$j=$ 1	2	3	4	5	6
i	$c_i$	$a_{ij}$						${\widehat{b}}_i$	$b_i$
1	0							$\frac{35}{384}$	$\frac{5179}{57600}$
2	$\frac{1}{5}$	$\frac{1}{5}$						0	0
3	$\frac{3}{10}$	$\frac{3}{40}$	$\frac{9}{40}$					$\frac{500}{1113}$	$\frac{7571}{16695}$
4	$\frac{4}{5}$	$\frac{44}{45}$	−$\frac{56}{15}$	$\frac{32}{9}$				$\frac{125}{192}$	$\frac{393}{640}$
5	$\frac{8}{9}$	$\frac{19372}{6561}$	−$\frac{25360}{2187}$	$\frac{64448}{6561}$	−$\frac{212}{729}$			−$\frac{2187}{6784}$	−$\frac{92097}{339200}$
6	1	$\frac{9017}{3168}$	−$\frac{355}{33}$	$\frac{46732}{5247}$	$\frac{49}{176}$	−$\frac{5103}{18656}$		$\frac{11}{84}$	$\frac{187}{2100}$
7	1	$\frac{35}{384}$	0	$\frac{500}{1113}$	$\frac{125}{192}$	−$\frac{2187}{6784}$	$\frac{11}{84}$	0	$\frac{1}{40}$