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{'Nk2': 38988, 'analytic_conductor': 77.83018685014198, 'analytic_rank': 2, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [19, 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': [9747, 1, [6860, 2890], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-3, 0, 3, 1]], [5, [-3, 0, 3, 1]], [7, [19, 24, 9, 1]], [13, [19, 24, 9, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580974099, 'hecke_ring_generator_nbound': 2, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9747.2.a.u', 'level': 9747, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'minimal_twist': '513.2.y.a', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(1-2\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9747.2.a', 'trace_display': [-3, 0, -3, -9], 'trace_hash': 793003274213015501, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.849', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [-1, 1, 0], [0, 0, 0], [1, -2, 1], [-1, 0, -1], [0, 0, 0], [-3, 1, -1], [-2, 2, -3], [0, 0, 0], [0, -2, 1], [-3, 1, 1], [0, 0, 0], [-3, 0, 1], [4, -5, 2], [0, 0, 0], [1, -3, 3], [-1, -4, 4], [0, 0, 0], [0, 0, 0], [-1, 3, -1], [0, 0, 0], [6, -3, 0], [1, -1, 0], [0, 0, 0], [-2, 1, 1], [4, -2, -1], [0, 0, 0], [-6, 9, -5], [-2, -3, 1], [0, 0, 0], [0, 3, -5], [0, 3, 0], [0, 0, 0], [-3, 7, -8], [4, -1, 3], [0, 0, 0], [-9, -2, 2], [0, 0, 0], [0, 0, 0], [6, -1, 2], [-7, 0, -1], [0, 0, 0], [-6, -2, -1], [-6, 7, -5], [0, 0, 0], [-3, 2, -1], [-2, -1, -3], [0, 0, 0], [4, -7, 6], [5, -2, 0], [0, 0, 0], [-3, 5, -3], [-2, -3, 4], [0, 0, 0], [0, -3, 3], [11, -10, 10], [0, 0, 0], [-3, 2, -4], [-1, 1, -3], [0, 0, 0], [-3, -3, 4], [1, -8, 8], [0, 0, 0], [4, 3, -3], [1, -1, 3], [0, 0, 0], [-3, -1, 0], [11, -10, 7], [0, 0, 0], [-3, 8, -4], [-1, 1, 6], [0, 0, 0], [-6, 1, -4], [7, -5, -4], [0, 0, 0], [0, 0, 0], [9, -7, 2], [0, 0, 0], [0, 7, 2], [-4, 3, -1], [0, 0, 0], [6, -8, 1], [0, -3, 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0, 36], [16, -18, 49], [-22, -11, 21], [-1, -2, 22], [-16, -17, 13], [-7, -41, 39], [33, 5, -19], [24, -25, 18], [-18, 37, -1], [10, 35, -15], [-55, -3, 6], [-1, 16, -8], [-18, -14, 16], [-58, -8, 0], [11, 34, -9], [7, 4, -16], [1, -26, 23], [-19, 1, -8], [1, 4, -22], [28, 24, -14], [0, -27, 39], [29, -17, 49], [8, 10, 16], [-9, 6, 9], [-12, -18, 40], [-27, -28, 9], [-68, 2, -12], [27, -14, 17], [-1, -37, 37], [-1, -29, 36], [-39, -47, 23], [24, 62, -36], [32, 1, 30], [0, -25, 38], [-37, -29, -5], [-8, -53, 29], [-60, -19, 12], [18, -29, 55], [21, 53, -34], [-25, -56, 31], [-52, 27, 14], [-9, 10, -28], [-19, -15, -10], [30, -22, 60], [-49, 10, 4], [11, 28, -23], [0, -3, 21], [3, 41, -3], [-28, -19, 13], [12, 1, 7], [9, -4, 15], [-59, 0, -17], [-19, 25, 13], [51, 24, 4], [-45, 13, -14], [-12, -12, -32], [-4, -3, -1], [6, 0, 55], [-22, 29, -44], [-19, -27, 18], [-1, -43, -11], [-32, -16, 33], [-15, 15, -8], [-51, 25, 20], [-6, -31, 5], [8, 19, 25], [-6, 6, 30], [-12, 28, 20], [-56, -2, -4], [-45, -19, 17], [51, 0, 4], [-13, -3, -33], [-42, 7, -38], [-23, -29, -1], [35, -15, -15], [1, 1, -43], [16, -34, -18], [11, 10, -21], [18, -44, 11], [9, -30, 30], [-65, 3, -11], [51, 12, -11], [18, -53, -5], [-39, 3, -3], [41, 27, -1], [33, -26, 2], [77, -2, 9]], 'char_orbit_index': 1, 'field_poly': [-1, -3, 0, 1], 'hecke_orbit_code': 90071992580974099, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '9747.2.a.u', 'level': 9747, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [108, 120, 119, 108], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [29, 30, 30, 30], 'ALdims_old': [153, 158, 161, 154], 'Nk2': 38988, 'analytic_conductor': 77.83018685014198, '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': [9747, 1, [6860, 2890], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1081, 'dim': 455, 'eis_dim': 119, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 7, 13], 'hecke_orbit_code': 33564179, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 18, 18, 18, 18, 24, 24, 24, 24, 24, 24], 'label': '9747.2.a', 'level': 9747, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'mf_dim': 1200, 'mf_new_dim': 455, 'num_forms': 64, 'plus_dim': 216, 'prim_orbit_index': 1, 'relative_dim': 455, 'sturm_bound': 2280, 'trace_bound': 91, 'trace_display': [0, 0, 0, -3], 'traces': [455, 0, 0, 458, 0, 0, -3, 0, 0, 4, 0, 0, 11, 0, 0, 476, 0, 0, 0, 0, 0, 8, 0, 0, 465, 0, 0, -10, 0, 0, -12, 0, 0, -20, 0, 0, 33, 0, 0, -24, 0, 0, -36, 0, 0, -4, 0, 0, 442, 0, 0, 18, 0, 0, -4, 0, 0, 56, 0, 0, 37, 0, 0, 500, 0, 0, 31, 0, 0, -24, 0, 0, -5, 0, 0, 0, 0, 0, 51, 0, 0, -52, 0, 0, 44, 0, 0, 84, 0, 0, -63, 0, 0, 12, 0, 0, 15, 0, 0, 506, 0, 0, 17, 0, 0, 28, 0, 0, 26, 0, 0, -72, 0, 0, -76, 0, 0, 64, 0, 0, 395, 0, 0, 44, 0, 0, 4, 0, 0, 144, 0, 0, 0, 0, 0, 36, 0, 0, -67, 0, 0, -68, 0, 0, 32, 0, 0, 158, 0, 0, -73, 0, 0, 80, 0, 0, -38, 0, 0, -64, 0, 0, -3, 0, 0, -20, 0, 0, 516, 0, 0, -104, 0, 0, -113, 0, 0, 4, 0, 0, -49, 0, 0, -48, 0, 0, -68, 0, 0, 0, 0, 0, 1, 0, 0, 516, 0, 0, -103, 0, 0, -12, 0, 0, -44, 0, 0, 24, 0, 0, -111, 0, 0, 48, 0, 0, -40, 0, 0, -28, 0, 0, -40, 0, 0, 44, 0, 0, 94, 0, 0, 100, 0, 0, -92, 0, 0, -92, 0, 0, 59, 0, 0, -34, 0, 0, 0, 0, 0, 48, 0, 0, 76, 0, 0, 696, 0, 0, -13, 0, 0, -80, 0, 0, 144, 0, 0, 22, 0, 0, -87, 0, 0, 60, 0, 0, -56, 0, 0, 84, 0, 0, -242, 0, 0, -100, 0, 0, 513, 0, 0, -114, 0, 0, -108, 0, 0, -36, 0, 0, -2, 0, 0, 0, 0, 0, -56, 0, 0, -300, 0, 0, -77, 0, 0, 2, 0, 0, 152, 0, 0, -176, 0, 0, 137, 0, 0, -80, 0, 0, -91, 0, 0, -20, 0, 0, -13, 0, 0, 52, 0, 0, -207, 0, 0, -192, 0, 0, 77, 0, 0, 64, 0, 0, 24, 0, 0, -24, 0, 0, 0, 0, 0, -134, 0, 0, 41, 0, 0, -112, 0, 0, 41, 0, 0, -300, 0, 0, -57, 0, 0, -96, 0, 0, -100, 0, 0, 26, 0, 0, 52, 0, 0, 132, 0, 0, -58, 0, 0, 832, 0, 0, 90, 0, 0, 160, 0, 0, -101, 0, 0, -162, 0, 0, 44, 0, 0, 0, 0, 0, 163, 0, 0, 80, 0, 0, -143, 0, 0, 116, 0, 0, -46, 0, 0, 264, 0, 0, 36, 0, 0, -88, 0, 0, 136, 0, 0, 208, 0, 0, 216, 0, 0, 60, 0, 0, -18, 0, 0, 32, 0, 0, -63, 0, 0, 256, 0, 0, -27, 0, 0, -40, 0, 0, 0, 0, 0, 84, 0, 0, -249, 0, 0, 282, 0, 0, 25, 0, 0, 416, 0, 0, -164, 0, 0, -100, 0, 0, 224, 0, 0, -196, 0, 0, 72, 0, 0, -116, 0, 0, 123, 0, 0, -48, 0, 0, -240, 0, 0, 252, 0, 0, -29, 0, 0, 52, 0, 0, 347, 0, 0, 0, 0, 0, -224, 0, 0, 280, 0, 0, 135, 0, 0, -76, 0, 0, 85, 0, 0, -28, 0, 0, 49, 0, 0, -118, 0, 0, 100, 0, 0, -156, 0, 0, 48, 0, 0, -120, 0, 0, 131, 0, 0, -104, 0, 0, 63, 0, 0, 4, 0, 0, -100, 0, 0, -152, 0, 0, 0, 0, 0, 68, 0, 0, 112, 0, 0, 120, 0, 0, 62, 0, 0, 18, 0, 0, 77, 0, 0, 232, 0, 0, -17, 0, 0, 384, 0, 0, 27, 0, 0, 16, 0, 0, 367, 0, 0, -368, 0, 0, 11, 0, 0, -152, 0, 0, -102, 0, 0, 36, 0, 0, 212, 0, 0, 0, 0, 0, 20, 0, 0, -126, 0, 0, -92, 0, 0, 156, 0, 0, 145, 0, 0, -300, 0, 0, 0, 0, 0, -40, 0, 0, -63, 0, 0, 420, 0, 0, -171, 0, 0, 116, 0, 0, -160, 0, 0, -280, 0, 0, 2, 0, 0, -236, 0, 0, 204, 0, 0, 74, 0, 0, 0, 0, 0, -380, 0, 0, -69, 0, 0, -176, 0, 0, -360, 0, 0, -336, 0, 0, -233, 0, 0, -366, 0, 0, -172, 0, 0, -404, 0, 0, -344, 0, 0, -56, 0, 0, 68, 0, 0, 312, 0, 0, 328, 0, 0, -160, 0, 0, 11, 0, 0, -44, 0, 0, -141, 0, 0, 0, 0, 0, 166, 0, 0, 208, 0, 0, 273, 0, 0, 70, 0, 0, -256, 0, 0, 516, 0, 0, -36, 0, 0, 408, 0, 0, 287, 0, 0, 208, 0, 0, -191, 0, 0, -446, 0, 0, -52, 0, 0, 336, 0, 0, -264, 0, 0, -120, 0, 0, -268, 0, 0, 36, 0, 0, 0, 0, 0, 32, 0, 0, -427, 0, 0, 128, 0, 0, -157, 0, 0, 140, 0, 0, -180, 0, 0, 148, 0, 0, 549, 0, 0, -406, 0, 0, 5, 0, 0, -56, 0, 0, 21, 0, 0, 212, 0, 0, -103, 0, 0, -92, 0, 0, 380, 0, 0, 212, 0, 0, -391, 0, 0, 0, 0, 0, -123, 0, 0, 244, 0, 0, 93, 0, 0, 32, 0, 0, -212, 0, 0, -24, 0, 0, 56, 0, 0, -60, 0, 0, 52, 0, 0, -72, 0, 0, -65, 0, 0, 372, 0, 0, 180, 0, 0, 452, 0, 0, -120, 0, 0, -24, 0, 0, -37, 0, 0, 4, 0, 0, 0, 0, 0, -36, 0, 0, 93, 0, 0, -440, 0, 0, -260, 0, 0, 388, 0, 0, 267, 0, 0, 336, 0, 0, -92, 0, 0, 312, 0, 0, 447, 0, 0, -30, 0, 0, -237, 0, 0, -20, 0, 0, -367, 0, 0, 4, 0, 0, 372, 0, 0, -56, 0, 0, 28, 0, 0, 0, 0, 0, -75, 0, 0, -236, 0, 0, -274, 0, 0, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1445349
{'conductor': 57, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9747.2.a.u', 'source_level': 9747, 'target_char_orbit': 25, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '513.2.y.a', 'target_level': 513, 'twist_class_label': '513.2.y.a', 'twist_class_level': 513, 'twisting_char_label': '57.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1445350
{'conductor': 19, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9747.2.a.u', 'source_level': 9747, 'target_char_orbit': 25, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '513.2.y.c', 'target_level': 513, 'twist_class_label': '513.2.y.a', 'twist_class_level': 513, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1445351
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9747.2.a.u', 'source_level': 9747, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '9747.2.a.u', 'target_level': 9747, 'twist_class_label': '513.2.y.a', 'twist_class_level': 513, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1445352
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9747.2.a.u', 'source_level': 9747, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '9747.2.a.v', 'target_level': 9747, 'twist_class_label': '513.2.y.a', 'twist_class_level': 513, 'twisting_char_label': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1445353
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9747.2.a.u', 'source_level': 9747, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '9747.2.a.bb', 'target_level': 9747, 'twist_class_label': '513.2.y.a', 'twist_class_level': 513, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1445354
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '9747.2.a.u', 'source_level': 9747, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '9747.2.a.bd', 'target_level': 9747, 'twist_class_label': '513.2.y.a', 'twist_class_level': 513, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5110400
{'charpoly_factorization': [[[-3, 0, 3, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 2}
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id: 5110401
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 90071992580974099, 'p': 3}
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id: 5110402
{'charpoly_factorization': [[[-3, 0, 3, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 5}
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id: 5110403
{'charpoly_factorization': [[[19, 24, 9, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 7}
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id: 5110404
{'charpoly_factorization': [[[-9, 18, 9, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 11}
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id: 5110405
{'charpoly_factorization': [[[19, 24, 9, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 13}
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id: 5110406
{'charpoly_factorization': [[[-111, -45, 3, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 17}
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id: 5110407
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 90071992580974099, 'p': 19}
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id: 5110408
{'charpoly_factorization': [[[3, 0, -3, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 23}
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id: 5110409
{'charpoly_factorization': [[[-51, -9, 6, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 29}
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id: 5110410
{'charpoly_factorization': [[[-107, -57, 0, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 31}
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id: 5110411
{'charpoly_factorization': [[[613, 231, 27, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 37}
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id: 5110412
{'charpoly_factorization': [[[321, 144, 21, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 41}
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id: 5110413
{'charpoly_factorization': [[[127, 87, 18, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 43}
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id: 5110414
{'charpoly_factorization': [[[-51, -27, 6, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 47}
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id: 5110415
{'charpoly_factorization': [[[-51, -27, 6, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 53}
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id: 5110416
{'charpoly_factorization': [[[-57, -18, 3, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 59}
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id: 5110417
{'charpoly_factorization': [[[-71, -12, 9, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 61}
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id: 5110418
{'charpoly_factorization': [[[19, 24, 9, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 67}
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id: 5110419
{'charpoly_factorization': [[[-57, -126, 3, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 71}
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id: 5110420
{'charpoly_factorization': [[[-107, 69, 18, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 73}
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id: 5110421
{'charpoly_factorization': [[[-1007, -201, 0, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 79}
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id: 5110422
{'charpoly_factorization': [[[27, -27, 0, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 83}
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id: 5110423
{'charpoly_factorization': [[[381, 288, 33, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 89}
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id: 5110424
{'charpoly_factorization': [[[-17, -168, 3, 1], 1]], 'hecke_orbit_code': 90071992580974099, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '9747.2.a.u', 'level': 9747, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64647553
{'hecke_orbit_code': 90071992580974099, 'n': 1, 'trace_an': 3}
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id: 64647554
{'hecke_orbit_code': 90071992580974099, 'n': 2, 'trace_an': -3}
-
id: 64647555
{'hecke_orbit_code': 90071992580974099, 'n': 3, 'trace_an': 0}
-
id: 64647556
{'hecke_orbit_code': 90071992580974099, 'n': 4, 'trace_an': 3}
-
id: 64647557
{'hecke_orbit_code': 90071992580974099, 'n': 5, 'trace_an': -3}
-
id: 64647558
{'hecke_orbit_code': 90071992580974099, 'n': 6, 'trace_an': 0}
-
id: 64647559
{'hecke_orbit_code': 90071992580974099, 'n': 7, 'trace_an': -9}
-
id: 64647560
{'hecke_orbit_code': 90071992580974099, 'n': 8, 'trace_an': -6}
-
id: 64647561
{'hecke_orbit_code': 90071992580974099, 'n': 9, 'trace_an': 0}
-
id: 64647562
{'hecke_orbit_code': 90071992580974099, 'n': 10, 'trace_an': 0}
-
id: 64647563
{'hecke_orbit_code': 90071992580974099, 'n': 11, 'trace_an': -9}
-
id: 64647564
{'hecke_orbit_code': 90071992580974099, 'n': 12, 'trace_an': 0}
-
id: 64647565
{'hecke_orbit_code': 90071992580974099, 'n': 13, 'trace_an': -9}
-
id: 64647566
{'hecke_orbit_code': 90071992580974099, 'n': 14, 'trace_an': 12}
-
id: 64647567
{'hecke_orbit_code': 90071992580974099, 'n': 15, 'trace_an': 0}
-
id: 64647568
{'hecke_orbit_code': 90071992580974099, 'n': 16, 'trace_an': 3}
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id: 64647569
{'hecke_orbit_code': 90071992580974099, 'n': 17, 'trace_an': -3}
-
id: 64647570
{'hecke_orbit_code': 90071992580974099, 'n': 18, 'trace_an': 0}
-
id: 64647571
{'hecke_orbit_code': 90071992580974099, 'n': 19, 'trace_an': 0}
-
id: 64647572
{'hecke_orbit_code': 90071992580974099, 'n': 20, 'trace_an': -3}
-
id: 64647573
{'hecke_orbit_code': 90071992580974099, 'n': 21, 'trace_an': 0}
-
id: 64647574
{'hecke_orbit_code': 90071992580974099, 'n': 22, 'trace_an': 18}
-
id: 64647575
{'hecke_orbit_code': 90071992580974099, 'n': 23, 'trace_an': 3}
-
id: 64647576
{'hecke_orbit_code': 90071992580974099, 'n': 24, 'trace_an': 0}
-
id: 64647577
{'hecke_orbit_code': 90071992580974099, 'n': 25, 'trace_an': -6}
-
id: 64647578
{'hecke_orbit_code': 90071992580974099, 'n': 26, 'trace_an': 12}
-
id: 64647579
{'hecke_orbit_code': 90071992580974099, 'n': 27, 'trace_an': 0}
-
id: 64647580
{'hecke_orbit_code': 90071992580974099, 'n': 28, 'trace_an': -18}
-
id: 64647581
{'hecke_orbit_code': 90071992580974099, 'n': 29, 'trace_an': -6}
-
id: 64647582
{'hecke_orbit_code': 90071992580974099, 'n': 30, 'trace_an': 0}
-
id: 64647583
{'hecke_orbit_code': 90071992580974099, 'n': 31, 'trace_an': 0}
-
id: 64647584
{'hecke_orbit_code': 90071992580974099, 'n': 32, 'trace_an': 0}
-
id: 64647585
{'hecke_orbit_code': 90071992580974099, 'n': 33, 'trace_an': 0}
-
id: 64647586
{'hecke_orbit_code': 90071992580974099, 'n': 34, 'trace_an': -9}
-
id: 64647587
{'hecke_orbit_code': 90071992580974099, 'n': 35, 'trace_an': 12}
-
id: 64647588
{'hecke_orbit_code': 90071992580974099, 'n': 36, 'trace_an': 0}
-
id: 64647589
{'hecke_orbit_code': 90071992580974099, 'n': 37, 'trace_an': -27}
-
id: 64647590
{'hecke_orbit_code': 90071992580974099, 'n': 38, 'trace_an': 0}
-
id: 64647591
{'hecke_orbit_code': 90071992580974099, 'n': 39, 'trace_an': 0}
-
id: 64647592
{'hecke_orbit_code': 90071992580974099, 'n': 40, 'trace_an': 18}
-
id: 64647593
{'hecke_orbit_code': 90071992580974099, 'n': 41, 'trace_an': -21}
-
id: 64647594
{'hecke_orbit_code': 90071992580974099, 'n': 42, 'trace_an': 0}
-
id: 64647595
{'hecke_orbit_code': 90071992580974099, 'n': 43, 'trace_an': -18}
-
id: 64647596
{'hecke_orbit_code': 90071992580974099, 'n': 44, 'trace_an': -18}
-
id: 64647597
{'hecke_orbit_code': 90071992580974099, 'n': 45, 'trace_an': 0}
-
id: 64647598
{'hecke_orbit_code': 90071992580974099, 'n': 46, 'trace_an': -9}
-
id: 64647599
{'hecke_orbit_code': 90071992580974099, 'n': 47, 'trace_an': -6}
-
id: 64647600
{'hecke_orbit_code': 90071992580974099, 'n': 48, 'trace_an': 0}
-
id: 64647601
{'hecke_orbit_code': 90071992580974099, 'n': 49, 'trace_an': 12}
-
id: 64647602
{'hecke_orbit_code': 90071992580974099, 'n': 50, 'trace_an': 15}
-
id: 64647603
{'hecke_orbit_code': 90071992580974099, 'n': 51, 'trace_an': 0}
-
id: 64647604
{'hecke_orbit_code': 90071992580974099, 'n': 52, 'trace_an': -9}
-
id: 64647605
{'hecke_orbit_code': 90071992580974099, 'n': 53, 'trace_an': -6}
-
id: 64647606
{'hecke_orbit_code': 90071992580974099, 'n': 54, 'trace_an': 0}
-
id: 64647607
{'hecke_orbit_code': 90071992580974099, 'n': 55, 'trace_an': 0}
-
id: 64647608
{'hecke_orbit_code': 90071992580974099, 'n': 56, 'trace_an': 33}
-
id: 64647609
{'hecke_orbit_code': 90071992580974099, 'n': 57, 'trace_an': 0}
-
id: 64647610
{'hecke_orbit_code': 90071992580974099, 'n': 58, 'trace_an': -9}
-
id: 64647611
{'hecke_orbit_code': 90071992580974099, 'n': 59, 'trace_an': -3}
-
id: 64647612
{'hecke_orbit_code': 90071992580974099, 'n': 60, 'trace_an': 0}
-
id: 64647613
{'hecke_orbit_code': 90071992580974099, 'n': 61, 'trace_an': -9}
-
id: 64647614
{'hecke_orbit_code': 90071992580974099, 'n': 62, 'trace_an': 3}
-
id: 64647615
{'hecke_orbit_code': 90071992580974099, 'n': 63, 'trace_an': 0}
-
id: 64647616
{'hecke_orbit_code': 90071992580974099, 'n': 64, 'trace_an': 12}
-
id: 64647617
{'hecke_orbit_code': 90071992580974099, 'n': 65, 'trace_an': 3}
-
id: 64647618
{'hecke_orbit_code': 90071992580974099, 'n': 66, 'trace_an': 0}
-
id: 64647619
{'hecke_orbit_code': 90071992580974099, 'n': 67, 'trace_an': -9}
-
id: 64647620
{'hecke_orbit_code': 90071992580974099, 'n': 68, 'trace_an': 33}
-
id: 64647621
{'hecke_orbit_code': 90071992580974099, 'n': 69, 'trace_an': 0}
-
id: 64647622
{'hecke_orbit_code': 90071992580974099, 'n': 70, 'trace_an': -9}
-
id: 64647623
{'hecke_orbit_code': 90071992580974099, 'n': 71, 'trace_an': -3}
-
id: 64647624
{'hecke_orbit_code': 90071992580974099, 'n': 72, 'trace_an': 0}
-
id: 64647625
{'hecke_orbit_code': 90071992580974099, 'n': 73, 'trace_an': -18}
-
id: 64647626
{'hecke_orbit_code': 90071992580974099, 'n': 74, 'trace_an': 21}
-
id: 64647627
{'hecke_orbit_code': 90071992580974099, 'n': 75, 'trace_an': 0}
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