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{'Nk2': 11840, 'analytic_conductor': 23.635718998298994, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [37, -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': [2960, 1, [2591, 741, 1777, 2481], [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': [[3, [-2, 1]], [7, [-1, 1]], [13, [4, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679891856, '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': '2960.2.a.j', 'level': 2960, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '370.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}-q^{5}+q^{7}+q^{9}-3q^{11}-4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/2960/j'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2960.2.a', 'trace_display': [0, 2, -1, 1], 'trace_hash': 1349961653163959782, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.019', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [2], [0], [-1], [0], [1], [0], [1], [0], [-3], [0], [-4], [0], [-2], [0], [3], [0], [-2], [0], [2], [0], [-6], [0], [1], [0], [-4], [0], [3], [0], [-5], [0], [-6], [0], [-1], [0], [1], [0], [-8], [0], [3], [0], [1], [0], [-1], [0], [-12], [0], [-6], [0], [6], [0], [3], [0], [3], [0], [-4], [0], [0], [0], [-1], [0], [1], [0], [4], [0], [4], [0], [-12], [0], [-6], [0], [-16], [0], [2], [0], [-3], [0], [-8], [0], [-11], [0], [12], [0], [-3], [0], [6], [0], [-6], [0], [-4], [0], [-10], [0], [2], [0], [17], [0], [-3], [0]], 'ap': [[0], [2], [-1], [1], [-3], [-4], [3], [-2], [-6], [3], [-5], [1], [3], [1], [-12], [3], [0], [-1], [4], [-6], [-16], [-8], [12], [-6], [17], [-6], [4], [-6], [11], [9], [-20], [0], [12], [13], [6], [-8], [-13], [-11], [-12], [15], [0], [2], [-3], [14], [-6], [16], [-5], [-17], [27], [14], [0], [9], [-28], [-18], [18], [-9], [-18], [-2], [-28], [24], [4], [21], [34], [9], [26], [-21], [-26], [-4], [12], [26], [-21], [36], [-35], [-22], [16], [24], [9], [-34], [6], [32], [36], [-10], [-15], [2], [-35], [-30], [6], [17], [33], [4], [-27], [-24], [-2], [12], [-14], [-12], [0], [-39], [-20], [2], [1], [12], [3], [-6], [31], [-34], [-27], [-36], [-12], [-19], [22], [29], [0], [-35], [7], [15], [13], [48], [30], [36], [5], [-10], [-42], [15], [19], [30], [35], [42], [28], [-31], [-11], [51], [-14], [-34], [27], [-40], [-39], [22], [-18], [-30], [16], [36], [40], [3], [47], [48], [-10], [-15], [40], [-39], [-13], [15], [-29], [-33], [28], [24], [16], [45], [38], [-18], [-33], [-60], [40], [-57], [-45], [-51], [-47], [-28], [-7], [42], [30], [23], [-3], [-28], [-14], [30], [-62], [30], [-11], [8], [46], [0], [-22], [33], [-39], [30], [-7], [-35], [-4], [12], [-34], [-24], [34], [0], [-42], [-18], [-58], [-28], [-18], [6], [-30], [-8], [-13], [-55], [27], [-48], [-2], [36], [-6], [-5], [-43], [15], [-8], [-42], [-57], [71], [-32], [-60], [-48], [21], [-58], [4], [39], [-56], [-36], [26], [-24], [30], [-35], [42], [-49], [-56], [-68], [6], [10], [63], [-58], [24], [-48], [0], [-39], [-20], [40], [29], [6], [9], [34], [0], [-5], [-36], [-58], [18], [-27], [8], [-66], [-21], [20], [-62], [39], [-25], [10], [-24], [50], [11], [30], [19], [-48], [72], [76], [42], [-22], [43], [-10], [31], [-22], [-65], [-42], [-46], [-79], [-24], [-24], [-23], [-9], [-28], [4], [6], [-43], [-21], [-8], [-6], [21], [60], [24], [-75], [-37], [-18], [10], [78], [-6], [-62], [41], [18], [52], [-12], [22], [83], [-57], [-22], [42], [-52], [-24], [42], [-57], [-32], [60], [20], [-57], [72], [-28], [0], [64], [-58], [-75], [7], [72], [38], [-29], [-17], [0], [-39], [-10], [54], [-17], [-12], [-38], [0], [-88], [0], [-58], [-56], [26], [90], [-90], [55], [60], [0], [-34], [-62], [57], [-81], [-5], [56], [75], [64], [-76], [-24], [-33], [18], [-54], [-36], [8], [-78], [-42], [-24], [70], [71], [-84], [88], [-34], [-24], [70], [39], [0], [-59], [11], [12], [72], [92], [78], [-28], [-33], [6], [-2], [-54], [-14], [63], [-80], [32], [43], [12], [-1], [-60], [-30], [19], [42], [14], [52], [33], [-5], [-60], [104], [-87], [-14], [-54], [90], [-92], [44], [21], [4], [9], [-28], [33], [9], [82], [-85], [102], [12], [55], [54], [90], [-6], [2], [72], [9], [74], [39], [-72], [-15], [16], [-51]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 40532396679891856, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2960.2.a.j', 'level': 2960, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [37, -1]], 12, 6], [[[2, -1], [5, -1], [37, 1]], 7, 3], [[[2, 1], [5, 1], [37, -1]], 11, 3], [[[2, -1], [5, 1], [37, -1]], 7, 3], [[[2, -1], [5, 1], [37, 1]], 10, 6], [[[2, 1], [5, -1], [37, 1]], 11, 2], [[[2, 1], [5, -1], [37, -1]], 6, 4], [[[2, 1], [5, 1], [37, 1]], 8, 2]], 'ALdims': [8, 11, 11, 6, 10, 7, 7, 12], 'Nk2': 11840, 'analytic_conductor': 23.635718998298994, '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': [2960, 1, [2591, 741, 1777, 2481], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 445, 'dim': 72, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33557392, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 5, 5, 5, 5, 6], 'label': '2960.2.a', 'level': 2960, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 468, 'mf_new_dim': 72, 'num_forms': 29, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 912, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 4, 0, 8, 0, 8, 0, 8, 0, 12, 0, 72, 0, 24, 0, 8, 0, 8, 0, 0, 0, -12, 0, 0, 0, 0, 0, -8, 0, -12, 0, 8, 0, -24, 0, 72, 0, -16, 0, 16, 0, 8, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, -8, 0, 24, 0, 0, 0, 48, 0, -16, 0, 80, 0, 0, 0, -16, 0, 48, 0, 16, 0, 64, 0, -16, 0, 0, 0, 40, 0, -24, 0, -24, 0, 68, 0, -8, 0, 16, 0, -16, 0, 0, 0, 8, 0, 8, 0, -16, 0, 56, 0, 96, 0, 72, 0, 0, 0, 0, 0, -40, 0, 0, 0, 16, 0, -8, 0, -24, 0, 72, 0, -56, 0, 16, 0, 0, 0, 80, 0, 40, 0, 80, 0, -24, 0, 16, 0, 8, 0, 88, 0, -8, 0, -12, 0, 0, 0, 84, 0, 120, 0, 120, 0, -24, 0, 0, 0, 0, 0, 32, 0, 8, 0, 120, 0, 0, 0, 64, 0, 64, 0, -48, 0, 56, 0, 0, 0, 8, 0, 88, 0, -8, 0, 32, 0, 24, 0, 20, 0, -32, 0, 80, 0, -48, 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504, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1027828
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2960.2.a.j', 'source_level': 2960, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '370.2.a.a', 'target_level': 370, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1027829
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2960.2.a.j', 'source_level': 2960, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1850.2.a.o', 'target_level': 1850, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1027830
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2960.2.a.j', 'source_level': 2960, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1850.2.b.g', 'target_level': 1850, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1027831
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2960.2.a.j', 'source_level': 2960, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2960.2.a.j', 'target_level': 2960, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1027832
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2960.2.a.j', 'source_level': 2960, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3330.2.a.v', 'target_level': 3330, 'twist_class_label': '370.2.a.a', 'twist_class_level': 370, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2937475
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 2}
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id: 2937476
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 3}
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id: 2937477
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 5}
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id: 2937478
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 7}
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id: 2937479
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 11}
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id: 2937480
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 13}
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id: 2937481
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 17}
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id: 2937482
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 19}
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id: 2937483
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 23}
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id: 2937484
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 29}
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id: 2937485
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 31}
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id: 2937486
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 37}
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id: 2937487
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 41}
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id: 2937488
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 43}
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id: 2937489
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 47}
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id: 2937490
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 53}
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id: 2937491
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 59}
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id: 2937492
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 61}
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id: 2937493
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 67}
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id: 2937494
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 71}
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id: 2937495
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 73}
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id: 2937496
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 79}
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id: 2937497
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 83}
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id: 2937498
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 89}
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id: 2937499
{'charpoly_factorization': [[[-17, 1], 1]], 'hecke_orbit_code': 40532396679891856, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '2960.2.a.j', 'level': 2960, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 203854000
{'hecke_orbit_code': 40532396679891856, 'n': 1, 'trace_an': 1}
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id: 203854001
{'hecke_orbit_code': 40532396679891856, 'n': 2, 'trace_an': 0}
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id: 203854002
{'hecke_orbit_code': 40532396679891856, 'n': 3, 'trace_an': 2}
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