Finite Group Databasebeta

← Group #13173164

Character table — Group #13173164

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1122222222222222222222222222222222222444466888888888888888888888888888888888888888888888888888888888888888888888812121212121212121212121212121212123636108108144144144144
order12333346666881212121212121212242424242424242424242424242424243366243333333366666666121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424666681212121224242424242424242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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−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−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+i32111111111111111111111−1−i32−1+i32−1−i32−1+i32
χ41111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−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−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−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+i3211111111111111111-1-1-1-11+i321−i321+i321−i32
χ51111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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+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+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−i32111111111111111111111−1+i32−1−i32−1+i32−1−i32
χ61111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+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+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+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−i3211111111111111111-1-1-1-11−i321+i321−i321+i32
χ711111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-11-1-1111-1-1
χ811111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-111-1-1-111
χ911111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i3211−1−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−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321111-11111-1-1-1-1-1-1-1-11-1-11−1−i32−1+i321+i321−i32
χ1011111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i3211−1−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−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321111-11111-1-1-1-1-1-1-1-1-111-11+i321−i32−1−i32−1+i32
χ1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−1+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+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321111-11111-1-1-1-1-1-1-1-11-1-11−1+i32−1−i321−i321+i32
χ1211111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i3211−1+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+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321111-11111-1-1-1-1-1-1-1-1-111-11−i321+i32−1+i32−1−i32
χ13222222-2222200-2-2-2-2-2-2-2-200000000000000002222-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2-2-2022220000000000000000
χ14222222-2222200-2-2-2-2-2-2-2-20000000000000000−1−i3−1+i3−1−i3−1+i3-22−1−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+i31+i31−i31+i31+i31+i31+i31+i31+i31+i31+i31−i31−i31−i31−i31−i31−i31−i31−i3000000000000000000000000000000000000-2-2-2-2022220000000000000000
χ15222222-2222200-2-2-2-2-2-2-2-20000000000000000−1+i3−1−i3−1+i3−1−i3-22−1+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−i31−i31+i31−i31−i31−i31−i31−i31−i31−i31−i31+i31+i31+i31+i31+i31+i31+i31+i3000000000000000000000000000000000000-2-2-2-2022220000000000000000
χ16222-1-1-122-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-100000000
χ17222-1-1-122-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i322−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−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+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i322-1-1-122-1-1-122-1-1-1-1-1-100000000
χ18222-1-1-122-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i322−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+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−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i322-1-1-122-1-1-122-1-1-1-1-1-100000000
χ19222-1-1-122-1-1-1-2-222-1-1-1-1-1-1-2-2-2-21111111111112222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-2-2-2-2-21111111111112-1-1-1-22-1-1-1-2-211111100000000
χ20222-1-1-122-1-1-1-2-222-1-1-1-1-1-1-2-2-2-2111111111111−1−i3−1+i3−1−i3−1+i322−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i322-1-1-1-22-1-1-1-2-211111100000000
χ21222-1-1-122-1-1-1-2-222-1-1-1-1-1-1-2-2-2-2111111111111−1+i3−1−i3−1+i3−1−i322−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i322-1-1-1-22-1-1-1-2-211111100000000
χ22222-1-1-1-22-1-1-100-2-21111110000333333−3−3−3−3−3−32222-222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-2111111000000333333−3−3−3−3−3−3000000333333−3−3−3−3−3−3-211102-1-1-100333−3−3−300000000
χ23222-1-1-1-22-1-1-100-2-21111110000333333−3−3−3−3−3−3−1−i3−1+i3−1−i3−1+i3-22−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22000000−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22-211102-1-1-100333−3−3−300000000
χ24222-1-1-1-22-1-1-100-2-21111110000333333−3−3−3−3−3−3−1+i3−1−i3−1+i3−1−i3-22−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ220000002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22-211102-1-1-100333−3−3−300000000
χ25222-1-1-1-22-1-1-100-2-21111110000−3−3−3−3−3−33333332222-222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-2111111000000−3−3−3−3−3−3333333000000−3−3−3−3−3−3333333-211102-1-1-100−3−3−333300000000
χ26222-1-1-1-22-1-1-100-2-21111110000−3−3−3−3−3−3333333−1−i3−1+i3−1−i3−1+i3-22−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22000000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22-211102-1-1-100−3−3−333300000000
χ27222-1-1-1-22-1-1-100-2-21111110000−3−3−3−3−3−3333333−1+i3−1−i3−1+i3−1−i3-22−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22000000−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22-211102-1-1-100−3−3−333300000000
χ2822-12-1-12-12-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-12-1-12-12-1-1-1-12-1-12-1-100000000
χ2922-12-1-12-12-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1−1−i3−1+i3−1−i3−1+i3221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i31+i321+i32−1−i3−1−i31+i321+i321+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+i32−1−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−i32-12-1-12-12-1-1-1-12-1-12-1-100000000
χ3022-12-1-12-12-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1−1+i3−1−i3−1+i3−1−i3221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i31−i321−i32−1+i3−1+i31−i321−i321−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−i32−1+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+i32-12-1-12-12-1-1-1-12-1-12-1-100000000
χ3122-12-1-12-12-1-1-2-2-1-122-1-1-1-11111-2-21111-2-21111222222-12-1-1-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-2-21111-2-21111-2-21111-12-1-1-2-12-1-111-211-21100000000
χ3222-12-1-12-12-1-1-2-2-1-122-1-1-1-11111-2-21111-2-21111−1−i3−1+i3−1−i3−1+i3221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−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−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+i32-12-1-1-2-12-1-111-211-21100000000
χ3322-12-1-12-12-1-1-2-2-1-122-1-1-1-11111-2-21111-2-21111−1+i3−1−i3−1+i3−1−i3221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+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+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−i32-12-1-1-2-12-1-111-211-21100000000
χ3422-12-1-1-2-12-1-10011-2-2111133−3−30033−3−30033−3−32222-22-12-1-1-12-1-1-12-1-1-12-1-1-2-211-2-2111111-2-211110033−3−30033−3−30033−3−30033−3−30033−3−30033−3−31-2110-12-1-13−303−303−300000000
χ3522-12-1-1-2-12-1-10011-2-2111133−3−30033−3−30033−3−3−1−i3−1+i3−1−i3−1+i3-221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ221-2110-12-1-13−303−303−300000000
χ3622-12-1-1-2-12-1-10011-2-2111133−3−30033−3−30033−3−3−1+i3−1−i3−1+i3−1−i3-221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ221-2110-12-1-13−303−303−300000000
χ3722-12-1-1-2-12-1-10011-2-21111−3−33300−3−33300−3−3332222-22-12-1-1-12-1-1-12-1-1-12-1-1-2-211-2-2111111-2-2111100−3−33300−3−33300−3−33300−3−33300−3−33300−3−3331-2110-12-1-1−330−330−3300000000
χ3822-12-1-1-2-12-1-10011-2-21111−3−33300−3−33300−3−333−1−i3−1+i3−1−i3−1+i3-221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ221-2110-12-1-1−330−330−3300000000
χ3922-12-1-1-2-12-1-10011-2-21111−3−33300−3−33300−3−333−1+i3−1−i3−1+i3−1−i3-221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ221-2110-12-1-1−330−330−3300000000
χ4022-1-12-12-1-12-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-12-12-1-12-1-1-1-12-1-1-1200000000
χ4122-1-12-12-1-12-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122−1−i3−1+i3−1−i3−1+i3221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3-1-12-12-1-12-1-1-1-12-1-1-1200000000
χ4222-1-12-12-1-12-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122−1+i3−1−i3−1+i3−1−i3221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3-1-12-12-1-12-1-1-1-12-1-1-1200000000
χ4322-1-12-12-1-12-1-2-2-1-1-1-122-1-1111111-2-2111111-2-2222222-1-12-1-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2111111-2-2111111-2-2-2-2111111-2-2111111-2-2-1-12-1-2-1-12-1111-2111-200000000
χ4422-1-12-12-1-12-1-2-2-1-1-1-122-1-1111111-2-2111111-2-2−1−i3−1+i3−1−i3−1+i3221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3-1-12-1-2-1-12-1111-2111-200000000
χ4522-1-12-12-1-12-1-2-2-1-1-1-122-1-1111111-2-2111111-2-2−1+i3−1−i3−1+i3−1−i3221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3-1-12-1-2-1-12-1111-2111-200000000
χ4622-1-12-1-2-1-12-1001111-2-21133−3−3−3−3003333−3−3002222-22-1-12-1-1-12-1-1-12-1-1-12-1-2-21111-2-2111111-2-2110033−3−3−3−3003333−3−3000033−3−3−3−3003333−3−30011-210-1-12-13−3−3033−3000000000
χ4722-1-12-1-2-1-12-1001111-2-21133−3−3−3−3003333−3−300−1−i3−1+i3−1−i3−1+i3-221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220000−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220011-210-1-12-13−3−3033−3000000000
χ4822-1-12-1-2-1-12-1001111-2-21133−3−3−3−3003333−3−300−1+i3−1−i3−1+i3−1−i3-221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220011-210-1-12-13−3−3033−3000000000
χ4922-1-12-1-2-1-12-1001111-2-211−3−3333300−3−3−3−333002222-22-1-12-1-1-12-1-1-12-1-1-12-1-2-21111-2-2111111-2-21100−3−3333300−3−3−3−3330000−3−3333300−3−3−3−3330011-210-1-12-1−3330−3−33000000000
χ5022-1-12-1-2-1-12-1001111-2-211−3−3333300−3−3−3−33300−1−i3−1+i3−1−i3−1+i3-221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3200−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220011-210-1-12-1−3330−3−33000000000
χ5122-1-12-1-2-1-12-1001111-2-211−3−3333300−3−3−3−33300−1+i3−1−i3−1+i3−1−i3-221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3200ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ2200ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ2200−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220011-210-1-12-1−3330−3−33000000000
χ5222-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1222222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-122-1-1-12-1-1-1-12-12-100000000
χ5322-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1−1−i3−1+i3−1−i3−1+i3221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i32-1-1-122-1-1-12-1-1-1-12-12-100000000
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χ13466-3-36-3-6-3-36-3003333-6-633−33−333333333300−33−33−33−3333330000002-20000000000000000000000000000000000000000000000000000000000000000000000-1-12-1011-213−3−3033−3000000000
χ13566-3-3-366-3-3-3666-3-3-3-3-3-366-3-3-3-3-3-3-3-366-3-366-3-30000-2-20000000000000000000000000000000000000000000000000000000000000000000000111-2-2111-21111-21-2100000000
χ13666-3-3-366-3-3-36-6-6-3-3-3-3-3-36633333333-6-633-6-6330000-2-20000000000000000000000000000000000000000000000000000000000000000000000111-22111-2-1-1-1-12-12-100000000
χ13766-3-3-36-6-3-3-3600333333-6-63333−33−333333−33−3300−33−3300333300002-20000000000000000000000000000000000000000000000000000000000000000000000-1-1-120111-2−33−33030−300000000
χ13866-3-3-36-6-3-3-3600333333-6-6−33−333333−33−33333300333300−33−3300002-20000000000000000000000000000000000000000000000000000000000000000000000-1-1-120111-23−33−30−30300000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.