Finite Group Databasebeta

← Group #11787922

Character table — Group #11787922

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222444444444444444444448888888888121212121212121224242424111122222222222222444444444444444444448888888888121212121212121224242424111122222222222222444444444444444444448888888888121212121212121224242424
order12222222223666666622224444666666666666441212121212121212224444444444366666666636666666666612121212666666666666121212121212121212126612121212121212121212366666666636666666666612121212666666666666121212121212121212126612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-111-1-11-11111-1-1-1-111-1-1ii−i−i11-1-11111-1-1-1-1i−iii−i−iii−i−i1-11-1ii−i−i1-1i−i11-1-111-1-11-11111-1-1-1-111-1-1ii−i−i11-1-11111-1-1-1-1i−iii−i−iii−i−i1-11-1ii−i−i1-1i−i11-1-111-1-11-11111-1-1-1-111-1-1ii−i−i11-1-11111-1-1-1-1i−iii−i−iii−i−i1-11-1ii−i−i1-1i−i
χ1011-1-111-1-11-11111-1-1-1-111-1-1ii−i−i11-1-11111-1-1-1-1i−iii−i−iii−i−i-11-11−i−iii-11−ii11-1-111-1-11-11111-1-1-1-111-1-1ii−i−i11-1-11111-1-1-1-1i−iii−i−iii−i−i-11-11−i−iii-11−ii11-1-111-1-11-11111-1-1-1-111-1-1ii−i−i11-1-11111-1-1-1-1i−iii−i−iii−i−i-11-11−i−iii-11−ii
χ1111-1-111-1-11-11111-1-1-1-111-1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii−i−iii1-11-1−i−iii1-1−ii11-1-111-1-11-11111-1-1-1-111-1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii−i−iii1-11-1−i−iii1-1−ii11-1-111-1-11-11111-1-1-1-111-1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii−i−iii1-11-1−i−iii1-1−ii
χ1211-1-111-1-11-11111-1-1-1-111-1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii−i−iii-11-11ii−i−i-11i−i11-1-111-1-11-11111-1-1-1-111-1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii−i−iii-11-11ii−i−i-11i−i11-1-111-1-11-11111-1-1-1-111-1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii−i−iii-11-11ii−i−i-11i−i
χ1311-1-111-1-11-11111-1-1-1-1-1-111ii−i−i11-1-1-1-1-1-11111−iiii−i−i−i−iii1-11-1ii−i−i-11−ii11-1-111-1-11-11111-1-1-1-1-1-111ii−i−i11-1-1-1-1-1-11111−iiii−i−i−i−iii1-11-1ii−i−i-11−ii11-1-111-1-11-11111-1-1-1-1-1-111ii−i−i11-1-1-1-1-1-11111−iiii−i−i−i−iii1-11-1ii−i−i-11−ii
χ1411-1-111-1-11-11111-1-1-1-1-1-111ii−i−i11-1-1-1-1-1-11111−iiii−i−i−i−iii-11-11−i−iii1-1i−i11-1-111-1-11-11111-1-1-1-1-1-111ii−i−i11-1-1-1-1-1-11111−iiii−i−i−i−iii-11-11−i−iii1-1i−i11-1-111-1-11-11111-1-1-1-1-1-111ii−i−i11-1-1-1-1-1-11111−iiii−i−i−i−iii-11-11−i−iii1-1i−i
χ1511-1-111-1-11-11111-1-1-1-1-1-111−i−iii11-1-1-1-1-1-11111i−i−i−iiiii−i−i1-11-1−i−iii-11i−i11-1-111-1-11-11111-1-1-1-1-1-111−i−iii11-1-1-1-1-1-11111i−i−i−iiiii−i−i1-11-1−i−iii-11i−i11-1-111-1-11-11111-1-1-1-1-1-111−i−iii11-1-1-1-1-1-11111i−i−i−iiiii−i−i1-11-1−i−iii-11i−i
χ1611-1-111-1-11-11111-1-1-1-1-1-111−i−iii11-1-1-1-1-1-11111i−i−i−iiiii−i−i-11-11ii−i−i1-1−ii11-1-111-1-11-11111-1-1-1-1-1-111−i−iii11-1-1-1-1-1-11111i−i−i−iiiii−i−i-11-11ii−i−i1-1−ii11-1-111-1-11-11111-1-1-1-1-1-111−i−iii11-1-1-1-1-1-11111i−i−i−iiiii−i−i-11-11ii−i−i1-1−ii
χ172222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000002222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000002222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ182222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111110000000000002222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111110000000000002222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111000000000000
χ192222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-111111111-2-2-1-1-1-111110000000000002222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-111111111-2-2-1-1-1-111110000000000002222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-111111111-2-2-1-1-1-11111000000000000
χ202222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111221111-1-1-1-10000000000002222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111221111-1-1-1-10000000000002222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111221111-1-1-1-1000000000000
χ2122222-2-22-2-22222222200002-22-2-2-2-2-200000000002-22-2000000000000000022222-2-22-2-22222222200002-22-2-2-2-2-200000000002-22-2000000000000000022222-2-22-2-22222222200002-22-2-2-2-2-200000000002-22-20000000000000000
χ2222222-2-22-2-2222222220000-22-22-2-2-2-20000000000-22-22000000000000000022222-2-22-2-2222222220000-22-22-2-2-2-20000000000-22-22000000000000000022222-2-22-2-2222222220000-22-22-2-2-2-20000000000-22-220000000000000000
χ2322222-2-22-2-2-1-1-1-1-1-1-1-100002-22-21111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i300000000000022222-2-22-2-2-1-1-1-1-1-1-1-100002-22-21111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i300000000000022222-2-22-2-2-1-1-1-1-1-1-1-100002-22-21111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i3000000000000
χ2422222-2-22-2-2-1-1-1-1-1-1-1-100002-22-21111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i300000000000022222-2-22-2-2-1-1-1-1-1-1-1-100002-22-21111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i300000000000022222-2-22-2-2-1-1-1-1-1-1-1-100002-22-21111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i3000000000000
χ2522222-2-22-2-2-1-1-1-1-1-1-1-10000-22-221111−i3−i3i3i3−i3−i3i3i3001-11-1i3−i3i3−i300000000000022222-2-22-2-2-1-1-1-1-1-1-1-10000-22-221111−i3−i3i3i3−i3−i3i3i3001-11-1i3−i3i3−i300000000000022222-2-22-2-2-1-1-1-1-1-1-1-10000-22-221111−i3−i3i3i3−i3−i3i3i3001-11-1i3−i3i3−i3000000000000
χ2622222-2-22-2-2-1-1-1-1-1-1-1-10000-22-221111i3i3−i3−i3i3i3−i3−i3001-11-1−i3i3−i3i300000000000022222-2-22-2-2-1-1-1-1-1-1-1-10000-22-221111i3i3−i3−i3i3i3−i3−i3001-11-1−i3i3−i3i300000000000022222-2-22-2-2-1-1-1-1-1-1-1-10000-22-221111i3i3−i3−i3i3i3−i3−i3001-11-1−i3i3−i3i3000000000000
χ272222-22-2-2-2222-2-222-2-2000000002-22-200000000000000000000002-22-200002222-22-2-2-2222-2-222-2-2000000002-22-200000000000000000000002-22-200002222-22-2-2-2222-2-222-2-2000000002-22-200000000000000000000002-22-20000
χ282222-22-2-2-2222-2-222-2-2000000002-22-20000000000000000000000-22-2200002222-22-2-2-2222-2-222-2-2000000002-22-20000000000000000000000-22-2200002222-22-2-2-2222-2-222-2-2000000002-22-20000000000000000000000-22-220000
χ292222-2-22-22-222-2-222-2-200000000-22-2200000000000000000022-2-2000000002222-2-22-22-222-2-222-2-200000000-22-2200000000000000000022-2-2000000002222-2-22-22-222-2-222-2-200000000-22-2200000000000000000022-2-200000000
χ302222-2-22-22-222-2-222-2-200000000-22-22000000000000000000-2-222000000002222-2-22-22-222-2-222-2-200000000-22-22000000000000000000-2-222000000002222-2-22-22-222-2-222-2-200000000-22-22000000000000000000-2-22200000000
χ3122-2-222-2-22-2-1-1-1-1111122-2-22i2i−2i−2i-1-111-1-1-1-111112i−2i−i−iii−i−iii00000000000022-2-222-2-22-2-1-1-1-1111122-2-22i2i−2i−2i-1-111-1-1-1-111112i−2i−i−iii−i−iii00000000000022-2-222-2-22-2-1-1-1-1111122-2-22i2i−2i−2i-1-111-1-1-1-111112i−2i−i−iii−i−iii000000000000
χ3222-2-222-2-22-2-1-1-1-1111122-2-2−2i−2i2i2i-1-111-1-1-1-11111−2i2iii−i−iii−i−i00000000000022-2-222-2-22-2-1-1-1-1111122-2-2−2i−2i2i2i-1-111-1-1-1-11111−2i2iii−i−iii−i−i00000000000022-2-222-2-22-2-1-1-1-1111122-2-2−2i−2i2i2i-1-111-1-1-1-11111−2i2iii−i−iii−i−i000000000000
χ3322-2-222-2-22-2-1-1-1-11111-2-2222i2i−2i−2i-1-1111111-1-1-1-1−2i2i−i−iiiii−i−i00000000000022-2-222-2-22-2-1-1-1-11111-2-2222i2i−2i−2i-1-1111111-1-1-1-1−2i2i−i−iiiii−i−i00000000000022-2-222-2-22-2-1-1-1-11111-2-2222i2i−2i−2i-1-1111111-1-1-1-1−2i2i−i−iiiii−i−i000000000000
χ3422-2-222-2-22-2-1-1-1-11111-2-222−2i−2i2i2i-1-1111111-1-1-1-12i−2iii−i−i−i−iii00000000000022-2-222-2-22-2-1-1-1-11111-2-222−2i−2i2i2i-1-1111111-1-1-1-12i−2iii−i−i−i−iii00000000000022-2-222-2-22-2-1-1-1-11111-2-222−2i−2i2i2i-1-1111111-1-1-1-12i−2iii−i−i−i−iii000000000000
χ3522-2-22-22-2-222222-2-2-2-200002i−2i−2i2i-2-22200000000002i−2i−2i2i000000000000000022-2-22-22-2-222222-2-2-2-200002i−2i−2i2i-2-22200000000002i−2i−2i2i000000000000000022-2-22-22-2-222222-2-2-2-200002i−2i−2i2i-2-22200000000002i−2i−2i2i0000000000000000
χ3622-2-22-22-2-222222-2-2-2-20000−2i2i2i−2i-2-2220000000000−2i2i2i−2i000000000000000022-2-22-22-2-222222-2-2-2-20000−2i2i2i−2i-2-2220000000000−2i2i2i−2i000000000000000022-2-22-22-2-222222-2-2-2-20000−2i2i2i−2i-2-2220000000000−2i2i2i−2i0000000000000000
χ3722-2-22-22-2-22-1-1-1-1111100002i−2i−2i2i11-1-1−i3−i3i3i3i3i3−i3−i300−iii−i3−3−3300000000000022-2-22-22-2-22-1-1-1-1111100002i−2i−2i2i11-1-1−i3−i3i3i3i3i3−i3−i300−iii−i3−3−3300000000000022-2-22-22-2-22-1-1-1-1111100002i−2i−2i2i11-1-1−i3−i3i3i3i3i3−i3−i300−iii−i3−3−33000000000000
χ3822-2-22-22-2-22-1-1-1-1111100002i−2i−2i2i11-1-1i3i3−i3−i3−i3−i3i3i300−iii−i−333−300000000000022-2-22-22-2-22-1-1-1-1111100002i−2i−2i2i11-1-1i3i3−i3−i3−i3−i3i3i300−iii−i−333−300000000000022-2-22-22-2-22-1-1-1-1111100002i−2i−2i2i11-1-1i3i3−i3−i3−i3−i3i3i300−iii−i−333−3000000000000
χ3922-2-22-22-2-22-1-1-1-111110000−2i2i2i−2i11-1-1−i3−i3i3i3i3i3−i3−i300i−i−ii−333−300000000000022-2-22-22-2-22-1-1-1-111110000−2i2i2i−2i11-1-1−i3−i3i3i3i3i3−i3−i300i−i−ii−333−300000000000022-2-22-22-2-22-1-1-1-111110000−2i2i2i−2i11-1-1−i3−i3i3i3i3i3−i3−i300i−i−ii−333−3000000000000
χ4022-2-22-22-2-22-1-1-1-111110000−2i2i2i−2i11-1-1i3i3−i3−i3−i3−i3i3i300i−i−ii3−3−3300000000000022-2-22-22-2-22-1-1-1-111110000−2i2i2i−2i11-1-1i3i3−i3−i3−i3−i3i3i300i−i−ii3−3−3300000000000022-2-22-22-2-22-1-1-1-111110000−2i2i2i−2i11-1-1i3i3−i3−i3−i3−i3i3i300i−i−ii3−3−33000000000000
χ4122-2-2-2222-2-222-2-2-2-222000000002-2-2200000000000000000000002i−2i−2i2i000022-2-2-2222-2-222-2-2-2-222000000002-2-2200000000000000000000002i−2i−2i2i000022-2-2-2222-2-222-2-2-2-222000000002-2-2200000000000000000000002i−2i−2i2i0000
χ4222-2-2-2222-2-222-2-2-2-222000000002-2-220000000000000000000000−2i2i2i−2i000022-2-2-2222-2-222-2-2-2-222000000002-2-220000000000000000000000−2i2i2i−2i000022-2-2-2222-2-222-2-2-2-222000000002-2-220000000000000000000000−2i2i2i−2i0000
χ4322-2-2-2-2-222222-2-2-2-22200000000-222-20000000000000000002-2-220000000022-2-2-2-2-222222-2-2-2-22200000000-222-20000000000000000002-2-220000000022-2-2-2-2-222222-2-2-2-22200000000-222-20000000000000000002-2-2200000000
χ4422-2-2-2-2-222222-2-2-2-22200000000-222-2000000000000000000-222-20000000022-2-2-2-2-222222-2-2-2-22200000000-222-2000000000000000000-222-20000000022-2-2-2-2-222222-2-2-2-22200000000-222-2000000000000000000-222-200000000
χ454444-44-4-4-44-2-222-2-22200000000-22-220000000000000000000000000000004444-44-4-4-44-2-222-2-22200000000-22-220000000000000000000000000000004444-44-4-4-44-2-222-2-22200000000-22-22000000000000000000000000000000
χ464444-4-44-44-4-2-222-2-222000000002-22-20000000000000000000000000000004444-4-44-44-4-2-222-2-222000000002-22-20000000000000000000000000000004444-4-44-44-4-2-222-2-222000000002-22-2000000000000000000000000000000
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χ13011-1-111-1-11-11111-1-1-1-111-1-1ii−i−i11-1-11111-1-1-1-1i−iii−i−iii−i−i-11-11−i−iii-11−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32−ζ7ζ7
χ13111-1-111-1-11-11111-1-1-1-111-1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii−i−iii1-11-1−i−iii1-1−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7
χ13211-1-111-1-11-11111-1-1-1-111-1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii−i−iii-11-11ii−i−i-11i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ7
χ13311-1-111-1-11-11111-1-1-1-1-1-111ii−i−i11-1-1-1-1-1-11111−iiii−i−i−i−iii1-11-1ii−i−i-11−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7
χ13411-1-111-1-11-11111-1-1-1-1-1-111ii−i−i11-1-1-1-1-1-11111−iiii−i−i−i−iii-11-11−i−iii1-1i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32ζ7−ζ7
χ13511-1-111-1-11-11111-1-1-1-1-1-111−i−iii11-1-1-1-1-1-11111i−i−i−iiiii−i−i1-11-1−i−iii-11i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7
χ13611-1-111-1-11-11111-1-1-1-1-1-111−i−iii11-1-1-1-1-1-11111i−i−i−iiiii−i−i-11-11ii−i−i1-1−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i32−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i32−ζ7ζ7
χ1372222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ1382222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ1392222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-111111111-2-2-1-1-1-11111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ1402222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111221111-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
χ14122222-2-22-2-22222222200002-22-2-2-2-2-200000000002-22-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000−1−i31+i3−1−i31+i31+i31+i31+i31+i30000000000−1−i31+i3−1−i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000−1+i31−i3−1+i31−i31−i31−i31−i31−i30000000000−1+i31−i3−1+i31−i30000000000000000
χ14222222-2-22-2-2222222220000-22-22-2-2-2-20000000000-22-220000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i3−1−i31+i3−1−i31+i31+i31+i31+i300000000001+i3−1−i31+i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i3−1+i31−i3−1+i31−i31−i31−i31−i300000000001−i3−1+i31−i3−1+i30000000000000000
χ14322222-2-22-2-2-1-1-1-1-1-1-1-100002-22-21111−i3−i3i3i3−i3−i3i3i300-11-11−i3i3−i3i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i31+i3−1−i31+i3−1−i32−1−i32−1−i32−1−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32001+i32−1−i321+i32−1−i32−3+i323−i32−3+i323−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i31−i3−1+i31−i3−1+i32−1+i32−1+i32−1+i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i32001−i32−1+i321−i32−1+i323+i32−3−i323+i32−3−i32000000000000
χ14422222-2-22-2-2-1-1-1-1-1-1-1-100002-22-21111i3i3−i3−i3i3i3−i3−i300-11-11i3−i3i3−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i31+i3−1−i31+i3−1−i32−1−i32−1−i32−1−i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i32001+i32−1−i321+i32−1−i323−i32−3+i323−i32−3+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i31−i3−1+i31−i3−1+i32−1+i32−1+i32−1+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32001−i32−1+i321−i32−1+i32−3−i323+i32−3−i323+i32000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.