Finite Group Databasebeta

← Group #11992391

Character table — Group #11992391

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size11111111222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444161616161616161616161616161616161616161640404040404040404040404040404040
order1222222244444444551010101010101010101010101010448888888820202020202020202020202020202020202020202020202040404040404040404040404040404040404040404040404040404040404040404444202020202020202020202020202020202244888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ91-1-1-111-1111-1-11-1-1111-1-1-1-1-1-1111111-1-11-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i1-11-1ii−i−iii−i−i11-1-1
χ101-1-1-111-1111-1-11-1-1111-1-1-1-1-1-1111111-1-11-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i-11-11−i−iii−i−iii-1-111
χ111-1-1-111-1111-1-11-1-1111-1-1-1-1-1-1111111-1-11-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii1-11-1−i−iii−i−iii11-1-1
χ121-1-1-111-1111-1-11-1-1111-1-1-1-1-1-1111111-1-11-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii-11-11ii−i−iii−i−i-1-111
χ131-1-1-111-1111-1-11-1-1111-1-1-1-1-1-1111111-1-11-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiii1-11-1ii−i−i−i−iii-1-111
χ141-1-1-111-1111-1-11-1-1111-1-1-1-1-1-1111111-1-11-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−i−iiiiii−i−i−i−i−i−i−i−iiiii-11-11−i−iiiii−i−i11-1-1
χ151-1-1-111-1111-1-11-1-1111-1-1-1-1-1-1111111-1-11-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i1-11-1−i−iiiii−i−i-1-111
χ161-1-1-111-1111-1-11-1-1111-1-1-1-1-1-1111111-1-11-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−iii−i−i−i−i−iiiiiiiii−i−i−i−i-11-11ii−i−i−i−iii11-1-1
χ172222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−522222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ182222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−522222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ192222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ202222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ212222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ222222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ232222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+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+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+521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ242222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+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+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+521−521−521−521−521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ252222222222-2-2-222-22222222222222222-2-20000000022-2-222-2-222-2-2-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000022-2-2000000000000
χ262222222222-2-2-222-22222222222222222-2-20000000022-2-222-2-222-2-2-2-222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-2-222000000000000
χ2722222222-2-2222-2-222222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-222222222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ2822222222-2-2222-2-222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2922222222-2-2222-2-22−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-22222-2-2-2-21−521−521−521−521+521+521+521+521−521−52−1+52−1+521−521−521+521+52−1−52−1−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ3022222222-2-2222-2-22−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-22222-2-2-2-21−521−521−521−521+521+521+521+521−521−52−1+52−1+521−521−521+521+52−1−52−1−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ3122222222-2-2222-2-22−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2-2-2-2-222221−521−521−521−521+521+521+521+521−521−52−1+52−1+521−521−521+521+52−1−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ3222222222-2-2222-2-22−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2-2-2-2-222221−521−521−521−521+521+521+521+521−521−52−1+52−1+521−521−521+521+52−1−52−1−521+521+52−1+52−1+52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ3322222222-2-2222-2-22−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-22222-2-2-2-21+521+521+521+521−521−521−521−521+521+52−1−52−1−521+521+521−521−52−1+52−1+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ3422222222-2-2222-2-22−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-22222-2-2-2-21+521+521+521+521−521−521−521−521+521+52−1−52−1−521+521+521−521−52−1+52−1+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ3522222222-2-2222-2-22−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-2-2-2-2-222221+521+521+521+521−521−521−521−521+521+52−1−52−1−521+521+521−521−52−1+52−1+521−521−52−1−52−1−52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
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χ1184-44-44-44-400000000−1−5−1+51+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−5−1−5−1+50022−22−2222000000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ2800002ζ4−2ζ36−2ζ4+2ζ3600002ζ12−2ζ28−2ζ12+2ζ280000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000000000000000000000
χ1194-44-44-44-400000000−1−5−1+51+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−5−1−5−1+50022−22−22220000002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ280000−2ζ4+2ζ362ζ4−2ζ360000−2ζ12+2ζ282ζ12−2ζ280000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000000000000000000000
χ1204-44-44-44-400000000−1−5−1+51+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−5−1−5−1+500−222222−22000000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ2800002ζ4−2ζ36−2ζ4+2ζ3600002ζ12−2ζ28−2ζ12+2ζ280000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000000000000000000000000000000000
χ1214-44-44-44-400000000−1−5−1+51+5−1−51+51−5−1+51−51+5−1−51+51−5−1+51−5−1−5−1+500−222222−220000002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ280000−2ζ4+2ζ362ζ4−2ζ360000−2ζ12+2ζ282ζ12−2ζ280000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000000000000000000000
χ1224-4-44-4-444004-4400-444-4-44-4-444-4-44-4-444000000000000000000004-400004-400-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-44-4-444004-4400-4−1+5−1−51−51−5−1+51+51+5−1−5−1+51−51−5−1−51+51+5−1+5−1−500000000000000000000−1+51−50000−1−51+5001−5−1+51+5−1−52ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ280000−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ360000−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ2800002ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000
χ1244-4-44-4-444004-4400-4−1+5−1−51−51−5−1+51+51+5−1−5−1+51−51−5−1−51+51+5−1+5−1−500000000000000000000−1+51−50000−1−51+5001−5−1+51+5−1−5−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ2800002ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ3600002ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ280000−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ360000000000000000000000000000000000000000
χ1254-4-44-4-444004-4400-4−1−5−1+51+51+5−1−51−51−5−1+5−1−51+51+5−1+51−51−5−1−5−1+500000000000000000000−1−51+50000−1+51−5001+5−1−51−5−1+5−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ360000−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ2800002ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ3600002ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000
χ1264-4-44-4-444004-4400-4−1−5−1+51+51+5−1−51−51−5−1+5−1−51+51+5−1+51−51−5−1−5−1+500000000000000000000−1−51+50000−1+51−5001+5−1−51−5−1+52ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ3600002ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ280000−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ360000−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ280000000000000000000000000000000000000000
χ1274-4-44-4-44400-44-4004−1+5−1−51−51−5−1+51+51+5−1−5−1+51−51−5−1−51+51+5−1+5−1−50000004-4-4400000000001−5−1+500001+5−1−500−1+51−5−1−51+50000−1+5−1+51−51−50000−1−5−1−51+51+500001−51−5−1+5−1+500001+51+5−1−5−1−5000000000000000000000000000000000000
χ1284-4-44-4-44400-44-4004−1+5−1−51−51−5−1+51+51+5−1−5−1+51−51−5−1−51+51+5−1+5−1−5000000-444-400000000001−5−1+500001+5−1−500−1+51−5−1−51+500001−51−5−1+5−1+500001+51+5−1−5−1−50000−1+5−1+51−51−50000−1−5−1−51+51+5000000000000000000000000000000000000
χ1294-4-44-4-44400-44-4004−1−5−1+51+51+5−1−51−51−5−1+5−1−51+51+5−1+51−51−5−1−5−1+50000004-4-4400000000001+5−1−500001−5−1+500−1−51+5−1+51−50000−1−5−1−51+51+50000−1+5−1+51−51−500001+51+5−1−5−1−500001−51−5−1+5−1+5000000000000000000000000000000000000
χ1304-4-44-4-44400-44-4004−1−5−1+51+51+5−1−51−51−5−1+5−1−51+51+5−1+51−51−5−1−5−1+5000000-444-400000000001+5−1−500001−5−1+500−1−51+5−1+51−500001+51+5−1−5−1−500001−51−5−1+5−1+50000−1−5−1−51+51+50000−1+5−1+51−51−5000000000000000000000000000000000000
χ1314-4-4-444-444444-4-4-4-4−1+5−1−51−51−51−51+51+51+5−1+5−1+5−1+5−1−5−1−5−1−51−51+5-4400000000−1+5−1+51−51−5−1−5−1−51+51+51−51−5−1+5−1+5−1+5−1+51+51+5−1−5−1−5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-4-444-444444-4-4-4-4−1−5−1+51+51+51+51−51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51−5-4400000000−1−5−1−51+51+5−1+5−1+51−51−51+51+5−1−5−1−5−1−5−1−51−51−5−1+5−1+5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-4-444-44-4-444-444-4−1+5−1−51−51−51−51+51+51+5−1+5−1+5−1+5−1−5−1−5−1−51−51+54-4000000001−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1+5−1+5−1+51−51−5−1−5−1−5−1−5−1−51+51+51−51−51+51+500000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-4-444-44-4-444-444-4−1−5−1+51+51+51+51−51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51−54-4000000001+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1−5−1−5−1−51+51+5−1+5−1+5−1+5−1+51−51−51+51+51−51−500000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.