Finite Group Databasebeta

← Group #13025136

Character table — Group #13025136

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222222222224444444444444444444444444444444444444444444444444444444444444444444444441010101020202020202020202020202020208080808080808080
order124424888816161616161616162458810101010101010161616162020202020202020404040404040404040404040404040408080808080808080808080808080808080808080808080808080808080808080888844448816161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ5111111111111111111-1-11-1-111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111-1-11-1-111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111111111111111-1-11-1-111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iii
χ8111111111111111111-1-11-1-111-1-1-1-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i
χ91111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ101111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i−ii−ii
χ121111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−iii−ii−i
χ131111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−i
χ161111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii
χ17222222-2-2-2-200000000222-2-22222222000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-2220000000000000000
χ18222222-2-2-2-200000000222-2-22222222000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-20000000000000000
χ19222222-2-2-2-200000000-2-222222-2-2-2-22000022-2-2-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000000000002222-2-222-2-20000000000000000
χ20222222-2-2-2-200000000-2-222222-2-2-2-22000022-2-2-2-222-2-2-2-222222222-2-2-2-200000000000000000000000000000000-2-2-2-222-2-2220000000000000000
χ212222-2-200002222−2−2−2−20022i−2i-2-200002i2i2−i2−i2220000-2-200002i2i2i2i−2i−2i−2i−2i000022222222−2−2−2−2−2−2−2−2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i222-2-2002i−2i0022−2−2i2i2−i2−i200000000
χ222222-2-200002222−2−2−2−20022i−2i-2-200002i2i2−i2−i2220000-2-200002i2i2i2i−2i−2i−2i−2i000022222222−2−2−2−2−2−2−2−2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2-2-22200−2i2i00−2−222−i2−i2i2i200000000
χ232222-2-200002222−2−2−2−2002−2i2i-2-200002−i2−i2i2i2220000-2-20000−2i−2i−2i−2i2i2i2i2i000022222222−2−2−2−2−2−2−2−2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i222-2-200−2i2i0022−2−2−i2−i2i2i200000000
χ242222-2-200002222−2−2−2−2002−2i2i-2-200002−i2−i2i2i2220000-2-20000−2i−2i−2i−2i2i2i2i2i000022222222−2−2−2−2−2−2−2−2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2-2-222002i−2i00−2−222i2i2−i2−i200000000
χ252222-2-20000−2−2−2−222220022i−2i-2-200002−i2−i2i2i2220000-2-200002i2i2i2i−2i−2i−2i−2i0000−2−2−2−2−2−2−2−222222222−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i222-2-2002i−2i00−2−222−i2−i2i2i200000000
χ262222-2-20000−2−2−2−222220022i−2i-2-200002−i2−i2i2i2220000-2-200002i2i2i2i−2i−2i−2i−2i0000−2−2−2−2−2−2−2−222222222−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2-2-22200−2i2i0022−2−2i2i2−i2−i200000000
χ272222-2-20000−2−2−2−22222002−2i2i-2-200002i2i2−i2−i2220000-2-20000−2i−2i−2i−2i2i2i2i2i0000−2−2−2−2−2−2−2−222222222i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i222-2-200−2i2i00−2−222i2i2−i2−i200000000
χ282222-2-20000−2−2−2−22222002−2i2i-2-200002i2i2−i2−i2220000-2-20000−2i−2i−2i−2i2i2i2i2i0000−2−2−2−2−2−2−2−222222222i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2-2-222002i−2i0022−2−2−i2−i2i2i200000000
χ2922-2-22-2000022−2−222−2−22-220022222222−22−2-2-2-2-2-2-2-2-200000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22i−2i2i−2i00002i−2ii2−i2i2−i2i2−i2i2−i200000000
χ3022-2-22-2000022−2−222−2−22-220022222222−22−2-2-2-2-2-2-2-2-200000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2−2i2i−2i2i0000−2i2i−i2i2−i2i2−i2i2−i2i200000000
χ3122-2-22-2000022−2−222−2−2-2220022-2-2-2-22−22−22-2-22222-2-200000000000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−222222i−2i2i−2i0000−2i2ii2−i2i2−i2−i2i2−i2i200000000
χ3222-2-22-2000022−2−222−2−2-2220022-2-2-2-22−22−22-2-22222-2-200000000000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−22222−2i2i−2i2i00002i−2i−i2i2−i2i2i2−i2i2−i200000000
χ3322-2-22-20000−2−222−2−2222-22002222222−22−22-2-2-2-2-2-2-2-20000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222222i−2i2i−2i00002i−2i−i2i2−i2i2−i2i2−i2i200000000
χ3422-2-22-20000−2−222−2−2222-22002222222−22−22-2-2-2-2-2-2-2-20000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2i2i−2i2i0000−2i2ii2−i2i2−i2i2−i2i2−i200000000
χ3522-2-22-20000−2−222−2−222-2220022-2-2-2-222−22−2-2-22222-2-20000000000000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−22i−2i2i−2i0000−2i2i−i2i2−i2i2i2−i2i2−i200000000
χ3622-2-22-20000−2−222−2−222-2220022-2-2-2-222−22−2-2-22222-2-20000000000000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−2−2i2i−2i2i00002i−2ii2−i2i2−i2−i2i2−i2i200000000
χ3722-2-2-2222-2-222-2-2-2-22200200-2-2000020000-2-2000022-2-2-2-20000000022222222-2-2-2-2-2-2-2-2222200000000000000002i−2i−2i2i2i−2i00002i−2i−2i2i000000000000
χ3822-2-2-2222-2-222-2-2-2-22200200-2-2000020000-2-2000022-2-2-2-20000000022222222-2-2-2-2-2-2-2-222220000000000000000−2i2i2i−2i−2i2i0000−2i2i2i−2i000000000000
χ3922-2-2-2222-2-2-2-22222-2-200200-2-2000020000-2-2000022-2-2-2-2000000002222-2-2-2-222222222-2-2-2-200000000000000002i−2i−2i2i2i−2i0000−2i2i2i−2i000000000000
χ4022-2-2-2222-2-2-2-22222-2-200200-2-2000020000-2-2000022-2-2-2-2000000002222-2-2-2-222222222-2-2-2-20000000000000000−2i2i2i−2i−2i2i00002i−2i−2i2i000000000000
χ4122-2-2-22-2-2220000000000200-2-2000022i−2i−2i2i-2-2000022222200000000-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i−2i−2i2i−2i2i00000000-222-200000000
χ4222-2-2-22-2-2220000000000200-2-2000022i−2i−2i2i-2-2000022222200000000-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i2i2i−2i2i−2i000000002-2-2200000000
χ4322-2-2-22-2-2220000000000200-2-200002−2i2i2i−2i-2-2000022222200000000-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2i−2i−2i2i−2i2i000000002-2-2200000000
χ4422-2-2-22-2-2220000000000200-2-200002−2i2i2i−2i-2-2000022222200000000-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i2i2i−2i2i−2i00000000-222-200000000
χ4544444444444444444444-144-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ46444444444444444444-4-4-1-4-4-1-11111-1-4-4-4-4-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000
χ474444444444-4-4-4-4-4-4-4-444-144-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111100000000000000000000000000
χ484444444444-4-4-4-4-4-4-4-4-4-4-1-4-4-1-11111-14444-1-11111-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ49444444-4-4-4-40000000044-1-4-4-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-11111111111111111i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i500000000000000000000000000
χ50444444-4-4-4-40000000044-1-4-4-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-11111111111111111−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i500000000000000000000000000
χ51444444-4-4-4-400000000-4-4-144-1-11111-10000-1-11111-1-11111-1-1-1-1-1-1-1-11111i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i500000000000000000000000000
χ52444444-4-4-4-400000000-4-4-144-1-11111-10000-1-11111-1-11111-1-1-1-1-1-1-1-11111−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i500000000000000000000000000
χ534444-4-4000022222222−22−22−22−2200-14i−4i1155−5−5-12i22i2−2i2−2i2-1-155−5−511i5i5−i5−i5−i−i−i−iiiiii5i5−i5−i5−ζ14+ζ42−ζ46+ζ58−ζ14+ζ42−ζ46+ζ58ζ26−ζ62+ζ74−ζ78ζ26−ζ62+ζ74−ζ78−ζ14+ζ42−ζ46+ζ58−ζ14+ζ42−ζ46+ζ58ζ26−ζ62+ζ74−ζ78ζ26−ζ62+ζ74−ζ78ζ14−ζ42+ζ46−ζ58ζ14−ζ42+ζ46−ζ58−ζ26+ζ62−ζ74+ζ78−ζ26+ζ62−ζ74+ζ78ζ14−ζ42+ζ46−ζ58ζ14−ζ42+ζ46−ζ58−ζ26+ζ62−ζ74+ζ78−ζ26+ζ62−ζ74+ζ78ζ14+ζ42+ζ46+ζ58ζ14+ζ42+ζ46+ζ58ζ26+ζ62+ζ74+ζ78ζ26+ζ62+ζ74+ζ78ζ14+ζ42+ζ46+ζ58ζ14+ζ42+ζ46+ζ58ζ26+ζ62+ζ74+ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58−ζ14−ζ42−ζ46−ζ58−ζ26−ζ62−ζ74−ζ78−ζ26−ζ62−ζ74−ζ78−ζ14−ζ42−ζ46−ζ58−ζ14−ζ42−ζ46−ζ58−ζ26−ζ62−ζ74−ζ78−ζ26−ζ62−ζ74−ζ7800000000000000000000000000
χ544444-4-4000022222222−22−22−22−2200-14i−4i11−5−555-12i22i2−2i2−2i2-1-1−5−55511−i5−i5i5i5−i−i−i−iiiii−i5−i5i5i5ζ26−ζ62+ζ74−ζ78ζ26−ζ62+ζ74−ζ78−ζ14+ζ42−ζ46+ζ58−ζ14+ζ42−ζ46+ζ58ζ26−ζ62+ζ74−ζ78ζ26−ζ62+ζ74−ζ78−ζ14+ζ42−ζ46+ζ58−ζ14+ζ42−ζ46+ζ58−ζ26+ζ62−ζ74+ζ78−ζ26+ζ62−ζ74+ζ78ζ14−ζ42+ζ46−ζ58ζ14−ζ42+ζ46−ζ58−ζ26+ζ62−ζ74+ζ78−ζ26+ζ62−ζ74+ζ78ζ14−ζ42+ζ46−ζ58ζ14−ζ42+ζ46−ζ58ζ26+ζ62+ζ74+ζ78ζ26+ζ62+ζ74+ζ78ζ14+ζ42+ζ46+ζ58ζ14+ζ42+ζ46+ζ58ζ26+ζ62+ζ74+ζ78ζ26+ζ62+ζ74+ζ78ζ14+ζ42+ζ46+ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78−ζ26−ζ62−ζ74−ζ78−ζ14−ζ42−ζ46−ζ58−ζ14−ζ42−ζ46−ζ58−ζ26−ζ62−ζ74−ζ78−ζ26−ζ62−ζ74−ζ78−ζ14−ζ42−ζ46−ζ58−ζ14−ζ42−ζ46−ζ5800000000000000000000000000
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χ1094-4−4i4i00−22222i2−2i2−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ7900-1005−5ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ72ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ7210000i−i−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76−i5i5ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14−ζ42+ζ46−ζ58−ζ14+ζ42−ζ46+ζ58−ζ26+ζ62−ζ74+ζ78ζ26−ζ62+ζ74−ζ78ζ27+ζ29+ζ43+ζ61−ζ27−ζ29−ζ43−ζ61ζ11+ζ13+ζ59+ζ77−ζ11−ζ13−ζ59−ζ77−ζ9−ζ41+ζ47+ζ63ζ9+ζ41−ζ47−ζ63ζ31−ζ57−ζ73+ζ79−ζ31+ζ57+ζ73−ζ79−ζ27+ζ29−ζ43+ζ61ζ27−ζ29+ζ43−ζ61−ζ11+ζ13−ζ59+ζ77ζ11−ζ13+ζ59−ζ77−ζ9−ζ41−ζ47−ζ63ζ9+ζ41+ζ47+ζ63−ζ31−ζ57−ζ73−ζ79ζ31+ζ57+ζ73+ζ79ζ27−ζ29−ζ43+ζ61−ζ27+ζ29+ζ43−ζ61ζ11+ζ13−ζ59−ζ77−ζ11−ζ13+ζ59+ζ77ζ9−ζ41+ζ47−ζ63−ζ9+ζ41−ζ47+ζ63ζ31+ζ57−ζ73−ζ79−ζ31−ζ57+ζ73+ζ79ζ27+ζ29−ζ43−ζ61−ζ27−ζ29+ζ43+ζ61ζ11−ζ13−ζ59+ζ77−ζ11+ζ13+ζ59−ζ77−ζ9+ζ41+ζ47−ζ63ζ9−ζ41−ζ47+ζ63−ζ31+ζ57−ζ73+ζ79ζ31−ζ57+ζ73−ζ7900000000000000000000000000
χ1104-4−4i4i00−22222i2−2i2−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ7900-100−55−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ72ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ7210000i−iζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76ζ12−ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76i5−i5ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ26+ζ62−ζ74+ζ78ζ26−ζ62+ζ74−ζ78ζ14−ζ42+ζ46−ζ58−ζ14+ζ42−ζ46+ζ58ζ11+ζ13+ζ59+ζ77−ζ11−ζ13−ζ59−ζ77ζ27+ζ29+ζ43+ζ61−ζ27−ζ29−ζ43−ζ61ζ31−ζ57−ζ73+ζ79−ζ31+ζ57+ζ73−ζ79−ζ9−ζ41+ζ47+ζ63ζ9+ζ41−ζ47−ζ63−ζ11+ζ13−ζ59+ζ77ζ11−ζ13+ζ59−ζ77−ζ27+ζ29−ζ43+ζ61ζ27−ζ29+ζ43−ζ61−ζ31−ζ57−ζ73−ζ79ζ31+ζ57+ζ73+ζ79−ζ9−ζ41−ζ47−ζ63ζ9+ζ41+ζ47+ζ63−ζ11−ζ13+ζ59+ζ77ζ11+ζ13−ζ59−ζ77ζ27−ζ29−ζ43+ζ61−ζ27+ζ29+ζ43−ζ61−ζ31−ζ57+ζ73+ζ79ζ31+ζ57−ζ73−ζ79ζ9−ζ41+ζ47−ζ63−ζ9+ζ41−ζ47+ζ63−ζ11+ζ13+ζ59−ζ77ζ11−ζ13−ζ59+ζ77ζ27+ζ29−ζ43−ζ61−ζ27−ζ29+ζ43+ζ61−ζ31+ζ57−ζ73+ζ79ζ31−ζ57+ζ73−ζ79ζ9−ζ41−ζ47+ζ63−ζ9+ζ41+ζ47−ζ6300000000000000000000000000
χ1114-4−4i4i00−22222i2−2i2−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ772ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ7900-100−55ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ72−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ7210000i−i−ζ12+ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76i5−i5ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78−ζ26+ζ62−ζ74+ζ78ζ26−ζ62+ζ74−ζ78ζ14−ζ42+ζ46−ζ58−ζ14+ζ42−ζ46+ζ58ζ11+ζ13+ζ59+ζ77−ζ11−ζ13−ζ59−ζ77ζ27+ζ29+ζ43+ζ61−ζ27−ζ29−ζ43−ζ61ζ31−ζ57−ζ73+ζ79−ζ31+ζ57+ζ73−ζ79−ζ9−ζ41+ζ47+ζ63ζ9+ζ41−ζ47−ζ63−ζ11+ζ13−ζ59+ζ77ζ11−ζ13+ζ59−ζ77−ζ27+ζ29−ζ43+ζ61ζ27−ζ29+ζ43−ζ61−ζ31−ζ57−ζ73−ζ79ζ31+ζ57+ζ73+ζ79−ζ9−ζ41−ζ47−ζ63ζ9+ζ41+ζ47+ζ63ζ11+ζ13−ζ59−ζ77−ζ11−ζ13+ζ59+ζ77−ζ27+ζ29+ζ43−ζ61ζ27−ζ29−ζ43+ζ61ζ31+ζ57−ζ73−ζ79−ζ31−ζ57+ζ73+ζ79−ζ9+ζ41−ζ47+ζ63ζ9−ζ41+ζ47−ζ63ζ11−ζ13−ζ59+ζ77−ζ11+ζ13+ζ59−ζ77−ζ27−ζ29+ζ43+ζ61ζ27+ζ29−ζ43−ζ61ζ31−ζ57+ζ73−ζ79−ζ31+ζ57−ζ73+ζ79−ζ9+ζ41+ζ47−ζ63ζ9−ζ41−ζ47+ζ6300000000000000000000000000
χ1124-4−4i4i00−22222i2−2i22ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ7900400000000-40000−4i4i0000002i2−2i22i2−2i200000000−2222−22222ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79000000000000000000000000000000000000000000
χ1134-4−4i4i00−22222i2−2i22ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ7900-1005−5−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ72−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ7210000i−iζ12−ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76−i5i5ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58ζ14−ζ42+ζ46−ζ58−ζ14+ζ42−ζ46+ζ58−ζ26+ζ62−ζ74+ζ78ζ26−ζ62+ζ74−ζ78−ζ27−ζ29−ζ43−ζ61ζ27+ζ29+ζ43+ζ61−ζ11−ζ13−ζ59−ζ77ζ11+ζ13+ζ59+ζ77ζ9+ζ41−ζ47−ζ63−ζ9−ζ41+ζ47+ζ63−ζ31+ζ57+ζ73−ζ79ζ31−ζ57−ζ73+ζ79ζ27−ζ29+ζ43−ζ61−ζ27+ζ29−ζ43+ζ61ζ11−ζ13+ζ59−ζ77−ζ11+ζ13−ζ59+ζ77ζ9+ζ41+ζ47+ζ63−ζ9−ζ41−ζ47−ζ63ζ31+ζ57+ζ73+ζ79−ζ31−ζ57−ζ73−ζ79ζ27−ζ29−ζ43+ζ61−ζ27+ζ29+ζ43−ζ61ζ11+ζ13−ζ59−ζ77−ζ11−ζ13+ζ59+ζ77ζ9−ζ41+ζ47−ζ63−ζ9+ζ41−ζ47+ζ63ζ31+ζ57−ζ73−ζ79−ζ31−ζ57+ζ73+ζ79ζ27+ζ29−ζ43−ζ61−ζ27−ζ29+ζ43+ζ61ζ11−ζ13−ζ59+ζ77−ζ11+ζ13+ζ59−ζ77−ζ9+ζ41+ζ47−ζ63ζ9−ζ41−ζ47+ζ63−ζ31+ζ57−ζ73+ζ79ζ31−ζ57+ζ73−ζ7900000000000000000000000000
χ1144-4−4i4i00−22222i2−2i22ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ7900-1005−5ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ72ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ7210000i−i−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76−i5i5ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58ζ14−ζ42+ζ46−ζ58−ζ14+ζ42−ζ46+ζ58−ζ26+ζ62−ζ74+ζ78ζ26−ζ62+ζ74−ζ78−ζ27−ζ29−ζ43−ζ61ζ27+ζ29+ζ43+ζ61−ζ11−ζ13−ζ59−ζ77ζ11+ζ13+ζ59+ζ77ζ9+ζ41−ζ47−ζ63−ζ9−ζ41+ζ47+ζ63−ζ31+ζ57+ζ73−ζ79ζ31−ζ57−ζ73+ζ79ζ27−ζ29+ζ43−ζ61−ζ27+ζ29−ζ43+ζ61ζ11−ζ13+ζ59−ζ77−ζ11+ζ13−ζ59+ζ77ζ9+ζ41+ζ47+ζ63−ζ9−ζ41−ζ47−ζ63ζ31+ζ57+ζ73+ζ79−ζ31−ζ57−ζ73−ζ79−ζ27+ζ29+ζ43−ζ61ζ27−ζ29−ζ43+ζ61−ζ11−ζ13+ζ59+ζ77ζ11+ζ13−ζ59−ζ77−ζ9+ζ41−ζ47+ζ63ζ9−ζ41+ζ47−ζ63−ζ31−ζ57+ζ73+ζ79ζ31+ζ57−ζ73−ζ79−ζ27−ζ29+ζ43+ζ61ζ27+ζ29−ζ43−ζ61−ζ11+ζ13+ζ59−ζ77ζ11−ζ13−ζ59+ζ77ζ9−ζ41−ζ47+ζ63−ζ9+ζ41+ζ47−ζ63ζ31−ζ57+ζ73−ζ79−ζ31+ζ57−ζ73+ζ7900000000000000000000000000
χ1154-4−4i4i00−22222i2−2i22ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ7900-100−55−ζ8−ζ24+ζ56+ζ72ζ8+ζ24−ζ56−ζ72ζ8−ζ24+ζ56−ζ72−ζ8+ζ24−ζ56+ζ7210000i−iζ12−ζ28−ζ44+ζ76−ζ12+ζ28+ζ44−ζ76ζ12−ζ28+ζ44−ζ76−ζ12+ζ28−ζ44+ζ76i5−i5ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78ζ14−ζ42−ζ46+ζ58−ζ14+ζ42+ζ46−ζ58−ζ26+ζ62+ζ74−ζ78ζ26−ζ62−ζ74+ζ78ζ14+ζ42−ζ46−ζ58−ζ14−ζ42+ζ46+ζ58ζ26+ζ62−ζ74−ζ78−ζ26−ζ62+ζ74+ζ78−ζ26+ζ62−ζ74+ζ78ζ26−ζ62+ζ74−ζ78ζ14−ζ42+ζ46−ζ58−ζ14+ζ42−ζ46+ζ58−ζ11−ζ13−ζ59−ζ77ζ11+ζ13+ζ59+ζ77−ζ27−ζ29−ζ43−ζ61ζ27+ζ29+ζ43+ζ61−ζ31+ζ57+ζ73−ζ79ζ31−ζ57−ζ73+ζ79ζ9+ζ41−ζ47−ζ63−ζ9−ζ41+ζ47+ζ63ζ11−ζ13+ζ59−ζ77−ζ11+ζ13−ζ59+ζ77ζ27−ζ29+ζ43−ζ61−ζ27+ζ29−ζ43+ζ61ζ31+ζ57+ζ73+ζ79−ζ31−ζ57−ζ73−ζ79ζ9+ζ41+ζ47+ζ63−ζ9−ζ41−ζ47−ζ63ζ11+ζ13−ζ59−ζ77−ζ11−ζ13+ζ59+ζ77−ζ27+ζ29+ζ43−ζ61ζ27−ζ29−ζ43+ζ61ζ31+ζ57−ζ73−ζ79−ζ31−ζ57+ζ73+ζ79−ζ9+ζ41−ζ47+ζ63ζ9−ζ41+ζ47−ζ63ζ11−ζ13−ζ59+ζ77−ζ11+ζ13+ζ59−ζ77−ζ27−ζ29+ζ43+ζ61ζ27+ζ29−ζ43−ζ61ζ31−ζ57+ζ73−ζ79−ζ31+ζ57−ζ73+ζ79−ζ9+ζ41+ζ47−ζ63ζ9−ζ41−ζ47+ζ6300000000000000000000000000
χ1164-4−4i4i00−22222i2−2i22ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ77−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ7900-100−55ζ8+ζ24−ζ56−ζ72−ζ8−ζ24+ζ56+ζ72−ζ8+ζ24−ζ56+ζ72ζ8−ζ24+ζ56−ζ7210000i−i−ζ12+ζ28+ζ44−ζ76ζ12−ζ28−ζ44+ζ76−ζ12+ζ28−ζ44+ζ76ζ12−ζ28+ζ44−ζ76i5−i5ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78−ζ14+ζ42+ζ46−ζ58ζ14−ζ42−ζ46+ζ58ζ26−ζ62−ζ74+ζ78−ζ26+ζ62+ζ74−ζ78−ζ14−ζ42+ζ46+ζ58ζ14+ζ42−ζ46−ζ58−ζ26−ζ62+ζ74+ζ78ζ26+ζ62−ζ74−ζ78−ζ26+ζ62−ζ74+ζ78ζ26−ζ62+ζ74−ζ78ζ14−ζ42+ζ46−ζ58−ζ14+ζ42−ζ46+ζ58−ζ11−ζ13−ζ59−ζ77ζ11+ζ13+ζ59+ζ77−ζ27−ζ29−ζ43−ζ61ζ27+ζ29+ζ43+ζ61−ζ31+ζ57+ζ73−ζ79ζ31−ζ57−ζ73+ζ79ζ9+ζ41−ζ47−ζ63−ζ9−ζ41+ζ47+ζ63ζ11−ζ13+ζ59−ζ77−ζ11+ζ13−ζ59+ζ77ζ27−ζ29+ζ43−ζ61−ζ27+ζ29−ζ43+ζ61ζ31+ζ57+ζ73+ζ79−ζ31−ζ57−ζ73−ζ79ζ9+ζ41+ζ47+ζ63−ζ9−ζ41−ζ47−ζ63−ζ11−ζ13+ζ59+ζ77ζ11+ζ13−ζ59−ζ77ζ27−ζ29−ζ43+ζ61−ζ27+ζ29+ζ43−ζ61−ζ31−ζ57+ζ73+ζ79ζ31+ζ57−ζ73−ζ79ζ9−ζ41+ζ47−ζ63−ζ9+ζ41−ζ47+ζ63−ζ11+ζ13+ζ59−ζ77ζ11−ζ13−ζ59+ζ77ζ27+ζ29−ζ43−ζ61−ζ27−ζ29+ζ43+ζ61−ζ31+ζ57−ζ73+ζ79ζ31−ζ57+ζ73−ζ79ζ9−ζ41−ζ47+ζ63−ζ9+ζ41+ζ47−ζ6300000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.