Finite Group Databasebeta

← Group #13025113

Character table — Group #13025113

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222222222224444444444444444444444444444444444444444444444444444444444444444444444441010101020202020202020202020202020208080808080808080
order122244444488888888510101016161616161616162020202020202020202020204040404040404040404040404040404080808080808080808080808080808080808080808080808080808080808080804444248888161616161616161688888888
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
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ81111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ91111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-11-11-11-1
χ101111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11-11-11
χ111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111i−ii−i−ii−ii
χ121111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111−ii−iii−ii−i
χ131111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111111-1-111-1-11
χ141111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-111-1-111-1
χ151111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1111111-1-1-1-1i−i−ii−iii−i
χ161111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1111111-1-1-1-1−iii−ii−i−ii
χ172222222222-2-2-2-2-2-2-2-2222200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222222-2-2-2-20000000000000000
χ182222222222-2-2-2-2-2-2-2-2222200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-222220000000000000000
χ19222222-2-2-2-2000000002222i2i2−i2−i2i2i2−i2−i22222-2-2-2-2-2-2-2-20000000000000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i222-2-22-20000i2i2−i2−i2i2i2−i2−i200000000
χ20222222-2-2-2-2000000002222i2i2−i2−i2i2i2−i2−i22222-2-2-2-2-2-2-2-20000000000000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2-2-222-220000−i2−i2i2i2−i2−i2i2i200000000
χ21222222-2-2-2-2000000002222−i2−i2i2i2−i2−i2i2i22222-2-2-2-2-2-2-2-20000000000000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i222-2-22-20000−i2−i2i2i2−i2−i2i2i200000000
χ22222222-2-2-2-2000000002222−i2−i2i2i2−i2−i2i2i22222-2-2-2-2-2-2-2-20000000000000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2-2-222-220000i2i2−i2−i2i2i2−i2−i200000000
χ232222-2-222-2-2000000002222i2i2−i2−i2−i2−i2i2i2-2-2-2-22222-2-2-2-20000000000000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i222-2-2-220000i2i2−i2−i2−i2−i2i2i200000000
χ242222-2-222-2-2000000002222i2i2−i2−i2−i2−i2i2i2-2-2-2-22222-2-2-2-20000000000000000i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2-2-2222-20000−i2−i2i2i2i2i2−i2−i200000000
χ252222-2-222-2-2000000002222−i2−i2i2i2i2i2−i2−i2-2-2-2-22222-2-2-2-20000000000000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i222-2-2-220000−i2−i2i2i2i2i2−i2−i200000000
χ262222-2-222-2-2000000002222−i2−i2i2i2i2i2−i2−i2-2-2-2-22222-2-2-2-20000000000000000−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2-2-2222-20000i2i2−i2−i2−i2−i2i2i200000000
χ272222-2-2-2-2222222-2-2-2-2222200000000-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-2220000000000000000
χ282222-2-2-2-2222222-2-2-2-2222200000000-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-20000000000000000
χ2922-2-200002-2000022-2-222-2-200002i−2i2i−2i0000000022-2-2000000002222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i−2i2i−2i002i−2i0000002-22-200000000
χ3022-2-200002-2000022-2-222-2-200002i−2i2i−2i0000000022-2-2000000002222-2-2-2-200000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i2i−2i2i00−2i2i000000-22-2200000000
χ3122-2-200002-2000022-2-222-2-20000−2i2i−2i2i0000000022-2-2000000002222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i−2i2i−2i002i−2i000000-22-2200000000
χ3222-2-200002-2000022-2-222-2-20000−2i2i−2i2i0000000022-2-2000000002222-2-2-2-20000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i2i−2i2i00−2i2i0000002-22-200000000
χ3322-2-200002-20000-2-22222-2-22i−2i2i−2i00000000000022-2-200000000-2-2-2-222222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000002i−2i2i−2i00−2i2i002-22-2000000000000
χ3422-2-200002-20000-2-22222-2-22i−2i2i−2i00000000000022-2-200000000-2-2-2-222222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000−2i2i−2i2i002i−2i00-22-22000000000000
χ3522-2-200002-20000-2-22222-2-2−2i2i−2i2i00000000000022-2-200000000-2-2-2-22222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000002i−2i2i−2i00−2i2i00-22-22000000000000
χ3622-2-200002-20000-2-22222-2-2−2i2i−2i2i00000000000022-2-200000000-2-2-2-22222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000−2i2i−2i2i002i−2i002-22-2000000000000
χ3722-2-20000-2222-2-2000022-2-22−2−222−2−2200000000-2-2222222-2-2-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−222222i−2i−2i2i00002i−2i−i2i2i2−i2−i2i2i2−i200000000
χ3822-2-20000-2222-2-2000022-2-22−2−222−2−2200000000-2-2222222-2-2-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222−2i2i2i−2i0000−2i2ii2−i2−i2i2i2−i2−i2i200000000
χ3922-2-20000-2222-2-2000022-2-2−222−2−222−200000000-2-2222222-2-2-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−22i−2i−2i2i00002i−2ii2−i2−i2i2i2−i2−i2i200000000
χ4022-2-20000-2222-2-2000022-2-2−222−2−222−200000000-2-2222222-2-2-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2−2i2i2i−2i0000−2i2i−i2i2i2−i2−i2i2i2−i200000000
χ4122-2-20000-22-2-222000022-2-22−2−22−222−200000000-2-222-2-2-2-22222000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−22i−2i−2i2i0000−2i2i−i2i2i2−i2i2−i2−i2i200000000
χ4222-2-20000-22-2-222000022-2-22−2−22−222−200000000-2-222-2-2-2-22222000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−2−2i2i2i−2i00002i−2ii2−i2−i2i2−i2i2i2−i200000000
χ4322-2-20000-22-2-222000022-2-2−222−22−2−2200000000-2-222-2-2-2-2222200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−222222i−2i−2i2i0000−2i2ii2−i2−i2i2−i2i2i2−i200000000
χ4422-2-20000-22-2-222000022-2-2−222−22−2−2200000000-2-222-2-2-2-2222200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−22222−2i2i2i−2i00002i−2i−i2i2i2−i2i2−i2−i2i200000000
χ45444444444444444444-1-1-1-144444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ46444444444444444444-1-1-1-1-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111100000000000000000000000000
χ474444444444-4-4-4-4-4-4-4-4-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i500000000000000000000000000
χ484444444444-4-4-4-4-4-4-4-4-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i500000000000000000000000000
χ49444444-4-4-4-400000000-1-1-1-12i22i2−2i2−2i22i22i2−2i2−2i2-1-1-1-111111111i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5ζ14+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−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
χ50444444-4-4-4-400000000-1-1-1-12i22i2−2i2−2i22i22i2−2i2−2i2-1-1-1-111111111−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5−i5−i5i5i5ζ26+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−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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χ1044-4-444-40000−2i22i22i2−2i2−2i22i22i2−2i2-111-100000000-111-1i5−i5−i5i5−i5i5i5−i5−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ7900000000000000000000000000
χ1054-4-444-40000−2i22i22i2−2i2−2i22i22i2−2i2-111-100000000-111-1−i5i5i5−i5i5−i5−i5i5−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58ζ26+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−ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ6300000000000000000000000000
χ1064-4-444-40000−2i22i22i2−2i2−2i22i22i2−2i2-111-100000000-111-1−i5i5i5−i5i5−i5−i5i5−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58ζ26+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−ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ6300000000000000000000000000
χ1074-4-44-4400002i2−2i2−2i22i2−2i22i22i2−2i24-4-4400000000-444-4000000002i2−2i22i2−2i2−2i22i2−2i22i2−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ1084-4-44-4400002i2−2i2−2i22i2−2i22i22i2−2i2-111-1000000001-1-11i5−i5−i5i5i5−i5−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+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ6300000000000000000000000000
χ1094-4-44-4400002i2−2i2−2i22i2−2i22i22i2−2i2-111-1000000001-1-11i5−i5−i5i5i5−i5−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+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ6300000000000000000000000000
χ1104-4-44-4400002i2−2i2−2i22i2−2i22i22i2−2i2-111-1000000001-1-11−i5i5i5−i5−i5i5i5−i5ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ7900000000000000000000000000
χ1114-4-44-4400002i2−2i2−2i22i2−2i22i22i2−2i2-111-1000000001-1-11−i5i5i5−i5−i5i5i5−i5ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ7900000000000000000000000000
χ1124-4-44-440000−2i22i22i2−2i22i2−2i2−2i22i24-4-4400000000-444-400000000−2i22i2−2i22i22i2−2i22i2−2i22i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ1134-4-44-440000−2i22i22i2−2i22i2−2i2−2i22i2-111-1000000001-1-11i5−i5−i5i5i5−i5−i5i5−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58ζ26+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+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ4300000000000000000000000000
χ1144-4-44-440000−2i22i22i2−2i22i2−2i2−2i22i2-111-1000000001-1-11i5−i5−i5i5i5−i5−i5i5−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58ζ26+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+ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ4300000000000000000000000000
χ1154-4-44-440000−2i22i22i2−2i22i2−2i2−2i22i2-111-1000000001-1-11−i5i5i5−i5−i5i5i5−i5−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ7300000000000000000000000000
χ1164-4-44-440000−2i22i22i2−2i22i2−2i2−2i22i2-111-1000000001-1-11−i5i5i5−i5−i5i5i5−i5−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78ζ14+ζ42+ζ46+ζ58−ζ14−ζ42−ζ46−ζ58ζ26+ζ62+ζ74+ζ78−ζ26−ζ62−ζ74−ζ78−ζ14−ζ42−ζ46−ζ58ζ14+ζ42+ζ46+ζ58−ζ26−ζ62−ζ74−ζ78ζ26+ζ62+ζ74+ζ78ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73−ζ29−ζ47+ζ61+ζ63ζ29+ζ47−ζ61−ζ63ζ13−ζ31−ζ77+ζ79−ζ13+ζ31+ζ77−ζ79ζ29+ζ47−ζ61−ζ63−ζ29−ζ47+ζ61+ζ63−ζ13+ζ31+ζ77−ζ79ζ13−ζ31−ζ77+ζ79−ζ9+ζ27+ζ41−ζ43ζ9−ζ27−ζ41+ζ43−ζ11+ζ57+ζ59−ζ73ζ11−ζ57−ζ59+ζ73ζ9−ζ27−ζ41+ζ43−ζ9+ζ27+ζ41−ζ43ζ11−ζ57−ζ59+ζ73−ζ11+ζ57+ζ59−ζ7300000000000000000000000000

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