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Setup Infinitesimal Determining System 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Compute Janet Basis 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LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUREdGKDcjSTNEaWZmZXJlbnRpYWxTeXN0ZW1HNiMvSSdfbG9jYWxHRiZJLV9uNDUzMzMwNzAyNEdGKDcjRi4=

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

Calculate Hilbert Function LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjSEZGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2KS1GLDYjUSFGJy1JI21zR0YkRjtGOi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJy8lKnJlZmVyZW5jZUdRIzMwRicvJTJkaXNwbGF5X3JlZmVyZW5jZUdRIzI5RidGQkY/RkJGREZH

s = 0: 1 s >= 1: 83711/27720*s+1+190553/50400*s^2+341747/129600*s^3+139381/120960*s^4+242537/725760*s^5+1903/28800*s^6+10831/1209600*s^7+11/13440*s^8+1/20736*s^9+1/604800*s^10+1/39916800*s^11

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEwSW5kZXhSZWd1bGFyaXR5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNictRiw2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GM1Enbm9ybWFsRicvJSpyZWZlcmVuY2VHUSMzMkYnLyUyZGlzcGxheV9yZWZlcmVuY2VHUSMzMUYnRkBGPUZARkJGRQ==

IiIh

JSFH