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We show that the irregular connection on $\bbG_m$ constructed byFrenkel-Gross (2009) and the one constructed by Heinloth-Ng\^{o}-Yun(arXiv:1005.2765) are the same, which confirms the Conjecture 2.14 ofarXiv:1005.2765.

Frenkel-Gross' irregular connection and Heinloth-Ng\^{o}-Yun's are the same