differentials -- Generate the differentials of the Kustin-Miller resolution

Generate the j-th differential of a Kustin-Miller resolution of length g. So, e.g., for j=1 we obtain the relations of the ring resolved and for j=2 the first syzygies of those.

We use the notation of Section 2.3 of

J. Boehm, S. Papadakis: On the structure of Stanley-Reisner rings associated to cyclic polytopes, http://arxiv.org/abs/0912.2152 [math.AC]

For any j the last entry of L should be the variable T.

For j=1 we assume L = {b₁, beta₁, a₁, T }.

For j=2 we assume L = {b₂, beta₂, h₁, a₂, alpha₁, T }.

For j=3,...,g-1 we assume L = {b_j, beta_j, h_j-1, a_j, alpha_j-1, b_j-1, T }.

For j=g-1 we assume L = {beta_g-1, h_g-1, a_g-1, alpha_g-2, b_g-2, T }.

For j=g we assume L = {alpha_g-1, a_g, b_g-1, u, T }.

Finally s equals k₁-k₂.