Finite Group Databasebeta

← Group #12019739

Character table — Group #12019739

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111122222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444416161616161616161616161616161616161616162020202020202020202020202020202080808080
order12222244445588881010101010101616161616161616202020202020202088101010101616161620202020404040404040404040404040404040408080808080808080808080808080808080808080808080808080808080808080224410101010101010102020202020202020323232323232323232323232323232324444
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
χ51111-1-11-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111-1-11-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ71111-1-11-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111-1-11-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91-11-11-1-11-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i
χ101-11-11-1-11-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii
χ111-11-11-1-11-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−ii−ii
χ121-11-11-1-11-1111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiii−ii−i
χ131-11-1-11-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i−ii
χ141-11-1-11-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−iii−i
χ151-11-1-11-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i
χ161-11-1-11-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii
χ172222222222222222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ18222222222222-2-2-2-22222220000000022222222-2-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000022−2−222−2−222−2−222−2−20000
χ19222222222222-2-2-2-22222220000000022222222-2-2222200002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000−2−222−2−222−2−222−2−2220000
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+52−1−52−1−52−1−52−1−522222−1+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
χ212222222222−1+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
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+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
χ232222222222−1+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+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
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+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
χ252222222222−1−52−1+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
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+521−521−521−521−520000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ5600000000000000000000
χ272222222222−1−52−1+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+521−521−521−521−520000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ5600000000000000000000
χ28222222-2-2-2-222000022222222−2−222−2−2-2-2-2-2-2-2-2-20022222−22−2-2-2-2-2000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−200000000000000000000ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−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−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−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−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ770000
χ29222222-2-2-2-222000022222222−2−222−2−2-2-2-2-2-2-2-2-20022222−22−2-2-2-2-2000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−200000000000000000000−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−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−ζ79ζ11−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−ζ79ζ11−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−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ770000
χ30222222-2-2-2-2220000222222−2−222−2−222-2-2-2-2-2-2-2-2002222−22−22-2-2-2-20000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−22200000000000000000000−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−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−ζ77−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−ζ77−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−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ790000
χ31222222-2-2-2-2220000222222−2−222−2−222-2-2-2-2-2-2-2-2002222−22−22-2-2-2-20000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−22200000000000000000000ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−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+ζ77ζ9−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+ζ77ζ9−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+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ790000
χ322222-2-22-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000000000000000000
χ332222-2-22-2-2222-2-2-2-222222200000000-2-2-2-2-2-2-2-222-2-2-2-200002222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000000022−2−222−2−2−2−222−2−2220000
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χ1364-4-44000000−1−5−1+522−22−22221+5−1−51−5−1+51+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+2ζ79−2ζ11+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+2ζ73−2ζ79−2ζ12+2ζ282ζ12−2ζ28−2ζ44+2ζ762ζ44−2ζ762ζ12−2ζ28−2ζ12+2ζ282ζ44−2ζ76−2ζ44+2ζ7600000000000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74ζ42−ζ58+ζ62−ζ78−ζ42+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−ζ77ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ790000000000000000000000000000000000000000
χ1374-4-44000000−1−5−1+5−222222−221+5−1−51−5−1+51+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+2ζ59−2ζ61−2ζ77−2ζ9+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+2ζ282ζ44−2ζ76−2ζ44+2ζ76−2ζ12+2ζ282ζ12−2ζ28−2ζ44+2ζ762ζ44−2ζ7600000000000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74ζ42−ζ58+ζ62−ζ78−ζ42+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−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ610000000000000000000000000000000000000000
χ1384-4-44000000−1−5−1+5−222222−221+5−1−51−5−1+51+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+2ζ59−2ζ61−2ζ77−2ζ9+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+2ζ77−2ζ12+2ζ282ζ12−2ζ28−2ζ44+2ζ762ζ44−2ζ762ζ12−2ζ28−2ζ12+2ζ282ζ44−2ζ76−2ζ44+2ζ7600000000000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−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−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61−ζ47+ζ57−ζ63+ζ73ζ47−ζ57+ζ63−ζ73ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ610000000000000000000000000000000000000000
χ1394-4-44000000−1−5−1+5−222222−221+5−1−51−5−1+51+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+2ζ772ζ9−2ζ31+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+2ζ282ζ44−2ζ76−2ζ44+2ζ76−2ζ12+2ζ282ζ12−2ζ28−2ζ44+2ζ762ζ44−2ζ7600000000000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42+ζ58−ζ62+ζ78ζ42−ζ58+ζ62−ζ78−ζ14+ζ26+ζ46−ζ74ζ14−ζ26−ζ46+ζ74ζ42−ζ58+ζ62−ζ78−ζ42+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−ζ73ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ61−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ610000000000000000000000000000000000000000
χ1404-4-44000000−1−5−1+5−222222−221+5−1−51−5−1+51+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+2ζ772ζ9−2ζ31+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+2ζ59−2ζ61−2ζ77−2ζ12+2ζ282ζ12−2ζ28−2ζ44+2ζ762ζ44−2ζ762ζ12−2ζ28−2ζ12+2ζ282ζ44−2ζ76−2ζ44+2ζ7600000000000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ42−ζ58+ζ62−ζ78−ζ42+ζ58−ζ62+ζ78ζ14−ζ26−ζ46+ζ74−ζ14+ζ26+ζ46−ζ74−ζ42+ζ58−ζ62+ζ78ζ42−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−ζ73ζ13−ζ27−ζ43+ζ77−ζ13+ζ27+ζ43−ζ77ζ9−ζ31+ζ41−ζ79−ζ9+ζ31−ζ41+ζ79−ζ11+ζ29−ζ59+ζ61ζ11−ζ29+ζ59−ζ61ζ47−ζ57+ζ63−ζ73−ζ47+ζ57−ζ63+ζ73−ζ13+ζ27+ζ43−ζ77ζ13−ζ27−ζ43+ζ77−ζ9+ζ31−ζ41+ζ79ζ9−ζ31+ζ41−ζ79ζ11−ζ29+ζ59−ζ61−ζ11+ζ29−ζ59+ζ61−ζ47−ζ57+ζ63+ζ73ζ47+ζ57−ζ63−ζ73−ζ13+ζ27−ζ43+ζ77ζ13−ζ27+ζ43−ζ77−ζ9+ζ31+ζ41−ζ79ζ9−ζ31−ζ41+ζ79−ζ11+ζ29+ζ59−ζ61ζ11−ζ29−ζ59+ζ61ζ47+ζ57−ζ63−ζ73−ζ47−ζ57+ζ63+ζ73ζ13−ζ27+ζ43−ζ77−ζ13+ζ27−ζ43+ζ77ζ9−ζ31−ζ41+ζ79−ζ9+ζ31+ζ41−ζ79ζ11−ζ29−ζ59+ζ61−ζ11+ζ29+ζ59−ζ610000000000000000000000000000000000000000

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