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{'Nk2': 18480, 'analytic_conductor': 36.89088573383154, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [7, -1], [11, 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': [4620, 1, [2311, 1541, 3697, 661, 2521], [1, 1, 1, 1, 1]], 'cm_discs': [], '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': [[13, [4, 1]], [17, [-3, 1]], [19, [7, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189375500, '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': True, 'label': '4620.2.a.n', 'level': 4620, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'minimal_twist': '4620.2.a.n', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4620/n'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4620.2.a', 'trace_display': [0, 1, 1, 1], 'trace_hash': 296727311295341082, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.053', '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], [-1], [0], [-4], [0], [1], [0], [3], [0], [-7], [0], [1], [0], [-9], [0], [1], [0], [1], [0], [-3], [0], [2], [0], [-1], [0], [1], [0], [-4], [0], [-4], [0], [-6], [0], [-1], [0], [1], [0], [-6], [0], [1], [0], [3], [0], [3], [0], [-1], [0], [-7], [0], [-9], [0], [-1], [0], [1], [0], [-4], [0], [-10], [0], [-9], [0], [6], [0], [8], [0], [1], [0], [-1], [0], [-4], [0], [1], [0], [3], [0], [3], [0], [-3], [0], [-15], [0], [-4], [0], [2], [0], [-7], [0], [-1], [0], [-1], [0]], 'ap': [[0], [1], [1], [1], [-1], [-4], [3], [-7], [-9], [-3], [2], [-4], [-6], [-1], [-6], [3], [-9], [-1], [-10], [6], [8], [-4], [3], [-15], [-1], [18], [-7], [6], [14], [-9], [11], [12], [-6], [-4], [-6], [-10], [11], [-4], [12], [18], [18], [-22], [0], [-22], [12], [8], [2], [-13], [3], [14], [0], [-15], [-10], [12], [0], [-12], [9], [-25], [-22], [18], [-16], [15], [-10], [0], [-19], [6], [23], [29], [-24], [11], [-6], [9], [-19], [5], [11], [0], [0], [14], [-30], [-34], [21], [-19], [-12], [-10], [-7], [-24], [-30], [17], [-6], [-22], [-12], [-24], [2], [-9], [-19], [-15], [-21], [39], [-16], [38], [17], [30], [36], [21], [32], [2], [-36], [6], [30], [5], [-22], [-10], [-18], [26], [-25], [-18], [-31], [-12], [33], [15], [38], [-49], [27], [36], [-10], [39], [-19], [-9], [35], [-22], [-34], [18], [-25], [-34], [30], [-37], [18], [-4], [-30], [-6], [-4], [-45], [-52], [-24], [50], [39], [-34], [42], [-10], [-9], [-13], [45], [-52], [27], [-52], [0], [14], [18], [2], [48], [-33], [6], [-1], [-21], [27], [30], [29], [-10], [20], [-12], [33], [2], [3], [-1], [50], [-30], [56], [-36], [2], [50], [32], [-12], [14], [57], [-33], [57], [-37], [-13], [50], [30], [2], [-66], [20], [63], [-60], [60], [-4], [-4], [-57], [-36], [-27], [-7], [53], [14], [-21], [48], [2], [-42], [21], [-46], [17], [3], [32], [24], [48], [26], [-43], [6], [-24], [9], [32], [32], [30], [-16], [9], [44], [-42], [-42], [8], [-3], [-40], [20], [-16], [45], [41], [-21], [8], [24], [-30], [0], [36], [-43], [-40], [35], [-21], [12], [-16], [-27], [-76], [0], [50], [54], [36], [-70], [-51], [-15], [-43], [-46], [42], [-34], [71], [-36], [65], [2], [12], [80], [-72], [-45], [-13], [-60], [-22], [-22], [-73], [-22], [44], [-16], [63], [-28], [-22], [-24], [-45], [32], [36], [71], [44], [-24], [-10], [-60], [50], [54], [-72], [-72], [0], [24], [26], [0], [-28], [-72], [-36], [-40], [-46], [-60], [44], [-9], [59], [-58], [51], [-40], [-6], [41], [-48], [6], [-33], [-22], [-18], [-31], [-84], [-45], [14], [-15], [32], [-82], [-42], [-76], [36], [80], [92], [-85], [-66], [-12], [-34], [30], [65], [84], [2], [-48], [11], [-42], [-64], [2], [-82], [-51], [-42], [80], [9], [-39], [-4], [2], [0], [18], [23], [-40], [-12], [44], [-28], [27], [0], [-12], [-42], [-39], [-73], [-6], [-12], [-39], [-13], [-46], [75], [29], [-10], [12], [-52], [24], [-3], [-49], [92], [-36], [63], [-4], [72], [8], [21], [-27], [-64], [-6], [71], [54], [89], [5], [20], [-36], [-79], [78], [-42], [59], [-66], [-13], [-28], [-90], [-37], [57], [41], [27], [-103], [-24], [-84], [-43], [-46], [-6], [-67], [105], [-28], [-102], [-60], [-52], [-94], [-105], [3], [-55], [24], [48], [78], [14], [-21], [-78], [65], [-36], [-9], [-81], [-58], [-24]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 58546795189375500, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4620.2.a.n', 'level': 4620, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1], [11, -1]], 4, 1], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, -1]], 2, 2], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, 1]], 2, 1], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, -1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [7, -1], [11, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, -1], [11, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [7, 1], [11, 1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [7, -1], [11, 1]], 1, 1], [[[2, -1], [3, 1], [5, -1], [7, 1], [11, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [7, 1], [11, -1]], 3, 1], [[[2, -1], [3, -1], [5, 1], [7, -1], [11, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [7, 1], [11, 1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [7, 1], [11, -1]], 2, 2], [[[2, -1], [3, 1], [5, 1], [7, -1], [11, -1]], 3, 1], [[[2, -1], [3, 1], [5, -1], [7, 1], [11, -1]], 2, 1]], 'Nk2': 18480, 'analytic_conductor': 36.89088573383154, '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': [4620, 1, [2311, 1541, 3697, 661, 2521], [1, 1, 1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 1129, 'dim': 40, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [13, 17, 19], 'hecke_orbit_code': 33559052, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4], 'label': '4620.2.a', 'level': 4620, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'mf_dim': 1176, 'mf_new_dim': 40, 'num_forms': 24, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 40, 'sturm_bound': 2304, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [40, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -16, 0, -16, 0, 0, 0, 0, 0, 40, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -16, 0, 40, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 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0, -96, 0, -80, 0, -32, 0, -144, 0, -64, 0, -80, 0, 0, 0, -32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
{'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': '4620.2.a.n', 'source_level': 4620, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '4620.2.a.n', 'target_level': 4620, 'twist_class_label': '4620.2.a.n', 'twist_class_level': 4620, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 3653575
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 2}
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id: 3653576
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 3}
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id: 3653577
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 5}
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id: 3653578
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 7}
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id: 3653579
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 11}
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id: 3653580
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 13}
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id: 3653581
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 17}
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id: 3653582
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 19}
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id: 3653583
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 23}
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id: 3653584
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 29}
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id: 3653585
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 31}
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id: 3653586
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 37}
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id: 3653587
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 41}
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id: 3653588
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 43}
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id: 3653589
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 47}
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id: 3653590
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 53}
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id: 3653591
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 59}
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id: 3653592
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 61}
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id: 3653593
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 67}
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id: 3653594
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 71}
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id: 3653595
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 73}
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id: 3653596
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 79}
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id: 3653597
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 83}
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id: 3653598
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 89}
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id: 3653599
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189375500, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '4620.2.a.n', 'level': 4620, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 226945000
{'hecke_orbit_code': 58546795189375500, 'n': 1, 'trace_an': 1}
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id: 226945001
{'hecke_orbit_code': 58546795189375500, 'n': 2, 'trace_an': 0}
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id: 226945002
{'hecke_orbit_code': 58546795189375500, 'n': 3, 'trace_an': 1}
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id: 226945003
{'hecke_orbit_code': 58546795189375500, 'n': 4, 'trace_an': 0}
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id: 226945004
{'hecke_orbit_code': 58546795189375500, 'n': 5, 'trace_an': 1}
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id: 226945005
{'hecke_orbit_code': 58546795189375500, 'n': 6, 'trace_an': 0}
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id: 226945006
{'hecke_orbit_code': 58546795189375500, 'n': 7, 'trace_an': 1}
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id: 226945007
{'hecke_orbit_code': 58546795189375500, 'n': 8, 'trace_an': 0}
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id: 226945008
{'hecke_orbit_code': 58546795189375500, 'n': 9, 'trace_an': 1}
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id: 226945009
{'hecke_orbit_code': 58546795189375500, 'n': 10, 'trace_an': 0}
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id: 226945010
{'hecke_orbit_code': 58546795189375500, 'n': 11, 'trace_an': -1}
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id: 226945011
{'hecke_orbit_code': 58546795189375500, 'n': 12, 'trace_an': 0}
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id: 226945012
{'hecke_orbit_code': 58546795189375500, 'n': 13, 'trace_an': -4}
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id: 226945013
{'hecke_orbit_code': 58546795189375500, 'n': 14, 'trace_an': 0}
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id: 226945014
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