Finite Group Databasebeta

← Group #14416784

Character table — Group #14416784

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888888888121212121212121215151515202020202020202024242424242424242424242424242424303030303030404040404040404060606060
order12223444444556661010101010104444121212121212151520202020202020202020202030303030303060606060606060601212121220202020202020206060606060606060606060606060606060606060606060602244888844442244888810101010202020204040404040404040224444661212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111
χ911111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ1011111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1
χ1111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111
χ1211111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1
χ1311111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1
χ1411111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111
χ1511111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ1611111-1-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111
χ1711-1-11i−ii−i1-111-11-1-1-111-1-11-1i−ii−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−iii−i−i1-1i−ii−i1-111-1-1ii−i−i11-1-1ii−i−i1-11-1i−i1-1i−ii−i1-11-1i−i
χ1811-1-11i−ii−i1-111-11-1-1-111-1-11-1i−ii−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i−i−iii-11−ii−ii-1111-1-1ii−i−i11-1-1ii−i−i-11-11−ii-11−ii−ii-11-11−ii
χ1911-1-11i−ii−i1-111-11-1-1-111-1-11-1i−ii−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−iiii−i−i-11−ii−ii-11-1-111−i−iii-1-111−i−iii1-11-1i−i-11−ii−ii-111-1i−i
χ2011-1-11i−ii−i1-111-11-1-1-111-1-11-1i−ii−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii−i−iii1-1i−ii−i1-1-1-111−i−iii-1-111−i−iii-11-11−ii1-1i−ii−i1-1-11−ii
χ2111-1-11i−ii−i1-111-11-1-1-111-1-1-11−iii−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-1iiii−i−i−i−i-11−ii-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i-11−iiii−i−i1-1i−i−ii-1111-1-1ii−i−i-1-111−i−iii1-11-1i−i1-1i−i−ii-11-11−ii
χ2211-1-11i−ii−i1-111-11-1-1-111-1-1-11−iii−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-1iiii−i−i−i−i-11−ii-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii−i−iii-11−iii−i1-111-1-1ii−i−i-1-111−i−iii-11-11−ii-11−iii−i1-11-1i−i
χ2311-1-11i−ii−i1-111-11-1-1-111-1-1-11−iii−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-1iiii−i−i−i−i-11−ii-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−iii−i−i-11−iii−i1-1-1-111−i−iii11-1-1ii−i−i1-11-1i−i-11−iii−i1-1-11−ii
χ2411-1-11i−ii−i1-111-11-1-1-111-1-1-11−iii−ii−i1-111ii−i−iii−i−i11-1-1-1-111-1-1iiii−i−i−i−i-11−ii-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i−i−iii1-1i−i−ii-11-1-111−i−iii11-1-1ii−i−i-11-11−ii1-1i−i−ii-111-1i−i
χ2511-1-11−ii−ii1-111-11-1-1-111-1-11-1−ii−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−iiii−i−i-11i−ii−i-1111-1-1−i−iii11-1-1−i−iii-11-11i−i-11i−ii−i-11-11i−i
χ2611-1-11−ii−ii1-111-11-1-1-111-1-11-1−ii−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii−i−iii1-1−ii−ii1-111-1-1−i−iii11-1-1−i−iii1-11-1−ii1-1−ii−ii1-11-1−ii
χ2711-1-11−ii−ii1-111-11-1-1-111-1-11-1−ii−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-11i−iii−i−i1-1−ii−ii1-1-1-111ii−i−i-1-111ii−i−i-11-11i−i1-1−ii−ii1-1-11i−i
χ2811-1-11−ii−ii1-111-11-1-1-111-1-11-1−ii−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i−i−iii-11i−ii−i-11-1-111ii−i−i-1-111ii−i−i1-11-1−ii-11i−ii−i-111-1−ii
χ2911-1-11−ii−ii1-111-11-1-1-111-1-1-11i−i−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−iii−i−i-11i−i−ii1-111-1-1−i−iii-1-111ii−i−i-11-11i−i-11i−i−ii1-11-1−ii
χ3011-1-11−ii−ii1-111-11-1-1-111-1-1-11i−i−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i−i−iii1-1−iii−i-1111-1-1−i−iii-1-111ii−i−i1-11-1−ii1-1−iii−i-11-11i−i
χ3111-1-11−ii−ii1-111-11-1-1-111-1-1-11i−i−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i-11i−i1-1−iiii−i−i1-1−iii−i-11-1-111ii−i−i11-1-1−i−iii-11-11i−i1-1−iii−i-111-1−ii
χ3211-1-11−ii−ii1-111-11-1-1-111-1-1-11i−i−ii−ii1-111−i−iii−i−iii11-1-1-1-111-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii−i−iii-11i−i−ii1-1-1-111ii−i−i11-1-1−i−iii1-11-1−ii-11i−i−ii1-1-11i−i
χ3322222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ3422222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-20000000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ3522222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+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+521−521−522222-2-2-2-2000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ3622222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+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+521−521−52-2-2-2-222220000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ3722222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ3822222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-20000000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ3922222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521+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+522222-2-2-2-2000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
χ4022222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521+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+52-2-2-2-222220000000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ412222222-2-2-2-2222222222220000-2-222-2-222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2000000000000-2-2-2-22222000000000000000000000000222200000000000000000000000022-2-2-2-2000000000000
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χ12544-4-4-2−4i4i4i−4i-44−1−5−1+52-221+51−5−1−5−1+51+51−50000−2i2i2i−2i2-21+521−52−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ471+51−5−1−5−1+5−1−52−1+521+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000000−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47000000000000000000000000000000000000000000000000000000
χ12644-4-4-2−4i4i4i−4i-44−1−5−1+52-221+51−5−1−5−1+51+51−50000−2i2i2i−2i2-21+521−52−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ471+51−5−1−5−1+5−1−52−1+521+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000000−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47000000000000000000000000000000000000000000000000000000
χ12744-4-4-2−4i4i4i−4i-44−1+5−1−52-221−51+5−1+5−1−51−51+50000−2i2i2i−2i2-21−521+52−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ591−51+5−1+5−1−5−1+52−1−521−521+52−1+52−1−52ζ7+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−ζ59000000000000−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000000000000000000000000000000000
χ12844-4-4-2−4i4i4i−4i-44−1+5−1−52-221−51+5−1+5−1−51−51+50000−2i2i2i−2i2-21−521+52−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ591−51+5−1+5−1−5−1+52−1−521−521+52−1+52−1−52ζ7+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−ζ59000000000000−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000000000000000000000000000000000000
χ12944-4-4-2−4i4i−4i4i4-4−1−5−1+52-221+51−5−1−5−1+51+51−54-4−4i4i2i−2i2i−2i-221+521−522ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−1−5−1+51+51−5−1−52−1+521+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47-222i−2i−1−5−1+51+51−52ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ471+521+521−521−52−1−52−1−52−1+52−1+52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47000000000000000000000000000000000000000000000000000000
χ13044-4-4-2−4i4i−4i4i4-4−1−5−1+52-221+51−5−1−5−1+51+51−5-444i−4i2i−2i2i−2i-221+521−522ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−1−5−1+51+51−5−1−52−1+521+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ472-2−2i2i1+51−5−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−1−52−1−52−1+52−1+521+521+521−521−52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47000000000000000000000000000000000000000000000000000000
χ13144-4-4-2−4i4i−4i4i4-4−1+5−1−52-221−51+5−1+5−1−51−51+54-4−4i4i2i−2i2i−2i-221−521+522ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−1+5−1−51−51+5−1+52−1−521−521+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+ζ59-222i−2i−1+5−1−51−51+52ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+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+ζ59000000000000000000000000000000000000000000000000000000
χ13244-4-4-2−4i4i−4i4i4-4−1+5−1−52-221−51+5−1+5−1−51−51+5-444i−4i2i−2i2i−2i-221−521+522ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−1+5−1−51−51+5−1+52−1−521−521+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+ζ592-2−2i2i1−51+5−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+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−ζ59000000000000000000000000000000000000000000000000000000
χ1334-44-4400000044-4-44-4-4-4-444000000000044000000000000-4-4-4-44400000000000000000000000000000000000000000000000000004-44-4000000000000000000000000000000000000000000
χ1344-44-4400000044-4-44-4-4-4-444000000000044000000000000-4-4-4-4440000000000000000000000000000000000000000000000000000-44-44000000000000000000000000000000000000000000
χ1354-4-444000000444-4-444-4-4-4-400000000004400000000000044-4-4-4-400000000000000000000000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000
χ1364-4-444000000444-4-444-4-4-4-400000000004400000000000044-4-4-4-40000000000000000000000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000
χ1378-88-88000000−2−25−2+25-8-882+252−252+252−25−2−25−2+250000000000−2−25−2+250000000000002+252−252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-88-88000000−2+25−2−25-8-882−252+252−252+25−2+25−2−250000000000−2+25−2−250000000000002−252+252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-8-40000008844-4-8-8-8-8880000000000-4-40000000000004444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8-4000000−2−25−2+2544-42+252−252+252−25−2−25−2+2500000000001+51−5000000000000−1−5−1+5−1−5−1+51+51−52ζ11+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+2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4000000−2−25−2+2544-42+252−252+252−25−2−25−2+2500000000001+51−5000000000000−1−5−1+5−1−5−1+51+51−5−2ζ11−2ζ19+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+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-8-4000000−2+25−2−2544-42−252+252−252+25−2+25−2−2500000000001−51+5000000000000−1+5−1−5−1+5−1−51−51+5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-8-4000000−2+25−2−2544-42−252+252−252+25−2+25−2−2500000000001−51+5000000000000−1+5−1−5−1+5−1−51−51+52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-888000000−2−25−2+258-8-8−2−25−2+252+252−252+252−250000000000−2−25−2+25000000000000−2−25−2+252+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1458-8-888000000−2+25−2−258-8-8−2+25−2−252−252+252−252+250000000000−2+25−2−25000000000000−2+25−2−252−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-8-88-400000088-44488-8-8-8-80000000000-4-4000000000000-4-4444400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-8-88-4000000−2−25−2+25-444−2−25−2+252+252−252+252−2500000000001+51−50000000000001+51−5−1−5−1+5−1−5−1+52ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-8-88-4000000−2−25−2+25-444−2−25−2+252+252−252+252−2500000000001+51−50000000000001+51−5−1−5−1+5−1−5−1+5−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-88-4000000−2+25−2−25-444−2+25−2−252−252+252−252+2500000000001−51+50000000000001−51+5−1+5−1−5−1+5−1−5−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-88-4000000−2+25−2−25-444−2+25−2−252−252+252−252+2500000000001−51+50000000000001−51+5−1+5−1−5−1+5−1−52ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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