Finite Group Databasebeta

← Group #13105394

Character table — Group #13105394

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121
size111122222222222222224444444444444444444444444448888888888888888888888888888888810101010101010102020202020202020202020202020202020202020404040404040404050505050100100
order12225555101010101010101010101010244555510101010101010101010101020202020202020201010101010101010101010102020202020202020202020202020202020202020222244444444101010101010101020202020202020202020202020202020444424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-11-11-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ6111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ7111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1
χ8111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ911111111111111111111-11-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-111-1-11-1
χ1011111111111111111111-11-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-11
χ1111111111111111111111-11-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11
χ1211111111111111111111-11-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-11-1
χ1311111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-11-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1
χ1411111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-11
χ1511111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111111-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-11
χ1611111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111-1
χ17222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520022002202020000−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−5200−1+52−1−5200−1+52−1−52000000
χ18222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-200-2-20-20-200001−521−521+521+5200001−521−521+521+52001−521+52001−521+52000000
χ19222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−522-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52002200-2-2020-20000−1+52−1+52−1−52−1−5200001−521−521+521+52001−521+5200−1+52−1−52000000
χ20222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−522-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200-2-200220-20200001−521−521+521+520000−1+52−1+52−1−52−1−5200−1+52−1−52001−521+52000000
χ21222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222221−521−521+521+52-2-21−521+521−521−521−521−521+521+521+521+52−1+52−1−52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52002200-2-20-2020000−1+52−1+52−1−52−1−5200001−521−521+521+5200−1+52−1−52001−521+52000000
χ22222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222221−521−521+521+52-2-21−521+521−521−521−521−521+521+521+521+52−1+52−1−52-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200-2-20022020-200001−521−521+521+520000−1+52−1+52−1−52−1−52001−521+5200−1+52−1−52000000
χ23222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+521−521+52221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002200220-20-20000−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−52001−521+52001−521+52000000
χ24222222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+521−521+52221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-200-2-2020200001−521−521+521+5200001−521−521+521+5200−1+52−1−5200−1+52−1−52000000
χ25222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52222−1−52−1−52−1+52−1+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+5222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520022002202020000−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+5200−1−52−1+5200−1−52−1+52000000
χ26222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52222−1−52−1−52−1+52−1+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+5222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-200-2-20-20-200001+521+521−521−5200001+521+521−521−52001+521−52001+521−52000000
χ27222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+522-2-2−1−52−1−52−1+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+52-2-2-2-21+521+521−521−5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52002200-2-2020-20000−1−52−1−52−1+52−1+5200001+521+521−521−52001+521−5200−1−52−1+52000000
χ28222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+522-2-2−1−52−1−52−1+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+52-2-2-2-21+521+521−521−5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200-2-200220-20200001+521+521−521−520000−1−52−1−52−1+52−1+5200−1−52−1+52001+521−52000000
χ29222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52-22-2−1−52−1−52−1+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+5222221+521+521−521−52-2-21+521−521+521+521+521+521−521−521−521−52−1−52−1+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52002200-2-20-2020000−1−52−1−52−1+52−1+5200001+521+521−521−5200−1−52−1+52001+521−52000000
χ30222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52-22-2−1−52−1−52−1+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+5222221+521+521−521−52-2-21+521−521+521+521+521+521−521−521−521−52−1−52−1+52-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200-2-20022020-200001+521+521−521−520000−1−52−1−52−1+52−1+52001+521−5200−1−52−1+52000000
χ31222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52-2-22−1−52−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−521+521−52221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002200220-20-20000−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+52001+521−52001+521−52000000
χ32222222−1−52−1+5222−1−52−1+5222−1−52−1+5222−1−52−1+52-2-22−1−52−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−521+521−52221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-200-2-2020200001+521+521−521−5200001+521+521−521−5200−1−52−1+5200−1−52−1+52000000
χ332222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52220022002020−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−520000−1+52−1−5200−1+52−1−5200000000
χ342222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-200-2-200-20-201−521−521+521+5200001−521−521+521+5200001−521+52001−521+5200000000
χ352222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52222-2-2−1+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+52−1−52−1−521−521−521+521+52-2-2-2-2−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+522200-2-20020-20−1+52−1+52−1−52−1−5200001−521−521+521+5200001−521+5200−1+52−1−5200000000
χ362222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−52222-2-2−1+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+52−1−52−1−521−521−521+521+52-2-2-2-2−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-2-2002200-20201−521−521+521+520000−1+52−1+52−1−52−1−520000−1+52−1−52001−521+5200000000
χ372222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222-22-2−1+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+52−1−52−1−52-2-2-2-21−521+52-2-21−521−521+521+521−521−521+521+52221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222002200-20-20−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−5200001−521+52001−521+5200000000
χ382222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222-22-2−1+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+52−1−52−1−52-2-2-2-21−521+52-2-21−521−521+521+521−521−521+521+52221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52-2-200-2-20020201−521−521+521+5200001−521−521+521+520000−1+52−1−5200−1+52−1−5200000000
χ392222−1+52−1−5222−1+52−1−5222−1+52−1−5222−1+52−1−5222-2-22−1+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+52−1−52−1−521−521−521+521+5222221−521+52-2-21−521−521+521+521−521−521+521+52-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522200-2-200-2020−1+52−1+52−1−52−1−5200001−521−521+521+520000−1+52−1−52001−521+5200000000
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χ834-44-444−1−5−1+5-4-4−1−5−1+5-4-41+51−5441+51−5000−1−5−1−5−1+5−1+51+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000004i−4i0000000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000
χ844-44-444−1−5−1+5-4-4−1−5−1+5-4-41+51−5441+51−5000−1−5−1−5−1+5−1+51+51+51−51−51+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000000000−4i4i00000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ1900000000000000
χ854-44-4−1+5−1−5441−51+5441−51+5-4-4−1+5−1−5-4-4000−1+5−1−5−1+5−1−51−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−500000000000000000000000000000000000000004-40000000000−1+51−5−1−51+500000000000000000000000000
χ864-44-4−1+5−1−5441−51+5441−51+5-4-4−1+5−1−5-4-4000−1+5−1−5−1+5−1−51−51+51−51+51−5−1+51+5−1−51−5−1+51+5−1−50000000000000000000000000000000000000000-4400000000001−5−1+51+5−1−500000000000000000000000000
χ874-44-4−1−5−1+5441+51−5441+51−5-4-4−1−5−1+5-4-4000−1−5−1+5−1−5−1+51+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+500000000000000000000000000000000000000004-40000000000−1−51+5−1+51−500000000000000000000000000
χ884-44-4−1−5−1+5441+51−5441+51−5-4-4−1−5−1+5-4-4000−1−5−1+5−1−5−1+51+51−51+51−51+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000-4400000000001+5−1−51−5−1+500000000000000000000000000
χ894-4-444444-4-4-4-44444-4-4-4-400044444444-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-4-4444−1+5−1−5-4-41−51+544−1+5−1−5-4-41−51+5000−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+50000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000000000
χ914-4-4444−1+5−1−5-4-41−51+544−1+5−1−5-4-41−51+5000−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+500002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000000000000000000000002ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000000000
χ924-4-4444−1−5−1+5-4-41+51−544−1−5−1+5-4-41+51−5000−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−500002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000000000
χ934-4-4444−1−5−1+5-4-41+51−544−1−5−1+5-4-41+51−5000−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−50000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000000000
χ944-4-44−1+5−1−5441−51+5-4-4−1+5−1−5441−51+5-4-4000−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000000000000000000000000000000000
χ954-4-44−1+5−1−5441−51+5-4-4−1+5−1−5441−51+5-4-4000−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000000000000000000000000000000000
χ964-4-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+51−51+50003−52-1-13+523−52-1-13+52−3+52−3+521111−3−52−3−52−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700005+52−5−525−55−55−52−5+520000ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ11−ζ19−ζ11+ζ19000000000000000000000000000000000000000000
χ974-4-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+51−51+50003−52-1-13+523−52-1-13+52−3+52−3+521111−3−52−3−52−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000−5−525+52−55−55−5+525−520000ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19000000000000000000000000000000000000000000
χ984-4-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+51−51+50003−52-1-13+523−52-1-13+52−3+52−3+521111−3−52−3−522ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000−5−525+52−55−55−5+525−520000−ζ3+ζ7ζ3−ζ7ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ11−ζ19−ζ11+ζ19000000000000000000000000000000000000000000
χ994-4-44−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−51−51+51−51+50003−52-1-13+523−52-1-13+52−3+52−3+521111−3−52−3−522ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700005+52−5−525−55−55−52−5+520000−ζ3+ζ7ζ3−ζ7ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19000000000000000000000000000000000000000000
χ1004-4-44−1+5−1−5−1−5−1+51−51+51+51−5−1+5−1−5−1−5−1+51−51+51+51−5000-13+523−52-1-13+523−52-111−3−52−3−52−3+52−3+5211−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900005−55−52−5+52−5−525+52−550000−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19000000000000000000000000000000000000000000
χ1014-4-44−1+5−1−5−1−5−1+51−51+51+51−5−1+5−1−5−1−5−1+51−51+51+51−5000-13+523−52-1-13+523−52-111−3−52−3−52−3+52−3+5211−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000−55−5+525−525+52−5−525−50000−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19000000000000000000000000000000000000000000
χ1024-4-44−1+5−1−5−1−5−1+51−51+51+51−5−1+5−1−5−1−5−1+51−51+51+51−5000-13+523−52-1-13+523−52-111−3−52−3−52−3+52−3+52112ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000−55−5+525−525+52−5−525−50000ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19000000000000000000000000000000000000000000
χ1034-4-44−1+5−1−5−1−5−1+51−51+51+51−5−1+5−1−5−1−5−1+51−51+51+51−5000-13+523−52-1-13+523−52-111−3−52−3−52−3+52−3+52112ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900005−55−52−5+52−5−525+52−550000ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19000000000000000000000000000000000000000000
χ1044-4-44−1−5−1+5441+51−5-4-4−1−5−1+5441+51−5-4-4000−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000000000000000000000000000000000
χ1054-4-44−1−5−1+5441+51−5-4-4−1−5−1+5441+51−5-4-4000−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000000000000000000000000000000000
χ1064-4-44−1−5−1+5−1+5−1−51+51−51−51+5−1−5−1+5−1+5−1−51+51−51−51+5000-13−523+52-1-13−523+52-111−3+52−3+52−3−52−3−52112ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700005−5−5−525+525−52−5+52−550000−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19000000000000000000000000000000000000000000
χ1074-4-44−1−5−1+5−1+5−1−51+51−51−51+5−1−5−1+5−1+5−1−51+51−51−51+5000-13−523+52-1-13−523+52-111−3+52−3+52−3−52−3−52112ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000−555+52−5−52−5+525−525−50000−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19000000000000000000000000000000000000000000
χ1084-4-44−1−5−1+5−1+5−1−51+51−51−51+5−1−5−1+5−1+5−1−51+51−51−51+5000-13−523+52-1-13−523+52-111−3+52−3+52−3−52−3−5211−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000−555+52−5−52−5+525−525−50000ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19000000000000000000000000000000000000000000
χ1094-4-44−1−5−1+5−1+5−1−51+51−51−51+5−1−5−1+5−1+5−1−51+51−51−51+5000-13−523+52-1-13−523+52-111−3+52−3+52−3−52−3−5211−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700005−5−5−525+525−52−5+52−550000ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19000000000000000000000000000000000000000000
χ1104-4-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−51+51−50003+52-1-13−523+52-1-13−52−3−52−3−521111−3+52−3+522ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900005−52−5+52−55−555+52−5−520000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7ζ3−ζ7000000000000000000000000000000000000000000
χ1114-4-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−51+51−50003+52-1-13−523+52-1-13−52−3−52−3−521111−3+52−3+522ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000−5+525−525−55−5−5−525+520000ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000000000000000000000000000000000000000000
χ1124-4-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−51+51−50003+52-1-13−523+52-1-13−52−3−52−3−521111−3+52−3+52−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000−5+525−525−55−5−5−525+520000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19−ζ3+ζ7ζ3−ζ7000000000000000000000000000000000000000000
χ1134-4-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+51+51−51+51−50003+52-1-13−523+52-1-13−52−3−52−3−521111−3+52−3+52−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900005−52−5+52−55−555+52−5−520000−ζ11+ζ19ζ11−ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7+ζ11−ζ19−ζ3+ζ7−ζ11+ζ19−ζ3+ζ7+ζ11−ζ19ζ3−ζ7−ζ11+ζ19ζ3−ζ7−ζ3+ζ7000000000000000000000000000000000000000000
χ11488-8-8−2+25−2−25−2+25−2−25−2+25−2−252−252+252−252+252−252+252−252+25−2+25−2−250003−5-2-23+5−3+522−3−53−5−3+5-22-223+5−3−50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8−2+25−2−25−2−25−2+25−2+25−2−252+252−252−252+252+252−252−252+25−2−25−2+25000-23+53−5-22−3−5−3+52-223+5−3−53−5−3+5-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8−2−25−2+25−2+25−2−25−2−25−2+252−252+252+252−252−252+252+252−25−2+25−2−25000-23−53+5-22−3+5−3−52-223−5−3+53+5−3−5-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8−2−25−2+25−2−25−2+25−2−25−2+252+252−252+252−252+252−252+252−25−2−25−2+250003+5-2-23−5−3−522−3+53+5−3−5-22-223−5−3+50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8−2+25−2−25−2+25−2−252−252+25−2+25−2−252−252+252−252+25−2+25−2−252−252+250003−5-2-23+5−3+522−3−5−3+53−52-22-2−3−53+50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8−2+25−2−25−2−25−2+252−252+25−2−25−2+252−252+252+252−25−2+25−2−252+252−25000-23+53−5-22−3−5−3+522-2−3−53+5−3+53−52-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8−2−25−2+25−2+25−2−252+252−25−2+25−2−252+252−252−252+25−2−25−2+252−252+25000-23−53+5-22−3+5−3−522-2−3+53−5−3−53+52-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8−2−25−2+25−2−25−2+252+252−25−2−25−2+252+252−252+252−25−2−25−2+252+252−250003+5-2-23−5−3−522−3+5−3−53+52-22-2−3+53−50000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.