Finite Group Databasebeta

← Group #14412160

Character table — Group #14412160

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195
size11222222222222222222222222222222222224444444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888888888888888888888888888888888888888883030303030303030606060606060606060606060
order122223444455610101212151515152020202030303030606060606060606022446668888888810101010101012121220202020202030303030303030303030303060606060606060606060606066101010101212202020202424242424242424303030303030303040404040404040404040404040404040606060606060606012012012012012012012012012012012012012012012012012012012012012012012012012012012012012012012012022224444222288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1111ii−i−iii−i−i111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-111-1-1ii−i−iii−i−i
χ10111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1111ii−i−iii−i−i111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-111−i−iii−i−iii
χ11111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1111−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-111-1-1−i−iii−i−iii
χ12111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1111−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-111ii−i−iii−i−i
χ13111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-111ii−i−i−i−iii
χ14111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-11111-1-1−i−iiiii−i−i
χ15111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-111−i−iiiii−i−i
χ16111111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-11111-1-1ii−i−i−i−iii
χ17111-1-1111-1-11111111111111111111111111111-1-111-1-1i−ii−ii−ii−i11-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-11-1-111i−ii−ii−ii−i1111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-1i−ii−ii−ii−i
χ18111-1-1111-1-11111111111111111111111111111-1-111-1-1i−ii−ii−ii−i11-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-11-1-111i−ii−ii−ii−i1111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-11-11−ii−ii−ii−ii
χ19111-1-1111-1-11111111111111111111111111111-1-111-1-1−ii−ii−ii−ii11-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-11-1-111−ii−ii−ii−ii1111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-11-1−ii−ii−ii−ii
χ20111-1-1111-1-11111111111111111111111111111-1-111-1-1−ii−ii−ii−ii11-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-11-1-111−ii−ii−ii−ii1111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-11-11i−ii−ii−ii−i
χ21111-1-1111-1-1111111111111111111111111111-111-11-1-1i−ii−i−ii−ii11-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-111-1-1i−ii−i−ii−ii-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-11i−ii−i−ii−ii
χ22111-1-1111-1-1111111111111111111111111111-111-11-1-1i−ii−i−ii−ii11-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-111-1-1i−ii−i−ii−ii-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111-11-1−ii−iii−ii−i
χ23111-1-1111-1-1111111111111111111111111111-111-11-1-1−ii−iii−ii−i11-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-111-1-1−ii−iii−ii−i-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11−ii−iii−ii−i
χ24111-1-1111-1-1111111111111111111111111111-111-11-1-1−ii−iii−ii−i11-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111-111-1-1−ii−iii−ii−i-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111-11-1i−ii−i−ii−ii
χ25111-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-11-1-111-1-1111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-111-1-11
χ26111-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-11-1-111-1-1111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-111-1-111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-1-111-1
χ27111-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-111-111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111-1-111-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-11-111-1-111-1
χ28111-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-111-111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111-1-111-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-111-11-1-111-1-11
χ29111-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11-1-11-111-111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-11-1-11-111-1
χ30111-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-11-1-11-111-111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11-111-11-1-11
χ31111-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-111-11-1-1111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-111-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-111-11-1-11
χ32111-1-11-1-11111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-111-11-1-1111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-111-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-1-11-111-1
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χ45222222-2-2-2-2−1+52−1−522−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-22222i2i−2i−2i2i2i−2i−2i−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+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+522-2−1+52−1−521−521+522-2−1+52−1−521−521+522i2i−2i−2i2i2i−2i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1+52−1−52−1−521−521−521+521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−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+ζ59ζ7+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−ζ59−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+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000
χ46222222-2-2-2-2−1+52−1−522−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-2222−2i−2i2i2i−2i−2i2i2i−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+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+522-2−1+52−1−521−521+522-2−1+52−1−521−521+52−2i−2i2i2i−2i−2i2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−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+ζ59ζ7+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−ζ59−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+ζ59ζ7+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−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000
χ47222222-2-2-2-2−1+52−1−522−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-222222i2i−2i−2i−2i−2i2i2i−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+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+52-221−521+52−1+52−1−52-221−521+52−1+52−1−522i2i−2i−2i−2i−2i2i2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−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−ζ59−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+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+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−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000
χ48222222-2-2-2-2−1+52−1−522−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-22222−2i−2i2i2i2i2i−2i−2i−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+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+52-221−521+52−1+52−1−52-221−521+52−1+52−1−52−2i−2i2i2i2i2i−2i−2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ591−521−521+521+52−1+52−1+52−1−52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+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−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−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+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000
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χ5022222-1222222-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-2-2-2-2-2-2-2-2222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1222211111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111111111111111111100000000000000000000
χ5122222-1222222-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-12222-2-2-2-2222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-211-2-2-2-2-1-1-1-111111111111122222222-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000
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χ1908-8000-40000−2−25−2+2542+252−25−4343−4ζ26−4ζ34−4ζ14−4ζ46−4ζ22−4ζ38−4ζ2−4ζ58−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ26+4ζ344ζ14+4ζ464ζ22+4ζ384ζ2+4ζ584ζ11−4ζ19−4ζ11+4ζ194ζ31−4ζ59−4ζ31+4ζ59−4ζ7+4ζ234ζ7−4ζ234ζ43−4ζ47−4ζ43+4ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1918-8000-40000−2−25−2+2542+252−25−4343−4ζ14−4ζ46−4ζ26−4ζ34−4ζ2−4ζ58−4ζ22−4ζ384ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ59−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ474ζ14+4ζ464ζ26+4ζ344ζ2+4ζ584ζ22+4ζ38−4ζ31+4ζ594ζ31−4ζ59−4ζ11+4ζ194ζ11−4ζ19−4ζ43+4ζ474ζ43−4ζ474ζ7−4ζ23−4ζ7+4ζ2300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1928-8000-40000−2+25−2−2542−252+2543−43−4ζ22−4ζ38−4ζ2−4ζ58−4ζ14−4ζ46−4ζ26−4ζ34−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ22+4ζ384ζ2+4ζ584ζ14+4ζ464ζ26+4ζ344ζ7−4ζ23−4ζ7+4ζ23−4ζ43+4ζ474ζ43−4ζ474ζ31−4ζ59−4ζ31+4ζ594ζ11−4ζ19−4ζ11+4ζ1900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1938-8000-40000−2+25−2−2542−252+2543−43−4ζ2−4ζ58−4ζ22−4ζ38−4ζ26−4ζ34−4ζ14−4ζ464ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ594ζ2+4ζ584ζ22+4ζ384ζ26+4ζ344ζ14+4ζ464ζ43−4ζ47−4ζ43+4ζ47−4ζ7+4ζ234ζ7−4ζ23−4ζ11+4ζ194ζ11−4ζ19−4ζ31+4ζ594ζ31−4ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1948-8000-40000−2+25−2−2542−252+25−4343−4ζ22−4ζ38−4ζ2−4ζ58−4ζ14−4ζ46−4ζ26−4ζ344ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ594ζ22+4ζ384ζ2+4ζ584ζ14+4ζ464ζ26+4ζ34−4ζ7+4ζ234ζ7−4ζ234ζ43−4ζ47−4ζ43+4ζ47−4ζ31+4ζ594ζ31−4ζ59−4ζ11+4ζ194ζ11−4ζ1900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1958-8000-40000−2+25−2−2542−252+25−4343−4ζ2−4ζ58−4ζ22−4ζ38−4ζ26−4ζ34−4ζ14−4ζ46−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ2+4ζ584ζ22+4ζ384ζ26+4ζ344ζ14+4ζ46−4ζ43+4ζ474ζ43−4ζ474ζ7−4ζ23−4ζ7+4ζ234ζ11−4ζ19−4ζ11+4ζ194ζ31−4ζ59−4ζ31+4ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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