Finite Group Databasebeta

← Group #13144302

Character table — Group #13144302

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size11111111111111111111111122222222222244444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636
order12222222336666666666666622226666666644441212121212121212333366666666666666666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121222222222666666666666666644441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ91111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i
χ101111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iii
χ111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii
χ121111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i
χ131111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111i−i−iiii−i−i−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii
χ141111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111i−i−iiii−i−i−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i
χ151111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−iii−i−i−iiiii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i
χ161111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−iii−i−i−iiiii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii
χ172222222222222222222222222222222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000000
χ18222222222222222222222222222222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ19222222222222222222222222222222222222222222222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000000000000000
χ20222222222222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000000000000000
χ21222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000000000000000000000000000
χ22222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000000000000000
χ23222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-211000000000000000000000000000000000000
χ24222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-2000000000000000000000000000000000000
χ25222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000000000000000000000
χ26222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000000000000000000000000000
χ27222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000000000000000000000000000
χ28222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2000000000000000000000000000000000000
χ29222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000000
χ30222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ31222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000000000000000
χ32222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000000000000000
χ332222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000000000000000000000000000
χ342222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii000000000000000000000000000000000000
χ352222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-211-1-1-1-122-1-11111-2-211−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii000000000000000000000000000000000000
χ362222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-2-1-1-1-1-1-122111111-2-2−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i000000000000000000000000000000000000
χ372222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000000000000000000000000000
χ382222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000000000000000000000000000
χ392222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-211-1-1-1-122-1-11111-2-211iiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−i000000000000000000000000000000000000
χ402222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-2-1-1-1-1-1-122111111-2-2iiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000000000000000000000000000
χ412222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-211111122-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000000000000000000000000000
χ422222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-2111111-2-21111-1-122-1-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000000000000000000000000000
χ432222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-2111111-2-211-1-1-1-122-1-1−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i000000000000000000000000000000000000
χ442222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-2111111-2-2-1-1-1-1-1-122−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000000000000000000000000000
χ452222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000000000000000000000000000
χ462222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-2111111-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii000000000000000000000000000000000000
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χ10733333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-33−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-3333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000001111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i32-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ10833333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-33−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32-3-3333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000000000000000000000000000000000000000000000000000-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
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χ1314-44-4-44-4444-4-444-4-4-4-444-4-444000000000000000000000000-2-24-22-222-22-44-42-222-22-2-442-22-22-2-442-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-44-4-44-4444-4-444-4-4-4-444-4-444000000000000000000000000-2-2-242-222-222-22-44-42-22-22-2-442-22-22-2-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-444-4-4444-4-4-4-44444-4-4-4-4440000000000000000000000004-2-2-2-4-4422-222-222-2-442-22-22-24-4-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-444-4-4444-4-4-4-44444-4-4-4-444000000000000000000000000-24-2-222-2-4-4422-222-22-2-442-22-2-224-4-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-444-4-4444-4-4-4-44444-4-4-4-444000000000000000000000000-2-24-222-222-2-4-4422-22-22-2-442-2-22-224-4-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-444-4-4444-4-4-4-44444-4-4-4-444000000000000000000000000-2-2-2422-222-222-2-4-442-22-22-2-44-22-22-224-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-444-444-4-4-4-444-4-44444-4-40000000000000000000000004-2-2-2-4-4422-222-222-24-4-22-22-22-442-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-44-444-444-4-4-4-444-4-44444-4-4000000000000000000000000-24-2-222-2-4-4422-222-2-224-4-22-222-2-442-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-44-444-444-4-4-4-444-4-44444-4-4000000000000000000000000-2-24-222-222-2-4-4422-2-22-224-4-222-22-2-442-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-44-444-444-4-4-4-444-4-44444-4-4000000000000000000000000-2-2-2422-222-222-2-4-44-22-22-224-42-22-22-2-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14166-6-666-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i36-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14266-6-666-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3-66-663+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14366-6-666-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i36-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14466-6-666-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3-66-663−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14566-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i36-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14666-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3-666-63+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14766-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i36-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14866-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3-666-63−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1496-66-66-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22-200000000−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3000000000000
χ1506-66-66-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22-22000000001+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3000000000000
χ1516-66-66-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22-200000000−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3000000000000
χ1526-66-66-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22-22000000001−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3000000000000
χ1536-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-2200000000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3000000000000
χ1546-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-2000000001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3000000000000
χ1556-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-2200000000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3000000000000
χ1566-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-2000000001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3000000000000
χ1576-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22-20000−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300000000000000000000
χ1586-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22-2200001+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i300000000000000000000
χ1596-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22-20000−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300000000000000000000
χ1606-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22-2200001−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i300000000000000000000
χ1616-6-66-666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-220000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i300000000000000000000
χ1626-6-66-666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-200001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i300000000000000000000
χ1636-6-66-666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-220000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i300000000000000000000
χ1646-6-66-666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-200001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i300000000000000000000

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