Finite Group Databasebeta

← Group #13085920

Character table — Group #13085920

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222222444444444444444444445555666666666666888888881010101010101010121212121212121212121212121212121212121212121212181820202020303030303030303030303030363636369090
order1222335566666610101010101036661515151530303030303030303030303044442244666612121212151530303030303012121212121212121010101020202020303030303030303060606060606060604412121212444412121212121212122020202022
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1
χ91-11-111111-1-1-11-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1ii−i−i1-1i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−iii−i−i1-1i−i11-1-1ii−i−iii−i−i1-1
χ101-11-111111-1-1-11-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1ii−i−i1-1−ii11-1-1−i−iii1111-1-1-1-1ii−i−iii−i−i11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−iiii−i−i-11i−i-1-111ii−i−i−i−iii-11
χ111-11-111111-1-1-11-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1ii−i−i-11i−i-1-111ii−i−i1111-1-1-1-1ii−i−iii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−iiii−i−i1-1−ii11-1-1−i−iii−i−iii-11
χ121-11-111111-1-1-11-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1ii−i−i-11−ii-1-111−i−iii1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−iii−i−i-11−ii-1-111−i−iiiii−i−i1-1
χ131-11-111111-1-1-11-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1−i−iii1-1i−i11-1-1ii−i−i1111-1-1-1-1−i−iii−i−iii11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−i−i−iii-11−ii-1-111−i−iiiii−i−i-11
χ141-11-111111-1-1-11-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1−i−iii1-1−ii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii−i−iii1-1−ii11-1-1−i−iii−i−iii1-1
χ151-11-111111-1-1-11-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1−i−iii-11i−i-1-111ii−i−i1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ii−i−iii-11i−i-1-111ii−i−i−i−iii1-1
χ161-11-111111-1-1-11-111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1−i−iii-11−ii-1-111−i−iii1111-1-1-1-1−i−iii−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−i−i−iii1-1i−i11-1-1ii−i−iii−i−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+520000222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+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+52220000000000000000−1−52−1+52−1−52−1+5200
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+52000022-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+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+521−521−52-2-200000000000000001+521−521+521−5200
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+520000-2-222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000001+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+52-2-200000000000000001+521−521+521−5200
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+520000-2-2-2-2-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52220000000000000000−1−52−1+52−1−52−1+5200
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+52−1−520000222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000−1+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+52−1−52−1−52220000000000000000−1+52−1−52−1+52−1−5200
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+52−1−52000022-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000−1+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+52-2-200000000000000001−521+521−521+5200
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+52−1−520000-2-222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000001−521+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+52−1−52−1−52-2-200000000000000001−521+521−521+5200
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+52−1−520000-2-2-2-2-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52220000000000000000−1+52−1−52−1+52−1−5200
χ2522222-122-1-1222-1222222-1-1-1-122-1-12222-1-1-1-1-1-12222222200-1-1-1-10000-1-1-1-1-1-1-1-12222-1-1-1-122220000-1-1-1-1-1-1-1-10000000000-1-1-1-100220000-1-1-1-1000000
χ2622222-122-1-1222-1222222-1-1-1-122-1-12222-1-1-1-1-1-1222222-2-20011110000-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000111111110000000000-1-1-1-100-2-200001111000000
χ2722222-122-1-1222-1222222-1-1-1-122-1-12222-1-1-1-1-1-122-2-2-2-22200-1-1-1-10000-1-1-1-1-1-1-1-1-2-2-2-2111122220000-1-1-1-1-1-1-1-10000000000111100-2-200001111000000
χ2822222-122-1-1222-1222222-1-1-1-122-1-12222-1-1-1-1-1-122-2-2-2-2-2-20011110000-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-20000111111110000000000111100220000-1-1-1-1000000
χ292222-122222-1-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1222200220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000222200000000-1-1-1-1-1-1-1-100-1-1-1-12200-1-1-1-10000000000
χ302222-122222-1-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1222200-2-200001111-1-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-2000000001111111100-1-1-1-1-2-20011110000000000
χ312222-122222-1-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1-2-2-2-200220000-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-20000222200000000-1-1-1-1-1-1-1-1001111-2-20011110000000000
χ322222-122222-1-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-1-2-2-2-200-2-200001111-1-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-200000000111111110011112200-1-1-1-10000000000
χ3322-2-22222-222-2-2-2-2-222-2-22-22-22222-2-2-2-2-2-22-22-2222i−2i2i−2i00000000000022-2-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000002i−2i2i−2i000000000000000000
χ3422-2-22222-222-2-2-2-2-222-2-22-22-22222-2-2-2-2-2-22-22-222−2i2i−2i2i00000000000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000−2i2i−2i2i000000000000000000
χ3522-2-22-1221-12-2-21-2-222-2-2-11-1122-1-1-2-2-2-211-11-11222i−2i2i−2i0000−i3i3−i3i30000-1-111-11-112i−2i2i−2i−ii−ii00000000−i3i3−i3i3−i3i3−i3i30000000000−ii−ii000000003−33−3000000
χ3622-2-22-1221-12-2-21-2-222-2-2-11-1122-1-1-2-2-2-211-11-11222i−2i2i−2i0000i3−i3i3−i30000-1-111-11-112i−2i2i−2i−ii−ii00000000i3−i3i3−i3i3−i3i3−i30000000000−ii−ii00000000−33−33000000
χ3722-2-22-1221-12-2-21-2-222-2-2-11-1122-1-1-2-2-2-211-11-1122−2i2i−2i2i0000−i3i3−i3i30000-1-111-11-11−2i2i−2i2ii−ii−i00000000−i3i3−i3i3−i3i3−i3i30000000000i−ii−i00000000−33−33000000
χ3822-2-22-1221-12-2-21-2-222-2-2-11-1122-1-1-2-2-2-211-11-1122−2i2i−2i2i0000i3−i3i3−i30000-1-111-11-11−2i2i−2i2ii−ii−i00000000i3−i3i3−i3i3−i3i3−i30000000000i−ii−i000000003−33−3000000
χ3922-2-2-1222-22-111-2-2-222-2-2-11-11-1-1221111-2-22-22-2-1-12i−2i2i−2i00000000−i3i3−i3i3-1-111-11-11−ii−ii2i−2i2i−2i0000000000000000−i3i3−i3i3−i3i3−i3i300−ii−ii00003−33−30000000000
χ4022-2-2-1222-22-111-2-2-222-2-2-11-11-1-1221111-2-22-22-2-1-12i−2i2i−2i00000000i3−i3i3−i3-1-111-11-11−ii−ii2i−2i2i−2i0000000000000000i3−i3i3−i3i3−i3i3−i300−ii−ii0000−33−330000000000
χ4122-2-2-1222-22-111-2-2-222-2-2-11-11-1-1221111-2-22-22-2-1-1−2i2i−2i2i00000000−i3i3−i3i3-1-111-11-11i−ii−i−2i2i−2i2i0000000000000000−i3i3−i3i3−i3i3−i3i300i−ii−i0000−33−330000000000
χ4222-2-2-1222-22-111-2-2-222-2-2-11-11-1-1221111-2-22-22-2-1-1−2i2i−2i2i00000000i3−i3i3−i3-1-111-11-11i−ii−i−2i2i−2i2i0000000000000000i3−i3i3−i3i3−i3i3−i300i−ii−i00003−33−30000000000
χ432-22-222−1−52−1+522-2-2-22-2−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521−5200002-22i−2i22-2-22i2i−2i−2i−1−52−1+52−1−52−1+521+521+521−521−5200000000−1−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−1−52−1−52−1+52−1+521+521+521−521−52−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+ζ472i−2i0000000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700
χ442-22-222−1−52−1+522-2-2-22-2−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521−5200002-2−2i2i22-2-2−2i−2i2i2i−1−52−1+52−1−52−1+521+521+521−521−5200000000−1−52−1+521+521−52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−1−52−1−52−1+52−1+521+521+521−521−52ζ11+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−ζ47−2i2i0000000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700
χ452-22-222−1−52−1+522-2-2-22-2−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521−520000-222i−2i-2-2222i2i−2i−2i−1−52−1+52−1−52−1+521+521+521−521−52000000001+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ471+521+521−521−52−1−52−1−52−1+52−1+52−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+ζ47−2i2i0000000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700
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χ944-44-44-2−1+5−1−5-22-4-442−1+5−1−51−51+51−51+5-2-222−1+5−1−51−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−521−51+50000-440022-2-200001−521+521−521+52−1+52−1+52−1−52−1−52000000001−51+5−1+5−1−50000−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000000
χ954-44-4-24−1−5−1+54-422-2-4−1−5−1+51+51−51+51−5-2-2221+521−52−1−5−1+51+521−52−1−52−1+52−1−5−1+51+51+51−51−5−1−52−1+520000004i−4i0000−2i−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−ζ47000000000000000000000000
χ964-44-4-24−1−5−1+54-422-2-4−1−5−1+51+51−51+51−5-2-2221+521−52−1−5−1+51+521−52−1−52−1+52−1−5−1+51+51+51−51−5−1−52−1+52000000−4i4i00002i2i−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+ζ47000000000000000000000000
χ974-44-4-24−1+5−1−54-422-2-4−1+5−1−51−51+51−51+5-2-2221−521+52−1+5−1−51−521+52−1+52−1−52−1+5−1−51−51−51+51+5−1+52−1−520000004i−4i0000−2i−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−ζ59000000000000000000000000
χ984-44-4-24−1+5−1−54-422-2-4−1+5−1−51−51+51−51+5-2-2221−521+52−1+5−1−51−521+52−1+52−1−52−1+5−1−51−51−51+51+5−1+52−1−52000000−4i4i00002i2i−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+ζ59000000000000000000000000
χ994-44-4-2-244-2222-2244-4-4-4-411-1-1-2-2-2-2-2-222-2-22222224i4i−4i−4i0000000000001111-1-1-1-1−2i−2i2i2i−2i−2i2i2i00000000000000000000000000ii−i−i000000000000000000
χ1004-44-4-2-244-2222-2244-4-4-4-411-1-1-2-2-2-2-2-222-2-2222222−4i−4i4i4i0000000000001111-1-1-1-12i2i−2i−2i2i2i−2i−2i00000000000000000000000000−i−iii000000000000000000
χ1014-4-4444−1−5−1+5-4-4-44-441+51−51+51−5−1−5−1+54-4-44−1−5−1+5−1−5−1+51+51−5−1−5−1+51+51−51+5−1−51−5−1+51+51−50000000000000000−1−5−1+51+51−51+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000
χ1024-4-4444−1+5−1−5-4-4-44-441−51+51−51+5−1+5−1−54-4-44−1+5−1−5−1+5−1−51−51+5−1+5−1−51−51+51−5−1+51+5−1−51−51+50000000000000000−1+5−1−51−51+51−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000
χ1034-4-444-2−1−5−1+522-44-4-21+51−51+51−5−1−5−1+5-222-2−1−5−1+51+521−521+51−5−1−5−1+5−1−52−1+52−1−521+52−1+521−521+51−500000000−2i32i32i3−2i300001+521−52−1−52−1+52−1−521+52−1+521−520000000000000000ζ14+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−ζ5800000000000000000000000000000000
χ1044-4-444-2−1−5−1+522-44-4-21+51−51+51−5−1−5−1+5-222-2−1−5−1+51+521−521+51−5−1−5−1+5−1−52−1+52−1−521+52−1+521−521+51−5000000002i3−2i3−2i32i300001+521−52−1−52−1+52−1−521+52−1+521−520000000000000000−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+ζ5800000000000000000000000000000000
χ1054-4-444-2−1+5−1−522-44-4-21−51+51−51+5−1+5−1−5-222-2−1+5−1−51−521+521−51+5−1+5−1−5−1+52−1−52−1+521−52−1−521+521−51+500000000−2i32i32i3−2i300001−521+52−1+52−1−52−1+521−52−1−521+520000000000000000ζ2−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−ζ4600000000000000000000000000000000
χ1064-4-444-2−1+5−1−522-44-4-21−51+51−51+5−1+5−1−5-222-2−1+5−1−51−521+521−51+5−1+5−1−5−1+52−1−52−1+521−52−1−521+521−51+5000000002i3−2i3−2i32i300001−521+52−1+52−1−52−1+521−52−1−521+520000000000000000−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+ζ4600000000000000000000000000000000
χ1074-4-44-24−1−5−1+5-4-42-2241+51−51+51−5−1−5−1+5-222-21+521−52−1−5−1+5−1−52−1+521+521−521+51−51+5−1−51−5−1+5−1−52−1+5200000000000023−23−23231+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−ζ47000000000000000000000000
χ1084-4-44-24−1−5−1+5-4-42-2241+51−51+51−5−1−5−1+5-222-21+521−52−1−5−1+5−1−52−1+521+521−521+51−51+5−1−51−5−1+5−1−52−1+52000000000000−232323−231+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+ζ47000000000000000000000000
χ1094-4-44-24−1+5−1−5-4-42-2241−51+51−51+5−1+5−1−5-222-21−521+52−1+5−1−5−1+52−1−521−521+521−51+51−5−1+51+5−1−5−1+52−1−5200000000000023−23−23231−521+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−ζ59000000000000000000000000
χ1104-4-44-24−1+5−1−5-4-42-2241−51+51−51+5−1+5−1−5-222-21−521+52−1+5−1−5−1+52−1−521−521+521−51+51−5−1+51+5−1−5−1+52−1−52000000000000−232323−231−521+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+ζ59000000000000000000000000
χ1114-4-44-2-244222-22-2-4-4-4-4441-1-11-2-2-2-222-2-2222-22-2224-4-4400000000000011-1-1-11-11-222-2-222-2000000000000000000000000001-1-11000000000000000000
χ1124-4-44-2-244222-22-2-4-4-4-4441-1-11-2-2-2-222-2-2222-22-222-444-400000000000011-1-1-11-112-2-222-2-2200000000000000000000000000-111-1000000000000000000
χ1138888-4-4−2−25−2+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+51−50000000000000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000000000
χ1148888-4-4−2+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+50000000000000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4−2−25−2+254-4-44442+252−25−2−25−2+252+252−252-22-21+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+51+5−1−51−5−1+51+51−50000000000000000−1−52−1+521+521−52−1−521+52−1+521−5200000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4−2+25−2−254-4-44442−252+25−2+25−2−252−252+252-22-21−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−51−5−1+51+5−1−51−51+50000000000000000−1+52−1−521−521+52−1+521−52−1−521+5200000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4−2−25−2+25-4444-44−2−25−2+252+252−252+252−2522-2-21+51−51+51−51+51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+5−1−5−1+50000000000000000−1−52−1+52−1−52−1+521+521+521−521−5200000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4−2+25−2−25-4444-44−2+25−2−252−252+252−252+2522-2-21−51+51−51+51−51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−5−1+5−1−50000000000000000−1+52−1−52−1+52−1−521−521−521+521+5200000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4−2−25−2+25444-44-42+252−252+252−25−2−25−2+252-2-221+51−51+51−5−1−5−1+51+51−5−1−5−1+5−1−51+5−1+51−5−1−5−1+50000000000000000−1−52−1+521+521−521+52−1−521−52−1+5200000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4−2+25−2−25444-44-42−252+252−252+25−2+25−2−252-2-221−51+51−51+5−1+5−1−51−51+5−1+5−1−5−1+51−5−1−51+5−1+5−1−50000000000000000−1+52−1−521−521+521−52−1+521+52−1−5200000000000000000000000000000000000000000000000000000000

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