Finite Group Databasebeta

← Group #14416797

Character table — Group #14416797

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222222222222444444444444444444444444444444444444444444445555888888888888888888888888888888881010101010101010101010101010121212121212121220202020202020202020202020202020242424242424242424242424242424246060606060606060
order122234444445566610101010101012121212888812121212151520202020202020202020202024242424242424243030303030306060606060606060444440404040404040406060606060606060120120120120120120120120120120120120120120120120224444121212121212121222224444668888121224242424242424241010101010101010202020202020202022444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ811111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ911111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1011111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1211111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ1311111-1-1-1-111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1411111-1-1-1-111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1511111-1-1-1-111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1611111-1-1-1-111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ171-11-11i−ii−i1-1111-1-111-1-1-1-111-1-11-1i−iii−i−i11iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1-1-11111-1-1-1-1ii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1iiii−i−i−i−i1-11-1i−ii−i1-1i−i1-11-1ii−i−i11-1-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ181-11-11i−ii−i1-1111-1-111-1-1-1-111-1-11-1i−iii−i−i11iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1-1-11111-1-1-1-1ii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1iiii−i−i−i−i-11-11−ii−ii1-1i−i1-11-1ii−i−i11-1-1-1-111-1-111−i−iii−i−iii-11-11−ii−ii
χ191-11-11i−ii−i1-1111-1-111-1-1-1-111-1-11-1i−iii−i−i11iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1-1-11111-1-1-1-1−i−iii11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−i−i−i−iiiii1-11-1i−ii−i-11−ii-11-11−i−iii-1-11111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ201-11-11i−ii−i1-1111-1-111-1-1-1-111-1-11-1i−iii−i−i11iiii−i−i−i−i11-1-111-1-1ii−i−i11-1-1-1-11111-1-1-1-1−i−iii11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−i−i−i−iiiii-11-11−ii−ii-11−ii-11-11−i−iii-1-111-1-111-1-111−i−iii−i−iii1-11-1i−ii−i
χ211-11-11i−ii−i1-1111-1-111-1-1-1-111-1-1-11−iiii−i−i11iiii−i−i−i−i11-1-1-1-111−i−iii11-1-1-1-11111-1-1-1-1ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i1-1iiii−i−i−i−i1-1-11i−i−ii1-1−ii-111-1−i−iii-1-11111-1-1-1-111ii−i−i−i−iii-111-1i−i−ii
χ221-11-11i−ii−i1-1111-1-111-1-1-1-111-1-1-11−iiii−i−i11iiii−i−i−i−i11-1-1-1-111−i−iii11-1-1-1-11111-1-1-1-1ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i1-1iiii−i−i−i−i-111-1−iii−i1-1−ii-111-1−i−iii-1-111-1-11111-1-1−i−iiiii−i−i1-1-11−iii−i
χ231-11-11i−ii−i1-1111-1-111-1-1-1-111-1-1-11−iiii−i−i11iiii−i−i−i−i11-1-1-1-111−i−iii11-1-1-1-11111-1-1-1-1−i−iii-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11−ii-11−i−i−i−iiiii1-1-11i−i−ii-11i−i1-1-11ii−i−i11-1-111-1-1-1-111ii−i−i−i−iii1-1-11−iii−i
χ241-11-11i−ii−i1-1111-1-111-1-1-1-111-1-1-11−iiii−i−i11iiii−i−i−i−i11-1-1-1-111−i−iii11-1-1-1-11111-1-1-1-1−i−iii-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11−ii-11−i−i−i−iiiii-111-1−iii−i-11i−i1-1-11ii−i−i11-1-1-1-11111-1-1−i−iiiii−i−i-111-1i−i−ii
χ251-11-11−ii−ii1-1111-1-111-1-1-1-111-1-11-1−ii−i−iii11−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1-1-11111-1-1-1-1ii−i−i11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11i−i-11iiii−i−i−i−i1-11-1−ii−ii-11i−i-11-11ii−i−i-1-11111-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ261-11-11−ii−ii1-1111-1-111-1-1-1-111-1-11-1−ii−i−iii11−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1-1-11111-1-1-1-1ii−i−i11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11i−i-11iiii−i−i−i−i-11-11i−ii−i-11i−i-11-11ii−i−i-1-111-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii
χ271-11-11−ii−ii1-1111-1-111-1-1-1-111-1-11-1−ii−i−iii11−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1-1-11111-1-1-1-1−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−i−i−i−iiiii1-11-1−ii−ii1-1−ii1-11-1−i−iii11-1-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ281-11-11−ii−ii1-1111-1-111-1-1-1-111-1-11-1−ii−i−iii11−i−i−i−iiiii11-1-111-1-1−i−iii11-1-1-1-11111-1-1-1-1−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−i−i−i−iiiii-11-11i−ii−i1-1−ii1-11-1−i−iii11-1-1-1-111-1-111ii−i−iii−i−i-11-11i−ii−i
χ291-11-11−ii−ii1-1111-1-111-1-1-1-111-1-1-11i−i−i−iii11−i−i−i−iiiii11-1-1-1-111ii−i−i11-1-1-1-11111-1-1-1-1ii−i−i-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11i−i-11iiii−i−i−i−i1-1-11−iii−i-11−ii1-1-11−i−iii11-1-111-1-1-1-111−i−iiiii−i−i1-1-11i−i−ii
χ301-11-11−ii−ii1-1111-1-111-1-1-1-111-1-1-11i−i−i−iii11−i−i−i−iiiii11-1-1-1-111ii−i−i11-1-1-1-11111-1-1-1-1ii−i−i-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11i−i-11iiii−i−i−i−i-111-1i−i−ii-11−ii1-1-11−i−iii11-1-1-1-11111-1-1ii−i−i−i−iii-111-1−iii−i
χ311-11-11−ii−ii1-1111-1-111-1-1-1-111-1-1-11i−i−i−iii11−i−i−i−iiiii11-1-1-1-111ii−i−i11-1-1-1-11111-1-1-1-1−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1−ii1-1−i−i−i−iiiii1-1-11−iii−i1-1i−i-111-1ii−i−i-1-11111-1-1-1-111−i−iiiii−i−i-111-1−iii−i
χ321-11-11−ii−ii1-1111-1-111-1-1-1-111-1-1-11i−i−i−iii11−i−i−i−iiiii11-1-1-1-111ii−i−i11-1-1-1-11111-1-1-1-1−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1−ii1-1−i−i−i−iiiii-111-1i−i−ii1-1i−i-111-1ii−i−i-1-111-1-11111-1-1ii−i−i−i−iii1-1-11i−i−ii
χ3322222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000222222220000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ3422222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000-2-2-2-2-2-2-2-200000000000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000
χ3522222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000022-2-222-2-20000000000000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ3622222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000-2-222-2-22200000000000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000
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χ1494-44-4-2−4i4i−4i4i4-4−1+5−1−5-222−1+5−1−51−51−51+51+5-2-2224-4−4i4i2i2i−2i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+5−1−51−51+5-2-2222i2i−2i−2i1−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−1+5−1−51−51+52ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ591−521−521+521+52−1+52−1+52−1−52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000000000000000000000000000000000000000000000
χ1504-44-4-2−4i4i−4i4i4-4−1+5−1−5-222−1+5−1−51−51−51+51+5-2-222-444i−4i2i2i−2i−2i1−521+522ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−1+5−1−51−51+522-2-2−2i−2i2i2i1−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−51+5−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1−52−1−521−521−521+521+52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000000000000000000000000000000000000000000000
χ1514-4-44400000044-4-44-4-4-44-440000000000004400000000000000000000-4-4-44-44000000004-4-44000000000000000000000000000000000000004-400-4400000000000000000000000000000000000000000000000000
χ1524-4-44400000044-4-44-4-4-44-440000000000004400000000000000000000-4-4-44-4400000000-444-400000000000000000000000000000000000000-44004-400000000000000000000000000000000000000000000000000
χ1534-4-44-20000004422-2-4-4-44-4423−23−232300000000-2-200000000000000000000222-22-223−2323−23−2323−23234-4-4400000000000000000000000000000000000000-22−23232-223−23000000000000000000000000000000000000000000000000
χ1544-4-44-20000004422-2-4-4-44-4423−23−232300000000-2-200000000000000000000222-22-223−2323−23−2323−2323-444-4000000000000000000000000000000000000002-223−23-22−2323000000000000000000000000000000000000000000000000
χ1554-4-44-20000004422-2-4-4-44-44−232323−2300000000-2-200000000000000000000222-22-2−2323−232323−2323−234-4-4400000000000000000000000000000000000000-2223−232-2−2323000000000000000000000000000000000000000000000000
χ1564-4-44-20000004422-2-4-4-44-44−232323−2300000000-2-200000000000000000000222-22-2−2323−232323−2323−23-444-4000000000000000000000000000000000000002-2−2323-2223−23000000000000000000000000000000000000000000000000
χ15788-8-88000000−2−25−2+25-88-82+252−25−2−252+25−2+252−25000000000000−2−25−2+25000000000000000000002+252−25−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15888-8-88000000−2+25−2−25-88-82−252+25−2+252−25−2−252+25000000000000−2+25−2−25000000000000000000002−252+25−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15988-8-8-4000000−2−25−2+254-442+252−25−2−252+25−2+252−2543−4343−43000000001+51−500000000000000000000−1−5−1+51+5−1−51−5−1+5−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16088-8-8-4000000−2−25−2+254-442+252−25−2−252+25−2+252−25−4343−4343000000001+51−500000000000000000000−1−5−1+51+5−1−51−5−1+52ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16188-8-8-4000000−2+25−2−254-442−252+25−2+252−25−2−252+2543−4343−43000000001−51+500000000000000000000−1+5−1−51−5−1+51+5−1−52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16288-8-8-4000000−2+25−2−254-442−252+25−2+252−25−2−252+25−4343−4343000000001−51+500000000000000000000−1+5−1−51−5−1+51+5−1−5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1638-8-888000000−2−25−2+25-8-882+252−252+25−2−252−25−2+25000000000000−2−25−2+25000000000000000000002+252−252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1648-8-888000000−2+25−2−25-8-882−252+252−25−2+252+25−2−25000000000000−2+25−2−25000000000000000000002−252+252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1658-8-88-4000000−2−25−2+2544-42+252−252+25−2−252−25−2+2543−43−4343000000001+51−500000000000000000000−1−5−1+5−1−51+5−1+51−5−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1668-8-88-4000000−2−25−2+2544-42+252−252+25−2−252−25−2+25−434343−43000000001+51−500000000000000000000−1−5−1+5−1−51+5−1+51−52ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1678-8-88-4000000−2+25−2−2544-42−252+252−25−2+252+25−2−2543−43−4343000000001−51+500000000000000000000−1+5−1−5−1+51−5−1−51+52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-8-88-4000000−2+25−2−2544-42−252+252−25−2+252+25−2−25−434343−43000000001−51+500000000000000000000−1+5−1−5−1+51−5−1−51+5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.