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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, [0, 1]], [23, [4, 1]], [29, [-6, 1]], [31, [0, 1]]], 'hecke_orbit': 53, 'hecke_orbit_code': 234187180656826944, '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.ca', '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.c', '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/ca'], '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': 2006039470077520729, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.012', '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], [0], [0], [-1], [0], [-4], [0], [1], [0], [1], [0], [6], [0], [0], [0], [-4], [0], [-1], [0], [-2], [0], [6], [0], [2], [0], [-4], [0], [1], [0], [4], [0], [1], [0], [6], [0], [6], [0], [-4], [0], [0], [0], [-12], [0], [10], [0], [-1], [0], [6], [0], [-4], [0], [-4], [0], [8], [0], [-14], [0], [1], [0], [4], [0], [8], [0], [1], [0], [12], [0], [6], [0], [6], [0], [-6], [0], [-6], [0], [0], [0], [0], [0], [-14], [0], [-4], [0]], 'ap': [[0], [1], [1], [-1], [-4], [6], [6], [0], [-4], [6], [0], [-2], [2], [-4], [4], [6], [-12], [10], [-4], [8], [-14], [8], [12], [-6], [-14], [-2], [0], [20], [2], [-10], [8], [20], [-2], [8], [6], [8], [6], [-12], [-20], [14], [20], [2], [24], [10], [6], [-16], [8], [16], [12], [10], [6], [0], [-30], [20], [-18], [-4], [-26], [8], [14], [-14], [28], [22], [-20], [0], [34], [-18], [-32], [10], [-4], [-22], [6], [-8], [-8], [6], [32], [-20], [6], [-2], [-6], [10], [12], [-30], [0], [-22], [16], [-28], [10], [-6], [-18], [-8], [-12], [-24], [-32], [36], [-24], [12], [-42], [-6], [-20], [34], [-44], [46], [20], [18], [-16], [34], [36], [-18], [-24], [10], [48], [14], [22], [-40], [16], [-14], [28], [36], [46], [-4], [-46], [-38], [6], [12], [8], [-42], [-14], [48], [-48], [14], [-8], [52], [-48], [-34], [10], [34], [6], [-12], [-34], [42], [16], [-34], [-56], [-4], [10], [-16], [-42], [-18], [8], [12], [14], [-30], [-12], [12], [-44], [0], [-40], [-14], [-54], [30], [-20], [46], [24], [36], [-50], [-4], [-8], [-50], [-14], [-10], [4], [2], [0], [-14], [-24], [10], [-24], [-26], [-56], [2], [16], [-12], [62], [-58], [52], [-42], [-2], [-20], [10], [32], [42], [4], [40], [62], [-12], [38], [34], [-18], [-2], [28], [30], [-16], [-50], [2], [20], [-18], [-40], [-60], [18], [-40], [-22], [-42], [32], [60], [-56], [-6], [24], [-30], [28], [-2], [50], [0], [-62], [56], [20], [34], [-42], [-40], [32], [-20], [62], [56], [8], [-30], [-68], [-52], [-46], [54], [-12], [-48], [4], [-24], [-56], [-14], [-10], [-8], [8], [-36], [8], [-36], [-10], [-22], [-12], [-22], [-18], [-36], [10], [-44], [6], [2], [-64], [28], [-54], [78], [-34], [64], [46], [50], [-44], [70], [-46], [-44], [34], [-8], [26], [48], [12], [-46], [74], [-76], [20], [-8], [-12], [74], [-20], [-72], [34], [-42], [-64], [-70], [-34], [-60], [-74], [60], [-42], [-50], [80], [-26], [-76], [28], [50], [46], [0], [76], [-16], [2], [-60], [2], [0], [-10], [-12], [30], [-86], [-68], [12], [26], [-60], [8], [58], [18], [-88], [-46], [-42], [-40], [-74], [2], [64], [84], [-84], [38], [-38], [62], [8], [44], [8], [68], [-54], [6], [26], [8], [86], [22], [46], [-40], [-18], [-44], [42], [-60], [16], [-58], [-64], [-6], [70], [16], [10], [78], [48], [12], [54], [76], [-10], [34], [60], [-60], [-28], [58], [78], [-64], [-22], [-36], [88], [84], [30], [-8], [-74], [-44], [0], [-14], [-14], [26], [-34], [78], [8], [14], [-24], [-28], [96], [-74], [-4], [28], [-46], [38], [-92], [-92], [-16], [42], [96], [-30], [32], [-10], [98], [86], [-88], [-58], [62], [16], [-10], [-22], [76], [28], [98], [22], [-36], [64], [-30], [-10], [-88], [-24], [30], [36], [78], [14], [-20], [28], [-62], [-98], [-68], [10], [-56], [0], [-22], [-20], [-16], [-44], [46], [90], [106], [-38], [-68]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 234187180656826944, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6720.2.a.ca', '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: 1315934
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 53, 'source_is_minimal': False, 'source_label': '6720.2.a.ca', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '3360.2.a.c', 'target_level': 3360, 'twist_class_label': '3360.2.a.c', 'twist_class_level': 3360, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315935
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 53, 'source_is_minimal': False, 'source_label': '6720.2.a.ca', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '3360.2.a.p', 'target_level': 3360, 'twist_class_label': '3360.2.a.c', 'twist_class_level': 3360, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1315936
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 53, 'source_is_minimal': False, 'source_label': '6720.2.a.ca', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '6720.2.a.bg', 'target_level': 6720, 'twist_class_label': '3360.2.a.c', 'twist_class_level': 3360, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1315937
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 53, 'source_is_minimal': False, 'source_label': '6720.2.a.ca', 'source_level': 6720, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '6720.2.a.ca', 'target_level': 6720, 'twist_class_label': '3360.2.a.c', '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: 4268575
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 2}
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id: 4268576
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 3}
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id: 4268577
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 5}
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id: 4268578
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 7}
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id: 4268579
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 11}
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id: 4268580
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 13}
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id: 4268581
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 17}
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id: 4268582
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 19}
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id: 4268583
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 23}
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id: 4268584
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 29}
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id: 4268585
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 31}
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id: 4268586
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 37}
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id: 4268587
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 41}
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id: 4268588
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 43}
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id: 4268589
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 47}
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id: 4268590
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 53}
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id: 4268591
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 59}
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id: 4268592
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 61}
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id: 4268593
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 67}
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id: 4268594
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 71}
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id: 4268595
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 73}
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id: 4268596
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 79}
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id: 4268597
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 83}
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id: 4268598
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 89}
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id: 4268599
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 234187180656826944, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 53, 'label': '6720.2.a.ca', '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: 278002000
{'hecke_orbit_code': 234187180656826944, 'n': 1, 'trace_an': 1}
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id: 278002001
{'hecke_orbit_code': 234187180656826944, 'n': 2, 'trace_an': 0}
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id: 278002002
{'hecke_orbit_code': 234187180656826944, 'n': 3, 'trace_an': 1}
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id: 278002003
{'hecke_orbit_code': 234187180656826944, 'n': 4, 'trace_an': 0}
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id: 278002004
{'hecke_orbit_code': 234187180656826944, 'n': 5, 'trace_an': 1}
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id: 278002005
{'hecke_orbit_code': 234187180656826944, 'n': 6, 'trace_an': 0}
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id: 278002006
{'hecke_orbit_code': 234187180656826944, 'n': 7, 'trace_an': -1}
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id: 278002007
{'hecke_orbit_code': 234187180656826944, 'n': 8, 'trace_an': 0}
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id: 278002008
{'hecke_orbit_code': 234187180656826944, 'n': 9, 'trace_an': 1}
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id: 278002009
{'hecke_orbit_code': 234187180656826944, 'n': 10, 'trace_an': 0}
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id: 278002010
{'hecke_orbit_code': 234187180656826944, 'n': 11, 'trace_an': -4}
-
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id: 278002810
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