Finite Group Databasebeta

← Group #13091424

Character table — Group #13091424

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111222222222222333333666666666666666666666666666666666181818181818181818181818181818181818181818181818181818818181818181818181
order133333999999999333333333333333999999999999999999999999333333333999999999999999999266666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ8222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000
χ9222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1-1-122-1-1-1-122-1-1-1-122-1-1000000000
χ10222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122000000000
χ11222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222222−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000
χ12222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i3222-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32000000000
χ13222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-1-122-1-11−i321−i32−1+i3−1+i31−i321−i321+i321+i32−1−i3−1−i31+i321+i32000000000
χ14222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3-1-1-1-1221−i321−i321−i321−i32−1+i3−1+i31+i321+i321+i321+i32−1−i3−1−i3000000000
χ15222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222222−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000
χ16222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i3222-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32000000000
χ17222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-1-122-1-11+i321+i32−1−i3−1−i31+i321+i321−i321−i32−1+i3−1+i31−i321−i32000000000
χ18222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3-1-1-1-1221+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i321−i32−1+i3−1+i3000000000
χ19222222-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ20222222-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-12-12-12-12-12-1000000000
χ21222222-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-12-12-12-12-12000000000
χ22222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-12-1-12-1-12-1-1-1-12-1-12-1-12-1-12-1-12-1-12000000000
χ23222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1000000000
χ24222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-12-1-12-1-122-1-12-1-12-1-12-1-12-1-12-1-1000000000
χ25222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-12222-1-12-1-12-1-1-1-1-122-1-1-1-122-1-1-1-122-1000000000
χ26222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-12-1-12-1-12-12-1-1-1-122-1-1-1-122-1-1-1-12000000000
χ27222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-1-1-1-1222-1-12-1-12-1-12-122-1-1-1-122-1-1-1-122-1-1-1000000000
χ28222222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000
χ29222222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i322-12-12-1−1+i31−i32−1+i31−i32−1+i31−i32−1−i31+i32−1−i31+i32−1−i31+i32000000000
χ30222222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-12-12-121−i32−1+i31−i32−1+i31−i32−1+i31+i32−1−i31+i32−1−i31+i32−1−i3000000000
χ31222222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32222-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32-1-12-1-121−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i3000000000
χ32222222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32222-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-12-1-12-11−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i32000000000
χ33222222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32222-1-1-11−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i32-1-12-1-1−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32000000000
χ34222222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-12221−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i32-1-1−1+i31−i321−i32−1−i31+i321+i32-1-1-122-11−i321−i321−i32−1+i3−1+i31−i321+i321+i321+i32−1−i3−1−i31+i32000000000
χ35222222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-12221−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3-12-11−i32−1+i31−i321+i32−1−i31+i322-1-1-1-12−1+i31−i321−i321−i321−i32−1+i3−1−i31+i321+i321+i321+i32−1−i3000000000
χ36222222-1-1-1-1-1-1-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-12221−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i3-122-1-1-11−i32−1+i3−1+i31−i321−i321−i321+i32−1−i3−1−i31+i321+i321+i32000000000
χ37222222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000
χ38222222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i322-12-12-1−1−i31+i32−1−i31+i32−1−i31+i32−1+i31−i32−1+i31−i32−1+i31−i32000000000
χ39222222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-12-12-121+i32−1−i31+i32−1−i31+i32−1−i31−i32−1+i31−i32−1+i31−i32−1+i3000000000
χ40222222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32222-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32-1-12-1-121+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i3000000000
χ41222222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32222-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-12-1-12-11+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i32000000000
χ42222222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32222-1-1-11+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i32-1-12-1-1−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32000000000
χ43222222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-12221+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i32-1-1−1−i31+i321+i32−1+i31−i321−i32-1-1-122-11+i321+i321+i32−1−i3−1−i31+i321−i321−i321−i32−1+i3−1+i31−i32000000000
χ44222222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-12221+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3-12-11+i32−1−i31+i321−i32−1+i31−i322-1-1-1-12−1−i31+i321+i321+i321+i32−1−i3−1+i31−i321−i321−i321−i32−1+i3000000000
χ45222222-1-1-1-1-1-1-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-12221+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3-1-121+i321+i32−1−i31−i321−i32−1+i3-122-1-1-11+i32−1−i3−1−i31+i321+i321+i321−i32−1+i3−1+i31−i321−i321−i32000000000
χ463−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000003−3+3i32−3−3i320000003−3+3i32−3−3i320000000000000000000000000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ473−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000003−3+3i32−3−3i320000003−3+3i32−3−3i32000000000000000000000000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ483−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000−3+3i32−3−3i323000000−3−3i323−3+3i320000000000000000000000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ493−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i32000000000000000−3+3i32−3−3i323000000−3−3i323−3+3i32000000000000000000000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ503−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000−3−3i323−3+3i32000000−3+3i32−3−3i3230000000000000000000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ513−3+3i32−3−3i32−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i323000000000000000−3−3i323−3+3i32000000−3+3i32−3−3i323000000000000000000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ523−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000003−3−3i32−3+3i320000003−3−3i32−3+3i320000000000000000000000000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ533−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000003−3−3i32−3+3i320000003−3−3i32−3+3i32000000000000000000000000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ543−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000−3+3i323−3−3i32000000−3−3i32−3+3i3230000000000000000000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ553−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i323000000000000000−3+3i323−3−3i32000000−3−3i32−3+3i323000000000000000000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ563−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000−3−3i32−3+3i323000000−3+3i323−3−3i320000000000000000000000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ573−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i32000000000000000−3−3i32−3+3i323000000−3+3i323−3−3i32000000000000000000000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
χ58666-3-3-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ50000006-3-30000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000000000000000000000000000
χ59666-3-3-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000-36-30000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000000000000000000000000000000000000
χ60666-3-3-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000-3-360000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000000000000000000000000000000000000
χ61666-3-3-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ80000006-3-30000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000000000000000000000000000000000000
χ62666-3-3-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000-36-30000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000000000000000000000000000
χ63666-3-3-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000-3-360000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000000000000000000000000000000000000
χ64666-3-3-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ70000006-3-30000003ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000000000000000000000000000000000000000000000000000
χ65666-3-3-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000-36-30000003ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ2+3ζ73ζ4+3ζ53ζ+3ζ8000000000000000000000000000000000000000000000000000000
χ66666-3-3-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ2+3ζ7000000-3-360000003ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ+3ζ83ζ2+3ζ73ζ4+3ζ5000000000000000000000000000000000000000000000000000000
χ676−3+3i3−3−3i3−3+3i3−3−3i36-3-3-33−3i323−3i323−3i323+3i323+3i323+3i326−3+3i3−3−3i36−3+3i3−3−3i3000000000000000-33−3i323+3i32000000-33−3i323+3i32000000000000000000000000000000000000000000
χ686−3+3i3−3−3i3−3+3i3−3−3i36-3-3-33−3i323−3i323−3i323+3i323+3i323+3i32−3+3i3−3−3i36−3−3i36−3+3i30000000000000003−3i323+3i32-30000003+3i32-33−3i32000000000000000000000000000000000000000000
χ696−3+3i3−3−3i3−3+3i3−3−3i36-3-3-33−3i323−3i323−3i323+3i323+3i323+3i32−3−3i36−3+3i3−3+3i3−3−3i360000000000000003+3i32-33−3i320000003−3i323+3i32-3000000000000000000000000000000000000000000
χ706−3+3i3−3−3i33−3i323+3i32-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ2+3ζ43ζ+3ζ53ζ7+3ζ83ζ5+3ζ73ζ4+3ζ83ζ+3ζ20000000003−3+3i32−3−3i323−3+3i32−3−3i320000000003ζ3ζ43ζ73ζ23ζ53ζ80003ζ23ζ53ζ83ζ3ζ43ζ7000000000000000000000000000000000000
χ716−3+3i3−3−3i33−3i323+3i32-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ2+3ζ43ζ+3ζ53ζ7+3ζ83ζ5+3ζ73ζ4+3ζ83ζ+3ζ2000000000−3+3i32−3−3i323−3−3i323−3+3i320000000003ζ43ζ73ζ3ζ53ζ83ζ20003ζ83ζ23ζ53ζ73ζ3ζ4000000000000000000000000000000000000
χ726−3+3i3−3−3i33−3i323+3i32-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ2+3ζ43ζ+3ζ53ζ7+3ζ83ζ5+3ζ73ζ4+3ζ83ζ+3ζ2000000000−3−3i323−3+3i32−3+3i32−3−3i3230000000003ζ73ζ3ζ43ζ83ζ23ζ50003ζ53ζ83ζ23ζ43ζ73ζ000000000000000000000000000000000000
χ736−3+3i3−3−3i33−3i323+3i32-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ+3ζ53ζ7+3ζ83ζ2+3ζ43ζ4+3ζ83ζ+3ζ23ζ5+3ζ70000000003−3+3i32−3−3i323−3+3i32−3−3i320000000003ζ73ζ3ζ43ζ53ζ83ζ20003ζ53ζ83ζ23ζ73ζ3ζ4000000000000000000000000000000000000
χ746−3+3i3−3−3i33−3i323+3i32-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ+3ζ53ζ7+3ζ83ζ2+3ζ43ζ4+3ζ83ζ+3ζ23ζ5+3ζ7000000000−3+3i32−3−3i323−3−3i323−3+3i320000000003ζ3ζ43ζ73ζ83ζ23ζ50003ζ23ζ53ζ83ζ43ζ73ζ000000000000000000000000000000000000
χ756−3+3i3−3−3i33−3i323+3i32-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ+3ζ53ζ7+3ζ83ζ2+3ζ43ζ4+3ζ83ζ+3ζ23ζ5+3ζ7000000000−3−3i323−3+3i32−3+3i32−3−3i3230000000003ζ43ζ73ζ3ζ23ζ53ζ80003ζ83ζ23ζ53ζ3ζ43ζ7000000000000000000000000000000000000
χ766−3+3i3−3−3i33−3i323+3i32-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ7+3ζ83ζ2+3ζ43ζ+3ζ53ζ+3ζ23ζ5+3ζ73ζ4+3ζ80000000003−3+3i32−3−3i323−3+3i32−3−3i320000000003ζ43ζ73ζ3ζ83ζ23ζ50003ζ83ζ23ζ53ζ43ζ73ζ000000000000000000000000000000000000
χ776−3+3i3−3−3i33−3i323+3i32-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ7+3ζ83ζ2+3ζ43ζ+3ζ53ζ+3ζ23ζ5+3ζ73ζ4+3ζ8000000000−3+3i32−3−3i323−3−3i323−3+3i320000000003ζ73ζ3ζ43ζ23ζ53ζ80003ζ53ζ83ζ23ζ3ζ43ζ7000000000000000000000000000000000000
χ786−3+3i3−3−3i33−3i323+3i32-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ7+3ζ83ζ2+3ζ43ζ+3ζ53ζ+3ζ23ζ5+3ζ73ζ4+3ζ8000000000−3−3i323−3+3i32−3+3i32−3−3i3230000000003ζ3ζ43ζ73ζ53ζ83ζ20003ζ23ζ53ζ83ζ73ζ3ζ4000000000000000000000000000000000000
χ796−3−3i3−3+3i3−3−3i3−3+3i36-3-3-33+3i323+3i323+3i323−3i323−3i323−3i326−3−3i3−3+3i36−3−3i3−3+3i3000000000000000-33+3i323−3i32000000-33+3i323−3i32000000000000000000000000000000000000000000
χ806−3−3i3−3+3i3−3−3i3−3+3i36-3-3-33+3i323+3i323+3i323−3i323−3i323−3i32−3+3i36−3−3i3−3−3i3−3+3i360000000000000003−3i32-33+3i320000003+3i323−3i32-3000000000000000000000000000000000000000000
χ816−3−3i3−3+3i3−3−3i3−3+3i36-3-3-33+3i323+3i323+3i323−3i323−3i323−3i32−3−3i3−3+3i36−3+3i36−3−3i30000000000000003+3i323−3i32-30000003−3i32-33+3i32000000000000000000000000000000000000000000
χ826−3−3i3−3+3i33+3i323−3i32-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ5+3ζ73ζ4+3ζ83ζ+3ζ23ζ2+3ζ43ζ+3ζ53ζ7+3ζ80000000003−3−3i32−3+3i323−3−3i32−3+3i320000000003ζ83ζ53ζ23ζ73ζ43ζ0003ζ73ζ43ζ3ζ83ζ53ζ2000000000000000000000000000000000000
χ836−3−3i3−3+3i33+3i323−3i32-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ5+3ζ73ζ4+3ζ83ζ+3ζ23ζ2+3ζ43ζ+3ζ53ζ7+3ζ8000000000−3+3i323−3−3i32−3−3i32−3+3i3230000000003ζ23ζ83ζ53ζ3ζ73ζ40003ζ43ζ3ζ73ζ53ζ23ζ8000000000000000000000000000000000000
χ846−3−3i3−3+3i33+3i323−3i32-33ζ+3ζ83ζ2+3ζ73ζ4+3ζ53ζ5+3ζ73ζ4+3ζ83ζ+3ζ23ζ2+3ζ43ζ+3ζ53ζ7+3ζ8000000000−3−3i32−3+3i323−3+3i323−3−3i320000000003ζ53ζ23ζ83ζ43ζ3ζ70003ζ3ζ73ζ43ζ23ζ83ζ5000000000000000000000000000000000000
χ856−3−3i3−3+3i33+3i323−3i32-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ23ζ5+3ζ73ζ+3ζ53ζ7+3ζ83ζ2+3ζ40000000003−3−3i32−3+3i323−3−3i32−3+3i320000000003ζ23ζ83ζ53ζ43ζ3ζ70003ζ43ζ3ζ73ζ23ζ83ζ5000000000000000000000000000000000000
χ866−3−3i3−3+3i33+3i323−3i32-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ23ζ5+3ζ73ζ+3ζ53ζ7+3ζ83ζ2+3ζ4000000000−3+3i323−3−3i32−3−3i32−3+3i3230000000003ζ53ζ23ζ83ζ73ζ43ζ0003ζ3ζ73ζ43ζ83ζ53ζ2000000000000000000000000000000000000
χ876−3−3i3−3+3i33+3i323−3i32-33ζ2+3ζ73ζ4+3ζ53ζ+3ζ83ζ4+3ζ83ζ+3ζ23ζ5+3ζ73ζ+3ζ53ζ7+3ζ83ζ2+3ζ4000000000−3−3i32−3+3i323−3+3i323−3−3i320000000003ζ83ζ53ζ23ζ3ζ73ζ40003ζ73ζ43ζ3ζ53ζ23ζ8000000000000000000000000000000000000
χ886−3−3i3−3+3i33+3i323−3i32-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ50000000003−3−3i32−3+3i323−3−3i32−3+3i320000000003ζ53ζ23ζ83ζ3ζ73ζ40003ζ3ζ73ζ43ζ53ζ23ζ8000000000000000000000000000000000000
χ896−3−3i3−3+3i33+3i323−3i32-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ5000000000−3+3i323−3−3i32−3−3i32−3+3i3230000000003ζ83ζ53ζ23ζ43ζ3ζ70003ζ73ζ43ζ3ζ23ζ83ζ5000000000000000000000000000000000000
χ906−3−3i3−3+3i33+3i323−3i32-33ζ4+3ζ53ζ+3ζ83ζ2+3ζ73ζ+3ζ23ζ5+3ζ73ζ4+3ζ83ζ7+3ζ83ζ2+3ζ43ζ+3ζ5000000000−3−3i32−3+3i323−3+3i323−3−3i320000000003ζ23ζ83ζ53ζ73ζ43ζ0003ζ43ζ3ζ73ζ83ζ53ζ2000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.