Finite Group Databasebeta

← Group #13155711

Character table — Group #13155711

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444444666666666666888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636363636363636363636363636363636108108
order12223334466666666633366666666612121212121212121212444412121212121212123666121212121212121222226666666612121212121212121212121266666666666644448812121212121212122424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ911-1-11111-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-111-1-11ii−i−iiiii−i−i−i−i1-1-1111-1-111-1-11-11-111-1-111-1-1ii−i−iiiii−i−i−i−i1-11-111-1-111-1-1i−ii−i1-1ii−i−iii−i−i11-1-1i−i
χ1011-1-11111-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-111-1-11ii−i−iiiii−i−i−i−i1-1-1111-1-111-1-11-1-1111-1-1-1-111ii−i−iiiii−i−i−i−i1-1-1111-1-1-1-111i−i−ii-11ii−i−i−i−iii-1-111−ii
χ1111-1-11111-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-111-1-11ii−i−iiiii−i−i−i−i1-1-1111-1-111-1-1-111-1-1-11111-1-1ii−i−iiiii−i−i−i−i-111-1-1-11111-1-1−iii−i-11−i−iiiii−i−i-1-111−ii
χ1211-1-11111-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-111-1-11ii−i−iiiii−i−i−i−i1-1-1111-1-111-1-1-11-11-1-111-1-111ii−i−iiiii−i−i−i−i-11-11-1-111-1-111−ii−ii1-1−i−iii−i−iii11-1-1i−i
χ1311-1-11111-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-111-1-11−i−iii−i−i−i−iiiii1-1-1111-1-111-1-11-11-111-1-111-1-1−i−iii−i−i−i−iiiii1-11-111-1-111-1-1−ii−ii1-1−i−iii−i−iii11-1-1−ii
χ1411-1-11111-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-111-1-11−i−iii−i−i−i−iiiii1-1-1111-1-111-1-11-1-1111-1-1-1-111−i−iii−i−i−i−iiiii1-1-1111-1-1-1-111−iii−i-11−i−iiiii−i−i-1-111i−i
χ1511-1-11111-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-111-1-11−i−iii−i−i−i−iiiii1-1-1111-1-111-1-1-111-1-1-11111-1-1−i−iii−i−i−i−iiiii-111-1-1-11111-1-1i−i−ii-11ii−i−i−i−iii-1-111i−i
χ1611-1-11111-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-111-1-11−i−iii−i−i−i−iiiii1-1-1111-1-111-1-1-11-11-1-111-1-111−i−iii−i−i−i−iiiii-11-11-1-111-1-111i−ii−i1-1ii−i−iii−i−i11-1-1−ii
χ172222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22-22-222-2-222-2-22222-2-2-2-2-2-2-2-20000000000002-22-222-2-222-2-200000000000000000000000000000000
χ182222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-22-22-2-222-2-2222222-2-2-2-2-2-2-2-2000000000000-22-22-2-222-2-22200000000000000000000000000000000
χ19222222-122-1-122-122222-1-1-1-1-1-12-1-1222222-12222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1222222222222000000000000-1-1-1-1-1-1-1-1-1-1-1-100002200000000-1-1-1-100
χ20222222-122-1-122-122222-1-1-1-1-1-12-1-1222222-12222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-122-2-22222-2-2-2-2000000000000-1-111-1-1-1-111110000-2-200000000111100
χ21222222-122-1-122-122222-1-1-1-1-1-12-1-1222222-12222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2222200000000000011-1-11111-1-1-1-10000-2-200000000111100
χ22222222-122-1-122-122222-1-1-1-1-1-12-1-1222222-12222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-200000000000011111111111100002200000000-1-1-1-100
χ2322222-1222222-122-12-1-12-122-1-1-12-1-1-12-12-12-1-1-1-12222222-1-122-1-1-1-1-1-12-12-1-1-1-1-100220000-1-1-1-1-12-12-1-1-1-1-1-1-1-100220000-1-1-1-10022000000-1-1-1-1000000
χ2422222-1222222-122-12-1-12-122-1-1-12-1-1-12-12-12-1-1-1-12222222-1-122-1-1-1-1-1-12-12-1-1-1-1-100-2-200001111-12-12-1-1-1-1-1-1-1-100-2-20000111100-2-20000001111000000
χ2522222-1222222-122-12-1-12-122-1-1-12-1-1-12-12-12-1-1-1-12-2-2-2-2-2-211-2-211-1-1-1-12-12-1-1-1-1-100220000-1-1-1-11-21-21111111100220000-1-1-1-100-2-20000001111000000
χ2622222-1222222-122-12-1-12-122-1-1-12-1-1-12-12-12-1-1-1-12-2-2-2-2-2-211-2-211-1-1-1-12-12-1-1-1-1-100-2-2000011111-21-21111111100-2-2000011110022000000-1-1-1-1000000
χ2722222-12-2-2222-122-12-1-12-122-1-1-12-1-1-1-21-21-21111-22-22-222112211-1-1-1-1-21-21111100000000−i3i3−i3i3-1-2-1-2-1-111-1-11100000000−i3i3−i3i30000000000−i3i3−i3i3000000
χ2822222-12-2-2222-122-12-1-12-122-1-1-12-1-1-1-21-21-21111-22-22-222112211-1-1-1-1-21-21111100000000i3−i3i3−i3-1-2-1-2-1-111-1-11100000000i3−i3i3−i30000000000i3−i3i3−i3000000
χ2922222-12-2-2222-122-12-1-12-122-1-1-12-1-1-1-21-21-21111-2-22-22-2-2-1-1-2-2-1-1-1-1-1-1-21-21111100000000−i3i3−i3i3121211-1-111-1-100000000−i3i3−i3i30000000000i3−i3i3−i3000000
χ3022222-12-2-2222-122-12-1-12-122-1-1-12-1-1-1-21-21-21111-2-22-22-2-2-1-1-2-2-1-1-1-1-1-1-21-21111100000000i3−i3i3−i3121211-1-111-1-100000000i3−i3i3−i30000000000−i3i3−i3i3000000
χ312222-1222222-122-12-12-1-12-1-122-1-12-1-1-12-122-1-1-1-122222-1-122-1-122-1-1-1-1-12-12-1-1-1-12200-1-1-1-100002-12-1-1-1-1-1-1-1-1-12200-1-1-1-10000220000-1-1-1-10000000000
χ322222-1222222-122-12-12-1-12-1-122-1-12-1-1-12-122-1-1-1-122222-1-122-1-122-1-1-1-1-12-12-1-1-1-1-2-200111100002-12-1-1-1-1-1-1-1-1-1-2-20011110000-2-2000011110000000000
χ332222-1222222-122-12-12-1-12-1-122-1-12-1-1-12-122-1-1-1-12-2-2-2-211-2-211-2-2-1-1-1-1-12-12-1-1-1-12200-1-1-1-10000-21-21111111112200-1-1-1-10000-2-2000011110000000000
χ342222-1222222-122-12-12-1-12-1-122-1-12-1-1-12-122-1-1-1-12-2-2-2-211-2-211-2-2-1-1-1-1-12-12-1-1-1-1-2-20011110000-21-2111111111-2-20011110000220000-1-1-1-10000000000
χ352222-122-2-222-122-12-12-1-12-1-122-1-12-1-11-21-2-21111-22-22-2-1-1-2-2-1-1-2-2-1-1-1-11-21-211110000−i3i3−i3i300002121-1-111-1-1110000−i3i3−i3i30000000000−i3i3−i3i30000000000
χ362222-122-2-222-122-12-12-1-12-1-122-1-12-1-11-21-2-21111-22-22-2-1-1-2-2-1-1-2-2-1-1-1-11-21-211110000i3−i3i3−i300002121-1-111-1-1110000i3−i3i3−i30000000000i3−i3i3−i30000000000
χ372222-122-2-222-122-12-12-1-12-1-122-1-12-1-11-21-2-21111-2-22-2211221122-1-1-1-11-21-211110000−i3i3−i3i30000-2-1-2-111-1-111-1-10000−i3i3−i3i30000000000i3−i3i3−i30000000000
χ382222-122-2-222-122-12-12-1-12-1-122-1-12-1-11-21-2-21111-2-22-2211221122-1-1-1-11-21-211110000i3−i3i3−i30000-2-1-2-111-1-111-1-10000i3−i3i3−i30000000000−i3i3−i3i30000000000
χ3922-2-2222-22-2-2222-2-2-2-2222-2-2-2-2222-2-2-2-2222-2-222-22i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2-2-22-2-222-2-2220000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ4022-2-2222-22-2-2222-2-2-2-2222-2-2-2-2222-2-2-2-2222-2-222-2−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i2-2-22-2-222-2-222000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ4122-2-222-12-21122-1-2-2-2-22-1-111112-1-1-2-222-2-2122-2-2-1000000000000-111-1-1-111-1-1112-22-222-2-222-2-2000000000000-11-11-1-111-1-11100002-200000000-1-11100
χ4222-2-222-12-21122-1-2-2-2-22-1-111112-1-1-2-222-2-2122-2-2-1000000000000-111-1-1-111-1-1112-2-2222-2-2-2-222000000000000-111-1-1-11111-1-10000-220000000011-1-100
χ4322-2-222-12-21122-1-2-2-2-22-1-111112-1-1-2-222-2-2122-2-2-1000000000000-111-1-1-111-1-111-222-2-2-22222-2-20000000000001-1-1111-1-1-1-1110000-220000000011-1-100
χ4422-2-222-12-21122-1-2-2-2-22-1-111112-1-1-2-222-2-2122-2-2-1000000000000-111-1-1-111-1-111-22-22-2-222-2-2220000000000001-11-111-1-111-1-100002-200000000-1-11100
χ4522-2-22-122-2-2-22-12-21-21-12-1-2-211-12-1112-1-21-2-1-11122i2i−2i−2i2i2i−i−i−2i−2iii-111-12-1-21-1-111002-20000-1-111−i2ii−2i−i−i−i−iiiii002-20000-1-111002i−2i000000−i−iii000000
χ4622-2-22-122-2-2-22-12-21-21-12-1-2-211-12-1112-1-21-2-1-11122i2i−2i−2i2i2i−i−i−2i−2iii-111-12-1-21-1-11100-22000011-1-1−i2ii−2i−i−i−i−iiiii00-22000011-1-100−2i2i000000ii−i−i000000
χ4722-2-22-122-2-2-22-12-21-21-12-1-2-211-12-1112-1-21-2-1-1112−2i−2i2i2i−2i−2iii2i2i−i−i-111-12-1-21-1-111002-20000-1-111i−2i−i2iiiii−i−i−i−i002-20000-1-11100−2i2i000000ii−i−i000000
χ4822-2-22-122-2-2-22-12-21-21-12-1-2-211-12-1112-1-21-2-1-1112−2i−2i2i2i−2i−2iii2i2i−i−i-111-12-1-21-1-11100-22000011-1-1i−2i−i2iiiii−i−i−i−i00-22000011-1-1002i−2i000000−i−iii000000
χ4922-2-22-12-22-2-22-12-21-21-12-1-2-211-12-111-212-1211-1-1-22i−2i−2i2i2i2iii−2i−2i−i−i-111-1-212-111-1-100000000−i3i3i3−i3−i−2ii2i−i−iiiii−i−i00000000−i3i3i3−i300000000003−3−33000000
χ5022-2-22-12-22-2-22-12-21-21-12-1-2-211-12-111-212-1211-1-1-22i−2i−2i2i2i2iii−2i−2i−i−i-111-1-212-111-1-100000000i3−i3−i3i3−i−2ii2i−i−iiiii−i−i00000000i3−i3−i3i30000000000−333−3000000
χ5122-2-22-12-22-2-22-12-21-21-12-1-2-211-12-111-212-1211-1-1-2−2i2i2i−2i−2i−2i−i−i2i2iii-111-1-212-111-1-100000000−i3i3i3−i3i2i−i−2iii−i−i−i−iii00000000−i3i3i3−i30000000000−333−3000000
χ5222-2-22-12-22-2-22-12-21-21-12-1-2-211-12-111-212-1211-1-1-2−2i2i2i−2i−2i−2i−i−i2i2iii-111-1-212-111-1-100000000i3−i3−i3i3i2i−i−2iii−i−i−i−iii00000000i3−i3−i3i300000000003−3−33000000
χ5322-2-2-1222-2-2-2-1221-21-2-1-1211-2-2-1-1211-121-2-2-1-11122i2i−2i−2i−i−i2i2iii−2i−2i-111-1-121-2-1-1112-200-1-11100002i−i−2ii−i−i−i−iiiii2-200-1-11100002i−2i0000−i−iii0000000000
χ5422-2-2-1222-2-2-2-1221-21-2-1-1211-2-2-1-1211-121-2-2-1-11122i2i−2i−2i−i−i2i2iii−2i−2i-111-1-121-2-1-111-220011-1-100002i−i−2ii−i−i−i−iiiii-220011-1-10000−2i2i0000ii−i−i0000000000
χ5522-2-2-1222-2-2-2-1221-21-2-1-1211-2-2-1-1211-121-2-2-1-1112−2i−2i2i2iii−2i−2i−i−i2i2i-111-1-121-2-1-1112-200-1-1110000−2ii2i−iiiii−i−i−i−i2-200-1-1110000−2i2i0000ii−i−i0000000000
χ5622-2-2-1222-2-2-2-1221-21-2-1-1211-2-2-1-1211-121-2-2-1-1112−2i−2i2i2iii−2i−2i−i−i2i2i-111-1-121-2-1-111-220011-1-10000−2ii2i−iiiii−i−i−i−i-220011-1-100002i−2i0000−i−iii0000000000
χ5722-2-2-122-22-2-2-1221-21-2-1-1211-2-2-1-12111-2-12211-1-1-22i−2i−2i2i−i−i−2i−2iii2i2i-111-11-2-1211-1-10000−i3i3i3−i300002ii−2i−i−i−iiiii−i−i0000−i3i3i3−i300000000003−3−330000000000
χ5822-2-2-122-22-2-2-1221-21-2-1-1211-2-2-1-12111-2-12211-1-1-22i−2i−2i2i−i−i−2i−2iii2i2i-111-11-2-1211-1-10000i3−i3−i3i300002ii−2i−i−i−iiiii−i−i0000i3−i3−i3i30000000000−333−30000000000
χ5922-2-2-122-22-2-2-1221-21-2-1-1211-2-2-1-12111-2-12211-1-1-2−2i2i2i−2iii2i2i−i−i−2i−2i-111-11-2-1211-1-10000−i3i3i3−i30000−2i−i2iiii−i−i−i−iii0000−i3i3i3−i30000000000−333−30000000000
χ6022-2-2-122-22-2-2-1221-21-2-1-1211-2-2-1-12111-2-12211-1-1-2−2i2i2i−2iii2i2i−i−i−2i−2i-111-11-2-1211-1-10000i3−i3−i3i30000−2i−i2iiii−i−i−i−iii0000i3−i3−i3i300000000003−3−330000000000
χ61444444-2-4-4-2-244-244444-2-2-2-2-2-24-2-244-4-4-4-42-4-4-4-42000000000000-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ6244444-2-244-2-24-2-24-24-2-2-21-2-211-2-21-2-24-24-2-2-2-2-2-2-20000000000001111-21-21111100440000-2-2-2-200000000000000-2-20000111100000000000000000000
χ6344444-2-244-2-24-2-24-24-2-2-21-2-211-2-21-2-24-24-2-2-2-2-2-2-20000000000001111-21-21111100-4-40000222200000000000000220000-1-1-1-100000000000000000000
χ6444444-2-2-4-4-2-24-2-24-24-2-2-21-2-211-2-21-2-2-42-4222222200000000000011112-12-1-1-1-1-100000000−2i32i3−2i32i300000000000000000000i3−i3i3−i300000000000000000000
χ6544444-2-2-4-4-2-24-2-24-24-2-2-21-2-211-2-21-2-2-42-4222222200000000000011112-12-1-1-1-1-1000000002i3−2i32i3−2i300000000000000000000−i3i3−i3i300000000000000000000
χ664444-24-244-2-2-24-2-24-24-21-211-2-2-21-2-2-2-24-24-2-2-2-2-2-200000000000011111-21-211114400-2-2-2-20000000000000000-2-2001111000000000000000000000000
χ674444-24-244-2-2-24-2-24-24-21-211-2-2-21-2-2-2-24-24-2-2-2-2-2-200000000000011111-21-21111-4-400222200000000000000002200-1-1-1-1000000000000000000000000
χ684444-24-2-4-4-2-2-24-2-24-24-21-211-2-2-21-2-2-22-42-42222220000000000001111-12-12-1-1-1-10000−2i32i3−2i32i300000000000000000000i3−i3i3−i3000000000000000000000000
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χ704444-2-244444-2-24-2-2-2-21-2-2-2-2-2-21-2-211-2-2-2-24111144444-2-2-2-2-2-2-2-21111-2-2-2-21111000000000000-2-2-2-21111111100000000000000000000000000000000
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χ724444-2-24-4-444-2-24-2-2-2-21-2-2-2-2-2-21-2-2112222-4-1-1-1-1-44-44-4-2-222-2-22211112222-1-1-1-1000000000000-22-2211-1-111-1-100000000000000000000000000000000
χ734444-2-24-4-444-2-24-2-2-2-21-2-2-2-2-2-21-2-2112222-4-1-1-1-1-4-44-4422-2-222-2-211112222-1-1-1-10000000000002-22-2-1-111-1-11100000000000000000000000000000000
χ7444-4-444-2-442244-2-4-4-4-44-2-222224-2-2-4-4-4-444-2-4-4442000000000000-222-222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ7544-4-44-2-24-4224-2-2-42-42-2-2122-1-1-2-21224-2-422-2-222-20000000000001-1-11-212-111-1-1004-40000-2-22200000000000000-22000011-1-100000000000000000000
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χ7744-4-44-2-2-44224-2-2-42-42-2-2122-1-1-2-2122-424-2-222-2-220000000000001-1-112-1-21-1-11100000000−2i32i32i3−2i300000000000000000000i3−i3−i3i300000000000000000000
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χ7944-4-4-24-24-422-24-22-42-4-21-2-1-122-21-222-242-42-2-222-20000000000001-1-111-2-1211-1-14-400-2-2220000000000000000-220011-1-1000000000000000000000000
χ8044-4-4-24-24-422-24-22-42-4-21-2-1-122-21-222-242-42-2-222-20000000000001-1-111-2-1211-1-1-440022-2-200000000000000002-200-1-111000000000000000000000000
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χ8344-4-4-2-244-4-4-4-2-2422221-2-222221-2-2-1-1-2-222-411-1-144i4i−4i−4i−2i−2i−2i−2i2i2i2i2i1-1-11-2-22211-1-1000000000000−2i−2i2i2iiiii−i−i−i−i00000000000000000000000000000000
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χ914-44-44-24004-4-42-442-4-2-24-24-4-222-42-2200000000000000002i3−2i3002i3−2i3-2-222000000000000000000000000002i3−2i3002i3−2i300000000000000000000000000000000
χ924-44-4-244004-42-4-4-2-424-2-24-224-422-4-220000000000000023−230023−2300-2-22200000000000000000000000023−230023−230000000000000000000000000000000000
χ934-44-4-244004-42-4-4-2-424-2-24-224-422-4-2200000000000000−232300−232300-2-222000000000000000000000000−232300−23230000000000000000000000000000000000
χ944-44-4-2-24004-422-4-222-21-2-2-22-22-1221-1000003i−3i3i−3i0000023−23−2i32i323−23−2i32i311-1-100003i−3i3i−3i0000000000000000−33i3−i3−33i3−i300000000000000000000000000000000
χ954-44-4-2-24004-422-4-222-21-2-2-22-22-1221-1000003i−3i3i−3i00000−23232i3−2i3−23232i3−2i311-1-100003i−3i3i−3i00000000000000003−3−i3i33−3−i3i300000000000000000000000000000000
χ964-44-4-2-24004-422-4-222-21-2-2-22-22-1221-100000−3i3i−3i3i0000023−232i3−2i323−232i3−2i311-1-10000−3i3i−3i3i0000000000000000−33−i3i3−33−i3i300000000000000000000000000000000
χ974-44-4-2-24004-422-4-222-21-2-2-22-22-1221-100000−3i3i−3i3i00000−2323−2i32i3−2323−2i32i311-1-10000−3i3i−3i3i00000000000000003−3i3−i33−3i3−i300000000000000000000000000000000
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χ994-4-4444-2002-2-4-42-444-44-2-22-22-2-422-440000000000000000000000-22-220000000000000000000000000000000000000000000000000000000000i6−i6−i6i600
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χ1014-4-444-2400-44-42-4-4-242-24-2-442-22-422-2000000000000000023−2300−2323-22-220000000000000000000000000023−2300−232300000000000000000000000000000000
χ1024-4-444-2400-44-42-4-4-242-24-2-442-22-422-20000000000000000−23230023−23-22-2200000000000000000000000000−23230023−2300000000000000000000000000000000
χ1034-4-44-24400-442-4-424-2-4-2-242-2-4422-42-200000000000000−2i32i3002i3−2i300-22-22000000000000000000000000−2i32i3002i3−2i30000000000000000000000000000000000
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χ1054-4-44-2-2400-4422-42-2-221-2-22-22-2-122-11000003i−3i−3i3i00000−2i32i3−23232i3−2i323−231-11-100003i−3i−3i3i0000000000000000i3−i33−3−i3i3−3300000000000000000000000000000000
χ1064-4-44-2-2400-4422-42-2-221-2-22-22-2-122-11000003i−3i−3i3i000002i3−2i323−23−2i32i3−23231-11-100003i−3i−3i3i0000000000000000−i3i3−33i3−i33−300000000000000000000000000000000
χ1074-4-44-2-2400-4422-42-2-221-2-22-22-2-122-1100000−3i3i3i−3i00000−2i32i323−232i3−2i3−23231-11-10000−3i3i3i−3i0000000000000000i3−i3−33−i3i33−300000000000000000000000000000000
χ1084-4-44-2-2400-4422-42-2-221-2-22-22-2-122-1100000−3i3i3i−3i000002i3−2i3−2323−2i32i323−231-11-10000−3i3i3i−3i0000000000000000−i3i33−3i3−i3−3300000000000000000000000000000000
χ1098888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-42222-4000000000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1108888-4-4-4-8-8-4-4-4-4-4-4-4-4-422222222222244444-2-2-2-24000000000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-48-844-4-4-44444222-2-2-2-2222-2-2-4-444422-2-2-4000000000000-111-122-2-2-1-11100000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-4-8844-4-4-44444222-2-2-2-2222-2-244-4-4-4-2-2224000000000000-111-1-2-22211-1-100000000000000000000000000000000000000000000000000000000
χ1138-88-88-4-400-44-84484-8-4-4-42-442-244-2-44000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-48-400-444-84-4-848-42-42-2-444-24-44000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-400-44444-444-42222-22-2-2-2-22-2000006i−6i6i−6i0000000000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
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χ1178-8-888-4-4004-4-844-8-484-4-424-4-2244-24-400000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-48-4004-44-8448-4-8-42-4-224-44-244-400000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-4004-44444-4-44222-22-22-2-2-2-22000006i−6i−6i6i0000000000000-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-4004-44444-4-44222-22-22-2-2-2-2200000−6i6i6i−6i0000000000000-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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