Xi = 17/1024 delta_0 + 1 delta_(1/4,1/8), dust 5/8, rho = 13833/5120
level 2: solvable; q = ['9222/10957', '1735/10957'] ; sum = 1 ; q >= 0: True ; unique: True
level 3: solvable; q = ['53/70', '10229/54785', '43063/766990'] ; sum = 1 ; q >= 0: True ; unique: True
level 4: solvable; q = ['106/149', '53/298', '421721/4897779', '241301/9795558'] ; sum = 1 ; q >= 0: True ; unique: True
level 5: solvable; q = ['23055/33517', '5300/33517', '9805/100551', '16183550/367245769', '1245097/100157937'] ; sum = 1 ; q >= 0: True ; unique: True
level 6: NO solution of the full system (R_n). hook-q = {q1: 12296/18143, q2: 82805875/608098931, q3: 80257544900/815460666471, q4: 638294840375/11416449330594, q5: 140138120803951/5685910696150839, q6: 236058597028355/34115464176905034} ; failing partitions: [((4, 2), '-1072617989416/62545017657659229'), ((3, 3), '3435702810172/187635052972977687'), ((3, 2, 1), '39121971094/62545017657659229'), ((2, 2, 2), '-92094918940/62545017657659229'), ((2, 2, 1, 1), '367050883928/62545017657659229')]
