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.052', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.928', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [1, 1, 1, -1, 0, 1, -2, -3, 1, 0, 0, -1, 4, -2, 0, -1, 2, 1, 0, 0, -2, 0, 2, -3, 0, 4, 1, 2, 1, 0, 4, 5, 0, 2, 0, -1, 2, 0, 4, 0, 10, -2, 0, 0, 0, 2, 12, -1, -3, 0, 2, -4, -12, 1, 0, 6, 0, 1, 4, 0, 2, 4, -2, 7, 0, 0, 2, -2, 2, 0, -8, -3, 14, 2, 0, 0, 0, 4, 8, 0, 1, 10, -6, 2, 0, 0, 1, 0, 10, 0, -8, -2, 4, 12, 0, 5, 10, -3, 0, 0, 2, 2, -2, -12, 0, -12, 6, -1, -14, 0, 2, 2, 14, 0, 0, -1, 4, 4, -4, 0, -11, 2, 10, -4, 0, -2, 12, -3, 0, 0, -12, 0, 0, 2, 0, -6, -14, 2, -4, 0, 12, -8, 0, -1, 0, 14, -3, -2, -6, 0, -24, 0, 2, 0, 0, -4, 22, 8, -12, 0, -4, 1, -4, -10, 0, -6, 2, 6, 3, 0, 0, 0, 0, 1, 0, 0, 4, 10, -20, 0, 2, -8, 2, -6, 0, 4, 0, -12, -2, 0, 12, 7, 6, 10, 0, 3, -8, 0, -16, 0, 2, 2, -2, -2, 0, -2, 2, -4, 0, 0, -12, 12, -8, 6, 0, -3, -8, -14, 14, 0, 8, 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [1], [-1], [0], [1], [-2], [-3], [1], [0], [0], [-1], [4], [-2], [0], [-1], [2], [1], [0], [0], [-2], [0], [2], [-3], [0], [4], [1], [2], [1], [0], [4], [5], [0], [2], [0], [-1], [2], [0], [4], [0], [10], [-2], [0], [0], [0], [2], [12], [-1], [-3], [0], [2], [-4], [-12], [1], [0], [6], [0], [1], [4], [0], [2], [4], [-2], [7], [0], [0], [2], [-2], [2], [0], [-8], [-3], [14], [2], [0], [0], [0], [4], [8], [0], [1], [10], [-6], [2], [0], [0], [1], [0], [10], [0], [-8], [-2], [4], [12], [0], [5], [10], [-3], [0], [0]], 'ap': [[1], [1], [0], [-2], [0], [4], [2], [0], [2], [1], [4], [2], [10], [0], [12], [-12], [4], [2], [2], [-8], [14], [8], [-6], [10], [10], [2], [-2], [6], [-14], [14], [12], [-12], [-14], [-4], [-6], [-24], [22], [-4], [2], [0], [-20], [2], [12], [6], [-8], [-16], [-12], [-18], [-6], [-22], [20], [24], [30], [0], [8], [16], [26], [-24], [-8], [-6], [-10], [6], [-8], [8], [28], [-6], [8], [2], [-6], [-2], [28], [0], [-24], [4], [20], [18], [2], [20], [-34], [-22], [12], [-22], [0], [-14], [-16], [-24], [-34], [-8], [26], [-30], [0], [36], [14], [-4], [-4], [4], [26], [10], [34], [-2], [-46], [-20], [-28], [14], [4], [6], [42], [36], [-36], [-2], [-28], [40], [18], [36], [-8], [50], [-10], [-18], [-6], [28], [26], [-12], [14], [-18], [-44], [-30], [-6], [0], [-40], [-50], [-40], [20], [-20], [42], [-42], [38], [-30], [-34], [-22], [-30], [44], [-42], [-40], [8], [-34], [20], [-26], [32], [36], [50], [8], [42], [-38], [44], [8], [-48], [24], [14], [-16], [-42], [48], [12], [-48], [60], [-32], [-12], [0], [26], [34], [-18], [20], [-2], [24], [42], [-48], [38], [-28], [-54], [-32], [46], [-28], [-20], [-52], [16], [10], [26], [50], [64], [-30], [-8], [-36], [56], [56], [-26], [-12], [56], [6], [60], [-8], [-54], [6], [48], [-42], [-2], [-36], [16], [60], [-42], [54], [60], [10], [-10], [-56], [12], [-60], [10], [-14], [-18], [-2], [-46], [-22], [-64], [34], [-40], [-14], [22], [-14], [-60], [44], [28], [34], [-60], [-8], [10], [50], [-64], [-54], [-18], [20], [24], [-72], [-52], [14], [50], [-36], [-64], [54], [-12], [-20], [32], [-50], [14], [-72], [10], [-34], [-36], [14], [-20], [-28], [52], [-8], [12], [58], [18], [18], [20], [54], [6], [8], [28], [-14], [-66], [60], [40], [6], [-16], [-12], [-42], [38], [52], [-42], [-8], [-54], [-26], [-8], [72], [10], [-50], [-56], [-54], [18], [-78], [-48], [40], [-34], [-66], [4], [-36], [-76], [-64], [10], [36], [4], [-48], [-8], [-28], [-24], [-26], [-16], [-68], [6], [-50], [-18], [78], [-42], [-46], [56], [-56], [36], [-2], [-44], [-20], [78], [8], [60], [-2], [-4], [-70], [36], [-12], [-46], [40], [-24], [24], [-32], [-46], [-34], [54], [-26], [-50], [38], [-32], [-78], [32], [0], [0], [-6], [-8], [-28], [22], [-92], [16], [-90], [-22], [42], [30], [24], [-60], [54], [54], [36], [50], [32], [92], [-20], [-86], [-54], [-70], [-82], [60], [-12], [-38], [82], [-48], [0], [-4], [-76], [-90], [34], [28], [34], [48], [64], [-26], [-52], [42], [16], [76], [-28], [-20], [-78], [44], [20], [84], [-60], [20], [24], [-46], [-100], [14], [-30], [34], [48], [88], [-42], [32], [56], [-10], [-16], [20], [36], [-60], [50], [84], [-50], [-38], [-4], [-54], [-70], [52], [-94], [2], [-92], [-16], [56], [-84], [-42], [6], [-20], [-32]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 36028797052520575, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2175.2.a.i', 'level': 2175, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 16, 14, 8, 14, 5, 9, 15], 'Nk2': 8700, 'analytic_conductor': 17.367462439628483, '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': [2175, 1, [1451, 2002, 901], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 289, 'dim': 88, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33556607, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '2175.2.a', 'level': 2175, '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': False, 'level_primes': [3, 5, 29], 'level_radical': 435, 'mf_dim': 312, 'mf_new_dim': 88, 'num_forms': 30, 'plus_dim': 29, 'prim_orbit_index': 1, 'relative_dim': 88, 'sturm_bound': 600, 'trace_bound': 7, 'trace_display': [0, -2, 0, 0], 'traces': [88, 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16, -72, 248, 0, 88, 76, 452, 40, 0, 360, 68, -80, -320, 0, 636, 200, -24, 160, 0, -128, 156, 144, -24, 0, 308, -8, -48, 56, 0, 380, 172, 4, 358, 0, 304, -72, 172, 104, 0, -320, 2, 132, 200, 0, -76, 196, -92, -272, 0, 24, 8, -344, -84, 0, -24, -140, 320, -152, 0, 68, -72, 92, 72, 0, -128, -32, 276, -48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 887862
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2175.2.a.i', 'source_level': 2175, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '435.2.c.b', 'target_level': 435, 'twist_class_label': '435.2.c.b', 'twist_class_level': 435, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 887863
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2175.2.a.i', 'source_level': 2175, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1305.2.c.b', 'target_level': 1305, 'twist_class_label': '435.2.c.b', 'twist_class_level': 435, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 887864
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2175.2.a.i', 'source_level': 2175, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2175.2.a.c', 'target_level': 2175, 'twist_class_label': '435.2.c.b', 'twist_class_level': 435, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 887865
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2175.2.a.i', 'source_level': 2175, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2175.2.a.i', 'target_level': 2175, 'twist_class_label': '435.2.c.b', 'twist_class_level': 435, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 887866
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2175.2.a.i', 'source_level': 2175, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '6525.2.a.c', 'target_level': 6525, 'twist_class_label': '435.2.c.b', 'twist_class_level': 435, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 887867
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '2175.2.a.i', 'source_level': 2175, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '6525.2.a.k', 'target_level': 6525, 'twist_class_label': '435.2.c.b', 'twist_class_level': 435, '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: 2471375
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 2}
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id: 2471376
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 3}
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id: 2471377
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 5}
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id: 2471378
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 7}
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id: 2471379
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 11}
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id: 2471380
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 13}
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id: 2471381
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 17}
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id: 2471382
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 19}
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id: 2471383
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 23}
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id: 2471384
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 29}
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id: 2471385
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 31}
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id: 2471386
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 37}
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id: 2471387
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 41}
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id: 2471388
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 43}
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id: 2471389
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 47}
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id: 2471390
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 53}
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id: 2471391
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 59}
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id: 2471392
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 61}
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id: 2471393
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 67}
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id: 2471394
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 71}
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id: 2471395
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 73}
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id: 2471396
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 79}
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id: 2471397
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 83}
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id: 2471398
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 89}
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id: 2471399
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 36028797052520575, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '2175.2.a.i', 'level': 2175, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50495995
{'hecke_orbit_code': 36028797052520575, 'n': 1, 'trace_an': 1}
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id: 50495996
{'hecke_orbit_code': 36028797052520575, 'n': 2, 'trace_an': 1}
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id: 50495997
{'hecke_orbit_code': 36028797052520575, 'n': 3, 'trace_an': 1}
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id: 50495998
{'hecke_orbit_code': 36028797052520575, 'n': 4, 'trace_an': -1}
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id: 50495999
{'hecke_orbit_code': 36028797052520575, 'n': 5, 'trace_an': 0}
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id: 50496000
{'hecke_orbit_code': 36028797052520575, 'n': 6, 'trace_an': 1}
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id: 50496001
{'hecke_orbit_code': 36028797052520575, 'n': 7, 'trace_an': -2}
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id: 50496002
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