LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=(I). Determination of the coefficients q_1, h_0,h_1 of Theorem 5.4 In the following, let X=(1-x/x_0)^{1/2}. JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=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(II). Determination of the coefficients of X and X^3 in the asymptotic expansion of T.JSFHWe define truncations for the singular expansion of T_*(x) and regular expansions of T_*(x^2) and T_*(x^4).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We define the operators for MSET2 and MSET2(MSET2), using the respective cycle-index series.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Using these operators, we define the singular expansions of the OGFs for T rooted at a circle, a triangle, a square, and a directed edge.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkM=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
Finally, we apply the dissymmetry theorem to obtain a singular expansion for T.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=The coefficients of X, X^2 and X^3 in the singular expansion of T=H0+H1X+H2X^2+H3X^3+... at rho are the following: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JSFHJSFHThe coefficients of TS=A0+A1X+A2X^2+A3X^3 depend on the coefficients of T_diam=L0+L1X+L2X^2+L3X^3 in the following way, considering the regular expansion on r of exp(L0+sum_{k>1}Tdiam(x^k)/k)=K0+K2X^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JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=(III). Computation of the truncated Ti(x).LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkM=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkM=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkM=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JSFHJSFHJSFH(IV). Computation of the constants. We need A0,A1,A2,A3,C0,C2.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For A_i we need the coefficients of the singular expansion of T_diamond, L0,L_1,L3 and K0,K2. These can be found by the formulas in (I) and by definition of K0,K2 in (II). 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JSFHJSFHAi are automatically computed and what remains for H_i are the values of C0,C2,F0,F2.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEjSDBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLUYsNiVRI0gxRidGL0YyRjUtRiw2JVEjSDJGJ0YvRjJGNS1GLDYlUSNIM0YnRi9GMi8lK2V4ZWN1dGFibGVHRj1GOQ==JSFHJSFHJSFHDenote by G=G0+G2X^2+G3X^3 the truncated singular expansion of G (generating function in the general case) on r. We use the relations in the end of (II), since the situation is similar.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkM=JSFH(V). Relative 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In the case of T.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JSFHIn the case of G. 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMvJStleGVjdXRhYmxlR0Y0Ri8=