Finite Group Databasebeta

← Group #72218301

Character table — Group #72218301

Order 3360.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1124444556677777777771010101010121414141414242424242828282828282828282828282828282828282828303035353535353535353535606060606070707070707070707070707070707070707070707070707070
order12451020204471433446612121212288882826612123570140140101015152020303030303030606060606060606028282266661212121214565656564668888121224242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-111-1-1-1-1111111-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111-1-111-1-1-1-11-1-1-1-11-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111
χ511111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i32111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ611111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-111−1−i32−1+i32−1−i32−1+i32111111−1−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+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-11−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ711111111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32111111-11+i321−i32−1−i32−1+i321111-1-1−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211111-1−1−i32−1+i32-1-1-1-11+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ811111111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-1-1-1-11-11+i321−i32−1−i32−1+i321111-1-1−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1−1−i32−1+i3211111+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ911111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i32111111−1+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−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ1011111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-111−1+i32−1−i32−1+i32−1−i32111111−1+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−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-11−1+i32−1−i32-1-1-1-1−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ1111111111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32111111-11−i321+i32−1+i32−1−i321111-1-1−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211111-1−1+i32−1−i32-1-1-1-11−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ1211111111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-1-1-1-11-11−i321+i32−1+i32−1−i321111-1-1−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1−1+i32−1−i3211111−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ131111111-1-1111111111111-1ii−i−i111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1ii−i−i-1-1ii−i−iii−i−iii−i−iii−i−i
χ141111111-1-1111111111111-1−i−iii111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1−i−iii-1-1−i−iii−i−iii−i−iii−i−iii
χ151111111-1-11111-1-111-1-1-1-1-1ii−i−i1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1ii−i−i1-1-1−i−iii11ii−i−iii−i−i−i−iii−i−iii
χ161111111-1-11111-1-111-1-1-1-1-1−i−iii1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1−i−iii1-1-1ii−i−i11−i−iii−i−iiiii−i−iii−i−i
χ171111111-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1ii−i−i11−1−i32−1+i32−1−i32−1+i32111111−1−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+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1ii−i−i-11+i321−i32ii−i−i1+i321−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59
χ181111111-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1−i−iii11−1−i32−1+i32−1−i32−1+i32111111−1−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+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1−i−iii-11+i321−i32−i−iii1+i321−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59
χ191111111-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1ii−i−i1-11+i321−i32−1−i32−1+i321111-1-1−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1ii−i−i11+i321−i32−i−iii−1−i32−1+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59
χ201111111-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1−i−iii1-11+i321−i32−1−i32−1+i321111-1-1−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1−i−iii11+i321−i32ii−i−i−1−i32−1+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59
χ211111111-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1ii−i−i11−1+i32−1−i32−1+i32−1−i32111111−1+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−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1ii−i−i-11−i321+i32ii−i−i1−i321+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ221111111-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1−i−iii11−1+i32−1−i32−1+i32−1−i32111111−1+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−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1−i−iii-11−i321+i32−i−iii1−i321+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ231111111-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1ii−i−i1-11−i321+i32−1+i32−1−i321111-1-1−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1ii−i−i11−i321+i32−i−iii−1+i32−1−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ241111111-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1−i−iii1-11−i321+i32−1+i32−1−i321111-1-1−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1−i−iii11−i321+i32ii−i−i−1+i32−1−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ2511-111-1-111111111111111-11-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-11-11-1-1-1-11-11-1-1-11-11-11-11-11-11-11-11-1
χ2611-111-1-111111111111111-1-11-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-11-11-1-1-1-11-11-1-1-11-11-11-11-11-11-11-11
χ2711-111-1-1111111-1-111-1-1-1-1-11-11-1-1111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-11-11-1-1-11-11111-11-11-11-1-11-11-11-11
χ2811-111-1-1111111-1-111-1-1-1-1-1-11-11-1111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-111-1-11-11-111-11-11-11-111-11-11-11-1
χ2911-111-1-11111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-11-1-1-11+i321−i321+i321−i3211-1-1-1-1−1−i32−1+i32111+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-11-1-11+i321−i321-11-11+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ3011-111-1-11111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-11-1-11+i321−i321+i321−i3211-1-1-1-1−1−i32−1+i32111+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-11-11+i321−i32-11-111+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ3111-111-1-11111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-11-11-1-11−1−i32−1+i321+i321−i3211-1-111−1−i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-11-111+i321−i32-11-11−1−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32
χ3211-111-1-11111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-11-11-11−1−i32−1+i321+i321−i3211-1-111−1−i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i3211-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11-1111+i321−i321-11-1−1−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32
χ3311-111-1-11111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-11-1-1-11−i321+i321−i321+i3211-1-1-1-1−1+i32−1−i32111−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-11-1-11−i321+i321-11-11−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ3411-111-1-11111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-11-1-11−i321+i321−i321+i3211-1-1-1-1−1+i32−1−i32111−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-11-11−i321+i32-11-111−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ3511-111-1-11111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-11-11-1-11−1+i32−1−i321−i321+i3211-1-111−1+i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-11-111−i321+i32-11-11−1+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32
χ3611-111-1-11111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-11-11-11−1+i32−1−i321−i321+i3211-1-111−1+i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i3211-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11-1111−i321+i321-11-1−1+i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32
χ3711-111-1-1-1-11111111111111i−i−ii-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii111i−i−ii11i−i−iii−i−iii−i−iii−i−ii
χ3811-111-1-1-1-11111111111111−iii−i-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11−iii−i111−iii−i11−iii−i−iii−i−iii−i−iii−i
χ3911-111-1-1-1-11111-1-111-1-1-1-11i−i−ii-1111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11i−i−ii-111−iii−i-1-1i−i−iii−i−ii−iii−i−iii−i
χ4011-111-1-1-1-11111-1-111-1-1-1-11−iii−i-1111-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11−iii−i-111i−i−ii-1-1−iii−i−iii−ii−i−iii−i−ii
χ4111-111-1-1-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321i−i−ii-1-11+i321−i321+i321−i3211-1-1-1-1−1−i32−1+i32111+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321i−i−ii1−1−i32−1+i32i−i−ii−1−i32−1+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ4211-111-1-1-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−iii−i-1-11+i321−i321+i321−i3211-1-1-1-1−1−i32−1+i32111+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−iii−i1−1−i32−1+i32−iii−i−1−i32−1+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ4311-111-1-1-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321i−i−ii-11−1−i32−1+i321+i321−i3211-1-111−1−i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321i−i−ii-1−1−i32−1+i32−iii−i1+i321−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ4411-111-1-1-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321−iii−i-11−1−i32−1+i321+i321−i3211-1-111−1−i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321−iii−i-1−1−i32−1+i32i−i−ii1+i321−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ4511-111-1-1-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321i−i−ii-1-11−i321+i321−i321+i3211-1-1-1-1−1+i32−1−i32111−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321i−i−ii1−1+i32−1−i32i−i−ii−1+i32−1−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ4611-111-1-1-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−iii−i-1-11−i321+i321−i321+i3211-1-1-1-1−1+i32−1−i32111−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−iii−i1−1+i32−1−i32−iii−i−1+i32−1−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ4711-111-1-1-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321i−i−ii-11−1+i32−1−i321−i321+i3211-1-111−1+i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321i−i−ii-1−1+i32−1−i32−iii−i1−i321+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ4811-111-1-1-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321−iii−i-11−1+i32−1−i321−i321+i3211-1-111−1+i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−iii−i-1−1+i32−1−i32i−i−ii1−i321+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.