Finite Group Databasebeta

← Group #13178134

Character table — Group #13178134

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818183636363636363636363636363636363636367272727272727272
order122233344666666666121212123333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212124444222444444412121212121212126661212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1-11-1-1111-1-1
χ5111111111111111111111111111-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-11-111111-1-1-1-111-11-1-11-1
χ6111111111111111111111111111-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1-11-11111-1-1-1-1-1-11-111-11
χ7111111111111111111111111111-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-11-1-1111-1
χ8111111111111111111111111111-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-111-1-1-1-111111-111-1-1-11
χ91111111-1-1111111111-1-1-1-1111111-1111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-11-111-1-111-1-111-1-11-1-11
χ101111111-1-1111111111-1-1-1-1111111-1111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-11-1111-1-111-1-1-1-111-111-1
χ111111111-1-1111111111-1-1-1-1111111-1111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-111-1-111-1-111-11-11-11-11
χ121111111-1-1111111111-1-1-1-1111111-1111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-1-1-111-1-1111-11-11-11-1
χ131111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1111-1-111-1-1-111-1-1-1-111111-1-11-1-1
χ141111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-11-1-1111111-1-1-1-111-1-1-111-111
χ151111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-111-1-1-1-11-1-11111-1-1-11111-1-1-1
χ161111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-11-111-111-1-1-11111-1-11-1-1-1-1111
χ17222222-1222-1-122222-122222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002200000220000000000-1-1000-1-1
χ18222222-1222-1-122222-122222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200000-2-200000000001100011
χ19222222-1222-1-122222-122222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-11122-2-2-2-2-2-2-2-2112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2111111111111111100002-2000002-20000000000-11000-11
χ20222222-1222-1-122222-122222-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-11122-2-2-2-2-2-2-2-2112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111110000-2200000-2200000000001-10001-1
χ21222222-1-2-22-1-122222-1-2-2-2-22-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-111-1-1-2-222-2-222-2-211-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100002-200000-220000000000-110001-1
χ22222222-1-2-22-1-122222-1-2-2-2-22-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-111-1-1-2-222-2-222-2-211-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000-22000002-200000000001-1000-11
χ23222222-1-2-22-1-122222-1-2-2-2-22-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-222-2-222-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002200000-2-20000000000-1-100011
χ24222222-1-2-22-1-122222-1-2-2-2-22-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-222-2-222-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-20000022000000000011000-1-1
χ2522222-1222222-1-1-12222222-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002202000200000000-100-1-1-100
χ2622222-1222222-1-1-12222222-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-20-2000-20000000010011100
χ2722222-1222222-1-1-12222222-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-122-2-2-1-11111-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-21111111111110000002-20-2000200000000-100-11100
χ2822222-1222222-1-1-12222222-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-122-2-2-1-11111-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111000000-2202000-2000000001001-1-100
χ2922222-12-2-2222-1-1-1222-2-2-2-2-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-1-2-22211-1-11122-2-2-2-21111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111000000220-2000-200000000-1001-1100
χ3022222-12-2-2222-1-1-1222-2-2-2-2-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-1-2-22211-1-11122-2-2-2-21111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111000000-2-202000200000000100-11-100
χ3122222-12-2-2222-1-1-1222-2-2-2-2-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-2-222221111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002-202000-200000000-10011-100
χ3222222-12-2-2222-1-1-1222-2-2-2-2-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-2-222221111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-220-2000200000000100-1-1100
χ332222-12222-122222-1-12-1-1-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-12222222222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000202000-1-1-1-1-1-1-1-100000000
χ342222-12222-122222-1-12-1-1-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-12222222222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-20-20001111111100000000
χ352222-12222-122222-1-12-1-1-1-1-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-122-2-222-2-2-2-21111-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-21111111122220000-20-2000-1-1-1-1111100000000
χ362222-12222-122222-1-12-1-1-1-1-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-122-2-222-2-2-2-21111-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-2-2-2-200002020001111-1-1-1-100000000
χ372222-122-2-2-122222-1-121111-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-222-2-222-2-2-1-111-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111122-2-2000020-2000-1-111-1-11100000000
χ382222-122-2-2-122222-1-121111-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-222-2-222-2-2-1-111-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111-2-2220000-20200011-1-111-1-100000000
χ392222-122-2-2-122222-1-121111-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-2-22211-1-12211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-20000-202000-1-11111-1-100000000
χ402222-122-2-2-122222-1-121111-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-2-22211-1-12211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-222000020-200011-1-1-1-11100000000
χ412-22-22222i−2i-22-22-2-22-2-22i2i−2i−2i22222002-2-22-2-22-2-222-2-2-2-22i−2i002i−2i00000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000002-22i−2i00000000002-22i−2i000000000000
χ422-22-22222i−2i-22-22-2-22-2-22i2i−2i−2i22222002-2-22-2-22-2-222-2-2-2-22i−2i002i−2i00000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000-22−2i2i0000000000-22−2i2i000000000000
χ432-22-2222−2i2i-22-22-2-22-2-2−2i−2i2i2i22222002-2-22-2-22-2-222-2-2-2-2−2i2i00−2i2i0000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000002-2−2i2i00000000002-2−2i2i000000000000
χ442-22-2222−2i2i-22-22-2-22-2-2−2i−2i2i2i22222002-2-22-2-22-2-222-2-2-2-2−2i2i00−2i2i0000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000-222i−2i0000000000-222i−2i000000000000
χ452-22-2-1222i−2i12-22-2-2-11-2−i−iii-1-12-1-100-111-1112-2-2-1-111112i−2i002i−2i0000−i3i33−300−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i333−3−333−3−300003333−3−3−3−32-22i−2i0000000000-11−ii−i3i33−300000000
χ462-22-2-1222i−2i12-22-2-2-11-2−i−iii-1-12-1-100-111-1112-2-2-1-111112i−2i002i−2i0000−i3i33−300−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i333−3−333−3−300003333−3−3−3−3-22−2i2i00000000001-1i−ii3−i3−3300000000
χ472-22-2-1222i−2i12-22-2-2-11-2−i−iii-1-12-1-100-111-1112-2-2-1-111112i−2i002i−2i0000i3−i3−3300−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiiii3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3−3−333−3−3330000−3−3−3−333332-22i−2i0000000000-11−iii3−i3−3300000000
χ482-22-2-1222i−2i12-22-2-2-11-2−i−iii-1-12-1-100-111-1112-2-2-1-111112i−2i002i−2i0000i3−i3−3300−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiiii3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3−3−333−3−3330000−3−3−3−33333-22−2i2i00000000001-1i−i−i3i33−300000000
χ492-22-2-122−2i2i12-22-2-2-11-2ii−i−i-1-12-1-100-111-1112-2-2-1-11111−2i2i00−2i2i0000−i3i3−3300ii−i−iii−i−i−2i−2i2i2iiiii−i−i−i−i−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−3−333−3−3330000−3−3−3−333332-2−2i2i0000000000-11i−i−i3i3−3300000000
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χ1394-4-44-2-24002-4-422-22-2423−23−23231-2-21100-1-1122-222-2-1-1-11-1100000023−2300000000−333−323−23−23230000−333−33−3−33−333−3000023−23−2323−333−33−3−33-333-300000000-33-333-33-3000000000000000000000000000000
χ1404-4-44-2-24002-4-422-22-2423−23−23231-2-21100-1-1122-222-2-1-1-11-11000000−232300000000−333−323−23−23230000−333−33−3−333−3−330000−232323−233−3−33−333−33-3-33000000003-33-3-33-33000000000000000000000000000000
χ1414-4-44-2-24002-4-422-22-24−232323−231-2-21100-1-1122-222-2-1-1-11-1100000023−23000000003−3−33−232323−2300003−3−33−333−3−333−3000023−23−2323−333−33−3−333-3-33000000003-33-3-33-33000000000000000000000000000000
χ1424-4-44-2-24002-4-422-22-24−232323−231-2-21100-1-1122-222-2-1-1-11-11000000−2323000000003−3−33−232323−2300003−3−33−333−33−3−330000−232323−233−3−33−333−3-333-300000000-33-333-33-3000000000000000000000000000000
χ1434-4-44-2-2-20022222-22-2-223−23−2323111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i3200000023−230000002i3−2i3−333−3−333−33i−3i−3i3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−333−33i−3i−3i3i−333−3ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11-333-3−i3i3i3−i3−i3i3i3−i33+i32−3−i323−i32−3+i32−3−i323+i32−3+i323−i32000000000000000000000000000000
χ1444-4-44-2-2-20022222-22-2-223−23−2323111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i32000000−2323000000−2i32i3−333−3−333−33i−3i−3i3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ113−3−33−3i3i3i−3i3−3−33−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113-3-33i3−i3−i3i3i3−i3−i3i3−3−i323+i32−3+i323−i323+i32−3−i323−i32−3+i32000000000000000000000000000000
χ1454-4-44-2-2-20022222-22-2-223−23−2323111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i3200000023−23000000−2i32i3−333−3−333−3−3i3i3i−3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−333−3−3i3i3i−3i−333−3−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11-333-3i3−i3−i3i3i3−i3−i3i33−i32−3+i323+i32−3−i32−3+i323−i32−3−i323+i32000000000000000000000000000000
χ1464-4-44-2-2-20022222-22-2-223−23−2323111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i32000000−23230000002i3−2i3−333−3−333−3−3i3i3i−3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ113−3−333i−3i−3i3i3−3−332ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ113-3-33−i3i3i3−i3−i3i3i3−i3−3+i323−i32−3−i323+i323−i32−3+i323+i32−3−i32000000000000000000000000000000
χ1474-4-44-2-2-20022222-22-2-2−232323−23111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i3200000023−23000000−2i32i33−3−333−3−33−3i3i3i−3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−333−33i−3i−3i3i−333−3ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ113-3-33i3−i3−i3i3i3−i3−i3i3−3−i323+i32−3+i323−i323+i32−3−i323−i32−3+i32000000000000000000000000000000
χ1484-4-44-2-2-20022222-22-2-2−232323−23111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i32000000−23230000002i3−2i33−3−333−3−33−3i3i3i−3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113−3−33−3i3i3i−3i3−3−33−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11-333-3−i3i3i3−i3−i3i3i3−i33+i32−3−i323−i32−3+i32−3−i323+i32−3+i323−i32000000000000000000000000000000
χ1494-4-44-2-2-20022222-22-2-2−232323−23111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i3200000023−230000002i3−2i33−3−333−3−333i−3i−3i3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−333−3−3i3i3i−3i−333−3−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ113-3-33−i3i3i3−i3−i3i3i3−i3−3+i323−i32−3−i323+i323−i32−3+i323+i32−3−i32000000000000000000000000000000
χ1504-4-44-2-2-20022222-22-2-2−232323−23111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i32000000−2323000000−2i32i33−3−333−3−333i−3i−3i3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ113−3−333i−3i−3i3i3−3−332ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11-333-3i3−i3−i3i3i3−i3−i3i33−i32−3+i323+i32−3−i32−3+i323−i32−3−i323+i32000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.