Finite Group Databasebeta

← Group #72245523

Character table — Group #72245523

Order 2016.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222224446677771212121212121212121212121214141414141414141414141414141414282828282828282828282828282828282828282828727284848484848484848484
order1234612128242471433662421284256568484168168168168233466661212121212121212666812121224242424242424242424242424241428226666661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111
χ31111111111111111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111-1-111111111111-111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ5111111111111−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1+i321−1−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+i3211−1−i32−1+i3211−1−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
χ6111111111111−1−i32−1+i32−1−i32−1+i321111111111111-1−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32-1-11+i321−i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i3211-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32
χ7111111111111−1−i32−1+i32−1−i32−1+i32-1-1111111111111−1−i32−1+i321−1−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+i3211−1−i32−1+i3211−1−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
χ8111111111111−1−i32−1+i32−1−i32−1+i32-1-111111111111-1−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32-1-11+i321−i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32-1-1111+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32
χ9111111111111−1+i32−1−i32−1+i32−1−i3211111111111111−1+i32−1−i321−1+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−i3211−1+i32−1−i3211−1+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
χ10111111111111−1+i32−1−i32−1+i32−1−i321111111111111-1−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32-1-11−i321+i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i3211-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32
χ11111111111111−1+i32−1−i32−1+i32−1−i32-1-1111111111111−1+i32−1−i321−1+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−i3211−1+i32−1−i3211−1+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
χ12111111111111−1+i32−1−i32−1+i32−1−i32-1-111111111111-1−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32-1-11−i321+i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32-1-1111−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32
χ131111111-1-1-11111111-1111-1-111-1-1-1-11111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-11-1-1-1
χ141111111-1-1-11111111-1111-1-111-1-1-1-1-111-1-1-111-1-1111111-1-1-11-1-1-111-1-1-1-1-1-11111111-1-1111-11-11-1-1
χ151111111-1-1-1111111-11111-1-111-1-1-1-11111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11-1111
χ161111111-1-1-1111111-11111-1-111-1-1-1-1-111-1-1-111-1-1111111-1-1-11-1-1-111-1-1-1-1-1-1111111-111-1-1-11-11-111
χ171111111-1-1-111−1−i32−1+i32−1−i32−1+i321-1111-1-111-1-1-1-11−1−i32−1+i321−1−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+i32-11−1−i32−1+i32-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i321-11-1−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32
χ181111111-1-1-111−1−i32−1+i32−1−i32−1+i321-1111-1-111-1-1-1-1-1−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321-11+i321−i32111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-11−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32
χ191111111-1-1-111−1−i32−1+i32−1−i32−1+i32-11111-1-111-1-1-1-11−1−i32−1+i321−1−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+i32-11−1−i32−1+i32-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32-11-111+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i32
χ201111111-1-1-111−1−i32−1+i32−1−i32−1+i32-11111-1-111-1-1-1-1-1−1−i32−1+i32-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i321-11+i321−i32111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-111-11+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32
χ211111111-1-1-111−1+i32−1−i32−1+i32−1−i321-1111-1-111-1-1-1-11−1+i32−1−i321−1+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−i32-11−1+i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i321-11-1−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32
χ221111111-1-1-111−1+i32−1−i32−1+i32−1−i321-1111-1-111-1-1-1-1-1−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321-11−i321+i32111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-11−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32
χ231111111-1-1-111−1+i32−1−i32−1+i32−1−i32-11111-1-111-1-1-1-11−1+i32−1−i321−1+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−i32-11−1+i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32-11-111−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i32
χ241111111-1-1-111−1+i32−1−i32−1+i32−1−i32-11111-1-111-1-1-1-1-1−1+i32−1−i32-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i321-11−i321+i32111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-111-11−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32
χ25222-22-2-2000222222002-2200-2-20000222-22222-2-2-2-2-2-2-2-22220-2-2-200000000000000000000000000
χ26222-22-2-2000222222002-2200-2-20000-2222-2-22222-2-2-2-2-2-2-2-2-2022200000000000000000000000000
χ27222-22-2-200022−1−i3−1+i3−1−i3−1+i3002-2200-2-200002−1−i3−1+i3-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i31+i31+i31−i31−i32−1−i3−1+i30-21+i31−i300000000000000000000000000
χ28222-22-2-200022−1−i3−1+i3−1−i3−1+i3002-2200-2-20000-2−1−i3−1+i321+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31+i31−i31−i3-21+i31−i302−1−i3−1+i300000000000000000000000000
χ29222-22-2-200022−1+i3−1−i3−1+i3−1−i3002-2200-2-200002−1+i3−1−i3-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i31−i31−i31+i31+i32−1+i3−1−i30-21−i31+i300000000000000000000000000
χ30222-22-2-200022−1+i3−1−i3−1+i3−1−i3002-2200-2-20000-2−1+i3−1−i321−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31−i31+i31+i3-21−i31+i302−1+i3−1−i300000000000000000000000000
χ3122-12-1-1-12-1-122222200-12-122-1-1-1-1-1-12-1-1222-1-12222-1-1-1-1-1-1-12-1-1-1-1-12-1-12-1-12-1-12-1-1000000000000
χ3222-12-1-1-12-1-122222200-12-122-1-1-1-1-1-1-2-1-1-2-2-2-1-1-2-222-1-1-1-1111-2111112-1-12-1-1-211-211000000000000
χ3322-12-1-1-12-1-122−1−i3−1+i3−1−i3−1+i300-12-122-1-1-1-1-1-121+i321−i322−1−i3−1+i31+i321−i32−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i32-11+i321−i322-11+i321−i32-1-1−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i32000000000000
χ3422-12-1-1-12-1-122−1−i3−1+i3−1−i3−1+i300-12-122-1-1-1-1-1-1-21+i321−i32-21+i31−i31+i321−i321+i31−i3−1−i3−1+i31+i321+i321−i321−i321−1−i32−1+i32-21−1−i32−1+i3211−1−i31+i321+i32−1+i31−i321−i321+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000
χ3522-12-1-1-12-1-122−1+i3−1−i3−1+i3−1−i300-12-122-1-1-1-1-1-121−i321+i322−1+i3−1−i31−i321+i32−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i32-11−i321+i322-11−i321+i32-1-1−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i32000000000000
χ3622-12-1-1-12-1-122−1+i3−1−i3−1+i3−1−i300-12-122-1-1-1-1-1-1-21−i321+i32-21−i31+i31−i321+i321−i31+i3−1+i3−1−i31−i321−i321+i321+i321−1+i32−1−i32-21−1+i32−1−i3211−1+i31−i321−i32−1−i31+i321+i321−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000
χ3722-12-1-1-1-21122222200-12-1-2-2-1-111112-1-1222-1-12222-1-1-1-1-1-1-1-2-1-1-111-211-211-211-211000000000000
χ3822-12-1-1-1-21122222200-12-1-2-2-1-11111-2-1-1-2-2-2-1-1-2-222-1-1-1-11112111-1-1-211-2112-1-12-1-1000000000000
χ3922-12-1-1-1-21122−1−i3−1+i3−1−i3−1+i300-12-1-2-2-1-1111121+i321−i322−1−i3−1+i31+i321−i32−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i32-11+i321−i32-2-11+i321−i32111+i3−1−i32−1−i321−i3−1+i32−1+i321+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000
χ4022-12-1-1-1-21122−1−i3−1+i3−1−i3−1+i300-12-1-2-2-1-11111-21+i321−i32-21+i31−i31+i321−i321+i31−i3−1−i3−1+i31+i321+i321−i321−i321−1−i32−1+i3221−1−i32−1+i32-1-11+i3−1−i32−1−i321−i3−1+i32−1+i32−1−i31+i321+i32−1+i31−i321−i32000000000000
χ4122-12-1-1-1-21122−1+i3−1−i3−1+i3−1−i300-12-1-2-2-1-1111121−i321+i322−1+i3−1−i31−i321+i32−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i32-11−i321+i32-2-11−i321+i32111−i3−1+i32−1+i321+i3−1−i32−1−i321−i3−1+i32−1+i321+i3−1−i32−1−i32000000000000
χ4222-12-1-1-1-21122−1+i3−1−i3−1+i3−1−i300-12-1-2-2-1-11111-21−i321+i32-21−i31+i31−i321+i321−i31+i3−1+i3−1−i31−i321−i321+i321+i321−1+i32−1−i3221−1+i32−1−i32-1-11−i3−1+i32−1+i321+i3−1−i32−1−i32−1+i31−i321−i32−1−i31+i321+i32000000000000
χ4322-1-2-11103−322222200-1-2-1001133−3−32-1-1-222-1-1-2-2-2-21111-1-1-101113−303−303−303−303−3000000000000
χ4422-1-2-11103−322222200-1-2-1001133−3−3-2-1-12-2-2-1-122-2-211111110-1-1-1−3303−303−30−330−33000000000000
χ4522-1-2-11103−322−1−i3−1+i3−1−i3−1+i300-1-2-1001133−3−321+i321−i32-2−1−i3−1+i31+i321−i321+i31−i31+i31−i3−1−i32−1−i32−1+i32−1+i32-11+i321−i3201−1−i32−1+i323−30ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ166−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ1660−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1662ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ1660ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ166−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ1660−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1662ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ166000000000000
χ4622-1-2-11103−322−1−i3−1+i3−1−i3−1+i300-1-2-1001133−3−3-21+i321−i3221+i31−i31+i321−i32−1−i3−1+i31+i31−i3−1−i32−1−i32−1+i32−1+i321−1−i32−1+i320-11+i321−i32−330ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ166−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ1660−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1662ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ1660−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ166ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ16602ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ166−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ166000000000000
χ4722-1-2-11103−322−1+i3−1−i3−1+i3−1−i300-1-2-1001133−3−321−i321+i32-2−1+i3−1−i31−i321+i321−i31+i31−i31+i3−1+i32−1+i32−1−i32−1−i32-11−i321+i3201−1+i32−1−i323−30−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1662ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ1660ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ166−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ1660−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1662ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ1660ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ166−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ166000000000000
χ4822-1-2-11103−322−1+i3−1−i3−1+i3−1−i300-1-2-1001133−3−3-21−i321+i3221−i31+i31−i321+i32−1+i3−1−i31−i31+i3−1+i32−1+i32−1−i32−1−i321−1+i32−1−i320-11−i321+i32−330−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1662ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ1660ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ166−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ16602ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ166−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1660−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ166ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ166000000000000
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χ5022-1-2-1110−3322222200-1-2-10011−3−333-2-1-12-2-2-1-122-2-211111110-1-1-13−30−330−3303−303−3000000000000
χ5122-1-2-1110−3322−1−i3−1+i3−1−i3−1+i300-1-2-10011−3−33321+i321−i32-2−1−i3−1+i31+i321−i321+i31−i31+i31−i3−1−i32−1−i32−1+i32−1+i32-11+i321−i3201−1−i32−1+i32−330−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ166ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ16602ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ166−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1660−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ166ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ16602ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ166−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ166000000000000
χ5222-1-2-1110−3322−1−i3−1+i3−1−i3−1+i300-1-2-10011−3−333-21+i321−i3221+i31−i31+i321−i32−1−i3−1+i31+i31−i3−1−i32−1−i32−1+i32−1+i321−1−i32−1+i320-11+i321−i323−30−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ166ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ16602ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ166−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1660ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ166−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ1660−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1662ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ166000000000000
χ5322-1-2-1110−3322−1+i3−1−i3−1+i3−1−i300-1-2-10011−3−33321−i321+i32-2−1+i3−1−i31−i321+i321−i31+i31−i31+i3−1+i32−1+i32−1−i32−1−i32-11−i321+i3201−1+i32−1−i32−3302ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ166−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1660−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ166ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ16602ζ22+ζ38+2ζ46+ζ62+ζ86+2ζ94+ζ110+2ζ118+ζ134+2ζ142+ζ158+2ζ166−2ζ22−ζ38−2ζ46−ζ62−ζ86−2ζ94−ζ110−2ζ118−ζ134−2ζ142−ζ158−2ζ1660−ζ22−2ζ38−ζ46−2ζ62−2ζ86−ζ94−2ζ110−ζ118−2ζ134−ζ142−2ζ158−ζ166ζ22+2ζ38+ζ46+2ζ62+2ζ86+ζ94+2ζ110+ζ118+2ζ134+ζ142+2ζ158+ζ166000000000000
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χ604-4-20223−230004-4−2+2i3−2−2i32−2i32+2i300-2020023−23000001−i31+i3000−1+i3−1−i30000−4ζ22−2ζ38−4ζ46−2ζ62−2ζ86−4ζ94−2ζ110−4ζ118−2ζ134−4ζ142−2ζ158−4ζ1664ζ22+2ζ38+4ζ46+2ζ62+2ζ86+4ζ94+2ζ110+4ζ118+2ζ134+4ζ142+2ζ158+4ζ1662ζ22+4ζ38+2ζ46+4ζ62+4ζ86+2ζ94+4ζ110+2ζ118+4ζ134+2ζ142+4ζ158+2ζ166−2ζ22−4ζ38−2ζ46−4ζ62−4ζ86−2ζ94−4ζ110−2ζ118−4ζ134−2ζ142−4ζ158−2ζ166000000000000000000000000000000000
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χ7512-12-60663−63000-2200000010-114−14−33−ζ5+ζ29−ζ31+ζ53−ζ55+ζ79−ζ101−ζ103−ζ125+ζ127+ζ149+ζ151ζ5−ζ29+ζ31−ζ53+ζ55−ζ79+ζ101+ζ103+ζ125−ζ127−ζ149−ζ151−ζ13+ζ23+ζ37−ζ47−ζ61+ζ71+ζ85+ζ95+ζ109−ζ143−ζ157−ζ167ζ13−ζ23−ζ37+ζ47+ζ61−ζ71−ζ85−ζ95−ζ109+ζ143+ζ157+ζ1670000000000000000000000000000000000000000000000000
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χ7712-12-606−6363000-2200000010-114−143−3−ζ13+ζ23+ζ37−ζ47−ζ61+ζ71+ζ85+ζ95+ζ109−ζ143−ζ157−ζ167ζ13−ζ23−ζ37+ζ47+ζ61−ζ71−ζ85−ζ95−ζ109+ζ143+ζ157+ζ167−ζ5+ζ29−ζ31+ζ53−ζ55+ζ79−ζ101−ζ103−ζ125+ζ127+ζ149+ζ151ζ5−ζ29+ζ31−ζ53+ζ55−ζ79+ζ101+ζ103+ζ125−ζ127−ζ149−ζ1510000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 168 (ζ168 = 1); i = ζ42.