Finite Group Databasebeta

← Group #13085911

Character table — Group #13085911

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222444444444444444444446666888888881010121212121212121212121212121212121212121212121212121212121818202020202020202030303030363636364545454560606060
order1222335566666610101010101036661515151530303030303030303030303044441515303030303030221212121220202020202020206060606060606060606060606060606044666666662244202020204444661212
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
χ911-1-111111-1-1-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11-1i−i1111-1-1-1-11-11-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−i1-11-111-1-11-1i−iii−i−iii−i−i1-1i−i
χ1011-1-111111-1-1-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11-1i−i1111-1-1-1-1-111-1i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−ii−i-11-11-1-111-11−iiii−i−i−i−iii-11−ii
χ1111-1-111111-1-1-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11-1−ii1111-1-1-1-11-11-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii1-11-111-1-11-1−ii−i−iii−i−iii1-1−ii
χ1211-1-111111-1-1-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11-1−ii1111-1-1-1-1-111-1−ii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−ii-11-11-1-111-11i−i−i−iiiii−i−i-11i−i
χ1311-1-111111-1-1-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-11i−i1111-1-1-1-11-1-11i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ii1-11-111-1-1-11i−i−i−iii−i−iii-11i−i
χ1411-1-111111-1-1-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-11i−i1111-1-1-1-1-11-11i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−ii-11-11-1-1111-1−ii−i−iiiii−i−i1-1−ii
χ1511-1-111111-1-1-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-11−ii1111-1-1-1-11-1-11−ii-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−i1-11-111-1-1-11−iiii−i−iii−i−i-11−ii
χ1611-1-111111-1-1-11-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-11−ii1111-1-1-1-1-11-11−ii-1-111−i−iii-1-1-1-11111−i−i−i−iiiiii−i-11-11-1-1111-1i−iii−i−i−i−iii1-1i−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+520022-2-2−1−52−1+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
χ2522222-1222-1-12-12222222-1-1-1-12-12-1222-1-12-1-1-1-1222200-1-1-1-1-1-1-1-122-1-10022220000-1-1-1-1-1-1-1-1000000000022-1-1-1-1-1-1220000000000-1-100
χ2622222-1222-1-12-12222222-1-1-1-12-12-1222-1-12-1-1-1-1222200-1-1-1-1-1-1-1-1-2-2-1-10022220000-1-1-1-1-1-1-1-10000000000-2-2111111-2-200000000001100
χ2722222-1222-1-12-12222222-1-1-1-12-12-1222-1-12-1-1-1-122-2-200-1-1-1-1-1-1-1-1221100-2-2-2-2000011111111000000000022-1-1-1-1-1-1-2-200000000001100
χ2822222-1222-1-12-12222222-1-1-1-12-12-1222-1-12-1-1-1-122-2-200-1-1-1-1-1-1-1-1-2-21100-2-2-2-20000111111110000000000-2-2111111220000000000-1-100
χ292222-1222-122-12-1222222-1-1-1-1-12-12-1-1-122-12222-1-10022-1-1-1-1-1-1-1-12200-1-10000222200000000-1-1-1-1-1-1-1-100-1-122-1-1-1-100220000000000-1-1
χ302222-1222-122-12-1222222-1-1-1-1-12-12-1-1-122-12222-1-10022-1-1-1-1-1-1-1-1-2-200-1-10000222200000000-1-1-1-1-1-1-1-10011-2-2111100-2-2000000000011
χ312222-1222-122-12-1222222-1-1-1-1-12-12-1-1-122-12222-1-100-2-2-1-1-1-1-1-1-1-12200110000-2-2-2-2000000001111111100-1-122-1-1-1-100-2-2000000000011
χ322222-1222-122-12-1222222-1-1-1-1-12-12-1-1-122-12222-1-100-2-2-1-1-1-1-1-1-1-1-2-200110000-2-2-2-200000000111111110011-2-2111100220000000000-1-1
χ3322-2-222−1−52−1+522-2-2-22-21+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+521−522-22i−2i−1−52−1+52−1−52−1+521+521+521−521−52002-22i−2i−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−2i000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000
χ3422-2-222−1−52−1+522-2-2-22-21+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+521−522-2−2i2i−1−52−1+52−1−52−1+521+521+521−521−52002-2−2i2i−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−ζ47−2i2i000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000000
χ3522-2-222−1−52−1+522-2-2-22-21+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+521−52-222i−2i−1−52−1+52−1−52−1+521+521+521−521−5200-222i−2i1+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+ζ47−2i2i000000000000ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ4700000000
χ3622-2-222−1−52−1+522-2-2-22-21+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+521−52-22−2i2i−1−52−1+52−1−52−1+521+521+521−521−5200-22−2i2i1+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ471+521+521−521−52−1−52−1−52−1+52−1+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−ζ472i−2i000000000000−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ4700000000
χ3722-2-222−1+52−1−522-2-2-22-21−521+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+522-22i−2i−1+52−1−52−1+52−1−521−521−521+521+52002-22i−2i−1+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−1+52−1+52−1−52−1−521−521−521+521+52−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+ζ592i−2i000000000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900000000
χ3822-2-222−1+52−1−522-2-2-22-21−521+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+522-2−2i2i−1+52−1−52−1+52−1−521−521−521+521+52002-2−2i2i−1+52−1−521−521+52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−1+52−1+52−1−52−1−521−521−521+521+52ζ7+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−ζ59−2i2i000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000000
χ3922-2-222−1+52−1−522-2-2-22-21−521+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+52-222i−2i−1+52−1−52−1+52−1−521−521−521+521+5200-222i−2i1−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ591−521−521+521+52−1+52−1+52−1−52−1−52−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+ζ59−2i2i000000000000ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ5900000000
χ4022-2-222−1+52−1−522-2-2-22-21−521+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+52-22−2i2i−1+52−1−52−1+52−1−521−521−521+521+5200-22−2i2i1−521+52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ591−521−521+521+52−1+52−1+52−1−52−1−52ζ7+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−ζ592i−2i000000000000−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ5900000000
χ4122-2-22-122211-2-1-2-2-222-2-2-1-1112-12-122-211-211-1-1-2-22-200-1-1-1-111112-2-110022-2-20000-1-1-1-1111100000000002-2-11-1-1112-20000000000-1100
χ4222-2-22-122211-2-1-2-2-222-2-2-1-1112-12-122-211-211-1-1-2-22-200-1-1-1-11111-22-110022-2-20000-1-1-1-111110000000000-221-111-1-1-2200000000001-100
χ4322-2-22-122211-2-1-2-2-222-2-2-1-1112-12-122-211-211-1-1-2-2-2200-1-1-1-111112-21-100-2-22200001111-1-1-1-100000000002-2-11-1-111-2200000000001-100
χ4422-2-22-122211-2-1-2-2-222-2-2-1-1112-12-122-211-211-1-1-2-2-2200-1-1-1-11111-221-100-2-22200001111-1-1-1-10000000000-221-111-1-12-20000000000-1100
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χ984-4-44-24−1+5−1−52-44-2-421−51+51−51+5−1+5−1−5-222-21−52−1+51+52−1−5−1+52−1−52−1+521−5−1+5−1−521+5−1−51−51+51−521+5200001−521+52−1+52−1−52−1+521−52−1−521+520000000000000000000000ζ2−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
χ994-4-44-2-24422-2-222-4-4-4-4441-1-11-2-2-2-22222-222-222-2-2000011-1-1-11-110000000000000000000000000000000000003-3-330000000000000000
χ1004-4-44-2-24422-2-222-4-4-4-4441-1-11-2-2-2-22222-222-222-2-2000011-1-1-11-11000000000000000000000000000000000000-333-30000000000000000
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+25-4444-442+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
χ10488-8-8-4-4−2+25−2−25-4444-442−252+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
χ1058-88-8-4-4−2−25−2+254-4444-4−2−25−2+252+252−252+252−252-22-21+51+51−51−5−1−5−1+51+51+5−1−51−51−5−1+5−1−5−1+5−1−5−1+50000−1−52−1+521+521−52−1−521+52−1+521−5200000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4−2+25−2−254-4444-4−2+25−2−252−252+252−252+252-22-21−51−51+51+5−1+5−1−51−51−5−1+51+51+5−1−5−1+5−1−5−1+5−1−50000−1+52−1−521−521+52−1+521−52−1−521+5200000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4−2−25−2+2544-4-4442+252−252+252−25−2−25−2+252-2-221+51+51−51−5−1−5−1+5−1−5−1−51+5−1+5−1+51−5−1−5−1+51+51−50000−1−52−1+521+521−521+52−1−521−52−1+5200000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4−2+25−2−2544-4-4442−252+252−252+25−2+25−2−252-2-221−51−51+51+5−1+5−1−5−1+5−1+51−5−1−5−1−51+5−1+5−1−51−51+50000−1+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.