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Exhibit 31.1

CERTIFICATION OF PRINCIPAL EXECUTIVE OFFICER PURSUANT TO SECTION 302 OF THE SARBANES-OXLEY ACT OF 2002

I, Christopher Ian Dyakowski, certify that:

|1. | I have reviewed this quarterly
        report on Form 10-QSB of Argentex Mining Corporation, Inc.;                                                                                                                                                                                                                                                                            
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|2. | Based on my knowledge, this
        quarterly report does not contain any untrue statement of a material fact
        or omit to state a material fact necessary to make the statements made,
        in light of the circumstances under which such statements were made, not
        misleading with respect to the period covered by this quarterly report;                
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|3. | Based on my knowledge, the
        financial statements, and other financial information included in this
        quarterly report, fairly present in all material respects the financial
        condition, results of operations and cash flows of the registrant as of,
        and for, the periods presented in this quarterly report;                                   
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|4. | The registrants other
        certifying officers and I are responsible for establishing and maintaining
        disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e)
        and 15d-15(e)) and internal controls over financial reporting (as defined
        in Exchange Act Rules 13a-15(f) and 15d-15(f)) for the registrant and
        have:
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|   | a)                                                                                                                                                                                                                                                                                                                                                                            
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|   | b)                                                                                                                                                                                                                                                                                                                                                                            
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|   | c)                                                                                                                                                                                                                                                                                                                                                                            
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|   | d)                                                                                                                                                                                                                                                                                                                                                                            
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|5. | The registrants other
        certifying officers and I have disclosed, based on our most recent evaluation
        of internal control over financial reporting, to the registrants
        auditors and the audit committee of registrants board of directors
        (or persons performing the equivalent function):                                                   
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|   | a)                                                                                                                                                                                                                                                                                                                                                                            
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|   | b)                                                                                                                                                                                                                                                                                                                                                                            

|Dated: June 11, 2004 | By: | /s/
      CHRISTOPHER IAN DYAKOWSKI
|-------------------- | --- | -----------------------------------
|                     |     | Christopher Ian Dyakowski          
|                     |     | Chief Executive Officer and        
|                     |     | Chief Financial Officer            

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