Finite Group Databasebeta

← Group #14295670

Character table — Group #14295670

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888888888888888812121212121212121212121212121212121212121212121220202020202020202020202020202020242424242424242430303030303030304040404060606060
order122244442234455666101010101010121212122020202020202020224466101010101212151520202020303030303030606060606060606066101010101212202020203030303030303030303030306060606060606060606060604444888820202020202020202020202020202020444488881212121212121212404040404040404044444444242424244444
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
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ91111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1
χ101111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii-1-111
χ111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111
χ121111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1
χ131111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111
χ141111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1
χ151111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii11-1-1
χ161111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111
χ1711-1-111-1-11-111-111-1-11-1-1-1-11111-1-1-1-1-1-111111-11-11-1-1-1111-11111-1-1-1-1-1-1111111-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-11-11-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i
χ1811-1-111-1-11-111-111-1-11-1-1-1-11111-1-1-1-1-1-111111-11-11-1-1-1111-11111-1-1-1-1-1-1111111-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-11-11-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii
χ1911-1-111-1-11-111-111-1-11-1-1-1-11111-1-1-1-1-1-111111-11-11-1-1-1111-11111-1-1-1-1-1-1111111-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11-11-11-1-1-1-11111-1-1-1-11111i−ii−ii−ii−iii−i−iii−i−i-1-111-1-111−i−iii−i−iiii−ii−i−ii−ii
χ2011-1-111-1-11-111-111-1-11-1-1-1-11111-1-1-1-1-1-111111-11-11-1-1-1111-11111-1-1-1-1-1-1111111-1-1-1-11-111-1-11-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-11-11-11-1-1-1-11111-1-1-1-11111−ii−ii−ii−ii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i−ii−iii−ii−i
χ2111-1-111-1-11-111-111-1-11-1-1-1-11111-1-1-1-1-1-11111-11-111-1-1-1111-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1-11-111111-1-1-1-11111-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i−ii−ii−ii−ii
χ2211-1-111-1-11-111-111-1-11-1-1-1-11111-1-1-1-1-1-11111-11-111-1-1-1111-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1-11-111111-1-1-1-11111-1-1-1-1−ii−iii−ii−i−i−iii−i−iii-1-111-1-111−i−iii−i−iiii−ii−ii−ii−i
χ2311-1-111-1-11-111-111-1-11-1-1-1-11111-1-1-1-1-1-11111-11-111-1-1-1111-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-111-11-1-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i11-1-111-1-1−i−iii−i−iii−ii−iii−ii−i
χ2411-1-111-1-11-111-111-1-11-1-1-1-11111-1-1-1-1-1-11111-11-111-1-1-1111-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-111-11-1-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iii11-1-111-1-1ii−i−iii−i−ii−ii−i−ii−ii
χ2511-1-1-1-111-1111-111-1-11-1-1-1-111-1-1111111-1-1-1-11-1-11-1111-1-11-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111i−i−iii−i−iiiiii−i−i−i−i−i−i−i−iiiii1-1-111-1-1111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i1-1-11−iii−i
χ2611-1-1-1-111-1111-111-1-11-1-1-1-111-1-1111111-1-1-1-11-1-11-1111-1-11-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111i−i−iii−i−iiiiii−i−i−i−i−i−i−i−iiiii-111-1-111-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1i−i−ii
χ2711-1-1-1-111-1111-111-1-11-1-1-1-111-1-1111111-1-1-1-11-1-11-1111-1-11-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111−iii−i−iii−i−i−i−i−iiiiiiiii−i−i−i−i1-1-111-1-1111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii1-1-11i−i−ii
χ2811-1-1-1-111-1111-111-1-11-1-1-1-111-1-1111111-1-1-1-11-1-11-1111-1-11-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-11-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111−iii−i−iii−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-111-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1−iii−i
χ2911-1-1-1-111-1111-111-1-11-1-1-1-111-1-1111111-1-1-1-1-111-1-1111-1-11-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1i−i−ii−iii−iiiii−i−i−i−i−i−i−i−iiiii1-1-11-111-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-111-1i−i−ii
χ3011-1-1-1-111-1111-111-1-11-1-1-1-111-1-1111111-1-1-1-1-111-1-1111-1-11-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1i−i−ii−iii−iiiii−i−i−i−i−i−i−i−iiiii-111-11-1-11-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-11−iii−i
χ3111-1-1-1-111-1111-111-1-11-1-1-1-111-1-1111111-1-1-1-1-111-1-1111-1-11-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1−iii−ii−i−ii−i−i−i−iiiiiiiii−i−i−i−i1-1-11-111-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-111-1−iii−i
χ3211-1-1-1-111-1111-111-1-11-1-1-1-111-1-1111111-1-1-1-1-111-1-1111-1-11-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1−iii−ii−i−ii−i−i−i−iiiiiiiii−i−i−i−i-111-11-1-11-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11i−i−ii
χ332222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+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+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−52-2-21+521−521+521−52−1−52−1+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+521−521−522222-2-2-2-2−1−52−1−52−1+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+5200000000000000001+521−521+521−521+521−521+521−520000000000000000
χ362222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521−52-2-21+521−521+521−52−1−52−1+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+521−521−52-2-2-2-222221+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
χ372222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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
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χ1604-4-44−4i4i4i−4i00-200442-22-44-44-4-42i−2i−2i2i4i−4i4i−4i−4i4i−4i4i000000000000-2-200002-22-2222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7+ζ11−ζ14−ζ19+ζ22+ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46+ζ47+ζ58+ζ59ζ2+ζ7−ζ11+ζ14+ζ19−ζ22−ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46−ζ47−ζ58−ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ11+ζ14−ζ19−ζ22+ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46+ζ47−ζ58+ζ59−ζ2+ζ7−ζ11−ζ14+ζ19+ζ22−ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46−ζ47+ζ58−ζ59000000000000000000000000
χ1618-88-88i−8i8i−8i00-400−2−25−2+25-444−2−252+25−2+252−252+252−25−4i4i−4i4i−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ470000000000001+51−500001+5−1−51−5−1+5−1−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-88-88i−8i8i−8i00-400−2+25−2−25-444−2+252−25−2−252+252−252+25−4i4i−4i4i−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ590000000000001−51+500001−5−1+51+5−1−5−1+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1638-88-8−8i8i−8i8i00-400−2−25−2+25-444−2−252+25−2+252−252+252−254i−4i4i−4i4ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ470000000000001+51−500001+5−1−51−5−1+5−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1648-88-8−8i8i−8i8i00-400−2+25−2−25-444−2+252−25−2−252+252−252+254i−4i4i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ590000000000001−51+500001−5−1+51+5−1−5−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1658-8-888i−8i−8i8i00-400−2−25−2+254-442+25−2−252−25−2+252+252−25−4i4i4i−4i4ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ470000000000001+51−50000−1−51+5−1+51−5−1−5−1+52ζ11+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+2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1668-8-888i−8i−8i8i00-400−2+25−2−254-442−25−2+252+25−2−252−252+25−4i4i4i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ590000000000001−51+50000−1+51−5−1−51+5−1+5−1−52ζ7+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+2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1678-8-88−8i8i8i−8i00-400−2−25−2+254-442+25−2−252−25−2+252+252−254i−4i−4i4i−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ59−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ470000000000001+51−50000−1−51+5−1+51−5−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-8-88−8i8i8i−8i00-400−2+25−2−254-442−25−2+252+25−2−252−252+254i−4i−4i4i−4ζ7−4ζ23−4ζ43−4ζ474ζ7+4ζ23+4ζ43+4ζ47−4ζ11−4ζ19−4ζ31−4ζ594ζ11+4ζ19+4ζ31+4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ590000000000001−51+50000−1+51−5−1−51+5−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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