Finite Group Databasebeta

← Group #11772355

Character table — Group #11772355

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222244444444444444444444888888888888888888888888999999991818181818181818181818181818181818181818363636363636363636363636
order1244888824883366121212121616161624242424242424246612122424242448484848484848484848484848484848224488882488161616161616161616161616161616164444888816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii-1-1-1-1
χ511111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii1111
χ811111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i1111
χ91111-1-1-1-111-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i
χ101111-1-1-1-111-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−i
χ111111-1-1-1-111-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iii
χ121111-1-1-1-111-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iii
χ131111-1-1-1-111-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii
χ141111-1-1-1-111-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii
χ151111-1-1-1-111-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i
χ161111-1-1-1-111-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i
χ1711-1-1ii−i−i-11i−i1111-1-1-1-1ζ2−ζ2ζ6−ζ6iiii−i−i−i−i-1-111ii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ611-1-1ii−i−i-11i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-11-1i−ii−iζ2−ζ2ζ6−ζ6
χ1811-1-1ii−i−i-11i−i1111-1-1-1-1ζ2−ζ2ζ6−ζ6iiii−i−i−i−i-1-111ii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ611-1-1ii−i−i-11i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11-11−ii−iiζ2−ζ2ζ6−ζ6
χ1911-1-1ii−i−i-11i−i1111-1-1-1-1ζ2−ζ2ζ6−ζ6iiii−i−i−i−i-1-111ii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-1-111−i−iii1-1−iiζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2i−i−ii-111-1−ζ2ζ2−ζ6ζ6
χ2011-1-1ii−i−i-11i−i1111-1-1-1-1ζ2−ζ2ζ6−ζ6iiii−i−i−i−i-1-111ii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-1-111−i−iii1-1−ii−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−iii−i1-1-11−ζ2ζ2−ζ6ζ6
χ2111-1-1ii−i−i-11i−i1111-1-1-1-1−ζ2ζ2−ζ6ζ6iiii−i−i−i−i-1-111ii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ611-1-1ii−i−i-11i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11-11−ii−ii−ζ2ζ2−ζ6ζ6
χ2211-1-1ii−i−i-11i−i1111-1-1-1-1−ζ2ζ2−ζ6ζ6iiii−i−i−i−i-1-111ii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ611-1-1ii−i−i-11i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-11-1i−ii−i−ζ2ζ2−ζ6ζ6
χ2311-1-1ii−i−i-11i−i1111-1-1-1-1−ζ2ζ2−ζ6ζ6iiii−i−i−i−i-1-111ii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-1-111−i−iii1-1−iiζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2−iii−i1-1-11ζ2−ζ2ζ6−ζ6
χ2411-1-1ii−i−i-11i−i1111-1-1-1-1−ζ2ζ2−ζ6ζ6iiii−i−i−i−i-1-111ii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-1-111−i−iii1-1−ii−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2i−i−ii-111-1ζ2−ζ2ζ6−ζ6
χ2511-1-1−i−iii-11−ii1111-1-1-1-1ζ6−ζ6ζ2−ζ2−i−i−i−iiiii-1-111−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ211-1-1−i−iii-11−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-11-1−ii−iiζ6−ζ6ζ2−ζ2
χ2611-1-1−i−iii-11−ii1111-1-1-1-1ζ6−ζ6ζ2−ζ2−i−i−i−iiiii-1-111−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ211-1-1−i−iii-11−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11-11i−ii−iζ6−ζ6ζ2−ζ2
χ2711-1-1−i−iii-11−ii1111-1-1-1-1ζ6−ζ6ζ2−ζ2−i−i−i−iiiii-1-111−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-1-111ii−i−i1-1i−iζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6−iii−i-111-1−ζ6ζ6−ζ2ζ2
χ2811-1-1−i−iii-11−ii1111-1-1-1-1ζ6−ζ6ζ2−ζ2−i−i−i−iiiii-1-111−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-1-111ii−i−i1-1i−i−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6i−i−ii1-1-11−ζ6ζ6−ζ2ζ2
χ2911-1-1−i−iii-11−ii1111-1-1-1-1−ζ6ζ6−ζ2ζ2−i−i−i−iiiii-1-111−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ211-1-1−i−iii-11−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11-11i−ii−i−ζ6ζ6−ζ2ζ2
χ3011-1-1−i−iii-11−ii1111-1-1-1-1−ζ6ζ6−ζ2ζ2−i−i−i−iiiii-1-111−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ211-1-1−i−iii-11−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-11-1−ii−ii−ζ6ζ6−ζ2ζ2
χ3111-1-1−i−iii-11−ii1111-1-1-1-1−ζ6ζ6−ζ2ζ2−i−i−i−iiiii-1-111−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-1-111ii−i−i1-1i−iζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6i−i−ii1-1-11ζ6−ζ6ζ2−ζ2
χ3211-1-1−i−iii-11−ii1111-1-1-1-1−ζ6ζ6−ζ2ζ2−i−i−i−iiiii-1-111−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-1-111ii−i−i1-1i−i−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−iii−i-111-1ζ6−ζ6ζ2−ζ2
χ3322222222-2-2-2-222222222000022222222-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-20000000000000000000000000000
χ3422222222-2-2-2-222222222000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-222220000000000000000000000000000
χ352222-2-2-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002222-2-2-2-2-2-2220000000000000000000000000000
χ362222-2-2-2-2-2-222222222220000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-2222222-2-20000000000000000000000000000
χ3722-2-22i2i−2i−2i2-2−2i2i2222-2-2-2-200002i2i2i2i−2i−2i−2i−2i22-2-2−2i−2i2i2i000000000000000022-2-22i2i−2i−2i2-2−2i2i0000000000000000000000000000
χ3822-2-22i2i−2i−2i2-2−2i2i2222-2-2-2-200002i2i2i2i−2i−2i−2i−2i22-2-2−2i−2i2i2i0000000000000000-2-222−2i−2i2i2i-222i−2i0000000000000000000000000000
χ3922-2-2−2i−2i2i2i2-22i−2i2222-2-2-2-20000−2i−2i−2i−2i2i2i2i2i22-2-22i2i−2i−2i000000000000000022-2-2−2i−2i2i2i2-22i−2i0000000000000000000000000000
χ4022-2-2−2i−2i2i2i2-22i−2i2222-2-2-2-20000−2i−2i−2i−2i2i2i2i2i22-2-22i2i−2i−2i0000000000000000-2-2222i2i−2i−2i-22−2i2i0000000000000000000000000000
χ412-22i−2i2ζ2−2ζ22ζ6−2ζ6000022-2-22i2i−2i−2i00002ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ60000000000000000000000002-22i−2i2ζ2−2ζ22ζ6−2ζ60000ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5000000000000
χ422-22i−2i2ζ2−2ζ22ζ6−2ζ6000022-2-22i2i−2i−2i00002ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ60000000000000000000000002-22i−2i2ζ2−2ζ22ζ6−2ζ60000−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5000000000000
χ432-22i−2i2ζ2−2ζ22ζ6−2ζ6000022-2-22i2i−2i−2i00002ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6000000000000000000000000-22−2i2i−2ζ22ζ2−2ζ62ζ60000ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5000000000000
χ442-22i−2i2ζ2−2ζ22ζ6−2ζ6000022-2-22i2i−2i−2i00002ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6000000000000000000000000-22−2i2i−2ζ22ζ2−2ζ62ζ60000−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5000000000000
χ452-22i−2i−2ζ22ζ2−2ζ62ζ6000022-2-22i2i−2i−2i0000−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ60000000000000000000000002-22i−2i−2ζ22ζ2−2ζ62ζ60000ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5000000000000
χ462-22i−2i−2ζ22ζ2−2ζ62ζ6000022-2-22i2i−2i−2i0000−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ60000000000000000000000002-22i−2i−2ζ22ζ2−2ζ62ζ60000−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5000000000000
χ472-22i−2i−2ζ22ζ2−2ζ62ζ6000022-2-22i2i−2i−2i0000−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6000000000000000000000000-22−2i2i2ζ2−2ζ22ζ6−2ζ60000ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5000000000000
χ482-22i−2i−2ζ22ζ2−2ζ62ζ6000022-2-22i2i−2i−2i0000−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6000000000000000000000000-22−2i2i2ζ2−2ζ22ζ6−2ζ60000−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5000000000000
χ492-2−2i2i2ζ6−2ζ62ζ2−2ζ2000022-2-2−2i−2i2i2i00002ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ20000000000000000000000002-2−2i2i2ζ6−2ζ62ζ2−2ζ20000ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7000000000000
χ502-2−2i2i2ζ6−2ζ62ζ2−2ζ2000022-2-2−2i−2i2i2i00002ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ20000000000000000000000002-2−2i2i2ζ6−2ζ62ζ2−2ζ20000−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7000000000000
χ512-2−2i2i2ζ6−2ζ62ζ2−2ζ2000022-2-2−2i−2i2i2i00002ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2000000000000000000000000-222i−2i−2ζ62ζ6−2ζ22ζ20000ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7000000000000
χ522-2−2i2i2ζ6−2ζ62ζ2−2ζ2000022-2-2−2i−2i2i2i00002ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2000000000000000000000000-222i−2i−2ζ62ζ6−2ζ22ζ20000−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7000000000000
χ532-2−2i2i−2ζ62ζ6−2ζ22ζ2000022-2-2−2i−2i2i2i0000−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ20000000000000000000000002-2−2i2i−2ζ62ζ6−2ζ22ζ20000ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7000000000000
χ542-2−2i2i−2ζ62ζ6−2ζ22ζ2000022-2-2−2i−2i2i2i0000−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ20000000000000000000000002-2−2i2i−2ζ62ζ6−2ζ22ζ20000−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7000000000000
χ552-2−2i2i−2ζ62ζ6−2ζ22ζ2000022-2-2−2i−2i2i2i0000−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ2000000000000000000000000-222i−2i2ζ6−2ζ62ζ2−2ζ20000ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7000000000000
χ562-2−2i2i−2ζ62ζ6−2ζ22ζ2000022-2-2−2i−2i2i2i0000−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ2000000000000000000000000-222i−2i2ζ6−2ζ62ζ2−2ζ20000−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7000000000000
χ574444444444441-21-21-21-244441-21-21-21-21-21-21-21-211-2-211-2-211-2-211-2-20000000000000000000000000000000000000000
χ584444444444441-21-21-21-2-4-4-4-41-21-21-21-21-21-21-21-2-1-122-1-122-1-122-1-1220000000000000000000000000000000000000000
χ59444444444444-21-21-21-214444-21-21-21-21-21-21-21-21-2-211-2-211-2-211-2-2110000000000000000000000000000000000000000
χ60444444444444-21-21-21-21-4-4-4-4-21-21-21-21-21-21-21-2122-1-122-1-122-1-122-1-10000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.