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{'Nk2': 26880, 'analytic_conductor': 53.659470158300415, 'analytic_rank': 1, '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, [0, 1]], [13, [2, 1]], [17, [2, 1]], [19, [4, 1]], [23, [-8, 1]], [29, [-2, 1]], [31, [-4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797784128, '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.g', '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.k', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}-q^{7}+q^{9}-2q^{13}+q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/6720/g'], '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': 1363774224387759937, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.001', '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], [0], [0], [-2], [0], [1], [0], [-2], [0], [-4], [0], [1], [0], [8], [0], [1], [0], [-1], [0], [2], [0], [4], [0], [0], [0], [1], [0], [6], [0], [2], [0], [-6], [0], [4], [0], [-1], [0], [0], [0], [1], [0], [2], [0], [-6], [0], [0], [0], [4], [0], [0], [0], [-6], [0], [-1], [0], [2], [0], [-4], [0], [-8], [0], [8], [0], [10], [0], [-1], [0], [0], [0], [12], [0], [1], [0], [-4], [0], [2], [0], [-2], [0], [-6], [0], [2], [0], [-4], [0], [4], [0], [-6], [0], [0], [0]], 'ap': [[0], [-1], [-1], [-1], [0], [-2], [-2], [-4], [8], [2], [4], [6], [-6], [4], [0], [-6], [0], [-6], [-4], [8], [10], [12], [-4], [-6], [-6], [-6], [0], [-4], [-6], [-2], [-8], [0], [-2], [-12], [-6], [12], [-10], [4], [24], [18], [0], [-6], [-8], [10], [10], [-4], [-20], [-8], [20], [-14], [-2], [24], [-14], [0], [-18], [-16], [18], [-28], [-18], [-30], [12], [-14], [-20], [0], [10], [18], [-20], [-22], [12], [-22], [-26], [16], [0], [-34], [-20], [-24], [10], [14], [-30], [10], [-8], [-22], [-24], [34], [-4], [12], [-30], [10], [-14], [-16], [-4], [32], [0], [16], [-12], [-24], [18], [18], [4], [10], [28], [-22], [20], [-38], [28], [-38], [12], [14], [16], [42], [-32], [22], [-2], [20], [-44], [-6], [-4], [-8], [42], [-8], [-46], [-22], [-6], [36], [-20], [34], [-6], [-8], [-48], [38], [-44], [-8], [-20], [-2], [18], [18], [50], [-4], [-46], [18], [28], [10], [-16], [-44], [-14], [32], [-42], [22], [-20], [-40], [54], [-46], [20], [-56], [-12], [-48], [20], [-22], [2], [-14], [12], [46], [48], [0], [-34], [0], [20], [14], [-14], [58], [40], [-14], [24], [34], [4], [26], [4], [-22], [8], [2], [-24], [-56], [14], [6], [16], [-22], [-2], [36], [26], [40], [2], [-44], [12], [-30], [52], [6], [2], [14], [-2], [0], [50], [12], [38], [34], [-8], [-22], [-20], [20], [-14], [-28], [-70], [-54], [-32], [-12], [56], [26], [32], [42], [40], [26], [58], [-36], [26], [-16], [28], [-14], [-42], [24], [8], [24], [46], [-60], [-52], [50], [-28], [8], [34], [-46], [16], [-56], [52], [-36], [16], [34], [54], [-24], [16], [-40], [-20], [-8], [70], [-22], [-24], [74], [42], [56], [-46], [28], [-30], [42], [40], [-20], [-30], [46], [38], [-76], [50], [18], [12], [34], [-14], [-76], [10], [28], [-14], [48], [12], [-46], [-70], [-16], [56], [68], [8], [-22], [-20], [40], [34], [-46], [-60], [58], [-14], [-28], [46], [0], [-82], [2], [-20], [-30], [-40], [-44], [10], [10], [-44], [-60], [36], [-78], [-60], [74], [-24], [14], [-64], [-54], [-30], [-36], [-24], [-38], [-56], [48], [82], [2], [4], [-78], [50], [-72], [6], [-30], [4], [-84], [-48], [2], [34], [-38], [-36], [20], [68], [-60], [-6], [-10], [-38], [-40], [-34], [22], [58], [20], [-46], [40], [-30], [28], [0], [2], [36], [-86], [18], [56], [-70], [14], [-32], [-48], [-42], [48], [-18], [-30], [-80], [0], [52], [90], [-38], [72], [-70], [72], [-4], [0], [-54], [68], [-10], [96], [48], [-86], [10], [-94], [-30], [-2], [-56], [22], [68], [-40], [44], [-2], [28], [72], [66], [-38], [72], [-68], [-24], [-54], [20], [-102], [-12], [-86], [50], [70], [8], [78], [-6], [44], [6], [18], [-4], [40], [-22], [18], [-12], [-20], [-46], [-78], [16], [56], [-58], [-48], [-46], [94], [-64], [96], [42], [10], [-84], [58], [-28], [0], [42], [-64], [-4], [72], [-98], [-46], [10], [10], [76]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797784128, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6720.2.a.g', '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: 1315502
{'conductor': 8, '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': '6720.2.a.g', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '3360.2.a.k', 'target_level': 3360, 'twist_class_label': '3360.2.a.k', 'twist_class_level': 3360, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1315503
{'conductor': 8, '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': '6720.2.a.g', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': True, 'target_label': '3360.2.a.v', 'target_level': 3360, 'twist_class_label': '3360.2.a.k', 'twist_class_level': 3360, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315504
{'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': '6720.2.a.g', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '6720.2.a.g', 'target_level': 6720, 'twist_class_label': '3360.2.a.k', 'twist_class_level': 3360, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1315505
{'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': '6720.2.a.g', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '6720.2.a.br', 'target_level': 6720, 'twist_class_label': '3360.2.a.k', 'twist_class_level': 3360, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4267200
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 2}
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id: 4267201
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 3}
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id: 4267202
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 5}
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id: 4267203
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 7}
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id: 4267204
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 11}
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id: 4267205
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 13}
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id: 4267206
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 17}
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id: 4267207
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 19}
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id: 4267208
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 23}
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id: 4267209
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 29}
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id: 4267210
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 31}
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id: 4267211
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 37}
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id: 4267212
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 41}
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id: 4267213
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 43}
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id: 4267214
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 47}
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id: 4267215
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 53}
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id: 4267216
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 59}
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id: 4267217
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 61}
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id: 4267218
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 67}
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id: 4267219
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 71}
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id: 4267220
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 73}
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id: 4267221
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 79}
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id: 4267222
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 83}
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id: 4267223
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 89}
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id: 4267224
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797784128, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '6720.2.a.g', '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: 178249000
{'hecke_orbit_code': 27021597797784128, 'n': 1, 'trace_an': 1}
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id: 178249001
{'hecke_orbit_code': 27021597797784128, 'n': 2, 'trace_an': 0}
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id: 178249002
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id: 178249996
{'hecke_orbit_code': 27021597797784128, 'n': 997, 'trace_an': 14}
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id: 178249997
{'hecke_orbit_code': 27021597797784128, 'n': 998, 'trace_an': 0}
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id: 178249998
{'hecke_orbit_code': 27021597797784128, 'n': 999, 'trace_an': -6}
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id: 178249999
{'hecke_orbit_code': 27021597797784128, 'n': 1000, 'trace_an': 0}