Finite Group Databasebeta

← Group #13171913

Character table — Group #13171913

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222222222224444444444444444444444446666666666666666888888888812121212121212121212121212121212121212121212121212121212121212121212121212121818242424243636363636363636363636363636363636108108
order1222223336666666666666333666666666666666666666444444441212121212121212366666666644121212121212121212121212121212121212121212121212121212121212121212121212441212121224444661212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111-11111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1111111-1-111-1-1-1-11111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-1
χ91111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-111111111111-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-11111-1-111-1-1-11
χ101111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-1-111-1-1-1-1111-1
χ111111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-11111111111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-11-111-1-1-1-11111-1-11-1
χ121111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11-1-1111-1-1-1-1-11-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1111-1-1-111-1-111-1-111-11
χ131111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111-1-1111-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1111-1-1-111-1-111-1-1111-1
χ141111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-11-1-11-111-1-1-1-11111-1-1-11
χ151111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-1-111-11
χ161111-1-11111-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-1-11111-1-111-1-11-1
χ1722222222-122222-122-1-12222-1-122-1-122-1-1-12222-1-1-1-1-1-12-1002222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-102-1-1002222-1-1-1-12222000000000000-1-1-1-1-1-1-1-100-1-1-1-120200-1-1-1-10000000000
χ1822222222-122222-122-1-12222-1-122-1-122-1-1-12222-1-1-1-1-1-12-1002222-2-200001111-1-1-1-1-1-1-1-1-1-10-2-1-100-2-2-2-2-1-11122220000000000001111111100-1-1-1-1-20-20011110000000000
χ1922222222-122222-122-1-12222-1-122-1-122-1-1-12222-1-1-1-1-1-12-100-2-2-2-2220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1021100222211-1-1-2-2-2-2000000000000-1-1-1-1-1-1-1-1001111-20-20011110000000000
χ2022222222-122222-122-1-12222-1-122-1-122-1-1-12222-1-1-1-1-1-12-100-2-2-2-2-2-200001111-1-1-1-1-1-1-1-1-1-10-21100-2-2-2-21111-2-2-2-20000000000001111111100111120200-1-1-1-10000000000
χ212222222-122222222-122-1-12-12-1-1-122-1-122-1-1-1-1-12222-1-1-1222222200-1-1-1-10000-1-1-1-1-1-1-1-1-1-12022-1-100002200-1-1-1-12222-1-1-1-1-1-1-1-10000000000-1-1-1-1000220000-1-1-1-1000000
χ222222222-122222222-122-1-12-12-1-1-122-1-122-1-1-1-1-12222-1-1-1222-2-2-2-200-1-1-1-10000-1-1-1-1-1-1-1-1-1-120-2-2-1-10000-2-20011112222-1-1-1-1-1-1-1-100000000001111000-2-200001111000000
χ232222222-122222222-122-1-12-12-1-1-122-1-122-1-1-1-1-12222-1-1-12-2-222220011110000-1-1-1-1-1-1-1-1-1-1-20221100002200-1-1-1-1-2-2-2-2111111110000000000-1-1-1-1000-2-200001111000000
χ242222222-122222222-122-1-12-12-1-1-122-1-122-1-1-1-1-12222-1-1-12-2-2-2-2-2-20011110000-1-1-1-1-1-1-1-1-1-1-20-2-2110000-2-2001111-2-2-2-21111111100000000001111000220000-1-1-1-1000000
χ25222222-122-1-1-1-1-12-122222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-12200002222222222-122-1-1-1-1-1-1-1220022-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000200000000000-1-1-1-100
χ26222222-122-1-1-1-1-12-122222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-1220000-2-22222-2-2-2-2-122-1-1-1-1-1-1-12-20022111100-2-20000-1-1-1-1-1-1-1-1-1-1-1-111111111-2-200000-200000000000111100
χ27222222-122-1-1-1-1-12-122222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-1-2-2000022-2-2-2-22222-122-1-1-1-1-1-1-1-2200-2-2-1-1-1-100220000111111111111-1-1-1-1-1-1-1-1-2-200000-200000000000111100
χ28222222-122-1-1-1-1-12-122222-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-1-2-20000-2-2-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-2-200-2-2111100-2-20000111111111111111111112200000200000000000-1-1-1-100
χ292222-2-222-12-2-2-2-2-122-1-12222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-10022-2-2220000-1-1-1-1-111-1-1-111110-2-1-10022-2-2111122-2-2000000000000-1-1-1-1111100-1-111-2020011-1-10000000000
χ302222-2-222-12-2-2-2-2-122-1-12222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-10022-2-2-2-200001111-111-1-1-1111102-1-100-2-22211-1-122-2-20000000000001111-1-1-1-100-1-11120-200-1-1110000000000
χ312222-2-222-12-2-2-2-2-122-1-12222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-100-2-222220000-1-1-1-1-111-1-1-111110-2110022-2-2-1-111-2-222000000000000-1-1-1-111110011-1-120-200-1-1110000000000
χ322222-2-222-12-2-2-2-2-122-1-12222-1-1-2-21122-1-1-1-2-2-2-21111-1-12-100-2-222-2-200001111-111-1-1-11111021100-2-222-1-1-1-1-2-2220000000000001111-1-1-1-10011-1-1-2020011-1-10000000000
χ332222-2-22-122-2-2-2-222-122-1-12-12-111-2-2-1-122-11111-2-2-2-2-1-1-122222-2-200-1-1-1-10000-111-1-1-11111-2022110000-2-200-1-11122-2-2-1-1-1-111110000000000-1-111000-220000-1-111000000
χ342222-2-22-122-2-2-2-222-122-1-12-12-111-2-2-1-122-11111-2-2-2-2-1-1-1222-2-22200-1-1-1-10000-111-1-1-11111-20-2-2110000220011-1-122-2-2-1-1-1-11111000000000011-1-10002-2000011-1-1000000
χ352222-2-22-122-2-2-2-222-122-1-12-12-111-2-2-1-122-11111-2-2-2-2-1-1-12-2-222-2-20011110000-111-1-1-111112022-1-10000-2-200-1-111-2-2221111-1-1-1-10000000000-1-1110002-2000011-1-1000000
χ362222-2-22-122-2-2-2-222-122-1-12-12-111-2-2-1-122-11111-2-2-2-2-1-1-12-2-2-2-2220011110000-111-1-1-1111120-2-2-1-10000220011-1-1-2-2221111-1-1-1-1000000000011-1-1000-220000-1-111000000
χ372222-2-2-122-111112-122222-1-1-12-2-2-2-2-1-1-1-121111111122-1-12200002222222222-1-2-2-1-1-11111-2-200-2-2-1-11100-2-20000-1-111-1-1-1-11111-1-1-1-111112200000-200000000000-1-11100
χ382222-2-2-122-111112-122222-1-1-12-2-2-2-2-1-1-1-121111111122-1-1220000-2-22222-2-2-2-2-1-2-2-1-1-11111-2200-2-211-1-100220000-1-111-1-1-1-111111111-1-1-1-1-2-20000020000000000011-1-100
χ392222-2-2-122-111112-122222-1-1-12-2-2-2-2-1-1-1-121111111122-1-1-2-2000022-2-2-2-22222-1-2-2-1-1-111112-20022-1-11100-2-2000011-1-11111-1-1-1-1-1-1-1-11111-2-20000020000000000011-1-100
χ402222-2-2-122-111112-122222-1-1-12-2-2-2-2-1-1-1-121111111122-1-1-2-20000-2-2-2-2-2-2-2-2-2-2-1-2-2-1-1-1111122002211-1-10022000011-1-11111-1-1-1-11111-1-1-1-12200000-200000000000-1-11100
χ4122-2-22-2222-222-2-2-2-222-2-2-222222-22-2-2-22-2222-2-222-2-2-2-22-2002i−2i2i−2i000000000022-22-2-222-2-2002i−2i0000002i−2i002i−2i2i−2i00000000000000000000002i−2i2i−2i0000000000000000000
χ4222-2-22-2222-222-2-2-2-222-2-2-222222-22-2-2-22-2222-2-222-2-2-2-22-200−2i2i−2i2i000000000022-22-2-222-2-200−2i2i000000−2i2i00−2i2i−2i2i0000000000000000000000−2i2i−2i2i0000000000000000000
χ4322-2-22-222-1-222-2-21-22-11-2-222-1-12-2-11-2-2-11-122-2-2-1-1111121002i−2i2i−2i00000033−3−3-1-11-111-1-11100−ii000000−ii3−32i−2i2i−2i00000000000033−3−333−3−300−ii−ii00000−i3i3−i3i30000000000
χ4422-2-22-222-1-222-2-21-22-11-2-222-1-12-2-11-2-2-11-122-2-2-1-1111121002i−2i2i−2i000000−3−333-1-11-111-1-11100−ii000000−ii−332i−2i2i−2i000000000000−3−333−3−33300−ii−ii00000i3−i3i3−i30000000000
χ4522-2-22-222-1-222-2-21-22-11-2-222-1-12-2-11-2-2-11-122-2-2-1-111112100−2i2i−2i2i00000033−3−3-1-11-111-1-11100i−i000000i−i3−3−2i2i−2i2i00000000000033−3−333−3−300i−ii−i00000i3−i3i3−i30000000000
χ4622-2-22-222-1-222-2-21-22-11-2-222-1-12-2-11-2-2-11-122-2-2-1-111112100−2i2i−2i2i000000−3−333-1-11-111-1-11100i−i000000i−i−33−2i2i−2i2i000000000000−3−333−3−33300i−ii−i00000−i3i3−i3i30000000000
χ4722-2-22-22-12-222-2-2-2-2-12-2112-12-1-112-2112-2-1-1-11122-2-211-1-2002i−2i2i−2i00−i3−i3i3i30000-1-11-111-1-111002i−2i−i3i300002i−2i00−ii−ii0000−i3−i3i3i3−i3−i3i3i30000000000−ii−ii0000000003−33−3000000
χ4822-2-22-22-12-222-2-2-2-2-12-2112-12-1-112-2112-2-1-1-11122-2-211-1-2002i−2i2i−2i00i3i3−i3−i30000-1-11-111-1-111002i−2ii3−i300002i−2i00−ii−ii0000i3i3−i3−i3i3i3−i3−i30000000000−ii−ii000000000−33−33000000
χ4922-2-22-22-12-222-2-2-2-2-12-2112-12-1-112-2112-2-1-1-11122-2-211-1-200−2i2i−2i2i00−i3−i3i3i30000-1-11-111-1-11100−2i2i−i3i30000−2i2i00i−ii−i0000−i3−i3i3i3−i3−i3i3i30000000000i−ii−i000000000−33−33000000
χ5022-2-22-22-12-222-2-2-2-2-12-2112-12-1-112-2112-2-1-1-11122-2-211-1-200−2i2i−2i2i00i3i3−i3−i30000-1-11-111-1-11100−2i2ii3−i30000−2i2i00i−ii−i0000i3i3−i3−i3i3i3−i3−i30000000000i−ii−i0000000003−33−3000000
χ5122-2-2-22222-2-2-222-2-222-2-2-22222-22-22-2-22-22-2-222-2-222-2-22-2002i−2i−2i2i00000000002-222-2-2-2-222002i−2i000000−2i2i002i−2i−2i2i00000000000000000000002i−2i−2i2i0000000000000000000
χ5222-2-2-22222-2-2-222-2-222-2-2-22222-22-22-2-22-22-2-222-2-222-2-22-200−2i2i2i−2i00000000002-222-2-2-2-22200−2i2i0000002i−2i00−2i2i2i−2i0000000000000000000000−2i2i2i−2i0000000000000000000
χ5322-2-2-2222-1-2-2-2221-22-11-2-222-1-1-221-1-2-2-11-1-2-22211-1-11121002i−2i−2i2i00000033−3−3-11-1-11111-1-100−ii000000i−i−332i−2i−2i2i00000000000033−3−3−3−33300−iii−i00000i3−i3−i3i30000000000
χ5422-2-2-2222-1-2-2-2221-22-11-2-222-1-1-221-1-2-2-11-1-2-22211-1-11121002i−2i−2i2i000000−3−333-11-1-11111-1-100−ii000000i−i3−32i−2i−2i2i000000000000−3−33333−3−300−iii−i00000−i3i3i3−i30000000000
χ5522-2-2-2222-1-2-2-2221-22-11-2-222-1-1-221-1-2-2-11-1-2-22211-1-1112100−2i2i2i−2i00000033−3−3-11-1-11111-1-100i−i000000−ii−33−2i2i2i−2i00000000000033−3−3−3−33300i−i−ii00000−i3i3i3−i30000000000
χ5622-2-2-2222-1-2-2-2221-22-11-2-222-1-1-221-1-2-2-11-1-2-22211-1-1112100−2i2i2i−2i000000−3−333-11-1-11111-1-100i−i000000−ii3−3−2i2i2i−2i000000000000−3−33333−3−300i−i−ii00000i3−i3−i3i30000000000
χ5722-2-2-222-12-2-2-222-2-2-12-2112-12-11-1-22112-2-111-1-1-2-22211-1-2002i−2i−2i2i00−i3−i3i3i30000-11-1-11111-1-1002i−2ii3−i30000−2i2i00−iii−i0000−i3−i3i3i3i3i3−i3−i30000000000−iii−i0000000003−3−33000000
χ5822-2-2-222-12-2-2-222-2-2-12-2112-12-11-1-22112-2-111-1-1-2-22211-1-2002i−2i−2i2i00i3i3−i3−i30000-11-1-11111-1-1002i−2i−i3i30000−2i2i00−iii−i0000i3i3−i3−i3−i3−i3i3i30000000000−iii−i000000000−333−3000000
χ5922-2-2-222-12-2-2-222-2-2-12-2112-12-11-1-22112-2-111-1-1-2-22211-1-200−2i2i2i−2i00−i3−i3i3i30000-11-1-11111-1-100−2i2ii3−i300002i−2i00i−i−ii0000−i3−i3i3i3i3i3−i3−i30000000000i−i−ii000000000−333−3000000
χ6022-2-2-222-12-2-2-222-2-2-12-2112-12-11-1-22112-2-111-1-1-2-22211-1-200−2i2i2i−2i00i3i3−i3−i30000-11-1-11111-1-100−2i2i−i3i300002i−2i00i−i−ii0000i3i3−i3−i3−i3−i3i3i30000000000i−i−ii0000000003−3−33000000
χ612-2-2200222-20000-22-2-222-2-222200002-2-2-2-2000000002-2-222i−2i00002-22i−2i2i−2i2-22-2200-22-200000000002-200000000002i−2i002i−2i2i−2i00002-22-200002i−2i000000000000000002i−2i0000
χ622-2-2200222-20000-22-2-222-2-222200002-2-2-2-2000000002-2-222i−2i0000-222i−2i2i−2i-22-22200-22-20000000000-2200000000002i−2i002i−2i2i−2i0000-22-220000−2i2i00000000000000000−2i2i0000
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χ78444444-2-24-2-2-2-2-24-2-244-2-2-21-2-2-2-24411-2-2-21111-2-2-2-2-2-21-2-4-4000000222200001-2-21111111-4000220000000000002222-1-1-1-1-1-1-1-1000000000000000000000000000000000
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χ1134-44-400-2-24-22i3−2i3−2i32i3422-4-42-221-2-20000-112-22−i3i3i3−i32i3−2i3−2i32i32-2-1200000000−232323−230000100-1-11−i3i3i3−i300000000000000000000003−3−33−3i3i3i−3i000000000000000000000000000000000
χ1144-4-440044-2-4000024-42-24-4-44-2-200004-422200000000-22-4-20000004-40000-22-22-2002-2200000000004-40000000000000000000000-22-2200000000000000000000000000000
χ1154-4-440044-2-4000024-42-24-4-44-2-200004-422200000000-22-4-2000000-4400002-22-2-2002-220000000000-4400000000000000000000002-22-200000000000000000000000000000
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χ1174-4-44004-24-40000-442-44-22-4-24-20000-22-4-4200000000-2224−4i4i0000002i−2i2i−2i0000-2002-220000000000000000000000−4i4i002i−2i2i−2i0000000000000000000000000000000000000
χ1184-4-4400-24-22−2i32i3−2i32i32-2-42-24-42-21-20000-22-1-12−2i32i3−2i32i3i3−i3i3−i3-22210000004-40000-22-22100-11-1i3−i3i3−i3000000-22−2i32i3000000000000000000001-11-1i3−i3i3−i30000000000000000000000000
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χ1244-4-4400-2-2422i3−2i32i3−2i3-4-22-44-2221-2-200001-1222−i3i3−i3i32i3−2i32i3−2i3-22-1-24i−4i000000−2i2i−2i2i0000100-11-1−i3i3−i3i3000000000000000000−2i2i−2323i−ii−i3−33−3000000000000000000000000000000000
χ1254-4-4400-2-2422i3−2i32i3−2i3-4-22-44-2221-2-200001-1222−i3i3−i3i32i3−2i32i3−2i3-22-1-2−4i4i0000002i−2i2i−2i0000100-11-1−i3i3−i3i30000000000000000002i−2i23−23−ii−ii−33−33000000000000000000000000000000000
χ126888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4222222222222222220000000000000000-122-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1278888-8-8-4-4-4-44444-4-4-4-4-4-4-4-4222444422222-2-2-2-2-2-2-2-222220000000000000000-1-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000000000
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χ1318-88-800-4-4-4-4−4i34i34i3−4i3-444444-442220000-22-22-22i3−2i3−2i32i32i3−2i3−2i32i3-22-2-20000000000000000-10011-1−i3i3i3−i3000000000000000000000000000000000000000000000000000000000000000
χ1328-88-800-4-4-4-44i3−4i3−4i34i3-444444-442220000-22-22-2−2i32i32i3−2i3−2i32i32i3−2i3-22-2-20000000000000000-10011-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000000000
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χ1358-8-8800-4-4-444i3−4i34i3−4i34-444-4-44422200002-2-2-2-2−2i32i3−2i32i3−2i32i3−2i32i32-2-220000000000000000-1001-11i3−i3i3−i3000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).