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{'Nk2': 26880, 'analytic_conductor': 53.659470158300415, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [7, -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': [6720, 1, [1471, 3781, 4481, 5377, 1921], [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': [[11, [-2, 1]], [13, [-4, 1]], [17, [2, 1]], [19, [6, 1]], [23, [-4, 1]], [29, [-10, 1]], [31, [2, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892603968, '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': '6720.2.a.bu', 'level': 6720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '3360.2.a.j', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}+4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/6720/bu'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6720.2.a', 'trace_display': [0, 1, -1, 1], 'trace_hash': 574419009784207933, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.031', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [-1], [0], [1], [0], [1], [0], [2], [0], [4], [0], [-1], [0], [-2], [0], [-6], [0], [1], [0], [4], [0], [1], [0], [1], [0], [10], [0], [-2], [0], [2], [0], [-1], [0], [2], [0], [4], [0], [-10], [0], [4], [0], [-1], [0], [8], [0], [1], [0], [-2], [0], [-4], [0], [-2], [0], [-6], [0], [4], [0], [2], [0], [1], [0], [-4], [0], [4], [0], [4], [0], [-6], [0], [0], [0], [1], [0], [2], [0], [4], [0], [1], [0], [-4], [0], [2], [0], [10], [0], [-6], [0], [4], [0], [-2], [0], [6], [0], [4], [0], [2], [0]], 'ap': [[0], [1], [-1], [1], [2], [4], [-2], [-6], [4], [10], [-2], [2], [-10], [4], [8], [-4], [4], [2], [4], [-6], [0], [4], [-4], [-6], [4], [6], [-8], [20], [14], [12], [-8], [0], [16], [-22], [6], [16], [0], [-20], [-8], [6], [18], [6], [-18], [-22], [24], [-10], [20], [12], [20], [2], [-12], [-6], [14], [-4], [2], [-8], [30], [-14], [10], [30], [4], [-2], [-8], [0], [28], [28], [-12], [-6], [-24], [34], [6], [-2], [28], [-18], [-8], [-8], [6], [-20], [10], [10], [0], [-6], [10], [28], [6], [24], [-30], [-2], [26], [24], [-12], [-24], [-24], [2], [16], [16], [-26], [-10], [-32], [18], [-20], [-36], [4], [18], [-40], [28], [-12], [6], [30], [14], [-36], [-38], [-20], [-46], [-44], [38], [-40], [24], [-16], [30], [42], [6], [6], [24], [-34], [18], [10], [-36], [44], [-44], [16], [-40], [-12], [-34], [42], [-18], [-42], [32], [46], [-2], [-38], [-46], [16], [36], [6], [52], [-36], [18], [-50], [12], [-22], [10], [20], [-40], [20], [-34], [-44], [-30], [8], [34], [-16], [-28], [-40], [-12], [-28], [-24], [52], [28], [-2], [-26], [-30], [-42], [-6], [-54], [26], [-10], [-28], [-18], [20], [62], [8], [-12], [14], [46], [-24], [-42], [50], [-24], [-50], [12], [-52], [-36], [64], [2], [8], [6], [-18], [-26], [-30], [-16], [-30], [-50], [-16], [14], [60], [-10], [-46], [-36], [-18], [22], [22], [-2], [-8], [-36], [44], [-26], [-40], [-30], [-48], [8], [-38], [62], [30], [48], [-52], [38], [-46], [14], [-48], [50], [54], [-6], [16], [14], [-64], [56], [-6], [-48], [58], [68], [-12], [18], [0], [46], [-22], [4], [-52], [-24], [-60], [-36], [2], [34], [52], [26], [14], [10], [-10], [-28], [62], [-60], [72], [-16], [2], [-16], [-74], [-34], [10], [6], [-36], [-24], [30], [-20], [-44], [28], [-68], [-68], [36], [2], [10], [-76], [-56], [20], [8], [62], [-16], [-66], [-10], [28], [46], [-30], [26], [-12], [-12], [-40], [14], [-22], [82], [-30], [44], [88], [64], [-48], [-16], [-56], [80], [-62], [-68], [-22], [50], [-18], [-48], [-30], [-62], [44], [4], [-34], [-8], [78], [-52], [82], [-18], [-42], [-62], [-8], [48], [-74], [-56], [-44], [28], [28], [86], [24], [-6], [4], [44], [4], [34], [-6], [-26], [-28], [-74], [-12], [70], [-72], [64], [-66], [50], [36], [-84], [-2], [-14], [38], [18], [0], [-74], [-42], [12], [-24], [36], [48], [-10], [-18], [-24], [-18], [64], [46], [58], [-64], [58], [82], [-74], [56], [-50], [-30], [2], [80], [-82], [52], [94], [72], [-2], [-76], [-64], [40], [34], [-24], [4], [4], [-20], [-16], [86], [-70], [-42], [16], [18], [-38], [10], [-30], [40], [-62], [30], [12], [24], [2], [26], [-14], [34], [-54], [44], [20], [-48], [28], [-64], [68], [2], [78], [-30], [12], [30], [0], [-26], [76], [-24], [12], [-84], [-2], [-92], [34], [-42], [36], [-6], [54], [108], [64], [-72], [-18], [10], [62], [84]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 207165582892603968, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6720.2.a.bu', 'level': 6720, 'maxp': 3067, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1]], 4, 4], [[[2, -1], [3, 1], [5, 1], [7, -1]], 4, 3], [[[2, 1], [3, 1], [5, -1], [7, -1]], 5, 5], [[[2, -1], [3, 1], [5, -1], [7, -1]], 7, 6], [[[2, 1], [3, 1], [5, 1], [7, -1]], 8, 5], [[[2, 1], [3, -1], [5, -1], [7, -1]], 8, 5], [[[2, 1], [3, -1], [5, 1], [7, -1]], 5, 5], [[[2, -1], [3, -1], [5, 1], [7, 1]], 6, 4], [[[2, -1], [3, -1], [5, -1], [7, 1]], 7, 6], [[[2, 1], [3, -1], [5, -1], [7, 1]], 5, 5], [[[2, 1], [3, -1], [5, 1], [7, 1]], 6, 4], [[[2, -1], [3, 1], [5, 1], [7, 1]], 7, 7], [[[2, -1], [3, -1], [5, 1], [7, -1]], 7, 7], [[[2, 1], [3, 1], [5, 1], [7, 1]], 5, 5], [[[2, -1], [3, 1], [5, -1], [7, 1]], 6, 5], [[[2, 1], [3, 1], [5, -1], [7, 1]], 6, 4]], 'ALdims': [5, 8, 6, 5, 6, 5, 5, 8, 7, 4, 6, 7, 6, 7, 7, 4], 'Nk2': 26880, 'analytic_conductor': 53.659470158300415, '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': [6720, 1, [1471, 3781, 4481, 5377, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1489, 'dim': 96, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 23, 29, 31], 'hecke_orbit_code': 33561152, '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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '6720.2.a', 'level': 6720, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1584, 'mf_new_dim': 96, 'num_forms': 80, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 3072, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1315898
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '6720.2.a.bu', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '3360.2.a.j', 'target_level': 3360, 'twist_class_label': '3360.2.a.j', 'twist_class_level': 3360, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315899
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '6720.2.a.bu', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': True, 'target_label': '3360.2.a.w', 'target_level': 3360, 'twist_class_label': '3360.2.a.j', 'twist_class_level': 3360, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1315900
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '6720.2.a.bu', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6720.2.a.f', 'target_level': 6720, 'twist_class_label': '3360.2.a.j', 'twist_class_level': 3360, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315901
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '6720.2.a.bu', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '6720.2.a.bu', 'target_level': 6720, 'twist_class_label': '3360.2.a.j', 'twist_class_level': 3360, '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: 4268400
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 2}
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id: 4268401
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 3}
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id: 4268402
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 5}
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id: 4268403
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 7}
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id: 4268404
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 11}
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id: 4268405
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 13}
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id: 4268406
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 17}
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id: 4268407
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 19}
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id: 4268408
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 23}
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id: 4268409
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 29}
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id: 4268410
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 31}
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id: 4268411
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 37}
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id: 4268412
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 41}
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id: 4268413
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 43}
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id: 4268414
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 47}
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id: 4268415
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 53}
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id: 4268416
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 59}
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id: 4268417
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 61}
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id: 4268418
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 67}
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id: 4268419
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 71}
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id: 4268420
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 73}
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id: 4268421
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 79}
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id: 4268422
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 83}
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id: 4268423
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 89}
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id: 4268424
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 207165582892603968, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 47, 'label': '6720.2.a.bu', 'level': 6720, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 276255000
{'hecke_orbit_code': 207165582892603968, 'n': 1, 'trace_an': 1}
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id: 276255001
{'hecke_orbit_code': 207165582892603968, 'n': 2, 'trace_an': 0}
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id: 276255002
{'hecke_orbit_code': 207165582892603968, 'n': 3, 'trace_an': 1}
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id: 276255003
{'hecke_orbit_code': 207165582892603968, 'n': 4, 'trace_an': 0}
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id: 276255004
{'hecke_orbit_code': 207165582892603968, 'n': 5, 'trace_an': -1}
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id: 276255005
{'hecke_orbit_code': 207165582892603968, 'n': 6, 'trace_an': 0}
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id: 276255006
{'hecke_orbit_code': 207165582892603968, 'n': 7, 'trace_an': 1}
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id: 276255007
{'hecke_orbit_code': 207165582892603968, 'n': 8, 'trace_an': 0}
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id: 276255008
{'hecke_orbit_code': 207165582892603968, 'n': 9, 'trace_an': 1}
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id: 276255009
{'hecke_orbit_code': 207165582892603968, 'n': 10, 'trace_an': 0}
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id: 276255010
{'hecke_orbit_code': 207165582892603968, 'n': 11, 'trace_an': 2}
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id: 276255011
{'hecke_orbit_code': 207165582892603968, 'n': 12, 'trace_an': 0}
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id: 276255012
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id: 276255998
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id: 276255999
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