Finite Group Databasebeta

← Group #13143736

Character table — Group #13143736

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111111111111111111144444444444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order1222222233666666666666664444441212121212121212121212123333666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222224444666666661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ92222222222222222222222222222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ10222222222222222222222222222222222222222222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ11222222222222222222222222222222222222222222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ12222222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ1322222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000000000
χ1422222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000000000
χ1522222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000000000
χ1622222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000000000
χ17222222222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000
χ18222222222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000
χ19222222222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000000000000000
χ20222222222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000000000000000
χ21222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ22222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000
χ23222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000000000
χ24222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000
χ25222-22-2-2-2222222-2-222-2-2-2-2-2-2002i−2i0000002i2i−2i−2i0000222222-2-222-2-222-2-222-2-22-2-22-2-22-2-22-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ26222-22-2-2-2222222-2-222-2-2-2-2-2-2002i−2i0000002i2i−2i−2i00002-1-1-122-2-2-1-111-1-111-1-1112-2-2-111-111-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i2i−2i−2i−i−iii−i−iii−i−iii000033−3−333−3−333−3−3000000000000000000000000
χ27222-22-2-2-2222222-2-222-2-2-2-2-2-2002i−2i0000002i2i−2i−2i00002-1-1-122-2-2-1-111-1-111-1-1112-2-2-111-111-1110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32i2i−2i−2i−i−iii−i−iii−i−iii0000−3−333−3−333−3−333000000000000000000000000
χ28222-22-2-2-2222222-2-222-2-2-2-2-2-2002i−2i0000002i2i−2i−2i0000-12-1-1-1-11122-2-2-1-111-1-111-1112-2-2-111-111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3−i−iii2i2i−2i−2i−i−iii−i−iii33−3−3000033−3−3−3−333000000000000000000000000
χ29222-22-2-2-2222222-2-222-2-2-2-2-2-2002i−2i0000002i2i−2i−2i0000-12-1-1-1-11122-2-2-1-111-1-111-1112-2-2-111-111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3−i−iii2i2i−2i−2i−i−iii−i−iii−3−3330000−3−33333−3−3000000000000000000000000
χ30222-22-2-2-2222222-2-222-2-2-2-2-2-2002i−2i0000002i2i−2i−2i0000-1-12-1-1-111-1-11122-2-2-1-111-111-1112-2-2-111−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3−i−iii−i−iii2i2i−2i−2i−i−iii33−3−3−3−333000033−3−3000000000000000000000000
χ31222-22-2-2-2222222-2-222-2-2-2-2-2-2002i−2i0000002i2i−2i−2i0000-1-12-1-1-111-1-11122-2-2-1-111-111-1112-2-2-111i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3−i−iii−i−iii2i2i−2i−2i−i−iii−3−33333−3−30000−3−333000000000000000000000000
χ32222-22-2-2-2222222-2-222-2-2-2-2-2-2002i−2i0000002i2i−2i−2i0000-1-1-12-1-111-1-111-1-11122-2-2-111-111-1112-2-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000−i−iii−i−iii−i−iii2i2i−2i−2i33−3−333−3−3−3−3330000000000000000000000000000
χ33222-22-2-2-2222222-2-222-2-2-2-2-2-2002i−2i0000002i2i−2i−2i0000-1-1-12-1-111-1-111-1-11122-2-2-111-111-1112-2-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000−i−iii−i−iii−i−iii2i2i−2i−2i−3−333−3−33333−3−30000000000000000000000000000
χ34222-22-2-2-2222222-2-222-2-2-2-2-2-200−2i2i000000−2i−2i2i2i0000222222-2-222-2-222-2-222-2-22-2-22-2-22-2-22-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ35222-22-2-2-2222222-2-222-2-2-2-2-2-200−2i2i000000−2i−2i2i2i00002-1-1-122-2-2-1-111-1-111-1-1112-2-2-111-111-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−2i−2i2i2iii−i−iii−i−iii−i−i0000−3−333−3−333−3−333000000000000000000000000
χ36222-22-2-2-2222222-2-222-2-2-2-2-2-200−2i2i000000−2i−2i2i2i00002-1-1-122-2-2-1-111-1-111-1-1112-2-2-111-111-1110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−2i−2i2i2iii−i−iii−i−iii−i−i000033−3−333−3−333−3−3000000000000000000000000
χ37222-22-2-2-2222222-2-222-2-2-2-2-2-200−2i2i000000−2i−2i2i2i0000-12-1-1-1-11122-2-2-1-111-1-111-1112-2-2-111-111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3ii−i−i−2i−2i2i2iii−i−iii−i−i−3−3330000−3−33333−3−3000000000000000000000000
χ38222-22-2-2-2222222-2-222-2-2-2-2-2-200−2i2i000000−2i−2i2i2i0000-12-1-1-1-11122-2-2-1-111-1-111-1112-2-2-111-111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3ii−i−i−2i−2i2i2iii−i−iii−i−i33−3−3000033−3−3−3−333000000000000000000000000
χ39222-22-2-2-2222222-2-222-2-2-2-2-2-200−2i2i000000−2i−2i2i2i0000-1-12-1-1-111-1-11122-2-2-1-111-111-1112-2-2-111−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3ii−i−iii−i−i−2i−2i2i2iii−i−i−3−33333−3−30000−3−333000000000000000000000000
χ40222-22-2-2-2222222-2-222-2-2-2-2-2-200−2i2i000000−2i−2i2i2i0000-1-12-1-1-111-1-11122-2-2-1-111-111-1112-2-2-111i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3ii−i−iii−i−i−2i−2i2i2iii−i−i33−3−3−3−333000033−3−3000000000000000000000000
χ41222-22-2-2-2222222-2-222-2-2-2-2-2-200−2i2i000000−2i−2i2i2i0000-1-1-12-1-111-1-111-1-11122-2-2-111-111-1112-2-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000ii−i−iii−i−iii−i−i−2i−2i2i2i−3−333−3−33333−3−30000000000000000000000000000
χ42222-22-2-2-2222222-2-222-2-2-2-2-2-200−2i2i000000−2i−2i2i2i0000-1-1-12-1-111-1-111-1-11122-2-2-111-111-1112-2-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000ii−i−iii−i−iii−i−i−2i−2i2i2i33−3−333−3−3−3−3330000000000000000000000000000
χ4322-22-22-2-22222-2-222-2-222-2-2-2-22i−2i00002i2i−2i−2i0000000022222-22-22-22-22-22-22-22-2-22-2-22-2-22-2-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ4422-22-22-2-22222-2-222-2-222-2-2-2-22i−2i00002i2i−2i−2i000000002-1-1-12-22-2-11-11-11-11-11-11-22-21-111-111-112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300003−33−33−33−33−33−3000000000000000000000000
χ4522-22-22-2-22222-2-222-2-222-2-2-2-22i−2i00002i2i−2i−2i000000002-1-1-12-22-2-11-11-11-11-11-11-22-21-111-111-112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000−33−33−33−33−33−33000000000000000000000000
χ4622-22-22-2-22222-2-222-2-222-2-2-2-22i−2i00002i2i−2i−2i00000000-12-1-1-11-112-22-2-11-11-11-111-11-22-21-111-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i33−33−300003−33−3−33−33000000000000000000000000
χ4722-22-22-2-22222-2-222-2-222-2-2-2-22i−2i00002i2i−2i−2i00000000-12-1-1-11-112-22-2-11-11-11-111-11-22-21-111-11−ii−ii2i−2i2i−2i−ii−ii−ii−iii3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3−33−330000−33−333−33−3000000000000000000000000
χ4822-22-22-2-22222-2-222-2-222-2-2-2-22i−2i00002i2i−2i−2i00000000-1-12-1-11-11-11-112-22-2-11-111-111-11-22-21-11−ii−ii−ii−ii2i−2i2i−2i−ii−ii−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i33−33−3−33−3300003−33−3000000000000000000000000
χ4922-22-22-2-22222-2-222-2-222-2-2-2-22i−2i00002i2i−2i−2i00000000-1-12-1-11-11-11-112-22-2-11-111-111-11-22-21-11−ii−ii−ii−ii2i−2i2i−2i−ii−iii3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3−33−333−33−30000−33−33000000000000000000000000
χ5022-22-22-2-22222-2-222-2-222-2-2-2-22i−2i00002i2i−2i−2i00000000-1-1-12-11-11-11-11-11-112-22-21-111-111-11-22-2−ii−ii−ii−ii−ii−ii2i−2i2i−2i−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300003−33−33−33−3−33−330000000000000000000000000000
χ5122-22-22-2-22222-2-222-2-222-2-2-2-22i−2i00002i2i−2i−2i00000000-1-1-12-11-11-11-11-11-112-22-21-111-111-11-22-2−ii−ii−ii−ii−ii−ii2i−2i2i−2ii3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000−33−33−33−333−33−30000000000000000000000000000
χ5222-22-22-2-22222-2-222-2-222-2-2-2-2−2i2i0000−2i−2i2i2i0000000022222-22-22-22-22-22-22-22-2-22-2-22-2-22-2-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000
χ5322-22-22-2-22222-2-222-2-222-2-2-2-2−2i2i0000−2i−2i2i2i000000002-1-1-12-22-2-11-11-11-11-11-11-22-21-111-111-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000−33−33−33−33−33−33000000000000000000000000
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χ1104-44-4-44-4444-4-444-4-4-4-444-4-444000000000000000000-2-2-242-2222-2222-222-44-4-42-2-22-2-22-2-2-444000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-444-4-4444-4-4-4-44444-4-4-4-4440000000000000000004-2-2-2-4-44-422-2222-2222-224-44-22-2-22-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-444-4-4444-4-4-4-44444-4-4-4-444000000000000000000-24-2-222-22-4-44-422-2222-22-22-24-44-22-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-444-4-4444-4-4-4-44444-4-4-4-444000000000000000000-2-24-222-2222-22-4-44-422-22-22-2-22-24-44-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-444-4-4444-4-4-4-44444-4-4-4-444000000000000000000-2-2-2422-2222-2222-22-4-44-4-22-2-22-2-22-24-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4444-444-4-4-4-4-4-4444444-4-40000000000000000004-2-2-2-4-4-44222-2222-2222-244-4-2-22-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4444-444-4-4-4-4-4-4444444-4-4000000000000000000-24-2-2222-2-4-4-44222-2222-2-2-2244-4-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1174-4-4-4444-444-4-4-4-4-4-4444444-4-4000000000000000000-2-24-2222-2222-2-4-4-44222-2-2-22-2-2244-4-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1184-4-4-4444-444-4-4-4-4-4-4444444-4-4000000000000000000-2-2-24222-2222-2222-2-4-4-44-2-22-2-22-2-2244-4000000000000000000000000000000000000000000000000000000000000000000000000
χ119666-66-6-6-6−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3006i−6i0000006ζ116ζ7−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ120666-66-6-6-6−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i300−6i6i000000−6ζ11−6ζ76ζ116ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ121666-66-6-6-6−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3006i−6i0000006ζ76ζ11−6ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ122666-66-6-6-6−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i300−6i6i000000−6ζ7−6ζ116ζ76ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12366-66-66-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i36i−6i00006ζ116ζ7−6ζ11−6ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12466-66-66-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−6i6i0000−6ζ11−6ζ76ζ116ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12566-66-66-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i36i−6i00006ζ76ζ11−6ζ7−6ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12666-66-66-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−6i6i0000−6ζ7−6ζ116ζ76ζ110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12766-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i300006-600000000−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12866-6-6-6-666−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i30000-66000000003+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12966-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i300006-600000000−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13066-6-6-6-666−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i30000-66000000003−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1316-666-6-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i0000000000002ζ112ζ7−2ζ11−2ζ7
χ1326-666-6-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i000000000000−2ζ11−2ζ72ζ112ζ7
χ1336-666-6-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i0000000000002ζ72ζ11−2ζ7−2ζ11
χ1346-666-6-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i000000000000−2ζ7−2ζ112ζ72ζ11
χ1356-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2000000−1−i3−1+i31+i31−i3000000000000
χ1366-66-6-66-66−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-220000001+i31−i3−1−i3−1+i3000000000000
χ1376-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2000000−1+i3−1−i31−i31+i3000000000000
χ1386-66-6-66-66−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-220000001−i31+i3−1+i3−1−i3000000000000
χ1396-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-200000000−1−i3−1+i31+i31−i300000000
χ1406-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22000000001+i31−i3−1−i3−1+i300000000
χ1416-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-200000000−1+i3−1−i31−i31+i300000000
χ1426-6-666-6-66−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22000000001−i31+i3−1+i3−1−i300000000
χ1436-6-6-6666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-20000000000−1−i3−1+i31+i31−i30000
χ1446-6-6-6666-6−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-2200000000001+i31−i3−1−i3−1+i30000
χ1456-6-6-6666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-20000000000−1+i3−1−i31−i31+i30000
χ1466-6-6-6666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-2200000000001−i31+i3−1+i3−1−i30000

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