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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, [0, 1]], [17, [6, 1]], [19, [6, 1]], [23, [-8, 1]], [29, [6, 1]], [31, [-6, 1]]], 'hecke_orbit': 57, 'hecke_orbit_code': 252201579166308928, '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.ce', '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.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-q^{7}+q^{9}+2q^{11}+q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/6720/ce'], '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': 517098635712924266, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.033', '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], [0], [0], [1], [0], [-6], [0], [-6], [0], [-1], [0], [8], [0], [1], [0], [1], [0], [-6], [0], [6], [0], [2], [0], [-1], [0], [10], [0], [0], [0], [2], [0], [-4], [0], [1], [0], [-8], [0], [1], [0], [-6], [0], [12], [0], [2], [0], [-6], [0], [12], [0], [10], [0], [-1], [0], [0], [0], [-4], [0], [8], [0], [2], [0], [4], [0], [1], [0], [-2], [0], [-4], [0], [1], [0], [12], [0], [-6], [0], [-6], [0], [6], [0], [0], [0], [6], [0], [-6], [0], [16], [0], [2], [0]], 'ap': [[0], [1], [1], [-1], [2], [0], [-6], [-6], [8], [-6], [6], [10], [2], [-4], [-8], [12], [12], [10], [-4], [2], [4], [-4], [12], [6], [16], [10], [0], [-16], [14], [-4], [8], [8], [-8], [2], [-18], [8], [12], [12], [-8], [26], [-22], [14], [-18], [-14], [24], [-10], [-4], [-20], [12], [-14], [12], [-6], [-18], [20], [6], [-28], [10], [26], [-22], [22], [-20], [10], [16], [0], [16], [12], [-20], [-14], [20], [-22], [-6], [-2], [28], [6], [-16], [16], [6], [16], [-30], [34], [24], [-6], [18], [-16], [-26], [-28], [34], [30], [-18], [-8], [12], [-24], [-32], [-6], [-24], [-24], [18], [-6], [16], [-14], [-44], [28], [-4], [42], [-16], [-32], [12], [-6], [-18], [-26], [12], [26], [4], [26], [-20], [-2], [-32], [-24], [-8], [-10], [2], [22], [-30], [36], [-10], [18], [10], [12], [36], [32], [40], [28], [12], [-34], [-26], [-26], [-6], [-48], [50], [-18], [34], [-22], [-32], [32], [-50], [-28], [48], [30], [14], [48], [-22], [30], [-12], [24], [-44], [30], [-4], [-2], [-12], [-18], [52], [4], [0], [12], [28], [32], [-20], [-32], [-50], [50], [-14], [-10], [-30], [10], [-6], [10], [12], [-2], [-20], [-34], [-32], [12], [-10], [-22], [-44], [-54], [10], [40], [-2], [-52], [24], [-56], [40], [-10], [-36], [-22], [-50], [30], [-26], [64], [-6], [-34], [4], [-34], [20], [-6], [50], [-24], [30], [-58], [-34], [-54], [56], [-36], [28], [-18], [-48], [-42], [28], [16], [26], [-42], [-2], [-64], [44], [-26], [6], [-10], [8], [10], [-58], [-22], [8], [-18], [40], [32], [2], [48], [-30], [-12], [-56], [-6], [-32], [46], [-10], [52], [68], [-48], [-4], [48], [-22], [-58], [0], [50], [18], [-54], [-74], [-20], [-30], [8], [8], [28], [18], [12], [74], [-26], [34], [-70], [4], [64], [62], [4], [-32], [-44], [-40], [-60], [-48], [-46], [-22], [44], [-16], [-20], [0], [-34], [-32], [30], [-74], [12], [-10], [14], [50], [-12], [76], [48], [54], [-50], [50], [-50], [20], [-56], [-4], [-8], [-24], [-20], [56], [-22], [0], [-22], [42], [14], [-24], [18], [-38], [76], [72], [-34], [-48], [38], [-56], [-6], [14], [-10], [-42], [8], [64], [-10], [64], [-36], [-24], [20], [22], [80], [2], [-4], [20], [-4], [66], [-66], [-58], [44], [-82], [-20], [34], [32], [24], [-74], [18], [-60], [-68], [-22], [50], [78], [-38], [-80], [70], [-54], [-36], [-96], [-12], [4], [62], [10], [-36], [6], [80], [94], [-42], [-88], [26], [-54], [70], [60], [54], [10], [-62], [-56], [-42], [-56], [-14], [92], [-46], [36], [8], [-88], [42], [-64], [60], [16], [-76], [16], [-58], [-34], [-98], [-8], [-70], [66], [42], [6], [-64], [2], [14], [44], [80], [-82], [38], [34], [2], [74], [28], [-20], [44], [-44], [12], [28], [-78], [26], [-94], [36], [90], [96], [6], [-16], [-20], [52], [64], [58], [-8], [58], [-50], [-12], [50], [46], [68], [88], [52], [-6], [-86], [-2], [76]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 252201579166308928, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6720.2.a.ce', '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: 1315979
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 57, 'source_is_minimal': False, 'source_label': '6720.2.a.ce', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '3360.2.a.b', 'target_level': 3360, 'twist_class_label': '3360.2.a.b', 'twist_class_level': 3360, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315980
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 57, 'source_is_minimal': False, 'source_label': '6720.2.a.ce', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '3360.2.a.r', 'target_level': 3360, 'twist_class_label': '3360.2.a.b', 'twist_class_level': 3360, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1315981
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 57, 'source_is_minimal': False, 'source_label': '6720.2.a.ce', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '6720.2.a.ba', 'target_level': 6720, 'twist_class_label': '3360.2.a.b', 'twist_class_level': 3360, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315982
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 57, 'source_is_minimal': False, 'source_label': '6720.2.a.ce', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 57, 'target_is_minimal': False, 'target_label': '6720.2.a.ce', 'target_level': 6720, 'twist_class_label': '3360.2.a.b', 'twist_class_level': 3360, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4268700
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 2}
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id: 4268701
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 3}
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id: 4268702
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 5}
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id: 4268703
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 7}
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id: 4268704
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 11}
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id: 4268705
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 13}
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id: 4268706
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 17}
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id: 4268707
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 19}
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id: 4268708
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 23}
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id: 4268709
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 29}
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id: 4268710
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 31}
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id: 4268711
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 37}
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id: 4268712
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 41}
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id: 4268713
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 43}
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id: 4268714
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 47}
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id: 4268715
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 53}
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id: 4268716
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 59}
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id: 4268717
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 61}
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id: 4268718
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 67}
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id: 4268719
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 71}
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id: 4268720
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 73}
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id: 4268721
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 79}
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id: 4268722
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 83}
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id: 4268723
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 89}
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id: 4268724
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 252201579166308928, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 57, 'label': '6720.2.a.ce', '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: 278824000
{'hecke_orbit_code': 252201579166308928, 'n': 1, 'trace_an': 1}
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id: 278824001
{'hecke_orbit_code': 252201579166308928, 'n': 2, 'trace_an': 0}
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id: 278824002
{'hecke_orbit_code': 252201579166308928, 'n': 3, 'trace_an': 1}
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id: 278824003
{'hecke_orbit_code': 252201579166308928, 'n': 4, 'trace_an': 0}
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id: 278824004
{'hecke_orbit_code': 252201579166308928, 'n': 5, 'trace_an': 1}
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id: 278824005
{'hecke_orbit_code': 252201579166308928, 'n': 6, 'trace_an': 0}
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id: 278824006
{'hecke_orbit_code': 252201579166308928, 'n': 7, 'trace_an': -1}
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id: 278824007
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