Finite Group Databasebeta

← Group #72227123

Character table — Group #72227123

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size11112222222222222222222222224444444444444444444444444444444448888888888888888888888888888888888888888888881616161616161616161616161616161616163232323232323232323232323232323232323232323264646464128128
order1222224444448888888816161616161616164448888888888888816161616161616161616161616161616222288816161616161632323232323232323232323232323232323232323232323232323232323232324444448888161616161616161644888816161616161616163232323232323232444424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1ii−i−i11-1-11111-1-1-1-1i−iii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i1-1
χ101111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii-1-1-1-11111iiii−i−i−i−i−i−iii-11
χ111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1ii−i−i11-1-11111-1-1-1-1i−iii−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i-11
χ121111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−i−iii11-1-11111-1-1-1-1−ii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii1-1
χ131111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11ii−i−i-1-111-1-1-1-11111i−iii−i−i1111-1-1-1-1−i−i−i−iiiii−i−iii-11
χ141111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−i−iii-1-111-1-1-1-11111−ii−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i1-1
χ151111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11ii−i−i-1-111-1-1-1-11111i−iii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii1-1
χ161111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11−i−iii-1-111-1-1-1-11111−ii−i−iii1111-1-1-1-1iiii−i−i−i−iii−i−i-11
χ1722222222222222222222-2-2-2-2-2-2-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2000000000000000000000000000000002200002222-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-200000000000000000000000000000000-2-20000-2-2-2-2222222220000000000000000000000000000
χ1922222222222222-2-2-2-22222222222222-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-200002-2-222-2-2-2-20000000000000000000000000000000000222200000000000022-2-2-2-20000000000000000000000
χ2022222222222222-2-2-2-22222222222222-2-2-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-200002-2-222-2-2-2-20000000000000000000000000000000000-2-2-2-2000000000000-2-222220000000000000000000000
χ2122222222222222-2-2-2-222-2-2-2-2-2-2-2-2222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222222200002-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000000000002-22-200
χ2222222222222222-2-2-2-222-2-2-2-2-2-2-2-2222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222222200002-2-2-2-22222000000000000000000000000000000000000000000000000000000000000000000000000-22-2200
χ23222222222222-2-22222-2-200000000222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-200000022222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2220000-2-2-2-2000000000000000000000022−2−222−2−2000000
χ24222222222222-2-22222-2-200000000222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2000000−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−222222222220000-2-2-2-20000000000000000000000−2−222−2−222000000
χ25222222222222-2-22222-2-200000000222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-200000022222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2-2-2000022220000000000000000000000−2−222−2−222000000
χ26222222222222-2-22222-2-200000000222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2000000−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−222222222-2-200002222000000000000000000000022−2−222−2−2000000
χ2722222222-2-2222200002222222222-2-2-2000000220000-2-2-2-2-2-22222000000000000-200-2-200002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2002222000000000000-2-2000022−2−222−2−200000000000000
χ2822222222-2-2222200002222222222-2-2-2000000220000-2-2-2-2-2-22222000000000000-200-2-200002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−200-2-2-2-2000000000000220000−2−222−2−22200000000000000
χ2922222222-2-2222200002222222222-2-2-2000000220000-2-2-2-2-2-22222000000000000-200-2-20000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222002222000000000000-2-20000−2−222−2−22200000000000000
χ3022222222-2-2222200002222222222-2-2-2000000220000-2-2-2-2-2-22222000000000000-200-2-20000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2222200-2-2-2-200000000000022000022−2−222−2−200000000000000
χ31222222-2-222-2-20022220022−2−222−2−2-2-22-2-222-2-20000000022−2−222−2−22222−2−2−2−222220002−222−2−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5-2-20000000022−2−222−2−200000000000000ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000
χ32222222-2-222-2-20022220022−2−222−2−2-2-22-2-222-2-20000000022−2−222−2−22222−2−2−2−222220002−222−2−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5-2-20000000022−2−222−2−200000000000000−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000
χ33222222-2-222-2-20022220022−2−222−2−2-2-22-2-222-2-20000000022−2−222−2−22222−2−2−2−2-2-2-2-20002−222−2−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ52200000000−2−222−2−22200000000000000−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000
χ34222222-2-222-2-20022220022−2−222−2−2-2-22-2-222-2-20000000022−2−222−2−22222−2−2−2−2-2-2-2-20002−222−2−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ52200000000−2−222−2−22200000000000000ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000
χ35222222-2-222-2-200222200−2−222−2−222-2-22-2-222-2-200000000−2−222−2−222−2−2−2−222222222000−22−2−222ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7-2-200000000−2−222−2−22200000000000000ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000
χ36222222-2-222-2-200222200−2−222−2−222-2-22-2-222-2-200000000−2−222−2−222−2−2−2−222222222000−22−2−222−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7-2-200000000−2−222−2−22200000000000000−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000
χ37222222-2-222-2-200222200−2−222−2−222-2-22-2-222-2-200000000−2−222−2−222−2−2−2−22222-2-2-2-2000−22−2−222ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7220000000022−2−222−2−200000000000000−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000
χ38222222-2-222-2-200222200−2−222−2−222-2-22-2-222-2-200000000−2−222−2−222−2−2−2−22222-2-2-2-2000−22−2−222−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7220000000022−2−222−2−200000000000000ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000
χ392222-2-22222-2-20022220022−2−222−2−22-2-2-2-2-2-2220000000022−2−2−2−2222222−2−2−2−222-2-2000−22−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5-2200000000−2−22222−2−200000000000000ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000
χ402222-2-22222-2-20022220022−2−222−2−22-2-2-2-2-2-2220000000022−2−2−2−2222222−2−2−2−222-2-2000−22−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5-2200000000−2−22222−2−200000000000000−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000
χ412222-2-22222-2-20022220022−2−222−2−22-2-2-2-2-2-2220000000022−2−2−2−2222222−2−2−2−2-2-222000−22−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ52-20000000022−2−2−2−22200000000000000−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5000000
χ422222-2-22222-2-20022220022−2−222−2−22-2-2-2-2-2-2220000000022−2−2−2−2222222−2−2−2−2-2-222000−22−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ52-20000000022−2−2−2−22200000000000000ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5000000
χ432222-2-22222-2-200222200−2−222−2−2222-2-2-2-2-2-22200000000−2−22222−2−2−2−2−2−2222222-2-20002−222−2−2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7-220000000022−2−2−2−22200000000000000ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000
χ442222-2-22222-2-200222200−2−222−2−2222-2-2-2-2-2-22200000000−2−22222−2−2−2−2−2−2222222-2-20002−222−2−2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7-220000000022−2−2−2−22200000000000000−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.