Finite Group Databasebeta

← Group #13164403

Character table — Group #13164403

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11222223333333333444666666666666666666666121212121212121212181818181818181818181818242424242424363636363636363636363636363636363636484848484848484848
order1222346223366666666122246666666666666612121212666666121212444412121212121212123336662444446612121212121212121212666666121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ3111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−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+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−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+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32
χ4111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−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+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32
χ5111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+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−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+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−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ6111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+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−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ7111-11-1111111111111-1-11-1-1111111-1-11111-1-1-1-1-1-11-11-11-1-1-1-1111111111111111111-11-1-11-1-1-1-1-11-11-11-11-11-11-11-1-1-1-1
χ8111-11-1111111111111-1-11-1-1111111-1-11111-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-111111-11-11-11-111-11-11-1-1-1-1
χ9111-11-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-11-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32-11+i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-11-1-11-11+i321−i321+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321-1−1−i321+i32−1+i321−i32-11+i321−i32
χ10111-11-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-1-11-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32-11+i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321-111-11−1−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321-1−1−i321+i32−1+i321−i32-11+i321−i32
χ11111-11-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-11-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32-11−i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-11-1-11-11−i321+i321−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321-1−1+i321−i32−1−i321+i32-11−i321+i32
χ12111-11-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-1-11-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32-11−i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321-111-11−1+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321-1−1+i321−i32−1−i321+i32-11−i321+i32
χ1311-111-111111111111-11-1-11-11111-1-11111-1-111-1-1-1-1-11-11-11-1-1-1111111111111111111-1-11-1-11-1-1-1-1-11-11-11-11-11-11-11-1-1-1
χ1411-111-111111111111-11-1-11-11111-1-11111-1-111-1-1-1-1-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111111-11-11-11-1-11-11-11-1-1-1
χ1511-111-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-11-1-11-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32-11+i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11-1-111+i321−i321+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32-111+i32−1−i321−i32−1+i32-11+i321−i32
χ1611-111-1111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-11-1-11-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32-11+i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i3211-111-1−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32-111+i32−1−i321−i32−1+i32-11+i321−i32
χ1711-111-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-11-1-11-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32-11−i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11-1-111−i321+i321−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32-111−i32−1+i321+i32−1−i32-11−i321+i32
χ1811-111-1111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-11-1-11-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32-11−i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i3211-111-1−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32-111−i32−1+i321+i32−1−i32-11−i321+i32
χ1911-1-11111111111111-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ2011-1-11111111111111-1-11-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-1-1-1-111111111-1-1-1-1-1-1111
χ2111-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11-1-1111−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321-1-11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i32
χ2211-1-111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11-1-1111−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-111-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i32
χ2311-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11-1-1111−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321-1-11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i32
χ2411-1-111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11-1-1111−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-111-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i32
χ2522222222222222222222222222222222222222222222222222000000000000-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1-1-1-1
χ26222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322222222−1−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+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i3000000000000-11+i321−i32-11+i321−i32000000000000000000-1-11+i321+i321−i321−i32-11+i321−i32
χ27222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322222222−1+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−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i3000000000000-11−i321+i32-11−i321+i32000000000000000000-1-11−i321−i321+i321+i32-11−i321+i32
χ28222-22-2222222222222-2-22-2-2222222-2-22222-2-2-2-2-2-22-22-22-2-2-2-2000000000000-1-1-1-1-1-1000000000000000000-11-11-11111
χ29222-22-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i32-2-22-2-222−1−i3−1−i3−1−i3−1−i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i31+i31+i31−i31−i32-2−1−i31+i3−1+i31−i3-21+i31−i3000000000000-11+i321−i32-11+i321−i32000000000000000000-111+i32−1−i321−i32−1+i321−1−i32−1+i32
χ30222-22-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i32-2-22-2-222−1+i3−1+i3−1+i3−1+i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i31−i31−i31+i31+i32-2−1+i31−i3−1−i31+i3-21−i31+i3000000000000-11−i321+i32-11−i321+i32000000000000000000-111−i32−1+i321+i32−1−i321−1+i32−1−i32
χ3122-222-222222222222-22-2-22-22222-2-22222-2-222-2-2-2-2-22-22-22-2-2-2000000000000-1-1-1-1-1-10000000000000000001-11-11-1111
χ3222-222-2222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-22-2-22-222−1−i3−1−i31+i31+i3−1−i3−1−i3−1+i3−1+i31−i31−i3−1+i3−1+i31+i31+i31−i31−i3-221+i3−1−i31−i3−1+i3-21+i31−i3000000000000-11+i321−i32-11+i321−i320000000000000000001-1−1−i321+i32−1+i321−i321−1−i32−1+i32
χ3322-222-2222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-22-2-22-222−1+i3−1+i31−i31−i3−1+i3−1+i3−1−i3−1−i31+i31+i3−1−i3−1−i31−i31−i31+i31+i3-221−i3−1+i31+i3−1−i3-21−i31+i3000000000000-11−i321+i32-11−i321+i320000000000000000001-1−1+i321−i32−1−i321+i321−1+i32−1−i32
χ3422-2-22222222222222-2-22-2-222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2222000000000000-1-1-1-1-1-1000000000000000000111111-1-1-1
χ3522-2-222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-22-2-2222−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1+i3−1+i3-2-21+i31+i31−i31−i32−1−i3−1+i3000000000000-11+i321−i32-11+i321−i3200000000000000000011−1−i32−1−i32−1+i32−1+i32-11+i321−i32
χ3622-2-222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-22-2-2222−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1−i3−1−i3-2-21−i31−i31+i31+i32−1+i3−1−i3000000000000-11−i321+i32-11−i321+i3200000000000000000011−1+i32−1+i32−1−i32−1−i32-11−i321+i32
χ372-20020-22-22222-2-2-2-20000002-22-200002-2000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i222-2-2-2000000000000000000000000000
χ382-20020-22-22222-2-2-2-20000002-22-200002-200000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i222-2-2-2000000000000000000000000000
χ392-20020-22-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000002-2−1−i31+i30000−1+i31−i3000000000000000002i−2i2i−2i2ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72−1−i3−1+i3-21+i31−i3000000000000000000000000000
χ402-20020-22-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000002-2−1−i31+i30000−1+i31−i300000000000000000−2i2i−2i2i−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ72−1−i3−1+i3-21+i31−i3000000000000000000000000000
χ412-20020-22-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000002-2−1+i31−i30000−1−i31+i3000000000000000002i−2i2i−2i2ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112−1+i3−1−i3-21−i31+i3000000000000000000000000000
χ422-20020-22-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000002-2−1+i31−i30000−1−i31+i300000000000000000−2i2i−2i2i−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ112−1+i3−1−i3-21−i31+i3000000000000000000000000000
χ433333333-1-133-1-1-1-133333-1-1-1-1-1-1-13-13-1-1-13-13-13-13-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111000000111-1-1-111-1-1-1-1-1-11111000000000
χ443333333-1-133-1-1-1-133333-1-1-1-1-1-1-13-13-1-1-13-13-13-13-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1000000-1-1-1111-1-1111111-1-1-1-1000000000
χ453333333-1-1−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32333-1-1-1-1-11+i321+i32−3−3i321+i32−3−3i321+i321−i321−i32−3+3i321−i32−3+3i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i32-11+i321−i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32000000111-1-1-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32000000000
χ463333333-1-1−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32333-1-1-1-1-11+i321+i32−3−3i321+i32−3−3i321+i321−i321−i32−3+3i321−i32−3+3i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000000-1-1-11111+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000000000
χ473333333-1-1−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32333-1-1-1-1-11−i321−i32−3+3i321−i32−3+3i321−i321+i321+i32−3−3i321+i32−3−3i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i32-11−i321+i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32000000111-1-1-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32000000000
χ483333333-1-1−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32333-1-1-1-1-11−i321−i32−3+3i321−i32−3+3i321−i321+i321+i32−3−3i321+i32−3−3i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000000-1-1-11111−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000000000
χ49333-33-33-1-133-1-1-1-1333-3-3-111-1-1-1-13-1-31-1-13-1-31-31-31-11-11-1111111-1-1-1-1-1-11111000000-11-11-11-1-111-11-111-11-1000000000
χ50333-33-33-1-133-1-1-1-1333-3-3-111-1-1-1-13-1-31-1-13-1-31-31-31-11-11-11111-1-1111111-1-1-1-10000001-11-11-111-1-11-11-1-11-11000000000
χ51333-33-33-1-1−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i323-3-3-111-1-11+i321+i32−3−3i321+i323+3i32−1−i321−i321−i32−3+3i321−i323−3i32−1+i323+3i32−1−i323−3i32−1+i32-111+i32−1−i321−i32−1+i321−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32000000-11-11-111+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32000000000
χ52333-33-33-1-1−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i323-3-3-111-1-11+i321+i32−3−3i321+i323+3i32−1−i321−i321−i32−3+3i321−i323−3i32−1+i323+3i32−1−i323−3i32−1+i32-111+i32−1−i321−i32−1+i321−1−i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i320000001-11-11-1−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32000000000
χ53333-33-33-1-1−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i323-3-3-111-1-11−i321−i32−3+3i321−i323−3i32−1+i321+i321+i32−3−3i321+i323+3i32−1−i323−3i32−1+i323+3i32−1−i32-111−i32−1+i321+i32−1−i321−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32000000-11-11-111−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32000000000
χ54333-33-33-1-1−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i323-3-3-111-1-11−i321−i32−3+3i321−i323−3i32−1+i321+i321+i32−3−3i321+i323+3i32−1−i323−3i32−1+i323+3i32−1−i32-111−i32−1+i321+i32−1−i321−1+i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i320000001-11-11-1−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32000000000
χ5533-333-33-1-133-1-1-1-133-33-31-11-1-1-1-1-313-1-1-1-313-1-31-311-11-11-111111-1-1-1-1-1-11111000000-1-1111-1-1-1111-11-1-11-11000000000
χ5633-333-33-1-133-1-1-1-133-33-31-11-1-1-1-1-313-1-1-1-313-1-31-311-11-11-1111-1-1111111-1-1-1-100000011-1-1-1111-1-1-11-111-11-1000000000
χ5733-333-33-1-1−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-33-31-11-1-11+i321+i323+3i32−1−i32−3−3i321+i321−i321−i323−3i32−1+i32−3+3i321−i323+3i32−1−i323−3i32−1+i321-1−1−i321+i32−1+i321−i321−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32000000-1-1111-11+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32000000000
χ5833-333-33-1-1−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-33-31-11-1-11+i321+i323+3i32−1−i32−3−3i321+i321−i321−i323−3i32−1+i32−3+3i321−i323+3i32−1−i323−3i32−1+i321-1−1−i321+i32−1+i321−i321−1−i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3200000011-1-1-11−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32000000000
χ5933-333-33-1-1−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-33-31-11-1-11−i321−i323−3i32−1+i32−3+3i321−i321+i321+i323+3i32−1−i32−3−3i321+i323−3i32−1+i323+3i32−1−i321-1−1+i321−i32−1−i321+i321−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32000000-1-1111-11−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32000000000
χ6033-333-33-1-1−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-33-31-11-1-11−i321−i323−3i32−1+i32−3+3i321−i321+i321+i323+3i32−1−i32−3−3i321+i323−3i32−1+i323+3i32−1−i321-1−1+i321−i32−1−i321+i321−1+i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3200000011-1-1-11−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32000000000
χ6133-3-3333-1-133-1-1-1-133-3-3311-1-1-1-1-1-31-31-1-1-31-313-13-1111111-1-1-111-1-1-1-1-1-111110000001-1-1-11111-1-11111-1-1-1-1000000000
χ6233-3-3333-1-133-1-1-1-133-3-3311-1-1-1-1-1-31-31-1-1-31-313-13-1111111-1-1-1-1-1111111-1-1-1-1000000-1111-1-1-1-111-1-1-1-11111000000000
χ6333-3-3333-1-1−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-3-3311-1-1-11+i321+i323+3i32−1−i323+3i32−1−i321−i321−i323−3i32−1+i323−3i32−1+i32−3−3i321+i32−3+3i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i320000001-1-1-111−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000000000
χ6433-3-3333-1-1−3−3i32−3+3i321+i321−i321+i321−i32−3−3i32−3+3i32-3-3311-1-1-11+i321+i323+3i32−1−i323+3i32−1−i321−i321−i323−3i32−1+i323−3i32−1+i32−3−3i321+i32−3+3i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000000-1111-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32000000000
χ6533-3-3333-1-1−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-3-3311-1-1-11−i321−i323−3i32−1+i323−3i32−1+i321+i321+i323+3i32−1−i323+3i32−1−i32−3+3i321−i32−3−3i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i320000001-1-1-111−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000000000
χ6633-3-3333-1-1−3+3i32−3−3i321−i321+i321−i321+i32−3+3i32−3−3i32-3-3311-1-1-11−i321−i323−3i32−1+i323−3i32−1+i321+i321+i323+3i32−1−i323+3i32−1−i32−3+3i321−i32−3−3i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000000-1111-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32000000000
χ674-40040-44-44444-4-4-4-40000004-44-400004-400000000000000000000000000000-2-2-2222000000000000000000000000000
χ684-40040-44-4−2−2i3−2+2i3−2−2i3−2+2i32+2i32−2i32+2i32−2i30000004-4−2−2i32+2i30000−2+2i32−2i300000000000000000000000000000-21+i31−i32−1−i3−1+i3000000000000000000000000000
χ694-40040-44-4−2+2i3−2−2i3−2+2i3−2−2i32−2i32+2i32−2i32+2i30000004-4−2+2i32−2i30000−2−2i32+2i300000000000000000000000000000-21−i31+i32−1+i3−1−i3000000000000000000000000000
χ706666-36-36600000000-3-3-3666-3-30000000000000000-3-30000-300000000000000000000000000000000000000000000000
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χ726666-36-3-2-200−2−2i3−2+2i3−2−2i3−2+2i300-3-3-3-2-2-2111+i31+i30−2−2i30−2−2i31−i31−i30−2+2i30−2+2i30−2−2i30−2+2i3111+i31+i31−i31−i311+i31−i3000000000000000000000000000000000000000000000
χ736666-36-3-2-200−2+2i3−2−2i3−2+2i3−2−2i300-3-3-3-2-2-2111−i31−i30−2+2i30−2+2i31+i31+i30−2−2i30−2−2i30−2+2i30−2−2i3111−i31−i31+i31+i311−i31+i3000000000000000000000000000000000000000000000
χ74666-6-3-6-36600000000-3336-6-6-3-30000000000000000-330000300000000000000000000000000000000000000000000000
χ75666-6-3-6-3-2-200444400-333-22211-2-2040-4-2-2040-40-40-41-1-22-22-122000000000000000000000000000000000000000000000
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χ77666-6-3-6-3-2-200−2+2i3−2−2i3−2+2i3−2−2i300-333-222111−i31−i30−2+2i302−2i31+i31+i30−2−2i302+2i302−2i302+2i31-11−i3−1+i31+i3−1−i3-1−1+i3−1−i3000000000000000000000000000000000000000000000
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χ8166-66-3-6-3-2-200−2+2i3−2−2i3−2+2i3−2−2i3003-332-22111−i31−i302−2i30−2+2i31+i31+i302+2i30−2−2i302−2i302+2i3-11−1+i31−i3−1−i31+i3-1−1+i3−1−i3000000000000000000000000000000000000000000000
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χ8566-6-6-36-3-2-200−2+2i3−2−2i3−2+2i3−2−2i30033-322-2111−i31−i302−2i302−2i31+i31+i302+2i302+2i30−2+2i30−2−2i3-1-1−1+i3−1+i3−1−i3−1−i311−i31+i3000000000000000000000000000000000000000000000
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χ876-60060-6-2266-2-222-6-6000000-22-220000-2200000000000000000−2i2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000
χ886-60060-6-22−3−3i3−3+3i31+i31−i3−1−i3−1+i33+3i33−3i3000000-221+i3−1−i300001−i3−1+i3000000000000000002i−2i−2i2i−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ7000000000000000000000000000000000
χ896-60060-6-22−3−3i3−3+3i31+i31−i3−1−i3−1+i33+3i33−3i3000000-221+i3−1−i300001−i3−1+i300000000000000000−2i2i2i−2i2ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ7000000000000000000000000000000000
χ906-60060-6-22−3+3i3−3−3i31−i31+i3−1+i3−1−i33−3i33+3i3000000-221−i3−1+i300001+i3−1−i3000000000000000002i−2i−2i2i−2ζ72ζ7−2ζ112ζ112ζ7−2ζ72ζ11−2ζ11000000000000000000000000000000000
χ916-60060-6-22−3+3i3−3−3i31−i31+i3−1+i3−1−i33−3i33+3i3000000-221−i3−1+i300001+i3−1−i300000000000000000−2i2i2i−2i2ζ7−2ζ72ζ11−2ζ11−2ζ72ζ7−2ζ112ζ11000000000000000000000000000000000
χ9212-1200-60612-1200000000000000-660000000000000000000000000000000000000000000000000000000000000000000000
χ9312-1200-606-440088-8-8000000002-2-440000-4400000000000000000000000000000000000000000000000000000000000000
χ9412-1200-606-4400−4−4i3−4+4i34+4i34−4i3000000002-22+2i3−2−2i300002−2i3−2+2i300000000000000000000000000000000000000000000000000000000000000
χ9512-1200-606-4400−4+4i3−4−4i34−4i34+4i3000000002-22−2i3−2+2i300002+2i3−2−2i300000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.