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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_index': 1, '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, [-2, 1]], [11, [-4, 1]], [17, [-2, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463080208, '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.x', '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.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4368/x'], '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, 2, -1], 'trace_hash': 1526031841182882158, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.067', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.159', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.150', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.495', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [1, 0, 1, 0, 2, 0, -1, 0, 1, 0, 4, 0, -1, 0, 2, 0, 2, 0, -4, 0, -1, 0, 4, 0, -1, 0, 1, 0, 10, 0, -8, 0, 4, 0, -2, 0, 2, 0, -1, 0, 10, 0, -4, 0, 2, 0, 8, 0, 1, 0, 2, 0, -6, 0, 8, 0, -4, 0, 8, 0, 2, 0, -1, 0, -2, 0, 8, 0, 4, 0, -8, 0, 6, 0, -1, 0, -4, 0, -8, 0, 1, 0, -8, 0, 4, 0, 10, 0, 2, 0, 1, 0, -8, 0, -8, 0, 14, 0, 4, 0, 6, 0, 4, 0, -2, 0, -12, 0, -6, 0, 2, 0, 10, 0, 8, 0, -1, 0, -2, 0, 5, 0, 10, 0, -12, 0, 0, 0, -4, 0, 20, 0, 4, 0, 2, 0, -2, 0, -20, 0, 8, 0, -4, 0, 20, 0, 1, 0, 10, 0, -8, 0, 2, 0, -16, 0, -6, 0, -6, 0, -4, 0, -8, 0, 8, 0, 8, 0, 1, 0, -4, 0, 14, 0, 1, 0, 8, 0, 12, 0, -6, 0, 2, 0, 4, 0, 8, 0, -1, 0, -12, 0, 26, 0, -2, 0, -6, 0, 4, 0, 8, 0, -10, 0, 20, 0, 4, 0, -16, 0, -20, 0, -8, 0, -8, 0, 8, 0, 6, 0, -2, 0, -16, 0, -1, 0, 8, 0, -6, 0, -4, 0, 18, 0, 16, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [2], [0], [-1], [0], [1], [0], [4], [0], [-1], [0], [2], [0], [2], [0], [-4], [0], [-1], [0], [4], [0], [-1], [0], [1], [0], [10], [0], [-8], [0], [4], [0], [-2], [0], [2], [0], [-1], [0], [10], [0], [-4], [0], [2], [0], [8], [0], [1], [0], [2], [0], [-6], [0], [8], [0], [-4], [0], [8], [0], [2], [0], [-1], [0], [-2], [0], [8], [0], [4], [0], [-8], [0], [6], [0], [-1], [0], [-4], [0], [-8], [0], [1], [0], [-8], [0], [4], [0], [10], [0], [2], [0], [1], [0], [-8], [0], [-8], [0], [14], [0], [4], [0]], 'ap': [[0], [1], [2], [-1], [4], [-1], [2], [-4], [4], [10], [-8], [2], [10], [-4], [8], [-6], [8], [2], [8], [-8], [6], [-8], [-8], [2], [14], [6], [4], [-12], [-6], [10], [0], [20], [-2], [-20], [10], [-8], [-6], [-8], [8], [14], [12], [-6], [-12], [26], [-6], [4], [-20], [-16], [8], [-6], [18], [24], [14], [28], [-30], [-4], [6], [0], [-26], [-18], [4], [-30], [12], [0], [10], [2], [-32], [34], [-4], [18], [-30], [-8], [-36], [-18], [16], [24], [-6], [2], [-18], [6], [12], [2], [-32], [-14], [20], [36], [-10], [10], [-6], [16], [12], [-8], [16], [12], [-8], [0], [34], [-38], [12], [-14], [28], [18], [12], [-6], [-12], [-42], [0], [18], [-44], [-14], [-4], [-22], [-18], [28], [-48], [10], [44], [0], [-46], [-36], [-22], [34], [14], [4], [-28], [-6], [-38], [24], [-44], [2], [40], [-32], [-32], [-10], [42], [-50], [-30], [-28], [22], [10], [44], [42], [-40], [12], [-38], [24], [-22], [-54], [-28], [48], [2], [-30], [-4], [-8], [28], [-36], [-40], [18], [-22], [-30], [-20], [-38], [-32], [-28], [-18], [24], [-24], [-38], [50], [6], [-4], [-30], [-36], [-38], [-52], [-38], [32], [-6], [-28], [2], [48], [-36], [-58], [-22], [8], [62], [38], [12], [-14], [-64], [42], [36], [-52], [66], [-52], [10], [-54], [46], [42], [0], [-30], [-28], [-22], [-22], [40], [38], [56], [36], [30], [-52], [34], [-10], [-16], [56], [48], [-26], [-16], [18], [8], [66], [-58], [16], [-26], [24], [12], [22], [26], [-20], [-4], [12], [-2], [28], [24], [-22], [-12], [8], [-18], [-54], [12], [56], [-36], [-44], [-44], [2], [-6], [-48], [8], [0], [-16], [-12], [-38], [66], [-24], [-70], [14], [-20], [-18], [-28], [46], [-34], [8], [-44], [26], [18], [-38], [60], [34], [-22], [64], [-6], [26], [-24], [-10], [-40], [42], [16], [-36], [-46], [-22], [36], [56], [64], [-16], [58], [-4], [20], [-62], [-54], [40], [82], [-6], [12], [6], [0], [86], [-10], [-28], [54], [60], [36], [26], [18], [8], [84], [60], [26], [-36], [58], [40], [22], [40], [74], [18], [-4], [-48], [-14], [0], [40], [22], [-30], [-20], [-86], [38], [56], [30], [-38], [32], [-68], [52], [10], [90], [18], [76], [-48], [56], [-48], [74], [-6], [30], [-12], [-14], [90], [66], [-64], [66], [-36], [42], [8], [8], [46], [-36], [90], [-78], [-44], [-66], [-54], [-64], [32], [-46], [-24], [-46], [42], [-76], [44], [12], [58], [18], [56], [90], [-52], [52], [56], [-38], [52], [-10], [48], [44], [22], [-14], [-14], [-46], [6], [64], [38], [44], [-24], [-80], [-30], [-96], [72], [66], [-54], [-28], [4], [-32], [-38], [40], [-54], [52], [42], [34], [-86], [88], [-6], [-6], [20], [-62], [-58], [4], [80], [-22], [42], [-12], [-28], [106], [46], [48], [-28], [10], [48], [18], [58], [48], [-36], [-2], [-22], [-44], [54], [-76], [40]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 103582791463080208, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4368.2.a.x', '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]], 'ALdims': [6, 4, 3, 5, 6, 2, 3, 7, 4, 5, 3, 6, 6, 5, 5, 2], '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_index': 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, 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mf_twists_nf • Show schema
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id: 1202532
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4368.2.a.x', 'source_level': 4368, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '2184.2.a.g', 'target_level': 2184, 'twist_class_label': '2184.2.a.g', 'twist_class_level': 2184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202533
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4368.2.a.x', 'source_level': 4368, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '4368.2.a.x', 'target_level': 4368, 'twist_class_label': '2184.2.a.g', 'twist_class_level': 2184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1202534
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '4368.2.a.x', 'source_level': 4368, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '6552.2.a.h', 'target_level': 6552, 'twist_class_label': '2184.2.a.g', '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: 3580975
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 2}
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id: 3580976
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 3}
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id: 3580977
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 5}
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id: 3580978
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 7}
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id: 3580979
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 11}
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id: 3580980
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 13}
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id: 3580981
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 17}
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id: 3580982
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 19}
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id: 3580983
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 23}
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id: 3580984
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 29}
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id: 3580985
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 31}
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id: 3580986
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 37}
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id: 3580987
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 41}
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id: 3580988
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 43}
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id: 3580989
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 47}
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id: 3580990
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 53}
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id: 3580991
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 59}
-
id: 3580992
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 61}
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id: 3580993
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 67}
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id: 3580994
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 71}
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id: 3580995
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 73}
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id: 3580996
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 79}
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id: 3580997
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 83}
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id: 3580998
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 89}
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id: 3580999
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 103582791463080208, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '4368.2.a.x', '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: 255512000
{'hecke_orbit_code': 103582791463080208, 'n': 1, 'trace_an': 1}
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id: 255512001
{'hecke_orbit_code': 103582791463080208, 'n': 2, 'trace_an': 0}
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id: 255512002
{'hecke_orbit_code': 103582791463080208, 'n': 3, 'trace_an': 1}
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id: 255512003
{'hecke_orbit_code': 103582791463080208, 'n': 4, 'trace_an': 0}
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id: 255512004
{'hecke_orbit_code': 103582791463080208, 'n': 5, 'trace_an': 2}
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id: 255512005
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