Finite Group Databasebeta

← Group #138115

Character table — Group #138115

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222244444444444444448888888888888888224444888888881616161616161616161616161616161616161616161616161616161616161616888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1-11-1
χ611111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-11-11
χ711111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-11-11
χ811111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1-11-1
χ91111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ121111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii1-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i1-1-11
χ17222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222222-2-2222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2122222222-2-2222222-2-2-2-2-2-222000000000000000022-2-2-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ2222222222-2-2222222-2-2-2-2-2-222000000000000000022-2-2-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2222200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2222200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2522222222-2-2-2-2-2-2222222-2-2220000000000000000-2-222-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2622222222-2-2-2-2-2-2222222-2-2220000000000000000-2-222-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ29222-22-2-2-20022-2-222000000-2-222−2−22222−2−2−2−222−2−22-2000022−2−222−2−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000000000
χ30222-22-2-2-20022-2-222000000-2-222−2−22222−2−2−2−222−2−22-2000022−2−222−2−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000000000
χ31222-22-2-2-20022-2-222000000-2-2−2−222−2−2−2−22222−2−2222-20000−2−222−2−222ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000000000
χ32222-22-2-2-20022-2-222000000-2-2−2−222−2−2−2−22222−2−2222-20000−2−222−2−222−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000000000
χ33222-22-2-2-20022-2-2-2-20000002222−2−22222−2−2−2−222−2−2-220000−2−222−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000000000
χ34222-22-2-2-20022-2-2-2-20000002222−2−22222−2−2−2−222−2−2-220000−2−222−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000000000
χ35222-22-2-2-20022-2-2-2-200000022−2−222−2−2−2−22222−2−222-22000022−2−222−2−2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ36222-22-2-2-20022-2-2-2-200000022−2−222−2−2−2−22222−2−222-22000022−2−222−2−2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ37222-22-2-2-200-2-22222000000-2-222−2−2−2−2−2−2222222−2−2-22000022−2−2−2−222ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000000000
χ38222-22-2-2-200-2-22222000000-2-222−2−2−2−2−2−2222222−2−2-22000022−2−2−2−222−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000000000
χ39222-22-2-2-200-2-22222000000-2-2−2−2222222−2−2−2−2−2−222-220000−2−22222−2−2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000000000
χ40222-22-2-2-200-2-22222000000-2-2−2−2222222−2−2−2−2−2−222-220000−2−22222−2−2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000000000
χ41222-22-2-2-200-2-222-2-20000002222−2−2−2−2−2−2222222−2−22-20000−2−22222−2−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000000000
χ42222-22-2-2-200-2-222-2-20000002222−2−2−2−2−2−2222222−2−22-20000−2−22222−2−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000000000
χ43222-22-2-2-200-2-222-2-200000022−2−2222222−2−2−2−2−2−2222-2000022−2−2−2−222ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ44222-22-2-2-200-2-222-2-200000022−2−2222222−2−2−2−2−2−2222-2000022−2−2−2−222−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ4522-2-2-222-22-22i−2i2i−2i002i2i−2i−2i2-2002-22-22i2i−2i−2i2i2i−2i−2i2-22-200000000000000000000000000000000000000000000002−2i2−i22−2i2−i20000
χ4622-2-2-222-22-22i−2i2i−2i002i2i−2i−2i2-2002-22-22i2i−2i−2i2i2i−2i−2i2-22-20000000000000000000000000000000000000000000000−22−i2i2−22−i2i20000
χ4722-2-2-222-22-22i−2i2i−2i002i2i−2i−2i2-200-22-22−2i−2i2i2i−2i−2i2i2i-22-220000000000000000000000000000000000000000000000i2−i2−22−i2i22−20000
χ4822-2-2-222-22-22i−2i2i−2i002i2i−2i−2i2-200-22-22−2i−2i2i2i−2i−2i2i2i-22-220000000000000000000000000000000000000000000000−i2i22−2i2−i2−220000
χ4922-2-2-222-22-2−2i2i−2i2i00−2i−2i2i2i2-2002-22-2−2i−2i2i2i−2i−2i2i2i2-22-200000000000000000000000000000000000000000000002−2−i2i22−2−i2i20000
χ5022-2-2-222-22-2−2i2i−2i2i00−2i−2i2i2i2-2002-22-2−2i−2i2i2i−2i−2i2i2i2-22-20000000000000000000000000000000000000000000000−22i2−i2−22i2−i20000
χ5122-2-2-222-22-2−2i2i−2i2i00−2i−2i2i2i2-200-22-222i2i−2i−2i2i2i−2i−2i-22-220000000000000000000000000000000000000000000000i2−i22−2−i2i2−220000
χ5222-2-2-222-22-2−2i2i−2i2i00−2i−2i2i2i2-200-22-222i2i−2i−2i2i2i−2i−2i-22-220000000000000000000000000000000000000000000000−i2i2−22i2−i22−20000
χ532-2-222-22-20000002-22i−2i2i−2i002-222−2−2i2−i2i2−i2i2−i2i2−i2−2−222002i−2i002−22−2i2−i2i2−i2ζ3+ζ5−ζ3−ζ5ζ3+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−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ542-2-222-22-20000002-22i−2i2i−2i002-222−2−2i2−i2i2−i2i2−i2i2−i2−2−222002i−2i002−22−2i2−i2i2−i2−ζ3−ζ5ζ3+ζ5−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+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ552-2-222-22-20000002-22i−2i2i−2i002-2−2−222−i2i2−i2i2−i2i2−i2i222−2−2002i−2i00−22−22−i2i2−i2i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ562-2-222-22-20000002-22i−2i2i−2i002-2−2−222−i2i2−i2i2−i2i2−i2i222−2−2002i−2i00−22−22−i2i2−i2i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ572-2-222-22-20000002-2−2i2i−2i2i002-222−2−2−i2i2−i2i2−i2i2−i2i2−2−22200−2i2i002−22−2−i2i2−i2i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ582-2-222-22-20000002-2−2i2i−2i2i002-222−2−2−i2i2−i2i2−i2i2−i2i2−2−22200−2i2i002−22−2−i2i2−i2i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ592-2-222-22-20000002-2−2i2i−2i2i002-2−2−222i2−i2i2−i2i2−i2i2−i222−2−200−2i2i00−22−22i2−i2i2−i2ζ+ζ7−ζ−ζ7ζ+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−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ602-2-222-22-20000002-2−2i2i−2i2i002-2−2−222i2−i2i2−i2i2−i2i2−i222−2−200−2i2i00−22−22i2−i2i2−i2−ζ−ζ7ζ+ζ7−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+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ612-2-222-22-2000000-222i−2i2i−2i00-2222−2−2i2−i2i2−i2i2−i2i2−i2−2−22200−2i2i00−22−22−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−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
χ622-2-222-22-2000000-222i−2i2i−2i00-2222−2−2i2−i2i2−i2i2−i2i2−i2−2−22200−2i2i00−22−22−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+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
χ632-2-222-22-2000000-222i−2i2i−2i00-22−2−222−i2i2−i2i2−i2i2−i2i222−2−200−2i2i002−22−2i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−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−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ642-2-222-22-2000000-222i−2i2i−2i00-22−2−222−i2i2−i2i2−i2i2−i2i222−2−200−2i2i002−22−2i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−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+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ652-2-222-22-2000000-22−2i2i−2i2i00-2222−2−2−i2i2−i2i2−i2i2−i2i2−2−222002i−2i00−22−22i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−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+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000000000
χ662-2-222-22-2000000-22−2i2i−2i2i00-2222−2−2−i2i2−i2i2−i2i2−i2i2−2−222002i−2i00−22−22i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−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−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000000000
χ672-2-222-22-2000000-22−2i2i−2i2i00-22−2−222i2−i2i2−i2i2−i2i2−i222−2−2002i−2i002−22−2−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+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
χ682-2-222-22-2000000-22−2i2i−2i2i00-22−2−222i2−i2i2−i2i2−i2i2−i222−2−2002i−2i002−22−2−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−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
χ692-2-2-222-222200002-20000-2-2-2200002i−2i2i−2i−2i2i−2i2i000000002-200002i−2i−2i2ii2−i2−i2i2−i2i2i2−i22−2−222−2−22i2−i2−i2i2−i2i2i2−i22−2−222−2−22000000000000
χ702-2-2-222-222200002-20000-2-2-2200002i−2i2i−2i−2i2i−2i2i000000002-200002i−2i−2i2i−i2i2i2−i2i2−i2−i2i2−222−2−222−2−i2i2i2−i2i2−i2−i2i2−222−2−222−2000000000000
χ712-2-2-222-222200002-20000-2-2-220000−2i2i−2i2i2i−2i2i−2i000000002-20000−2i2i2i−2ii2−i2−i2i2−i2i2i2−i2−222−2−222−2i2−i2−i2i2−i2i2i2−i2−222−2−222−2000000000000
χ722-2-2-222-222200002-20000-2-2-220000−2i2i−2i2i2i−2i2i−2i000000002-20000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i22−2−222−2−22−i2i2i2−i2i2−i2−i2i22−2−222−2−22000000000000
χ732-2-2-222-22220000-220000-2-22-200002i−2i2i−2i−2i2i−2i2i00000000-220000−2i2i2i−2i2−2−22−222−2i2−i2−i2i2i2−i2−i2i2−222−22−2−22−i2i2i2−i2−i2i2i2−i2000000000000
χ742-2-2-222-22220000-220000-2-22-200002i−2i2i−2i−2i2i−2i2i00000000-220000−2i2i2i−2i−222−22−2−22−i2i2i2−i2−i2i2i2−i22−2−22−222−2i2−i2−i2i2i2−i2−i2i2000000000000
χ752-2-2-222-22220000-220000-2-22-20000−2i2i−2i2i2i−2i2i−2i00000000-2200002i−2i−2i2i2−2−22−222−2−i2i2i2−i2−i2i2i2−i2−222−22−2−22i2−i2−i2i2i2−i2−i2i2000000000000
χ762-2-2-222-22220000-220000-2-22-20000−2i2i−2i2i2i−2i2i−2i00000000-2200002i−2i−2i2i−222−22−2−22i2−i2−i2i2i2−i2−i2i22−2−22−222−2−i2i2i2−i2−i2i2i2−i2000000000000
χ772-2-2-222-22-2-200002-2000022-22222200000000-2-2-2-20000-222-2-2200002i−2i−2i2i2i−2i−2i2i000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ782-2-2-222-22-2-200002-2000022-22222200000000-2-2-2-20000-222-2-220000−2i2i2i−2i−2i2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ792-2-2-222-22-2-200002-2000022-22-2-2-2-20000000022220000-22-222-20000000000002-2-22-222-2000000002-2-22-222-2000000000000
χ802-2-2-222-22-2-200002-2000022-22-2-2-2-20000000022220000-22-222-2000000000000-222-22-2-2200000000-222-22-2-22000000000000
χ812-2-2-222-22-2-20000-220000222-2222200000000-2-2-2-200002-2-222-20000000000002i−2i−2i2i−2i2i2i−2i00000000−2i2i2i−2i2i−2i−2i2i000000000000
χ822-2-2-222-22-2-20000-220000222-2222200000000-2-2-2-200002-2-222-2000000000000−2i2i2i−2i2i−2i−2i2i000000002i−2i−2i2i−2i2i2i−2i000000000000
χ832-2-2-222-22-2-20000-220000222-2-2-2-2-200000000222200002-22-2-2200002-2-222-2-2200000000-222-2-222-200000000000000000000
χ842-2-2-222-22-2-20000-220000222-2-2-2-2-200000000222200002-22-2-220000-222-2-222-2000000002-2-222-2-2200000000000000000000
χ8544-44-4-4-44004i−4i−4i4i000000000022−22−22222i22i2−2i2−2i2−2i2−2i22i22i222−22−22220000000000000000000000000000000000000000000000000000000000
χ8644-44-4-4-44004i−4i−4i4i0000000000−222222−22−2i2−2i22i22i22i22i2−2i2−2i2−222222−220000000000000000000000000000000000000000000000000000000000
χ8744-44-4-4-4400−4i4i4i−4i000000000022−22−2222−2i2−2i22i22i22i22i2−2i2−2i222−22−22220000000000000000000000000000000000000000000000000000000000
χ8844-44-4-4-4400−4i4i4i−4i0000000000−222222−222i22i2−2i2−2i2−2i2−2i22i22i2−222222−220000000000000000000000000000000000000000000000000000000000
χ8944-4-4-444-4-444i−4i4i−4i00−4i−4i4i4i-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-444-4-44−4i4i−4i4i004i4i−4i−4i-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ914-444-44-4-44-40000000000-440000004-4-44-444-400000000000000000000000000000000000000000000000000000000000000
χ924-444-44-4-44-40000000000-44000000-444-44-4-4400000000000000000000000000000000000000000000000000000000000000
χ934-444-44-4-4-4400000000004-4004-44-400000000-44-440000000000000000000000000000000000000000000000000000000000
χ944-444-44-4-4-4400000000004-400-44-44000000004-44-40000000000000000000000000000000000000000000000000000000000
χ954-44-4-4-444000000004-4-44000022−22−222222−22−222222−22−2222−222222−220000000000000000000000000000000000000000000000000000000000
χ964-44-4-4-444000000004-4-440000−222222−22−222222−22−222222−2222−22−22220000000000000000000000000000000000000000000000000000000000
χ974-44-4-4-44400000000-444-4000022−22−2222−222222−22−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ984-44-4-4-44400000000-444-40000−222222−2222−22−222222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000

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