Finite Group Databasebeta

← Group #140113

Character table — Group #140113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222222222224444444444444444888888888888888888888888888888881616161616161616
order124488882224444444888888888816161616161616164488161616161616161616161616444488888888888816161616161616161616161616161616248816161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ91111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111iiii−i−i−i−i-1-111iiiiii−i−i−i−i−i−i1111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i
χ101111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111iiii−i−i−i−i-1-111iiiiii−i−i−i−i−i−i1111−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-111−i−iii
χ111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111iiii−i−i−i−i-1-111iiiiii−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i1111−i−i−i−iiiii1111-1-1-1-1-1-111−i−iii
χ121111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111iiii−i−i−i−i-1-111iiiiii−i−i−i−i−i−i-1-1-1-1−i−i−i−iiiii1111−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i
χ131111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−i−i−i−i−iiiiiii1111iiii−i−i−i−i-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-111ii−i−i
χ141111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−i−i−i−i−iiiiiii1111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii
χ151111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−i−i−i−i−iiiiiii-1-1-1-1iiii−i−i−i−i1111iiii−i−i−i−i-1-1-1-1111111-1-1−i−iii
χ161111-1-1-1-111111-1-1-1-11-1-1-1-1-1-11111−i−i−i−iiiii-1-111−i−i−i−i−i−iiiiiii-1-1-1-1−i−i−i−iiiii1111iiii−i−i−i−i1111-1-1-1-1-1-111ii−i−i
χ1711-1-1ii−i−i1-1-1-11ii−i−i1i−iii−i−i11-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6i−i1-1ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6−ζ6−ζ6−ζ6ii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ii−i−i11-1-11-1i−iζ2−ζ2ζ6−ζ6
χ1811-1-1ii−i−i1-1-1-11ii−i−i1i−iii−i−i11-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6i−i1-1ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6−ζ6−ζ6−ζ6ii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−i−iii-1-111-11−ii−ζ2ζ2−ζ6ζ6
χ1911-1-1ii−i−i1-1-1-11ii−i−i1i−iii−i−i11-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6i−i1-1ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6−ζ6−ζ6−ζ6−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-111−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ii−i−i11-1-1-11−ii−ζ2ζ2−ζ6ζ6
χ2011-1-1ii−i−i1-1-1-11ii−i−i1i−iii−i−i11-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6i−i1-1ζ2ζ2ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6−ζ6−ζ6−ζ6−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-111−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−i−iii-1-1111-1i−iζ2−ζ2ζ6−ζ6
χ2111-1-1ii−i−i1-1-1-11ii−i−i1i−iii−i−i11-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6i−i1-1−ζ2−ζ2−ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6ζ6ζ6ζ6ii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−i−iii-1-111-11−iiζ2−ζ2ζ6−ζ6
χ2211-1-1ii−i−i1-1-1-11ii−i−i1i−iii−i−i11-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6i−i1-1−ζ2−ζ2−ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6ζ6ζ6ζ6ii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ii−i−i11-1-11-1i−i−ζ2ζ2−ζ6ζ6
χ2311-1-1ii−i−i1-1-1-11ii−i−i1i−iii−i−i11-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6i−i1-1−ζ2−ζ2−ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6ζ6ζ6ζ6−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-111ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−i−iii-1-1111-1i−i−ζ2ζ2−ζ6ζ6
χ2411-1-1ii−i−i1-1-1-11ii−i−i1i−iii−i−i11-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6i−i1-1−ζ2−ζ2−ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6ζ6ζ6ζ6−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-111ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ii−i−i11-1-1-11−iiζ2−ζ2ζ6−ζ6
χ2511-1-1−i−iii1-1-1-11−i−iii1−ii−i−iii11-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ii1-1ζ6ζ6ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2−ζ2−ζ2−ζ2ii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-111−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−i−iii11-1-1-11i−i−ζ6ζ6−ζ2ζ2
χ2611-1-1−i−iii1-1-1-11−i−iii1−ii−i−iii11-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ii1-1ζ6ζ6ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2−ζ2−ζ2−ζ2ii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-111−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ii−i−i-1-1111-1−iiζ6−ζ6ζ2−ζ2
χ2711-1-1−i−iii1-1-1-11−i−iii1−ii−i−iii11-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ii1-1ζ6ζ6ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2−ζ2−ζ2−ζ2−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−i−iii11-1-11-1−iiζ6−ζ6ζ2−ζ2
χ2811-1-1−i−iii1-1-1-11−i−iii1−ii−i−iii11-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ii1-1ζ6ζ6ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2−ζ2−ζ2−ζ2−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ii−i−i-1-111-11i−i−ζ6ζ6−ζ2ζ2
χ2911-1-1−i−iii1-1-1-11−i−iii1−ii−i−iii11-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ii1-1−ζ6−ζ6−ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2ζ2ζ2ζ2ii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-111ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ii−i−i-1-1111-1−ii−ζ6ζ6−ζ2ζ2
χ3011-1-1−i−iii1-1-1-11−i−iii1−ii−i−iii11-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ii1-1−ζ6−ζ6−ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2ζ2ζ2ζ2ii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-111ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−i−iii11-1-1-11i−iζ6−ζ6ζ2−ζ2
χ3111-1-1−i−iii1-1-1-11−i−iii1−ii−i−iii11-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ii1-1−ζ6−ζ6−ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2ζ2ζ2ζ2−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ii−i−i-1-111-11i−iζ6−ζ6ζ2−ζ2
χ3211-1-1−i−iii1-1-1-11−i−iii1−ii−i−iii11-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ii1-1−ζ6−ζ6−ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2ζ2ζ2ζ2−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−i−iii11-1-11-1−ii−ζ6ζ6−ζ2ζ2
χ332222222222222-2-2-2-22222222-2-2-2-222222222-2-2-2-22-2-22-2-22-2-22-2-20000000000000000000000000000000000000000
χ342222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-222-222-2220000000000000000000000000000000000000000
χ3522222222-22-2-222222-222-2-2-2-2222200000000-2-2-2-200000000000000000000000000002-22-22-22-20000000000000000
χ3622222222-22-2-222222-222-2-2-2-2222200000000-2-2-2-20000000000000000000000000000-22-22-22-220000000000000000
χ3722222222-22-2-22-2-2-2-2-222-2-2-2-2-2-2-2-20000000022220000000000002i−2i2i−2i000000002i−2i2i−2i000000000000000000000000
χ3822222222-22-2-22-2-2-2-2-222-2-2-2-2-2-2-2-2000000002222000000000000−2i2i−2i2i00000000−2i2i−2i2i000000000000000000000000
χ3922222222-2-22-2-200002-2-22-22-20000222222220000-200-200-200-20000002−22−22−22−20000000000002−22−22−22−200000000
χ4022222222-2-22-2-200002-2-22-22-20000222222220000-200-200-200-2000000−22−22−22−22000000000000−22−22−22−2200000000
χ4122222222-2-22-2-200002-2-22-22-20000-2-2-2-2-2-2-2-2000020020020020000002−22−22−22−2000000000000−22−22−22−2200000000
χ4222222222-2-22-2-200002-2-22-22-20000-2-2-2-2-2-2-2-200002002002002000000−22−22−22−220000000000002−22−22−22−200000000
χ432222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-22i−2i−2i2i−2i−2i−2i2i2i−2i2i2i0000000000000000000000000000000000000000
χ442222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-2−2i2i2i−2i2i2i2i−2i−2i2i−2i−2i0000000000000000000000000000000000000000
χ452222-2-2-2-2-22-2-222222-2-2-22222-2-2-2-200000000-2-2220000000000002i−2i2i−2i00000000−2i2i−2i2i000000000000000000000000
χ462222-2-2-2-2-22-2-222222-2-2-22222-2-2-2-200000000-2-222000000000000−2i2i−2i2i000000002i−2i2i−2i000000000000000000000000
χ472222-2-2-2-2-22-2-22-2-2-2-2-2-2-2222222220000000022-2-200000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ482222-2-2-2-2-22-2-22-2-2-2-2-2-2-2222222220000000022-2-20000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ492222-2-2-2-2-2-22-2-20000222-22-2200002i2i2i2i−2i−2i−2i−2i0000−2i00−2i002i002i000000i2−i2i2−i2−i2i2−i2i20000000000002−22−2−22−2200000000
χ502222-2-2-2-2-2-22-2-20000222-22-2200002i2i2i2i−2i−2i−2i−2i0000−2i00−2i002i002i000000−i2i2−i2i2i2−i2i2−i2000000000000−22−222−22−200000000
χ512222-2-2-2-2-2-22-2-20000222-22-220000−2i−2i−2i−2i2i2i2i2i00002i002i00−2i00−2i000000i2−i2i2−i2−i2i2−i2i2000000000000−22−222−22−200000000
χ522222-2-2-2-2-2-22-2-20000222-22-220000−2i−2i−2i−2i2i2i2i2i00002i002i00−2i00−2i000000−i2i2−i2i2i2−i2i2−i20000000000002−22−2−22−2200000000
χ5322-2-22i2i−2i−2i2-2-2-22−2i−2i2i2i22i−2i2i2i−2i−2i-2-2222ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6−2i2i-222ζ2−2ζ2−2ζ2−2ζ22ζ22ζ22ζ6−2ζ6−2ζ6−2ζ62ζ62ζ60000000000000000000000000000000000000000
χ5422-2-22i2i−2i−2i2-2-2-22−2i−2i2i2i22i−2i2i2i−2i−2i-2-222−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6−2i2i-22−2ζ22ζ22ζ22ζ2−2ζ2−2ζ2−2ζ62ζ62ζ62ζ6−2ζ6−2ζ60000000000000000000000000000000000000000
χ5522-2-22i2i−2i−2i-22-22-200002−2i2i2i−2i−2i2i00002ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ60000−2ζ2002ζ200−2ζ6002ζ60000001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000−i2i2i2−i2−222−200000000
χ5622-2-22i2i−2i−2i-22-22-200002−2i2i2i−2i−2i2i00002ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ60000−2ζ2002ζ200−2ζ6002ζ6000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000i2−i2−i2i22−2−2200000000
χ5722-2-22i2i−2i−2i-22-22-200002−2i2i2i−2i−2i2i0000−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ600002ζ200−2ζ2002ζ600−2ζ60000001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000i2−i2−i2i22−2−2200000000
χ5822-2-22i2i−2i−2i-22-22-200002−2i2i2i−2i−2i2i0000−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ600002ζ200−2ζ2002ζ600−2ζ6000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000−i2i2i2−i2−222−200000000
χ5922-2-22i2i−2i−2i-2-22222i2i−2i−2i-22i−2i−2i−2i2i2i22-2-200000000−2i2i-2200000000000000000000000000002ζ6−2ζ6−2ζ62ζ62ζ2−2ζ2−2ζ22ζ20000000000000000
χ6022-2-22i2i−2i−2i-2-22222i2i−2i−2i-22i−2i−2i−2i2i2i22-2-200000000−2i2i-220000000000000000000000000000−2ζ62ζ62ζ6−2ζ6−2ζ22ζ22ζ2−2ζ20000000000000000
χ6122-2-22i2i−2i−2i-2-2222−2i−2i2i2i-22i−2i−2i−2i2i2i-2-222000000002i−2i2-20000000000002-2-2200000000−2i2i2i−2i000000000000000000000000
χ6222-2-22i2i−2i−2i-2-2222−2i−2i2i2i-22i−2i−2i−2i2i2i-2-222000000002i−2i2-2000000000000-222-2000000002i−2i−2i2i000000000000000000000000
χ6322-2-2−2i−2i2i2i2-2-2-222i2i−2i−2i2−2i2i−2i−2i2i2i-2-2222ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ22i−2i-222ζ6−2ζ6−2ζ6−2ζ62ζ62ζ62ζ2−2ζ2−2ζ2−2ζ22ζ22ζ20000000000000000000000000000000000000000
χ6422-2-2−2i−2i2i2i2-2-2-222i2i−2i−2i2−2i2i−2i−2i2i2i-2-222−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ22i−2i-22−2ζ62ζ62ζ62ζ6−2ζ6−2ζ6−2ζ22ζ22ζ22ζ2−2ζ2−2ζ20000000000000000000000000000000000000000
χ6522-2-2−2i−2i2i2i-22-22-2000022i−2i−2i2i2i−2i00002ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ20000−2ζ6002ζ600−2ζ2002ζ20000001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000−i2i2i2−i22−2−2200000000
χ6622-2-2−2i−2i2i2i-22-22-2000022i−2i−2i2i2i−2i00002ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ20000−2ζ6002ζ600−2ζ2002ζ2000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000i2−i2−i2i2−222−200000000
χ6722-2-2−2i−2i2i2i-22-22-2000022i−2i−2i2i2i−2i0000−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ200002ζ600−2ζ6002ζ200−2ζ20000001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000i2−i2−i2i2−222−200000000
χ6822-2-2−2i−2i2i2i-22-22-2000022i−2i−2i2i2i−2i0000−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ200002ζ600−2ζ6002ζ200−2ζ2000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000−i2i2i2−i22−2−2200000000
χ6922-2-2−2i−2i2i2i-2-22222i2i−2i−2i-2−2i2i2i2i−2i−2i-2-22200000000−2i2i2-20000000000002-2-22000000002i−2i−2i2i000000000000000000000000
χ7022-2-2−2i−2i2i2i-2-22222i2i−2i−2i-2−2i2i2i2i−2i−2i-2-22200000000−2i2i2-2000000000000-222-200000000−2i2i2i−2i000000000000000000000000
χ7122-2-2−2i−2i2i2i-2-2222−2i−2i2i2i-2−2i2i2i2i−2i−2i22-2-2000000002i−2i-2200000000000000000000000000002ζ2−2ζ2−2ζ22ζ22ζ6−2ζ6−2ζ62ζ60000000000000000
χ7222-2-2−2i−2i2i2i-2-2222−2i−2i2i2i-2−2i2i2i2i−2i−2i22-2-2000000002i−2i-220000000000000000000000000000−2ζ22ζ22ζ2−2ζ2−2ζ62ζ62ζ6−2ζ60000000000000000
χ73444444444-4-44-40000-4-4-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ744444-4-4-4-44-4-44-40000-4444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ7544-4-44i4i−4i−4i444-4-40000-4−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ7644-4-4−4i−4i4i4i444-4-40000-44i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
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χ904-4−4i4i−4ζ64ζ6−4ζ24ζ2000002−2i−2+2i2+2i−2−2i000000022−22−2i22i2−2ζ−2ζ52ζ+2ζ52ζ−2ζ5−2ζ+2ζ52ζ3−2ζ7−2ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ700000−2ζ32ζ30−2ζ72ζ70−2ζ2ζ0−2ζ52ζ50000000000000000000000000000000000000000
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χ924-4−4i4i−4ζ64ζ6−4ζ24ζ200000−2+2i2−2i−2−2i2+2i0000000−22222i2−2i2−2ζ−2ζ52ζ+2ζ52ζ−2ζ5−2ζ+2ζ52ζ3−2ζ7−2ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7000002ζ3−2ζ302ζ7−2ζ702ζ−2ζ02ζ5−2ζ50000000000000000000000000000000000000000

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