Finite Group Databasebeta

← Group #10624614

Character table — Group #10624614

Order 729.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size1111111113333333333339999999999999999999999999999999999999999272727272727272727272727
order1333333333333333333333333999999999999999999999999999999999999999999999999
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111−1+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−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ31111111111111111111111111111111111111111111−1−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+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41111111111111111111111111−1+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−i32111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ51111111111111111111111111−1+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−i32−1+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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111
χ61111111111111111111111111−1+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−i32−1−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+i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ71111111111111111111111111−1−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+i32111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ81111111111111111111111111−1−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+i32−1+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−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ91111111111111111111111111−1−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+i32−1−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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111
χ10111111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ11111111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32
χ12111111111−1+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−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321
χ13111111111−1+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+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321
χ14111111111−1+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+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i321−1+i32−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i32
χ15111111111−1+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+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ16111111111−1+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−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32
χ17111111111−1+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−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ18111111111−1+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−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1−i321−1+i321−1+i32−1−i321−1+i32−1−i32
χ19111111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ20111111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321
χ21111111111−1−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+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32
χ22111111111−1−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+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32
χ23111111111−1−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+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1+i321−1−i321−1−i32−1+i321−1−i32−1+i32
χ24111111111−1−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+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ25111111111−1−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−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321
χ26111111111−1−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−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ27111111111−1−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−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i321−1−i32−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i32
χ28333333333333−3+3i32−3+3i32−3+3i32333−3−3i32−3−3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32000000000000000000000000000000000000000000000000
χ29333333333333−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32000000000000000000000000000000000000000000000000
χ30333333333−3+3i32−3+3i32−3+3i32333−3−3i32−3−3i32−3−3i32333−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000000000000
χ31333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i3233000000000000000000000000000000000000000000000000
χ32333333333−3−3i32−3−3i32−3−3i32333−3+3i32−3+3i32−3+3i32333−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000000000
χ33333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i3233000000000000000000000000000000000000000000000000
χ34333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320003−3+3i32−3−3i320003−3+3i32−3−3i320000000000000000000000ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000
χ35333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320003−3+3i32−3−3i320003−3+3i32−3−3i320000000000000000000000ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000
χ36333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320003−3+3i32−3−3i320003−3+3i32−3−3i320000000000000000000000−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000
χ37333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i323000−3−3i323−3+3i320000000000000000000000ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000
χ38333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i323000−3−3i323−3+3i320000000000000000000000ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000
χ39333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000−3+3i32−3−3i323000−3−3i323−3+3i320000000000000000000000−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000
χ40333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000−3−3i323−3+3i32000−3+3i32−3−3i3230000000000000000000000ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000
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χ42333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32000−3−3i323−3+3i32000−3+3i32−3−3i3230000000000000000000000−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000
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χ44333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320003−3−3i32−3+3i320003−3−3i32−3+3i320000000000000000000000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000
χ45333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320003−3−3i32−3+3i320003−3−3i32−3+3i320000000000000000000000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000
χ46333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000−3+3i323−3−3i32000−3−3i32−3+3i32300000000000000000000002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000
χ47333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000−3+3i323−3−3i32000−3−3i32−3+3i3230000000000000000000000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000
χ48333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000−3+3i323−3−3i32000−3−3i32−3+3i3230000000000000000000000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000
χ49333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i323000−3+3i323−3−3i3200000000000000000000002ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4000000000000
χ50333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i323000−3+3i323−3−3i320000000000000000000000−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4000000000000
χ51333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000−3−3i32−3+3i323000−3+3i323−3−3i320000000000000000000000−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4000000000000
χ523−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i32−3+3i323−3+3i32−3−3i320003−3+3i32−3−3i320000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000000000000000000000000
χ533−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i32−3+3i323−3+3i32−3−3i320003−3+3i32−3−3i320000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000000000000000000000000
χ543−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i32−3+3i323−3+3i32−3−3i320003−3+3i32−3−3i320000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000000000000000000000000
χ553−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i32−3+3i32−3+3i32−3−3i323000−3−3i323−3+3i320000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000000000000000000000000
χ563−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i32−3+3i32−3+3i32−3−3i323000−3−3i323−3+3i320000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000000000000000000000000
χ573−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i32−3+3i32−3+3i32−3−3i323000−3−3i323−3+3i320000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000000000000000000000000
χ583−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i32−3+3i32−3−3i323−3+3i32000−3+3i32−3−3i3230000000ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ52ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4000000000000000000000000000000
χ593−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i32−3+3i32−3−3i323−3+3i32000−3+3i32−3−3i3230000000ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−ζ+ζ4−ζ−2ζ42ζ+ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4000000000000000000000000000000
χ603−3+3i32−3−3i32−3+3i32−3−3i3233−3−3i32−3+3i32−3−3i323−3+3i32000−3+3i32−3−3i3230000000−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4000000000000000000000000000000
χ613−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i32−3−3i323−3−3i32−3+3i320003−3−3i32−3+3i3200000002ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000000000000000000000000000
χ623−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i32−3−3i323−3−3i32−3+3i320003−3−3i32−3+3i320000000−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000000000000000000000000
χ633−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i32−3−3i323−3−3i32−3+3i320003−3−3i32−3+3i320000000−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000000000000000000000000000
χ643−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i32−3−3i32−3+3i323−3−3i32000−3−3i32−3+3i32300000002ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000000000000000000000000
χ653−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i32−3−3i32−3+3i323−3−3i32000−3−3i32−3+3i3230000000−ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000000000000000000000000000
χ663−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i32−3−3i32−3+3i323−3−3i32000−3−3i32−3+3i3230000000−ζ−2ζ42ζ+ζ4−ζ+ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000000000000000000000000000
χ673−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i32−3−3i32−3−3i32−3+3i323000−3+3i323−3−3i3200000002ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ4ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5000000000000000000000000000000
χ683−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i32−3−3i32−3−3i32−3+3i323000−3+3i323−3−3i320000000−ζ+ζ4−ζ−2ζ42ζ+ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4−ζ−2ζ42ζ+ζ4−ζ+ζ4−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5000000000000000000000000000000
χ693−3−3i32−3+3i32−3−3i32−3+3i3233−3+3i32−3−3i32−3−3i32−3+3i323000−3+3i323−3−3i320000000−ζ−2ζ42ζ+ζ4−ζ+ζ4−ζ+ζ4−ζ−2ζ42ζ+ζ42ζ+ζ4−ζ+ζ4−ζ−2ζ4ζ2+2ζ5ζ2−ζ5−2ζ2−ζ5ζ2−ζ5−2ζ2−ζ5ζ2+2ζ5−2ζ2−ζ5ζ2+2ζ5ζ2−ζ5000000000000000000000000000000
χ709−9+9i32−9−9i3299−9−9i32−9+9i32−9+9i32−9−9i320000000000000000000000000000000000000000000000000000000000000000
χ719−9+9i32−9−9i32−9−9i32−9+9i32−9+9i32−9−9i32990000000000000000000000000000000000000000000000000000000000000000
χ729−9−9i32−9+9i3299−9+9i32−9−9i32−9−9i32−9+9i320000000000000000000000000000000000000000000000000000000000000000
χ739−9−9i32−9+9i32−9+9i32−9−9i32−9−9i32−9+9i32990000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.