Finite Group Databasebeta

← Group #13135514

Character table — Group #13135514

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size112222222222222333344444444444444444666666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212727272727272727272727272
order12234468812122424242433666812161616162424484848484848484833366666121212121212121212122424242424242424242424242424242466612121224242424242424244848484848484848484848484848484848484848484848484848484848484848244466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111−1−i32−1+i32−1−i32−1+i32111111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ6111111111111111−1−i32−1+i32−1−i32−1+i32111111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32
χ7111111111111111−1−i32−1+i32−1−i32−1+i32111-1-1-1-111-1-1-1-1-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ8111111111111111−1−i32−1+i32−1−i32−1+i32111-1-1-1-111-1-1-1-1-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ9111111111111111−1+i32−1−i32−1+i32−1−i32111111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ10111111111111111−1+i32−1−i32−1+i32−1−i32111111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32
χ11111111111111111−1+i32−1−i32−1+i32−1−i32111-1-1-1-111-1-1-1-1-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ12111111111111111−1+i32−1−i32−1+i32−1−i32111-1-1-1-111-1-1-1-1-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ1311-11-111-1-111-1-1-1-11111-11-1ii−i−i11iiii−i−i−i−i111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i1-1i−i11-1-1i−ii−i
χ1411-11-111-1-111-1-1-1-11111-11-1ii−i−i11iiii−i−i−i−i111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i-11−ii-1-111−ii−ii
χ1511-11-111-1-111-1-1-1-11111-11-1−i−iii11−i−i−i−iiiii111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii1-1−ii11-1-1−ii−ii
χ1611-11-111-1-111-1-1-1-11111-11-1−i−iii11−i−i−i−iiiii111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii-11i−i-1-111i−ii−i
χ1711-11-111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-1ii−i−i11iiii−i−i−i−i1−1−i32−1+i321−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32iiii−i−i−i−iζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ141-1i−i−1−i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ14
χ1811-11-111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-1ii−i−i11iiii−i−i−i−i1−1−i32−1+i321−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32iiii−i−i−i−iζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14-11−ii1+i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14
χ1911-11-111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-1−i−iii11−i−i−i−iiiii1−1−i32−1+i321−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−i−i−i−iiiii−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ141-1−ii−1−i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ14
χ2011-11-111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11-1−i−iii11−i−i−i−iiiii1−1−i32−1+i321−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−i−i−i−iiiii−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14-11i−i1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14
χ2111-11-111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-1ii−i−i11iiii−i−i−i−i1−1+i32−1−i321−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32iiii−i−i−i−iζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ221-1i−i−1+i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ22
χ2211-11-111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-1ii−i−i11iiii−i−i−i−i1−1+i32−1−i321−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32iiii−i−i−i−iζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22-11−ii1−i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22
χ2311-11-111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-1−i−iii11−i−i−i−iiiii1−1+i32−1−i321−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−i−i−i−iiiii−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ221-1−ii−1+i32−1−i321−i321+i32−ζ14ζ14−ζ22ζ22
χ2411-11-111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11-1−i−iii11−i−i−i−iiiii1−1+i32−1−i321−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−i−i−i−iiiii−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22-11i−i1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22
χ25222222222222222222222222222222222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000
χ262222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-111111111-2-21111-2-21111-2-21111-2-21111000000000000
χ27222222222222222−1−i3−1+i3−1−i3−1+i322222222222222222-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32-11+i321−i32-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32-1-1-1-1-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000000000
χ28222222222222222−1−i3−1+i3−1−i3−1+i3222-2-2-2-222-2-2-2-2-2-2-2-2-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-1−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32-11+i321−i32-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32111111111+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000000000
χ29222222222222222−1+i3−1−i3−1+i3−1−i322222222222222222-11−i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32-11−i321+i32-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32-1-1-1-1-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000000000
χ30222222222222222−1+i3−1−i3−1+i3−1−i3222-2-2-2-222-2-2-2-2-2-2-2-2-11−i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-1−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32-11−i321+i32-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32111111111−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000000000
χ312222222-2-222-2-2-2-222222-220000-2-200000000222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ322222222-2-222-2-2-2-222222-220000-2-200000000-1-1-1-1-1-1222222-1-1-1-1-1-11111-2-21111-2-21111-1-1-1-1-1-111-211-21133−3−333−3−30033−3−30033−3−30033−3−30033−3−3000000000000
χ332222222-2-222-2-2-2-222222-220000-2-200000000-1-1-1-1-1-1222222-1-1-1-1-1-11111-2-21111-2-21111-1-1-1-1-1-111-211-211−3−333−3−33300−3−33300−3−33300−3−33300−3−333000000000000
χ342222222-2-222-2-2-2-2−1−i3−1+i3−1−i3−1+i32-220000-2-2000000002−1−i3−1+i32−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-2-2-2-21+i31+i31+i31+i31+i31+i31−i31−i31−i31−i31−i31−i32−1−i3−1+i32−1−i3−1+i3-2-21+i31+i31+i31−i31−i31−i300000000000000000000000000000000000000000000
χ352222222-2-222-2-2-2-2−1−i3−1+i3−1−i3−1+i32-220000-2-200000000-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i3211111+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i32111+i3−1−i32−1−i321−i3−1+i32−1+i3233−3−333−3−3002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000000000
χ362222222-2-222-2-2-2-2−1−i3−1+i3−1−i3−1+i32-220000-2-200000000-11+i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i3211111+i31+i3−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i32111+i3−1−i32−1−i321−i3−1+i32−1+i32−3−333−3−33300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000000000
χ372222222-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i32-220000-2-2000000002−1+i3−1−i32−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3-2-2-2-21−i31−i31−i31−i31−i31−i31+i31+i31+i31+i31+i31+i32−1+i3−1−i32−1+i3−1−i3-2-21−i31−i31−i31+i31+i31+i300000000000000000000000000000000000000000000
χ382222222-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i32-220000-2-200000000-11−i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i3211111−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i32111−i3−1+i32−1+i321+i3−1−i32−1−i3233−3−333−3−300−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000000000
χ392222222-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i32-220000-2-200000000-11−i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i3211111−i31−i3−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i32111−i3−1+i32−1+i321+i3−1−i32−1−i32−3−333−3−33300ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000000000
χ402222-2-2200-2-20000222220-22−22−20022−2−222−2−222222222-2-2-2-2-2-2-2-2-2-20000000000000000222-2-2-2000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2000000000000
χ412222-2-2200-2-20000222220-22−22−20022−2−222−2−2-1-1-1-1-1-122-2-2-2-211111133−3−30033−3−30033−3−3-1-1-11113−303−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ422222-2-2200-2-20000222220-22−22−20022−2−222−2−2-1-1-1-1-1-122-2-2-2-2111111−3−33300−3−33300−3−333-1-1-1111−330−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ432222-2-2200-2-20000222220-2−22−2200−2−222−2−22222222222-2-2-2-2-2-2-2-2-2-20000000000000000222-2-2-200000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22000000000000
χ442222-2-2200-2-20000222220-2−22−2200−2−222−2−222-1-1-1-1-1-122-2-2-2-211111133−3−30033−3−30033−3−3-1-1-11113−303−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ452222-2-2200-2-20000222220-2−22−2200−2−222−2−222-1-1-1-1-1-122-2-2-2-2111111−3−33300−3−33300−3−333-1-1-1111−330−330−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ462222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i320-22−22−20022−2−222−2−22−1−i3−1+i32−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3-2-21+i31+i31−i31−i300000000000000002−1−i3−1+i3-21+i31−i3000000002−22−22−22−2−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23000000000000
χ472222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i320-22−22−20022−2−222−2−2-11+i321−i32-11+i321−i32−1−i3−1+i31+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3233−3−3002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22-11+i321−i321−1−i32−1+i323−302ζ14+ζ22−2ζ14−ζ220−ζ14−2ζ22ζ14+2ζ22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ7+ζ13ζ7−ζ13−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ7+ζ13ζ7−ζ13−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23ζ5−ζ23−ζ5+ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ5−ζ23−ζ5+ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13000000000000
χ482222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i320-22−22−20022−2−222−2−2-11+i321−i32-11+i321−i32−1−i3−1+i31+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i32−3−33300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22-11+i321−i321−1−i32−1+i32−330−2ζ14−ζ222ζ14+ζ220ζ14+2ζ22−ζ14−2ζ22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ7+ζ13ζ7−ζ13ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23−ζ7+ζ13ζ7−ζ13ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23000000000000
χ492222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i320-2−22−2200−2−222−2−2222−1−i3−1+i32−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3-2-21+i31+i31−i31−i300000000000000002−1−i3−1+i3-21+i31−i300000000−22−22−22−22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23000000000000
χ502222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i320-2−22−2200−2−222−2−222-11+i321−i32-11+i321−i32−1−i3−1+i31+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i3233−3−3002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22-11+i321−i321−1−i32−1+i323−302ζ14+ζ22−2ζ14−ζ220−ζ14−2ζ22ζ14+2ζ22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ7−ζ13−ζ7+ζ13ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ7−ζ13−ζ7+ζ13ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23−ζ5+ζ23ζ5−ζ23−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ5+ζ23ζ5−ζ23−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13000000000000
χ512222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i320-2−22−2200−2−222−2−222-11+i321−i32-11+i321−i32−1−i3−1+i31+i31−i31+i31−i311−1−i32−1−i32−1+i32−1+i32−3−33300−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22-11+i321−i321−1−i32−1+i32−330−2ζ14−ζ222ζ14+ζ220ζ14+2ζ22−ζ14−2ζ22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ7−ζ13−ζ7+ζ13−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23ζ7−ζ13−ζ7+ζ13−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ23000000000000
χ522222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i320-22−22−20022−2−222−2−22−1+i3−1−i32−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3-2-21−i31−i31+i31+i300000000000000002−1+i3−1−i3-21−i31+i3000000002−22−22−22−2ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13000000000000
χ532222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i320-22−22−20022−2−222−2−2-11−i321+i32-11−i321+i32−1+i3−1−i31−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3233−3−300−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22-11−i321+i321−1+i32−1−i323−30−ζ14−2ζ22ζ14+2ζ2202ζ14+ζ22−2ζ14−ζ22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ23−ζ5+ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ5−ζ23−ζ5+ζ23ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ7+ζ13ζ7−ζ13−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23000000000000
χ542222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i320-22−22−20022−2−222−2−2-11−i321+i32-11−i321+i32−1+i3−1−i31−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i32−3−33300ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22-11−i321+i321−1+i32−1−i32−330ζ14+2ζ22−ζ14−2ζ220−2ζ14−ζ222ζ14+ζ22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ23−ζ5+ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ7+ζ13ζ7−ζ13ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23−ζ7+ζ13ζ7−ζ13ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23000000000000
χ552222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i320-2−22−2200−2−222−2−2222−1+i3−1−i32−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3-2-21−i31−i31+i31+i300000000000000002−1+i3−1−i3-21−i31+i300000000−22−22−22−22−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000000000000
χ562222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i320-2−22−2200−2−222−2−222-11−i321+i32-11−i321+i32−1+i3−1−i31−i31+i31−i31+i311−1+i32−1+i32−1−i32−1−i3233−3−300−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22-11−i321+i321−1+i32−1−i323−30−ζ14−2ζ22ζ14+2ζ2202ζ14+ζ22−2ζ14−ζ22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ23ζ5−ζ23−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ5+ζ23ζ5−ζ23−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ7−ζ13−ζ7+ζ13ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.