Finite Group Databasebeta

← Group #13160243

Character table — Group #13160243

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11222222222222233444444444444444444444446666666666688888888888888888888812121212121212121212121216161616161616161618181818242424242424242424363636365454545472144216
order1233333466666884433336666121212121224242424242424242424288121212121212121241212121212121212121212122424242424242424666624242424242424241212121212121212121616161626666666648484848161616164122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ6111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ7111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11
χ8111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1
χ92222222222222-2-2222222222222222-2-2-2-2-2-2-2-2-2-22-2-2222222220000000002222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000
χ102222222222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000002222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000
χ112222222-222222002222222222-2-2-2-2-20000000000-20022222222000000000-2-2-2-200000000-2-2-2-20000000000000000022−2−200000000022−2−222−2−2000
χ122222222-222222002222222222-2-2-2-2-20000000000-20022222222000000000-2-2-2-200000000-2-2-2-200000000000000000−2−222000000000−2−222−2−222000
χ132222222-22222200-2-222222222-2-2-2-2-20000000000200-2-2-2-2-2-2-2-2000000000-2-2-2-20000000022220000000000000000022−2−200000000022−2−2−2−222000
χ142222222-22222200-2-222222222-2-2-2-2-20000000000200-2-2-2-2-2-2-2-2000000000-2-2-2-200000000222200000000000000000−2−222000000000−2−22222−2−2000
χ152222-1-1-122-1-1-1222222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-10000222-1-1-1-1-1-100000000000
χ162222-1-1-122-1-1-1222222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-2-2-21111112-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-21111110000-2-2-211111100000000000
χ172222-1-1-122-1-1-1222-2-22-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-2-2-2-2-2111111222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2111-2-2111111222-1-1-1-1-1-10000-2-2-211111100000000000
χ182222-1-1-122-1-1-1222-2-22-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-2-2-2-2-2111111-2-2-21111112-1-1-122-1-1-1-1-1-1-2111-2-2111111-2-2-21111110000222-1-1-1-1-1-100000000000
χ192222-1-1-122-1-1-12-2-2222-1-1-12-1-1-122-1-1-1-2-2111111-2-22-2-222-1-1-1-1-1-1000−i3−i3−i3i3i3i32-1-1-1-2-21111112-1-1-1-2-2111111000−i3−i3−i3i3i3i30000000−i3−i3−i3i3i3i300000000000
χ202222-1-1-122-1-1-12-2-2222-1-1-12-1-1-122-1-1-1-2-2111111-2-22-2-222-1-1-1-1-1-1000i3i3i3−i3−i3−i32-1-1-1-2-21111112-1-1-1-2-2111111000i3i3i3−i3−i3−i30000000i3i3i3−i3−i3−i300000000000
χ212222-1-1-122-1-1-12-2-2-2-22-1-1-12-1-1-122-1-1-1-2-2111111-2-2-222-2-2111111000−i3−i3−i3i3i3i32-1-1-1-2-2111111-211122-1-1-1-1-1-1000−i3−i3−i3i3i3i30000000i3i3i3−i3−i3−i300000000000
χ222222-1-1-122-1-1-12-2-2-2-22-1-1-12-1-1-122-1-1-1-2-2111111-2-2-222-2-2111111000i3i3i3−i3−i3−i32-1-1-1-2-2111111-211122-1-1-1-1-1-1000i3i3i3−i3−i3−i30000000−i3−i3−i3i3i3i300000000000
χ23222-12-1-12-12-1-122222-12-1-1-12-1-12-12-1-1-1-122-1-1-1-122222-1-122-1-1-1-12-1-12-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12-1-12-1-12-1-100002-1-12-1-12-1-100000000000
χ24222-12-1-12-12-1-122222-12-1-1-12-1-12-12-1-1-1-122-1-1-1-122222-1-122-1-1-1-1-211-211-211-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-211-211-2110000-211-211-21100000000000
χ25222-12-1-12-12-1-1222-2-2-12-1-1-12-1-12-12-1-1-1-122-1-1-1-122-2-2-211-2-211112-1-12-1-12-1-1-12-1-1-1-122-1-1-1-11-21111-2-211112-1-12-1-12-1-10000-211-211-21100000000000
χ26222-12-1-12-12-1-1222-2-2-12-1-1-12-1-12-12-1-1-1-122-1-1-1-122-2-2-211-2-21111-211-211-211-12-1-1-1-122-1-1-1-11-21111-2-21111-211-211-21100002-1-12-1-12-1-100000000000
χ27222-12-1-12-12-1-12-2-222-12-1-1-12-1-12-12-1-111-2-21111-2-22-2-2-1-122-1-1-1-10−i3i30−i3i30−i3i3-12-1-111-2-21111-12-1-111-2-211110−i3i30−i3i30−i3i300000−i3i30−i3i30−i3i300000000000
χ28222-12-1-12-12-1-12-2-222-12-1-1-12-1-12-12-1-111-2-21111-2-22-2-2-1-122-1-1-1-10i3−i30i3−i30i3−i3-12-1-111-2-21111-12-1-111-2-211110i3−i30i3−i30i3−i300000i3−i30i3−i30i3−i300000000000
χ29222-12-1-12-12-1-12-2-2-2-2-12-1-1-12-1-12-12-1-111-2-21111-2-2-22211-2-211110−i3i30−i3i30−i3i3-12-1-111-2-211111-211-1-122-1-1-1-10−i3i30−i3i30−i3i300000i3−i30i3−i30i3−i300000000000
χ30222-12-1-12-12-1-12-2-2-2-2-12-1-1-12-1-12-12-1-111-2-21111-2-2-22211-2-211110i3−i30i3−i30i3−i3-12-1-111-2-211111-211-1-122-1-1-1-10i3−i30i3−i30i3−i300000−i3i30−i3i30−i3i300000000000
χ31222-1-12-12-1-12-122222-1-12-1-1-12-12-1-12-1-1-1-1-122-1-122222-1-1-1-122-1-12-1-1-12-1-1-12-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12-1-1-12-1-1-1200002-1-1-12-1-1-1200000000000
χ32222-1-12-12-1-12-122222-1-12-1-1-12-12-1-12-1-1-1-1-122-1-122222-1-1-1-122-1-1-2111-2111-2-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2111-2111-20000-2111-2111-200000000000
χ33222-1-12-12-1-12-1222-2-2-1-12-1-1-12-12-1-12-1-1-1-1-122-1-122-2-2-21111-2-2112-1-1-12-1-1-12-1-12-1-1-1-1-122-1-111-211111-2-2112-1-1-12-1-1-120000-2111-2111-200000000000
χ34222-1-12-12-1-12-1222-2-2-1-12-1-1-12-12-1-12-1-1-1-1-122-1-122-2-2-21111-2-211-2111-2111-2-1-12-1-1-1-1-122-1-111-211111-2-211-2111-2111-200002-1-1-12-1-1-1200000000000
χ35222-1-12-12-1-12-12-2-222-1-12-1-1-12-12-1-12-11111-2-211-2-22-2-2-1-1-1-122-1-10−i3i3i30−i3−i3i30-1-12-11111-2-211-1-12-11111-2-2110−i3i3i30−i3−i3i3000000−i3i3i30−i3−i3i3000000000000
χ36222-1-12-12-1-12-12-2-222-1-12-1-1-12-12-1-12-11111-2-211-2-22-2-2-1-1-1-122-1-10i3−i3−i30i3i3−i30-1-12-11111-2-211-1-12-11111-2-2110i3−i3−i30i3i3−i3000000i3−i3−i30i3i3−i3000000000000
χ37222-1-12-12-1-12-12-2-2-2-2-1-12-1-1-12-12-1-12-11111-2-211-2-2-2221111-2-2110−i3i3i30−i3−i3i30-1-12-11111-2-21111-21-1-1-1-122-1-10−i3i3i30−i3−i3i3000000i3−i3−i30i3i3−i3000000000000
χ38222-1-12-12-1-12-12-2-2-2-2-1-12-1-1-12-12-1-12-11111-2-211-2-2-2221111-2-2110i3−i3−i30i3i3−i30-1-12-11111-2-21111-21-1-1-1-122-1-10i3−i3−i30i3i3−i3000000−i3i3i30−i3−i3i3000000000000
χ39222-1-1-122-1-1-1222222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-12222222-1-1-1-1-1-1222-1-1-1-12-12-1-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-100002-1-1-1-12-12-100000000000
χ40222-1-1-122-1-1-1222222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-12222222-1-1-1-1-1-122-21111-21-21-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-21111-21-210000-21111-21-2100000000000
χ41222-1-1-122-1-1-12222-2-2-1-1-12-1-1-122-1-1-12-1-1-1-1-1-12222-2-2-2111111-2-22-1-1-1-12-12-1-1-1-12-1-1-1-1-1-122111-2111111-2-22-1-1-1-12-12-10000-21111-21-2100000000000
χ42222-1-1-122-1-1-12222-2-2-1-1-12-1-1-122-1-1-12-1-1-1-1-1-12222-2-2-2111111-2-2-21111-21-21-1-1-12-1-1-1-1-1-122111-2111111-2-2-21111-21-2100002-1-1-1-12-12-100000000000
χ43222-1-1-122-1-1-122-2-222-1-1-12-1-1-122-1-1-12111111-2-2-2-22-2-2-1-1-1-1-1-1220−i3i3−i3i30i30−i3-1-1-12111111-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i300000−i3i3−i3i30i30−i300000000000
χ44222-1-1-122-1-1-122-2-222-1-1-12-1-1-122-1-1-12111111-2-2-2-22-2-2-1-1-1-1-1-1220i3−i3i3−i30−i30i3-1-1-12111111-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i300000i3−i3i3−i30−i30i300000000000
χ45222-1-1-122-1-1-122-2-2-2-2-1-1-12-1-1-122-1-1-12111111-2-2-2-2-222111111-2-20−i3i3−i3i30i30−i3-1-1-12111111-2-2111-2-1-1-1-1-1-1220−i3i3−i3i30i30−i300000i3−i3i3−i30−i30i300000000000
χ46222-1-1-122-1-1-122-2-2-2-2-1-1-12-1-1-122-1-1-12111111-2-2-2-2-222111111-2-20i3−i3i3−i30−i30i3-1-1-12111111-2-2111-2-1-1-1-1-1-1220i3−i3i3−i30−i30i300000−i3i3−i3i30i30−i300000000000
χ4722-1222222222-12200-1-1-1-1-1-1-1-1-1222222222222-1-100000000000222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-12222000000000-1-1-1-100002-10
χ4822-1222222222-12200-1-1-1-1-1-1-1-1-1222222222222-1-100000000000222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-2-2-2-200000000011110000-210
χ4922-1222222222-12200-1-1-1-1-1-1-1-1-1222222222222-1-100000000000-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000000001111111112222000000000-1-1-1-10000-210
χ5022-1222222222-12200-1-1-1-1-1-1-1-1-1222222222222-1-100000000000-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111-2-2-2-2000000000111100002-10
χ512-2222220-2-2-2-2-22−22i−2i2222-2-2-2-2000002−22−22−22−22−20−i2i22i−2i2i−2i2i−2i2i−2i00000000000002−22−22−22−20000−i2i2−i2i2−i2i2−i2i2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000
χ522-2222220-2-2-2-2-22−22i−2i2222-2-2-2-2000002−22−22−22−22−20−i2i22i−2i2i−2i2i−2i2i−2i00000000000002−22−22−22−20000−i2i2−i2i2−i2i2−i2i2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000
χ532-2222220-2-2-2-2-22−2−2i2i2222-2-2-2-2000002−22−22−22−22−20i2−i2−2i2i−2i2i−2i2i−2i2i00000000000002−22−22−22−20000i2−i2i2−i2i2−i2i2−i2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000
χ542-2222220-2-2-2-2-22−2−2i2i2222-2-2-2-2000002−22−22−22−22−20i2−i2−2i2i−2i2i−2i2i−2i2i00000000000002−22−22−22−20000i2−i2i2−i2i2−i2i2−i2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000
χ552-2222220-2-2-2-2-2−222i−2i2222-2-2-2-200000−22−22−22−22−220i2−i22i−2i2i−2i2i−2i2i−2i0000000000000−22−22−22−220000i2−i2i2−i2i2−i2i2−i2000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000
χ562-2222220-2-2-2-2-2−222i−2i2222-2-2-2-200000−22−22−22−22−220i2−i22i−2i2i−2i2i−2i2i−2i0000000000000−22−22−22−220000i2−i2i2−i2i2−i2i2−i2000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000
χ572-2222220-2-2-2-2-2−22−2i2i2222-2-2-2-200000−22−22−22−22−220−i2i2−2i2i−2i2i−2i2i−2i2i0000000000000−22−22−22−220000−i2i2−i2i2−i2i2−i2i2000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000
χ582-2222220-2-2-2-2-2−22−2i2i2222-2-2-2-200000−22−22−22−22−220−i2i2−2i2i−2i2i−2i2i−2i2i0000000000000−22−22−22−220000−i2i2−i2i2−i2i2−i2i2000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000
χ594444-2-2-2-44-2-2-2400444-2-2-24-2-2-2-4-42220000000000-40044-2-2-2-2-2-2000000000-422200000000-422200000000000000000000000000000000000000000
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χ984-44-2-2-240222-4-422−224i−4i-2-2-24222-400000−22−22−2222−2222−220−2i22i2−2i2i−2i2i−2i2i4i−4i0000000000000−22−22−2222−220000i2−i2i2−i2i2−i2−2i22i2000000000000000000000000000000000
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χ1044-4-244440-4-4-4-42−222200-2-2-2-2222200000−2222−2222−2222−22222−20000000000000000000000002−22−22−22−20000000000000000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000000
χ1054-4-244440-4-4-4-42−222200-2-2-2-2222200000−2222−2222−2222−22222−20000000000000000000000002−22−22−22−2000000000000000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000000
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χ10788-4-48-4-4-8-48-4-4-400002-4222-42244-844000000000000000000000000000000-24-2-200000000000000000000000000000000000000000000000000000
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χ1128-8-4-48-4-404-844442−42002-422-24-2-200000−222242−42−2222−2222−22220000000000000000000000002−2−22222−22−2000000000000000000000000000000000000000000000
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χ1148-8-4-4-48-4044-84442−420022-42-2-24-200000−2222−222242−42−2222−22220000000000000000000000002−22−2−22222−2000000000000000000000000000000000000000000000
χ1158-8-4-4-48-4044-844−42420022-42-2-24-20000022−2222−22−424222−2222−22000000000000000000000000−22−2222−22−22000000000000000000000000000000000000000000000
χ1168-8-4-4-4-480444-8442−4200222-4-2-2-2400000−2222−2222−222242−42−22220000000000000000000000002−22−22−2−2222000000000000000000000000000000000000000000000
χ1178-8-4-4-4-480444-84−424200222-4-2-2-240000022−2222−2222−22−424222−22000000000000000000000000−22−22−2222−22000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.