Finite Group Databasebeta

← Group #14323313

Character table — Group #14323313

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888888888888888812121212121212121212121212121212121212121212121220202020202020202020202020202020242424242424242430303030303030304040404060606060
order122222223444455666666610101010101010101010101010104444121212121515202020202020202030303030303030303030303030301212121220202020202020206060606060606060606060606060606060606060606060604444444420202020202020202020202020202020444444441212121212121212202020202020202044444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ9111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ11111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ12111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ14111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1711-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1i−ii−i11-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1i−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-11111-1-1-1-11111-1-1-1-1i−ii−i1-11-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1i−ii−ii−ii−i
χ1811-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1i−ii−i11-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1i−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-11111-1-1-1-11111-1-1-1-1−ii−ii-11-11-1-111-1-111ii−i−iii−i−i-1-111-1-111−ii−ii−ii−ii
χ1911-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1i−ii−i11-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1i−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-11-1-1-1-11111-1-1-1-11111i−ii−i1-11-111-1-111-1-1−i−iii−i−iii-1-111-1-111i−ii−i−ii−ii
χ2011-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1i−ii−i11-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1i−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-11-1-1-1-11111-1-1-1-11111−ii−ii-11-11-1-111-1-111−i−iii−i−iii11-1-111-1-1−ii−iii−ii−i
χ2111-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1−ii−ii11-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-11-1-1-1-11111-1-1-1-11111i−ii−i-11-11-1-111-1-111ii−i−iii−i−i11-1-111-1-1i−ii−i−ii−ii
χ2211-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1−ii−ii11-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-11-1-1-1-11111-1-1-1-11111−ii−ii1-11-111-1-111-1-1ii−i−iii−i−i-1-111-1-111−ii−iii−ii−i
χ2311-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1−ii−ii11-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-11111-1-1-1-11111-1-1-1-1i−ii−i-11-11-1-111-1-111−i−iii−i−iii-1-111-1-111i−ii−ii−ii−i
χ2411-1-1-1-111111-1-111-1-1111-1-1-1-1-1-1111111-1-1-1-1−ii−ii11-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-11111-1-1-1-11111-1-1-1-1−ii−ii1-11-111-1-111-1-1−i−iii−i−iii11-1-111-1-1−ii−ii−ii−ii
χ2511-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1111111-1-1-1-1i−i−ii-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1i−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-111111-1-1-1-1-1-1-1-11111i−i−ii1-1-1111-1-1-1-111ii−i−i−i−iii11-1-1-1-111i−i−iii−i−ii
χ2611-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1111111-1-1-1-1i−i−ii-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1i−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-111111-1-1-1-1-1-1-1-11111−iii−i-111-1-1-11111-1-1ii−i−i−i−iii-1-11111-1-1−iii−i−iii−i
χ2711-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1111111-1-1-1-1i−i−ii-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1i−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1-1-1-1-111111111-1-1-1-1i−i−ii1-1-1111-1-1-1-111−i−iiiii−i−i-1-11111-1-1i−i−ii−iii−i
χ2811-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1111111-1-1-1-1i−i−ii-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1i−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1-1-1-1-111111111-1-1-1-1−iii−i-111-1-1-11111-1-1−i−iiiii−i−i11-1-1-1-111−iii−ii−i−ii
χ2911-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1111111-1-1-1-1−iii−i-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1-1-1-1-111111111-1-1-1-1i−i−ii-111-1-1-11111-1-1ii−i−i−i−iii11-1-1-1-111i−i−ii−iii−i
χ3011-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1111111-1-1-1-1−iii−i-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1-1-1-1-111111111-1-1-1-1−iii−i1-1-1111-1-1-1-111ii−i−i−i−iii-1-11111-1-1−iii−ii−i−ii
χ3111-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1111111-1-1-1-1−iii−i-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-111111-1-1-1-1-1-1-1-11111i−i−ii-111-1-1-11111-1-1−i−iiiii−i−i-1-11111-1-1i−i−iii−i−ii
χ3211-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1111111-1-1-1-1−iii−i-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-111111-1-1-1-1-1-1-1-11111−iii−i1-1-1111-1-1-1-111−i−iiiii−i−i11-1-1-1-111−iii−i−iii−i
χ332222222222222−1−52−1+522222222−1−52−1−52−1+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+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+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ342222222222222−1−52−1+522222222−1−52−1−52−1+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+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+52-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000001+521−521+521−521+521−521+521−520000000000000000
χ352222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−522222-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ362222222222222−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521−52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000001+521−521+521−521+521−521+521−520000000000000000
χ372222222222222−1+52−1−522222222−1+52−1+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+52−1−52−1−52−1+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+52−1−52−1−5222222222−1+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+52−1−52−1−520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ382222222222222−1+52−1−522222222−1+52−1+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+52−1−52−1−52−1+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+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000001−521+521−521+521−521+521−521+520000000000000000
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χ1454-4-44-444-4-24i−4i−4i4i−1−5−1+52-22-222-21+5−1−51−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+50000−2i2i2i−2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+52−1−521−52−1+52−1−521+52−1+521−52−1−52−1+52−1−521+52−1+521−52000000000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11+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+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+ζ580000000000000000000000000000000000000000000000000000000000000000
χ1464-4-44-444-4-24i−4i−4i4i−1−5−1+52-22-222-21+5−1−51−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+50000−2i2i2i−2i1+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+52−1−521−52−1+52−1−521+52−1+521−52−1−52−1+52−1−521+52−1+521−52000000000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−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+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+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−ζ580000000000000000000000000000000000000000000000000000000000000000
χ1474-4-44-444-4-24i−4i−4i4i−1+5−1−52-22-222-21−5−1+51+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−50000−2i2i2i−2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−52−1+521+52−1−52−1+521−52−1−521+52−1+52−1−52−1+521−52−1−521+52000000000000ζ7+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+ζ59−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+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+ζ460000000000000000000000000000000000000000000000000000000000000000
χ1484-4-44-444-4-24i−4i−4i4i−1+5−1−52-22-222-21−5−1+51+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−50000−2i2i2i−2i1−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−52−1+521+52−1−52−1+521−52−1−521+52−1+52−1−52−1+521−52−1−521+52000000000000ζ7+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+ζ59ζ7+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−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−ζ460000000000000000000000000000000000000000000000000000000000000000
χ1494-4-44-444-4-2−4i4i4i−4i442-22-222-2-44-44-4-44-44-4-44-4400002i−2i−2i2i-2-2−4i4i−4i4i4i−4i4i−4i-22-222-22-2222-22-20000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1504-4-44-444-4-2−4i4i4i−4i−1−5−1+52-22-222-21+5−1−51−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+500002i−2i−2i2i1+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+52−1−521−52−1+52−1−521+52−1+521−52−1−52−1+52−1−521+52−1+521−52000000000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+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−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−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−ζ580000000000000000000000000000000000000000000000000000000000000000
χ1514-4-44-444-4-2−4i4i4i−4i−1−5−1+52-22-222-21+5−1−51−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+500002i−2i−2i2i1+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+52−1−521−52−1+52−1−521+52−1+521−52−1−52−1+52−1−521+52−1+521−52000000000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−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−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+ζ580000000000000000000000000000000000000000000000000000000000000000
χ1524-4-44-444-4-2−4i4i4i−4i−1+5−1−52-22-222-21−5−1+51+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−500002i−2i−2i2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−52−1+521+52−1−52−1+521−52−1−521+52−1+52−1−52−1+521−52−1−521+52000000000000−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−ζ59−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+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−ζ460000000000000000000000000000000000000000000000000000000000000000
χ1534-4-44-444-4-2−4i4i4i−4i−1+5−1−52-22-222-21−5−1+51+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−500002i−2i−2i2i1−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−52−1+521+52−1−52−1+521−52−1−521+52−1+52−1−52−1+521−52−1−521+52000000000000−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−ζ59ζ7+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−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+ζ460000000000000000000000000000000000000000000000000000000000000000
χ1544-4-4-444-44400004444-4-44-4-44444-4-4-44-44-4-4-4-4000000004400000000-44-444444-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1554-4-4-444-4440000−1−5−1+544-4-44-4-4−1−5−1−5−1+5−1+51+51−51+5−1−51−5−1+51+51+51−51−500000000−1−5−1+5000000001+5−1−51−5−1+5−1−5−1−5−1+5−1+51+51−51+51+51−51−500000000000000000000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58000000000000000000000000000000000000000000000000
χ1564-4-4-444-4440000−1−5−1+544-4-44-4-4−1−5−1−5−1+5−1+51+51−51+5−1−51−5−1+51+51+51−51−500000000−1−5−1+5000000001+5−1−51−5−1+5−1−5−1−5−1+5−1+51+51−51+51+51−51−5000000000000000000000000000000000000000000002ζ14−2ζ26+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+2ζ58000000000000000000000000000000000000000000000000
χ1574-4-4-444-4440000−1+5−1−544-4-44-4-4−1+5−1+5−1−5−1−51−51+51−5−1+51+5−1−51−51−51+51+500000000−1+5−1−5000000001−5−1+51+5−1−5−1+5−1+5−1−5−1−51−51+51−51−51+51+5000000000000000000000000000000000000000000002ζ2+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+2ζ34−2ζ46000000000000000000000000000000000000000000000000
χ1584-4-4-444-4440000−1+5−1−544-4-44-4-4−1+5−1+5−1−5−1−51−51+51−5−1+51+5−1−51−51−51+51+500000000−1+5−1−5000000001−5−1+51+5−1−5−1+5−1+5−1−5−1−51−51+51−51−51+51+500000000000000000000000000000000000000000000−2ζ2−2ζ22+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+2ζ46000000000000000000000000000000000000000000000000
χ1594-4-4-444-44-2000044-2-222-2224444-4-4-44-44-4-4-4-400000000-2-2000000002-22-2-2-2-2-222222200000000000000000000000000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ1604-4-4-444-44-2000044-2-222-2224444-4-4-44-44-4-4-4-400000000-2-2000000002-22-2-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ161888-8-88-8-8-40000−2−25−2+254-4-444-442+25−2−252−25−2+25−2−25−2+252+252+252−252−25−2−252+25−2+252−25000000001+51−500000000−1−5−1−5−1+5−1+5−1−51+5−1+51−51+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ162888-8-88-8-8-40000−2+25−2−254-4-444-442−25−2+252+25−2−25−2+25−2−252−252−252+252+25−2+252−25−2−252+25000000001−51+500000000−1+5−1+5−1−5−1−5−1+51−5−1−51+51−51+51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16388-888-8-8-8-40000−2−25−2+25-44-4444-4−2−252+25−2+252−25−2−25−2+252+252+252−252−252+25−2−252−25−2+25000000001+51−500000000−1−5−1−5−1+5−1+51+5−1−51−5−1+51+51−5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16488-888-8-8-8-40000−2+25−2−25-44-4444-4−2+252−25−2−252+25−2+25−2−252−252−252+252+252−25−2+252+25−2−25000000001−51+500000000−1+5−1+5−1−5−1−51−5−1+51+5−1−51−51+5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1658-888-8-8-88-40000−2−25−2+254444-4-4-42+252+252−252−252+252−252+25−2−252−25−2+25−2−25−2−25−2+25−2+25000000001+51−500000000−1−51+5−1+51−5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1668-888-8-8-88-40000−2+25−2−254444-4-4-42−252−252+252+252−252+252−25−2+252+25−2−25−2+25−2+25−2−25−2−25000000001−51+500000000−1+51−5−1−51+5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1678-8-8-888-88-40000−2−25−2+25-4-444-444−2−25−2−25−2+25−2+252+252−252+25−2−252−25−2+252+252+252−252−25000000001+51−500000000−1−51+5−1+51−51+51+51−51−5−1−5−1+5−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-8-8-888-88-40000−2+25−2−25-4-444-444−2+25−2+25−2−25−2−252−252+252−25−2+252+25−2−252−252−252+252+25000000001−51+500000000−1+51−5−1−51+51−51−51+51+5−1+5−1−5−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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