Finite Group Databasebeta

← Group #12253874

Character table — Group #12253874

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111122222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444416161616161616161616161616161616161616162020202020202020202020202020202080808080
order124422244455888810101010101016161616161616162020202020202020881010101016161616202020204040404040404040404040404040404080808080808080808080808080808080808080808080808080808080808080802244101010101010101020202020202020202244888816161616161616168888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-11-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11-11-1
χ1011-1-11-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-11-11
χ1111-1-11-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-111-1-11111-1-1-1-1-11-11
χ1211-1-11-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1-1-111111-11-1
χ1311-1-11-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-111111-1-11
χ1411-1-11-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-11111-11-11-1-1111111-1-1-1-1-111-1
χ1511-1-11-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-111111111-1-1-1-11-11-111-1-1-1-1-1-11111-111-1
χ1611-1-11-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-111111111-1-1-1-1-11-11-1-1111111-1-1-1-11-1-11
χ17222222222222-2-2-2-22222220000000022222222-2-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002222-2-2-2-2000000000000
χ18222222222222-2-2-2-22222220000000022222222-2-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-2-2-2-22222000000000000
χ192222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000000000000000
χ202222222222−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+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+5200000000000000000000
χ212222222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+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+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ222222222222−1+52−1−522222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+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+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ232222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ242222222222−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−5200000000000000000000
χ252222222222−1−52−1+522222−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+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+521−521−521−521−521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ262222222222−1−52−1+522222−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+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+521−521−521−521−521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ2722222-2-22-2-222000022222222−2−222−2−22222222200-2-2-2-22−22−2-2-2-2-200000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000000000000000000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i20000
χ2822222-2-22-2-222000022222222−2−222−2−22222222200-2-2-2-22−22−2-2-2-2-200000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000000000000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i20000
χ2922222-2-22-2-2220000222222−2−222−2−2222222222200-2-2-2-2−22−22-2-2-2-20000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000000000000000000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i20000
χ3022222-2-22-2-2220000222222−2−222−2−2222222222200-2-2-2-2−22−22-2-2-2-20000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000000000000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i20000
χ312222-22-2-22-2222222-2-2-2-2222222222222-2-222-2-2-2-22-22-2-2-2-2-2-2-222-2-2-2-222-2-222-2-2222222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ322222-22-2-22-2222222-2-2-2-222-2-2-2-2-2-2-2-222-2-222-2-2-2-22-22-22222-2-222-2-2-2-222-2-222-2-22222-2-222-2-222-2-222-2-222-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ332222-22-2-22-222-2-2-2-2-2-2-2-2220000000022-2-222-2-2222-22-20000-2-2222222-2-222-2-222-2-2-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000
χ342222-22-2-22-222-2-2-2-2-2-2-2-2220000000022-2-222-2-2222-22-20000-2-2222222-2-222-2-222-2-2-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000
χ352222-22-2-22-2−1+52−1−5222221−521−521+521+52−1+52−1−5222222222−1+52−1+521−521−52−1−52−1−521+521+52-2-2−1+521−52−1−521+52-2-2-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+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+52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+520000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ7200000000000000000000
χ362222-22-2-22-2−1+52−1−5222221−521−521+521+52−1+52−1−5222222222−1+52−1+521−521−52−1−52−1−521+521+52-2-2−1+521−52−1−521+52-2-2-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+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+52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−521+521+52−1−52−1−521+521+520000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ7200000000000000000000
χ372222-22-2-22-2−1+52−1−5222221−521−521+521+52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+521−521−52−1−52−1−521+521+52-2-2−1+521−52−1−521+5222221−521+52−1+52−1−521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+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+52−1−52−1−521−521−52−1+52−1+521−521−52−1+52−1+521+521+52−1−52−1−521+521+52−1−52−1−520000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ7200000000000000000000
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χ1334-4−4i4i000000−1−5−1+52i2−2i2−2222−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−5−2ζ11+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+2ζ792ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ12+2ζ28−2ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ44+2ζ76−2ζ44−2ζ762ζ44−2ζ76−2ζ44+2ζ7600000000000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74ζ42+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−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−ζ77−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ610000000000000000000000000000000000000000
χ1344-4−4i4i000000−1−5−1+52i2−2i2−2222−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−52ζ11−2ζ13+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+2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ79−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ772ζ12+2ζ28−2ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ44+2ζ76−2ζ44−2ζ762ζ44−2ζ76−2ζ44+2ζ7600000000000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74ζ42+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−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+ζ77ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ47+ζ57+ζ63−ζ73ζ47−ζ57−ζ63+ζ73−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ610000000000000000000000000000000000000000
χ1354-4−4i4i000000−1−5−1+52i2−2i2−22222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−5−2ζ11+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+2ζ792ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ12+2ζ28−2ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ44+2ζ76−2ζ44−2ζ76−2ζ44+2ζ762ζ44−2ζ7600000000000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ42+ζ58+ζ62+ζ78−ζ42−ζ58−ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78ζ14+ζ26+ζ46+ζ74−ζ14−ζ26−ζ46−ζ74−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+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+ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ610000000000000000000000000000000000000000
χ1364-4−4i4i000000−1−5−1+52i2−2i2−22222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−52ζ11−2ζ13+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+2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ79−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ772ζ12+2ζ28−2ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ44+2ζ76−2ζ44−2ζ76−2ζ44+2ζ762ζ44−2ζ7600000000000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ42+ζ58+ζ62+ζ78−ζ42−ζ58−ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78ζ14+ζ26+ζ46+ζ74−ζ14−ζ26−ζ46−ζ74−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−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−ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ610000000000000000000000000000000000000000
χ1374-4−4i4i000000−1−5−1+5−2i22i222−22−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−52ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ12+2ζ28−2ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ44+2ζ76−2ζ44−2ζ762ζ44−2ζ76−2ζ44+2ζ7600000000000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74−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+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+ζ73−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77−ζ13−ζ27+ζ43+ζ77ζ13+ζ27−ζ43−ζ77−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ790000000000000000000000000000000000000000
χ1384-4−4i4i000000−1−5−1+5−2i22i222−22−2ζ8+2ζ722ζ8−2ζ72−2ζ24+2ζ562ζ24−2ζ561+51−5−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+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+2ζ792ζ12+2ζ28−2ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ44+2ζ76−2ζ44−2ζ762ζ44−2ζ76−2ζ44+2ζ7600000000000000ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74−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+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−ζ73ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77ζ13+ζ27−ζ43−ζ77−ζ13−ζ27+ζ43+ζ77ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ790000000000000000000000000000000000000000
χ1394-4−4i4i000000−1−5−1+5−2i22i222−222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−52ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ79−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ79−2ζ11+2ζ13−2ζ27+2ζ29−2ζ43−2ζ59+2ζ61+2ζ772ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ12+2ζ28−2ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ44+2ζ76−2ζ44−2ζ76−2ζ44+2ζ762ζ44−2ζ7600000000000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ42−ζ58−ζ62−ζ78ζ42+ζ58+ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78−ζ14−ζ26−ζ46−ζ74ζ14+ζ26+ζ46+ζ74ζ14−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+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−ζ79−ζ9−ζ31+ζ41+ζ79ζ9+ζ31−ζ41−ζ79ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61−ζ11−ζ29+ζ59+ζ61ζ11+ζ29−ζ59−ζ61−ζ13−ζ27−ζ43−ζ77ζ13+ζ27+ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ47−ζ57−ζ63−ζ73ζ47+ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ11−ζ29−ζ59−ζ61ζ11+ζ29+ζ59+ζ61ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ9−ζ31−ζ41−ζ79ζ9+ζ31+ζ41+ζ79ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ790000000000000000000000000000000000000000
χ1404-4−4i4i000000−1−5−1+5−2i22i222−222ζ8−2ζ72−2ζ8+2ζ722ζ24−2ζ56−2ζ24+2ζ561+51−5−2ζ9+2ζ31−2ζ41+2ζ47−2ζ57+2ζ63−2ζ73+2ζ792ζ9−2ζ31+2ζ41−2ζ47+2ζ57−2ζ63+2ζ73−2ζ792ζ11−2ζ13+2ζ27−2ζ29+2ζ43+2ζ59−2ζ61−2ζ77−2ζ11+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+2ζ792ζ12+2ζ28−2ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ44+2ζ76−2ζ44−2ζ76−2ζ44+2ζ762ζ44−2ζ7600000000000000−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ42−ζ58−ζ62−ζ78ζ42+ζ58+ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78−ζ14−ζ26−ζ46−ζ74ζ14+ζ26+ζ46+ζ74ζ14−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−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+ζ79ζ9+ζ31−ζ41−ζ79−ζ9−ζ31+ζ41+ζ79−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61ζ11+ζ29−ζ59−ζ61−ζ11−ζ29+ζ59+ζ61ζ13+ζ27+ζ43+ζ77−ζ13−ζ27−ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ47+ζ57+ζ63+ζ73−ζ47−ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ11+ζ29+ζ59+ζ61−ζ11−ζ29−ζ59−ζ61−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ9+ζ31+ζ41+ζ79−ζ9−ζ31−ζ41−ζ79−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ790000000000000000000000000000000000000000

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