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mf_newforms • Show schema
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{'Nk2': 1336, 'analytic_conductor': 2.667003427510765, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [167, 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': [334, 1, [5], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925262, 'hecke_ring_generator_nbound': 3, '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': '334.2.a.b', 'level': 334, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 167], 'level_radical': 334, 'minimal_twist': '334.2.a.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta q^{3}+q^{4}-q^{5}+\\beta q^{6}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': ['Genus2Curve/Q/111556/a'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '334.2.a', 'trace_display': [-2, -1, -2, 0], 'trace_hash': 64556733824559531, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.944', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.385', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.444', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [2, -2, -1, 2, -2, 1, 0, -2, -3, 2, -5, -1, 0, 0, 1, 2, -5, 3, 0, -2, -5, 5, -4, 1, -8, 0, 2, 0, -12, -1, -4, -2, 0, 5, 0, -3, 3, 0, -5, 2, -8, 5, 9, -5, 3, 4, -6, -1, -4, 8, 10, 0, 5, -2, 5, 0, 5, 12, -2, 1, -5, 4, 5, 2, 0, 0, 11, -5, 7, 0, 4, 3, 1, -3, 4, 0, 5, 5, 12, -2, -2, 8, 23, -5, 5, -9, 1, 5, -2, -3, 10, -4, 17, 6, 0, 1, -6, 4, 10, -8, -20, -10, 17, 0, 5, -5, -1, 2, -6, -5, 21, 0, -13, -5, 4, -12, 5, 2, -15, -1, -7, 5, -1, -4, 18, -5, 9, -2, -17, 0, -8, 0, -10, -11, -2, 5, -31, -7, -10, 0, -12, -4, 5, -3, 12, -1, 2, 3, 6, -4, -16, 0, 0, -5, 4, -5, -11, -12, 0, 2, -10, 2, -3, -8, 0, -23, -2, 5, -16, -5, -5, 9, 16, -1, 0, -5, -9, 2, -27, 3, 2, -10, 5, 4, -3, -17, 5, -6, 20, 0, 26, -1, 5, 6, 5, -4, 13, -10, -9, 8, -13, 20, 10, 10, 8, -17, 1, 0, -5, -5, -11, 5, 28, 1, -9, -2, -30, 6, -3, 5, -15, -21, 26, 0, 12, 13, -6, 5, 2, -4, 10, 12, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, 0], [0, -1], [1, 0], [-1, 0], [0, 1], [-1, 2], [-1, 0], [-2, 1], [1, 0], [-3, 1], [0, -1], [-1, 2], [1, -2], [0, 1], [1, 0], [-1, -3], [2, -1], [1, -2], [-1, 0], [-2, -1], [3, -1], [-1, -2], [0, 1], [-4, 0], [1, -2], [-1, 4], [-1, 2], [-7, 2], [0, -1], [1, -6], [-1, 0], [-1, 2], [1, 3], [1, -2], [-2, 1], [6, -9], [-1, 2], [-2, -1], [1, 0], [-5, 2], [2, 1], [2, 5], [-3, 1], [2, -1], [1, 2], [-6, 6], [0, -1], [-2, 0], [4, 0], [3, 4], [-1, 2], [3, -1], [1, -4], [3, -1], [1, -2], [2, 1], [7, -2], [-3, 4], [0, 1], [-2, -1], [-1, 6], [4, -3], [1, 0], [1, -2], [1, -2], [4, 3], [-1, -3], [2, 3], [-1, 2], [8, -12], [2, -1], [0, 1], [-6, 9], [0, 4], [1, -2], [5, -5], [2, 1], [7, -2], [-1, 0], [2, -6], [5, -2], [13, -3], [-2, -1], [1, 3], [-2, -5], [-2, 5], [3, -1], [-6, 10], [-2, 1], [5, 0], [-1, -2], [6, 5], [6, -6], [-1, 2], [0, 1], [0, -6], [2, 0], [7, -4], [-4, 0]], 'ap': [[-1, 0], [0, -1], [-1, 0], [-1, 2], [-3, 1], [-1, 2], [-1, -3], [1, -2], [-1, -2], [-7, 2], [1, -6], [6, -9], [-5, 2], [2, 5], [-6, 6], [3, -1], [-3, 4], [-2, -1], [4, 3], [8, -12], [0, 1], [7, -2], [13, -3], [-6, 10], [0, -6], [-9, -2], [7, 3], [0, -1], [-6, 6], [-6, -1], [3, 3], [-9, 10], [-15, -1], [-4, -2], [-2, 10], [-5, -6], [-11, 11], [5, -13], [-1, 0], [11, -6], [-12, -3], [-5, 12], [14, -2], [-3, 11], [6, 1], [-11, 13], [-2, -7], [13, 0], [2, -10], [7, -12], [-9, 21], [-20, 7], [-11, 7], [12, 4], [7, -13], [-11, 12], [8, -5], [7, -20], [-13, 12], [-4, 14], [11, 6], [28, -6], [-6, 25], [-3, 9], [-11, 24], [15, -20], [-15, -1], [-22, 1], [-16, 3], [14, -2], [1, -9], [-13, 14], [-3, -6], [7, -11], [11, -15], [1, 7], [-14, -5], [-32, -2], [7, -2], [-3, -7], [-8, 12], [2, -23], [-26, 12], [16, -18], [-23, 2], [4, -27], [11, 2], [-12, -15], [30, 4], [-4, 6], [6, -30], [4, 16], [-19, -7], [-18, -1], [29, 7], [-1, -16], [16, -13], [29, 4], [9, -18], [5, -7], [-8, -4], [9, 21], [15, 2], [-10, -15], [-32, 22], [-1, 16], [19, -7], [3, -13], [10, -17], [-36, 11], [-23, 22], [-29, -4], [20, -11], [-9, -12], [30, 10], [22, -20], [-32, 30], [5, -15], [11, 14], [-3, -6], [23, -32], [13, -38], [-22, -9], [36, -10], [-3, 2], [12, 14], [28, 0], [33, -6], [-1, -14], [30, -19], [31, 2], [-27, -8], [25, -27], [-1, 33], [0, 31], [-2, -11], [1, 30], [17, -8], [21, -9], [-36, 7], [-47, 4], [2, -28], [50, -1], [13, -17], [-12, 22], [-25, 19], [21, -29], [41, -10], [25, 20], [-19, 24], [28, -13], [13, -1], [-9, 9], [-43, -7], [-22, 2], [-2, -15], [-18, 2], [9, 24], [-34, -6], [-51, 6], [-37, 29], [3, -19], [47, 2], [8, -29], [-26, -19], [-29, 6], [-10, 15], [10, -23]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 4503599660925262, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '334.2.a.b', 'level': 334, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [167, -1]], 2, 1], [[[2, 1], [167, -1]], 5, 2], [[[2, -1], [167, 1]], 4, 2], [[[2, 1], [167, 1]], 2, 1]], 'ALdims': [2, 5, 4, 2], 'Nk2': 1336, 'analytic_conductor': 2.667003427510765, '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': [334, 1, [5], [1]], 'conrey_index': 1, 'cusp_dim': 41, 'dim': 13, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33554766, 'hecke_orbit_dims': [1, 2, 2, 2, 3, 3], 'label': '334.2.a', 'level': 334, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 167], 'level_radical': 334, 'mf_dim': 44, 'mf_new_dim': 13, 'num_forms': 6, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 13, 'sturm_bound': 84, 'trace_bound': 3, 'trace_display': [-1, -4, -4, -8], 'traces': [13, -1, -4, 13, -4, 0, -8, -1, 13, -4, 4, -4, 0, 4, 4, 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mf_twists_nf • Show schema
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id: 254423
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '334.2.a.b', 'source_level': 334, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '334.2.a.b', 'target_level': 334, 'twist_class_label': '334.2.a.b', 'twist_class_level': 334, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 254424
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '334.2.a.b', 'source_level': 334, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2672.2.a.e', 'target_level': 2672, 'twist_class_label': '334.2.a.b', 'twist_class_level': 334, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 254425
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '334.2.a.b', 'source_level': 334, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3006.2.a.m', 'target_level': 3006, 'twist_class_label': '334.2.a.b', 'twist_class_level': 334, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 254426
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '334.2.a.b', 'source_level': 334, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '8350.2.a.m', 'target_level': 8350, 'twist_class_label': '334.2.a.b', 'twist_class_level': 334, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 725300
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503599660925262, 'p': 2}
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id: 725301
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 3}
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id: 725302
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503599660925262, 'p': 5}
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id: 725303
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 7}
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id: 725304
{'charpoly_factorization': [[[5, 5, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 11}
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id: 725305
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 13}
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id: 725306
{'charpoly_factorization': [[[-5, 5, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 17}
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id: 725307
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 19}
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id: 725308
{'charpoly_factorization': [[[-1, 4, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 23}
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id: 725309
{'charpoly_factorization': [[[31, 12, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 29}
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id: 725310
{'charpoly_factorization': [[[-41, 4, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 31}
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id: 725311
{'charpoly_factorization': [[[-99, -3, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 37}
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id: 725312
{'charpoly_factorization': [[[11, 8, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 41}
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id: 725313
{'charpoly_factorization': [[[-11, -9, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 43}
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id: 725314
{'charpoly_factorization': [[[-36, 6, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 47}
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id: 725315
{'charpoly_factorization': [[[5, -5, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 53}
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id: 725316
{'charpoly_factorization': [[[-19, 2, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 59}
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id: 725317
{'charpoly_factorization': [[[5, 5, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 61}
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id: 725318
{'charpoly_factorization': [[[19, -11, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 67}
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id: 725319
{'charpoly_factorization': [[[-176, -4, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 71}
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id: 725320
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 73}
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id: 725321
{'charpoly_factorization': [[[31, -12, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 79}
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id: 725322
{'charpoly_factorization': [[[121, -23, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 83}
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id: 725323
{'charpoly_factorization': [[[-124, 2, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 89}
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id: 725324
{'charpoly_factorization': [[[-36, 6, 1], 1]], 'hecke_orbit_code': 4503599660925262, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '334.2.a.b', 'level': 334, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62418000
{'hecke_orbit_code': 4503599660925262, 'n': 1, 'trace_an': 2}
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id: 62418001
{'hecke_orbit_code': 4503599660925262, 'n': 2, 'trace_an': -2}
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