Finite Group Databasebeta

← Group #13088703

Character table — Group #13088703

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size12444510151524888102030303612121215304545124445101515248881020303036121212153045451244451015152488810203030361212121530454512444510151524888102030303612121215304545
order13515152644331515156612122610303026444122060604124412126060601212121241220606041244261030302644663030306612122610303026444122060604124412126060601212121241220606041244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ311111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i
χ411111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100
χ744-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000
χ84-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000
χ94-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000
χ10111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-111
χ1211111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii
χ1311111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i
χ142-12-1-12-1002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-2100
χ152-12-1-1-21002-12-1-1-2100-21-2112-1002-12-1-1-21002-12-1-1-2100-21-2112-1002-12-1-1-21002-12-1-1-2100-21-2112-1002-12-1-1-21002-12-1-1-2100-21-2112-100
χ1644-1-1-1000044-1-1-10000-4-4111000044-1-1-1000044-1-1-10000-4-4111000044-1-1-1000044-1-1-10000-4-4111000044-1-1-1000044-1-1-10000-4-41110000
χ174-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000
χ184-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000
χ19222222222-1-1-1-1-1-1-1-1-1000000000222222222-1-1-1-1-1-1-1-1-1000000000222222222-1-1-1-1-1-1-1-1-1000000000222222222-1-1-1-1-1-1-1-1-1000000000
χ202222222-2-2-1-1-1-1-1-1-1110000000002222222-2-2-1-1-1-1-1-1-1110000000002222222-2-2-1-1-1-1-1-1-1110000000002222222-2-2-1-1-1-1-1-1-111000000000
χ2122222-2-22i−2i-1-1-1-1-111−ii00000000022222-2-22i−2i-1-1-1-1-111−ii00000000022222-2-22i−2i-1-1-1-1-111−ii00000000022222-2-22i−2i-1-1-1-1-111−ii000000000
χ2222222-2-2−2i2i-1-1-1-1-111i−i00000000022222-2-2−2i2i-1-1-1-1-111i−i00000000022222-2-2−2i2i-1-1-1-1-111i−i00000000022222-2-2−2i2i-1-1-1-1-111i−i000000000
χ234-24-2-24-200-21-211-21000000000004-24-2-24-200-21-211-21000000000004-24-2-24-200-21-211-21000000000004-24-2-24-200-21-211-2100000000000
χ244-24-2-2-4200-21-2112-1000000000004-24-2-2-4200-21-2112-1000000000004-24-2-2-4200-21-2112-1000000000004-24-2-2-4200-21-2112-100000000000
χ2588-2-2-20000-4-4111000000000000088-2-2-20000-4-4111000000000000088-2-2-20000-4-4111000000000000088-2-2-20000-4-41110000000000000
χ268-4-21−i151+i150000-421−1+i152−1−i15200000000000008-4-21−i151+i150000-421−1+i152−1−i15200000000000008-4-21−i151+i150000-421−1+i152−1−i15200000000000008-4-21−i151+i150000-421−1+i152−1−i1520000000000000
χ278-4-21+i151−i150000-421−1−i152−1+i15200000000000008-4-21+i151−i150000-421−1−i152−1+i15200000000000008-4-21+i151−i150000-421−1−i152−1+i15200000000000008-4-21+i151−i150000-421−1−i152−1+i1520000000000000
χ28111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ291111111-1-11111111-1-11111111-1-1iiiiiii−i−iiiiiiii−i−iiiiiiii−i−i-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111−i−i−i−i−i−i−iii−i−i−i−i−i−i−iii−i−i−i−i−i−i−iii
χ3011111-1-1i−i11111-1-1i−i11111-1-1i−iiiiii−i−i-11iiiii−i−i-11iiiii−i−i-11-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii−i−i−i−i−iii1-1−i−i−i−i−iii1-1−i−i−i−i−iii1-1
χ3111111-1-1−ii11111-1-1−ii11111-1-1−iiiiiii−i−i1-1iiiii−i−i1-1iiiii−i−i1-1-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i−i−i−i−i−iii-11−i−i−i−i−iii-11−i−i−i−i−iii-11
χ322-12-1-12-1002-12-1-12-1002-12-1-12-1002i−i2i−i−i2i−i002i−i2i−i−i2i−i002i−i2i−i−i2i−i00-21-211-2100-21-211-2100-21-211-2100−2ii−2iii−2ii00−2ii−2iii−2ii00−2ii−2iii−2ii00
χ332-12-1-1-21002-12-1-1-21002-12-1-1-21002i−i2i−i−i−2ii002i−i2i−i−i−2ii002i−i2i−i−i−2ii00-21-2112-100-21-2112-100-21-2112-100−2ii−2iii2i−i00−2ii−2iii2i−i00−2ii−2iii2i−i00
χ3444-1-1-1000044-1-1-1000044-1-1-100004i4i−i−i−i00004i4i−i−i−i00004i4i−i−i−i0000-4-41110000-4-41110000-4-41110000−4i−4iiii0000−4i−4iiii0000−4i−4iiii0000
χ354-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000
χ364-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000
χ37111111111111111111-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii
χ381111111-1-11111111-1-1-1-1-1-1-1-1-111iiiiiii−i−iiiiiiii−i−i−i−i−i−i−i−i−iii-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1−i−i−i−i−i−i−iii−i−i−i−i−i−i−iiiiiiiiii−i−i
χ3911111-1-1i−i11111-1-1i−i-1-1-1-1-111−iiiiiii−i−i-11iiiii−i−i-11−i−i−i−i−iii1-1-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i−i−i−i−i−iii1-1−i−i−i−i−iii1-1iiiii−i−i-11
χ4011111-1-1−ii11111-1-1−ii-1-1-1-1-111i−iiiiii−i−i1-1iiiii−i−i1-1−i−i−i−i−iii-11-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii−i−i−i−i−iii-11−i−i−i−i−iii-11iiiii−i−i1-1
χ412-12-1-12-1002-12-1-12-100-21-211-21002i−i2i−i−i2i−i002i−i2i−i−i2i−i00−2ii−2iii−2ii00-21-211-2100-21-211-21002-12-1-12-100−2ii−2iii−2ii00−2ii−2iii−2ii002i−i2i−i−i2i−i00
χ422-12-1-1-21002-12-1-1-2100-21-2112-1002i−i2i−i−i−2ii002i−i2i−i−i−2ii00−2ii−2iii2i−i00-21-2112-100-21-2112-1002-12-1-1-2100−2ii−2iii2i−i00−2ii−2iii2i−i002i−i2i−i−i−2ii00
χ4344-1-1-1000044-1-1-10000-4-411100004i4i−i−i−i00004i4i−i−i−i0000−4i−4iiii0000-4-41110000-4-4111000044-1-1-10000−4i−4iiii0000−4i−4iiii00004i4i−i−i−i0000
χ444-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000
χ454-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000
χ46222222222-1-1-1-1-1-1-1-1-10000000002i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i000000000-2-2-2-2-2-2-2-2-2111111111000000000−2i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiii000000000
χ472222222-2-2-1-1-1-1-1-1-1110000000002i2i2i2i2i2i2i−2i−2i−i−i−i−i−i−i−iii000000000-2-2-2-2-2-2-2221111111-1-1000000000−2i−2i−2i−2i−2i−2i−2i2i2iiiiiiii−i−i000000000
χ4822222-2-22i−2i-1-1-1-1-111−ii0000000002i2i2i2i2i−2i−2i-22−i−i−i−i−iii1-1000000000-2-2-2-2-222−2i2i11111-1-1i−i000000000−2i−2i−2i−2i−2i2i2i2-2iiiii−i−i-11000000000
χ4922222-2-2−2i2i-1-1-1-1-111i−i0000000002i2i2i2i2i−2i−2i2-2−i−i−i−i−iii-11000000000-2-2-2-2-2222i−2i11111-1-1−ii000000000−2i−2i−2i−2i−2i2i2i-22iiiii−i−i1-1000000000
χ504-24-2-24-200-21-211-21000000000004i−2i4i−2i−2i4i−2i00−2ii−2iii−2ii00000000000-42-422-42002-12-1-12-100000000000−4i2i−4i2i2i−4i2i002i−i2i−i−i2i−i00000000000
χ514-24-2-2-4200-21-2112-1000000000004i−2i4i−2i−2i−4i2i00−2ii−2iii2i−i00000000000-42-4224-2002-12-1-1-2100000000000−4i2i−4i2i2i4i−2i002i−i2i−i−i−2ii00000000000
χ5288-2-2-20000-4-411100000000000008i8i−2i−2i−2i0000−4i−4iiii0000000000000-8-8222000044-1-1-10000000000000−8i−8i2i2i2i00004i4i−i−i−i0000000000000
χ538-4-21−i151+i150000-421−1+i152−1−i15200000000000008i−4i−2i2ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000000000000-842−1+i15−1−i1500004-2-11−i1521+i1520000000000000−8i4i2i−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000000000000
χ548-4-21+i151−i150000-421−1−i152−1+i15200000000000008i−4i−2i2ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000000000000-842−1−i15−1+i1500004-2-11+i1521−i1520000000000000−8i4i2i−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000000000000
χ55111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ561111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ5711111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii
χ5811111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i
χ592-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100
χ602-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-100
χ6144-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-4111000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-41110000
χ624-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000
χ634-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000
χ64111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ651111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1
χ6611111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i
χ6711111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii
χ682-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-21002-12-1-12-100
χ692-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-2100
χ7044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-4111000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-4111000044-1-1-10000
χ714-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000
χ724-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000
χ73222222222-1-1-1-1-1-1-1-1-1000000000-2-2-2-2-2-2-2-2-2111111111000000000222222222-1-1-1-1-1-1-1-1-1000000000-2-2-2-2-2-2-2-2-2111111111000000000
χ742222222-2-2-1-1-1-1-1-1-111000000000-2-2-2-2-2-2-2221111111-1-10000000002222222-2-2-1-1-1-1-1-1-111000000000-2-2-2-2-2-2-2221111111-1-1000000000
χ7522222-2-22i−2i-1-1-1-1-111−ii000000000-2-2-2-2-222−2i2i11111-1-1i−i00000000022222-2-22i−2i-1-1-1-1-111−ii000000000-2-2-2-2-222−2i2i11111-1-1i−i000000000
χ7622222-2-2−2i2i-1-1-1-1-111i−i000000000-2-2-2-2-2222i−2i11111-1-1−ii00000000022222-2-2−2i2i-1-1-1-1-111i−i000000000-2-2-2-2-2222i−2i11111-1-1−ii000000000
χ774-24-2-24-200-21-211-2100000000000-42-422-42002-12-1-12-1000000000004-24-2-24-200-21-211-2100000000000-42-422-42002-12-1-12-100000000000
χ784-24-2-2-4200-21-2112-100000000000-42-4224-2002-12-1-1-21000000000004-24-2-2-4200-21-2112-100000000000-42-4224-2002-12-1-1-2100000000000
χ7988-2-2-20000-4-41110000000000000-8-8222000044-1-1-1000000000000088-2-2-20000-4-41110000000000000-8-8222000044-1-1-10000000000000
χ808-4-21−i151+i150000-421−1+i152−1−i1520000000000000-842−1+i15−1−i1500004-2-11−i1521+i15200000000000008-4-21−i151+i150000-421−1+i152−1−i1520000000000000-842−1+i15−1−i1500004-2-11−i1521+i1520000000000000
χ818-4-21+i151−i150000-421−1−i152−1+i1520000000000000-842−1−i15−1+i1500004-2-11+i1521−i15200000000000008-4-21+i151−i150000-421−1−i152−1+i1520000000000000-842−1−i15−1+i1500004-2-11+i1521−i1520000000000000
χ82111111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiii
χ831111111-1-11111111-1-11111111-1-1−i−i−i−i−i−i−iii−i−i−i−i−i−i−iii−i−i−i−i−i−i−iii-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111iiiiiii−i−iiiiiiii−i−iiiiiiii−i−i
χ8411111-1-1i−i11111-1-1i−i11111-1-1i−i−i−i−i−i−iii1-1−i−i−i−i−iii1-1−i−i−i−i−iii1-1-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−iiiiiii−i−i-11iiiii−i−i-11iiiii−i−i-11
χ8511111-1-1−ii11111-1-1−ii11111-1-1−ii−i−i−i−i−iii-11−i−i−i−i−iii-11−i−i−i−i−iii-11-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−iiiiii−i−i1-1iiiii−i−i1-1iiiii−i−i1-1
χ862-12-1-12-1002-12-1-12-1002-12-1-12-100−2ii−2iii−2ii00−2ii−2iii−2ii00−2ii−2iii−2ii00-21-211-2100-21-211-2100-21-211-21002i−i2i−i−i2i−i002i−i2i−i−i2i−i002i−i2i−i−i2i−i00
χ872-12-1-1-21002-12-1-1-21002-12-1-1-2100−2ii−2iii2i−i00−2ii−2iii2i−i00−2ii−2iii2i−i00-21-2112-100-21-2112-100-21-2112-1002i−i2i−i−i−2ii002i−i2i−i−i−2ii002i−i2i−i−i−2ii00
χ8844-1-1-1000044-1-1-1000044-1-1-10000−4i−4iiii0000−4i−4iiii0000−4i−4iiii0000-4-41110000-4-41110000-4-411100004i4i−i−i−i00004i4i−i−i−i00004i4i−i−i−i0000
χ894-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000
χ904-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000
χ91111111111111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111iiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i
χ921111111-1-11111111-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−iii−i−i−i−i−i−i−iiiiiiiiii−i−i-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1iiiiiii−i−iiiiiiii−i−i−i−i−i−i−i−i−iii
χ9311111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii−i−i−i−i−iii1-1−i−i−i−i−iii1-1iiiii−i−i-11-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−iiiiii−i−i-11iiiii−i−i-11−i−i−i−i−iii1-1
χ9411111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i−i−i−i−i−iii-11−i−i−i−i−iii-11iiiii−i−i1-1-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−iiiiiii−i−i1-1iiiii−i−i1-1−i−i−i−i−iii-11
χ952-12-1-12-1002-12-1-12-100-21-211-2100−2ii−2iii−2ii00−2ii−2iii−2ii002i−i2i−i−i2i−i00-21-211-2100-21-211-21002-12-1-12-1002i−i2i−i−i2i−i002i−i2i−i−i2i−i00−2ii−2iii−2ii00
χ962-12-1-1-21002-12-1-1-2100-21-2112-100−2ii−2iii2i−i00−2ii−2iii2i−i002i−i2i−i−i−2ii00-21-2112-100-21-2112-1002-12-1-1-21002i−i2i−i−i−2ii002i−i2i−i−i−2ii00−2ii−2iii2i−i00
χ9744-1-1-1000044-1-1-10000-4-41110000−4i−4iiii0000−4i−4iiii00004i4i−i−i−i0000-4-41110000-4-4111000044-1-1-100004i4i−i−i−i00004i4i−i−i−i0000−4i−4iiii0000
χ984-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000
χ994-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000
χ100222222222-1-1-1-1-1-1-1-1-1000000000−2i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiii000000000-2-2-2-2-2-2-2-2-21111111110000000002i2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i000000000
χ1012222222-2-2-1-1-1-1-1-1-111000000000−2i−2i−2i−2i−2i−2i−2i2i2iiiiiiii−i−i000000000-2-2-2-2-2-2-2221111111-1-10000000002i2i2i2i2i2i2i−2i−2i−i−i−i−i−i−i−iii000000000
χ10222222-2-22i−2i-1-1-1-1-111−ii000000000−2i−2i−2i−2i−2i2i2i2-2iiiii−i−i-11000000000-2-2-2-2-222−2i2i11111-1-1i−i0000000002i2i2i2i2i−2i−2i-22−i−i−i−i−iii1-1000000000
χ10322222-2-2−2i2i-1-1-1-1-111i−i000000000−2i−2i−2i−2i−2i2i2i-22iiiii−i−i1-1000000000-2-2-2-2-2222i−2i11111-1-1−ii0000000002i2i2i2i2i−2i−2i2-2−i−i−i−i−iii-11000000000
χ1044-24-2-24-200-21-211-2100000000000−4i2i−4i2i2i−4i2i002i−i2i−i−i2i−i00000000000-42-422-42002-12-1-12-1000000000004i−2i4i−2i−2i4i−2i00−2ii−2iii−2ii00000000000
χ1054-24-2-2-4200-21-2112-100000000000−4i2i−4i2i2i4i−2i002i−i2i−i−i−2ii00000000000-42-4224-2002-12-1-1-21000000000004i−2i4i−2i−2i−4i2i00−2ii−2iii2i−i00000000000
χ10688-2-2-20000-4-41110000000000000−8i−8i2i2i2i00004i4i−i−i−i0000000000000-8-8222000044-1-1-100000000000008i8i−2i−2i−2i0000−4i−4iiii0000000000000
χ1078-4-21−i151+i150000-421−1+i152−1−i1520000000000000−8i4i2i−2ζ7−2ζ11−2ζ43−2ζ59−2ζ19−2ζ23−2ζ31−2ζ4700004i−2i−iζ7+ζ11+ζ43+ζ59ζ19+ζ23+ζ31+ζ470000000000000-842−1+i15−1−i1500004-2-11−i1521+i15200000000000008i−4i−2i2ζ7+2ζ11+2ζ43+2ζ592ζ19+2ζ23+2ζ31+2ζ470000−4i2ii−ζ7−ζ11−ζ43−ζ59−ζ19−ζ23−ζ31−ζ470000000000000
χ1088-4-21+i151−i150000-421−1−i152−1+i1520000000000000−8i4i2i−2ζ19−2ζ23−2ζ31−2ζ47−2ζ7−2ζ11−2ζ43−2ζ5900004i−2i−iζ19+ζ23+ζ31+ζ47ζ7+ζ11+ζ43+ζ590000000000000-842−1−i15−1+i1500004-2-11+i1521−i15200000000000008i−4i−2i2ζ19+2ζ23+2ζ31+2ζ472ζ7+2ζ11+2ζ43+2ζ590000−4i2ii−ζ19−ζ23−ζ31−ζ47−ζ7−ζ11−ζ43−ζ590000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.