Finite Group Databasebeta

← Group #72323131

Character table — Group #72323131

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154
size112222222224444444444444444444888888888888888888888888161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232326464646464646464646464646464646464646464128128128128
order122224444884444888888816161616161616162444161616163232323232323232323232323232323288888888881616161616161616323232323232323288888888161632323232323232326464646464646464646464646464646464646464646464646464646464646464222244444488888816161616481616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11111-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ9111111111111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-11111-1-1-1-1
χ10111111111111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111
χ12111111111111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111-11-1-1111111111111-1-1-1-1
χ13111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-11-1-11111-1-1-1-1-1-1-1-1-1-111
χ14111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ15111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-111-1-1-1-11111111111-1-1
χ16111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1111111-1-1-1-1-1-111
χ1711111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1ii−i−iii−i−i-11i−i
χ1811111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111111-1-1-11-1-1-11111ii−i−i−i−iii1-1−ii
χ1911111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−i11-1-1ii−i−i1111-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111−i−iii−i−iii1-1−ii
χ2011111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−i11-1-1ii−i−i1111-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1111-1111-1-1-1-1−i−iiiii−i−i-11i−i
χ2111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii11-1-1−i−iii1111-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1111-1111-1-1-1-1ii−i−i−i−iii-11−ii
χ2211111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii11-1-1−i−iii1111-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-111-1-1-111-1-111ii−i−iii−i−i1-1i−i
χ2311111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111111-1-1-11-1-1-11111−i−iiiii−i−i1-1i−i
χ2411111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-1-1111-1-111-1-1−i−iii−i−iii-11−ii
χ2511111111111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11ii−i−i−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−iiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1−i−iiiii−i−i1-1−ii
χ2611111111111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11ii−i−i−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−iiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1111-11-1-1-1-1-111−i−iii−i−iii-11i−i
χ2711111111111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11ii−i−i−i−iii-1-111ii−i−i-1-1-1-11111−i−i−i−iiiii−iiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111ii−i−i−i−iii-11i−i
χ2811111111111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11ii−i−i−i−iii-1-111ii−i−i-1-1-1-11111−i−i−i−iiiii−iiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-11-111111-1-1ii−i−iii−i−i1-1−ii
χ2911111111111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−i−iiiii−i−i-1-111−i−iii-1-1-1-11111iiii−i−i−i−ii−i−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-1-11-111111-1-1−i−iii−i−iii1-1i−i
χ3011111111111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−i−iiiii−i−i-1-111−i−iii-1-1-1-11111iiii−i−i−i−ii−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111−i−iiiii−i−i-11−ii
χ3111111111111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−i−iiiii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−i−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1111-11-1-1-1-1-111ii−i−iii−i−i-11−ii
χ3211111111111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−i−iiiii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1ii−i−i−i−iii1-1i−i
χ3322222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000022-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-22222222200000000000000000000000000000000000000000000000000000000
χ35222222222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222222200000000-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ36222222222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222200000000222222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ372222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-20000000000000000-2-20000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000
χ382222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-20000000000000000-2-200000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000
χ392222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000220000000022−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−222000000000000000000000000
χ402222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002200000000−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000000000000000
χ412222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-22222-2-2-2-22222-2-2-2-20000000000000000220000000022−2−222−2−2−2−222−2−22222−2−222−2−2−2−222−2−222000000000000000000000000
χ422222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-22222-2-2-2-22222-2-2-2-200000000000000002200000000−2−222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−2000000000000000000000000
χ432222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-22222222222220000000000000000-2-20000000022−2−222−2−2−2−222−2−222−2−222−2−22222−2−222−2−2000000000000000000000000
χ442222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-22222222222220000000000000000-2-200000000−2−222−2−22222−2−222−2−222−2−222−2−2−2−222−2−222000000000000000000000000
χ4522222222222-2-2-2-2222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-22i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i-2-2-2-22222000000002i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ4622222222222-2-2-2-2222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i-2-2-2-2222200000000−2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ4722222222222-2-2-2-2222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222-222i2i−2i−2i−2i−2i2i2i-2-2222i2i−2i−2i2222-2-2-2-200000000−2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ4822222222222-2-2-2-2222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222-22−2i−2i2i2i2i2i−2i−2i-2-222−2i−2i2i2i2222-2-2-2-2000000002i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ4922222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000002-22i2i−2i−2i2i2i−2i−2i-2-222−2i−2i2i2i0000000000000000−2i2i00000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i222−2−2−2−22222−2−2−2−222000000000000000000000000
χ5022222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000002-22i2i−2i−2i2i2i−2i−2i-2-222−2i−2i2i2i0000000000000000−2i2i00000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−2−22222−2−2−2−22222−2−2000000000000000000000000
χ5122222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000002-2−2i−2i2i2i−2i−2i2i2i-2-2222i2i−2i−2i00000000000000002i−2i00000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−2−22222−2−2000000000000000000000000
χ5222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000002-2−2i−2i2i2i−2i−2i2i2i-2-2222i2i−2i−2i00000000000000002i−2i00000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i222−2−2−2−22222−2−2−2−222000000000000000000000000
χ5322222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000-222i2i−2i−2i−2i−2i2i2i22-2-2−2i−2i2i2i00000000000000002i−2i00000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i222−2−2−2−222−2−22222−2−2000000000000000000000000
χ5422222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000-222i2i−2i−2i−2i−2i2i2i22-2-2−2i−2i2i2i00000000000000002i−2i00000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−2−22222−2−222−2−2−2−222000000000000000000000000
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χ12844-4-44-44-4444-4-444-4-44-4-4444444-4-4-4-4000044-4-4000000000000000000-444-4000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12944-4-44-44-44-4-444-4-444-4-4-444000000000000000022−22−2222−222222−2222−22−2222−222222−220000004i−4i4i−4i0000000000000000000000000000002i2−2i22i2−2i200000000000000000000000000000000000000000000000000000000
χ13044-4-44-44-44-4-444-4-444-4-4-444000000000000000022−22−2222−222222−2222−22−2222−222222−22000000−4i4i−4i4i000000000000000000000000000000−2i22i2−2i22i200000000000000000000000000000000000000000000000000000000
χ13144-4-44-44-44-4-444-4-444-4-4-4440000000000000000−222222−2222−22−2222−222222−2222−22−22220000004i−4i4i−4i000000000000000000000000000000−2i22i2−2i22i200000000000000000000000000000000000000000000000000000000
χ13244-4-44-44-44-4-444-4-444-4-4-4440000000000000000−222222−2222−22−2222−222222−2222−22−2222000000−4i4i−4i4i0000000000000000000000000000002i2−2i22i2−2i200000000000000000000000000000000000000000000000000000000
χ13344-4-44-44-44-4-4-4-44444-444-4-4000000000000000022−22−2222−222222−22−222222−2222−22−22220000004-4-4400000000000000000000000000000022−22−222200000000000000000000000000000000000000000000000000000000
χ13444-4-44-44-44-4-4-4-44444-444-4-4000000000000000022−22−2222−222222−22−222222−2222−22−2222000000-444-4000000000000000000000000000000−222222−2200000000000000000000000000000000000000000000000000000000
χ13544-4-44-44-44-4-4-4-44444-444-4-40000000000000000−222222−2222−22−222222−22−2222−222222−220000004-4-44000000000000000000000000000000−222222−2200000000000000000000000000000000000000000000000000000000
χ13644-4-44-44-44-4-4-4-44444-444-4-40000000000000000−222222−2222−22−222222−22−2222−222222−22000000-444-400000000000000000000000000000022−22−222200000000000000000000000000000000000000000000000000000000
χ13788888-8-8-8-8000000000000042−4242−4242−4242−42008-80000000000000000000000000000000042−4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13888888-8-8-8-8000000000000042−4242−4242−4242−4200-8800000000000000000000000000000000−424200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13988888-8-8-8-80000000000000−4242−4242−4242−4242008-800000000000000000000000000000000−424200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14088888-8-8-8-80000000000000−4242−4242−4242−424200-880000000000000000000000000000000042−4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ141888-8-88-8-88000000000000042−42−424242−42−42420000000000000000000000000000000000000000004ζ+4ζ7−4ζ−4ζ74ζ3+4ζ5−4ζ3−4ζ5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ142888-8-88-8-88000000000000042−42−424242−42−4242000000000000000000000000000000000000000000−4ζ−4ζ74ζ+4ζ7−4ζ3−4ζ54ζ3+4ζ5000000000000000000000000000000000000000000000000000000000000000000000000000000
χ143888-8-88-8-880000000000000−424242−42−424242−420000000000000000000000000000000000000000004ζ3+4ζ5−4ζ3−4ζ5−4ζ−4ζ74ζ+4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ144888-8-88-8-880000000000000−424242−42−424242−42000000000000000000000000000000000000000000−4ζ3−4ζ54ζ3+4ζ54ζ+4ζ7−4ζ−4ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14588-88-8-8-888000000000000042−42−4242−424242−4200000000000000000000000000000000000000000000004ζ−4ζ7−4ζ+4ζ74ζ3−4ζ5−4ζ3+4ζ500000000000000000000000000000000000000000000000000000000000000000000000000
χ14688-88-8-8-888000000000000042−42−4242−424242−420000000000000000000000000000000000000000000000−4ζ+4ζ74ζ−4ζ7−4ζ3+4ζ54ζ3−4ζ500000000000000000000000000000000000000000000000000000000000000000000000000
χ14788-88-8-8-8880000000000000−424242−4242−42−424200000000000000000000000000000000000000000000004ζ3−4ζ5−4ζ3+4ζ5−4ζ+4ζ74ζ−4ζ700000000000000000000000000000000000000000000000000000000000000000000000000
χ14888-88-8-8-8880000000000000−424242−4242−42−42420000000000000000000000000000000000000000000000−4ζ3+4ζ54ζ3−4ζ54ζ−4ζ7−4ζ+4ζ700000000000000000000000000000000000000000000000000000000000000000000000000
χ14988-8-888-88-8000000000000042−4242−42−4242−42428-80000000000000000000000000000000042−420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15088-8-888-88-8000000000000042−4242−42−4242−4242-8800000000000000000000000000000000−42420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15188-8-888-88-80000000000000−4242−424242−4242−428-800000000000000000000000000000000−42420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-888-88-80000000000000−4242−424242−4242−42-880000000000000000000000000000000042−420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15332-320000000162−16200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15432-320000000−16216200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.