Finite Group Databasebeta

← Group #13051990

Character table — Group #13051990

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size11112222466667777777788121212121212141414141414141424242424282828282828282828282828282828282828282828282828282856565656
order12224444471414143366666644282828282828121212121212121228282828224466668888121212121212242424242424242412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ3111111111111111111111-1-111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ51111111111111−1−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+i3211111111−1−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
χ61111111111111−1−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+i321111-1-1-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ71111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32
χ81111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+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+i32−1+i321+i321+i321−i321−i32
χ91111111111111−1+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−i3211111111−1+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
χ101111111111111−1+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−i321111-1-1-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32
χ121111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−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−i32−1−i321−i321−i321+i321+i32
χ1311111-1-11-11111111111111-111-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1411111-1-11-11111111111111-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111-11-1
χ1511111-1-11-1111111111111-1111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-11-11
χ1611111-1-11-1111111111111-1111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-111-1-1-11-11
χ1711111-1-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i3211-1-111-1-1−1−i32−1−i32−1+i32−1+i3211-1-11+i321+i321−i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i321+i32−1+i321−i32
χ1811111-1-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321-111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i3211-1-1-1-1111+i321+i321−i321−i32-1-111−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i321+i32−1+i321−i32
χ1911111-1-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-11111-1-1−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i32−1−i321−i32−1+i32
χ2011111-1-11-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32-1-111-1-1111+i321+i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i32−1−i321−i32−1+i32
χ2111111-1-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i3211-1-111-1-1−1+i32−1+i32−1−i32−1−i3211-1-11−i321−i321+i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i321−i32−1−i321+i32
χ2211111-1-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321-111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i3211-1-1-1-1111−i321−i321+i321+i32-1-111−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i321−i32−1−i321+i32
χ2311111-1-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-11111-1-1−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i32−1+i321+i32−1−i32
χ2411111-1-11-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32-1-111-1-1111−i321−i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i32−1+i321+i32−1−i32
χ252222-222-2-222222222222200-2-222-2-2-2-22222-2-200000000000000000000-2-2000000000000
χ262222-222-2-22222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300-2-222-2-21+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i3000000000000000000001+i31−i3000000000000
χ272222-222-2-22222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300-2-222-2-21−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i3000000000000000000001−i31+i3000000000000
χ282222-2-2-2-2222222222222200-2-2-2-222-2-2-2-2-2-2-2-20000000000000000000022000000000000
χ292222-2-2-2-222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300-2-2-2-2221+i31−i31+i31+i31−i31−i31+i31−i300000000000000000000−1−i3−1+i3000000000000
χ302222-2-2-2-222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300-2-2-2-2221−i31+i31−i31−i31+i31+i31−i31+i300000000000000000000−1+i3−1−i3000000000000
χ3122-2-2200-2022-2-22222-2-2-2-2002-20000220000-2-200002-2002-22-20000000000000000000000
χ3222-2-2200-2022-2-22222-2-2-2-2002-20000220000-2-20000-2200-22-220000000000000000000000
χ3322-2-2200-2022-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3002-20000−1−i3−1+i300001+i31−i300002-200−1−i31+i3−1+i31−i30000000000000000000000
χ3422-2-2200-2022-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3002-20000−1−i3−1+i300001+i31−i30000-22001+i3−1−i31−i3−1+i30000000000000000000000
χ3522-2-2200-2022-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3002-20000−1+i3−1−i300001−i31+i300002-200−1+i31−i3−1−i31+i30000000000000000000000
χ3622-2-2200-2022-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3002-20000−1+i3−1−i300001−i31+i30000-22001−i3−1+i31+i3−1−i30000000000000000000000
χ3722-2-2-2002022-2-22222-2-2-2-200-220000-2-20000220000002i−2i000000002i−2i2i−2i00000000000000
χ3822-2-2-2002022-2-22222-2-2-2-200-220000-2-2000022000000−2i2i00000000−2i2i−2i2i00000000000000
χ3922-2-2-2002022-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300-2200001+i31−i30000−1−i3−1+i30000002i−2i000000002ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ15800000000000000
χ4022-2-2-2002022-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300-2200001+i31−i30000−1−i3−1+i3000000−2i2i00000000−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ15800000000000000
χ4122-2-2-2002022-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i300-2200001−i31+i30000−1+i3−1−i30000002i−2i000000002ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ166−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ16600000000000000
χ4222-2-2-2002022-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i300-2200001−i31+i30000−1+i3−1−i3000000−2i2i00000000−2ζ38−2ζ62−2ζ86−2ζ110−2ζ134−2ζ1582ζ38+2ζ62+2ζ86+2ζ110+2ζ134+2ζ158−2ζ22−2ζ46−2ζ94−2ζ118−2ζ142−2ζ1662ζ22+2ζ46+2ζ94+2ζ118+2ζ142+2ζ16600000000000000
χ432-2-2202-2002-22-222-2-222-2-200002-200002-22-200000000000000−i2i2−i2i2000000−i2i2−i2i2−i2i2−i2i20000
χ442-2-2202-2002-22-222-2-222-2-200002-200002-22-200000000000000i2−i2i2−i2000000i2−i2i2−i2i2−i2i2−i20000
χ452-2-2202-2002-22-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300002-20000−1−i31+i3−1+i31−i300000000000000−i2i2−i2i2000000ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ1670000
χ462-2-2202-2002-22-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300002-20000−1−i31+i3−1+i31−i300000000000000i2−i2i2−i2000000−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ1670000
χ472-2-2202-2002-22-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300002-20000−1+i31−i3−1−i31+i300000000000000−i2i2−i2i2000000ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ1570000
χ482-2-2202-2002-22-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300002-20000−1+i31−i3−1−i31+i300000000000000i2−i2i2−i2000000−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ1570000
χ492-2-220-22002-22-222-2-222-2-20000-220000-22-2200000000000000−i2i2i2−i2000000−i2i2i2−i2−i2i2i2−i20000
χ502-2-220-22002-22-222-2-222-2-20000-220000-22-2200000000000000i2−i2−i2i2000000i2−i2−i2i2i2−i2−i2i20000
χ512-2-220-22002-22-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000-2200001+i3−1−i31−i3−1+i300000000000000−i2i2i2−i2000000ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ1670000
χ522-2-220-22002-22-2−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000-2200001+i3−1−i31−i3−1+i300000000000000i2−i2−i2i2000000−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ1670000
χ532-2-220-22002-22-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000-2200001−i3−1+i31+i3−1−i300000000000000−i2i2i2−i2000000ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ1570000
χ542-2-220-22002-22-2−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000-2200001−i3−1+i31+i3−1−i300000000000000i2−i2−i2i2000000−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167ζ5+ζ23+ζ29+ζ47+ζ53+ζ71+ζ95+ζ101+ζ125+ζ143+ζ149+ζ167−ζ5−ζ23−ζ29−ζ47−ζ53−ζ71−ζ95−ζ101−ζ125−ζ143−ζ149−ζ167−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157ζ13+ζ31+ζ37+ζ55+ζ61+ζ79+ζ85+ζ103+ζ109+ζ127+ζ151+ζ157−ζ13−ζ31−ζ37−ζ55−ζ61−ζ79−ζ85−ζ103−ζ109−ζ127−ζ151−ζ1570000
χ554-44-4000004-4-4444-4-4-4-44400000000000000000000000000000000000000000000000000
χ564-44-4000004-4-44−2−2i3−2+2i32+2i32−2i32+2i32−2i3−2−2i3−2+2i300000000000000000000000000000000000000000000000000
χ574-44-4000004-4-44−2+2i3−2−2i32−2i32+2i32−2i32+2i3−2+2i3−2−2i300000000000000000000000000000000000000000000000000
χ58666666666-1-1-1-10000000066-1-1-1-1-1-100000000-1-1-1-1000000000000000000000000000000
χ59666666666-1-1-1-100000000-6-6-1-1-1-1-1-1000000001111000000000000000000000000000000
χ6066666-6-66-6-1-1-1-1000000006-6-1-1111100000000-1-111000000000000000000000000000000
χ6166666-6-66-6-1-1-1-100000000-66-1-111110000000011-1-1000000000000000000000000000000
χ626666-666-6-6-1-1-1-1000000000011-1-11100000000−i7i7−i7i7000000000000000000000000000000
χ636666-666-6-6-1-1-1-1000000000011-1-11100000000i7−i7i7−i7000000000000000000000000000000
χ646666-6-6-6-66-1-1-1-100000000001111-1-100000000−i7i7i7−i7000000000000000000000000000000
χ656666-6-6-6-66-1-1-1-100000000001111-1-100000000i7−i7−i7i7000000000000000000000000000000
χ661212-12-121200-120-2-2220000000000-220000000000000000000000000000000000000000000000
χ671212-12-12-1200120-2-22200000000002-20000000000000000000000000000000000000000000000
χ6812-1212-1200000-222-200000000000000−2i72i7000000000000000000000000000000000000000000
χ6912-1212-1200000-222-2000000000000002i7−2i7000000000000000000000000000000000000000000
χ7012-12-1212012-1200-22-22000000000000-2200000000000000000000000000000000000000000000
χ7112-12-12120-121200-22-220000000000002-200000000000000000000000000000000000000000000

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