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Appendix ACoefficients of f dIn another dream, I had a chlorophyll habit. Meand about five other chlorophyll addicts arewaiting to score on the landing of a cheapMexican hotel. We turn green and no one cankick a chlorophyll habit. One shot and you’rehung for life. We are turning into plants.JunkyWilliam S. Burroughs [33]In this section, we give the normalized coefficients a d,n(i 1,...,i n) of the multivariate polynomials P n dfor the first few d’s. In the following tables, 4ˆn means an exponential where the exponent isthe opposite of the sum of n different β i ’s. The total degree of the correpsonding multivariatepolynomial is exactly d − 1, except for n = 0. The n-tuples then indicate the multi-exponent ofthe monomials and are followed by the corresponding coefficients. The omitted coefficients areobtained from the previous ones by permuting the β i ’s. These coefficients were obtained usingSage [250], Pynac [268] and Maxima [267].Table A.1: Coefficients for d = 1, normalized by (1/3) = (1/3 1 )4ˆ 1 4ˆ 0(0, ) 2 () 1Table A.2: Coefficients for d = 2, normalized by (1/9) = (1/3 2 )4ˆ 2 4ˆ 1 4ˆ 0(1, 0) −2 (1, ) 2(0, 0) 20/3 (0, ) −2/3 () 11/3