Finite Group Databasebeta

← Group #13159282

Character table — Group #13159282

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222222222224444444444444444444444444466668888888888888888888888888888888888812121212121212121212121212121212181818182424242424242424243636363654545454727272216
order12223333344666666666666666333366666666666612121212121212121212888841212121212121212121212121212121212121212121212121212121212121212121224242424242424242424242424242424444441212121212121212121212128888412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-2000000000-2-22200000000
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000-2-22200000000022-2-200000000
χ1122222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122220000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222000000000-1-1-1-100002-1-10
χ1222222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122220000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200000000011110000-2110
χ1322222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122220000-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1111111111111111100000000000000002222000000000-1-1-1-10000-2110
χ1422222222-1222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-122220000-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2-2-2000000000111100002-1-10
χ1522222222-1-2-22222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-20000000000000−i3i311111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3000000000000000022-2-200000000011-1-100000−i3i30
χ1622222222-1-2-22222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-20000000000000−i3i311111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30000000000000000-2-222000000000-1-11100000i3−i30
χ1722222222-1-2-22222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-20000000000000i3−i311111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3000000000000000022-2-200000000011-1-100000i3−i30
χ1822222222-1-2-22222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-2-2-20000000000000i3−i311111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000000000000000-2-222000000000-1-11100000−i3i30
χ1922222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222-1-1-1-1-1-1000000000000
χ2022222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12222-2-2-2111111-2-222-1-1-1-1-1-1-2-2111111-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2111111000000000000
χ2122222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-2-2-2-2222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111111111110000-2-2-2111111000000000000
χ2222222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-2-2-2-2-2-2-2111111-2-222-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-21111111111110000222-1-1-1-1-1-1000000000000
χ232222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1-12-1-122-12-1-122222-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002-1-122-1-1-1-1000000000000
χ242222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1-12-1-122-12-1-12222-211-2-21111-2-2-1-122-1-1-1-111-2-2111111-2-21111-1-1-1-12222-1-1-1-1-1-1-1-10000-211-2-21111000000000000
χ252222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1-12-1-122-12-1-1-2-2-2-22-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111110000-211-2-21111000000000000
χ262222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1-12-1-122-12-1-1-2-2-2-2-211-2-21111-2-2-1-122-1-1-1-111-2-2111111-2-211111111-2-2-2-21111111100002-1-122-1-1-1-1000000000000
χ272222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1-1-12-122-1-12-122222-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-122-1-1000000000000
χ282222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1-1-12-122-1-12-12222-21111-2-211-2-2-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-1-1-1-1-12222-1-1-1-10000-21111-2-211000000000000
χ292222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1-1-12-122-1-12-1-2-2-2-22-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-211110000-21111-2-211000000000000
χ302222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1-1-12-122-1-12-1-2-2-2-2-21111-2-211-2-2-1-1-1-122-1-11111-2-2111111-2-21111111111-2-2-2-2111100002-1-1-1-122-1-1000000000000
χ312222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200002-1-1-1-1-1-122000000000000
χ322222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-122222-2111111-2-2-2-2-1-1-1-1-1-122111111-2-2111111-2-2-1-1-1-1-1-1-1-1-1-1-1-122220000-2111111-2-2000000000000
χ332222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-2-2-2-22-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-20000-2111111-2-2000000000000
χ342222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-12-2-2-2-2-2111111-2-2-2-2-1-1-1-1-1-122111111-2-2111111-2-2111111111111-2-2-2-200002-1-1-1-1-1-122000000000000
χ3522-2-2222222-222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22-2222222-2-2000000000002-22-22-22-2000000000000000022-2-222-2-222-2-222-2-20000000000000000000000000
χ3622-2-2222222-222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22-22222-2-222000000000002-22-22-22-20000000000000000-2-222-2-222-2-222-2-2220000000000000000000000000
χ3722-2-222222-2222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-22-2-2-2-2000000000000000-22-22-22-22000000000000000000000000000000000000000000000000022-2-20000
χ3822-2-222222-2222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-22-2-2-2-2000000000000000-22-22-22-220000000000000000000000000000000000000000000000000-2-2220000
χ3922-2-22-1-1-122-22-1-1-12-2111-2111-2-22-1-1-1-21112-1-1-1-2111-21112-22-1-1-122-2-20003−33−33−3002-2-11-11-11003−33−33−3003−33−33−322-2-2-1-111-1-111-1-11100000003−33−33−3000000000000
χ4022-2-22-1-1-122-22-1-1-12-2111-2111-2-22-1-1-1-21112-1-1-1-2111-21112-22-1-1-122-2-2000−33−33−33002-2-11-11-1100−33−33−3300−33−33−3322-2-2-1-111-1-111-1-1110000000−33−33−33000000000000
χ4122-2-22-1-1-122-22-1-1-12-2111-2111-2-22-1-1-1-21112-1-1-1-2111-21112-22-1-1-1-2-2220003−33−33−3002-2-11-11-11003−33−33−3003−33−33−3-2-22211-1-111-1-111-1-10000000−33−33−33000000000000
χ4222-2-22-1-1-122-22-1-1-12-2111-2111-2-22-1-1-1-21112-1-1-1-2111-21112-22-1-1-1-2-222000−33−33−33002-2-11-11-1100−33−33−3300−33−33−33-2-22211-1-111-1-111-1-100000003−33−33−3000000000000
χ4322-2-2-12-1-122-2-12-1-121-2111-211-2-2-12-1-11-211-12-1-11-2111-2112-2-12-1-122-2-203−3003−3−3300-112-2-11-113−3003−3−333−3003−3−33-1-11122-2-2-1-111-1-111000003−3003−3−33000000000000
χ4422-2-2-12-1-122-2-12-1-121-2111-211-2-2-12-1-11-211-12-1-11-2111-2112-2-12-1-122-2-20−3300−333−300-112-2-11-11−3300−333−3−3300−333−3-1-11122-2-2-1-111-1-11100000−3300−333−3000000000000
χ4522-2-2-12-1-122-2-12-1-121-2111-211-2-2-12-1-11-211-12-1-11-2111-2112-2-12-1-1-2-22203−3003−3−3300-112-2-11-113−3003−3−333−3003−3−3311-1-1-2-22211-1-111-1-100000−3300−333−3000000000000
χ4622-2-2-12-1-122-2-12-1-121-2111-211-2-2-12-1-11-211-12-1-11-2111-2112-2-12-1-1-2-2220−3300−333−300-112-2-11-11−3300−333−3−3300−333−311-1-1-2-22211-1-111-1-1000003−3003−3−33000000000000
χ4722-2-2-1-12-122-2-1-12-1211-2111-21-2-2-1-12-111-21-1-12-111-2111-212-2-1-12-122-2-203−3−33003−300-11-112-2-113−3−33003−33−3−33003−3-1-111-1-11122-2-2-1-111000003−3−33003−3000000000000
χ4822-2-2-1-12-122-2-1-12-1211-2111-21-2-2-1-12-111-21-1-12-111-2111-212-2-1-12-122-2-20−333−300−3300-11-112-2-11−333−300−33−333−300−33-1-111-1-11122-2-2-1-11100000−333−300−33000000000000
χ4922-2-2-1-12-122-2-1-12-1211-2111-21-2-2-1-12-111-21-1-12-111-2111-212-2-1-12-1-2-22203−3−33003−300-11-112-2-113−3−33003−33−3−33003−311-1-111-1-1-2-22211-1-100000−333−300−33000000000000
χ5022-2-2-1-12-122-2-1-12-1211-2111-21-2-2-1-12-111-21-1-12-111-2111-212-2-1-12-1-2-2220−333−300−3300-11-112-2-11−333−300−33−333−300−3311-1-111-1-1-2-22211-1-1000003−3−33003−3000000000000
χ5122-2-2-1-1-1222-2-1-1-122111-2111-2-2-2-1-1-12111-2-1-1-12111-2111-22-2-1-1-1222-2-203−33−3−330000-11-11-112-23−33−3−33003−33−3−3300-1-111-1-111-1-11122-2-2000003−33−3−3300000000000000
χ5222-2-2-1-1-1222-2-1-1-122111-2111-2-2-2-1-1-12111-2-1-1-12111-2111-22-2-1-1-1222-2-20−33−333−30000-11-11-112-2−33−333−300−33−333−300-1-111-1-111-1-11122-2-200000−33−333−300000000000000
χ5322-2-2-1-1-1222-2-1-1-122111-2111-2-2-2-1-1-12111-2-1-1-12111-2111-22-2-1-1-12-2-22203−33−3−330000-11-11-112-23−33−3−33003−33−3−330011-1-111-1-111-1-1-2-22200000−33−333−300000000000000
χ5422-2-2-1-1-1222-2-1-1-122111-2111-2-2-2-1-1-12111-2-1-1-12111-2111-22-2-1-1-12-2-2220−33−333−30000-11-11-112-2−33−333−300−33−333−30011-1-111-1-111-1-1-2-222000003−33−3−3300000000000000
χ552-22-22222200-2-2-2-2-22222-2-2-2-2-222222-2-2-2-2-2-2-2-222220000000000−i2i2−i2i200000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-200000000000002-2−i2i2−i2i20000
χ562-22-22222200-2-2-2-2-22222-2-2-2-2-222222-2-2-2-2-2-2-2-222220000000000−i2i2−i2i200000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-220000000000000-22i2−i2i2−i20000
χ572-22-22222200-2-2-2-2-22222-2-2-2-2-222222-2-2-2-2-2-2-2-222220000000000i2−i2i2−i200000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-200000000000002-2i2−i2i2−i20000
χ582-22-22222200-2-2-2-2-22222-2-2-2-2-222222-2-2-2-2-2-2-2-222220000000000i2−i2i2−i200000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-220000000000000-22−i2i2−i2i20000
χ592-2-222222200-2-2-2-2-2-2-2-2-222222-222222222-2-2-2-2-2-2-2-20000000000−i2i2i2−i200000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2002-20000000002-200−i2i2i2−i20000
χ602-2-222222200-2-2-2-2-2-2-2-2-222222-222222222-2-2-2-2-2-2-2-20000000000−i2i2i2−i200000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200-22000000000-2200i2−i2−i2i20000
χ612-2-222222200-2-2-2-2-2-2-2-2-222222-222222222-2-2-2-2-2-2-2-20000000000i2−i2−i2i200000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2002-20000000002-200i2−i2−i2i20000
χ622-2-222222200-2-2-2-2-2-2-2-2-222222-222222222-2-2-2-2-2-2-2-20000000000i2−i2−i2i200000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200-22000000000-2200−i2i2i2−i20000
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χ10144-4-4-2-2-24-24-4-2-2-24-2222-4222-422111-2-1-1-12111-2-1-1-12222-4-22-2-2-240000023−2323−23−232300001-11-11-1-22−33−333−300−33−333−30000000000000000000000000000000000000000000
χ10244-4-4-2-2-24-24-4-2-2-24-2222-4222-422111-2-1-1-12111-2-1-1-12222-4-22-2-2-2400000−2323−232323−2300001-11-11-1-223−33−3−33003−33−3−330000000000000000000000000000000000000000000
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χ1104-44-4-24-2-24002-422-4-24-2-22-422-44-24-2-22-4222-422-24-2-200000000002i2−2i22i2−2i200000000000000000000000000000000000−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000
χ1114-44-4-2-24-240022-42-4-2-24-222-42-44-2-24-222-4222-42-2-24-20000000000−2i22i2−2i22i200000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000
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χ1154-4-444444-200-4-4-4-42-4-4-4-44444-22-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000004-4000000000-220000000000
χ1164-4-444444-200-4-4-4-42-4-4-4-44444-22-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000000-440000000002-20000000000
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χ1194-4-44-24-2-24002-422-42-422-24-2-24-4-24-2-2-24-2-22-4222-4220000000000−2i22i22i2−2i200000000000000000000000000000000000i2−i2−i2i2−2i22i22i2−2i2i2−i2−i2i2i2−i2−i2i20000000000000000000000000
χ1204-4-44-24-2-24002-422-42-422-24-2-24-4-24-2-2-24-2-22-4222-42200000000002i2−2i2−2i22i200000000000000000000000000000000000−i2i2i2−i22i2−2i2−2i22i2−i2i2i2−i2−i2i2i2−i20000000000000000000000000
χ1214-4-44-2-24-240022-42-422-42-2-24-24-4-2-24-2-2-24-222-4222-420000000000−2i22i22i2−2i200000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2−2i22i22i2−2i2i2−i2−i2i20000000000000000000000000
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χ1234-4-44-2-2-24400222-4-4222-4-2-2-244-4-2-2-24-2-2-24222-4222-40000000000−2i22i22i2−2i200000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−2i22i22i2−2i20000000000000000000000000
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χ1258-88-88-4-4-4-400-844448-4-4-4-84444-4-42224-2-2-24-2-2-2-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-48-4-4-4004-8444-48-4-44-8444-42-422-24-2-2-24-2-22-422000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-4-48-4-40044-844-4-48-444-844-422-42-2-24-2-2-24-222-42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-88-8-4-4-48-400444-84-4-4-48444-84-4222-4-2-2-24-2-2-24222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-888-4-4-4-400-84444-84448-4-4-4-44-4222-42224-2-2-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-88-48-4-4-4004-84444-844-48-4-4-442-4222-422-24-2-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-88-4-48-4-40044-84444-84-4-48-4-4422-4222-42-2-24-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-48-400444-84444-8-4-4-48-44222-4222-4-2-2-24-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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