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Hillary Clinton has filed a motion to intervene in a lawsuit filed by Jill Stein seeking to require all Wisconsin counties to recount presidential votes by hand. 

A Dane County judge is set to hear the Green Party candidate's case Tuesday at 4:30 p.m. If Stein is unsuccessful, each of Wisconsin's 72 counties will have the choice of counting ballots by hand or by machine.

Also on Tuesday, Stein's campaign is required to submit $3.5 million to cover the costs of the recount, a figure based on estimates provided to the state Elections Commission by county clerks. The actual projected cost is $3.9 million, but the cost given to Stein's campaign was $400,000 short of that due to an adding error. 

Stein called the cost "exorbitant" and "excessive" but said she plans to pay it. Elections administrator Michael Haas said Stein's campaign will be refunded if the recount comes in under the stated cost.

Reform Party candidate Roque "Rocky" De La Fuente, who filed a separate recount petition last week, withdrew his request on Tuesday, citing the "prohibitive" cost and Clinton's growing involvement with the effort.

In Clinton's motion to intervene, her attorneys argued the Democratic former Secretary of State's interests will not be adequately represented by existing parties in the litigation, noting she and Stein will likely disagree on issues covered by the case.

Perkins Coie attorney Joshua Kaul has requested to appear on Clinton's behalf at the Tuesday hearing.

Clinton "respectfully supports the issuance of an order requiring a manual recount of all ballots cast in the presidential election in Wisconsin," Kaul wrote, arguing that manual recounts are superior to recounts conducted by machines.

Clinton's campaign sent an email to Wisconsin supporters late Monday afternoon seeking volunteers to assist with the recount.

Stein received about 31,000 votes in Wisconsin, where president-elect Donald Trump defeated Clinton by about 22,000 votes.

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In her recount petition, Stein alleged some electronic voting machines in Wisconsin are "susceptible to compromise." She suggested there were "irregularities" in the state's vote totals that "indicate potential tampering with electronic voting systems."

Haas said Monday that elections officials are "skeptical" of those claims.

In a court filing submitted on behalf of the Elections Commission, Attorney General Brad Schimel argued a court-ordered hand recount would place significant burdens on counties that plan to use machines and potentially interfere with federal deadlines that require the recount be finished by Dec. 13. 

Schimel argued Stein has provided no "clear and convincing evidence that a single Wisconsin voting machine was compromised or a that hand count would change the result of the election." 

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Jessie Opoien covers state government and politics for the Capital Times. She joined the Cap Times in 2013 and has also covered Madison life, race relations, culture and music. She has also covered education and politics for the Oshkosh Northwestern.