Finite Group Databasebeta

← Group #13085881

Character table — Group #13085881

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222244444444444444444444666666668888888810101010101012121212121212121212121212121212121212121212121212121515151518182020202020203030303030303636363660609090
order1222335566666610101010101036661515151530303030303030303030303044441212121215153030303030302266661212202020202020202060606060606060606060606060606060444444666666441212121220202020121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1
χ91-11-111111-1-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1i−i1-111-1-11111-1-1-1-11-111-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-111-1-1i−i1-111-1-1i−i11-1-1ii−i−ii−ii−i
χ101-11-111111-1-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1i−i1-111-1-11111-1-1-1-1-11-1-111i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1-1-111i−i-11-1-111−ii-1-111ii−i−i−ii−ii
χ111-11-111111-1-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1i−i-11-1-1111111-1-1-1-11-111-1-1i−i-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111-1-111−ii1-111-1-1i−i-1-111−i−iiii−i−ii
χ121-11-111111-1-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1i−i-11-1-1111111-1-1-1-1-11-1-111i−i-1-111ii−i−iiiii−i−i−i−i-1-1-1-1111111-1-1−ii-11-1-111−ii11-1-1−i−iii−iii−i
χ131-11-111111-1-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−ii1-111-1-11111-1-1-1-11-111-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-111-1-1−ii1-111-1-1−ii11-1-1−i−iii−ii−ii
χ141-11-111111-1-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−ii1-111-1-11111-1-1-1-1-11-1-111−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1-1-111−ii-11-1-111i−i-1-111−i−iiii−ii−i
χ151-11-111111-1-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−ii-11-1-1111111-1-1-1-11-111-1-1−ii-1-111−i−iii−i−i−i−iiiii-1-1-1-11111-1-111i−i1-111-1-1−ii-1-111ii−i−i−iii−i
χ161-11-111111-1-1-1-11-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−ii-11-1-1111111-1-1-1-1-11-1-111−ii-1-111−i−iii−i−i−i−iiiii-1-1-1-1111111-1-1i−i-11-1-111i−i11-1-1ii−i−ii−i−ii
χ17222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000022−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022000000000000−1−52−1+52−1−52−1+520000
χ18222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000221+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-2-20000000000001+521−521+521−520000
χ19222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-2-2−1−52−1+52−1−52−1+521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-20000000000001+521−521+521−520000
χ20222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000022000000000000−1−52−1+52−1−52−1+520000
χ21222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000022−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022000000000000−1+52−1−52−1+52−1−520000
χ22222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000221−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000-2-20000000000001−521+521−521+520000
χ23222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-2-2−1+52−1−52−1+52−1−521−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-20000000000001−521+521−521+520000
χ24222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000022000000000000−1+52−1−52−1+52−1−520000
χ2522222-1222-1-122-1222222-1-1-1-12-12-1222-1-12-1-1-1-1220022-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1002222000000000000-1-1-1-1-1-1-1-122220022-1-1-1-100-1-1-1-100000000
χ2622222-1222-1-122-1222222-1-1-1-12-12-1222-1-12-1-1-1-1220022-1-1-1-1-1-1-1-1-1-1-1-1-2-21111002222000000000000-1-1-1-1-1-1-1-1-2-2-2-200-2-2111100111100000000
χ2722222-1222-1-122-1222222-1-1-1-12-12-1222-1-12-1-1-1-12200-2-21111-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-200000000000011111111-2-2-2-20022-1-1-1-100111100000000
χ2822222-1222-1-122-1222222-1-1-1-12-12-1222-1-12-1-1-1-12200-2-21111-1-1-1-1-1-1-1-1-2-2111100-2-2-2-200000000000011111111222200-2-2111100-1-1-1-100000000
χ292222-1222-122-1-12222222-1-1-1-1-12-12-1-1-122-12222-1-122000000-1-1-1-1-1-1-1-1222222-1-100002222-1-1-1-1-1-1-1-100000000000000-1-1-1-1-1-12200000000-1-100
χ302222-1222-122-1-12222222-1-1-1-1-12-12-1-1-122-12222-1-122000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-100002222-1-1-1-1-1-1-1-100000000000000111111-2-2000000001100
χ312222-1222-122-1-12222222-1-1-1-1-12-12-1-1-122-12222-1-1-2-2000000-1-1-1-1-1-1-1-1222222110000-2-2-2-21111111100000000000000-1-1-1-1-1-1-2-2000000001100
χ322222-1222-122-1-12222222-1-1-1-1-12-12-1-1-122-12222-1-1-2-2000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2110000-2-2-2-211111111000000000000001111112200000000-1-100
χ3322-2-22222-22-22-2-2-2-2-2-2222-22-22222-2-2-22-2-22-2-2-2220000000022-2-22-22-2000000000000000000000000000000002i−2i2i−2i00000000002i−2i2i−2i00000000
χ3422-2-22222-22-22-2-2-2-2-2-2222-22-22222-2-2-22-2-22-2-2-2220000000022-2-22-22-200000000000000000000000000000000−2i2i−2i2i0000000000−2i2i−2i2i00000000
χ3522-2-22-122-2-112-21-2-2-2-222-11-112-12-1-2-2-2-11-2-11112200003−33−3-1-111-11-1100−i3i3−i3i30000000000000000003−33−33−33−32i−2i2i−2i0000−i3i3−i3i300−ii−ii00000000
χ3622-2-22-122-2-112-21-2-2-2-222-11-112-12-1-2-2-2-11-2-11112200003−33−3-1-111-11-1100i3−i3i3−i30000000000000000003−33−33−33−3−2i2i−2i2i0000i3−i3i3−i300i−ii−i00000000
χ3722-2-22-122-2-112-21-2-2-2-222-11-112-12-1-2-2-2-11-2-1111220000−33−33-1-111-11-1100−i3i3−i3i3000000000000000000−33−33−33−33−2i2i−2i2i0000−i3i3−i3i300i−ii−i00000000
χ3822-2-22-122-2-112-21-2-2-2-222-11-112-12-1-2-2-2-11-2-1111220000−33−33-1-111-11-1100i3−i3i3−i3000000000000000000−33−33−33−332i−2i2i−2i0000i3−i3i3−i300−ii−ii00000000
χ392-22-222−1−52−1+522-2-2-2-221+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521−521−521−52−1−52−1+521+521−522i−2i2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−520000002i−2i−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−52−1+52−1+521+521+521−521−5200002i−2i000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000
χ402-22-222−1−52−1+522-2-2-2-221+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521−521−521−52−1−52−1+521+521−522i−2i-22-2-222−1−52−1+52−1−52−1+521+521+521−521−520000002i−2i1+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ471+521+521−521−52−1−52−1−52−1+52−1+520000−2i2i000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000
χ412-22-222−1−52−1+522-2-2-2-221+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521−521−521−52−1−52−1+521+521−52−2i2i2-222-2-2−1−52−1+52−1−52−1+521+521+521−521−52000000−2i2i−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1+52−1+521+521+521−521−520000−2i2i000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ470000
χ422-22-222−1−52−1+522-2-2-2-221+521−52−1−52−1+521+521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521−521−521−52−1−52−1+521+521−52−2i2i-22-2-222−1−52−1+52−1−52−1+521+521+521−521−52000000−2i2i1+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ471+521+521−521−52−1−52−1−52−1+52−1+5200002i−2i000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ470000
χ432-22-222−1+52−1−522-2-2-2-221−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521+521+521+52−1+52−1−521−521+522i−2i2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+520000002i−2i−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+52−1−52−1−521−521−521+521+5200002i−2i000000000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ590000
χ442-22-222−1+52−1−522-2-2-2-221−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521+521+521+52−1+52−1−521−521+522i−2i-22-2-222−1+52−1−52−1+52−1−521−521−521+521+520000002i−2i1−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ591−521−521+521+52−1+52−1+52−1−52−1−520000−2i2i000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000
χ452-22-222−1+52−1−522-2-2-2-221−521+52−1+52−1−521−521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521+521+521+52−1+52−1−521−521+52−2i2i2-222-2-2−1+52−1−52−1+52−1−521−521−521+521+52000000−2i2i−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1−52−1−521−521−521+521+520000−2i2i000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ590000
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χ944-4-4444−1−5−1+5-4-44-44-4−1−5−1+51+51−51+51−54-4-44−1−5−1−5−1+5−1+51+51−5−1−51+5−1−5−1+51−5−1+51+51−51+51−500000000−1−5−1+51+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000
χ954-4-4444−1+5−1−5-4-44-44-4−1+5−1−51−51+51−51+54-4-44−1+5−1+5−1−5−1−51−51+5−1+51−5−1+5−1−51+5−1−51−51+51−51+500000000−1+5−1−51−51+51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000
χ964-4-444-2−1−5−1+5-42-2-442−1−5−1+51+51−51+51−5-222-2−1−51+52−1+51−521+51−5−1−5−1−521+52−1+5−1+521−52−1−52−1+521+51−5000023−23−23231+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000000000−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700000000000000000000000000
χ974-4-444-2−1−5−1+5-42-2-442−1−5−1+51+51−51+51−5-222-2−1−51+52−1+51−521+51−5−1−5−1−521+52−1+5−1+521−52−1−52−1+521+51−50000−232323−231+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000000000ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700000000000000000000000000
χ984-4-444-2−1+5−1−5-42-2-442−1+5−1−51−51+51−51+5-222-2−1+51−52−1−51+521−51+5−1+5−1+521−52−1−5−1−521+52−1+52−1−521−51+5000023−23−23231−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000000000ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000000000000
χ994-4-444-2−1+5−1−5-42-2-442−1+5−1−51−51+51−51+5-222-2−1+51−52−1−51+521−51+5−1+5−1+521−52−1−5−1−521+52−1+52−1−521−51+50000−232323−231−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000000000−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900000000000000000000000000
χ1004-4-44-24442-442-2-444-4-4-4-4-222-2-24-2422-2-44-2-44-4-42200000000-2-2222-22-20000000000000000000000000000000000000000000000000000000000
χ1014-4-44-24−1−5−1+52-442-2-4−1−5−1+51+51−51+51−5-222-21+52−1−51−52−1+5−1−52−1+521+521+5−1−51−521−5−1+51+51−5−1−52−1+52000000001+521−52−1−52−1+52−1−521+52−1+521−520000000000000000ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000000000000000000000000
χ1024-4-44-24−1−5−1+52-442-2-4−1−5−1+51+51−51+51−5-222-21+52−1−51−52−1+5−1−52−1+521+521+5−1−51−521−5−1+51+51−5−1−52−1+52000000001+521−52−1−52−1+52−1−521+52−1+521−520000000000000000−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000000000000000000000000
χ1034-4-44-24−1+5−1−52-442-2-4−1+5−1−51−51+51−51+5-222-21−52−1+51+52−1−5−1+52−1−521−521−5−1+51+521+5−1−51−51+5−1+52−1−52000000001−521+52−1+52−1−52−1+521−52−1−521+520000000000000000−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000000000000000000000000
χ1044-4-44-24−1+5−1−52-442-2-4−1+5−1−51−51+51−51+5-222-21−52−1+51+52−1−5−1+52−1−521−521−5−1+51+521+5−1−51−51+5−1+52−1−52000000001−521+52−1+52−1−52−1+521−52−1−521+520000000000000000ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000000000000000000000000
χ1054-4-44-2-24422-22-2244-4-4-4-41-1-11-2-2-2-222-22-2-22-222220000000011-1-1-11-1100−2i32i32i3−2i30000000000000000000000000000000000i3−i3−i3i300000000000000
χ1064-4-44-2-24422-22-2244-4-4-4-41-1-11-2-2-2-222-22-2-22-222220000000011-1-1-11-11002i3−2i3−2i32i30000000000000000000000000000000000−i3i3i3−i300000000000000
χ1078888-4-4−2−25−2+25-4-4-4-4-4-4−2−25−2+25−2−25−2+25−2−25−2+2522221+51+51−51−51+51−51+51+51+51−51−51−51+51−51+51−500000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000000000
χ1088888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2−25−2+25−2−25−2+25−2−2522221−51−51+51+51−51+51−51−51−51+51+51+51−51+51−51+500000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4−2−25−2+254-44-4442+252−252+252−25−2−25−2+252-22-21+51+51−51−5−1−5−1+5−1−51+5−1−5−1+51−5−1+5−1−5−1+51+51−500000000−1−52−1+521+521−52−1−521+52−1+521−520000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4−2+25−2−254-44-4442−252+252−252+25−2+25−2−252-22-21−51−51+51+5−1+5−1−5−1+51−5−1+5−1−51+5−1−5−1+5−1−51−51+500000000−1+52−1−521−521+52−1+521−52−1−521+520000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4−2−25−2+25-44444-42+252−25−2−25−2+252+252−2522-2-21+51+51−51−51+51−5−1−5−1−5−1−5−1+5−1+5−1+51+51−5−1−5−1+500000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4−2+25−2−25-44444-42−252+25−2+25−2−252−252+2522-2-21−51−51+51+51−51+5−1+5−1+5−1+5−1−5−1−5−1−51−51+5−1+5−1−500000000−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4−2−25−2+2544-44-44−2−25−2+252+252−252+252−252-2-221+51+51−51−5−1−5−1+51+5−1−51+51−5−1+51−5−1−5−1+5−1−5−1+500000000−1−52−1+521+521−521+52−1−521−52−1+520000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4−2+25−2−2544-44-44−2+25−2−252−252+252−252+252-2-221−51−51+51+5−1+5−1−51−5−1+51−51+5−1−51+5−1+5−1−5−1+5−1−500000000−1+52−1−521−521+521−52−1+521+52−1−520000000000000000000000000000000000000000000000000000000000

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