Finite Group Databasebeta

← Group #14430756

Character table — Group #14430756

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111222222222222222222224444444444444444444444444444444444444444488888888888888888888888888888888881010101010101010101010101010202020202020202020202020202020202024242424242424242424242448484848120120120120
order1222344445566610101010101012121212444441212121212121212121212121515202020202020202030303030303060606060606060602020202020202020202060606060606060606060606060606060606060606060606022444412121212121212122244466666612121212121244884040404040404040202020204488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ7111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ8111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-11111-1-11111111111-1-1-1-111-1-1
χ9111111-1-1111111111111-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1111111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1111-11-1
χ10111111-1-1111111111111-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-11-11
χ11111111-1-1111111111111-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-1-1-1-11111111-11-11111-1-1-1-1-1-111-11-11
χ12111111-1-1111111111111-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-1-1-1-1111111-11-11-1-1-1-1111111-1-11-11-1
χ13111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1-1-1-11111-1-1111-1-11
χ14111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-11111-1-1-1-111-1-1-111-1
χ15111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-11-1-11-1-1-1-11111-1-111-111-1
χ16111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-111-1-11-1-11
χ17222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222222222222222222−1−52−1+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+52−1−52−1−52−1+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+5200000000000000000000000000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+520000
χ18222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222222222222222222−1−52−1+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+52−1−52−1−52−1+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+520000000000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521−521+521−520000
χ19222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-22-2-22222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1+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+521−521−521−521−52000000000000000000000000000000022-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+520000
χ20222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222-2-22-2-22222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1+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+521−521−521−521−520000000000000000000000000000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−520000
χ21222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222222222222222222−1+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+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+52−1−52−1−52−1−52−1−5200000000000000000000000000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−520000
χ22222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222222222222222222−1+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+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+52−1−52−1−52−1−52−1−520000000000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521+521−521+520000
χ23222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-22-2-22222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+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+52000000000000000000000000000000022-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−520000
χ24222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222-2-22-2-22222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1−521−521−521+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+520000000000000000000000000000000-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+520000
χ25222222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-222-2-22222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000000000000000000002-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+520000
χ26222222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222-2-2-222-2-22222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000000000000000000000000-22-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−520000
χ27222222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-22222-2-2-2-2-2-22222−1−52−1+52−1−52−1+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+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000000000002-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+520000
χ28222222-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-22222-2-2-2-2-2-22222−1−52−1+52−1−52−1+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+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000000000000-222-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−520000
χ29222222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-222-2-22222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+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+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+5200000000000000000000000000000002-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−520000
χ30222222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222-2-2-222-2-22222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+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+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+520000000000000000000000000000000-22-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+520000
χ31222222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-22222-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+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+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000000000002-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−520000
χ32222222-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-22222-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+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+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000000000000-222-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+520000
χ3322222-222-222222222222222200-200-2-2-2-20000000022-2-22222-2-2222222222222220000-2-20000-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-2-2-2-2-20020022000022000000000000000000000000
χ3422222-222-222222222222222200-200-2-2-2-20000000022-2-22222-2-2222222222222220000-2-20000-2-2-2-2-2-2-2-20000000000000000-2-222222222222200-200-2-20000-2-2000000000000000000000000
χ3522222-2-2-2-222222222222-2-2-2-200200-2-2220000000022-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000220000-2-2-2-22222000000000000000022-2-222-2-2-2-2222200-200220000-2-2000000000000000000000000
χ3622222-2-2-2-222222222222-2-2-2-200200-2-2220000000022-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000220000-2-2-2-222220000000000000000-2-222-2-22222-2-2-2-200200-2-2000022000000000000000000000000
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χ1418-88-8-408i−8i0−2−25−2+254-442+252−252+252−25−2−25−2+25−4i4i−4i4i000000000000000001+51−500−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ118−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ9400−1−5−1+5−1−51+5−1+51−52ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ940000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1438-88-8-40−8i8i0−2−25−2+254-442+252−252+252−25−2−25−2+254i−4i4i−4i000000000000000001+51−5004ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ9400−1−5−1+5−1−51+5−1+51−5−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ940000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1478-8-88-40000−2−25−2+2544-42+252−25−2−25−2+252+252−25−4i34i34i3−4i3000000000000000001+51−5000000001+51−5−1−5−1−5−1+5−1+52ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ922ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ1160000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-8-88-40000−2−25−2+2544-42+252−25−2−25−2+252+252−254i3−4i3−4i34i3000000000000000001+51−5000000001+51−5−1−5−1−5−1+5−1+5−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1160000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-88-40000−2+25−2−2544-42−252+25−2+25−2−252−252+25−4i34i34i3−4i3000000000000000001−51+5000000001−51+5−1+5−1+5−1−5−1−52ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ1162ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ920000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-88-40000−2+25−2−2544-42−252+25−2+25−2−252−252+254i3−4i3−4i34i3000000000000000001−51+5000000001−51+5−1+5−1+5−1−5−1−5−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ920000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.