Finite Group Databasebeta

← Group #13164568

Character table — Group #13164568

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222233336666666666666666666666666666666666666666661212121212121212181818182424242424242424242424242424242424242424545454547272727272727272
order12442346661212121222442466669121212121818181818181818181818181818183636363636363636363636363636363633661212121222446699121218181818181836363636363636362244666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ4111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ5111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ6111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ71111-11-1-1-1111-1-11111-1-111-1-1111-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-1-1-11111-1-111-1-11-11-11-11-11-11-1
χ81111-11-1-1-1111-1-11111-1-111-1-1111-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1-1-1-1-11111-1-111-1-1-11-11-11-11-11-11
χ91111-11-1-1-1111-1-11111-1-111-1-1111-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ101111-11-1-1-1111-1-11111-1-111-1-1111-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-111+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ111111-11-1-1-1111-1-11111-1-111-1-1111-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11−i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ121111-11-1-1-1111-1-11111-1-111-1-1111-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-111−i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ1311-1-111-1111-1-1-1-111-1-11-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1111111-1-1-1-1-1-1-1-11-1-111-11-1-11-11
χ1411-1-111-1111-1-1-1-111-1-11-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-11111-1-1111111-1-1-1-1-1-1-1-1-111-1-11-111-11-1
χ1511-1-111-1111-1-1-1-111-1-11-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-1-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ1611-1-111-1111-1-1-1-111-1-11-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-111-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ1711-1-111-1111-1-1-1-111-1-11-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-1-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ1811-1-111-1111-1-1-1-111-1-11-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-111-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ1911-1-1-111-1-11-1-11111-1-1-1111-1-11-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1
χ2011-1-1-111-1-11-1-11111-1-1-1111-1-11-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111
χ2111-1-1-111-1-11-1-11111-1-1-1111-1-11-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ2211-1-1-111-1-11-1-11111-1-1-1111-1-11-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ2311-1-1-111-1-11-1-11111-1-1-1111-1-11-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ2411-1-1-111-1-11-1-11111-1-1-1111-1-11-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ25222222222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222000022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ26222222222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ27222222222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ282222-22-2-2-2222-2-22222-2-222-2-2-122-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111222222220000-2-2-1-1-2-21111-1-1-1-111-1-111000000000000
χ292222-22-2-2-2222-2-22222-2-222-2-2-122-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i300001+i31−i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000000000
χ302222-22-2-2-2222-2-22222-2-222-2-2-122-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i300001−i31+i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32000000000000
χ3122-2-222-2222-2-2-2-222-2-22-22222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2000022-1-1-2-2-1-1-1-1-1-111111111000000000000
χ3222-2-222-2222-2-2-2-222-2-22-22222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i30000−1−i3−1+i31+i321−i321+i31−i31+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ3322-2-222-2222-2-2-2-222-2-22-22222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i30000−1+i3−1−i31−i321+i321−i31+i31−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ3422-2-2-222-2-22-2-22222-2-2-2222-2-2-1-2-222-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-12222-2-2-2-20000-2-2-1-1221111-1-111-1-111-1-1000000000000
χ3522-2-2-222-2-22-2-22222-2-2-2222-2-2-1-2-222-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i300001+i31−i31+i321−i32−1−i3−1+i3−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000000000
χ3622-2-2-222-2-22-2-22222-2-2-2222-2-2-1-2-222-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i300001−i31+i31−i321+i32−1+i3−1−i3−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000000000
χ372-22i−2i02000-22i−2i002-22i−2i002-20022i−2i00222-2-2-200000000-22i2i2i2i−2i−2i−2i−2i0000000022-2-22i−2i2i−2i00000022000000-2-22i−2i002i−2i00000000000000
χ382-22i−2i02000-22i−2i002-22i−2i002-20022i−2i00222-2-2-200000000-22i2i2i2i−2i−2i−2i−2i00000000−1−i3−1+i31+i31−i3−2ζ152ζ15−2ζ32ζ3000000−1−i3−1+i30000001+i31−i3−2ζ152ζ1500−2ζ32ζ300000000000000
χ392-22i−2i02000-22i−2i002-22i−2i002-20022i−2i00222-2-2-200000000-22i2i2i2i−2i−2i−2i−2i00000000−1+i3−1−i31−i31+i3−2ζ32ζ3−2ζ152ζ15000000−1+i3−1−i30000001−i31+i3−2ζ32ζ300−2ζ152ζ1500000000000000
χ402-22i−2i02000-22i−2i002-22i−2i002-200-12i−2i00-1-1-1111−i3−i3−i3−i3i3i3i3i31−i−i−i−iiiii3333−3−3−3−322-2-22i−2i2i−2i000000-1-100−i3i3−i3i311−ii3−3−ii3−3000000000000
χ412-22i−2i02000-22i−2i002-22i−2i002-200-12i−2i00-1-1-1111−i3−i3−i3−i3i3i3i3i31−i−i−i−iiiii3333−3−3−3−3−1−i3−1+i31+i31−i3−2ζ152ζ15−2ζ32ζ30000001+i321−i3200−3+i323−i323+i32−3−i32−1−i32−1+i32ζ15−ζ15−2ζ3−ζ152ζ3+ζ15ζ3−ζ3ζ3+2ζ15−ζ3−2ζ15000000000000
χ422-22i−2i02000-22i−2i002-22i−2i002-200-12i−2i00-1-1-1111−i3−i3−i3−i3i3i3i3i31−i−i−i−iiiii3333−3−3−3−3−1+i3−1−i31−i31+i3−2ζ32ζ3−2ζ152ζ150000001−i321+i32003+i32−3−i32−3+i323−i32−1+i32−1−i32ζ3−ζ3ζ3+2ζ15−ζ3−2ζ15ζ15−ζ15−2ζ3−ζ152ζ3+ζ15000000000000
χ432-22i−2i02000-22i−2i002-22i−2i002-200-12i−2i00-1-1-1111i3i3i3i3−i3−i3−i3−i31−i−i−i−iiiii−3−3−3−3333322-2-22i−2i2i−2i000000-1-100i3−i3i3−i311−ii−33−ii−33000000000000
χ442-22i−2i02000-22i−2i002-22i−2i002-200-12i−2i00-1-1-1111i3i3i3i3−i3−i3−i3−i31−i−i−i−iiiii−3−3−3−33333−1−i3−1+i31+i31−i3−2ζ152ζ15−2ζ32ζ30000001+i321−i32003−i32−3+i32−3−i323+i32−1−i32−1+i32ζ15−ζ152ζ3+ζ15−2ζ3−ζ15ζ3−ζ3−ζ3−2ζ15ζ3+2ζ15000000000000
χ452-22i−2i02000-22i−2i002-22i−2i002-200-12i−2i00-1-1-1111i3i3i3i3−i3−i3−i3−i31−i−i−i−iiiii−3−3−3−33333−1+i3−1−i31−i31+i3−2ζ32ζ3−2ζ152ζ150000001−i321+i3200−3−i323+i323−i32−3+i32−1+i32−1−i32ζ3−ζ3−ζ3−2ζ15ζ3+2ζ15ζ15−ζ152ζ3+ζ15−2ζ3−ζ15000000000000
χ462-2−2i2i02000-2−2i2i002-2−2i2i002-2002−2i2i00222-2-2-200000000-2−2i−2i−2i−2i2i2i2i2i0000000022-2-2−2i2i−2i2i00000022000000-2-2−2i2i00−2i2i00000000000000
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χ986-6−6i6i0-30−3i33i333i−3i−3333-222i−2i001-1i3−i30−ii3−32ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ340−2ζ22−2ζ26−2ζ34−2ζ14+2ζ222ζ14+2ζ26+2ζ3402ζ22+2ζ26+2ζ342ζ14−2ζ22−2ζ14−2ζ26−2ζ3400−2ζ7−2ζ31+2ζ352ζ23+2ζ312ζ7−2ζ23−2ζ3502ζ7+2ζ31−2ζ35−2ζ23−2ζ31−2ζ7+2ζ23+2ζ3502ζ7+2ζ31+2ζ352ζ23−2ζ31−2ζ7−2ζ23−2ζ350−2ζ7−2ζ31−2ζ35−2ζ23+2ζ312ζ7+2ζ23+2ζ3500000000000000000000000000000000000000000000
χ996-6−6i6i0-30−3i33i333i−3i−3333-222i−2i001-1i3−i30−ii3−3−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ340−2ζ14+2ζ222ζ14+2ζ26+2ζ34−2ζ22−2ζ26−2ζ3402ζ14−2ζ22−2ζ14−2ζ26−2ζ342ζ22+2ζ26+2ζ34002ζ23+2ζ312ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ350−2ζ23−2ζ31−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ3502ζ23−2ζ31−2ζ7−2ζ23−2ζ352ζ7+2ζ31+2ζ350−2ζ23+2ζ312ζ7+2ζ23+2ζ35−2ζ7−2ζ31−2ζ3500000000000000000000000000000000000000000000
χ1006-6−6i6i0-30−3i33i333i−3i−3333-222i−2i001-1i3−i30−ii3−32ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ2202ζ14+2ζ26+2ζ34−2ζ22−2ζ26−2ζ34−2ζ14+2ζ220−2ζ14−2ζ26−2ζ342ζ22+2ζ26+2ζ342ζ14−2ζ22002ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ352ζ23+2ζ310−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ35−2ζ23−2ζ310−2ζ7−2ζ23−2ζ352ζ7+2ζ31+2ζ352ζ23−2ζ3102ζ7+2ζ23+2ζ35−2ζ7−2ζ31−2ζ35−2ζ23+2ζ3100000000000000000000000000000000000000000000
χ1016-6−6i6i0-303i3−3i333i−3i33−336-6−6i6i00-333i3−3i303i−3i33−33000000000000000000000000000000000000000000000000000000000000000000000000000
χ1026-6−6i6i0-303i3−3i333i−3i33−33-222i−2i001-1−i3i30−ii−332ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ3402ζ22+2ζ26+2ζ342ζ14−2ζ22−2ζ14−2ζ26−2ζ340−2ζ22−2ζ26−2ζ34−2ζ14+2ζ222ζ14+2ζ26+2ζ3400−2ζ7−2ζ31+2ζ352ζ23+2ζ312ζ7−2ζ23−2ζ3502ζ7+2ζ31−2ζ35−2ζ23−2ζ31−2ζ7+2ζ23+2ζ350−2ζ7−2ζ31−2ζ35−2ζ23+2ζ312ζ7+2ζ23+2ζ3502ζ7+2ζ31+2ζ352ζ23−2ζ31−2ζ7−2ζ23−2ζ3500000000000000000000000000000000000000000000
χ1036-6−6i6i0-303i3−3i333i−3i33−33-222i−2i001-1−i3i30−ii−33−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ3402ζ14−2ζ22−2ζ14−2ζ26−2ζ342ζ22+2ζ26+2ζ340−2ζ14+2ζ222ζ14+2ζ26+2ζ34−2ζ22−2ζ26−2ζ34002ζ23+2ζ312ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ350−2ζ23−2ζ31−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ350−2ζ23+2ζ312ζ7+2ζ23+2ζ35−2ζ7−2ζ31−2ζ3502ζ23−2ζ31−2ζ7−2ζ23−2ζ352ζ7+2ζ31+2ζ3500000000000000000000000000000000000000000000
χ1046-6−6i6i0-303i3−3i333i−3i33−33-222i−2i001-1−i3i30−ii−332ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ220−2ζ14−2ζ26−2ζ342ζ22+2ζ26+2ζ342ζ14−2ζ2202ζ14+2ζ26+2ζ34−2ζ22−2ζ26−2ζ34−2ζ14+2ζ22002ζ7−2ζ23−2ζ35−2ζ7−2ζ31+2ζ352ζ23+2ζ310−2ζ7+2ζ23+2ζ352ζ7+2ζ31−2ζ35−2ζ23−2ζ3102ζ7+2ζ23+2ζ35−2ζ7−2ζ31−2ζ35−2ζ23+2ζ310−2ζ7−2ζ23−2ζ352ζ7+2ζ31+2ζ352ζ23−2ζ3100000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.