Finite Group Databasebeta

← Group #13085937

Character table — Group #13085937

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222233334444444444444444444466666666666666666666668888888810101010101012121212121212121212121212121212121218181818181818181818202020202020303030303030303060609090
order122233556666661010101010104444366615151515303030303030303030303030221010101010101010121212122020202020202020151530303030303044121212126630303030303030306060606060606060442020202020202020121212121212444412121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ711111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1
χ91-11-111111-1-1-11-111-1-1-1-1ii−i−i11-1-1111111-1-111-1-1-1-1-1-11-11111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−ii−iiiii−i−i−i−ii−iii−i−i1-1i−i11-1-1i−i1-1
χ101-11-111111-1-1-11-111-1-1-1-1ii−i−i11-1-1111111-1-111-1-1-1-1-1-11-11111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1−ii−i−iii1-11111-1-1-1-1iiii−i−i−i−ii−iiiii−i−i−i−i−ii−i−iii-11−ii-1-111−ii-11
χ111-11-111111-1-1-11-111-1-1-1-1ii−i−i11-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-11111ii−i−iiiii−i−i−i−i1111-1-1-1-1i−iii−i−i-11-1-1-1-11111iiii−i−i−i−i−ii−i−i−i−iiiiii−iii−i−i1-1−ii11-1-1−ii-11
χ121-11-111111-1-1-11-111-1-1-1-1ii−i−i11-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-11111ii−i−iiiii−i−i−i−i1111-1-1-1-1−ii−i−iii-11-1-1-1-11111iiii−i−i−i−i−ii−i−i−i−iiiii−ii−i−iii-11i−i-1-111i−i1-1
χ131-11-111111-1-1-11-111-1-1-1-1−i−iii11-1-1111111-1-111-1-1-1-1-1-11-11111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1i−iii−i−i1-11111-1-1-1-1−i−i−i−iiiii−ii−i−i−i−iiiiii−iii−i−i-11i−i-1-111i−i-11
χ141-11-111111-1-1-11-111-1-1-1-1−i−iii11-1-1111111-1-111-1-1-1-1-1-11-11111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−ii−i−iii1-11111-1-1-1-1−i−i−i−iiiii−ii−i−i−i−iiiii−ii−i−iii1-1−ii11-1-1−ii1-1
χ151-11-111111-1-1-11-111-1-1-1-1−i−iii11-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-11111−i−iii−i−i−i−iiiii1111-1-1-1-1i−iii−i−i-11-1-1-1-11111−i−i−i−iiiiii−iiiii−i−i−i−ii−iii−i−i-11−ii-1-111−ii1-1
χ161-11-111111-1-1-11-111-1-1-1-1−i−iii11-1-1111111-1-111-1-1-1-1-1-1-11-1-1-1-11111−i−iii−i−i−i−iiiii1111-1-1-1-1−ii−i−iii-11-1-1-1-11111−i−i−i−iiiiii−iiiii−i−i−i−i−ii−i−iii1-1i−i11-1-1i−i-11
χ17222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+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+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ18222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−522222−1−52−1−52−1+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+52000000-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000000000000000
χ19222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+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+521+521+521−521−521+521+521−521−52-2-21+521+521−521−521+521+521−521−52000000000000000000
χ20222222−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+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+521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ21222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−5200000022−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ22222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521−521+521+521−521−521+521+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+52−1−52−1−52000000-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000000000
χ23222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52-2-21−521−521+521+521−521−521+521+52000000000000000000
χ24222222−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+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+52−1−52-2-21−521−521+521+521−521−521+521+52-2-2-2-21−521−521+521+521−521−521+521+52−1+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+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ2522222-122-122-12-12222220000-1-1-1-122-1-12222-1-1-1-1-1-1222222222222000000000000-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1-1-100220000-1-100
χ2622222-122-122-12-12222220000-1-1-1-122-1-12222-1-1-1-1-1-1222222222222000000000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-100000000000000000011111100-2-200001100
χ2722222-122-122-12-12222220000-1-1-1-122-1-12222-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-12222221111111111000000000000000000-1-1-1-1-1-100-2-200001100
χ2822222-122-122-12-12222220000-1-1-1-122-1-12222-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111100000000000000000011111100220000-1-100
χ292222-12222-1-12-122222222222-1-1-1-1-1-122-1-1-1-1222222-1-10000000000-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-10000000000-1-1-1-1-1-1-1-1000000000022-1-1-1-12200-1-1-1-10000
χ302222-12222-1-12-122222222222-1-1-1-1-1-122-1-1-1-1222222-1-10000000000-1-1-1-122222222-1-1-1-1-1-1-1-1-2-211110000000000-1-1-1-1-1-1-1-10000000000-2-21111-2-20011110000
χ312222-12222-1-12-12222222-2-2-2-2-1-1-1-1-1-122-1-1-1-1222222-1-100000000001111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1000000000011111111000000000022-1-1-1-1-2-20011110000
χ322222-12222-1-12-12222222-2-2-2-2-1-1-1-1-1-122-1-1-1-1222222-1-100000000001111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-211110000000000111111110000000000-2-211112200-1-1-1-10000
χ3322-2-22222-2-222-2-2-2-222-2-22i−2i2i−2i2-2-222222-2-222-2-22-22-2-2-200000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i22-2-22-22-200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ3422-2-22222-2-222-2-2-2-222-2-2−2i2i−2i2i2-2-222222-2-222-2-22-22-2-2-20000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i22-2-22-22-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ3522-2-222−1−52−1+52-2-222-2-21+521−52−1−52−1+521+521−522i−2i2i−2i2-2-22−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−521+52−1+521−521+521−5200−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ582i−2i2i−2i−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−52−1−521+52−1+521−5200000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000
χ3622-2-222−1−52−1+52-2-222-2-21+521−52−1−52−1+521+521−522i−2i2i−2i2-2-22−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−521+52−1+521−521+521−5200ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ582i−2i2i−2i−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1+521+521−52−1−521+52−1+521−5200000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000
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χ9244-4-4-24−1−5−1+5-42-242-41+51−5−1−5−1+51+51−54i−4i4i−4i-222-21+521−52−1−5−1+5−1−52−1+521+521−521+51−5−1−51+5−1+51−5−1−52−1+520000000000−2i2i−2i2i−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1+521+52−1−521−52−1+520000000000000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ470000000000000000000000000000
χ9344-4-4-24−1−5−1+5-42-242-41+51−5−1−5−1+51+51−5−4i4i−4i4i-222-21+521−52−1−5−1+5−1−52−1+521+521−521+51−5−1−51+5−1+51−5−1−52−1+5200000000002i−2i2i−2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1+521+52−1−521−52−1+520000000000000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ470000000000000000000000000000
χ9444-4-4-24−1+5−1−5-42-242-41−51+5−1+5−1−51−51+54i−4i4i−4i-222-21−521+52−1+5−1−5−1+52−1−521−521+521−51+5−1+51−5−1−51+5−1+52−1−520000000000−2i2i−2i2i−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1−521−52−1+521+52−1−520000000000000000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ590000000000000000000000000000
χ9544-4-4-24−1+5−1−5-42-242-41−51+5−1+5−1−51−51+5−4i4i−4i4i-222-21−521+52−1+5−1−5−1+52−1−521−521+521−51+5−1+51−5−1−51+5−1+52−1−5200000000002i−2i2i−2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1−521−52−1+521+52−1−520000000000000000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ590000000000000000000000000000
χ9644-4-4-2-24422-2-222-4-444-4-400001-1-11-2-2-2-222-2-222-22-2222000000000000000000000011-1-11-11-100−2i32i3−2i32i3000000000000000000000000000000i3−i3i3−i3000000000000
χ9744-4-4-2-24422-2-222-4-444-4-400001-1-11-2-2-2-222-2-222-22-2222000000000000000000000011-1-11-11-1002i3−2i32i3−2i3000000000000000000000000000000−i3i3−i3i3000000000000
χ984-44-44-2−1−5−1+5-2-4-4242−1−5−1+51+51−51+51−50000-2-222−1−5−1+51+521−52−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+521+51−54-4−1−5−1−5−1+5−1+51+51+51−51−50000000000001+521−521+521−52−1−52−1−52−1+52−1+52000000-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000000000000
χ994-44-44-2−1−5−1+5-2-4-4242−1−5−1+51+51−51+51−50000-2-222−1−5−1+51+521−52−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+521+51−5-441+51+51−51−5−1−5−1−5−1+5−1+50000000000001+521−521+521−52−1−52−1−52−1+52−1+520000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000000000000
χ1004-44-44-2−1+5−1−5-2-4-4242−1+5−1−51−51+51−51+50000-2-222−1+5−1−51−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−521−51+54-4−1+5−1+5−1−5−1−51−51−51+51+50000000000001−521+521−521+52−1+52−1+52−1−52−1−52000000-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000000000000
χ1014-44-44-2−1+5−1−5-2-4-4242−1+5−1−51−51+51−51+50000-2-222−1+5−1−51−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−521−51+5-441−51−51+51+5−1+5−1+5−1−5−1−50000000000001−521+521−521+52−1+52−1+52−1−52−1−520000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000000000000
χ1024-44-4-24−1−5−1+5422-4-2-4−1−5−1+51+51−51+51−54i4i−4i−4i-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+520000000000−2i−2i2i2i−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−521+521−52−1−52−1−52−1+52−1+520000000000000000ζ11+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−ζ470000000000000000000000000000
χ1034-44-4-24−1−5−1+5422-4-2-4−1−5−1+51+51−51+51−5−4i−4i4i4i-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+5200000000002i2i−2i−2i2ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521−521+521−52−1−52−1−52−1+52−1+520000000000000000−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+ζ470000000000000000000000000000
χ1044-44-4-24−1+5−1−5422-4-2-4−1+5−1−51−51+51−51+54i4i−4i−4i-2-2221−521+52−1+5−1−51−521+52−1+52−1−52−1+5−1−51−51−51+51+5−1+52−1−520000000000−2i−2i2i2i−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ591−521+521−521+52−1+52−1+52−1−52−1−520000000000000000ζ7+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−ζ590000000000000000000000000000
χ1054-44-4-24−1+5−1−5422-4-2-4−1+5−1−51−51+51−51+5−4i−4i4i4i-2-2221−521+52−1+5−1−51−521+52−1+52−1−52−1+5−1−51−51−51+51+5−1+52−1−5200000000002i2i−2i−2i2ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521+521−521+52−1+52−1+52−1−52−1−520000000000000000−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+ζ590000000000000000000000000000
χ1064-44-4-2-244-2222-2244-4-4-4-4000011-1-1-2-2-2-2-2-222-2-222222200000000000000000000001111-1-1-1-14i−4i−2i−2i2i2i0000000000000000000000000000−2i2iii−i−i000000000000
χ1074-44-4-2-244-2222-2244-4-4-4-4000011-1-1-2-2-2-2-2-222-2-222222200000000000000000000001111-1-1-1-1−4i4i2i2i−2i−2i00000000000000000000000000002i−2i−i−iii000000000000
χ1084-4-444-24424-42-4-2-4-4-4-4440000-22-2244-2-2-4-4-4-4222-22-2440000000000000000000000-2-2222-22-20000000000000000000000000000000000000000000000000000
χ1094-4-444-2−1−5−1+524-42-4-21+51−51+51−5−1−5−1+50000-22-22−1−5−1+51+521−521+51−51+51−5−1−52−1+52−1−521+52−1+521−52−1−5−1+500−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ580000000000001+521−52−1−52−1+52−1−521+52−1+521−5200000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000000000000000000000000
χ1104-4-444-2−1−5−1+524-42-4-21+51−51+51−5−1−5−1+50000-22-22−1−5−1+51+521−521+51−51+51−5−1−52−1+52−1−521+52−1+521−52−1−5−1+5002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ580000000000001+521−52−1−52−1+52−1−521+52−1+521−5200000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000000000000000000000000
χ1114-4-444-2−1+5−1−524-42-4-21−51+51−51+5−1+5−1−50000-22-22−1+5−1−51−521+521−51+51−51+5−1+52−1−52−1+521−52−1−521+52−1+5−1−5002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ460000000000001−521+52−1+52−1−52−1+521−52−1−521+5200000000−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+ζ46000000000000000000000000000000000000
χ1124-4-444-2−1+5−1−524-42-4-21−51+51−51+5−1+5−1−50000-22-22−1+5−1−51−521+521−51+51−51+5−1+52−1−52−1+521−52−1−521+52−1+5−1−500−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ460000000000001−521+52−1+52−1−52−1+521−52−1−521+5200000000ζ2+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−ζ46000000000000000000000000000000000000
χ1134-4-44-24−1−5−1+5-4-22-4241+51−51+51−5−1−5−1+54-4-44-22-221+521−52−1−5−1+5−1−52−1+52−1−52−1+521+51−51+5−1−51−5−1+51+521−520000000000-222-2−1−51+5−1+51−51+5−1−51−5−1+51+521−52−1−52−1+52−1−521+52−1+521−5200000000000000001+52−1−521−52−1+52−1−521+52−1+521−520000000000000000000000000000
χ1144-4-44-24−1−5−1+5-4-22-4241+51−51+51−5−1−5−1+5-444-4-22-221+521−52−1−5−1+5−1−52−1+52−1−52−1+521+51−51+5−1−51−5−1+51+521−5200000000002-2-221+5−1−51−5−1+5−1−51+5−1+51−51+521−52−1−52−1+52−1−521+52−1+521−520000000000000000−1−521+52−1+521−521+52−1−521−52−1+520000000000000000000000000000
χ1154-4-44-24−1+5−1−5-4-22-4241−51+51−51+5−1+5−1−54-4-44-22-221−521+52−1+5−1−5−1+52−1−52−1+52−1−521−51+51−5−1+51+5−1−51−521+520000000000-222-2−1+51−5−1−51+51−5−1+51+5−1−51−521+52−1+52−1−52−1+521−52−1−521+5200000000000000001−52−1+521+52−1−52−1+521−52−1−521+520000000000000000000000000000
χ1164-4-44-24−1+5−1−5-4-22-4241−51+51−51+5−1+5−1−5-444-4-22-221−521+52−1+5−1−5−1+52−1−52−1+52−1−521−51+51−5−1+51+5−1−51−521+5200000000002-2-221−5−1+51+5−1−5−1+51−5−1−51+51−521+52−1+52−1−52−1+521−52−1−521+520000000000000000−1+521−52−1−521+521−52−1+521+52−1−520000000000000000000000000000
χ1174-4-44-2-2442-2222-2-4-4-4-44400001-11-1-2-2-2-22222222-22-2-2-2000000000000000000000011-1-1-11-110023−23−2323000000000000000000000000000000−333−3000000000000
χ1184-4-44-2-2442-2222-2-4-4-4-44400001-11-1-2-2-2-22222222-22-2-2-2000000000000000000000011-1-1-11-1100−232323−230000000000000000000000000000003−3−33000000000000
χ1198888-4-4−2−25−2+25-4-4-4-4-4-4−2−25−2+25−2−25−2+25−2−25−2+25000022221+51−51+51−51+51−51+51−51+51−51+51+51−51−51+51−50000000000000000000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000
χ1208888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2−25−2+25−2−25−2+25−2−25000022221−51+51−51+51−51+51−51+51−51+51−51−51+51+51−51+50000000000000000000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4−2−25−2+2544-4-4442+252−25−2−25−2+252+252−2500002-2-221+51−51+51−5−1−5−1+51+51−5−1−5−1+51+5−1−51−5−1+5−1−5−1+50000000000000000000000−1−52−1+521+521−52−1−521+52−1+521−520000000000000000000000000000000000000000000000000000
χ12288-8-8-4-4−2+25−2−2544-4-4442−252+25−2+25−2−252−252+2500002-2-221−51+51−51+5−1+5−1−51−51+5−1+5−1−51−5−1+51+5−1−5−1+5−1−50000000000000000000000−1+52−1−521−521+52−1+521−52−1−521+520000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4−2−25−2+25-4444-44−2−25−2+252+252−252+252−25000022-2-21+51−51+51−51+51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+5−1−5−1+50000000000000000000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000
χ1248-88-8-4-4−2+25−2−25-4444-44−2+25−2−252−252+252−252+25000022-2-21−51+51−51+51−51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−5−1+5−1−50000000000000000000000−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4−2−25−2+254-4444-42+252−252+252−25−2−25−2+2500002-22-21+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51−50000000000000000000000−1−52−1+521+521−521+52−1−521−52−1+520000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4−2+25−2−254-4444-42−252+252−252+25−2+25−2−2500002-22-21−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51+50000000000000000000000−1+52−1−521−521+521−52−1+521+52−1−520000000000000000000000000000000000000000000000000000

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