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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, -1], [13, 1]], 'atkin_lehner_string': '++-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4368, 1, [3823, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_indexes': [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': [[5, [0, 1]], [11, [-2, 1]], [17, [2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797781776, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4368.2.a.g', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '2184.2.a.k', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{7}+q^{9}+2q^{11}-q^{13}-2q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/4368/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4368.2.a', 'trace_display': [0, -1, 0, 1], 'trace_hash': 1876361856627511688, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.807', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [0], [0], [1], [0], [1], [0], [2], [0], [-1], [0], [0], [0], [-2], [0], [0], [0], [-1], [0], [8], [0], [-5], [0], [-1], [0], [2], [0], [4], [0], [-2], [0], [0], [0], [6], [0], [1], [0], [-8], [0], [4], [0], [0], [0], [-6], [0], [1], [0], [2], [0], [-2], [0], [0], [0], [0], [0], [2], [0], [2], [0], [1], [0], [0], [0], [4], [0], [-8], [0], [6], [0], [-2], [0], [5], [0], [2], [0], [0], [0], [1], [0], [6], [0], [0], [0], [-2], [0], [4], [0], [-1], [0], [-4], [0], [0], [0], [-2], [0], [2], [0]], 'ap': [[0], [-1], [0], [1], [2], [-1], [-2], [0], [8], [2], [4], [6], [-8], [4], [-6], [-2], [2], [2], [4], [6], [-2], [0], [6], [4], [-2], [-2], [0], [12], [2], [-2], [-16], [8], [12], [4], [0], [-12], [-2], [-8], [18], [6], [24], [-2], [12], [18], [-4], [8], [4], [4], [-6], [18], [22], [-2], [14], [16], [-14], [16], [6], [-16], [30], [-4], [-4], [4], [28], [12], [14], [20], [-20], [-2], [24], [-18], [0], [6], [-8], [26], [16], [-26], [-18], [-10], [24], [14], [0], [10], [18], [-26], [-32], [-4], [8], [-10], [0], [-40], [40], [-2], [-20], [-28], [-4], [-12], [-24], [18], [-20], [26], [4], [24], [44], [6], [-4], [10], [6], [20], [0], [-34], [8], [-26], [4], [36], [-36], [10], [-12], [-8], [-14], [-48], [-50], [2], [26], [-22], [-4], [-18], [26], [-20], [16], [-6], [28], [6], [-40], [-6], [-24], [-54], [-44], [28], [-46], [-42], [-16], [-24], [32], [10], [-14], [14], [-26], [2], [-28], [-6], [46], [-14], [-28], [8], [4], [-36], [-16], [24], [6], [44], [30], [6], [4], [36], [8], [-42], [40], [-42], [-42], [-42], [-2], [-42], [0], [46], [56], [-18], [36], [-24], [0], [-22], [32], [52], [-38], [-28], [30], [10], [-2], [-8], [-58], [-38], [-46], [-6], [-20], [-12], [56], [-46], [10], [18], [68], [-48], [12], [64], [-54], [-46], [-6], [-38], [-20], [12], [-24], [52], [14], [-38], [40], [22], [38], [-38], [-24], [6], [-10], [8], [22], [0], [56], [-20], [-16], [-26], [22], [-24], [48], [-18], [46], [60], [48], [-6], [-4], [-6], [-34], [32], [-40], [-24], [2], [-44], [-64], [-34], [68], [-20], [32], [26], [48], [-32], [66], [0], [18], [-10], [6], [-14], [10], [56], [-22], [2], [-64], [-56], [50], [-34], [36], [20], [-60], [32], [20], [-78], [42], [-60], [22], [40], [14], [-16], [30], [-2], [-38], [24], [-32], [56], [-24], [-66], [12], [12], [62], [16], [4], [82], [-2], [12], [-24], [10], [62], [10], [-80], [-46], [-60], [44], [-6], [60], [-80], [40], [-20], [-42], [48], [70], [66], [-30], [36], [36], [62], [-44], [22], [-10], [-86], [2], [-26], [18], [-4], [34], [-30], [76], [72], [-50], [56], [-68], [12], [-30], [10], [-54], [-24], [-50], [-48], [-42], [38], [0], [30], [-56], [-2], [-50], [-20], [-40], [-4], [32], [-70], [16], [-30], [74], [-12], [-10], [-72], [8], [26], [74], [90], [-94], [-90], [-70], [-26], [-42], [-32], [-66], [12], [-38], [96], [-60], [10], [12], [76], [-26], [-58], [40], [-34], [46], [-52], [74], [22], [50], [-36], [12], [56], [24], [0], [46], [-8], [42], [-40], [12], [6], [-36], [26], [-36], [62], [70], [88], [30], [76], [-36], [78], [10], [24], [-12], [0], [-8], [18], [-80], [84], [-42], [18], [-66], [-24], [12], [34], [10], [54], [-32], [100], [36], [-62], [-26], [-18], [-40], [18], [-84], [60], [-72], [-88], [-56]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797781776, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4368.2.a.g', 'level': 4368, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [13, -1]], 5, 2], [[[2, 1], [3, -1], [7, 1], [13, 1]], 6, 5], [[[2, 1], [3, 1], [7, 1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, -1], [13, 1]], 3, 3], [[[2, -1], [3, 1], [7, -1], [13, -1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [7, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [7, 1], [13, -1]], 2, 2], [[[2, 1], [3, -1], [7, -1], [13, 1]], 3, 2], [[[2, 1], [3, 1], [7, -1], [13, 1]], 3, 2], [[[2, -1], [3, -1], [7, -1], [13, 1]], 5, 3], [[[2, -1], [3, 1], [7, 1], [13, -1]], 5, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [3, 1], [7, 1], [13, 1]], 4, 3]], 'Nk2': 17472, 'analytic_conductor': 34.87865560289527, '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': [4368, 1, [3823, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 873, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33558800, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4], 'label': '4368.2.a', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 920, 'mf_new_dim': 72, 'num_forms': 45, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1792, 'trace_bound': 11, 'trace_display': [0, 0, 0, -4], 'traces': [72, 0, 0, 0, 0, 0, -4, 0, 72, 0, -8, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -8, 0, 72, 0, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, -16, 0, 16, 0, -16, 0, 0, 0, 0, 0, 32, 0, -4, 0, 0, 0, 16, 0, 32, 0, 40, 0, 0, 0, -16, 0, 16, 0, -24, 0, 72, 0, 48, 0, 16, 0, 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0, 256, 0, -160, 0, -32, 0, 424, 0, -16, 0, -112, 0, 512, 0, -336, 0, 32, 0, -240, 0, 32, 0, 96, 0, 32, 0, -720, 0, 96, 0, -352, 0, 32, 0, -64, 0, 384, 0, -560, 0, 16, 0, 544, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1202461
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '4368.2.a.g', 'source_level': 4368, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '2184.2.a.k', 'target_level': 2184, 'twist_class_label': '2184.2.a.k', 'twist_class_level': 2184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202462
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '4368.2.a.g', 'source_level': 4368, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4368.2.a.g', 'target_level': 4368, 'twist_class_label': '2184.2.a.k', 'twist_class_level': 2184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1202463
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '4368.2.a.g', 'source_level': 4368, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '6552.2.a.l', 'target_level': 6552, 'twist_class_label': '2184.2.a.k', 'twist_class_level': 2184, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3580525
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 2}
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id: 3580526
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 3}
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id: 3580527
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 5}
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id: 3580528
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 7}
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id: 3580529
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 11}
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id: 3580530
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 13}
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id: 3580531
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 17}
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id: 3580532
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 19}
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id: 3580533
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 23}
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id: 3580534
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 29}
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id: 3580535
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 31}
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id: 3580536
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 37}
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id: 3580537
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 41}
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id: 3580538
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 43}
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id: 3580539
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 47}
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id: 3580540
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 53}
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id: 3580541
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 59}
-
id: 3580542
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 61}
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id: 3580543
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 67}
-
id: 3580544
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 71}
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id: 3580545
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 73}
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id: 3580546
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 79}
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id: 3580547
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 83}
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id: 3580548
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 89}
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id: 3580549
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797781776, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '4368.2.a.g', 'level': 4368, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 176849000
{'hecke_orbit_code': 27021597797781776, 'n': 1, 'trace_an': 1}
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id: 176849001
{'hecke_orbit_code': 27021597797781776, 'n': 2, 'trace_an': 0}
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id: 176849002
{'hecke_orbit_code': 27021597797781776, 'n': 3, 'trace_an': -1}
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id: 176849003
{'hecke_orbit_code': 27021597797781776, 'n': 4, 'trace_an': 0}
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id: 176849004
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id: 176849987
{'hecke_orbit_code': 27021597797781776, 'n': 988, 'trace_an': 0}
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id: 176849988
{'hecke_orbit_code': 27021597797781776, 'n': 989, 'trace_an': 32}
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id: 176849989
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id: 176849990
{'hecke_orbit_code': 27021597797781776, 'n': 991, 'trace_an': 40}
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id: 176849991
{'hecke_orbit_code': 27021597797781776, 'n': 992, 'trace_an': 0}
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id: 176849992
{'hecke_orbit_code': 27021597797781776, 'n': 993, 'trace_an': 20}
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id: 176849993
{'hecke_orbit_code': 27021597797781776, 'n': 994, 'trace_an': 0}
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id: 176849994
{'hecke_orbit_code': 27021597797781776, 'n': 995, 'trace_an': 0}
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id: 176849995
{'hecke_orbit_code': 27021597797781776, 'n': 996, 'trace_an': 0}
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id: 176849996
{'hecke_orbit_code': 27021597797781776, 'n': 997, 'trace_an': -42}
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id: 176849997
{'hecke_orbit_code': 27021597797781776, 'n': 998, 'trace_an': 0}
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id: 176849998
{'hecke_orbit_code': 27021597797781776, 'n': 999, 'trace_an': -6}
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id: 176849999
{'hecke_orbit_code': 27021597797781776, 'n': 1000, 'trace_an': 0}