Finite Group Databasebeta

← Group #13157850

Character table — Group #13157850

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222224444444444444444444444444444442424242424242424242424243636363611112222222222444444444444444444444444444444242424242424242424242424363636361111222222222244444444444444444444444444444424242424242424242424242436363636
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11-111-1-111-1-1-1-1-1-1111111111111111111111111111111111111111111111-11-111-1-111-1-1-1-1-1-1111111111111111111111111111111111111111111111-11-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-11-11-1-111-1-111-1-1-1-111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-1-1-111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
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χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111
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χ13122222-1222-12-12-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1020200-1-100-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320−1−i30−1−i3001+i321+i32001+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320−1+i30−1+i3001−i321−i32001−i321−i320000
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χ13422222-1222-12-12-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-21111111111110-202001100-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3201+i30−1−i300−1−i32−1−i32001+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3201−i30−1+i300−1+i32−1+i32001−i321−i320000
χ1352222-1222-12-12-12-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12020-1-100-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i30−1−i301+i321+i32001+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i30−1+i301−i321−i32001−i321−i32000000
χ1362222-1222-12-12-12-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-20110011000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i301+i30−1−i32−1−i3200−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i301−i30−1+i32−1+i3200−1+i32−1+i32000000
χ1372222-1222-12-12-12-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-21111111120-20-1-10011000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i301+i301+i321+i3200−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i301−i301−i321−i3200−1+i32−1+i32000000
χ1382222-1222-12-12-12-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-211111111-20201100-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i31+i32−1−i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i30−1−i30−1−i32−1−i32001+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i31−i32−1+i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i30−1+i30−1+i32−1+i32001−i321−i32000000
χ13922-2-2222-2-2-222-2-22-2-2200-2-2-2-222220000000000000000000000000000002i−2i−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3001+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i30000000000000000000000000000002ζ22−2ζ22−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3001−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i30000000000000000000000000000002ζ14−2ζ14
χ14022-2-2222-2-2-222-2-22-2-2200-2-2-2-22222000000000000000000000000000000−2i2i−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3001+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3000000000000000000000000000000−2ζ222ζ22−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3001−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3000000000000000000000000000000−2ζ142ζ14
χ14122-2-222-22-2-222-2-22-2-222i−2i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i32ζ22−2ζ22−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i32ζ222ζ22−2ζ22−2ζ222ζ222ζ22−2ζ22−2ζ222ζ222ζ222ζ222ζ22−2ζ22−2ζ22−2ζ22−2ζ220000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i32ζ14−2ζ14−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i32ζ142ζ14−2ζ14−2ζ142ζ142ζ14−2ζ14−2ζ142ζ142ζ142ζ142ζ14−2ζ14−2ζ14−2ζ14−2ζ140000000000000000
χ14222-2-222-22-2-222-2-22-2-22−2i2i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−2ζ222ζ22−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−2ζ22−2ζ222ζ222ζ22−2ζ22−2ζ222ζ222ζ22−2ζ22−2ζ22−2ζ22−2ζ222ζ222ζ222ζ222ζ220000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−2ζ142ζ14−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−2ζ14−2ζ142ζ142ζ14−2ζ14−2ζ142ζ142ζ14−2ζ14−2ζ14−2ζ14−2ζ142ζ142ζ142ζ142ζ140000000000000000
χ14322-2-22-1-22-212-1-21-111-12i−2i2-1-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii000000−i3i3003−30000−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i31+i3−1−i32−1−i31+i321+i3−1−i321+i32−1−i32−1−i321+i322ζ22−2ζ22−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i322ζ222ζ22−2ζ22−2ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22000000−3+i323−i32002ζ14+ζ22−2ζ14−ζ220000−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i31−i3−1+i32−1+i31−i321−i3−1+i321−i32−1+i32−1+i321−i322ζ14−2ζ14−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i322ζ142ζ14−2ζ14−2ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ140000003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ220000
χ14422-2-22-1-22-212-1-21-111-12i−2i2-1-1-1-21112i2i−2i−2i−i−iii−i−i−i−iiiii000000i3−i300−330000−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i31+i3−1−i32−1−i31+i321+i3−1−i321+i32−1−i32−1−i321+i322ζ22−2ζ22−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i322ζ222ζ22−2ζ22−2ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ220000003−i32−3+i3200−2ζ14−ζ222ζ14+ζ220000−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i31−i3−1+i32−1+i31−i321−i3−1+i321−i32−1+i32−1+i321−i322ζ14−2ζ14−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i322ζ142ζ14−2ζ14−2ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14000000−3−i323+i3200ζ14+2ζ22−ζ14−2ζ220000
χ14522-2-22-1-22-212-1-21-111-1−2i2i2-1-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i000000−i3i300−330000−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i31+i3−1−i32−1−i31+i321+i3−1−i321+i32−1−i32−1−i321+i32−2ζ222ζ22−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−2ζ22−2ζ222ζ222ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22000000−3+i323−i3200−2ζ14−ζ222ζ14+ζ220000−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i31−i3−1+i32−1+i31−i321−i3−1+i321−i32−1+i32−1+i321−i32−2ζ142ζ14−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−2ζ14−2ζ142ζ142ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ140000003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ220000
χ14622-2-22-1-22-212-1-21-111-1−2i2i2-1-1-1-2111−2i−2i2i2iii−i−iiiii−i−i−i−i000000i3−i3003−30000−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i31+i3−1−i32−1−i31+i321+i3−1−i321+i32−1−i32−1−i321+i32−2ζ222ζ22−1−i31+i321+i321+i321+i3−1−i32−1−i32−1−i32−2ζ22−2ζ222ζ222ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ220000003−i32−3+i32002ζ14+ζ22−2ζ14−ζ220000−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i31−i3−1+i32−1+i31−i321−i3−1+i321−i32−1+i32−1+i321−i32−2ζ142ζ14−1+i31−i321−i321−i321−i3−1+i32−1+i32−1+i32−2ζ14−2ζ142ζ142ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14000000−3−i323+i3200−ζ14−2ζ22ζ14+2ζ220000
χ14722-2-2-12-221-2-121-2-111-12i−2i-12-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiii0000−i3i3003−3000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i3−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i32−1−i321+i322ζ22−2ζ221+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−ζ22−ζ22ζ22ζ222ζ222ζ22−2ζ22−2ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ220000−3+i323−i32002ζ14+ζ22−2ζ14−ζ22000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i3−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i32−1+i321−i322ζ14−2ζ141−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−ζ14−ζ14ζ14ζ142ζ142ζ14−2ζ14−2ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ1400003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ22000000
χ14822-2-2-12-221-2-121-2-111-12i−2i-12-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiii0000i3−i300−33000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i3−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i32−1−i321+i322ζ22−2ζ221+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−ζ22−ζ22ζ22ζ222ζ222ζ22−2ζ22−2ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ2200003−i32−3+i3200−2ζ14−ζ222ζ14+ζ22000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i3−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i32−1+i321−i322ζ14−2ζ141−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−ζ14−ζ14ζ14ζ142ζ142ζ14−2ζ14−2ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ140000−3−i323+i3200ζ14+2ζ22−ζ14−2ζ22000000
χ14922-2-2-12-221-2-121-2-111-1−2i2i-12-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−i0000−i3i300−33000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i3−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i32−1−i321+i32−2ζ222ζ221+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32ζ22ζ22−ζ22−ζ22−2ζ22−2ζ222ζ222ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ220000−3+i323−i3200−2ζ14−ζ222ζ14+ζ22000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i3−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i32−1+i321−i32−2ζ142ζ141−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32ζ14ζ14−ζ14−ζ14−2ζ14−2ζ142ζ142ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ1400003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ22000000
χ15022-2-2-12-221-2-121-2-111-1−2i2i-12-1-11-211ii−i−i−2i−2i2i2iiiii−i−i−i−i0000i3−i3003−3000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i3−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i32−1−i321+i32−2ζ222ζ221+i32−1−i31+i321+i32−1−i321+i3−1−i32−1−i32ζ22ζ22−ζ22−ζ22−2ζ22−2ζ222ζ222ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ2200003−i32−3+i32002ζ14+ζ22−2ζ14−ζ22000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i3−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i32−1+i321−i32−2ζ142ζ141−i32−1+i31−i321−i32−1+i321−i3−1+i32−1+i32ζ14ζ14−ζ14−ζ14−2ζ14−2ζ142ζ142ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ140000−3−i323+i3200−ζ14−2ζ22ζ14+2ζ22000000
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χ1734-4-444-200-4-2-4242-22-22000000000000006−6−666−66−6−66−660000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i31+i3002+2i31+i32+2i3−1−i3−2−2i3−1−i31+i3−1−i31+i3−1−i300000000000000−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ230000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i31−i3002−2i31−i32−2i3−1+i3−2+2i3−1+i31−i3−1+i31−i3−1+i300000000000000ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ230000000000000000
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χ1804-4-44-2-2002-222-221-11-10000−3i3i003i−3i−i6i6i6−i6−666−6ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i300−1−i31+i3−1−i3−1−i31+i3−1−i3−1−i321+i32−1−i321+i320000−3ζ223ζ22003ζ22−3ζ222ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ232ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ230000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i300−1+i31−i3−1+i3−1+i31−i3−1+i3−1+i321−i32−1+i321−i320000−3ζ143ζ14003ζ14−3ζ14−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ23−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ230000000000000000

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