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compshintanidom icon compshintanidom

Here we give an algorithm to determine Shintani domains for non-totally complex number fields from the signed fundamental domains given in the works of Diaz y Diaz, Espinoza and Friedman. We also present some explicit examples of Shintani domains.

shintanik41 icon shintanik41

Examples of Shintani domains for complex quartic number fields. Moreover, we propose in the folder "Algorithm" an implementation to obtain Shintani domains in complex quartic fields (restriction: unit group without torsion)

shintanitork41 icon shintanitork41

Shintani domain for totally complex quartic number fields considering the action of group with torsion. Including some examples.

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