Finite Group Databasebeta

← Group #12253866

Character table — Group #12253866

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size112222222222222222244444444444444444444444444444441616161616161616161620202020202020208080112222222222222222244444444444444444444444444444441616161616161616161620202020202020208080
order122445588101010101010161616168161620202020404040404040404080808080808080808080808080808080241010101020202020248816161616882224410108810101010101016161616816162020202040404040404040408080808080808080808080808080808024101010102020202024881616161688
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-1
χ6111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-11111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-11
χ7111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11
χ8111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1111111111111111-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1
χ92222222-2-22222220000-2002222-2-2-2-2-2-2-2-20000000000000000000000000022-2-20000002222222-2-22222220000-2002222-2-2-2-2-2-2-2-20000000000000000000000000022-2-2000000
χ102222222-2-22222220000-2002222-2-2-2-2-2-2-2-200000000000000000000000000-2-2220000002222222-2-22222220000-2002222-2-2-2-2-2-2-2-200000000000000000000000000-2-222000000
χ1122222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000022222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ1222222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000022222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000
χ1322222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000022222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ1422222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000022222−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ1522222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000022222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ1622222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−52000000000022222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−520000000000
χ1722222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000022222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ1822222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000022222−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ19222-2-2220022222222−2−202−2-2-2-2-2000000002222−2−2−2−22222−2−2−2−20000000000002i−2ii2i2−i2−i200222-2-2220022222222−2−202−2-2-2-2-2000000002222−2−2−2−22222−2−2−2−20000000000002i−2ii2i2−i2−i200
χ20222-2-2220022222222−2−202−2-2-2-2-2000000002222−2−2−2−22222−2−2−2−2000000000000−2i2i−i2−i2i2i200222-2-2220022222222−2−202−2-2-2-2-2000000002222−2−2−2−22222−2−2−2−2000000000000−2i2i−i2−i2i2i200
χ21222-2-22200222222−2−2220−22-2-2-2-200000000−2−2−2−22222−2−2−2−222220000000000002i−2i−i2−i2i2i200222-2-22200222222−2−2220−22-2-2-2-200000000−2−2−2−22222−2−2−2−222220000000000002i−2i−i2−i2i2i200
χ22222-2-22200222222−2−2220−22-2-2-2-200000000−2−2−2−22222−2−2−2−22222000000000000−2i2ii2i2−i2−i200222-2-22200222222−2−2220−22-2-2-2-200000000−2−2−2−22222−2−2−2−22222000000000000−2i2ii2i2−i2−i200
χ2322-22-22222-2-2-2-2222222-2-2-2-2-222-2-2-2-2222222-2-222-2-222-2-222-2-20000000000000000000022-22-22222-2-2-2-2222222-2-2-2-2-222-2-2-2-2222222-2-222-2-222-2-222-2-200000000000000000000
χ2422-22-22222-2-2-2-222-2-2-2-2-222-2-222-2-2-2-22222-2-222-2-222-2-222-2-2220000000000000000000022-22-22222-2-2-2-222-2-2-2-2-222-2-222-2-2-2-22222-2-222-2-222-2-222-2-22200000000000000000000
χ2522-22-222-2-2-2-2-2-2220000200-2-2222222-2-2-2-20000000000000000000000000000002i−2i2i−2i0022-22-222-2-2-2-2-2-2220000200-2-2222222-2-2-2-20000000000000000000000000000002i−2i2i−2i00
χ2622-22-222-2-2-2-2-2-2220000200-2-2222222-2-2-2-2000000000000000000000000000000−2i2i−2i2i0022-22-222-2-2-2-2-2-2220000200-2-2222222-2-2-2-2000000000000000000000000000000−2i2i−2i2i00
χ2722-22-2−1+52−1−52221−521−521+521+52−1+52−1−522222-2-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+5200ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72000000000022-22-2−1+52−1−52221−521−521+521+52−1+52−1−522222-2-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+5200ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000000000
χ2822-22-2−1+52−1−52221−521−521+521+52−1+52−1−522222-2-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+5200−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72000000000022-22-2−1+52−1−52221−521−521+521+52−1+52−1−522222-2-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+5200−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000
χ2922-22-2−1+52−1−52221−521−521+521+52−1+52−1−52-2-2-2-2-2221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−5200ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72000000000022-22-2−1+52−1−52221−521−521+521+52−1+52−1−52-2-2-2-2-2221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−5200ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000
χ3022-22-2−1+52−1−52221−521−521+521+52−1+52−1−52-2-2-2-2-2221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−5200−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72000000000022-22-2−1+52−1−52221−521−521+521+52−1+52−1−52-2-2-2-2-2221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−5200−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000000000
χ3122-22-2−1−52−1+52221+521+521−521−52−1−52−1+522222-2-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1−52−1−521+521+52−1+52−1+521−521−52−1+52−1+521−521−5200−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56000000000022-22-2−1−52−1+52221+521+521−521−52−1−52−1+522222-2-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1−52−1−521+521+52−1+52−1+521−521−52−1+52−1+521−521−5200−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000000000
χ3222-22-2−1−52−1+52221+521+521−521−52−1−52−1+522222-2-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1−52−1−521+521+52−1+52−1+521−521−52−1+52−1+521−521−5200ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56000000000022-22-2−1−52−1+52221+521+521−521−52−1−52−1+522222-2-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1−52−1−521+521+52−1+52−1+521−521−52−1+52−1+521−521−5200ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000000000
χ3322-22-2−1−52−1+52221+521+521−521−52−1−52−1+52-2-2-2-2-2221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+5200−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56000000000022-22-2−1−52−1+52221+521+521−521−52−1−52−1+52-2-2-2-2-2221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+5200−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000000000
χ3422-22-2−1−52−1+52221+521+521−521−52−1−52−1+52-2-2-2-2-2221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+5200ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56000000000022-22-2−1−52−1+52221+521+521−521−52−1−52−1+52-2-2-2-2-2221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+5200ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000000000
χ3522-2-222200-2-2-2-22222−2−20−2222-2-20000000022−2−2−2−22222−2−2−2−22200000000002-2002−2−220022-2-222200-2-2-2-22222−2−20−2222-2-20000000022−2−2−2−22222−2−2−2−22200000000002-2002−2−2200
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χ1344-4000−1−5−1+522−22−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−52ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ770000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ6100000000000000000000-440001+51−5−22222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ56−1−5−1+5−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ770000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ6100000000000000000000
χ1354-4000−1−5−1+522−222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−5−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ770000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ6100000000000000000000-440001+51−5−2222−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ56−1−5−1+52ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ770000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ6100000000000000000000
χ1364-4000−1−5−1+522−222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−52ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ770000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ6100000000000000000000-440001+51−5−2222−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ56−1−5−1+5−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ770000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ6100000000000000000000
χ1374-4000−1−5−1+5−2222−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−5−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ772ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ790000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ7900000000000000000000-440001+51−522−222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ56−1−5−1+52ζ11+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+2ζ790000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ7900000000000000000000
χ1384-4000−1−5−1+5−2222−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−52ζ11+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+2ζ790000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ7900000000000000000000-440001+51−522−222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ56−1−5−1+5−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ772ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ790000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ7900000000000000000000
χ1394-4000−1−5−1+5−22222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−5−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ772ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ790000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ7900000000000000000000-440001+51−522−22−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ56−1−5−1+52ζ11+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+2ζ790000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ7900000000000000000000
χ1404-4000−1−5−1+5−22222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−52ζ11+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+2ζ790000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ7900000000000000000000-440001+51−522−22−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ56−1−5−1+5−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ772ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ790000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ7900000000000000000000

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