Finite Group Databasebeta

← Group #72229667

Character table — Group #72229667

Order 2688.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97
size112222222444466666666777788881212121212121212121212121414141414141414141414141414242424242424242428282828282828285656565656565656565656565656565656565656112112112112112112
order1224488884488714282856565656336624881428282828285656565656566612121212242424242424242414142828565656561212121224242424661212161616162424242448484848484848484412121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111−1−i32−1+i32−1−i32−1+i321111111111111111−1−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+i3211111111−1−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−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ6111111111111111111111−1−i32−1+i32−1−i32−1+i321111111111111111−1−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+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32
χ7111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111111111−1−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+i32-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3211111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ8111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111111111−1−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+i32-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ9111111111111111111111−1+i32−1−i32−1+i32−1−i321111111111111111−1+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−i3211111111−1+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+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ10111111111111111111111−1+i32−1−i32−1+i32−1−i321111111111111111−1+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−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ11111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111111111−1+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−i32-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3211111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ12111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111111111−1+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−i32-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ1311111-1-111-1-11-11111-1-1-1-1111111-1-11-1-1-1-11-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-11-11-11-1
χ1411111-1-111-1-11-11111-1-1-1-1111111-1-11-1-1-1-11-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-11-11-11
χ1511111-1-111-1-11-11111-1-1-1-11111-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1-11-11-11
χ1611111-1-111-1-11-11111-1-1-1-11111-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1111-11-11-1
χ1711111-1-111-1-11-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211-1-11-1-1-1-11-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-11+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i3211-1-11+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i321+i32−1+i321−i32
χ1811111-1-111-1-11-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211-1-11-1-1-1-11-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-11+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32-1-1111+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32
χ1911111-1-111-1-11-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-1111-1-1-1-11-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321−i321−i32−1−i32−1+i321+i321−i321+i321−i321+i321−i3211-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i32−1−i321−i32−1+i32
χ2011111-1-111-1-11-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-1111-1-1-1-11-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321−i321−i32−1−i32−1+i321+i321−i321+i321−i321+i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32
χ2111111-1-111-1-11-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211-1-11-1-1-1-11-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-11−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i3211-1-11−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i321−i32−1−i321+i32
χ2211111-1-111-1-11-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211-1-11-1-1-1-11-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-11−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32-1-1111−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32
χ2311111-1-111-1-11-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-1111-1-1-1-11-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321+i321+i32−1+i32−1−i321−i321+i321−i321+i321−i321+i3211-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i32−1+i321+i32−1−i32
χ2411111-1-111-1-11-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-1111-1-1-1-11-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321+i321+i32−1+i32−1−i321−i321+i321−i321+i321−i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32
χ252222222-2-2-2-2-2222222222222200002-2-2-2-2222-2-2-2-22222222222-2-2-2-200000000-2-2-2-2-2-22200000000000000000000000000
χ262222222-2-2-2-2-2222222222−1−i3−1+i3−1−i3−1+i300002-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3000000001+i31+i31−i31−i31+i31−i3−1−i3−1+i300000000000000000000000000
χ272222222-2-2-2-2-2222222222−1+i3−1−i3−1+i3−1−i300002-2-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3000000001−i31−i31+i31+i31−i31+i3−1+i3−1−i300000000000000000000000000
χ2822222-2-2-2-222-2-22222-2-2-2-222220000222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000000000000000000000
χ2922222-2-2-2-222-2-22222-2-2-2-2−1−i3−1+i3−1−i3−1+i30000222222-2-2-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i300000000−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i300000000000000000000000000
χ3022222-2-2-2-222-2-22222-2-2-2-2−1+i3−1−i3−1+i3−1−i30000222222-2-2-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i300000000−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i300000000000000000000000000
χ3122-22-2002200-2022-2-200002222002i−2i-2000020022-2-2-2-222-2-20000222200002i2i−2i−2i0000-2-200000000002i−2i2i−2i00000000000000
χ3222-22-2002200-2022-2-20000222200−2i2i-2000020022-2-2-2-222-2-2000022220000−2i−2i2i2i0000-2-20000000000−2i2i−2i2i00000000000000
χ3322-22-2002200-2022-2-20000−1−i3−1+i3−1−i3−1+i3002i−2i-2000020022-2-21+i31−i3−1−i3−1+i31+i31−i30000−1−i3−1−i3−1+i3−1+i300002i2i−2i−2i00001+i31−i300000000002ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ15800000000000000
χ3422-22-2002200-2022-2-20000−1−i3−1+i3−1−i3−1+i300−2i2i-2000020022-2-21+i31−i3−1−i3−1+i31+i31−i30000−1−i3−1−i3−1+i3−1+i30000−2i−2i2i2i00001+i31−i30000000000−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ15800000000000000
χ3522-22-2002200-2022-2-20000−1+i3−1−i3−1+i3−1−i3002i−2i-2000020022-2-21−i31+i3−1+i3−1−i31−i31+i30000−1+i3−1+i3−1−i3−1−i300002i2i−2i−2i00001−i31+i300000000002ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ16600000000000000
χ3622-22-2002200-2022-2-20000−1+i3−1−i3−1+i3−1−i300−2i2i-2000020022-2-21−i31+i3−1+i3−1−i31−i31+i30000−1+i3−1+i3−1−i3−1−i30000−2i−2i2i2i00001−i31+i30000000000−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ16600000000000000
χ3722-22-200-2-2002022-2-2000022222-200-20000200-2-222-2-222-2-20000-2-2-2-222-2-200000000220022-2-20000000000000000000000
χ3822-22-200-2-2002022-2-200002222-2200-20000200-2-222-2-222-2-20000-2-2-2-2-2-222000000002200-2-2220000000000000000000000
χ3922-22-200-2-2002022-2-20000−1−i3−1+i3−1−i3−1+i32-200-20000200-2-2221+i31−i3−1−i3−1+i31+i31−i300001+i31+i31−i31−i322-2-200000000−1−i3−1+i300−1−i3−1+i31+i31−i30000000000000000000000
χ4022-22-200-2-2002022-2-20000−1−i3−1+i3−1−i3−1+i3-2200-20000200-2-2221+i31−i3−1−i3−1+i31+i31−i300001+i31+i31−i31−i3-2-22200000000−1−i3−1+i3001+i31−i3−1−i3−1+i30000000000000000000000
χ4122-22-200-2-2002022-2-20000−1+i3−1−i3−1+i3−1−i32-200-20000200-2-2221−i31+i3−1+i3−1−i31−i31+i300001−i31−i31+i31+i322-2-200000000−1+i3−1−i300−1+i3−1−i31−i31+i30000000000000000000000
χ4222-22-200-2-2002022-2-20000−1+i3−1−i3−1+i3−1−i3-2200-20000200-2-2221−i31+i3−1+i3−1−i31−i31+i300001−i31−i31+i31+i3-2-22200000000−1+i3−1−i3001−i31+i3−1+i3−1−i30000000000000000000000
χ4322-2-222200000-22222222222220000-20000-2-2-20000-2-2-2-2222222000000000000000000-2-20000−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i2000000
χ4422-2-222200000-22222222222220000-20000-2-2-20000-2-2-2-2222222000000000000000000-2-20000i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i2000000
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χ9012-12000−6i26i2−6i26i26-600-2227−272ζ29+2ζ31+2ζ37+2ζ47+2ζ53+2ζ55+2ζ85+2ζ103+2ζ109+2ζ143+2ζ149+2ζ1672ζ5+2ζ13+2ζ23+2ζ61+2ζ71+2ζ79+2ζ95+2ζ101+2ζ125+2ζ127+2ζ151+2ζ157−2ζ29−2ζ31−2ζ37−2ζ47−2ζ53−2ζ55−2ζ85−2ζ103−2ζ109−2ζ143−2ζ149−2ζ167−2ζ5−2ζ13−2ζ23−2ζ61−2ζ71−2ζ79−2ζ95−2ζ101−2ζ125−2ζ127−2ζ151−2ζ157000000000−1−7−1+71+71−7000i2−i2i14−i1400000000000000000000000000000000000000000000000000000000
χ9112-12000−6i26i2−6i26i26-600-22−27272ζ5+2ζ13+2ζ23+2ζ61+2ζ71+2ζ79+2ζ95+2ζ101+2ζ125+2ζ127+2ζ151+2ζ1572ζ29+2ζ31+2ζ37+2ζ47+2ζ53+2ζ55+2ζ85+2ζ103+2ζ109+2ζ143+2ζ149+2ζ167−2ζ5−2ζ13−2ζ23−2ζ61−2ζ71−2ζ79−2ζ95−2ζ101−2ζ125−2ζ127−2ζ151−2ζ157−2ζ29−2ζ31−2ζ37−2ζ47−2ζ53−2ζ55−2ζ85−2ζ103−2ζ109−2ζ143−2ζ149−2ζ167000000000−1+7−1−71−71+7000i2−i2−i14i1400000000000000000000000000000000000000000000000000000000
χ9212-12000−6i26i26i2−6i2-6600-2227−272ζ29+2ζ31+2ζ37+2ζ47+2ζ53+2ζ55+2ζ85+2ζ103+2ζ109+2ζ143+2ζ149+2ζ1672ζ5+2ζ13+2ζ23+2ζ61+2ζ71+2ζ79+2ζ95+2ζ101+2ζ125+2ζ127+2ζ151+2ζ157−2ζ29−2ζ31−2ζ37−2ζ47−2ζ53−2ζ55−2ζ85−2ζ103−2ζ109−2ζ143−2ζ149−2ζ167−2ζ5−2ζ13−2ζ23−2ζ61−2ζ71−2ζ79−2ζ95−2ζ101−2ζ125−2ζ127−2ζ151−2ζ1570000000001+71−7−1−7−1+7000−i2i2−i14i1400000000000000000000000000000000000000000000000000000000
χ9312-12000−6i26i26i2−6i2-6600-22−27272ζ5+2ζ13+2ζ23+2ζ61+2ζ71+2ζ79+2ζ95+2ζ101+2ζ125+2ζ127+2ζ151+2ζ1572ζ29+2ζ31+2ζ37+2ζ47+2ζ53+2ζ55+2ζ85+2ζ103+2ζ109+2ζ143+2ζ149+2ζ167−2ζ5−2ζ13−2ζ23−2ζ61−2ζ71−2ζ79−2ζ95−2ζ101−2ζ125−2ζ127−2ζ151−2ζ157−2ζ29−2ζ31−2ζ37−2ζ47−2ζ53−2ζ55−2ζ85−2ζ103−2ζ109−2ζ143−2ζ149−2ζ1670000000001−71+7−1+7−1−7000−i2i2i14−i1400000000000000000000000000000000000000000000000000000000
χ9412-120006i2−6i2−6i26i2-6600-2227−27−2ζ29−2ζ31−2ζ37−2ζ47−2ζ53−2ζ55−2ζ85−2ζ103−2ζ109−2ζ143−2ζ149−2ζ167−2ζ5−2ζ13−2ζ23−2ζ61−2ζ71−2ζ79−2ζ95−2ζ101−2ζ125−2ζ127−2ζ151−2ζ1572ζ29+2ζ31+2ζ37+2ζ47+2ζ53+2ζ55+2ζ85+2ζ103+2ζ109+2ζ143+2ζ149+2ζ1672ζ5+2ζ13+2ζ23+2ζ61+2ζ71+2ζ79+2ζ95+2ζ101+2ζ125+2ζ127+2ζ151+2ζ1570000000001+71−7−1−7−1+7000i2−i2i14−i1400000000000000000000000000000000000000000000000000000000
χ9512-120006i2−6i2−6i26i2-6600-22−2727−2ζ5−2ζ13−2ζ23−2ζ61−2ζ71−2ζ79−2ζ95−2ζ101−2ζ125−2ζ127−2ζ151−2ζ157−2ζ29−2ζ31−2ζ37−2ζ47−2ζ53−2ζ55−2ζ85−2ζ103−2ζ109−2ζ143−2ζ149−2ζ1672ζ5+2ζ13+2ζ23+2ζ61+2ζ71+2ζ79+2ζ95+2ζ101+2ζ125+2ζ127+2ζ151+2ζ1572ζ29+2ζ31+2ζ37+2ζ47+2ζ53+2ζ55+2ζ85+2ζ103+2ζ109+2ζ143+2ζ149+2ζ1670000000001−71+7−1+7−1−7000i2−i2−i14i1400000000000000000000000000000000000000000000000000000000
χ9612-120006i2−6i26i2−6i26-600-2227−27−2ζ29−2ζ31−2ζ37−2ζ47−2ζ53−2ζ55−2ζ85−2ζ103−2ζ109−2ζ143−2ζ149−2ζ167−2ζ5−2ζ13−2ζ23−2ζ61−2ζ71−2ζ79−2ζ95−2ζ101−2ζ125−2ζ127−2ζ151−2ζ1572ζ29+2ζ31+2ζ37+2ζ47+2ζ53+2ζ55+2ζ85+2ζ103+2ζ109+2ζ143+2ζ149+2ζ1672ζ5+2ζ13+2ζ23+2ζ61+2ζ71+2ζ79+2ζ95+2ζ101+2ζ125+2ζ127+2ζ151+2ζ157000000000−1−7−1+71+71−7000−i2i2−i14i1400000000000000000000000000000000000000000000000000000000
χ9712-120006i2−6i26i2−6i26-600-22−2727−2ζ5−2ζ13−2ζ23−2ζ61−2ζ71−2ζ79−2ζ95−2ζ101−2ζ125−2ζ127−2ζ151−2ζ157−2ζ29−2ζ31−2ζ37−2ζ47−2ζ53−2ζ55−2ζ85−2ζ103−2ζ109−2ζ143−2ζ149−2ζ1672ζ5+2ζ13+2ζ23+2ζ61+2ζ71+2ζ79+2ζ95+2ζ101+2ζ125+2ζ127+2ζ151+2ζ1572ζ29+2ζ31+2ζ37+2ζ47+2ζ53+2ζ55+2ζ85+2ζ103+2ζ109+2ζ143+2ζ149+2ζ167000000000−1+7−1−71−71+7000−i2i2i14−i1400000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 168 (ζ168 = 1); i = ζ42.