Finite Group Databasebeta

← Group #72246980

Character table — Group #72246980

Order 3024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222446666667777121212121214141414141414141414141414141414141821212121212124242828282828282828282828282836363636363642424242424242424242424242424242428484848484108126126126126126
order123366362471212143366621214242333346666121212121212121222266662142336612121212121212121214284242848426666666666121212121212666661426666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1111111-111-1-11-111-1-1
χ311111111111111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111−1−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+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ411111111111111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32-1−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321+i321−i321−i321-1-11+i321+i321−i321−i3211−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i32111111-1-1-1−1−i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1−1−i32−1+i321+i321−i321-1−1−i32−1+i321+i321−i32
χ511111111111111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111−1+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−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ611111111111111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32-1−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321−i321+i321+i321-1-11−i321−i321+i321+i3211−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i32111111-1-1-1−1+i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1−1+i32−1−i321−i321+i321-1−1+i32−1−i321−i321+i32
χ7111111111-11-1-1111111111111111111111111111-1-1-1-1-1-1-11111111111111111-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ8111111111-11-1-111111111111111-11111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-1-11111-1-11111-1-1-1-1-1-1-111-1-1-11-1-111
χ9111111111-11-1-11−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11+i321+i321−i321−i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-111-1-11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321−i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i32
χ10111111111-11-1-11−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32-1−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321+i321−i321−i32-111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i321-111-1-1-111−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32-1−1−i32−1+i321+i321−i32-111+i321−i32−1−i32−1+i32
χ11111111111-11-1-11−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11−i321−i321+i321+i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-111-1-11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321+i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i32
χ12111111111-11-1-11−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32-1−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321−i321+i321+i32-111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i321-111-1-1-111−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32-1−1+i32−1−i321−i321+i32-111−i321+i32−1+i32−1−i32
χ1311111111-1111111111-1111111111111111111111-1111111111111111111111-11-1-111-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1
χ1411111111-1111111111-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111111-1-111-11-1-111
χ1511111111-111111−1−i32−1+i32−1−i32−1+i32-11111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1-111-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i321−i32-1-11+i321−i321+i321−i32
χ1611111111-111111−1−i32−1+i32−1−i32−1+i32-11111−1−i32−1+i32−1−i32−1+i32-1−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321+i321−i321−i32-1-1-11+i321+i321−i321−i3211−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i32-11-1-1111-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211+i321−i32−1−i32−1+i32-111+i321−i32−1−i32−1+i32
χ1711111111-111111−1+i32−1−i32−1+i32−1−i32-11111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1-111-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i321+i32-1-11−i321+i321−i321+i32
χ1811111111-111111−1+i32−1−i32−1+i32−1−i32-11111−1+i32−1−i32−1+i32−1−i32-1−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321−i321+i321+i32-1-1-11−i321−i321+i321+i3211−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i32-11-1-1111-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−i321+i32−1+i32−1−i32-111−i321+i32−1+i32−1−i32
χ1911111111-1-11-1-111111-11111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ2011111111-1-11-1-111111-111111111-11111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-11-1-1111-111-1-1
χ2111111111-1-11-1-11−1−i32−1+i32−1−i32−1+i32-11111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-11+i321+i321−i321−i3211−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i321+i321−i321+i321+i321−i321−i32-11+i321−i321+i321−i3211−1−i32−1+i32−1−i32−1+i32
χ2211111111-1-11-1-11−1−i32−1+i32−1−i32−1+i32-11111−1−i32−1+i32−1−i32−1+i32-1−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321+i321−i321−i32111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11111+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i3211+i321−i32−1−i32−1+i321-1−1−i32−1+i321+i321−i32
χ2311111111-1-11-1-11−1+i32−1−i32−1+i32−1−i32-11111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-11−i321−i321+i321+i3211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i321−i321+i321−i321−i321+i321+i32-11−i321+i321−i321+i3211−1+i32−1−i32−1+i32−1−i32
χ2411111111-1-11-1-11−1+i32−1−i32−1+i32−1−i32-11111−1+i32−1−i32−1+i32−1−i32-1−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321−i321+i321+i32111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11111−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i3211−i321+i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32
χ25222-1-12-1-12020022222-12-1-1222-1-12-1-122222222220000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-120-1-10020022220000000000-1-1-1-1-1000000
χ26222-1-12-1-12020022222-12-1-1222-1-1-2-1-122-2-2-2-2-2-2-2-20000000-1-1-1-1-1-111111111120-1-100-20022-2-200000000001-1-111000000
χ27222-1-12-1-1202002−1−i3−1+i3−1−i3−1+i3-12-1-12−1−i3−1+i31+i321−i3221+i321−i32−1−i3−1+i322−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000000-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321+i321−i321−i3220-1-100200−1−i3−1+i3−1−i3−1+i30000000000-11+i321−i321+i321−i32000000
χ28222-1-12-1-1202002−1−i3−1+i3−1−i3−1+i3-12-1-12−1−i3−1+i31+i321−i32-21+i321−i32−1−i3−1+i3-2-21+i31−i31+i31+i31−i31−i30000000-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3220-1-100-200−1−i3−1+i31+i31−i3000000000011+i321−i32−1−i32−1+i32000000
χ29222-1-12-1-1202002−1+i3−1−i3−1+i3−1−i3-12-1-12−1+i3−1−i31−i321+i3221−i321+i32−1+i3−1−i322−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000000-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321−i321+i321+i3220-1-100200−1+i3−1−i3−1+i3−1−i30000000000-11−i321+i321−i321+i32000000
χ30222-1-12-1-1202002−1+i3−1−i3−1+i3−1−i3-12-1-12−1+i3−1−i31−i321+i32-21−i321+i32−1+i3−1−i3-2-21−i31+i31−i31−i31+i31+i30000000-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3220-1-100-200−1+i3−1−i31−i31+i3000000000011−i321+i32−1+i32−1−i32000000
χ31222-1-12-1-1-202002222212-1-1222-1-12-1-122222222220000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-201100-200-2-2-2-2000000000011111000000
χ32222-1-12-1-1-202002222212-1-1222-1-1-2-1-122-2-2-2-2-2-2-2-20000000-1-1-1-1-1-1111111111-201100200-2-2220000000000-111-1-1000000
χ33222-1-12-1-1-202002−1−i3−1+i3−1−i3−1+i312-1-12−1−i3−1+i31+i321−i3221+i321−i32−1−i3−1+i322−1−i3−1+i3−1−i3−1−i3−1+i3−1+i30000000-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321+i321−i321−i32-201100-2001+i31−i31+i31−i300000000001−1−i32−1+i32−1−i32−1+i32000000
χ34222-1-12-1-1-202002−1−i3−1+i3−1−i3−1+i312-1-12−1−i3−1+i31+i321−i32-21+i321−i32−1−i3−1+i3-2-21+i31−i31+i31+i31−i31−i30000000-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-2011002001+i31−i3−1−i3−1+i30000000000-1−1−i32−1+i321+i321−i32000000
χ35222-1-12-1-1-202002−1+i3−1−i3−1+i3−1−i312-1-12−1+i3−1−i31−i321+i3221−i321+i32−1+i3−1−i322−1+i3−1−i3−1+i3−1+i3−1−i3−1−i30000000-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321−i321+i321+i32-201100-2001−i31+i31−i31+i300000000001−1+i32−1−i32−1+i32−1−i32000000
χ36222-1-12-1-1-202002−1+i3−1−i3−1+i3−1−i312-1-12−1+i3−1−i31−i321+i32-21−i321+i32−1+i3−1−i3-2-21−i31+i31−i31−i31+i31+i30000000-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-2011002001−i31+i3−1+i3−1−i30000000000-1−1+i32−1−i321−i321+i32000000
χ3722-122-1-1-1022-1-1222220-122-1-1-122222-1-1-1-122-1-1-1-10222222-1-1-1-1-1-12-1-122-1-1-1-10200-1-10-1-10000-1-1-1-122-1-1-1-100000000000
χ3822-122-1-1-1022-1-1222220-122-1-1-122-222-1-111-2-211110-2-2-2-2-2-2-1-1-1-1-1-1-211-2-211110200-1-10110000111122-1-1-1-100000000000
χ3922-122-1-1-1022-1-12−1−i3−1+i3−1−i3−1+i30-122-11+i321−i32−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1−1−i3−1+i31+i321+i321−i321−i32022−1−i3−1−i3−1+i3−1+i3-1-11+i321−i321+i321−i322-1-1−1−i3−1+i31+i321+i321−i321−i320200-1-10-1-100001+i321+i321−i321−i32−1−i3−1+i31+i321+i321−i321−i3200000000000
χ4022-122-1-1-1022-1-12−1−i3−1+i3−1−i3−1+i30-122-11+i321−i32−1−i3−1+i3-2−1−i3−1+i31+i321−i32111+i31−i3−1−i32−1−i32−1+i32−1+i320-2-21+i31+i31−i31−i3-1-11+i321−i321+i321−i32-2111+i31−i3−1−i32−1−i32−1+i32−1+i320200-1-10110000−1−i32−1−i32−1+i32−1+i32−1−i3−1+i31+i321+i321−i321−i3200000000000
χ4122-122-1-1-1022-1-12−1+i3−1−i3−1+i3−1−i30-122-11−i321+i32−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1−1+i3−1−i31−i321−i321+i321+i32022−1+i3−1+i3−1−i3−1−i3-1-11−i321+i321−i321+i322-1-1−1+i3−1−i31−i321−i321+i321+i320200-1-10-1-100001−i321−i321+i321+i32−1+i3−1−i31−i321−i321+i321+i3200000000000
χ4222-122-1-1-1022-1-12−1+i3−1−i3−1+i3−1−i30-122-11−i321+i32−1+i3−1−i3-2−1+i3−1−i31−i321+i32111−i31+i3−1+i32−1+i32−1−i32−1−i320-2-21−i31−i31+i31+i3-1-11−i321+i321−i321+i32-2111−i31+i3−1+i32−1+i32−1−i32−1−i320200-1-10110000−1+i32−1+i32−1−i32−1−i32−1+i3−1−i31−i321−i321+i321+i3200000000000
χ4322-122-1-1-10-2211222220-122-1-1-122222-1-1-1-122-1-1-1-10-2-2-2-2-2-2-1-1-1-1-1-12-1-122-1-1-1-10-2001101100001111-2-2111100000000000
χ4422-122-1-1-10-2211222220-122-1-1-122-222-1-111-2-211110222222-1-1-1-1-1-1-211-2-211110-200110-1-10000-1-1-1-1-2-2111100000000000
χ4522-122-1-1-10-22112−1−i3−1+i3−1−i3−1+i30-122-11+i321−i32−1−i3−1+i32−1−i3−1+i31+i321−i32-1-1−1−i3−1+i31+i321+i321−i321−i320-2-21+i31+i31−i31−i3-1-11+i321−i321+i321−i322-1-1−1−i3−1+i31+i321+i321−i321−i320-200110110000−1−i32−1−i32−1+i32−1+i321+i31−i3−1−i32−1−i32−1+i32−1+i3200000000000
χ4622-122-1-1-10-22112−1−i3−1+i3−1−i3−1+i30-122-11+i321−i32−1−i3−1+i3-2−1−i3−1+i31+i321−i32111+i31−i3−1−i32−1−i32−1+i32−1+i32022−1−i3−1−i3−1+i3−1+i3-1-11+i321−i321+i321−i32-2111+i31−i3−1−i32−1−i32−1+i32−1+i320-200110-1-100001+i321+i321−i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i3200000000000
χ4722-122-1-1-10-22112−1+i3−1−i3−1+i3−1−i30-122-11−i321+i32−1+i3−1−i32−1+i3−1−i31−i321+i32-1-1−1+i3−1−i31−i321−i321+i321+i320-2-21−i31−i31+i31+i3-1-11−i321+i321−i321+i322-1-1−1+i3−1−i31−i321−i321+i321+i320-200110110000−1+i32−1+i32−1−i32−1−i321−i31+i3−1+i32−1+i32−1−i32−1−i3200000000000
χ4822-122-1-1-10-22112−1+i3−1−i3−1+i3−1−i30-122-11−i321+i32−1+i3−1−i3-2−1+i3−1−i31−i321+i32111−i31+i3−1+i32−1+i32−1−i32−1−i32022−1+i3−1+i3−1−i3−1−i3-1-11−i321+i321−i321+i32-2111−i31+i3−1+i32−1+i32−1−i32−1−i320-200110-1-100001−i321−i321+i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i3200000000000
χ492-222-2-22-200200-222-2-2022-2-222220-2-2-2-20000000002-22-22-22-222-2-200000000000000002-200002-22-200000000000000000
χ502-222-2-22-200200-222-2-2022-2-222220-2-2-2-2000000000-22-22-222-222-2-20000000000000000-220000-22-2200000000000000000
χ512-222-2-22-200200-2−1−i3−1+i31+i31−i3022-2-2−1−i3−1+i3−1−i3−1+i301+i31−i31+i31−i30000000002-2−1−i31+i3−1+i31−i32-2−1−i3−1+i31+i31−i300000000000000002-20000−1−i31+i3−1+i31−i300000000000000000
χ522-222-2-22-200200-2−1−i3−1+i31+i31−i3022-2-2−1−i3−1+i3−1−i3−1+i301+i31−i31+i31−i3000000000-221+i3−1−i31−i3−1+i32-2−1−i3−1+i31+i31−i30000000000000000-2200001+i3−1−i31−i3−1+i300000000000000000
χ532-222-2-22-200200-2−1+i3−1−i31−i31+i3022-2-2−1+i3−1−i3−1+i3−1−i301−i31+i31−i31+i30000000002-2−1+i31−i3−1−i31+i32-2−1+i3−1−i31−i31+i300000000000000002-20000−1+i31−i3−1−i31+i300000000000000000
χ542-222-2-22-200200-2−1+i3−1−i31−i31+i3022-2-2−1+i3−1−i3−1+i3−1−i301−i31+i31−i31+i3000000000-221−i3−1+i31+i3−1−i32-2−1+i3−1−i31−i31+i30000000000000000-2200001−i3−1+i31+i3−1−i300000000000000000
χ552-2-12-21-110023−3-222-2-20-12-21-1-1220-2-2113−3003−33−302-22-22-2-11-1-11103−3003−33−300003−30-110000-11-11003−33−300000000000
χ562-2-12-21-110023−3-222-2-20-12-21-1-1220-2-211−3300−33−330-22-22-22-11-1-1110−3300−33−3300003−301-100001-11-1003−33−300000000000
χ572-2-12-21-110023−3-2−1−i3−1+i31+i31−i30-12-211+i321−i32−1−i3−1+i301+i31−i3−1−i32−1+i323−300ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ8302-2−1−i31+i3−1+i31−i3-111+i321−i32−1−i32−1+i3203−300ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ8300003−30-1100001+i32−1−i321−i32−1+i3200ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ8300000000000
χ582-2-12-21-110023−3-2−1−i3−1+i31+i31−i30-12-211+i321−i32−1−i3−1+i301+i31−i3−1−i32−1+i32−3300−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ830-221+i3−1−i31−i3−1+i3-111+i321−i32−1−i32−1+i320−3300−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ8300003−301-10000−1−i321+i32−1+i321−i3200ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ8300000000000
χ592-2-12-21-110023−3-2−1+i3−1−i31−i31+i30-12-211−i321+i32−1+i3−1−i301−i31+i3−1+i32−1−i323−300−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ8302-2−1+i31−i3−1−i31+i3-111−i321+i32−1+i32−1−i3203−300−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ8300003−30-1100001−i32−1+i321+i32−1−i3200−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ8300000000000
χ602-2-12-21-110023−3-2−1+i3−1−i31−i31+i30-12-211−i321+i32−1+i3−1−i301−i31+i3−1+i32−1−i32−33002ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ830-221−i3−1+i31+i3−1−i3-111−i321+i32−1+i32−1−i320−33002ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ8300003−301-10000−1+i321−i32−1−i321+i3200−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ8300000000000
χ612-2-12-21-11002−33-222-2-20-12-21-1-1220-2-2113−3003−33−30-22-22-22-11-1-11103−3003−33−30000−3301-100001-11-100−33−3300000000000
χ622-2-12-21-11002−33-222-2-20-12-21-1-1220-2-211−3300−33−3302-22-22-2-11-1-1110−3300−33−330000−330-110000-11-1100−33−3300000000000
χ632-2-12-21-11002−33-2−1−i3−1+i31+i31−i30-12-211+i321−i32−1−i3−1+i301+i31−i3−1−i32−1+i323−300ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ830-221+i3−1−i31−i3−1+i3-111+i321−i32−1−i32−1+i3203−300ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ83−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ830000−3301-10000−1−i321+i32−1+i321−i3200−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ8300000000000
χ642-2-12-21-11002−33-2−1−i3−1+i31+i31−i30-12-211+i321−i32−1−i3−1+i301+i31−i3−1−i32−1+i32−3300−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ8302-2−1−i31+i3−1+i31−i3-111+i321−i32−1−i32−1+i320−3300−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ830000−330-1100001+i32−1−i321−i32−1+i3200−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−2ζ55−ζ59−2ζ67−ζ71−2ζ79−ζ83ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+2ζ55+ζ59+2ζ67+ζ71+2ζ79+ζ832ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+ζ55+2ζ59+ζ67+2ζ71+ζ79+2ζ83−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−ζ55−2ζ59−ζ67−2ζ71−ζ79−2ζ8300000000000
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Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.