Finite Group Databasebeta

← Group #13156531

Character table — Group #13156531

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222222222224444444444444444444444446666666666666666666666668888888888121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424727272727272216
order12223334466666666612121212333666666666121212121212121212121212444488881212121212121212242424242424242436661212121212121212121212121212121212122424242424242424242424248888242424242424242441212121212121212246612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-200002222-2-2-2-2000000002222-2-2-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-22222000000002222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000000000000000
χ11222222-1222222-1-12-1222222-1-122-1-12-1-1-1-12-1-122-1-1-1-1222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000222-1-1-1-1-1-120-1-1000
χ12222222-1222222-1-12-1222222-1-122-1-12-1-1-1-12-1-122-1-1-1-1222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2111111-2011000
χ13222222-1222222-1-12-1222222-1-122-1-12-1-1-1-12-1-122-1-1-1-1222-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000222-1-1-1-1-1-1-2011000
χ14222222-1222222-1-12-1222222-1-122-1-12-1-1-1-12-1-122-1-1-1-1222-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2-211111120-1-1000
χ15222222-1-2-22222-1-12-12-2-2-2-22-1-122-1-12-1-1-1-1-211-2-21111-2-2-222-2-200002222-2-2-2-200000000-1-1-1-1111111-1-111-1-1-1-11111000000000000000000000000000−i3i3−i3−i3i3i300−i3i3000
χ16222222-1-2-22222-1-12-12-2-2-2-22-1-122-1-12-1-1-1-1-211-2-21111-2-2-222-2-200002222-2-2-2-200000000-1-1-1-1111111-1-111-1-1-1-11111000000000000000000000000000i3−i3i3i3−i3−i300i3−i3000
χ17222222-1-2-22222-1-12-12-2-2-2-22-1-122-1-12-1-1-1-1-211-2-21111-2-2-2-2-2220000-2-2-2-2222200000000-1-1-1-111111111-1-11111-1-1-1-1000000000000000000000000000−i3i3−i3−i3i3i300i3−i3000
χ18222222-1-2-22222-1-12-12-2-2-2-22-1-122-1-12-1-1-1-1-211-2-21111-2-2-2-2-2220000-2-2-2-2222200000000-1-1-1-111111111-1-11111-1-1-1-1000000000000000000000000000i3−i3i3i3−i3−i300−i3i3000
χ1922222-12222-1-1-122222-1-1-1-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ2022222-12222-1-1-122222-1-1-1-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000000000000000
χ2122222-12222-1-1-122222-1-1-1-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ2222222-12222-1-1-122222-1-1-1-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000
χ2322222-12-2-22-1-1-1222221111-12-1-1-122-1-1-1-12-2-2-2111111-21122-2-20000-1-1-1-111113333−3−3−3−3-1-1-1-1-2-2111122-2-2-1-1-1-1111100003333−3−3−3−300003333−3−3−3−30000000000000000
χ2422222-12-2-22-1-1-1222221111-12-1-1-122-1-1-1-12-2-2-2111111-21122-2-20000-1-1-1-11111−3−3−3−33333-1-1-1-1-2-2111122-2-2-1-1-1-111110000−3−3−3−333330000−3−3−3−333330000000000000000
χ2522222-12-2-22-1-1-1222221111-12-1-1-122-1-1-1-12-2-2-2111111-211-2-22200001111-1-1-1-13333−3−3−3−3-1-1-1-1-2-21111-2-2221111-1-1-1-100003333−3−3−3−30000−3−3−3−333330000000000000000
χ2622222-12-2-22-1-1-1222221111-12-1-1-122-1-1-1-12-2-2-2111111-211-2-22200001111-1-1-1-1−3−3−3−33333-1-1-1-1-2-21111-2-2221111-1-1-1-10000−3−3−3−3333300003333−3−3−3−30000000000000000
χ272222-12222-122222-12-12222-1-12-1-1-1-1-1222-1-122-1-12222-1-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-10200-1-10
χ282222-12222-122222-12-12222-1-12-1-1-1-1-1222-1-122-1-12222-1-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-211-2-211110-200110
χ292222-12222-122222-12-12222-1-12-1-1-1-1-1222-1-122-1-12222-1-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000001111111111110000000000002-1-122-1-1-1-10-200110
χ302222-12222-122222-12-12222-1-12-1-1-1-1-1222-1-122-1-12222-1-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000-211-2-211110200-1-10
χ3122-2-22222-2-22-2-2-2-222-222-2-2222-2-2-2-222-2-22-22-2-2-222-2-22220000000000000000000000002-2-222-222-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ3222-2-22222-2-22-2-2-2-222-222-2-2222-2-2-2-222-2-22-22-2-2-222-2-22220000000000000000000000002-2-222-222-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3322-2-2222-22-22-2-2-2-222-2-2-222222-2-2-2-222-2-222-2222-2-222-2-2-200002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i2-2-22-22-2-2220000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ3422-2-2222-22-22-2-2-2-222-2-2-222222-2-2-2-222-2-222-2222-2-222-2-2-20000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i2-2-22-22-2-222000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ3522-2-22-122-2-2-111-2-222-2-1-111-12-111-2-2-1-1112-22-211-1-1112-1-10000000033−3−333−3−3−i3−i3i3i3i3i3−i3−i3-111-12-2-1-111000033−3−333−3−30000−i3−i3i3i3i3i3−i3−i32i2i−2i−2i−i−iii−i−iii0000000000000000
χ3622-2-22-122-2-2-111-2-222-2-1-111-12-111-2-2-1-1112-22-211-1-1112-1-10000000033−3−333−3−3i3i3−i3−i3−i3−i3i3i3-111-12-2-1-111000033−3−333−3−30000i3i3−i3−i3−i3−i3i3i3−2i−2i2i2iii−i−iii−i−i0000000000000000
χ3722-2-22-122-2-2-111-2-222-2-1-111-12-111-2-2-1-1112-22-211-1-1112-1-100000000−3−333−3−333−i3−i3i3i3i3i3−i3−i3-111-12-2-1-1110000−3−333−3−3330000−i3−i3i3i3i3i3−i3−i3−2i−2i2i2iii−i−iii−i−i0000000000000000
χ3822-2-22-122-2-2-111-2-222-2-1-111-12-111-2-2-1-1112-22-211-1-1112-1-100000000−3−333−3−333i3i3−i3−i3−i3−i3i3i3-111-12-2-1-1110000−3−333−3−3330000i3i3−i3−i3−i3−i3i3i32i2i−2i−2i−i−iii−i−iii0000000000000000
χ3922-2-22-12-22-2-111-2-222-211-1-1-12-111-2-2-1-11122-22-1-111-1-1-21100002i2i−2i−2i33−3−3−3−333−i−iii−i−iii-111-1-2211-1-1000033−3−3−3−3332i2i−2i−2i−i−iii−i−iii0000i3i3−i3−i3−i3−i3i3i30000000000000000
χ4022-2-22-12-22-2-111-2-222-211-1-1-12-111-2-2-1-11122-22-1-111-1-1-21100002i2i−2i−2i−3−33333−3−3−i−iii−i−iii-111-1-2211-1-10000−3−33333−3−32i2i−2i−2i−i−iii−i−iii0000−i3−i3i3i3i3i3−i3−i30000000000000000
χ4122-2-22-12-22-2-111-2-222-211-1-1-12-111-2-2-1-11122-22-1-111-1-1-2110000−2i−2i2i2i33−3−3−3−333ii−i−iii−i−i-111-1-2211-1-1000033−3−3−3−333−2i−2i2i2iii−i−iii−i−i0000−i3−i3i3i3i3i3−i3−i30000000000000000
χ4222-2-22-12-22-2-111-2-222-211-1-1-12-111-2-2-1-11122-22-1-111-1-1-2110000−2i−2i2i2i−3−33333−3−3ii−i−iii−i−i-111-1-2211-1-10000−3−33333−3−3−2i−2i2i2iii−i−iii−i−i0000i3i3−i3−i3−i3−i3i3i30000000000000000
χ4322-2-2-122-2212-2-2-2-2-121-2-222-1-121111-12-2-2-1-1-22-1-1-2-22211100002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i-111-11-111-1-1000000000000−i−iii−i−iii−i−iii0000000000000−i3i300−i3i3−i3i300003−30
χ4422-2-2-122-2212-2-2-2-2-121-2-222-1-121111-12-2-2-1-1-22-1-1-2-22211100002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i-111-11-111-1-1000000000000−i−iii−i−iii−i−iii0000000000000i3−i300i3−i3i3−i30000−330
χ4522-2-2-122-2212-2-2-2-2-121-2-222-1-121111-12-2-2-1-1-22-1-1-2-2221110000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i-111-11-111-1-1000000000000ii−i−iii−i−iii−i−i0000000000000−i3i300−i3i3−i3i30000−330
χ4622-2-2-122-2212-2-2-2-2-121-2-222-1-121111-12-2-2-1-1-22-1-1-2-2221110000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i-111-11-111-1-1000000000000ii−i−iii−i−iii−i−i0000000000000i3−i300i3−i3i3−i300003−30
χ472-22-222200-2-22-22-2-2-2200002222-22-2-2-22-2-2000000000000002i−2i−i2i2−i2i200002i−2i2i−2i−i2i2−i2i2−i2i2−i2i222-2-2000000002i−2i00002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22−22−22−22−22−22−20000000000000000
χ482-22-222200-2-22-22-2-2-2200002222-22-2-2-22-2-2000000000000002i−2ii2−i2i2−i200002i−2i2i−2ii2−i2i2−i2i2−i2i2−i222-2-2000000002i−2i00002i−2i2i−2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−22−22−22−22−22−220000000000000000
χ492-22-222200-2-22-22-2-2-2200002222-22-2-2-22-2-200000000000000−2i2i−i2i2−i2i20000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i222-2-200000000−2i2i0000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−22−22−22−22−22−220000000000000000
χ502-22-222200-2-22-22-2-2-2200002222-22-2-2-22-2-200000000000000−2i2ii2−i2i2−i20000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i222-2-200000000−2i2i0000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i22−22−22−22−22−22−20000000000000000
χ512-22-22-1200-21-112-2-2-223−33−3-12-1-112-211-11-20003−33−33−303−3002i−2i−i2i2−i2i2−i3i3−i3i3−ii−iiζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-1-111003−33−3002i−2i−i3i3−i3i3−ii−ii−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ522-22-22-1200-21-112-2-2-223−33−3-12-1-112-211-11-20003−33−33−303−3002i−2ii2−i2i2−i2−i3i3−i3i3−ii−ii−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-1-111003−33−3002i−2i−i3i3−i3i3−ii−iii2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ532-22-22-1200-21-112-2-2-223−33−3-12-1-112-211-11-20003−33−33−303−300−2i2i−i2i2−i2i2i3−i3i3−i3i−ii−iζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-1-111003−33−300−2i2ii3−i3i3−i3i−ii−i−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ542-22-22-1200-21-112-2-2-223−33−3-12-1-112-211-11-20003−33−33−303−300−2i2ii2−i2i2−i2i3−i3i3−i3i−ii−i−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-1-111003−33−300−2i2ii3−i3i3−i3i−ii−ii2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000
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χ1164-4-444-2-200422-22-2-42-4−232323−23-2-212-22-22-1-11200023−233−3−330−2323−4i4i0000002i−2i−2i2i2i3−2i3−2i32i3000000001-11-1003−3−332i−2i00−iii−i−i3i3i3−i30000000000000000000000000000000000000000
χ1174-4-44-24400-2-4-44-442-420000-2-242-22-22-4-442000000000000000022−22−22220000000022−22−222222−22−2222-22-22000000000000000000−222−2−222−2−222−20000000000000000000000000000
χ1184-4-44-24400-2-4-44-442-420000-2-242-22-22-4-4420000000000000000−222222−2200000000−222222−22−222222−22-22-220000000000000000002−2−222−2−222−2−220000000000000000000000000000
χ1194-4-44-2-2400-222-2-442-4223−23−23231-2-2-112-2-122-220003−323−23−23230−33000022−22−2222000000002ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ231-11-100−333−3000000000000−222−2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ230000000000000000000000000000
χ1204-4-44-2-2400-222-2-442-4223−23−23231-2-2-112-2-122-220003−323−23−23230−330000−222222−2200000000−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ231-11-100−333−30000000000002−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ230000000000000000000000000000
χ1214-4-44-2-2400-222-2-442-42−232323−231-2-2-112-2-122-22000−33−232323−2303−3000022−22−2222000000002ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ71-11-1003−3−33000000000000−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ70000000000000000000000000000
χ1224-4-44-2-2400-222-2-442-42−232323−231-2-2-112-2-122-22000−33−232323−2303−30000−222222−2200000000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ71-11-1003−3−330000000000002−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ70000000000000000000000000000
χ1238888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4222222-422000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000
χ1248888-4-4-4-8-8-4-4-4-4-4-4-4-4-44444222222222222444-2-2-2-2-2-24-2-2000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000
χ12588-8-8-4-4-48-84-44444-4-44-4-444222-2-2-2-222-2-224-44-2-222-2-2-422000000000000000000000000-111-12-2-1-1110000000000000000000000000000000000000000000000000000
χ12688-8-8-4-4-4-884-44444-4-4444-4-4222-2-2-2-222-2-22-44-422-2-2224-2-2000000000000000000000000-111-1-2211-1-10000000000000000000000000000000000000000000000000000
χ1278-88-8-48-4004-88-8-4444-40000-42-4-442-244-44-200000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ1288-88-8-4-4-40044-44-4444-443−4343−432222-22-2-2-22-2-2000−2323−2323−23230−2323000000000000000000000000-1-111003−33−30000000000000000000000000000000000000000000000000000
χ1298-88-8-4-4-40044-44-4444-4−4343−43432222-22-2-2-22-2-200023−2323−2323−23023−23000000000000000000000000-1-11100−33−330000000000000000000000000000000000000000000000000000
χ1308-8-88-48-400-4-8-884-44440000-42-44-4-22444-4-20000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1318-8-88-4-4-400-444-44-444443−43−4343222-22-22-2-2-22-200023−23−232323−230−2323000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-400-444-44-4444−434343−43222-22-22-2-2-22-2000−232323−23−2323023−23000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000

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