Finite Group Databasebeta

← Group #13085932

Character table — Group #13085932

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222244444444444444444444666666668888888810101010101012121212121212121212121212121212121212121212121212121515151518182020202020203030303030303636363660609090
order1222335566666610101010101036661515151530303030303030303030303044441212121215153030303030302266661212202020202020202060606060606060606060606060606060444422666666441212121210101010121244
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
χ3111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
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
χ91-1-11111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−i1111-1-1-1-11-111-1-1i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i1-11-111-1-1i−iii−i−i11-1-1i−i1-1
χ101-1-11111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−i1111-1-1-1-1-11-1-111i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii1-1-11-1-111−ii−i−iii11-1-1−ii-11
χ111-1-11111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1i−i−ii−i−iii1111-1-1-1-11-111-1-1i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iii-111-111-1-1i−i−i−iii-1-111i−i-11
χ121-1-11111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1i−i−ii−i−iii1111-1-1-1-1-11-1-111i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i-11-11-1-111−iiii−i−i-1-111−ii1-1
χ131-1-11111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−iii−iii−i−i1111-1-1-1-11-111-1-1−ii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i-111-111-1-1−iiii−i−i-1-111−ii-11
χ141-1-11111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−iii−iii−i−i1111-1-1-1-1-11-1-111−ii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii-11-11-1-111i−i−i−iii-1-111i−i1-1
χ151-1-11111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii1111-1-1-1-11-111-1-1−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii1-11-111-1-1−ii−i−iii11-1-1−ii1-1
χ161-1-11111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii1111-1-1-1-1-11-1-111−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−i1-1-11-1-111i−iii−i−i11-1-1i−i-11
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+5200000022−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+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+52000000-2-21+521−521+521−52−1−52−1+52−1−52−1+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+52−1−52−1−5200000022−1+52−1−52−1+52−1−521−521+521−521+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+52−1−52−1−52000000-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521−521+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
χ2522222-1222-12-1-12222222-1-1-1-12-12-12-12-12-12-12-12-122000000-1-1-1-1-1-1-1-1222222-1-122220000-1-1-1-1-1-1-1-100000000000000-1-1-1-1-1-12200000000-1-100
χ2622222-1222-12-1-12222222-1-1-1-12-12-12-12-12-12-12-12-122000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-122220000-1-1-1-1-1-1-1-100000000000000111111-2-2000000001100
χ2722222-1222-12-1-12222222-1-1-1-12-12-12-12-12-12-12-12-1-2-2000000-1-1-1-1-1-1-1-122222211-2-2-2-200001111111100000000000000-1-1-1-1-1-1-2-2000000001100
χ2822222-1222-12-1-12222222-1-1-1-12-12-12-12-12-12-12-12-1-2-2000000-1-1-1-1-1-1-1-1-2-2-2-2-2-211-2-2-2-2000011111111000000000000001111112200000000-1-100
χ292222-1222-12-122-1222222-1-1-1-1-12-12-12-12-12-12-12-120022-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000222200000000-1-1-1-1-1-1-1-122220022-1-1-1-100-1-1-1-100000000
χ302222-1222-12-122-1222222-1-1-1-1-12-12-12-12-12-12-12-120022-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000000222200000000-1-1-1-1-1-1-1-1-2-2-2-200-2-2111100111100000000
χ312222-1222-12-122-1222222-1-1-1-1-12-12-12-12-12-12-12-1200-2-21111-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2-2-20000000011111111-2-2-2-20022-1-1-1-100111100000000
χ322222-1222-12-122-1222222-1-1-1-1-12-12-12-12-12-12-12-1200-2-21111-1-1-1-1-1-1-1-1-2-21111000000-2-2-2-20000000011111111222200-2-2111100-1-1-1-100000000
χ3322-2-22222-2-222-2-2-2-22-22-22-22-22222-2-2-2-22-22-2-22-220000000022-2-22-22-2000000000000000000000000000000002i−2i2i−2i00000000002i−2i2i−2i00000000
χ3422-2-22222-2-222-2-2-2-22-22-22-22-22222-2-2-2-22-22-2-22-220000000022-2-22-22-200000000000000000000000000000000−2i2i−2i2i0000000000−2i2i−2i2i00000000
χ3522-2-2-12221-2-12-21-2-22-22-2-11-11-12-121-21-2-1-2-1-2121200003−33−3-1-111-11-1100−i3i3−i3i30000000000000000003−33−33−33−32i−2i2i−2i0000−i3i3−i3i300−ii−ii00000000
χ3622-2-2-12221-2-12-21-2-22-22-2-11-11-12-121-21-2-1-2-1-2121200003−33−3-1-111-11-1100i3−i3i3−i30000000000000000003−33−33−33−3−2i2i−2i2i0000i3−i3i3−i300i−ii−i00000000
χ3722-2-2-12221-2-12-21-2-22-22-2-11-11-12-121-21-2-1-2-1-212120000−33−33-1-111-11-1100−i3i3−i3i3000000000000000000−33−33−33−33−2i2i−2i2i0000−i3i3−i3i300i−ii−i00000000
χ3822-2-2-12221-2-12-21-2-22-22-2-11-11-12-121-21-2-1-2-1-212120000−33−33-1-111-11-1100i3−i3i3−i3000000000000000000−33−33−33−332i−2i2i−2i0000i3−i3i3−i300−ii−ii00000000
χ392-22-22222-2-2-2-222-2-2-22-222-2-222222-2-2-2-2-22-222-22-20000000022-2-2-22-22000000000000000000000000000000002-2-2200000000002-2-2200000000
χ402-22-22222-2-2-2-222-2-2-22-222-2-222222-2-2-2-2-22-222-22-20000000022-2-2-22-2200000000000000000000000000000000-222-20000000000-222-200000000
χ412-22-2-12221-21-22-1-2-2-22-22-111-1-12-121-21-21212-1-2-1-20000−i3i3i3−i3-1-1111-11-100−i3i3i3−i3000000000000000000−i3i3−i3i3i3−i3i3−i32-2-220000−i3i3i3−i300-111-100000000
χ422-22-2-12221-21-22-1-2-2-22-22-111-1-12-121-21-21212-1-2-1-20000−i3i3i3−i3-1-1111-11-100i3−i3−i3i3000000000000000000−i3i3−i3i3i3−i3i3−i3-222-20000i3−i3−i3i3001-1-1100000000
χ432-22-2-12221-21-22-1-2-2-22-22-111-1-12-121-21-21212-1-2-1-20000i3−i3−i3i3-1-1111-11-100−i3i3i3−i3000000000000000000i3−i3i3−i3−i3i3−i3i3-222-20000−i3i3i3−i3001-1-1100000000
χ442-22-2-12221-21-22-1-2-2-22-22-111-1-12-121-21-21212-1-2-1-20000i3−i3−i3i3-1-1111-11-100i3−i3−i3i3000000000000000000i3−i3i3−i3−i3i3−i3i32-2-220000i3−i3−i3i300-111-100000000
χ452-2-2222−1−52−1+5222-2-2-2-2−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i−2i2i−2i2i2i−2i−2i−1−52−1+52−1−52−1+521+521+521−521−520000002i−2i−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−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−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+ζ4700002-2000000000000−1−52−1+521+521−520000
χ462-2-2222−1−52−1+5222-2-2-2-2−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i−2i−2i2i−2i−2i2i2i−1−52−1+52−1−52−1+521+521+521−521−520000002i−2i−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−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+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−ζ470000-220000000000001+521−52−1−52−1+520000
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χ482-2-2222−1−52−1+5222-2-2-2-2−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−2i2i−2i2i−2i−2i2i2i−1−52−1+52−1−52−1+521+521+521−521−52000000−2i2iζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+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−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−ζ4700002-2000000000000−1−52−1+521+521−520000
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χ904-44-44-2−1+5−1−5-42-42-241−51+51−5−1+51+5−1−5-222-2−1+51−52−1−51+521−5−1+521+5−1−521−51−521+51+52−1+5−1+52−1−5−1−52000000001−521+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
χ914-44-4-24−1−5−1+52-42-44-21+51−51+5−1−51−5−1+5-222-21+52−1−51−52−1+5−1−521+5−1+521−5−1−52−1−5−1+52−1+51+521+51−521−50000−2i32i32i3−2i31+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000000000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ5800000000000000000000000000
χ924-44-4-24−1−5−1+52-42-44-21+51−51+5−1−51−5−1+5-222-21+52−1−51−52−1+5−1−521+5−1+521−5−1−52−1−5−1+52−1+51+521+51−521−500002i3−2i3−2i32i31+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000000000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ5800000000000000000000000000
χ934-44-4-24−1+5−1−52-42-44-21−51+51−5−1+51+5−1−5-222-21−52−1+51+52−1−5−1+521−5−1−521+5−1+52−1+5−1−52−1−51−521−51+521+50000−2i32i32i3−2i31−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000000000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600000000000000000000000000
χ944-44-4-24−1+5−1−52-42-44-21−51+51−5−1+51+5−1−5-222-21−52−1+51+52−1−5−1+521−5−1−521+5−1+52−1+5−1−52−1−51−521−51+521+500002i3−2i3−2i32i31−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000000000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600000000000000000000000000
χ954-44-4-2-2442222-2-2-4-4-44-441-1-11-2-2-2-222222-22-2-22-220000000011-1-1-11-1100−2i32i32i3−2i30000000000000000000000000000000000i3−i3−i3i300000000000000
χ964-44-4-2-2442222-2-2-4-4-44-441-1-11-2-2-2-222222-22-2-22-220000000011-1-1-11-11002i3−2i3−2i32i30000000000000000000000000000000000−i3i3i3−i300000000000000
χ974-4-444-2−1−5−1+54-2-422-4−1−5−1+51+51+51−51−5-2-222−1−51+52−1+51−52−1−51+52−1+51−521+5−1−521−5−1+521+5−1−521−5−1+524i−4i0000001+521−521+521−52−1−52−1−52−1+52−1+52000000−2i2i−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ470000ζ11+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−ζ470000000000000000000000000000000000
χ984-4-444-2−1−5−1+54-2-422-4−1−5−1+51+51+51−51−5-2-222−1−51+52−1+51−52−1−51+52−1+51−521+5−1−521−5−1+521+5−1−521−5−1+52−4i4i0000001+521−521+521−52−1−52−1−52−1+52−1+520000002i−2i2ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ470000−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+ζ470000000000000000000000000000000000
χ994-4-444-2−1+5−1−54-2-422-4−1+5−1−51−51−51+51+5-2-222−1+51−52−1−51+52−1+51−52−1−51+521−5−1+521+5−1−521−5−1+521+5−1−524i−4i0000001−521+521−521+52−1+52−1+52−1−52−1−52000000−2i2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ590000ζ7+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−ζ590000000000000000000000000000000000
χ1004-4-444-2−1+5−1−54-2-422-4−1+5−1−51−51−51+51+5-2-222−1+51−52−1−51+52−1+51−52−1−51+521−5−1+521+5−1−521−5−1+521+5−1−52−4i4i0000001−521+521−521+52−1+52−1+52−1−52−1−520000002i−2i2ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ590000−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+ζ590000000000000000000000000000000000
χ1014-4-44-24−1−5−1+5-242-4-42−1−5−1+51+51+51−51−5-2-2221+52−1−51−52−1+51+52−1−51−52−1+5−1−521+5−1+521−5−1−521+5−1+521−5004i−4i−2i−2i2i2i1+521−521+521−52−1−52−1−52−1+52−1+52000000000000−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ4700000000ζ11+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−ζ4700000000000000000000000000
χ1024-4-44-24−1−5−1+5-242-4-42−1−5−1+51+51+51−51−5-2-2221+52−1−51−52−1+51+52−1−51−52−1+5−1−521+5−1+521−5−1−521+5−1+521−500−4i4i2i2i−2i−2i1+521−521+521−52−1−52−1−52−1+52−1+520000000000002ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ4700000000−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+ζ4700000000000000000000000000
χ1034-4-44-24−1+5−1−5-242-4-42−1+5−1−51−51−51+51+5-2-2221−52−1+51+52−1−51−52−1+51+52−1−5−1+521−5−1−521+5−1+521−5−1−521+5004i−4i−2i−2i2i2i1−521+521−521+52−1+52−1+52−1−52−1−52000000000000−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ5900000000ζ7+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−ζ5900000000000000000000000000
χ1044-4-44-24−1+5−1−5-242-4-42−1+5−1−51−51−51+51+5-2-2221−52−1+51+52−1−51−52−1+51+52−1−5−1+521−5−1−521+5−1+521−5−1−521+500−4i4i2i2i−2i−2i1−521+521−521+52−1+52−1+52−1−52−1−520000000000002ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ5900000000−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+ζ5900000000000000000000000000
χ1054-4-44-2-244-2-2222244-4-4-4-411-1-1-2-2-2-2-2-2-2-222222222000000001111-1-1-1-14-4-2-22200000000000000000000000000000000-2211-1-100000000000000
χ1064-4-44-2-244-2-2222244-4-4-4-411-1-1-2-2-2-2-2-2-2-222222222000000001111-1-1-1-1-4422-2-2000000000000000000000000000000002-2-1-11100000000000000
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+2544-4-4442+252−25−2−252+25−2+252−252-22-21+51+51−51−5−1−5−1−5−1+5−1+51+5−1−51−5−1+5−1−51+5−1+51−500000000−1−52−1+521+521−52−1−521+52−1+521−520000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4−2+25−2−2544-4-4442−252+25−2+252−25−2−252+252-22-21−51−51+51+5−1+5−1+5−1−5−1−51−5−1+51+5−1−5−1+51−5−1−51+500000000−1+52−1−521−521+52−1+521−52−1−521+520000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4−2−25−2+254444-4-42+252−252+25−2−252−25−2+252-2-221+51+51−51−5−1−5−1−5−1+5−1+5−1−51+5−1+51−51+5−1−51−5−1+500000000−1−52−1+521+521−521+52−1−521−52−1+520000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4−2+25−2−254444-4-42−252+252−25−2+252+25−2−252-2-221−51−51+51+5−1+5−1+5−1−5−1−5−1+51−5−1−51+51−5−1+51+5−1−500000000−1+52−1−521−521+521−52−1+521+52−1−520000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4−2−25−2+25-4-44444−2−25−2+252+252+252−252−2522-2-21+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+500000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4−2+25−2−25-4-44444−2+25−2−252−252−252+252+2522-2-21−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−500000000−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000000000

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