x = (1/4, 1/8), dust 5/8 ; c = 1
G1 = 0 solved for a: [17/1024]
a = 17/1024  rho = 13833/5120
consistency violations among rates: 0
level 2: q = {1: '9222/10957', 2: '1735/10957'} ; sum q = 1 ; all equations hold: True ; q >= 0: True
level 3: q = {1: '53/70', 2: '10229/54785', 3: '43063/766990'} ; sum q = 1 ; all equations hold: True ; q >= 0: True
level 4: q = {1: '106/149', 2: '53/298', 3: '421721/4897779', 4: '241301/9795558'} ; sum q = 1 ; all equations hold: True ; q >= 0: True
level 5: q = {1: '23055/33517', 2: '5300/33517', 3: '9805/100551', 4: '16183550/367245769', 5: '1245097/100157937'} ; sum q = 1 ; all equations hold: True ; q >= 0: True
level 6: q = {1: '12296/18143', 2: '82805875/608098931', 3: '80257544900/815460666471', 4: '638294840375/11416449330594', 5: '140138120803951/5685910696150839', 6: '236058597028355/34115464176905034'} ; sum q = 26799502028803541/26805007567568241 ; all equations hold: False ; q >= 0: True
     residual at partition (4, 2): -1072617989416/62545017657659229
     residual at partition (3, 3): 3435702810172/187635052972977687
     residual at partition (3, 2, 1): 39121971094/62545017657659229
     residual at partition (2, 2, 2): -92094918940/62545017657659229
     residual at partition (2, 2, 1, 1): 367050883928/62545017657659229
