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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, [-4, 1]], [13, [-6, 1]], [17, [-6, 1]], [19, [-4, 1]], [23, [4, 1]], [29, [-2, 1]], [31, [-8, 1]]], 'hecke_orbit': 50, 'hecke_orbit_code': 220676381774715456, '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.bx', '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.h', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+q^{7}+q^{9}+4q^{11}+6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/6720/bx'], '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': 317837118677107409, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.015', '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], [4], [0], [6], [0], [-1], [0], [6], [0], [4], [0], [1], [0], [-4], [0], [1], [0], [1], [0], [2], [0], [8], [0], [4], [0], [-1], [0], [-6], [0], [6], [0], [6], [0], [-8], [0], [-1], [0], [0], [0], [1], [0], [6], [0], [-6], [0], [-4], [0], [4], [0], [4], [0], [-10], [0], [1], [0], [-6], [0], [-8], [0], [-4], [0], [12], [0], [-14], [0], [1], [0], [4], [0], [-16], [0], [1], [0], [12], [0], [-6], [0], [2], [0], [14], [0], [6], [0], [8], [0], [-4], [0], [18], [0], [4], [0]], 'ap': [[0], [1], [-1], [1], [4], [6], [6], [4], [-4], [2], [8], [-6], [6], [-8], [0], [-6], [4], [-10], [-8], [12], [-14], [-16], [12], [14], [18], [-14], [-8], [-4], [2], [2], [8], [-20], [-14], [4], [-22], [-16], [14], [-16], [0], [2], [4], [14], [12], [18], [10], [-16], [-16], [-24], [4], [-2], [18], [28], [18], [-20], [6], [4], [-6], [16], [2], [18], [4], [2], [-12], [-24], [-14], [18], [-8], [-14], [-4], [14], [-18], [36], [24], [-14], [-8], [-8], [-6], [14], [-6], [26], [-4], [34], [-12], [-38], [-40], [-12], [18], [-6], [2], [0], [-12], [-16], [-32], [-12], [16], [16], [10], [30], [-36], [-6], [0], [-14], [-36], [34], [0], [-30], [28], [-34], [28], [42], [-8], [-6], [18], [-36], [-16], [-22], [44], [16], [18], [-12], [46], [-46], [26], [-12], [-36], [2], [-6], [-8], [-40], [14], [16], [4], [16], [-22], [6], [26], [18], [28], [50], [-54], [-20], [-6], [16], [-52], [-2], [0], [6], [6], [-20], [36], [2], [-18], [-32], [-48], [-32], [36], [24], [-34], [10], [50], [20], [-6], [8], [60], [-22], [24], [24], [46], [2], [-54], [44], [-34], [44], [26], [0], [54], [-8], [-6], [16], [-26], [40], [-12], [-22], [38], [12], [-22], [26], [-4], [-38], [-56], [-38], [-36], [-32], [18], [28], [-42], [-14], [50], [54], [-40], [18], [-32], [-10], [-6], [44], [-22], [0], [-28], [-6], [60], [34], [-38], [-16], [12], [24], [50], [-56], [38], [36], [-62], [26], [16], [2], [-16], [28], [-38], [-34], [-36], [16], [-36], [-30], [28], [-8], [10], [-12], [-48], [50], [-54], [36], [-16], [-68], [12], [-56], [-70], [70], [64], [32], [68], [0], [-44], [26], [-2], [-52], [-46], [-6], [-36], [-38], [44], [34], [50], [56], [12], [38], [-26], [-42], [20], [18], [-42], [56], [26], [-18], [40], [-46], [16], [-22], [80], [52], [-70], [58], [20], [32], [32], [-40], [-34], [-52], [36], [-30], [-54], [-56], [38], [50], [28], [-30], [20], [10], [-46], [8], [-78], [-68], [-28], [-14], [18], [-80], [-60], [-48], [18], [28], [14], [-60], [-30], [-80], [42], [58], [-24], [-12], [-14], [20], [84], [-22], [26], [-4], [-70], [26], [40], [26], [66], [0], [-76], [-76], [-6], [74], [-30], [-88], [-4], [-24], [-76], [50], [22], [-14], [-8], [-62], [-30], [-62], [-72], [34], [-60], [46], [-8], [0], [18], [-4], [58], [2], [64], [50], [-26], [24], [-20], [-78], [-12], [66], [14], [-92], [76], [-52], [26], [10], [8], [58], [100], [-20], [76], [-6], [96], [10], [76], [-84], [-46], [6], [26], [34], [-6], [40], [-62], [-44], [32], [-40], [86], [72], [80], [50], [-6], [-36], [44], [20], [58], [0], [-50], [-24], [42], [38], [34], [48], [6], [-62], [-96], [10], [-14], [-44], [-36], [66], [-22], [44], [80], [26], [90], [84], [40], [70], [88], [66], [-34], [12], [-12], [-14], [-54], [60], [-62], [4], [0], [-54], [4], [80], [-96], [-58], [62], [-70], [-54], [80]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 220676381774715456, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6720.2.a.bx', '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: 1315916
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '6720.2.a.bx', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '3360.2.a.h', 'target_level': 3360, 'twist_class_label': '3360.2.a.h', 'twist_class_level': 3360, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315917
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '6720.2.a.bx', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': True, 'target_label': '3360.2.a.x', 'target_level': 3360, 'twist_class_label': '3360.2.a.h', 'twist_class_level': 3360, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1315918
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '6720.2.a.bx', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '6720.2.a.c', 'target_level': 6720, 'twist_class_label': '3360.2.a.h', 'twist_class_level': 3360, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315919
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '6720.2.a.bx', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '6720.2.a.bx', 'target_level': 6720, 'twist_class_label': '3360.2.a.h', '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: 4268475
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 2}
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id: 4268476
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 3}
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id: 4268477
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 5}
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id: 4268478
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 7}
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id: 4268479
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 11}
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id: 4268480
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 13}
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id: 4268481
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 17}
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id: 4268482
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 19}
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id: 4268483
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 23}
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id: 4268484
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 29}
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id: 4268485
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 31}
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id: 4268486
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 37}
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id: 4268487
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 41}
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id: 4268488
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 43}
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id: 4268489
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 47}
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id: 4268490
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 53}
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id: 4268491
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 59}
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id: 4268492
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 61}
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id: 4268493
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 67}
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id: 4268494
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 71}
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id: 4268495
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 73}
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id: 4268496
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 79}
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id: 4268497
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 83}
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id: 4268498
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 89}
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id: 4268499
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 220676381774715456, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 50, 'label': '6720.2.a.bx', '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: 277224000
{'hecke_orbit_code': 220676381774715456, 'n': 1, 'trace_an': 1}
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id: 277224001
{'hecke_orbit_code': 220676381774715456, 'n': 2, 'trace_an': 0}
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id: 277224002
{'hecke_orbit_code': 220676381774715456, 'n': 3, 'trace_an': 1}
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id: 277224003
{'hecke_orbit_code': 220676381774715456, 'n': 4, 'trace_an': 0}
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id: 277224004
{'hecke_orbit_code': 220676381774715456, 'n': 5, 'trace_an': -1}
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