Finite Group Databasebeta

← Group #13156515

Character table — Group #13156515

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222222222224444444444444444444444446666666666666666666666668888888888121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424727272727272216
order122233344666666666121212123336666666661212121212121212121212128888888824242424242424242424242424242424366612121212121224242424242424242424242424242424242424242424242444441212121212121212412121212121212122266664
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
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-2-2-2-2-200000000000000000000000022-2-22222-2-2-2-20000000000000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222-2-2-2-2-2-2000000000000000000000000-2-222-2-2-2-222220000000000000000
χ11222222-1222-122-12-12222222-1-122-1-1-12-1-1-12-122-1-12-122-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000222-1-1-1-1-1-10200-1-10
χ12222222-1222-122-12-12222222-1-122-1-1-12-1-1-12-122-1-12-122-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-21111110-200110
χ13222222-1222-122-12-12222222-1-122-1-1-12-1-1-12-122-1-12-122-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000222-1-1-1-1-1-10-200110
χ14222222-1222-122-12-12222222-1-122-1-1-12-1-1-12-122-1-12-122-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000-2-2-21111110200-1-10
χ1522222-1222-122-12-12222222-12-1-1-122-1-12-1-1-12-1-122-12-1-122222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002-1-122-1-1-1-120-1-1000
χ1622222-1222-122-12-12222222-12-1-1-122-1-12-1-1-12-1-122-12-1-122222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-211-2-21111-2011000
χ1722222-1222-122-12-12222222-12-1-1-122-1-12-1-1-12-1-122-12-1-122-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-1-122-1-1-1-1-2011000
χ1822222-1222-122-12-12222222-12-1-1-122-1-12-1-1-12-1-122-12-1-122-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-211-2-2111120-1-1000
χ192222-1222222-12222-1-1-1-1-1-1-1-12-1-1-1-12-1-12222-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ202222-1222222-12222-1-1-1-1-1-1-1-12-1-1-1-12-1-12222-1-1-1-122-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000000000000000
χ212222-1222222-12222-1-1-1-1-1-1-1-12-1-1-1-12-1-12222-1-1-1-122-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ222222-1222222-12222-1-1-1-1-1-1-1-12-1-1-1-12-1-12222-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000
χ232222-122-2-222-12222-1-11111-1-12-1-1-1-12-1-122-2-21111-2-21111000000003333−3−3−3−33333−3−3−3−3-1-1-1-1-2-2111100003333−3−3−3−300003333−3−3−3−322-2-2-1-1-1-111110000000000000000
χ242222-122-2-222-12222-1-11111-1-12-1-1-1-12-1-122-2-21111-2-21111000000003333−3−3−3−3−3−3−3−33333-1-1-1-1-2-2111100003333−3−3−3−30000−3−3−3−33333-2-2221111-1-1-1-10000000000000000
χ252222-122-2-222-12222-1-11111-1-12-1-1-1-12-1-122-2-21111-2-2111100000000−3−3−3−333333333−3−3−3−3-1-1-1-1-2-211110000−3−3−3−3333300003333−3−3−3−3-2-2221111-1-1-1-10000000000000000
χ262222-122-2-222-12222-1-11111-1-12-1-1-1-12-1-122-2-21111-2-2111100000000−3−3−3−33333−3−3−3−33333-1-1-1-1-2-211110000−3−3−3−333330000−3−3−3−3333322-2-2-1-1-1-111110000000000000000
χ2722-2-22222-2-2-2222-2-2-2-222-2-2222-2-2-2-2-2222-22-222-2-2-22-2-2222i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i000000002-2-222-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ2822-2-22222-2-2-2222-2-2-2-222-2-2222-2-2-2-2-2222-22-222-2-2-22-2-222−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i000000002-2-222-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ2922-2-2222-22-2-2222-2-2-2-2-2-222222-2-2-2-2-2222-2-22-2-2222-222-2-200002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i2-2-22-22-2-2220000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ3022-2-2222-22-2-2222-2-2-2-2-2-222222-2-2-2-2-2222-2-22-2-2222-222-2-20000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i2-2-22-22-2-222000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ3122-2-222-1-22-2122-1-21-2-2-2-2222-1-1-2-21112-1-11-2-1-2-2-1-121221100002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i-111-11-111-1-1000000000000−i−iii−i−iii−i−iii0000000000000003−333−3−30000−i3i30
χ3222-2-222-1-22-2122-1-21-2-2-2-2222-1-1-2-21112-1-11-2-1-2-2-1-121221100002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i-111-11-111-1-1000000000000−i−iii−i−iii−i−iii000000000000000−33−3−3330000i3−i30
χ3322-2-222-1-22-2122-1-21-2-2-2-2222-1-1-2-21112-1-11-2-1-2-2-1-12122110000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i-111-11-111-1-1000000000000ii−i−iii−i−iii−i−i0000000000000003−333−3−30000i3−i30
χ3422-2-222-1-22-2122-1-21-2-2-2-2222-1-1-2-21112-1-11-2-1-2-2-1-12122110000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i-111-11-111-1-1000000000000ii−i−iii−i−iii−i−i000000000000000−33−3−3330000−i3i30
χ3522-2-22-122-21-22-121-2-2-222-2-2-12-111-2-21-12-11-1-2-1-1-2-21211222i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i00000000-111-1-11-1-111−i−iii−i−iii−i−iii00000000000000000000000003−3003−33−300−i3i3000
χ3622-2-22-122-21-22-121-2-2-222-2-2-12-111-2-21-12-11-1-2-1-1-2-21211222i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i00000000-111-1-11-1-111−i−iii−i−iii−i−iii0000000000000000000000000−3300−33−3300i3−i3000
χ3722-2-22-122-21-22-121-2-2-222-2-2-12-111-2-21-12-11-1-2-1-1-2-2121122−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i00000000-111-1-11-1-111ii−i−iii−i−iii−i−i00000000000000000000000003−3003−33−300i3−i3000
χ3822-2-22-122-21-22-121-2-2-222-2-2-12-111-2-21-12-11-1-2-1-1-2-2121122−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i00000000-111-1-11-1-111ii−i−iii−i−iii−i−i0000000000000000000000000−3300−33−3300−i3i3000
χ3922-2-2-1222-2-2-2-122-2-211-1-111-1-121111-2-1-12-22-2-1-111-2211-1-12i2i−2i−2i0000−i−iii−i−iii−i3−i3i3i3i3i3−i3−i3-111-12-2-1-1112i2i−2i−2i−i−iii−i−iii0000−i3−i3i3i3i3i3−i3−i3000033−3−333−3−30000000000000000
χ4022-2-2-1222-2-2-2-122-2-211-1-111-1-121111-2-1-12-22-2-1-111-2211-1-12i2i−2i−2i0000−i−iii−i−iiii3i3−i3−i3−i3−i3i3i3-111-12-2-1-1112i2i−2i−2i−i−iii−i−iii0000i3i3−i3−i3−i3−i3i3i30000−3−333−3−3330000000000000000
χ4122-2-2-1222-2-2-2-122-2-211-1-111-1-121111-2-1-12-22-2-1-111-2211-1-1−2i−2i2i2i0000ii−i−iii−i−i−i3−i3i3i3i3i3−i3−i3-111-12-2-1-111−2i−2i2i2iii−i−iii−i−i0000−i3−i3i3i3i3i3−i3−i30000−3−333−3−3330000000000000000
χ4222-2-2-1222-2-2-2-122-2-211-1-111-1-121111-2-1-12-22-2-1-111-2211-1-1−2i−2i2i2i0000ii−i−iii−i−ii3i3−i3−i3−i3−i3i3i3-111-12-2-1-111−2i−2i2i2iii−i−iii−i−i0000i3i3−i3−i3−i3−i3i3i3000033−3−333−3−30000000000000000
χ4322-2-2-122-22-2-2-122-2-21111-1-1-1-121111-2-1-12-2-2211-1-12-2-1-11100002i2i−2i−2i−i3−i3i3i3i3i3−i3−i3−i−iii−i−iii-111-1-2211-1-10000−i3−i3i3i3i3i3−i3−i32i2i−2i−2i−i−iii−i−iii0000−3−33333−3−30000000000000000
χ4422-2-2-122-22-2-2-122-2-21111-1-1-1-121111-2-1-12-2-2211-1-12-2-1-11100002i2i−2i−2ii3i3−i3−i3−i3−i3i3i3−i−iii−i−iii-111-1-2211-1-10000i3i3−i3−i3−i3−i3i3i32i2i−2i−2i−i−iii−i−iii000033−3−3−3−3330000000000000000
χ4522-2-2-122-22-2-2-122-2-21111-1-1-1-121111-2-1-12-2-2211-1-12-2-1-1110000−2i−2i2i2i−i3−i3i3i3i3i3−i3−i3ii−i−iii−i−i-111-1-2211-1-10000−i3−i3i3i3i3i3−i3−i3−2i−2i2i2iii−i−iii−i−i000033−3−3−3−3330000000000000000
χ4622-2-2-122-22-2-2-122-2-21111-1-1-1-121111-2-1-12-2-2211-1-12-2-1-1110000−2i−2i2i2ii3i3−i3−i3−i3−i3i3i3ii−i−iii−i−i-111-1-2211-1-10000i3i3−i3−i3−i3−i3i3i3−2i−2i2i2iii−i−iii−i−i0000−3−33333−3−30000000000000000
χ472-22-22220022-2-2-2-2-22-200002222-22-22-2-2-2-2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i222-2-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2002-22-200000000000000000000
χ482-22-22220022-2-2-2-2-22-200002222-22-22-2-2-2-2000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i222-2-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-2200-22-2200000000000000000000
χ492-22-22220022-2-2-2-2-22-200002222-22-22-2-2-2-2000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i222-2-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-2200-22-2200000000000000000000
χ502-22-22220022-2-2-2-2-22-200002222-22-22-2-2-2-2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i222-2-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-2002-22-200000000000000000000
χ512-22-2-12200221-2-2-2-2-113−33−3-1-12-11-11211-2-2003−33−3003−33−3−i2i2−i2i2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-1-111003−33−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232-200-11-113−33−30000000000000000
χ522-22-2-12200221-2-2-2-2-113−33−3-1-12-11-11211-2-2003−33−3003−33−3−i2i2−i2i2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-1-111003−33−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-22001-11-1−33−330000000000000000
χ532-22-2-12200221-2-2-2-2-113−33−3-1-12-11-11211-2-2003−33−3003−33−3i2−i2i2−i2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-1-111003−33−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-22001-11-1−33−330000000000000000
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χ1114-4-4444-200-42-4-424-2-4400004-2-2-442-22-422-2000000000000000022−22−22220000000022−22−222222−22−2222-22-22000000000000000000−222−2−222−2−222−20000000000000000000000000000
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χ1134-4-444-24002-4-42-4-24-440000-24-22-2-4422-42-200000000000022−22−2222000022−22−222222−22−222200000000-22-22000000−222−2−222−2−222−20000000000000000000000000000000000000000
χ1144-4-444-24002-4-42-4-24-440000-24-22-2-4422-42-2000000000000−222222−220000−222222−22−222222−2200000000-22-220000002−2−222−2−222−2−220000000000000000000000000000000000000000
χ1154-4-44-24-200-422-424-22-223−23−2323-21-22-2-1122-12-20023−233−300−2323−33000022−22−2222000000002ζ5−2ζ7−2ζ5+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
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χ1174-4-44-24-200-422-424-22-2−232323−23-21-22-2-1122-12-200−2323−330023−233−3000022−22−2222000000002ζ13−2ζ23−2ζ13+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
χ1184-4-44-24-200-422-424-22-2−232323−23-21-22-2-1122-12-200−2323−330023−233−30000−222222−2200000000−2ζ13+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
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χ1204-4-44-2-24002-422-4-242-223−23−23231-2-2-112-22-122-200−33−2323003−323−23−222222−220000−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7000000001-11-100−333−32−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ70000000000000000000000000000000000000000
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χ1238888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-42222-4-42222000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000
χ1248888-4-4-4-8-8-4-4-4-4-4-4-4-4-4444422222222222244-2-2-2-244-2-2-2-2000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000
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χ1288-88-8-4-4-400-4-444444-4443−4343−432222-22-22-2-2-2-200−2323−232300−2323−2323000000000000000000000000-1-111003−33−30000000000000000000000000000000000000000000000000000
χ1298-88-8-4-4-400-4-444444-44−4343−43432222-22-22-2-2-2-20023−2323−230023−2323−23000000000000000000000000-1-11100−33−330000000000000000000000000000000000000000000000000000
χ1308-8-888-4-40044-844-4-4-880000-4-424-44-4-244-220000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1318-8-88-4-4-40044444-4-44-443−43−4343222-22-22-2-2-2-2200−232323−230023−23−2323000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-40044444-4-44-4−434343−43222-22-22-2-2-2-220023−23−232300−232323−23000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000

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