Finite Group Databasebeta

← Group #136995

Character table — Group #136995

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488881616161616161616161616161616161644444488881616161616161616444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ91-1-111-11-1-1-11-1-11111111-1-1-1-11-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1ii−i−i11-1-1iiii−i−i−i−ii−iii−i−i11-1-11-1
χ101-1-111-11-1-1-11-1-11111111-1-1-1-11-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1−i−iii11-1-1iiii−i−i−i−i−ii−i−iii-1-111-11
χ111-1-111-11-1-1-11-1-11111111-1-1-1-11-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1ii−i−i11-1-1−i−i−i−iiiiii−iii−i−i-1-111-11
χ121-1-111-11-1-1-11-1-11111111-1-1-1-11-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−iii11-1-1−i−i−i−iiiii−ii−i−iii11-1-11-1
χ131-1-111-11-1-1-11-1-11111111-1-1-1-11-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11ii−i−i-1-111−i−i−i−iiiiii−i−i−iii11-1-1-11
χ141-1-111-11-1-1-11-1-11111111-1-1-1-11-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−iii-1-111−i−i−i−iiiii−iiii−i−i-1-1111-1
χ151-1-111-11-1-1-11-1-11111111-1-1-1-11-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11ii−i−i-1-111iiii−i−i−i−ii−i−i−iii-1-1111-1
χ161-1-111-11-1-1-11-1-11111111-1-1-1-11-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11−i−iii-1-111iiii−i−i−i−i−iiii−i−i11-1-1-11
χ172222222222222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000220000-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000000000000-2-20000222200000000000000000000
χ192222222222-2-2-222-222222222-2-20000-2-2-2-20000000000000000002222000000000000-2-20000000000
χ202222222222-2-2-222-222222222-2-20000-2-2-2-2000000000000000000-2-2-2-2000000000000220000000000
χ212222222222-2-2-222-2-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000000000002-22-2000000
χ222222222222-2-2-222-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000-22-22000000
χ2322222222-2-2222-2-2200000000-2-2222200002222−2−2−2−22222−2−2−2−2-2-20000000022−2−222−2−2000000000000
χ2422222222-2-2222-2-2200000000-2-222220000−2−2−2−22222−2−2−2−22222-2-200000000−2−222−2−222000000000000
χ2522222222-2-2222-2-2200000000-2-2-2-2-2-200002222−2−2−2−22222−2−2−2−22200000000−2−222−2−222000000000000
χ2622222222-2-2222-2-2200000000-2-2-2-2-2-20000−2−2−2−22222−2−2−2−22222220000000022−2−222−2−2000000000000
χ27222-2-2-22-200-22-200222−2−22−22−2002-22-22−22−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ50000002−22−2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ28222-2-2-22-200-22-200222−2−22−22−2002-22-22−22−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ50000002−22−2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ29222-2-2-22-200-22-200222−2−22−22−200-22-222−22−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000−22−22−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ30222-2-2-22-200-22-200222−2−22−22−200-22-222−22−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000−22−22ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ31222-2-2-22-200-22-2002−2−222−22−22002-22-2−22−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000−22−22ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ32222-2-2-22-200-22-2002−2−222−22−22002-22-2−22−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000−22−22−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ33222-2-2-22-200-22-2002−2−222−22−2200-22-22−22−22ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ70000002−22−2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ34222-2-2-22-200-22-2002−2−222−22−2200-22-22−22−22−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ70000002−22−2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ3522-22-22-2-22-20002-202-22-222-2-200000000002−22−22−22−22−22−22−22−2002-22-20000000000000000002−22−200
χ3622-22-22-2-22-20002-202-22-222-2-200000000002−22−22−22−22−22−22−22−200-22-22000000000000000000−22−2200
χ3722-22-22-2-22-20002-202-22-222-2-20000000000−22−22−22−22−22−22−22−22002-22-2000000000000000000−22−2200
χ3822-22-22-2-22-20002-202-22-222-2-20000000000−22−22−22−22−22−22−22−2200-22-220000000000000000002−22−200
χ392-222-2-2-22-220002-202-22-2-2-2220000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2002i−2i−2i2i0000000000000000002−2−2200
χ402-222-2-2-22-220002-202-22-2-2-2220000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200−2i2i2i−2i000000000000000000−222−200
χ412-222-2-2-22-220002-202-22-2-2-2220000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2002i−2i−2i2i000000000000000000−222−200
χ422-222-2-2-22-220002-202-22-2-2-2220000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200−2i2i2i−2i0000000000000000002−2−2200
χ432-2-222-22-2222-2-2-2-2200000000-2222-2-20000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-2200000000i2i2−i2−i2−i2−i2i2i2000000000000
χ442-2-222-22-2222-2-2-2-2200000000-2222-2-20000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-2200000000−i2−i2i2i2i2i2−i2−i2000000000000
χ452-2-222-22-2222-2-2-2-2200000000-22-2-2220000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22-200000000−i2−i2i2i2i2i2−i2−i2000000000000
χ462-2-222-22-2222-2-2-2-2200000000-22-2-2220000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22-200000000i2i2−i2−i2−i2−i2i2i2000000000000
χ472-2-222-22-2-2-22-2-2222-2-2-2-222222-222-2-2-2-22200000000000000002-20000-2-22200000000000000000000
χ482-2-222-22-2-2-22-2-2222-2-2-2-222222-2-2-222-2-2220000000000000000-22000022-2-200000000000000000000
χ492-2-222-22-2-2-2-22222-22222-2-2-2-2-220000-2-2220000000000000000002i2i−2i−2i000000000000−2i2i0000000000
χ502-2-222-22-2-2-2-22222-22222-2-2-2-2-220000-2-222000000000000000000−2i−2i2i2i0000000000002i−2i0000000000
χ512-2-222-22-2-2-2-22222-2-2-2-2-22222-22000022-2-20000000000000000000000000000000000002i−2i−2i2i000000
χ522-2-222-22-2-2-2-22222-2-2-2-2-22222-22000022-2-2000000000000000000000000000000000000−2i2i2i−2i000000
χ532-2-2-2-222200-2-2200222−2−2−22−22002-2-222−2−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ70000002−2−22ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ542-2-2-2-222200-2-2200222−2−2−22−22002-2-222−2−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ70000002−2−22−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ552-2-2-2-222200-2-2200222−2−2−22−2200-222-22−2−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000−222−2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000000000
χ562-2-2-2-222200-2-2200222−2−2−22−2200-222-22−2−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000−222−2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000000000
χ572-2-2-2-222200-2-22002−2−2222−22−2002-2-22−222−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000−222−2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ582-2-2-2-222200-2-22002−2−2222−22−2002-2-22−222−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000−222−2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ592-2-2-2-222200-2-22002−2−2222−22−200-222-2−222−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ50000002−2−22−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ602-2-2-2-222200-2-22002−2−2222−22−200-222-2−222−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ50000002−2−22ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ6144444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000000000000
χ62444-4-4-44-4004-4400-42222−22−2222−2222−22000000−2222−22220000000000000000000000000000000000000000000000
χ63444-4-4-44-4004-4400-4−22−222222−2222−222200000022−2222−220000000000000000000000000000000000000000000000
χ6444-44-44-4-44-40004-40-44-44-4-44400000000000000000000000000000000000000000000000000000000
χ6544-44-44-4-4-44000-4400000000000000000002-22-2-22-222-22-2-22-22000000000000000000000000000000
χ6644-44-44-4-4-44000-440000000000000000000-22-222-22-2-22-222-22-2000000000000000000000000000000
χ6744-4-44-4-440000000022−22−222222−22−22220000000000ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7000000000000000000000000000000
χ6844-4-44-4-440000000022−22−222222−22−22220000000000−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7000000000000000000000000000000
χ6944-4-44-4-4400000000−222222−22−222222−220000000000ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7000000000000000000000000000000
χ7044-4-44-4-4400000000−222222−22−222222−220000000000−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7000000000000000000000000000000
χ714-444-4-4-444-4000-4400000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ724-444-4-4-444-4000-440000000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ734-444-4-4-44-440004-40-44-4444-4-400000000000000000000000000000000000000000000000000000000
χ744-44-444-4-40000000022−22−2222−222222−220000000000ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7000000000000000000000000000000
χ754-44-444-4-40000000022−22−2222−222222−220000000000−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7000000000000000000000000000000
χ764-44-444-4-400000000−222222−2222−22−22220000000000ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7000000000000000000000000000000
χ774-44-444-4-400000000−222222−2222−22−22220000000000−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7000000000000000000000000000000
χ784-4-444-44-444-444-4-4-4000000004-4000000000000000000000000000000000000000000000000000000
χ794-4-4-4-44440044-400-42222−22−22−2222−2222000000−222222−220000000000000000000000000000000000000000000000
χ804-4-4-4-44440044-400-4−22−22222222−2222−2200000022−22−22220000000000000000000000000000000000000000000000

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