Finite Group Databasebeta

← Group #140451

Character table — Group #140451

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order122222224444444488888888161616161616161616161616161616164444444444888888888888161616161616161616161616161616161616161616161616888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ91-1111-1-1-11-1-1-111-11-1-11111-1-111111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1i−ii−i
χ101-1111-1-1-11-1-1-111-11-1-11111-1-111111111-1-1-1-1-1-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−ii−ii
χ111-1111-1-1-11-1-1-111-11-1-11111-1-111111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−ii−ii
χ121-1111-1-1-11-1-1-111-11-1-11111-1-111111111-1-1-1-1-1-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111i−ii−i
χ131-1111-1-1-11-1-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1ii−i−iii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111i−i−ii
χ141-1111-1-1-11-1-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1ii−i−iii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−iii−i
χ151-1111-1-1-11-1-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1−i−iii−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−iii−i
χ161-1111-1-1-11-1-1-111-11-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1−i−iii−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1i−i−ii
χ172222222222222222-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ1922222222222-2-2-2-22000000002222−2−2−2−22222−2−2−2−2-2-22222-2-2-2-200000000000022−2−222−2−22222−2−2−2−22222−2−2−2−2000000000000
χ2022222222222-2-2-2-22000000002222−2−2−2−22222−2−2−2−2-2-2-2-2-2-2222200000000000022−2−222−2−2−2−2−2−22222−2−2−2−22222000000000000
χ2122222222222-2-2-2-2200000000−2−2−2−22222−2−2−2−22222-2-22222-2-2-2-2000000000000−2−222−2−222−2−2−2−22222−2−2−2−22222000000000000
χ2222222222222-2-2-2-2200000000−2−2−2−22222−2−2−2−22222-2-2-2-2-2-22222000000000000−2−222−2−2222222−2−2−2−22222−2−2−2−2000000000000
χ2322222222-2-2-22222-2222222222222222222222222-2-200000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ2422222222-2-2-22222-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-200000000222222220000000000000000000000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-2-2-20000000000000000-2-200000000222200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-22222-2-2-2-2-2-2-2-2-20000000000000000-2-20000000022220000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−2220000000000002i2i−2i−2i2i2i−2i−2i−2−222−2−222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ2822222222-2-2-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−222000000000000−2i−2i2i2i−2i−2i2i2i−2−222−2−222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ2922222222-2-2-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−22222220000000000002i2i−2i−2i2i2i−2i−2i22−2−222−2−2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ3022222222-2-2-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−2222222000000000000−2i−2i2i2i−2i−2i2i2i22−2−222−2−2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ31222-2-22-2-222-20000-22−222−2−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5002-22-200002−22−22−22−22−22−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ32222-2-22-2-222-20000-22−222−2−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ500-22-2200002−22−2−22−22−22−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ33222-2-22-2-222-20000-22−222−2−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5002-22-200002−22−22−22−22−22−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ34222-2-22-2-222-20000-22−222−2−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ500-22-2200002−22−2−22−22−22−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ35222-2-22-2-222-20000-2−22−2−222−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7002-22-20000−22−22−22−22−22−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ36222-2-22-2-222-20000-2−22−2−222−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ700-22-220000−22−222−22−22−22−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ37222-2-22-2-222-20000-2−22−2−222−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7002-22-20000−22−22−22−22−22−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ38222-2-22-2-222-20000-2−22−2−222−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ700-22-220000−22−222−22−22−22−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ39222-2-22-2-2-2-22000022−222−2−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ50000002i−2i2i−2i−22−22i2−i2−i2i2i2−i2−i2i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ40222-2-22-2-2-2-22000022−222−2−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000−2i2i−2i2i−22−22−i2i2i2−i2−i2i2i2−i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ41222-2-22-2-2-2-22000022−222−2−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ50000002i−2i2i−2i−22−22i2−i2−i2i2i2−i2−i2i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ42222-2-22-2-2-2-22000022−222−2−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000−2i2i−2i2i−22−22−i2i2i2−i2−i2i2i2−i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ43222-2-22-2-2-2-2200002−22−2−222−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ70000002i−2i2i−2i2−22−2−i2i2i2−i2−i2i2i2−i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7000000000000
χ44222-2-22-2-2-2-2200002−22−2−222−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000−2i2i−2i2i2−22−2i2−i2−i2i2i2−i2−i2i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7000000000000
χ45222-2-22-2-2-2-2200002−22−2−222−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ70000002i−2i2i−2i2−22−2−i2i2i2−i2−i2i2i2−i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7000000000000
χ46222-2-22-2-2-2-2200002−22−2−222−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000−2i2i−2i2i2−22−2i2−i2−i2i2i2−i2−i2i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7000000000000
χ4722-22-2-22-200022-2-20-2-22-22-2222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000i2−i2i2−i22−22−20000
χ4822-22-2-22-200022-2-20-2-22-22-2222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−i2i2−i2i2−22−220000
χ4922-22-2-22-200022-2-20-2-22-22-222−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000i2−i2i2−i2−22−220000
χ5022-22-2-22-200022-2-20-2-22-22-222−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000−i2i2−i2i22−22−20000
χ512-2222-2-2-22-2-22-2-222000000002222−2−2−2−2−2−2−2−22222-222i2i−2i−2i−2i−2i2i2i00000000000022−2−2−2−222i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ522-2222-2-2-22-2-22-2-222000000002222−2−2−2−2−2−2−2−22222-22−2i−2i2i2i2i2i−2i−2i00000000000022−2−2−2−222−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ532-2222-2-2-22-2-22-2-22200000000−2−2−2−222222222−2−2−2−2-222i2i−2i−2i−2i−2i2i2i000000000000−2−22222−2−2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ542-2222-2-2-22-2-22-2-22200000000−2−2−2−222222222−2−2−2−2-22−2i−2i2i2i2i2i−2i−2i000000000000−2−22222−2−2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ552-2222-2-2-22-2-2-222-2222-2-2-2-22200000000000000002-22i2i−2i−2i2i2i−2i−2i-2-222−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ562-2222-2-2-22-2-2-222-2222-2-2-2-22200000000000000002-2−2i−2i2i2i−2i−2i2i2i-2-2222i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ572-2222-2-2-2-2222-2-22-2000000002222−2−2−2−2−2−2−2−222222-200000000000022-2-2-2-222−2−22222−2−222−2−2−2−222−2−22222−2−2000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.