Finite Group Databasebeta

← Group #13085886

Character table — Group #13085886

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222444444444444444444446666888888881010121212121212121212121212121212121212121212121212121212121818202020202020202030303030363636364545454560606060
order122233556666661010101010103666151515153030303030303030303030304444151530303030303022121212122020202020202020606060606060606060606060606060604466666666444420202020444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111-1-111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ91-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−ii−i1111-1-1-1-11-1i−ii−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-111-1-111-1-1i−ii−i11-1-111-1-1i−ii−i
χ101-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−ii−i1111-1-1-1-1-11i−ii−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-1-1-111-1-111−ii−ii11-1-1-1-111−ii−ii
χ111-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−i−ii1111-1-1-1-11-1i−i−iiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1111-1-111-1-1i−i−ii-1-111-1-111i−i−ii
χ121-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−i−ii1111-1-1-1-1-11i−i−iiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-11-1-111-1-111−iii−i-1-11111-1-1−iii−i
χ131-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−iii−i1111-1-1-1-11-1−iii−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1111-1-111-1-1−iii−i-1-111-1-111−iii−i
χ141-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−iii−i1111-1-1-1-1-11−iii−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-1-111-1-111i−i−ii-1-11111-1-1i−i−ii
χ151-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−ii−ii1111-1-1-1-11-1−ii−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-111-1-111-1-1−ii−ii11-1-111-1-1−ii−ii
χ161-1-11111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−ii−ii1111-1-1-1-1-11−ii−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-1-1-111-1-111i−ii−i11-1-1-1-111i−ii−i
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+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002222−1−52−1+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+5222000000000000−1−52−1+52−1−52−1+5200000000
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+5222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520022-2-2−1−52−1+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+521−521−52-2-20000000000001+521−521+521−5200000000
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+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2221+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+52-2-20000000000001+521−521+521−5200000000
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+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5222000000000000−1−52−1+52−1−52−1+5200000000
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+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002222−1+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+52−1−52−1−5222000000000000−1+52−1−52−1+52−1−5200000000
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+52−1−52−1−5222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520022-2-2−1+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+52-2-20000000000001−521+521−521+5200000000
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+52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2221−521+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+52−1−52−1−52-2-20000000000001−521+521−521+5200000000
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+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5222000000000000−1+52−1−52−1+52−1−5200000000
χ2522222-1222-12-12-1222222-1-1-1-12-12-12-12-12-12-12-12-10022-1-1-1-1-1-1-1-12200-1-10000222200000000-1-1-1-1-1-1-1-1002-12-1-1-1-1-100220000000000-1-1
χ2622222-1222-12-12-1222222-1-1-1-12-12-12-12-12-12-12-12-10022-1-1-1-1-1-1-1-1-2-200-1-10000222200000000-1-1-1-1-1-1-1-100-21-21111100-2-2000000000011
χ2722222-1222-12-12-1222222-1-1-1-12-12-12-12-12-12-12-12-100-2-2-1-1-1-1-1-1-1-12200110000-2-2-2-20000000011111111002-12-1-1-1-1-100-2-2000000000011
χ2822222-1222-12-12-1222222-1-1-1-12-12-12-12-12-12-12-12-100-2-2-1-1-1-1-1-1-1-1-2-200110000-2-2-2-2000000001111111100-21-21111100220000000000-1-1
χ292222-1222-12-12-12222222-1-1-1-1-12-12-12-12-12-12-12-122200-1-1-1-1-1-1-1-122-1-10022220000-1-1-1-1-1-1-1-10000000000-12-12-1-1-1-1220000000000-1-100
χ302222-1222-12-12-12222222-1-1-1-1-12-12-12-12-12-12-12-122200-1-1-1-1-1-1-1-1-2-2-1-10022220000-1-1-1-1-1-1-1-100000000001-21-21111-2-200000000001100
χ312222-1222-12-12-12222222-1-1-1-1-12-12-12-12-12-12-12-12-2-200-1-1-1-1-1-1-1-1221100-2-2-2-20000111111110000000000-12-12-1-1-1-1-2-200000000001100
χ322222-1222-12-12-12222222-1-1-1-1-12-12-12-12-12-12-12-12-2-200-1-1-1-1-1-1-1-1-2-21100-2-2-2-200001111111100000000001-21-21111220000000000-1-100
χ3322-2-22222-2-222-2-2-2-222-2-22-22-22222-2-2-2-2-2-2-2-22222000022-2-22-22-20000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ3422-2-22222-2-222-2-2-2-222-2-22-22-22222-2-2-2-2-2-2-2-22222000022-2-22-22-2000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ352-22-22222-2-2-2-22222-2-2-2-22-2-222222-2-2-2-22222-2-2-2-2000022-2-2-22-220000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ362-22-22222-2-2-2-22222-2-2-2-22-2-222222-2-2-2-22222-2-2-2-2000022-2-2-22-22000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ372-2-2222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+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−2i−1−52−1+52−1−52−1+521+521+521−521−52002i−2i2i−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+ζ472-2000000000000−1−52−1+521+521−5200000000
χ382-2-2222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+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−1−52−1+52−1−52−1+521+521+521−521−52002i−2i−2i2i−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−ζ47-220000000000001+521−52−1−52−1+5200000000
χ392-2-2222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−2i2i2i−2i−1−52−1+52−1−52−1+521+521+521−521−5200−2i2i2i−2iζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+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−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+ζ47-220000000000001+521−52−1−52−1+5200000000
χ402-2-2222−1−52−1+5222-2-2-2-21+521−521+521−52−1−52−1+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−1−52−1+52−1−52−1+521+521+521−521−5200−2i2i−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−ζ472-2000000000000−1−52−1+521+521−5200000000
χ412-2-2222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522i−2i2i−2i−1+52−1−52−1+52−1−521−521−521+521+52002i−2i2i−2i−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−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−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+ζ592-2000000000000−1+52−1−521−521+5200000000
χ422-2-2222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+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−1+52−1−52−1+52−1−521−521−521+521+52002i−2i−2i2i−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−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+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−ζ59-220000000000001−521+52−1+52−1−5200000000
χ432-2-2222−1+52−1−5222-2-2-2-21−521+521−521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−2i2i2i−2i−1+52−1−52−1+52−1−521−521−521+521+5200−2i2i2i−2iζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+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−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+ζ59-220000000000001−521+52−1+52−1−5200000000
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χ914-4-444-2−1−5−1+54-2-42-421+51−51+51−5−1−5−1+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+52004i−4i1+521−521+521−52−1−52−1−52−1+52−1+520000−2i2i0000−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+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
χ924-4-444-2−1−5−1+54-2-42-421+51−51+51−5−1−5−1+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+5200−4i4i1+521−521+521−52−1−52−1−52−1+52−1+5200002i−2i00002ζ11+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
χ934-4-444-2−1+5−1−54-2-42-421−51+51−51+5−1+5−1−5-2-222−1+51−52−1−51+52−1+51−52−1−51+521−5−1+521+5−1−521−5−1+521+5−1−52004i−4i1−521+521−521+52−1+52−1+52−1−52−1−520000−2i2i0000−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+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
χ944-4-444-2−1+5−1−54-2-42-421−51+51−51+5−1+5−1−5-2-222−1+51−52−1−51+52−1+51−52−1−51+521−5−1+521+5−1−521−5−1+521+5−1−5200−4i4i1−521+521−521+52−1+52−1+52−1−52−1−5200002i−2i00002ζ7+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
χ954-4-44-24−1−5−1+5-242-42-41+51−51+51−5−1−5−1+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+521−54i−4i001+521−521+521−52−1−52−1−52−1+52−1+5200−2i2i00−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ11+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
χ964-4-44-24−1−5−1+5-242-42-41+51−51+51−5−1−5−1+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+521−5−4i4i001+521−521+521−52−1−52−1−52−1+52−1+52002i−2i002ζ11+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
χ974-4-44-24−1+5−1−5-242-42-41−51+51−51+5−1+5−1−5-2-2221−52−1+51+52−1−51−52−1+51+52−1−5−1+521−5−1−521+5−1+521−5−1−521+54i−4i001−521+521−521+52−1+52−1+52−1−52−1−5200−2i2i00−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ7+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
χ984-4-44-24−1+5−1−5-242-42-41−51+51−51+5−1+5−1−5-2-2221−52−1+51+52−1−51−52−1+51+52−1−5−1+521−5−1−521+5−1+521−5−1−521+5−4i4i001−521+521−521+52−1+52−1+52−1−52−1−52002i−2i002ζ7+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
χ994-4-44-2-244-2-22222-4-4-4-44411-1-1-2-2-2-2-2-2-2-22222222200001111-1-1-1-14-4000000000000000000000000000000-2-22211-1-10000000000000000
χ1004-4-44-2-244-2-22222-4-4-4-44411-1-1-2-2-2-2-2-2-2-22222222200001111-1-1-1-1-4400000000000000000000000000000022-2-2-1-1110000000000000000
χ1018888-4-4−2−25−2+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+51−51−50000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000000000
χ1028888-4-4−2+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+50000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4−2−25−2+2544-4-4442+252−25−2−25−2+252+252−252-22-21+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000−1−52−1+521+521−52−1−521+52−1+521−5200000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4−2+25−2−2544-4-4442−252+25−2+25−2−252−252+252-22-21−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000−1+52−1−521−521+52−1+521−52−1−521+5200000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4−2−25−2+254444-4-4−2−25−2+252+252−252+252−252-2-221+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−1−5−1−5−1+5−1+50000−1−52−1+521+521−521+52−1−521−52−1+5200000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4−2+25−2−254444-4-4−2+25−2−252−252+252−252+252-2-221−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−1+5−1+5−1−5−1−50000−1+52−1−521−521+521−52−1+521+52−1−5200000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4−2−25−2+25-4-444442+252−252+252−25−2−25−2+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+50000−1−52−1+52−1−52−1+521+521+521−521−5200000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4−2+25−2−25-4-444442−252+252−252+25−2+25−2−2522-2-21−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−50000−1+52−1−52−1+52−1−521−521−521+521+5200000000000000000000000000000000000000000000000000000000

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