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{'Nk2': 10920, 'analytic_conductor': 21.799159751809544, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [7, -1], [13, 1]], 'atkin_lehner_string': '+-+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2730, 1, [911, 547, 2341, 1471], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 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]], [17, [-2, 1]], [19, [8, 1]], [23, [4, 1]], [29, [-6, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189373610, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2730.2.a.n', 'level': 2730, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 7, 13], 'level_radical': 2730, 'minimal_twist': '2730.2.a.n', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/2730/n'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2730.2.a', 'trace_display': [-1, 1, -1, 1], 'trace_hash': 949043864154177522, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.094', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.312', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, 'traces': [1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 0, 1, -1, -1, -1, 1, 2, -1, -8, -1, 1, 0, -4, -1, 1, 1, 1, 1, 6, 1, -8, -1, 0, -2, -1, 1, -6, 8, -1, 1, 2, -1, -12, 0, -1, 4, 0, 1, 1, -1, 2, -1, 10, -1, 0, -1, -8, -6, -8, -1, -2, 8, 1, 1, 1, 0, -4, 2, -4, 1, 8, -1, 6, 6, 1, -8, 0, 1, 0, -1, 1, -2, -4, 1, -2, 12, 6, 0, -6, 1, -1, -4, -8, 0, 8, -1, 6, -1, 0, 1, -18, -2, -12, 1, -1, -10, 4, 1, -6, 0, -6, 1, 2, 8, 4, 6, -1, 8, 2, 1, -11, 2, 2, -8, -1, -1, 4, -1, -12, -1, -12, 0, -8, 4, -1, -2, 6, 4, 20, -1, 0, -8, 0, 1, -6, -6, 1, -6, -14, -1, -8, 8, 2, 0, 8, -1, 2, 0, 10, 1, -4, -1, -12, 2, 0, 4, -8, -1, 1, 2, -8, -12, 10, -6, 1, 0, -8, 6, 4, -1, -18, 1, -2, 4, 6, 8, 0, 0, 1, -8, -16, 1, 14, 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [-1], [-1], [1], [-1], [1], [1], [0], [1], [-1], [-1], [-1], [1], [2], [-1], [-8], [-1], [1], [0], [-4], [-1], [1], [1], [1], [1], [6], [1], [-8], [-1], [0], [-2], [-1], [1], [-6], [8], [-1], [1], [2], [-1], [-12], [0], [-1], [4], [0], [1], [1], [-1], [2], [-1], [10], [-1], [0], [-1], [-8], [-6], [-8], [-1], [-2], [8], [1], [1], [1], [0], [-4], [2], [-4], [1], [8], [-1], [6], [6], [1], [-8], [0], [1], [0], [-1], [1], [-2], [-4], [1], [-2], [12], [6], [0], [-6], [1], [-1], [-4], [-8], [0], [8], [-1], [6], [-1], [0], [1]], 'ap': [[-1], [1], [-1], [1], [0], [-1], [2], [-8], [-4], [6], [-8], [-6], [2], [-12], [0], [10], [-8], [-2], [-4], [8], [6], [0], [-4], [-6], [6], [-18], [-12], [4], [-6], [2], [4], [-12], [6], [20], [-14], [-8], [2], [-12], [-8], [10], [4], [-18], [-16], [14], [10], [8], [4], [-8], [12], [10], [-6], [8], [-22], [-12], [-14], [4], [6], [16], [10], [-30], [-20], [-6], [-20], [0], [10], [2], [-8], [34], [-12], [-6], [-34], [0], [28], [-14], [-24], [24], [30], [34], [10], [-38], [-12], [-30], [16], [-14], [0], [36], [-6], [38], [18], [-16], [-20], [24], [32], [-4], [-40], [-12], [-6], [10], [-28], [-30], [4], [2], [12], [42], [-20], [-2], [28], [46], [0], [26], [20], [26], [-18], [16], [-8], [18], [36], [20], [10], [4], [26], [26], [42], [28], [-8], [-2], [10], [8], [20], [-30], [40], [0], [8], [10], [-6], [-38], [-38], [-52], [-6], [26], [8], [-6], [36], [52], [-2], [-40], [42], [2], [44], [-32], [18], [2], [-20], [36], [4], [32], [-32], [34], [-22], [-6], [44], [-46], [8], [4], [-2], [-16], [-40], [10], [34], [-30], [-24], [-14], [40], [-10], [-40], [-54], [16], [-30], [-28], [30], [-8], [20], [-6], [-58], [56], [-18], [58], [-60], [34], [-24], [-54], [-36], [-44], [-22], [-60], [-6], [10], [-54], [-50], [4], [50], [32], [42], [-14], [-8], [-62], [24], [-36], [-14], [-28], [2], [-18], [-12], [-68], [64], [-46], [-52], [18], [48], [-14], [-50], [-16], [18], [-56], [-60], [46], [-14], [-48], [52], [-48], [58], [-12], [32], [42], [-4], [-32], [-46], [42], [-20], [-8], [44], [20], [-12], [34], [6], [-32], [-8], [56], [8], [44], [-30], [-6], [-32], [26], [74], [-24], [-2], [-28], [2], [22], [-4], [36], [-22], [-54], [30], [4], [66], [-62], [4], [-30], [-34], [12], [14], [40], [-22], [-8], [28], [66], [66], [-36], [36], [-64], [4], [-38], [-76], [-8], [-54], [-70], [-64], [-62], [78], [-68], [-26], [80], [34], [-66], [-72], [-6], [-28], [84], [-6], [-14], [24], [-60], [4], [70], [20], [-18], [80], [66], [-84], [2], [-30], [-60], [-72], [74], [0], [16], [-18], [2], [52], [62], [-74], [64], [22], [34], [-64], [-12], [-60], [42], [10], [-38], [-32], [84], [-64], [28], [-38], [-50], [58], [-52], [-6], [-62], [42], [80], [66], [60], [-82], [-84], [80], [-38], [-56], [-34], [-78], [4], [-42], [-6], [80], [-24], [42], [64], [-22], [90], [-44], [8], [20], [34], [66], [0], [-6], [28], [-28], [88], [-34], [-72], [-30], [40], [-8], [-50], [-78], [2], [42], [-90], [16], [-18], [-24], [0], [0], [-78], [-52], [68], [50], [-6], [0], [28], [-80], [34], [16], [42], [-76], [-6], [-54], [-46], [40], [-42], [-46], [40], [82], [90], [-52], [-48], [-86], [26], [-36], [4], [-62], [46], [96], [-12], [-66], [-20], [-18], [-38], [-96], [-44], [6], [-78], [-52], [-54], [-88], [72]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 58546795189373610, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2730.2.a.n', 'level': 2730, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 3, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 3, 2, 0, 2, 0, 0, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 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], 'ALdims_old': [13, 23, 23, 18, 23, 16, 16, 21, 17, 20, 22, 17, 19, 18, 14, 25, 17, 20, 21, 18, 25, 16, 15, 20, 17, 20, 23, 16, 22, 19, 18, 18], 'Nk2': 10920, 'analytic_conductor': 21.799159751809544, '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': [2730, 1, [911, 547, 2341, 1471], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 657, 'dim': 47, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 17, 19, 23, 29], 'hecke_orbit_code': 33557162, '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, 2, 2, 2, 2, 2, 2, 2, 3], 'label': '2730.2.a', 'level': 2730, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 7, 13], 'level_radical': 2730, 'mf_dim': 688, 'mf_new_dim': 47, 'num_forms': 38, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 47, 'sturm_bound': 1344, 'trace_bound': 23, 'trace_display': [-1, -1, -1, -1], 'traces': [47, -1, -1, 47, -1, -1, -1, -1, 47, -1, -12, -1, -1, -1, -1, 47, 14, -1, 12, -1, -1, -12, 8, -1, 47, -1, -1, -1, 2, -1, 0, -1, 20, -18, -1, 47, 42, 12, -1, -1, 22, -1, 20, -12, -1, 8, 16, -1, 47, -1, 14, -1, 10, -1, -12, -1, -4, 18, 4, -1, 34, 32, -1, 47, -1, 20, 12, 14, 8, 7, 8, -1, 86, 10, -1, 12, -12, 7, -16, -1, 47, 6, 12, -1, -2, 36, 50, -12, -26, -1, -1, 8, 16, 64, -4, -1, -2, -1, -12, 47, -6, 30, 40, -1, -1, 26, 20, -1, 18, 20, 26, -1, -18, -4, 8, 2, -1, 36, 30, -1, 107, -30, 38, 0, -1, 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mf_twists_nf • Show schema
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id: 991040
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '2730.2.a.n', 'source_level': 2730, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '2730.2.a.n', 'target_level': 2730, 'twist_class_label': '2730.2.a.n', 'twist_class_level': 2730, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 991041
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '2730.2.a.n', 'source_level': 2730, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '8190.2.a.bv', 'target_level': 8190, 'twist_class_label': '2730.2.a.n', 'twist_class_level': 2730, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2819800
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 2}
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id: 2819801
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 3}
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id: 2819802
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 5}
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id: 2819803
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 7}
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id: 2819804
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 11}
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id: 2819805
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 13}
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id: 2819806
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 17}
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id: 2819807
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 19}
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id: 2819808
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 23}
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id: 2819809
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 29}
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id: 2819810
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 31}
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id: 2819811
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 37}
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id: 2819812
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 41}
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id: 2819813
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 43}
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id: 2819814
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 47}
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id: 2819815
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 53}
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id: 2819816
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 59}
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id: 2819817
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 61}
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id: 2819818
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 67}
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id: 2819819
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 71}
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id: 2819820
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 73}
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id: 2819821
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 79}
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id: 2819822
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 83}
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id: 2819823
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 89}
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id: 2819824
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 58546795189373610, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '2730.2.a.n', 'level': 2730, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 58385119
{'hecke_orbit_code': 58546795189373610, 'n': 1, 'trace_an': 1}
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id: 58385120
{'hecke_orbit_code': 58546795189373610, 'n': 2, 'trace_an': -1}
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id: 58385121
{'hecke_orbit_code': 58546795189373610, 'n': 3, 'trace_an': 1}
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id: 58385122
{'hecke_orbit_code': 58546795189373610, 'n': 4, 'trace_an': 1}
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id: 58385123
{'hecke_orbit_code': 58546795189373610, 'n': 5, 'trace_an': -1}
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id: 58385124
{'hecke_orbit_code': 58546795189373610, 'n': 6, 'trace_an': -1}
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id: 58385125
{'hecke_orbit_code': 58546795189373610, 'n': 7, 'trace_an': 1}
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id: 58385126
{'hecke_orbit_code': 58546795189373610, 'n': 8, 'trace_an': -1}
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id: 58385127
{'hecke_orbit_code': 58546795189373610, 'n': 9, 'trace_an': 1}
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id: 58385128
{'hecke_orbit_code': 58546795189373610, 'n': 10, 'trace_an': 1}
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id: 58385129
{'hecke_orbit_code': 58546795189373610, 'n': 11, 'trace_an': 0}
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id: 58385130
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