Finite Group Databasebeta

← Group #13133516

Character table — Group #13133516

Order 1701.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111333333339999999999999999992727272727272727272727272727636363636363189189189189
order1333377212121219921212121636363636363636363636363332121212121212121212121219999999999
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111−1+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
χ411111111111111111111111111111−1+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
χ511111111111111111111111111111−1+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−i3211−1+i32
χ611111111111111111111111111111−1+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+i321−1+i32−1−i321
χ711111111111111111111111111111−1−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
χ811111111111111111111111111111−1−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−i321−1−i32−1+i321
χ911111111111111111111111111111−1−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+i3211−1−i32
χ1033333333333−3+3i32−3−3i323333−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32000000000000000000000000
χ1133333333333−3−3i32−3+3i323333−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32000000000000000000000000
χ1233333−1−i72−1+i72−1−i72−1−i72−1+i72−1+i7233−1−i72−1−i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i7233−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i720000000000
χ1333333−1−i72−1+i72−1−i72−1−i72−1+i72−1+i7233−1−i72−1−i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−3+3i32−3−3i32ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ600000000000
χ1433333−1−i72−1+i72−1−i72−1−i72−1+i72−1+i7233−1−i72−1−i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−3−3i32−3+3i32ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ570000000000
χ1533333−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−3+3i32−3−3i32−1−i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ6000ζ3−ζ6+ζ33−ζ48−ζ3+ζ6+ζ12−ζ24−ζ12+ζ24−ζ33+ζ48ζ15+ζ30−ζ39−ζ60−ζ30−ζ51+ζ57+ζ60−ζ15+ζ39+ζ51−ζ57−ζ6+ζ12+ζ24−ζ48ζ3+ζ6−ζ12−ζ33−ζ3−ζ24+ζ33+ζ48ζ15−ζ30+ζ39−ζ51−ζ15+ζ30−ζ57+ζ60−ζ39+ζ51+ζ57−ζ600000000000
χ1633333−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−3+3i32−3−3i32−1−i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ6000−ζ3+ζ6+ζ12−ζ24−ζ12+ζ24−ζ33+ζ48ζ3−ζ6+ζ33−ζ48−ζ30−ζ51+ζ57+ζ60−ζ15+ζ39+ζ51−ζ57ζ15+ζ30−ζ39−ζ60−ζ3−ζ24+ζ33+ζ48−ζ6+ζ12+ζ24−ζ48ζ3+ζ6−ζ12−ζ33−ζ15+ζ30−ζ57+ζ60−ζ39+ζ51+ζ57−ζ60ζ15−ζ30+ζ39−ζ510000000000
χ1733333−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−3+3i32−3−3i32−1−i72−1−i72−1+i72−1+i72ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ6000−ζ12+ζ24−ζ33+ζ48ζ3−ζ6+ζ33−ζ48−ζ3+ζ6+ζ12−ζ24−ζ15+ζ39+ζ51−ζ57ζ15+ζ30−ζ39−ζ60−ζ30−ζ51+ζ57+ζ60ζ3+ζ6−ζ12−ζ33−ζ3−ζ24+ζ33+ζ48−ζ6+ζ12+ζ24−ζ48−ζ39+ζ51+ζ57−ζ60ζ15−ζ30+ζ39−ζ51−ζ15+ζ30−ζ57+ζ600000000000
χ1833333−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−3−3i32−3+3i32−1−i72−1−i72−1+i72−1+i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ5700−ζ6+ζ12+ζ24−ζ48−ζ3−ζ24+ζ33+ζ48ζ3+ζ6−ζ12−ζ33−ζ39+ζ51+ζ57−ζ60ζ15−ζ30+ζ39−ζ51−ζ15+ζ30−ζ57+ζ60ζ3−ζ6+ζ33−ζ48−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24−ζ30−ζ51+ζ57+ζ60−ζ15+ζ39+ζ51−ζ57ζ15+ζ30−ζ39−ζ600000000000
χ1933333−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−3−3i32−3+3i32−1−i72−1−i72−1+i72−1+i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ5700ζ3+ζ6−ζ12−ζ33−ζ6+ζ12+ζ24−ζ48−ζ3−ζ24+ζ33+ζ48−ζ15+ζ30−ζ57+ζ60−ζ39+ζ51+ζ57−ζ60ζ15−ζ30+ζ39−ζ51−ζ12+ζ24−ζ33+ζ48−ζ3+ζ6+ζ12−ζ24ζ3−ζ6+ζ33−ζ48ζ15+ζ30−ζ39−ζ60−ζ30−ζ51+ζ57+ζ60−ζ15+ζ39+ζ51−ζ570000000000
χ2033333−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−3−3i32−3+3i32−1−i72−1−i72−1+i72−1+i72ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ5700−ζ3−ζ24+ζ33+ζ48ζ3+ζ6−ζ12−ζ33−ζ6+ζ12+ζ24−ζ48ζ15−ζ30+ζ39−ζ51−ζ15+ζ30−ζ57+ζ60−ζ39+ζ51+ζ57−ζ60−ζ3+ζ6+ζ12−ζ24ζ3−ζ6+ζ33−ζ48−ζ12+ζ24−ζ33+ζ48−ζ15+ζ39+ζ51−ζ57ζ15+ζ30−ζ39−ζ60−ζ30−ζ51+ζ57+ζ600000000000
χ2133333−1+i72−1−i72−1+i72−1+i72−1−i72−1−i7233−1+i72−1+i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i7233−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i720000000000
χ2233333−1+i72−1−i72−1+i72−1+i72−1−i72−1−i7233−1+i72−1+i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−3+3i32−3−3i32ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ330000000000
χ2333333−1+i72−1−i72−1+i72−1+i72−1−i72−1−i7233−1+i72−1+i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−3−3i32−3+3i32ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ480000000000
χ2433333−1+i72−1−i72−1+i72−1+i72−1−i72−1−i72−3+3i32−3−3i32−1+i72−1+i72−1−i72−1−i72ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ3300ζ15+ζ30−ζ39−ζ60−ζ30−ζ51+ζ57+ζ60−ζ15+ζ39+ζ51−ζ57−ζ12+ζ24−ζ33+ζ48ζ3−ζ6+ζ33−ζ48−ζ3+ζ6+ζ12−ζ24−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30−ζ57+ζ60ζ15−ζ30+ζ39−ζ51−ζ6+ζ12+ζ24−ζ48−ζ3−ζ24+ζ33+ζ48ζ3+ζ6−ζ12−ζ330000000000
χ2533333−1+i72−1−i72−1+i72−1+i72−1−i72−1−i72−3+3i32−3−3i32−1+i72−1+i72−1−i72−1−i72ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ3300−ζ30−ζ51+ζ57+ζ60−ζ15+ζ39+ζ51−ζ57ζ15+ζ30−ζ39−ζ60ζ3−ζ6+ζ33−ζ48−ζ3+ζ6+ζ12−ζ24−ζ12+ζ24−ζ33+ζ48ζ15−ζ30+ζ39−ζ51−ζ39+ζ51+ζ57−ζ60−ζ15+ζ30−ζ57+ζ60−ζ3−ζ24+ζ33+ζ48ζ3+ζ6−ζ12−ζ33−ζ6+ζ12+ζ24−ζ480000000000
χ2633333−1+i72−1−i72−1+i72−1+i72−1−i72−1−i72−3+3i32−3−3i32−1+i72−1+i72−1−i72−1−i72ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ3300−ζ15+ζ39+ζ51−ζ57ζ15+ζ30−ζ39−ζ60−ζ30−ζ51+ζ57+ζ60−ζ3+ζ6+ζ12−ζ24−ζ12+ζ24−ζ33+ζ48ζ3−ζ6+ζ33−ζ48−ζ15+ζ30−ζ57+ζ60ζ15−ζ30+ζ39−ζ51−ζ39+ζ51+ζ57−ζ60ζ3+ζ6−ζ12−ζ33−ζ6+ζ12+ζ24−ζ48−ζ3−ζ24+ζ33+ζ480000000000
χ2733333−1+i72−1−i72−1+i72−1+i72−1−i72−1−i72−3−3i32−3+3i32−1+i72−1+i72−1−i72−1−i72ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ4800ζ15−ζ30+ζ39−ζ51−ζ15+ζ30−ζ57+ζ60−ζ39+ζ51+ζ57−ζ60−ζ6+ζ12+ζ24−ζ48−ζ3−ζ24+ζ33+ζ48ζ3+ζ6−ζ12−ζ33−ζ30−ζ51+ζ57+ζ60ζ15+ζ30−ζ39−ζ60−ζ15+ζ39+ζ51−ζ57−ζ3+ζ6+ζ12−ζ24−ζ12+ζ24−ζ33+ζ48ζ3−ζ6+ζ33−ζ480000000000
χ2833333−1+i72−1−i72−1+i72−1+i72−1−i72−1−i72−3−3i32−3+3i32−1+i72−1+i72−1−i72−1−i72ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ4800−ζ15+ζ30−ζ57+ζ60−ζ39+ζ51+ζ57−ζ60ζ15−ζ30+ζ39−ζ51−ζ3−ζ24+ζ33+ζ48ζ3+ζ6−ζ12−ζ33−ζ6+ζ12+ζ24−ζ48−ζ15+ζ39+ζ51−ζ57−ζ30−ζ51+ζ57+ζ60ζ15+ζ30−ζ39−ζ60−ζ12+ζ24−ζ33+ζ48ζ3−ζ6+ζ33−ζ48−ζ3+ζ6+ζ12−ζ240000000000
χ2933333−1+i72−1−i72−1+i72−1+i72−1−i72−1−i72−3−3i32−3+3i32−1+i72−1+i72−1−i72−1−i72ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ15+ζ51+ζ60ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ6+ζ24+ζ33ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ30+ζ39+ζ57ζ3+ζ12+ζ48ζ3+ζ12+ζ48ζ3+ζ12+ζ4800−ζ39+ζ51+ζ57−ζ60ζ15−ζ30+ζ39−ζ51−ζ15+ζ30−ζ57+ζ60ζ3+ζ6−ζ12−ζ33−ζ6+ζ12+ζ24−ζ48−ζ3−ζ24+ζ33+ζ48ζ15+ζ30−ζ39−ζ60−ζ15+ζ39+ζ51−ζ57−ζ30−ζ51+ζ57+ζ60ζ3−ζ6+ζ33−ζ48−ζ3+ζ6+ζ12−ζ24−ζ12+ζ24−ζ33+ζ480000000000
χ30333−3+3i32−3−3i3233333300−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000002ζ4+2ζ13+ζ16+2ζ22+ζ25+2ζ31+ζ34+2ζ40+ζ43+ζ52+2ζ58+ζ61−ζ4−ζ13−2ζ16−ζ22−2ζ25−ζ31−2ζ34−ζ40−2ζ43−2ζ52−ζ58−2ζ61−ζ4−ζ13+ζ16−ζ22+ζ25−ζ31+ζ34−ζ40+ζ43+ζ52−ζ58+ζ61−2ζ5−ζ8−ζ17−2ζ23−ζ26−2ζ32−2ζ41−ζ44−2ζ50−ζ53−2ζ59−ζ62ζ5−ζ8−ζ17+ζ23−ζ26+ζ32+ζ41−ζ44+ζ50−ζ53+ζ59−ζ62ζ5+2ζ8+2ζ17+ζ23+2ζ26+ζ32+ζ41+2ζ44+ζ50+2ζ53+ζ59+2ζ620000
χ31333−3+3i32−3−3i3233333300−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000−ζ4−ζ13−2ζ16−ζ22−2ζ25−ζ31−2ζ34−ζ40−2ζ43−2ζ52−ζ58−2ζ61−ζ4−ζ13+ζ16−ζ22+ζ25−ζ31+ζ34−ζ40+ζ43+ζ52−ζ58+ζ612ζ4+2ζ13+ζ16+2ζ22+ζ25+2ζ31+ζ34+2ζ40+ζ43+ζ52+2ζ58+ζ61ζ5−ζ8−ζ17+ζ23−ζ26+ζ32+ζ41−ζ44+ζ50−ζ53+ζ59−ζ62ζ5+2ζ8+2ζ17+ζ23+2ζ26+ζ32+ζ41+2ζ44+ζ50+2ζ53+ζ59+2ζ62−2ζ5−ζ8−ζ17−2ζ23−ζ26−2ζ32−2ζ41−ζ44−2ζ50−ζ53−2ζ59−ζ620000
χ32333−3+3i32−3−3i3233333300−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000−ζ4−ζ13+ζ16−ζ22+ζ25−ζ31+ζ34−ζ40+ζ43+ζ52−ζ58+ζ612ζ4+2ζ13+ζ16+2ζ22+ζ25+2ζ31+ζ34+2ζ40+ζ43+ζ52+2ζ58+ζ61−ζ4−ζ13−2ζ16−ζ22−2ζ25−ζ31−2ζ34−ζ40−2ζ43−2ζ52−ζ58−2ζ61ζ5+2ζ8+2ζ17+ζ23+2ζ26+ζ32+ζ41+2ζ44+ζ50+2ζ53+ζ59+2ζ62−2ζ5−ζ8−ζ17−2ζ23−ζ26−2ζ32−2ζ41−ζ44−2ζ50−ζ53−2ζ59−ζ62ζ5−ζ8−ζ17+ζ23−ζ26+ζ32+ζ41−ζ44+ζ50−ζ53+ζ59−ζ620000
χ33333−3−3i32−3+3i3233333300−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000−2ζ5−ζ8−ζ17−2ζ23−ζ26−2ζ32−2ζ41−ζ44−2ζ50−ζ53−2ζ59−ζ62ζ5−ζ8−ζ17+ζ23−ζ26+ζ32+ζ41−ζ44+ζ50−ζ53+ζ59−ζ62ζ5+2ζ8+2ζ17+ζ23+2ζ26+ζ32+ζ41+2ζ44+ζ50+2ζ53+ζ59+2ζ62−ζ4−ζ13−2ζ16−ζ22−2ζ25−ζ31−2ζ34−ζ40−2ζ43−2ζ52−ζ58−2ζ61−ζ4−ζ13+ζ16−ζ22+ζ25−ζ31+ζ34−ζ40+ζ43+ζ52−ζ58+ζ612ζ4+2ζ13+ζ16+2ζ22+ζ25+2ζ31+ζ34+2ζ40+ζ43+ζ52+2ζ58+ζ610000
χ34333−3−3i32−3+3i3233333300−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000ζ5−ζ8−ζ17+ζ23−ζ26+ζ32+ζ41−ζ44+ζ50−ζ53+ζ59−ζ62ζ5+2ζ8+2ζ17+ζ23+2ζ26+ζ32+ζ41+2ζ44+ζ50+2ζ53+ζ59+2ζ62−2ζ5−ζ8−ζ17−2ζ23−ζ26−2ζ32−2ζ41−ζ44−2ζ50−ζ53−2ζ59−ζ62−ζ4−ζ13+ζ16−ζ22+ζ25−ζ31+ζ34−ζ40+ζ43+ζ52−ζ58+ζ612ζ4+2ζ13+ζ16+2ζ22+ζ25+2ζ31+ζ34+2ζ40+ζ43+ζ52+2ζ58+ζ61−ζ4−ζ13−2ζ16−ζ22−2ζ25−ζ31−2ζ34−ζ40−2ζ43−2ζ52−ζ58−2ζ610000
χ35333−3−3i32−3+3i3233333300−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000ζ5+2ζ8+2ζ17+ζ23+2ζ26+ζ32+ζ41+2ζ44+ζ50+2ζ53+ζ59+2ζ62−2ζ5−ζ8−ζ17−2ζ23−ζ26−2ζ32−2ζ41−ζ44−2ζ50−ζ53−2ζ59−ζ62ζ5−ζ8−ζ17+ζ23−ζ26+ζ32+ζ41−ζ44+ζ50−ζ53+ζ59−ζ622ζ4+2ζ13+ζ16+2ζ22+ζ25+2ζ31+ζ34+2ζ40+ζ43+ζ52+2ζ58+ζ61−ζ4−ζ13−2ζ16−ζ22−2ζ25−ζ31−2ζ34−ζ40−2ζ43−2ζ52−ζ58−2ζ61−ζ4−ζ13+ζ16−ζ22+ζ25−ζ31+ζ34−ζ40+ζ43+ζ52−ζ58+ζ610000
χ36999−9+9i32−9−9i32−3−3i72−3+3i72−3−3i72−3−3i72−3+3i72−3+3i72003ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60000000000000000000000000000000000000
χ37999−9+9i32−9−9i32−3+3i72−3−3i72−3+3i72−3+3i72−3−3i72−3−3i72003ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33000000000000000000000000000000000000
χ38999−9−9i32−9+9i32−3−3i72−3+3i72−3−3i72−3−3i72−3+3i72−3+3i72003ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ57000000000000000000000000000000000000
χ39999−9−9i32−9+9i32−3+3i72−3−3i72−3+3i72−3+3i72−3−3i72−3−3i72003ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48000000000000000000000000000000000000
χ409−9+9i32−9−9i320099−9+9i32−9−9i32−9+9i32−9−9i32000000000000000000000000000000000000000000
χ419−9+9i32−9−9i3200−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60000000ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ622ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ62ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53000000000000000000000000
χ429−9+9i32−9−9i3200−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60000000−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ62−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ622ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53000000000000000000000000
χ439−9+9i32−9−9i3200−3−3i72−3+3i723ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ333ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ60000000ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ582ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ62−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ62ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53000000000000000000000000
χ449−9+9i32−9−9i3200−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33000000ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ532ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ62−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ62000000000000000000000000
χ459−9+9i32−9−9i3200−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33000000ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ62−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ622ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62000000000000000000000000
χ469−9+9i32−9−9i3200−3+3i72−3−3i723ζ30+3ζ39+3ζ573ζ15+3ζ51+3ζ603ζ3+3ζ12+3ζ483ζ6+3ζ24+3ζ33000000−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ622ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ62000000000000000000000000
χ479−9−9i32−9+9i320099−9−9i32−9+9i32−9−9i32−9+9i32000000000000000000000000000000000000000000
χ489−9−9i32−9+9i3200−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ57000000−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ62−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ622ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58000000000000000000000000
χ499−9−9i32−9+9i3200−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ570000002ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ62−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ62ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58000000000000000000000000
χ509−9−9i32−9+9i3200−3−3i72−3+3i723ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ483ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ57000000−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ622ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ62−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58000000000000000000000000
χ519−9−9i32−9+9i3200−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48000000ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ532ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ62−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ62ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61000000000000000000000000
χ529−9−9i32−9+9i3200−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48000000ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ62−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ622ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61000000000000000000000000
χ539−9−9i32−9+9i3200−3+3i72−3−3i723ζ15+3ζ51+3ζ603ζ30+3ζ39+3ζ573ζ6+3ζ24+3ζ333ζ3+3ζ12+3ζ48000000−2ζ8+2ζ23−ζ32+ζ44−ζ50+ζ53ζ8−ζ23−ζ32+ζ44+2ζ50−2ζ53ζ8−ζ23+2ζ32−2ζ44−ζ50+ζ53−ζ5−2ζ17+ζ26+2ζ41−ζ59+ζ622ζ5+ζ17+ζ26−ζ41−ζ59−2ζ62−ζ5+ζ17−2ζ26−ζ41+2ζ59+ζ62−2ζ4−ζ16+ζ22−ζ25+2ζ43+ζ58ζ4+2ζ16−2ζ22−ζ25−ζ43+ζ58ζ4−ζ16+ζ22+2ζ25−ζ43−2ζ58ζ13+ζ31−ζ34−2ζ40+2ζ52−ζ61ζ13−2ζ31+2ζ34+ζ40−ζ52−ζ61−2ζ13+ζ31−ζ34+ζ40−ζ52+2ζ61000000000000000000000000

Here ζ is a primitive root of unity of order 63 (ζ63 = 1); i = ζ15.