Finite Group Databasebeta

← Group #13053675

Character table — Group #13053675

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222222244444444488888881414141456224444444448888888881616161616161628282828112336666666661212121212121212122424242424242442424242168
order12477788141414282828565656565656428282828282816161616436122121212424424242848484168168168168168168128484848484844848484812224141414881414142828285656565656564282828282828161616164
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1111111111111111111111111111-1-1-1-1-1111111111111111111111111111-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-11111-111111111111111111111-1-1-1-1-1-1-11111-111111111111111111111-1-1-1-1-1-1-11111-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-11
χ5222222-2-2222222-2-2-2-2-2-2000000000000222222-2-2222222-2-2-2-2-2-2000000000000222222-2-2222222-2-2-2-2-2-2000000000000
χ6222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ1042−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ10400000222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ1042−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ10400000222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ1042−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ10400000
χ7222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104-2ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ10400000222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104-2ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ10400000222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ10422−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104-2ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ10400000
χ8222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104-2-2−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ1040ζ40−ζ72−ζ40+ζ72ζ24−ζ88−ζ24+ζ88−ζ8+ζ104ζ8−ζ10400000222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104-2-2−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ1040ζ40−ζ72−ζ40+ζ72ζ24−ζ88−ζ24+ζ88−ζ8+ζ104ζ8−ζ10400000222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104-2-2−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ1040ζ40−ζ72−ζ40+ζ72ζ24−ζ88−ζ24+ζ88−ζ8+ζ104ζ8−ζ10400000
χ9222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104-2-2−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ1040−ζ40+ζ72ζ40−ζ72−ζ24+ζ88ζ24−ζ88ζ8−ζ104−ζ8+ζ10400000222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104-2-2−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ1040−ζ40+ζ72ζ40−ζ72−ζ24+ζ88ζ24−ζ88ζ8−ζ104−ζ8+ζ10400000222−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104-2-2−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ1040−ζ40+ζ72ζ40−ζ72−ζ24+ζ88ζ24−ζ88ζ8−ζ104−ζ8+ζ10400000
χ10222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ7222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ722−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ7200000222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ7222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ722−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ7200000222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ7222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ722−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ7200000
χ11222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ7222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72-2ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ7200000222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ7222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72-2ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ7200000222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ7222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72-2ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ7200000
χ12222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72-2-2−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ720ζ24−ζ88−ζ24+ζ88−ζ8+ζ104ζ8−ζ104ζ40−ζ72−ζ40+ζ7200000222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72-2-2−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ720ζ24−ζ88−ζ24+ζ88−ζ8+ζ104ζ8−ζ104ζ40−ζ72−ζ40+ζ7200000222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72-2-2−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ720ζ24−ζ88−ζ24+ζ88−ζ8+ζ104ζ8−ζ104ζ40−ζ72−ζ40+ζ7200000
χ13222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72-2-2−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ720−ζ24+ζ88ζ24−ζ88ζ8−ζ104−ζ8+ζ104−ζ40+ζ72ζ40−ζ7200000222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72-2-2−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ720−ζ24+ζ88ζ24−ζ88ζ8−ζ104−ζ8+ζ104−ζ40+ζ72ζ40−ζ7200000222−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72-2-2−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72ζ24+ζ88ζ24+ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ720−ζ24+ζ88ζ24−ζ88ζ8−ζ104−ζ8+ζ104−ζ40+ζ72ζ40−ζ7200000
χ14222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ8822−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ882−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ8800000222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ8822−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ882−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ8800000222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ8822−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ882−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ8800000
χ15222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ8822−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88-2ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ8800000222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ8822−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88-2ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ8800000222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ8822−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ88-2ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ8800000
χ16222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88-2-2−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ880−ζ8+ζ104ζ8−ζ104ζ40−ζ72−ζ40+ζ72ζ24−ζ88−ζ24+ζ8800000222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88-2-2−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ880−ζ8+ζ104ζ8−ζ104ζ40−ζ72−ζ40+ζ72ζ24−ζ88−ζ24+ζ8800000222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88-2-2−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ880−ζ8+ζ104ζ8−ζ104ζ40−ζ72−ζ40+ζ72ζ24−ζ88−ζ24+ζ8800000
χ17222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88-2-2−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ880ζ8−ζ104−ζ8+ζ104−ζ40+ζ72ζ40−ζ72−ζ24+ζ88ζ24−ζ8800000222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88-2-2−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ880ζ8−ζ104−ζ8+ζ104−ζ40+ζ72ζ40−ζ72−ζ24+ζ88ζ24−ζ8800000222−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88-2-2−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88−ζ8−ζ104−ζ40−ζ72−ζ24−ζ88ζ8+ζ104ζ8+ζ104ζ40+ζ72ζ40+ζ72ζ24+ζ88ζ24+ζ880ζ8−ζ104−ζ8+ζ104−ζ40+ζ72ζ40−ζ72−ζ24+ζ88ζ24−ζ8800000
χ1822-222200222-2-2-2000000000000022−2−2022-222200222-2-2-2000000000000022−2−2022-222200222-2-2-2000000000000022−2−20
χ1922-222200222-2-2-20000000000000−2−222022-222200222-2-2-20000000000000−2−222022-222200222-2-2-20000000000000−2−2220
χ202-202222−2-2-2-20002−22−22−20000000−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ11102-202222−2-2-2-20002−22−22−20000000−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ11102-202222−2-2-2-20002−22−22−20000000−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ1110
χ212-202222−2-2-2-20002−22−22−20000000ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ11102-202222−2-2-2-20002−22−22−20000000ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ11102-202222−2-2-2-20002−22−22−20000000ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ1110
χ222-20222−22-2-2-2000−22−22−220000000−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ10902-20222−22-2-2-2000−22−22−220000000−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ10902-20222−22-2-2-2000−22−22−220000000−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ1090
χ232-20222−22-2-2-2000−22−22−220000000ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ10902-20222−22-2-2-2000−22−22−220000000ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ10902-20222−22-2-2-2000−22−22−220000000ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ1090
χ2444-4−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ10400−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ1042ζ40+2ζ722ζ24+2ζ882ζ8+2ζ10400000000000000000044-4−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ10400−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ1042ζ40+2ζ722ζ24+2ζ882ζ8+2ζ10400000000000000000044-4−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ10400−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ1042ζ40+2ζ722ζ24+2ζ882ζ8+2ζ104000000000000000000
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χ80444−2ζ8−2ζ104−2ζ40−2ζ72−2ζ24−2ζ88-4-4−2ζ8−2ζ104−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ104−2ζ40−2ζ72−2ζ24−2ζ882ζ8+2ζ1042ζ8+2ζ1042ζ40+2ζ722ζ40+2ζ722ζ24+2ζ882ζ24+2ζ880−2ζ8+2ζ1042ζ8−2ζ1042ζ40−2ζ72−2ζ40+2ζ722ζ24−2ζ88−2ζ24+2ζ8800000-2-2-2ζ8+ζ104ζ40+ζ72ζ24+ζ8822ζ8+ζ104ζ40+ζ72ζ24+ζ88ζ8+ζ104ζ40+ζ72ζ24+ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ880ζ8−ζ104−ζ8+ζ104−ζ40+ζ72ζ40−ζ72−ζ24+ζ88ζ24−ζ880000000000000000000000000000000000000
χ81444−2ζ8−2ζ104−2ζ40−2ζ72−2ζ24−2ζ88-4-4−2ζ8−2ζ104−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ104−2ζ40−2ζ72−2ζ24−2ζ882ζ8+2ζ1042ζ8+2ζ1042ζ40+2ζ722ζ40+2ζ722ζ24+2ζ882ζ24+2ζ8802ζ8−2ζ104−2ζ8+2ζ104−2ζ40+2ζ722ζ40−2ζ72−2ζ24+2ζ882ζ24−2ζ8800000-2-2-2ζ8+ζ104ζ40+ζ72ζ24+ζ8822ζ8+ζ104ζ40+ζ72ζ24+ζ88ζ8+ζ104ζ40+ζ72ζ24+ζ88−ζ8−ζ104−ζ8−ζ104−ζ40−ζ72−ζ40−ζ72−ζ24−ζ88−ζ24−ζ880−ζ8+ζ104ζ8−ζ104ζ40−ζ72−ζ40+ζ72ζ24−ζ88−ζ24+ζ880000000000000000000000000000000000000
χ8244-444400444-4-4-400000000000002222−22−220-2-22-2-2-200-2-2-22220000000000000−2−222000000000000000000000000000000000
χ8344-444400444-4-4-40000000000000−22−2222220-2-22-2-2-200-2-2-2222000000000000022−2−2000000000000000000000000000000000
χ844-4044422−22-4-4-400022−2222−2222−220000000−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43+2ζ45−2ζ59+2ζ61−2ζ75+2ζ93−2ζ107+2ζ1092ζ11−2ζ13+2ζ27−2ζ29+2ζ43−2ζ45+2ζ59−2ζ61+2ζ75−2ζ93+2ζ107−2ζ109−2ζ9+2ζ15−2ζ25+2ζ31−2ζ41+2ζ47−2ζ57−2ζ73+2ζ79−2ζ89+2ζ95+2ζ1112ζ9−2ζ15+2ζ25−2ζ31+2ζ41−2ζ47+2ζ57+2ζ73−2ζ79+2ζ89−2ζ95−2ζ1110-220-2-2-2−22222000−22−22−220000000ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111000000000000000000000000000000000
χ854-4044422−22-4-4-400022−2222−2222−2200000002ζ11−2ζ13+2ζ27−2ζ29+2ζ43−2ζ45+2ζ59−2ζ61+2ζ75−2ζ93+2ζ107−2ζ109−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43+2ζ45−2ζ59+2ζ61−2ζ75+2ζ93−2ζ107+2ζ1092ζ9−2ζ15+2ζ25−2ζ31+2ζ41−2ζ47+2ζ57+2ζ73−2ζ79+2ζ89−2ζ95−2ζ111−2ζ9+2ζ15−2ζ25+2ζ31−2ζ41+2ζ47−2ζ57−2ζ73+2ζ79−2ζ89+2ζ95+2ζ1110-220-2-2-2−22222000−22−22−220000000−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111000000000000000000000000000000000
χ864-40444−2222-4-4-4000−2222−2222−22220000000−2ζ9+2ζ15−2ζ25+2ζ31−2ζ41+2ζ47−2ζ57−2ζ73+2ζ79−2ζ89+2ζ95+2ζ1112ζ9−2ζ15+2ζ25−2ζ31+2ζ41−2ζ47+2ζ57+2ζ73−2ζ79+2ζ89−2ζ95−2ζ1112ζ11−2ζ13+2ζ27−2ζ29+2ζ43−2ζ45+2ζ59−2ζ61+2ζ75−2ζ93+2ζ107−2ζ109−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43+2ζ45−2ζ59+2ζ61−2ζ75+2ζ93−2ζ107+2ζ1090-220-2-2-22−22220002−22−22−20000000ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109000000000000000000000000000000000
χ874-40444−2222-4-4-4000−2222−2222−222200000002ζ9−2ζ15+2ζ25−2ζ31+2ζ41−2ζ47+2ζ57+2ζ73−2ζ79+2ζ89−2ζ95−2ζ111−2ζ9+2ζ15−2ζ25+2ζ31−2ζ41+2ζ47−2ζ57−2ζ73+2ζ79−2ζ89+2ζ95+2ζ111−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43+2ζ45−2ζ59+2ζ61−2ζ75+2ζ93−2ζ107+2ζ1092ζ11−2ζ13+2ζ27−2ζ29+2ζ43−2ζ45+2ζ59−2ζ61+2ζ75−2ζ93+2ζ107−2ζ1090-220-2-2-22−22220002−22−22−20000000−ζ9+ζ15−ζ25+ζ31−ζ41+ζ47−ζ57−ζ73+ζ79−ζ89+ζ95+ζ111ζ9−ζ15+ζ25−ζ31+ζ41−ζ47+ζ57+ζ73−ζ79+ζ89−ζ95−ζ111ζ11−ζ13+ζ27−ζ29+ζ43−ζ45+ζ59−ζ61+ζ75−ζ93+ζ107−ζ109−ζ11+ζ13−ζ27+ζ29−ζ43+ζ45−ζ59+ζ61−ζ75+ζ93−ζ107+ζ109000000000000000000000000000000000
χ8888-8−4ζ40−4ζ72−4ζ24−4ζ88−4ζ8−4ζ10400−4ζ40−4ζ72−4ζ24−4ζ88−4ζ8−4ζ1044ζ40+4ζ724ζ24+4ζ884ζ8+4ζ104000000000000000000-4-442ζ40+2ζ722ζ24+2ζ882ζ8+2ζ104002ζ40+2ζ722ζ24+2ζ882ζ8+2ζ104−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ10400000000000000000000000000000000000000000000000000
χ8988-8−4ζ24−4ζ88−4ζ8−4ζ104−4ζ40−4ζ7200−4ζ24−4ζ88−4ζ8−4ζ104−4ζ40−4ζ724ζ24+4ζ884ζ8+4ζ1044ζ40+4ζ72000000000000000000-4-442ζ24+2ζ882ζ8+2ζ1042ζ40+2ζ72002ζ24+2ζ882ζ8+2ζ1042ζ40+2ζ72−2ζ24−2ζ88−2ζ8−2ζ104−2ζ40−2ζ7200000000000000000000000000000000000000000000000000
χ9088-8−4ζ8−4ζ104−4ζ40−4ζ72−4ζ24−4ζ8800−4ζ8−4ζ104−4ζ40−4ζ72−4ζ24−4ζ884ζ8+4ζ1044ζ40+4ζ724ζ24+4ζ88000000000000000000-4-442ζ8+2ζ1042ζ40+2ζ722ζ24+2ζ88002ζ8+2ζ1042ζ40+2ζ722ζ24+2ζ88−2ζ8−2ζ104−2ζ40−2ζ72−2ζ24−2ζ8800000000000000000000000000000000000000000000000000
χ918-80−4ζ40−4ζ72−4ζ24−4ζ88−4ζ8−4ζ10442−424ζ40+4ζ724ζ24+4ζ884ζ8+4ζ104000−2ζ26+2ζ30−2ζ58+2ζ1102ζ26−2ζ30+2ζ58−2ζ110−2ζ10+2ζ46−2ζ74+2ζ942ζ10−2ζ46+2ζ74−2ζ942ζ62+2ζ78−2ζ90−2ζ106−2ζ62−2ζ78+2ζ90+2ζ106000000000000-4402ζ40+2ζ722ζ24+2ζ882ζ8+2ζ104−2222−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ104000ζ26−ζ30+ζ58−ζ110−ζ26+ζ30−ζ58+ζ110ζ10−ζ46+ζ74−ζ94−ζ10+ζ46−ζ74+ζ94−ζ62−ζ78+ζ90+ζ106ζ62+ζ78−ζ90−ζ10600000000000000000000000000000000000000000000
χ928-80−4ζ40−4ζ72−4ζ24−4ζ88−4ζ8−4ζ104−42424ζ40+4ζ724ζ24+4ζ884ζ8+4ζ1040002ζ26−2ζ30+2ζ58−2ζ110−2ζ26+2ζ30−2ζ58+2ζ1102ζ10−2ζ46+2ζ74−2ζ94−2ζ10+2ζ46−2ζ74+2ζ94−2ζ62−2ζ78+2ζ90+2ζ1062ζ62+2ζ78−2ζ90−2ζ106000000000000-4402ζ40+2ζ722ζ24+2ζ882ζ8+2ζ10422−22−2ζ40−2ζ72−2ζ24−2ζ88−2ζ8−2ζ104000−ζ26+ζ30−ζ58+ζ110ζ26−ζ30+ζ58−ζ110−ζ10+ζ46−ζ74+ζ94ζ10−ζ46+ζ74−ζ94ζ62+ζ78−ζ90−ζ106−ζ62−ζ78+ζ90+ζ10600000000000000000000000000000000000000000000
χ938-80−4ζ24−4ζ88−4ζ8−4ζ104−4ζ40−4ζ7242−424ζ24+4ζ884ζ8+4ζ1044ζ40+4ζ72000−2ζ10+2ζ46−2ζ74+2ζ942ζ10−2ζ46+2ζ74−2ζ942ζ62+2ζ78−2ζ90−2ζ106−2ζ62−2ζ78+2ζ90+2ζ106−2ζ26+2ζ30−2ζ58+2ζ1102ζ26−2ζ30+2ζ58−2ζ110000000000000-4402ζ24+2ζ882ζ8+2ζ1042ζ40+2ζ72−2222−2ζ24−2ζ88−2ζ8−2ζ104−2ζ40−2ζ72000ζ10−ζ46+ζ74−ζ94−ζ10+ζ46−ζ74+ζ94−ζ62−ζ78+ζ90+ζ106ζ62+ζ78−ζ90−ζ106ζ26−ζ30+ζ58−ζ110−ζ26+ζ30−ζ58+ζ11000000000000000000000000000000000000000000000
χ948-80−4ζ24−4ζ88−4ζ8−4ζ104−4ζ40−4ζ72−42424ζ24+4ζ884ζ8+4ζ1044ζ40+4ζ720002ζ10−2ζ46+2ζ74−2ζ94−2ζ10+2ζ46−2ζ74+2ζ94−2ζ62−2ζ78+2ζ90+2ζ1062ζ62+2ζ78−2ζ90−2ζ1062ζ26−2ζ30+2ζ58−2ζ110−2ζ26+2ζ30−2ζ58+2ζ110000000000000-4402ζ24+2ζ882ζ8+2ζ1042ζ40+2ζ7222−22−2ζ24−2ζ88−2ζ8−2ζ104−2ζ40−2ζ72000−ζ10+ζ46−ζ74+ζ94ζ10−ζ46+ζ74−ζ94ζ62+ζ78−ζ90−ζ106−ζ62−ζ78+ζ90+ζ106−ζ26+ζ30−ζ58+ζ110ζ26−ζ30+ζ58−ζ11000000000000000000000000000000000000000000000
χ958-80−4ζ8−4ζ104−4ζ40−4ζ72−4ζ24−4ζ8842−424ζ8+4ζ1044ζ40+4ζ724ζ24+4ζ880002ζ62+2ζ78−2ζ90−2ζ106−2ζ62−2ζ78+2ζ90+2ζ106−2ζ26+2ζ30−2ζ58+2ζ1102ζ26−2ζ30+2ζ58−2ζ110−2ζ10+2ζ46−2ζ74+2ζ942ζ10−2ζ46+2ζ74−2ζ94000000000000-4402ζ8+2ζ1042ζ40+2ζ722ζ24+2ζ88−2222−2ζ8−2ζ104−2ζ40−2ζ72−2ζ24−2ζ88000−ζ62−ζ78+ζ90+ζ106ζ62+ζ78−ζ90−ζ106ζ26−ζ30+ζ58−ζ110−ζ26+ζ30−ζ58+ζ110ζ10−ζ46+ζ74−ζ94−ζ10+ζ46−ζ74+ζ9400000000000000000000000000000000000000000000
χ968-80−4ζ8−4ζ104−4ζ40−4ζ72−4ζ24−4ζ88−42424ζ8+4ζ1044ζ40+4ζ724ζ24+4ζ88000−2ζ62−2ζ78+2ζ90+2ζ1062ζ62+2ζ78−2ζ90−2ζ1062ζ26−2ζ30+2ζ58−2ζ110−2ζ26+2ζ30−2ζ58+2ζ1102ζ10−2ζ46+2ζ74−2ζ94−2ζ10+2ζ46−2ζ74+2ζ94000000000000-4402ζ8+2ζ1042ζ40+2ζ722ζ24+2ζ8822−22−2ζ8−2ζ104−2ζ40−2ζ72−2ζ24−2ζ88000ζ62+ζ78−ζ90−ζ106−ζ62−ζ78+ζ90+ζ106−ζ26+ζ30−ζ58+ζ110ζ26−ζ30+ζ58−ζ110−ζ10+ζ46−ζ74+ζ94ζ10−ζ46+ζ74−ζ9400000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 112 (ζ112 = 1).