Finite Group Databasebeta

← Group #13138878

Character table — Group #13138878

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222222222222222226666666666666666121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order124488882346668812121212242424242424242433661212121224242424242424243666661212121212122424242424242424242424244444888812121212121212122424242424242424224466668888121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111
χ51111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111
χ61111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1
χ71111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ81111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ911-1-1ii−i−i-1111-1-1i−i-1-111iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1-1-1-111111-1-1ii−i−iiiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-111-1-11111i−ii−i-1-1-1-1ii−i−iii−i−i
χ1011-1-1ii−i−i-1111-1-1i−i-1-111iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1-1-1-111111-1-1ii−i−iiiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-1−ii−ii1111−i−iii−i−iii
χ1111-1-1ii−i−i-1111-1-1i−i-1-111iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1-1-1-111111-1-1ii−i−iiiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-1-1111-1-1i−i−ii-1-111ii−i−i−i−iii
χ1211-1-1ii−i−i-1111-1-1i−i-1-111iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1-1-1-111111-1-1ii−i−iiiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-111-1-1-111−iii−i11-1-1−i−iiiii−i−i
χ1311-1-1−i−iii-1111-1-1−ii-1-111−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1-1-1-111111-1-1−i−iii−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-1-1111-1-1−iii−i-1-111−i−iiiii−i−i
χ1411-1-1−i−iii-1111-1-1−ii-1-111−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1-1-1-111111-1-1−i−iii−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii
χ1511-1-1−i−iii-1111-1-1−ii-1-111−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1-1-1-111111-1-1−i−iii−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-111-1-11111−ii−ii-1-1-1-1−i−iii−i−iii
χ1611-1-1−i−iii-1111-1-1−ii-1-111−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1-1-1-111111-1-1−i−iii−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i
χ1722222222222222222222222222222-12-122-1-122-1-122-1-1-12-1-1-1-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1000000000000000000000000020200-1-1002200-1-10000-1-1-1-1
χ1822222222222222222222222222222-12-122-1-122-1-122-1-1-12-1-1-1-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-10000000000000000000000000-20-2001100-2-2001100001111
χ192222222222222222222222222222-12-12-1-122-1-122-1-122-1-12-1-1-1-12-1-1-1-1-12-12-1-1-1-1-1-1-1-10000000000000000000000002020-1-1002200-1-100-1-1-1-10000
χ202222222222222222222222222222-12-12-1-122-1-122-1-122-1-12-1-1-1-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1000000000000000000000000-20-201100-2-200110011110000
χ2122222222-22-22-2-2-2-222-2-222-2-222-2-222222222222222222-2-2-2-22-2-2-2-222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ2222222222-22-22-2-2-2-222-2-222-2-222-2-22-12-122-1-122-1-122-1-1-1-2111-1-2111-1-1-21-21-1-111-1-111000000000000000000000000000000−i3i3000000−i3i30000−i3i3−i3i3
χ2322222222-22-22-2-2-2-222-2-222-2-222-2-22-12-122-1-122-1-122-1-1-1-2111-1-2111-1-1-21-21-1-111-1-111000000000000000000000000000000i3−i3000000i3−i30000i3−i3i3−i3
χ2422222222-22-22-2-2-2-222-2-222-2-222-2-2-12-12-1-122-1-122-1-122-11-211-11-211-1-11-21-2-1-111-1-1110000000000000000000000000000−i3i3000000−i3i300−i3i3−i3i30000
χ2522222222-22-22-2-2-2-222-2-222-2-222-2-2-12-12-1-122-1-122-1-122-11-211-11-211-1-11-21-2-1-111-1-1110000000000000000000000000000i3−i3000000i3−i300i3−i3i3−i30000
χ262222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-22-12-122-1-1-2-211-2-211-12-1-1-1-12-1-1-1-1-1-21-2111111111000000000000000000000000020200-1-100-2-200-1-100001111
χ272222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-22-12-122-1-1-2-211-2-211-12-1-1-1-12-1-1-1-1-1-21-21111111110000000000000000000000000-20-20011002200110000-1-1-1-1
χ282222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-12-12-1-12211-2-211-2-2-1-12-1-1-1-12-1-1-1-11-21-2111111110000000000000000000000002020-1-100-2-200-1-10011110000
χ292222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-12-12-1-12211-2-211-2-2-1-12-1-1-1-12-1-1-1-11-21-211111111000000000000000000000000-20-20110022001100-1-1-1-10000
χ302222-2-2-2-2-22-22-2-22222-2-2-2-222-2-22222222222-2-2-2-2-2-2-2-22-2-2-2-22-2-2-2-2222222-2-222-2-222000000000000000000000000000000000000000000000000
χ312222-2-2-2-2-22-22-2-22222-2-2-2-222-2-2222-12-122-1-1-2-211-2-211-1-2111-1-2111-1-12-12-111-1-111-1-1000000000000000000000000000000−i3i3000000−i3i30000i3−i3i3−i3
χ322222-2-2-2-2-22-22-2-22222-2-2-2-222-2-2222-12-122-1-1-2-211-2-211-1-2111-1-2111-1-12-12-111-1-111-1-1000000000000000000000000000000i3−i3000000i3−i30000−i3i3−i3i3
χ332222-2-2-2-2-22-22-2-22222-2-2-2-222-2-222-12-12-1-12211-2-211-2-2-11-211-11-211-1-1-12-1211-1-111-1-10000000000000000000000000000−i3i3000000−i3i300i3−i3i3−i30000
χ342222-2-2-2-2-22-22-2-22222-2-2-2-222-2-222-12-12-1-12211-2-211-2-2-11-211-11-211-1-1-12-1211-1-111-1-10000000000000000000000000000i3−i3000000i3−i300−i3i3−i3i30000
χ3522-2-22i2i−2i−2i22-2222−2i2i-2-2-2-22i2i−2i−2i−2i−2i2i2i2222-2-2-2-22i2i2i2i−2i−2i−2i−2i222222-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ3622-2-22i2i−2i−2i22-2222−2i2i-2-2-2-22i2i−2i−2i−2i−2i2i2i2-12-1-2-2112i2i−i−i−2i−2iii-12-1-1-1-1-211111−2ii2i−i−i−iiiii−i−i000000000000000000000000000000−i3i3000000i3−i300003−3−33
χ3722-2-22i2i−2i−2i22-2222−2i2i-2-2-2-22i2i−2i−2i−2i−2i2i2i2-12-1-2-2112i2i−i−i−2i−2iii-12-1-1-1-1-211111−2ii2i−i−i−iiiii−i−i000000000000000000000000000000i3−i3000000−i3i30000−333−3
χ3822-2-22i2i−2i−2i22-2222−2i2i-2-2-2-22i2i−2i−2i−2i−2i2i2i-12-1211-2-2−i−i2i2iii−2i−2i-1-12-1-1-11-21111i−2i−i2i−i−iiiii−i−i0000000000000000000000000000−i3i3000000i3−i3003−3−330000
χ3922-2-22i2i−2i−2i22-2222−2i2i-2-2-2-22i2i−2i−2i−2i−2i2i2i-12-1211-2-2−i−i2i2iii−2i−2i-1-12-1-1-11-21111i−2i−i2i−i−iiiii−i−i0000000000000000000000000000i3−i3000000−i3i300−333−30000
χ4022-2-22i2i−2i−2i-2222-2-22i−2i-2-2222i2i2i2i−2i−2i−2i−2i2-12-1-2-2112i2i−i−i−2i−2iii-1-2111-12-1-1-1112i−i−2ii−i−i−i−iiiii000000000000000000000000020-200-1-1002i−2i00110000−i−iii
χ4122-2-22i2i−2i−2i-2222-2-22i−2i-2-2222i2i2i2i−2i−2i−2i−2i2-12-1-2-2112i2i−i−i−2i−2iii-1-2111-12-1-1-1112i−i−2ii−i−i−i−iiiii0000000000000000000000000-202001100−2i2i00-1-10000ii−i−i
χ4222-2-22i2i−2i−2i-2222-2-22i−2i-2-2222i2i2i2i−2i−2i−2i−2i-12-1211-2-2−i−i2i2iii−2i−2i-11-211-1-12-1-111−i2ii−2i−i−i−i−iiiii00000000000000000000000020-20-1-1002i−2i001100−i−iii0000
χ4322-2-22i2i−2i−2i-2222-2-22i−2i-2-2222i2i2i2i−2i−2i−2i−2i-12-1211-2-2−i−i2i2iii−2i−2i-11-211-1-12-1-111−i2ii−2i−i−i−i−iiiii000000000000000000000000-20201100−2i2i00-1-100ii−i−i0000
χ4422-2-2−2i−2i2i2i22-22222i−2i-2-2-2-2−2i−2i2i2i2i2i−2i−2i2222-2-2-2-2−2i−2i−2i−2i2i2i2i2i222222-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4522-2-2−2i−2i2i2i22-22222i−2i-2-2-2-2−2i−2i2i2i2i2i−2i−2i2-12-1-2-211−2i−2iii2i2i−i−i-12-1-1-1-1-2111112i−i−2iiii−i−i−i−iii000000000000000000000000000000−i3i3000000i3−i30000−333−3
χ4622-2-2−2i−2i2i2i22-22222i−2i-2-2-2-2−2i−2i2i2i2i2i−2i−2i2-12-1-2-211−2i−2iii2i2i−i−i-12-1-1-1-1-2111112i−i−2iiii−i−i−i−iii000000000000000000000000000000i3−i3000000−i3i300003−3−33
χ4722-2-2−2i−2i2i2i22-22222i−2i-2-2-2-2−2i−2i2i2i2i2i−2i−2i-12-1211-2-2ii−2i−2i−i−i2i2i-1-12-1-1-11-21111−i2ii−2iii−i−i−i−iii0000000000000000000000000000−i3i3000000i3−i300−333−30000
χ4822-2-2−2i−2i2i2i22-22222i−2i-2-2-2-2−2i−2i2i2i2i2i−2i−2i-12-1211-2-2ii−2i−2i−i−i2i2i-1-12-1-1-11-21111−i2ii−2iii−i−i−i−iii0000000000000000000000000000i3−i3000000−i3i3003−3−330000
χ4922-2-2−2i−2i2i2i-2222-2-2−2i2i-2-222−2i−2i−2i−2i2i2i2i2i2-12-1-2-211−2i−2iii2i2i−i−i-1-2111-12-1-1-111−2ii2i−iiiii−i−i−i−i000000000000000000000000020-200-1-100−2i2i00110000ii−i−i
χ5022-2-2−2i−2i2i2i-2222-2-2−2i2i-2-222−2i−2i−2i−2i2i2i2i2i2-12-1-2-211−2i−2iii2i2i−i−i-1-2111-12-1-1-111−2ii2i−iiiii−i−i−i−i0000000000000000000000000-2020011002i−2i00-1-10000−i−iii
χ5122-2-2−2i−2i2i2i-2222-2-2−2i2i-2-222−2i−2i−2i−2i2i2i2i2i-12-1211-2-2ii−2i−2i−i−i2i2i-11-211-1-12-1-111i−2i−i2iiiii−i−i−i−i00000000000000000000000020-20-1-100−2i2i001100ii−i−i0000
χ5222-2-2−2i−2i2i2i-2222-2-2−2i2i-2-222−2i−2i−2i−2i2i2i2i2i-12-1211-2-2ii−2i−2i−i−i2i2i-11-211-1-12-1-111i−2i−i2iiiii−i−i−i−i000000000000000000000000-202011002i−2i00-1-100−i−iii0000
χ532-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13020-200002i−2i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130022-2-22i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1320000-200002i−2i00002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13001+i−1−i1−i−1+i2−2−i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i22−2−2−i2−i2i2i2000000000000000000000000
χ542-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13020-200002i−2i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130022-2-22i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1320000-200002i−2i00002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−1−i1+i−1+i1−i−22i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2−222i2i2−i2−i2000000000000000000000000
χ552-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13020-200002i−2i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130022-2-22i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1320000-200002i−2i0000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13001+i−1−i1−i−1+i−22i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222i2i2−i2−i2000000000000000000000000
χ562-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13020-200002i−2i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130022-2-22i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1320000-200002i−2i0000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−1−i1+i−1+i1−i2−2−i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2−i2−i2i2i2000000000000000000000000
χ572-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23020-20000−2i2i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230022-2-2−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2320000-20000−2i2i0000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23001−i−1+i1+i−1−i2−2i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2i2i2−i2−i2000000000000000000000000
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χ1106-6−6i6i−6ζ5−6ζ136ζ5+6ζ136ζ7+6ζ23−6ζ7−6ζ230-303−3i33i3003i−3i−33333ζ5+3ζ13−3ζ5−3ζ133ζ7−3ζ23−3ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ5+3ζ133ζ5−3ζ130000000000000000000000000000000000000000−1+i1−i−1−i1+i−22−i2i2ζ4+ζ14ζ20+ζ22−ζ4−ζ14−ζ20−ζ22ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7000000000000000000000000
χ1116-6−6i6i−6ζ5−6ζ136ζ5+6ζ136ζ7+6ζ23−6ζ7−6ζ230-3033i3−3i3003i−3i33−333ζ5+3ζ13−3ζ5−3ζ13−3ζ7+3ζ233ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ5−3ζ13−3ζ5+3ζ1300000000000000000000000000000000000000001−i−1+i1+i−1−i2−2i2−i2−ζ20−ζ22−ζ4−ζ14ζ20+ζ22ζ4+ζ14−ζ4+ζ14−ζ20+ζ22ζ4−ζ14ζ20−ζ22ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23000000000000000000000000
χ1126-6−6i6i−6ζ5−6ζ136ζ5+6ζ136ζ7+6ζ23−6ζ7−6ζ230-3033i3−3i3003i−3i33−333ζ5+3ζ13−3ζ5−3ζ13−3ζ7+3ζ233ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ5−3ζ13−3ζ5+3ζ130000000000000000000000000000000000000000−1+i1−i−1−i1+i−22−i2i2ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14ζ4−ζ14ζ20−ζ22−ζ4+ζ14−ζ20+ζ22−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23000000000000000000000000
χ1136-6−6i6i6ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ230-303−3i33i3003i−3i−3333−3ζ5−3ζ133ζ5+3ζ13−3ζ7+3ζ233ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ5−3ζ13−3ζ5+3ζ1300000000000000000000000000000000000000001−i−1+i1+i−1−i−22−i2i2−ζ4−ζ14−ζ20−ζ22ζ4+ζ14ζ20+ζ22−ζ20+ζ22−ζ4+ζ14ζ20−ζ22ζ4−ζ14−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7000000000000000000000000
χ1146-6−6i6i6ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ230-303−3i33i3003i−3i−3333−3ζ5−3ζ133ζ5+3ζ13−3ζ7+3ζ233ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ5−3ζ13−3ζ5+3ζ130000000000000000000000000000000000000000−1+i1−i−1−i1+i2−2i2−i2ζ4+ζ14ζ20+ζ22−ζ4−ζ14−ζ20−ζ22ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7000000000000000000000000
χ1156-6−6i6i6ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ230-3033i3−3i3003i−3i33−33−3ζ5−3ζ133ζ5+3ζ133ζ7−3ζ23−3ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ5+3ζ133ζ5−3ζ1300000000000000000000000000000000000000001−i−1+i1+i−1−i−22−i2i2−ζ20−ζ22−ζ4−ζ14ζ20+ζ22ζ4+ζ14−ζ4+ζ14−ζ20+ζ22ζ4−ζ14ζ20−ζ22−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23000000000000000000000000
χ1166-6−6i6i6ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ230-3033i3−3i3003i−3i33−33−3ζ5−3ζ133ζ5+3ζ133ζ7−3ζ23−3ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ5+3ζ133ζ5−3ζ130000000000000000000000000000000000000000−1+i1−i−1−i1+i2−2i2−i2ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14ζ4−ζ14ζ20−ζ22−ζ4+ζ14−ζ20+ζ22ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.