Finite Group Databasebeta

← Group #12017123

Character table — Group #12017123

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444448888101010101616161616161616161616161616161616162020202020202020202020202020404040408080
order12224444224455888888881010101010102020202020202020101010101616161616161616202020204040404040404040404040404040404080808080808080808080808080808080808080808080808080808080808080804444888888202020202020202040404040404040404444881616161616161616888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1
χ91111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1ii−i−ii−i1111-1-1-1-1iiii−i−i−i−iii−i−ii−i1111-1-1-1-1ii−i−i1-1
χ101111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1−i−iiii−i1111-1-1-1-1iiii−i−i−i−i−i−iii−ii-1-1-1-11111−i−iii-11
χ111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111ii−i−i−ii-1-1-1-11111−i−i−i−iiiiiii−i−ii−i1111-1-1-1-1−i−iii-11
χ121111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111−i−iii−ii-1-1-1-11111−i−i−i−iiiii−i−iii−ii-1-1-1-11111ii−i−i1-1
χ131111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1ii−i−i−ii1111-1-1-1-1−i−i−i−iiiiiii−i−ii−i-1-1-1-11111ii−i−i-11
χ141111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1−i−iii−ii1111-1-1-1-1−i−i−i−iiiii−i−iii−ii1111-1-1-1-1−i−iii1-1
χ151111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111ii−i−ii−i-1-1-1-11111iiii−i−i−i−iii−i−ii−i-1-1-1-11111−i−iii1-1
χ161111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111−i−iiii−i-1-1-1-11111iiii−i−i−i−i−i−iii−ii1111-1-1-1-1ii−i−i-11
χ1722222222222222-2-2-2-2-2-2-2-2222222222222222222000000002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002222000000000000000000-2-2-2-22200000000000000
χ1822222222222222-2-2-2-2-2-2-2-2222222222222222222000000002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2-2-20000000000000000002222-2-200000000000000
χ19222222222222−1+52−1−5222222222−1+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+52−1−52−1−5222222222−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222000022−1+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+52−1−52−1−5200000000000000000000
χ20222222222222−1+52−1−5222222222−1+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+52−1−52−1−5222222222−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-20000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ21222222222222−1+52−1−5222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222220000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ22222222222222−1+52−1−5222222222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-2-2-20000221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ23222222222222−1−52−1+5222222222−1−52−1+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+5222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1+52−1+52−1+52−1+52−1+522222000022−1−52−1−52−1+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+5200000000000000000000
χ24222222222222−1−52−1+5222222222−1−52−1+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+5222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1+52−1+52−1+52−1+52−1+52-2-2-2-20000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ25222222222222−1−52−1+5222222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222220000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ26222222222222−1−52−1+5222222222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2-2-20000221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ2722222222-2-2-2-2220000000022222222222222-2-2-2-222−2−222−2−2-2-2-2-200000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000022220000000000000000000000-2-222−2−222−2−2000000
χ2822222222-2-2-2-2220000000022222222222222-2-2-2-222−2−222−2−2-2-2-2-200000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000-2-2-2-2000000000000000000000022−2−222−2−222000000
χ2922222222-2-2-2-2220000000022222222222222-2-2-2-2−2−222−2−222-2-2-2-20000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000022220000000000000000000000-2-2−2−222−2−222000000
χ3022222222-2-2-2-2220000000022222222222222-2-2-2-2−2−222−2−222-2-2-2-20000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000-2-2-2-200000000000000000000002222−2−222−2−2000000
χ312222-2-2-2-222-2-22200000000222222-2-2-2-2-2-2-2-22222i2i2−i2−i2−i2−i2i2i2-2-2-2-20000000000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200002i2i−2i−2i0000000000000000000000−2i2i22−2−2−2−222000000
χ322222-2-2-2-222-2-22200000000222222-2-2-2-2-2-2-2-22222i2i2−i2−i2−i2−i2i2i2-2-2-2-20000000000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000−2i−2i2i2i00000000000000000000002i−2i−2−22222−2−2000000
χ332222-2-2-2-222-2-22200000000222222-2-2-2-2-2-2-2-22222−i2−i2i2i2i2i2−i2−i2-2-2-2-20000000000000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200002i2i−2i−2i0000000000000000000000−2i2i−2−22222−2−2000000
χ342222-2-2-2-222-2-22200000000222222-2-2-2-2-2-2-2-22222−i2−i2i2i2i2i2−i2−i2-2-2-2-20000000000000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000−2i−2i2i2i00000000000000000000002i−2i22−2−2−2−222000000
χ352222-2-2-2-2-2-22222-2-22222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000002i2i−2i−2i000000000000000000−2i−2i2i2i2i−2i00000000000000
χ362222-2-2-2-2-2-22222-2-22222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000−2i−2i2i2i0000000000000000002i2i−2i−2i−2i2i00000000000000
χ372222-2-2-2-2-2-222−1+52−1−5222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+522i2i2i2i−2i−2i−2i−2i−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−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ2822-2-200002i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ2800000000000000000000
χ382222-2-2-2-2-2-222−1+52−1−5222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+522i2i2i2i−2i−2i−2i−2i−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−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28-2-2220000−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ2800000000000000000000
χ392222-2-2-2-2-2-222−1+52−1−5222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−2i−2i−2i−2i2i2i2i2i−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+52ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ2822-2-20000−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ2800000000000000000000
χ402222-2-2-2-2-2-222−1+52−1−5222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−2i−2i−2i−2i2i2i2i2i−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+52ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28-2-22200002i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ2800000000000000000000
χ412222-2-2-2-2-2-222−1−52−1+5222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−522i2i2i2i−2i−2i−2i−2i−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−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ7622-2-200002i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ7600000000000000000000
χ422222-2-2-2-2-2-222−1−52−1+5222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−522i2i2i2i−2i−2i−2i−2i−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−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76-2-2220000−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ7600000000000000000000
χ432222-2-2-2-2-2-222−1−52−1+5222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−2i−2i−2i−2i2i2i2i2i−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+521−521−52ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ7622-2-20000−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ7600000000000000000000
χ442222-2-2-2-2-2-222−1−52−1+5222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−2i−2i−2i−2i2i2i2i2i−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+521−521−52ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76-2-22200002i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ7600000000000000000000
χ4522-2-22i−2i2i−2i0000222−2i2−i2i2−i22−2-2-22-22-22i−2i2i−2i2i−2i2i−2i0000ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79000022−2−222−2−2i2−i2i2−i2i2−i2i2−i2ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ790000−2ζ26−2ζ42−2ζ58−2ζ742ζ26+2ζ42+2ζ58+2ζ74−2ζ14−2ζ46−2ζ62−2ζ782ζ14+2ζ46+2ζ62+2ζ780000000000000000001+i−1−i1−i−1+i00−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77000000
χ4622-2-22i−2i2i−2i0000222−2i2−i2i2−i22−2-2-22-22-22i−2i2i−2i2i−2i2i−2i0000ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79000022−2−222−2−2i2−i2i2−i2i2−i2i2−i2ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79ζ13+ζ29−ζ31−ζ47+ζ61−ζ63+ζ77−ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ13−ζ29+ζ31+ζ47−ζ61+ζ63−ζ77+ζ79−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73−ζ9−ζ11−ζ27−ζ41−ζ43−ζ57−ζ59−ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9+ζ11+ζ27+ζ41+ζ43+ζ57+ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73ζ9−ζ11−ζ27+ζ41−ζ43+ζ57−ζ59+ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73−ζ9+ζ11+ζ27−ζ41+ζ43−ζ57+ζ59−ζ73ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79ζ13+ζ29+ζ31+ζ47+ζ61+ζ63+ζ77+ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ79−ζ13−ζ29−ζ31−ζ47−ζ61−ζ63−ζ77−ζ7900002ζ26+2ζ42+2ζ58+2ζ74−2ζ26−2ζ42−2ζ58−2ζ742ζ14+2ζ46+2ζ62+2ζ78−2ζ14−2ζ46−2ζ62−2ζ78000000000000000000−1−i1+i−1+i1−i00ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77000000
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χ1424-4-44-4-444-444-4440000000044-4-4-4-4-4-4-4-444444-44-40000000044-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-44-4-444-444-4−1+5−1−500000000−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+51−5−1−51+500000000−1+5−1−51−51+50000000000000000ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ780000000000000000000000000000000000000000000000
χ1444-4-44-4-444-444-4−1+5−1−500000000−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+51−5−1−51+500000000−1+5−1−51−51+50000000000000000−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ780000000000000000000000000000000000000000000000
χ1454-4-44-4-444-444-4−1−5−1+500000000−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−51+5−1+51−500000000−1−5−1+51+51−50000000000000000−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ740000000000000000000000000000000000000000000000
χ1464-4-44-4-444-444-4−1−5−1+500000000−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−51+5−1+51−500000000−1−5−1+51+51−50000000000000000ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ740000000000000000000000000000000000000000000000

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