Finite Group Databasebeta

← Group #13085903

Character table — Group #13085903

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222444444444444444444446666888888881010121212121212121212121212121212121212121212121212121212121818202020202020202030303030363636364545454560606060
order122233556666661010101010103666151515153030303030303030303030304444151530303030303044121212122020202020202020606060606060606060606060606060604412121212121212122244202020204444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111-1-111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111-1-1111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
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
χ91-1-111111-111-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1i−i1-11111-1-1-1-1i−ii−i1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1i−ii−ii−iii−i−i1-1i−iii−i−i11-1-11-1i−i
χ101-1-111111-111-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1i−i1-11111-1-1-1-1−iii−i1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1i−i−ii−ii−i−iii-11−iiii−i−i-1-111-11−ii
χ111-1-111111-111-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1i−i-111111-1-1-1-1i−ii−i-11-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111−iii−ii−iii−i−i1-1−ii−i−iii-1-1111-1−ii
χ121-1-111111-111-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1i−i-111111-1-1-1-1−iii−i-11-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111−ii−ii−ii−i−iii-11i−i−i−iii11-1-1-11i−i
χ131-1-111111-111-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−ii1-11111-1-1-1-1i−i−ii1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−iii−ii−iii−i−i-11i−i−i−iii-1-111-11i−i
χ141-1-111111-111-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−ii1-11111-1-1-1-1−ii−ii1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−ii−ii−ii−i−iii1-1−ii−i−iii11-1-11-1−ii
χ151-1-111111-111-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−ii-111111-1-1-1-1i−i−ii-11-1-111−i−iii−i−i−i−iiiii-1-1-1-11111i−ii−ii−iii−i−i-11−iiii−i−i11-1-1-11−ii
χ161-1-111111-111-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1−ii-111111-1-1-1-1−ii−ii-11-1-111−i−iii−i−i−i−iiiii-1-1-1-11111i−i−ii−ii−i−iii1-1i−iii−i−i-1-1111-1i−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+520022-2-21+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+521−521−52-2-20000000000001+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+5200-2-222−1−52−1+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+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+52−1−52−1−520022-2-21−521+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+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+52−1−52−1−5200-2-222−1+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+52−1−52−1−52-2-20000000000001−521+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
χ2522222-1222-12-1-12222222-1-1-1-12-12-1-1-122-122-122-1-12200-1-1-1-1-1-1-1-122-1-10000002222-1-1-1-1-1-1-1-10000000000-1-122-1-1-1-1220000000000-1-100
χ2622222-1222-12-1-12222222-1-1-1-12-12-1-1-122-122-122-1-12200-1-1-1-1-1-1-1-1-2-2-1-10000002222-1-1-1-1-1-1-1-1000000000011-2-21111-2-200000000001100
χ2722222-1222-12-1-12222222-1-1-1-12-12-1-1-122-122-122-1-1-2-200-1-1-1-1-1-1-1-12211000000-2-2-2-2111111110000000000-1-122-1-1-1-1-2-200000000001100
χ2822222-1222-12-1-12222222-1-1-1-12-12-1-1-122-122-122-1-1-2-200-1-1-1-1-1-1-1-1-2-211000000-2-2-2-211111111000000000011-2-21111220000000000-1-100
χ292222-1222-12-122-1222222-1-1-1-1-12-1222-1-12-1-12-1-1220022-1-1-1-1-1-1-1-12200-1-12222000000000000-1-1-1-1-1-1-1-10022-1-1-1-1-1-100220000000000-1-1
χ302222-1222-12-122-1222222-1-1-1-1-12-1222-1-12-1-12-1-1220022-1-1-1-1-1-1-1-1-2-200-1-12222000000000000-1-1-1-1-1-1-1-100-2-211111100-2-2000000000011
χ312222-1222-12-122-1222222-1-1-1-1-12-1222-1-12-1-12-1-12200-2-2-1-1-1-1-1-1-1-1220011-2-2-2-2000000000000111111110022-1-1-1-1-1-100-2-2000000000011
χ322222-1222-12-122-1222222-1-1-1-1-12-1222-1-12-1-12-1-12200-2-2-1-1-1-1-1-1-1-1-2-20011-2-2-2-20000000000001111111100-2-211111100220000000000-1-1
χ3322-2-222222-2-22-2-2-2-2-2-2222-22-22222-2-22-2-22-2-2-2-222000022-2-22-22-20000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ3422-2-222222-2-22-2-2-2-2-2-2222-22-22222-2-22-2-22-2-2-2-222000022-2-22-22-2000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ352-22-22222-2-2-2-22222-2-2-2-22-2-222222-2-2-222-222-2-2-2-2000022-2-2-22-220000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ362-22-22222-2-2-2-22222-2-2-2-22-2-222222-2-2-222-222-2-2-2-2000022-2-2-22-22000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ372-2-2222−1−52−1+52-222-2-2-21+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−2i2-2−1−52−1+52−1−52−1+521+521+521−521−52002i−2i2-2−1−52−1+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+521−521−522i−2i000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000
χ382-2-2222−1−52−1+52-222-2-2-21+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-22−1−52−1+52−1−52−1+521+521+521−521−52002i−2i-221+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+52−2i2i000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000000
χ392-2-2222−1−52−1+52-222-2-2-21+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+521−52−2i2i2-2−1−52−1+52−1−52−1+521+521+521−521−5200−2i2i2-2−1−52−1+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+521−521−52−2i2i000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000000
χ402-2-2222−1−52−1+52-222-2-2-21+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-22−1−52−1+52−1−52−1+521+521+521−521−5200−2i2i-221+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+522i−2i000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000
χ412-2-2222−1+52−1−52-222-2-2-21−521+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−2i2-2−1+52−1−52−1+52−1−521−521−521+521+52002i−2i2-2−1+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+522i−2i000000000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900000000
χ422-2-2222−1+52−1−52-222-2-2-21−521+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-22−1+52−1−52−1+52−1−521−521−521+521+52002i−2i-221−521+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+52−1−52−1−52−2i2i000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000000
χ432-2-2222−1+52−1−52-222-2-2-21−521+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+52−2i2i2-2−1+52−1−52−1+52−1−521−521−521+521+5200−2i2i2-2−1+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+52−2i2i000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000000
χ442-2-2222−1+52−1−52-222-2-2-21−521+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-22−1+52−1−52−1+52−1−521−521−521+521+5200−2i2i-221−521+52−1+52−1−52ζ7+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−ζ591−521−521+521+52−1+52−1+52−1−52−1−522i−2i000000000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900000000
χ452-2-222-122-2-1211-2-2-222-2-2-1-1112-12-1-1-1-2-21-2-2122112i−2i00-1-1-1-111112i−2i−ii0000002i2i−2i−2i−i−i−i−iiiii0000000000−ii2i−2i−i−iii2-20000000000-1100
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χ974-4-44-24−1+5−1−524-2-4-421−51+5−1+5−1−51−51+5-2-2221−52−1+51+52−1−5−1+5−1−5−1+52−1+521−5−1−52−1−521+51−521+521−51+5004-41−521+521−521+52−1+52−1+52−1−52−1−520000-22−1+5−1−51−51+50000000000001−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000
χ984-4-44-24−1+5−1−524-2-4-421−51+5−1+5−1−51−51+5-2-2221−52−1+51+52−1−5−1+5−1−5−1+52−1+521−5−1−52−1−521+51−521+521−51+500-441−521+521−521+52−1+52−1+52−1−52−1−5200002-21−51+5−1+5−1−5000000000000−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000
χ994-4-44-2-2442-2-2222-4-444-4-411-1-1-2-2-2-2-2-2222222-2-22200001111-1-1-1-14i−4i000000000000000000000000000000−2i2i−2i2iii−i−i0000000000000000
χ1004-4-44-2-2442-2-2222-4-444-4-411-1-1-2-2-2-2-2-2222222-2-22200001111-1-1-1-1−4i4i0000000000000000000000000000002i−2i2i−2i−i−iii0000000000000000
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+25-444-4442+252−252+252−25−2−25−2+252-22-21+51+51−51−5−1−5−1+51+5−1−5−1−51−5−1+5−1+5−1−5−1+51+51−50000−1−52−1+521+521−52−1−521+52−1+521−5200000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4−2+25−2−25-444-4442−252+252−252+25−2+25−2−252-22-21−51−51+51+5−1+5−1−51−5−1+5−1+51+5−1−5−1−5−1+5−1−51−51+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+5−1−51+51+5−1+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+51−51−5−1−51+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+254-4-44442+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+50000−1−52−1+52−1−52−1+521+521+521−521−5200000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4−2+25−2−254-4-44442−252+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+5−1−50000−1+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.