Finite Group Databasebeta

← Group #11752231

Character table — Group #11752231

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size145551455514555145552810101028101010281010102810101028101010281010101455514555145551455528101010281010102810101028101010281010102810101014555145551455514555281010102810101028101010281010102810101028101010
order1524421024421024421024421024421024442044442044442044442044431561212630612126306121263061212630612126306121212601212121260121212126012121212601212123156121263061212630612126306121263061212630612121260121212126012121212601212121260121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1
χ311-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i
χ411-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii
χ54-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-10004-1000
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ7111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111
χ811-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii-1-11−ii
χ911-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i
χ104-10004-10004-10004-10004-10004-1000-41000-41000-41000-410004-10004-10004-10004-10004-10004-1000-41000-41000-41000-410004-10004-10004-10004-10004-10004-1000-41000-41000-41000-41000
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ12111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-111-1-1-111
χ1311-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i-1-11−ii-1-11−ii
χ1411-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii11-1−ii-1-11i−i-1-11i−i
χ154-10004-10004-10004-1000-41000-410004-10004-1000-41000-410004-10004-10004-10004-1000-41000-410004-10004-1000-41000-410004-10004-10004-10004-1000-41000-410004-10004-1000-41000-41000
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ17111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1
χ1811-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii-1-11−ii11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii-1-11−ii11-1i−i11-1i−i
χ1911-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i11-1−ii11-1−ii
χ204-10004-10004-10004-1000-41000-41000-41000-410004-10004-10004-10004-10004-10004-1000-41000-41000-41000-410004-10004-10004-10004-10004-10004-1000-41000-41000-41000-410004-10004-1000
χ211111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i
χ22111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111iii−i−i−i−i−iiiiii−i−i−i−i−iii111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111iii−i−i−i−i−iiiiii−i−i−i−i−iii111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111iii−i−i−i−i−iiiiii−i−i−i−i−iii
χ2311-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−iiii−i-11−i−ii1-1ii−i-11−i−ii1-111-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−iiii−i-11−i−ii1-1ii−i-11−i−ii1-111-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−iiii−i-11−i−ii1-1ii−i-11−i−ii1-1
χ2411-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-11ii−i1-1−i−ii-1111-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-11ii−i1-1−i−ii-1111-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−iii−i1-1−i−ii-11ii−i1-1−i−ii-11
χ254-10004-1000-41000-410004-1000-410004i−i000−4ii0004i−i000−4ii0004-10004-1000-41000-410004-1000-410004i−i000−4ii0004i−i000−4ii0004-10004-1000-41000-410004-1000-410004i−i000−4ii0004i−i000−4ii000
χ261111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii1111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii1111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii
χ27111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111−i−i−iiiiii−i−i−i−i−iiiiii−i−i111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111−i−i−iiiiii−i−i−i−i−iiiiii−i−i111-1-1111-1-1-1-1-111-1-1-111111-1-1-1-1-111−i−i−iiiiii−i−i−i−i−iiiiii−i−i
χ2811-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−ii−i−ii1-1ii−i-11−i−ii1-1ii−i-1111-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−ii−i−ii1-1ii−i-11−i−ii1-1ii−i-1111-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i-1-11−ii−i−ii1-1ii−i-11−i−ii1-1ii−i-11
χ2911-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−i−i−ii-11ii−i1-1−i−ii-11ii−i1-111-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−i−i−ii-11ii−i1-1−i−ii-11ii−i1-111-1−ii11-1−ii-1-11i−i-1-11i−i11-1−ii-1-11i−i−i−ii-11ii−i1-1−i−ii-11ii−i1-1
χ304-10004-1000-41000-410004-1000-41000−4ii0004i−i000−4ii0004i−i0004-10004-1000-41000-410004-1000-41000−4ii0004i−i000−4ii0004i−i0004-10004-1000-41000-410004-1000-41000−4ii0004i−i000−4ii0004i−i000
χ311111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii
χ32111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1iii−i−i−i−i−iii−i−i−iiiiii−i−i111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1iii−i−i−i−i−iii−i−i−iiiiii−i−i111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1iii−i−i−i−i−iii−i−i−iiiiii−i−i
χ3311-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−iii−i-11−i−ii1-1−i−ii1-1ii−i-1111-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−iii−i-11−i−ii1-1−i−ii1-1ii−i-1111-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−iii−i-11−i−ii1-1−i−ii1-1ii−i-11
χ3411-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−iiii−i1-1−i−ii-11−i−ii-11ii−i1-111-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−iiii−i1-1−i−ii-11−i−ii-11ii−i1-111-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−iiii−i1-1−i−ii-11−i−ii-11ii−i1-1
χ354-10004-1000-41000-41000-410004-10004i−i000−4ii000−4ii0004i−i0004-10004-1000-41000-41000-410004-10004i−i000−4ii000−4ii0004i−i0004-10004-1000-41000-41000-410004-10004i−i000−4ii000−4ii0004i−i000
χ361111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i
χ37111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1−i−i−iiiiii−i−iiii−i−i−i−i−iii111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1−i−i−iiiiii−i−iiii−i−i−i−i−iii111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1−i−i−iiiiii−i−iiii−i−i−i−i−iii
χ3811-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−i−i−ii1-1ii−i-11ii−i-11−i−ii1-111-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−i−i−ii1-1ii−i-11ii−i-11−i−ii1-111-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−i−i−ii1-1ii−i-11ii−i-11−i−ii1-1
χ3911-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−ii−i−ii-11ii−i1-1ii−i1-1−i−ii-1111-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−ii−i−ii-11ii−i1-1ii−i1-1−i−ii-1111-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−ii−i−ii-11ii−i1-1ii−i1-1−i−ii-11
χ404-10004-1000-41000-41000-410004-1000−4ii0004i−i0004i−i000−4ii0004-10004-1000-41000-41000-410004-1000−4ii0004i−i0004i−i000−4ii0004-10004-1000-41000-41000-410004-1000−4ii0004i−i0004i−i000−4ii000
χ4122222-2-2-2-2-222222-2-2-2-2-200000000000000000000000000000022222-2-2-2-2-222222-2-2-2-2-200000000000000000000000000000022222-2-2-2-2-222222-2-2-2-2-2000000000000000000000000000000
χ42222-2-2-2-2-222222-2-2-2-2-222000000000000000000000000000000222-2-2-2-2-222222-2-2-2-2-222000000000000000000000000000000222-2-2-2-2-222222-2-2-2-2-222000000000000000000000000000000
χ4322-22i−2i-2-22−2i2i22-22i−2i-2-22−2i2i00000000000000000000000000000022-22i−2i-2-22−2i2i22-22i−2i-2-22−2i2i00000000000000000000000000000022-22i−2i-2-22−2i2i22-22i−2i-2-22−2i2i000000000000000000000000000000
χ4422-2−2i2i-2-222i−2i22-2−2i2i-2-222i−2i00000000000000000000000000000022-2−2i2i-2-222i−2i22-2−2i2i-2-222i−2i00000000000000000000000000000022-2−2i2i-2-222i−2i22-2−2i2i-2-222i−2i000000000000000000000000000000
χ458-2000-820008-2000-820000000000000000000000000000000008-2000-820008-2000-820000000000000000000000000000000008-2000-820008-2000-82000000000000000000000000000000000
χ4622222-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000022222-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000022222-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000
χ47222-2-2-2-2-222-2-2-222222-2-2000000000000000000000000000000222-2-2-2-2-222-2-2-222222-2-2000000000000000000000000000000222-2-2-2-2-222-2-2-222222-2-2000000000000000000000000000000
χ4822-22i−2i-2-22−2i2i-2-22−2i2i22-22i−2i00000000000000000000000000000022-22i−2i-2-22−2i2i-2-22−2i2i22-22i−2i00000000000000000000000000000022-22i−2i-2-22−2i2i-2-22−2i2i22-22i−2i000000000000000000000000000000
χ4922-2−2i2i-2-222i−2i-2-222i−2i22-2−2i2i00000000000000000000000000000022-2−2i2i-2-222i−2i-2-222i−2i22-2−2i2i00000000000000000000000000000022-2−2i2i-2-222i−2i-2-222i−2i22-2−2i2i000000000000000000000000000000
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χ10411-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7
χ1054-10004-10004-10004-10004-10004-10004-10004-10004-10004-1000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000
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χ107111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32
χ10811-1i−i11-1i−i11-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii-1-11−ii−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ111+i321+i32−1−i32−ζ11ζ111+i321+i32−1−i32−ζ11ζ111+i321+i32−1−i32−ζ11ζ111+i321+i32−1−i32−ζ11ζ11−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ71−i321−i32−1+i32−ζ7ζ71−i321−i32−1+i32−ζ7ζ71−i321−i32−1+i32−ζ7ζ71−i321−i32−1+i32−ζ7ζ7
χ10911-1−ii11-1−ii11-1−ii11-1−ii11-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i-1-11i−i−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ111+i321+i32−1−i32ζ11−ζ111+i321+i32−1−i32ζ11−ζ111+i321+i32−1−i32ζ11−ζ111+i321+i32−1−i32ζ11−ζ11−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ71−i321−i32−1+i32ζ7−ζ71−i321−i32−1+i32ζ7−ζ71−i321−i32−1+i32ζ7−ζ71−i321−i32−1+i32ζ7−ζ7
χ1104-10004-10004-10004-10004-10004-1000-41000-41000-41000-41000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i32000−2−2i31+i320002+2i3−1−i320002+2i3−1−i320002+2i3−1−i320002+2i3−1−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i32000−2+2i31−i320002−2i3−1+i320002−2i3−1+i320002−2i3−1+i320002−2i3−1+i32000
χ11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−i32
χ112111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111111-1-1111-1-1-1-1-111-1-1-111−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32
χ11311-1i−i11-1i−i11-1i−i11-1i−i-1-11−ii-1-11−ii11-1i−i11-1i−i-1-11−ii-1-11−ii−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ111+i321+i32−1−i32−ζ11ζ111+i321+i32−1−i32−ζ11ζ11−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ111+i321+i32−1−i32−ζ11ζ111+i321+i32−1−i32−ζ11ζ11−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ71−i321−i32−1+i32−ζ7ζ71−i321−i32−1+i32−ζ7ζ7−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ71−i321−i32−1+i32−ζ7ζ71−i321−i32−1+i32−ζ7ζ7
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χ11611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ117111-1-1111-1-1111-1-1111-1-1-1-1-111-1-1-111-1-1-111-1-1-111111-1-1111-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
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χ13411-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−iiii−i1-1−i−ii-11−i−ii-11ii−i1-1−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ111+i321+i32−1−i32ζ11−ζ111+i321+i32−1−i32ζ11−ζ111+i321+i32−1−i32ζ11−ζ11−1−i32−1−i321+i32−ζ11ζ11ζ11ζ11−ζ11−1−i321+i32−ζ11−ζ11ζ111+i32−1−i32−ζ11−ζ11ζ111+i32−1−i32ζ11ζ11−ζ11−1−i321+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ71−i321−i32−1+i32ζ7−ζ71−i321−i32−1+i32ζ7−ζ71−i321−i32−1+i32ζ7−ζ7−1+i32−1+i321−i32−ζ7ζ7ζ7ζ7−ζ7−1+i321−i32−ζ7−ζ7ζ71−i32−1+i32−ζ7−ζ7ζ71−i32−1+i32ζ7ζ7−ζ7−1+i321−i32
χ1354-10004-1000-41000-41000-410004-10004i−i000−4ii000−4ii0004i−i000−2−2i31+i32000−2−2i31+i320002+2i3−1−i320002+2i3−1−i320002+2i3−1−i32000−2−2i31+i320004ζ11−ζ11000−4ζ11ζ11000−4ζ11ζ110004ζ11−ζ11000−2+2i31−i32000−2+2i31−i320002−2i3−1+i320002−2i3−1+i320002−2i3−1+i32000−2+2i31−i320004ζ7−ζ7000−4ζ7ζ7000−4ζ7ζ70004ζ7−ζ7000
χ1361111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7
χ137111-1-1111-1-1-1-1-111-1-1-111-1-1-111111-1-1−i−i−iiiiii−i−iiii−i−i−i−i−iii−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ13811-1i−i11-1i−i-1-11−ii-1-11−ii-1-11−ii11-1i−i−i−ii1-1ii−i-11ii−i-11−i−ii1-1−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i321+i32ζ11−ζ111+i321+i32−1−i32−ζ11ζ111+i321+i32−1−i32−ζ11ζ111+i321+i32−1−i32−ζ11ζ11−1−i32−1−i321+i32ζ11−ζ11−ζ11−ζ11ζ11−1−i321+i32ζ11ζ11−ζ111+i32−1−i32ζ11ζ11−ζ111+i32−1−i32−ζ11−ζ11ζ11−1−i321+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i321−i32ζ7−ζ71−i321−i32−1+i32−ζ7ζ71−i321−i32−1+i32−ζ7ζ71−i321−i32−1+i32−ζ7ζ7−1+i32−1+i321−i32ζ7−ζ7−ζ7−ζ7ζ7−1+i321−i32ζ7ζ7−ζ71−i32−1+i32ζ7ζ7−ζ71−i32−1+i32−ζ7−ζ7ζ7−1+i321−i32
χ13911-1−ii11-1−ii-1-11i−i-1-11i−i-1-11i−i11-1−ii−i−ii-11ii−i1-1ii−i1-1−i−ii-11−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i321+i32−ζ11ζ111+i321+i32−1−i32ζ11−ζ111+i321+i32−1−i32ζ11−ζ111+i321+i32−1−i32ζ11−ζ11−1−i32−1−i321+i32−ζ11ζ11−ζ11−ζ11ζ111+i32−1−i32ζ11ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−1−i321+i32−ζ11−ζ11ζ111+i32−1−i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i321−i32−ζ7ζ71−i321−i32−1+i32ζ7−ζ71−i321−i32−1+i32ζ7−ζ71−i321−i32−1+i32ζ7−ζ7−1+i32−1+i321−i32−ζ7ζ7−ζ7−ζ7ζ71−i32−1+i32ζ7ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−1+i321−i32−ζ7−ζ7ζ71−i32−1+i32
χ1404-10004-1000-41000-41000-410004-1000−4ii0004i−i0004i−i000−4ii000−2−2i31+i32000−2−2i31+i320002+2i3−1−i320002+2i3−1−i320002+2i3−1−i32000−2−2i31+i32000−4ζ11ζ110004ζ11−ζ110004ζ11−ζ11000−4ζ11ζ11000−2+2i31−i32000−2+2i31−i320002−2i3−1+i320002−2i3−1+i320002−2i3−1+i32000−2+2i31−i32000−4ζ7ζ70004ζ7−ζ70004ζ7−ζ7000−4ζ7ζ7000
χ14122222-2-2-2-2-222222-2-2-2-2-2000000000000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3000000000000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3000000000000000000000000000000
χ142222-2-2-2-2-222222-2-2-2-2-222000000000000000000000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3000000000000000000000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3000000000000000000000000000000
χ14322-22i−2i-2-22−2i2i22-22i−2i-2-22−2i2i000000000000000000000000000000−1−i3−1−i31+i32ζ11−2ζ111+i31+i3−1−i3−2ζ112ζ11−1−i3−1−i31+i32ζ11−2ζ111+i31+i3−1−i3−2ζ112ζ11000000000000000000000000000000−1+i3−1+i31−i32ζ7−2ζ71−i31−i3−1+i3−2ζ72ζ7−1+i3−1+i31−i32ζ7−2ζ71−i31−i3−1+i3−2ζ72ζ7000000000000000000000000000000
χ14422-2−2i2i-2-222i−2i22-2−2i2i-2-222i−2i000000000000000000000000000000−1−i3−1−i31+i3−2ζ112ζ111+i31+i3−1−i32ζ11−2ζ11−1−i3−1−i31+i3−2ζ112ζ111+i31+i3−1−i32ζ11−2ζ11000000000000000000000000000000−1+i3−1+i31−i3−2ζ72ζ71−i31−i3−1+i32ζ7−2ζ7−1+i3−1+i31−i3−2ζ72ζ71−i31−i3−1+i32ζ7−2ζ7000000000000000000000000000000
χ1458-2000-820008-2000-82000000000000000000000000000000000−4−4i31+i30004+4i3−1−i3000−4−4i31+i30004+4i3−1−i3000000000000000000000000000000000−4+4i31−i30004−4i3−1+i3000−4+4i31−i30004−4i3−1+i3000000000000000000000000000000000
χ14622222-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3000000000000000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3000000000000000000000000000000
χ147222-2-2-2-2-222-2-2-222222-2-2000000000000000000000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3000000000000000000000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000000000000000000000000000
χ14822-22i−2i-2-22−2i2i-2-22−2i2i22-22i−2i000000000000000000000000000000−1−i3−1−i31+i32ζ11−2ζ111+i31+i3−1−i3−2ζ112ζ111+i31+i3−1−i3−2ζ112ζ11−1−i3−1−i31+i32ζ11−2ζ11000000000000000000000000000000−1+i3−1+i31−i32ζ7−2ζ71−i31−i3−1+i3−2ζ72ζ71−i31−i3−1+i3−2ζ72ζ7−1+i3−1+i31−i32ζ7−2ζ7000000000000000000000000000000
χ14922-2−2i2i-2-222i−2i-2-222i−2i22-2−2i2i000000000000000000000000000000−1−i3−1−i31+i3−2ζ112ζ111+i31+i3−1−i32ζ11−2ζ111+i31+i3−1−i32ζ11−2ζ11−1−i3−1−i31+i3−2ζ112ζ11000000000000000000000000000000−1+i3−1+i31−i3−2ζ72ζ71−i31−i3−1+i32ζ7−2ζ71−i31−i3−1+i32ζ7−2ζ7−1+i3−1+i31−i3−2ζ72ζ7000000000000000000000000000000
χ1508-2000-82000-820008-2000000000000000000000000000000000−4−4i31+i30004+4i3−1−i30004+4i3−1−i3000−4−4i31+i3000000000000000000000000000000000−4+4i31−i30004−4i3−1+i30004−4i3−1+i3000−4+4i31−i3000000000000000000000000000000000

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