Finite Group Databasebeta

← Group #14315668

Character table — Group #14315668

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222244444555555666688888888101010101010101010101010101010161616202020202020202020242424242430303030303030303030303032323240404040404040404096120120120
order1234688510122424448888161616162661520304040244448888121224242424601201206121212122424242428080808016161616161616161616161610303048812122424242410488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-111111111111111111111111111111111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ611111111111111-1-1-1-11111-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ711111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1
χ9111111111111-1-1ii−i−i111111111111-1ii−i−ii−i-1-1-1-1ii−i−i111-1ii−i−i-1-1i−i11111-1-1-1-1iiii−i−i−i−i111-1i−i-1-1ii−i−i1-1i−i
χ10111111111111-1-1ii−i−i1111-1-1-111111-1ii−i−ii−i-1-1-1-1ii−i−i111-1ii−i−i-1-1i−i-11111-1-1-1-1iiii−i−i−i−i-1-1-11−ii11−i−iii-11−ii
χ11111111111111-1-1ii−i−i-1-1-1-111111111-1ii−i−ii−i-1-1-1-1ii−i−i111-1ii−i−i-1-1i−i-1-1-1-1-11111−i−i−i−iiiii111-1i−i-1-1ii−i−i-11−ii
χ12111111111111-1-1ii−i−i-1-1-1-1-1-1-111111-1ii−i−ii−i-1-1-1-1ii−i−i111-1ii−i−i-1-1i−i1-1-1-1-11111−i−i−i−iiiii-1-1-11−ii11−i−iii1-1i−i
χ13111111111111-1-1−i−iii111111111111-1−i−iii−ii-1-1-1-1−i−iii111-1−i−iii-1-1−ii11111-1-1-1-1−i−i−i−iiiii111-1−ii-1-1−i−iii1-1−ii
χ14111111111111-1-1−i−iii1111-1-1-111111-1−i−iii−ii-1-1-1-1−i−iii111-1−i−iii-1-1−ii-11111-1-1-1-1−i−i−i−iiiii-1-1-11i−i11ii−i−i-11i−i
χ15111111111111-1-1−i−iii-1-1-1-111111111-1−i−iii−ii-1-1-1-1−i−iii111-1−i−iii-1-1−ii-1-1-1-1-11111iiii−i−i−i−i111-1−ii-1-1−i−iii-11i−i
χ16111111111111-1-1−i−iii-1-1-1-1-1-1-111111-1−i−iii−ii-1-1-1-1−i−iii111-1−i−iii-1-1−ii1-1-1-1-11111iiii−i−i−i−i-1-1-11i−i11ii−i−i1-1−ii
χ1722222-2-2222-2-22222220000000222-2-22-2-2-2-222-2-22222222-2-22-2-2-2-2-2-222000000000000000000000000000000000
χ1822222-2-2222-2-222-2-2-2-20000000222-2-222222-2-2-2-222-2-2-2-22-2-222222-2-2-2-2000000000000000000000000000000000
χ1922222-2-2222-2-2-2-22i2i−2i−2i0000000222-2-2-2−2i−2i2i2i2i−2i22-2-22i2i−2i−2i2-2-2-2−2i−2i2i2i222i−2i000000000000000000000000000000000
χ2022222-2-2222-2-2-2-2−2i−2i2i2i0000000222-2-2-22i2i−2i−2i−2i2i22-2-2−2i−2i2i2i2-2-2-22i2i−2i−2i22−2i2i000000000000000000000000000000000
χ21222-220022-20022222222−2−20002-2200-20000-2-200222222-200-2000000-2-2022−2−222−2−222−2−222−2−20000000000000000
χ22222-220022-200222222−2−2220002-2200-20000-2-200222222-200-2000000-2-20−2−222−2−222−2−222−2−2220000000000000000
χ23222-220022-20022-2-2-2-222−2−20002-2200-20000220022-2-2-2-2-200-200000022022−2−222−2−2−2−222−2−2220000000000000000
χ24222-220022-20022-2-2-2-2−2−2220002-2200-20000220022-2-2-2-2-200-2000000220−2−222−2−22222−2−222−2−20000000000000000
χ25222-220022-200-2-22i2i−2i−2i22−2−20002-220020000−2i2i00-2-22i2i−2i−2i-2002000000−2i2i022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ26222-220022-200-2-22i2i−2i−2i−2−2220002-220020000−2i2i00-2-22i2i−2i−2i-2002000000−2i2i0−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ27222-220022-200-2-2−2i−2i2i2i22−2−20002-2200200002i−2i00-2-2−2i−2i2i2i-20020000002i−2i022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ28222-220022-200-2-2−2i−2i2i2i−2−2220002-2200200002i−2i00-2-2−2i−2i2i2i-20020000002i−2i0−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ2922-12-12222-1-1-122222200002-1-1-12-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000002-1-1222-1-1-1-1-1-10000
χ3022-12-12222-1-1-12222220000-211-12-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000-211-2-2-21111110000
χ3122-12-12222-1-1-122-2-2-2-200002-1-1-12-1222-2-2-2-2-2-222-1-11111-1-1-1-11111-1-111000000000000000002-1-12-2-2-1-111110000
χ3222-12-12222-1-1-122-2-2-2-20000-211-12-1222-2-2-2-2-2-222-1-11111-1-1-1-11111-1-11100000000000000000-211-22211-1-1-1-10000
χ3322-12-12222-1-1-1-2-22i2i−2i−2i00002-1-1-12-122-22i2i−2i−2i2i−2i-2-211−i−iii-1-1-11−i−iii11−ii000000000000000002-1-1-22i−2i11−i−iii0000
χ3422-12-12222-1-1-1-2-22i2i−2i−2i0000-211-12-122-22i2i−2i−2i2i−2i-2-211−i−iii-1-1-11−i−iii11−ii00000000000000000-2112−2i2i-1-1ii−i−i0000
χ3522-12-12222-1-1-1-2-2−2i−2i2i2i00002-1-1-12-122-2−2i−2i2i2i−2i2i-2-211ii−i−i-1-1-11ii−i−i11i−i000000000000000002-1-1-2−2i2i11ii−i−i0000
χ3622-12-12222-1-1-1-2-2−2i−2i2i2i0000-211-12-122-2−2i−2i2i2i−2i2i-2-211ii−i−i-1-1-11ii−i−i11i−i00000000000000000-21122i−2i-1-1−i−iii0000
χ3722-12-1-2-222-11122222200000−i3i3-12-1-2-22-2-2-2-222-2-2-1-1-1-1-1-1-111-1111111-1-1000000000000000000−i3i3000−i3i3−i3i3−i3i30000
χ3822-12-1-2-222-11122222200000i3−i3-12-1-2-22-2-2-2-222-2-2-1-1-1-1-1-1-111-1111111-1-1000000000000000000i3−i3000i3−i3i3−i3i3−i30000
χ3922-12-1-2-222-11122-2-2-2-200000−i3i3-12-1-2-222222-2-2-2-2-1-11111-111-1-1-1-1-11111000000000000000000−i3i3000−i3i3i3−i3i3−i30000
χ4022-12-1-2-222-11122-2-2-2-200000i3−i3-12-1-2-222222-2-2-2-2-1-11111-111-1-1-1-1-11111000000000000000000i3−i3000i3−i3−i3i3−i3i30000
χ4122-12-1-2-222-111-2-22i2i−2i−2i00000−i3i3-12-1-2-2-2−2i−2i2i2i2i−2i2211−i−iii-1111ii−i−i-1-1−ii000000000000000000−i3i3000i3−i33−3−330000
χ4222-12-1-2-222-111-2-22i2i−2i−2i00000i3−i3-12-1-2-2-2−2i−2i2i2i2i−2i2211−i−iii-1111ii−i−i-1-1−ii000000000000000000i3−i3000−i3i3−333−30000
χ4322-12-1-2-222-111-2-2−2i−2i2i2i00000−i3i3-12-1-2-2-22i2i−2i−2i−2i2i2211ii−i−i-1111−i−iii-1-1i−i000000000000000000−i3i3000i3−i3−333−30000
χ4422-12-1-2-222-111-2-2−2i−2i2i2i00000i3−i3-12-1-2-2-22i2i−2i−2i−2i2i2211ii−i−i-1111−i−iii-1-1i−i000000000000000000i3−i3000−i3i33−3−330000
χ452-220-22−22-202−22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300020-22−201+i−1−i1−i−1+i00−i2i22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2602−201+i−1−i1−i−1+i−i2i2000−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+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ470000000000000000
χ462-220-22−22-202−22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300020-22−201+i−1−i1−i−1+i00−i2i22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2602−201+i−1−i1−i−1+i−i2i2000ζ25−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−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ470000000000000000
χ472-220-22−22-202−22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300020-22−20−1−i1+i−1+i1−i00−i2i22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2602−20−1−i1+i−1+i1−i−i2i2000−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+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ470000000000000000
χ482-220-22−22-202−22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300020-22−20−1−i1+i−1+i1−i00−i2i22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2602−20−1−i1+i−1+i1−i−i2i2000ζ25−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−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ470000000000000000
χ492-220-22−22-202−2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300020-22−201−i−1+i1+i−1−i00i2−i2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4602−201−i−1+i1+i−1−ii2−i2000−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−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ430000000000000000
χ502-220-22−22-202−2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300020-22−201−i−1+i1+i−1−i00i2−i2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4602−201−i−1+i1+i−1−ii2−i2000ζ25−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+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ430000000000000000
χ512-220-22−22-202−2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300020-22−20−1+i1−i−1−i1+i00i2−i2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4602−20−1+i1−i−1−i1+ii2−i2000−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−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ430000000000000000
χ522-220-22−22-202−2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300020-22−20−1+i1−i−1−i1+i00i2−i2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4602−20−1+i1−i−1−i1+ii2−i2000ζ25−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+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ430000000000000000
χ532-220-2−222-20−222i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700020-2−220−1−i1+i−1+i1−i00i2−i22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260−220−1−i1+i−1+i1−ii2−i2000ζ11−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+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ430000000000000000
χ542-220-2−222-20−222i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700020-2−220−1−i1+i−1+i1−i00i2−i22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260−220−1−i1+i−1+i1−ii2−i2000−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−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ430000000000000000
χ552-220-2−222-20−222i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700020-2−2201+i−1−i1−i−1+i00i2−i22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ260−2201+i−1−i1−i−1+ii2−i2000ζ11−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+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ430000000000000000
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Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.