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Setup Infinitesimal Determining System 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Compute Janet Basis 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

SShyYW5raW5nRzYjL0knX2xvY2FsRyUqcHJvdGVjdGVkR0ktX240NTgzMjAxMzEyRzYi

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUREdGKDcjSTNEaWZmZXJlbnRpYWxTeXN0ZW1HNiMvSSdfbG9jYWxHRiZJLV9uNDUzMDkzMzY5NkdGKDcjRi4=

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

Calculate Hilbert Function LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjSEZGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2KS1GLDYjUSFGJy1JI21zR0YkRjtGOi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJy8lKnJlZmVyZW5jZUdRIzMwRicvJTJkaXNwbGF5X3JlZmVyZW5jZUdRIzI5RidGQkY/RkJGREZH

s = 0: 1 s >= 1: 7129/2520*s+1+6515/2016*s^2+4523/2268*s^3+95/128*s^4+3013/17280*s^5+5/192*s^6+29/12096*s^7+1/8064*s^8+1/362880*s^9

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEwSW5kZXhSZWd1bGFyaXR5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNictRiw2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRicvJSpyZWZlcmVuY2VHUSMzMkYnLyUyZGlzcGxheV9yZWZlcmVuY2VHUSMzMUYnRkBGPUZARkJGRQ==

IiIh

JSFH