Finite Group Databasebeta

← Group #11787788

Character table — Group #11787788

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order12442223344466666612121212121212123444466666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888444412121212121212122424242424242424224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ911-1-11-1-11111-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-11-1
χ1011-1-11-1-11111-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iiii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-111-11
χ1111-1-11-1-11111-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-111-11
χ1211-1-11-1-11111-111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-11-1
χ1311-1-11-1-11111-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−i−ii−ii−i−iii−i−iiiii−i−iii−i−i11-1-1-11
χ1411-1-11-1-11111-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−i−iii−iii−i−i−iiiii−i−iii−i−i−i−iii-1-1111-1
χ1511-1-11-1-11111-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiiii−i−ii−i−iiii−i−i−i−iii−i−iiiii−i−i-1-1111-1
χ1611-1-11-1-11111-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iiii−ii−iii−i−iii−i−i−i−iii−i−iii11-1-1-11
χ1722222222-12222-122-1-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200220000-1-1-1-10000-1-1-1-1000000
χ1822222222-12222-122-1-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-20000111100001111000000
χ1922222222-12222-122-1-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000222200-2-2000011110000-1-1-1-1000000
χ2022222222-12222-122-1-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-2-2-200220000-1-1-1-100001111000000
χ212222222-12222-12-1-122-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200002200-1-1-1-10000-1-1-1-10000000000
χ222222222-12222-12-1-122-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2-2001111000011110000000000
χ232222222-12222-12-1-122-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122220000-2-20011110000-1-1-1-10000000000
χ242222222-12222-12-1-122-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-200002200-1-1-1-1000011110000000000
χ2522222-2-222-2-2222-2-2-2-2-2-2-2-2222220000-2-2-2-2-2-222222-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000000000002-22-200
χ2622222-2-222-2-2222-2-2-2-2-2-2-2-2222220000-2-2-2-2-2-222222-2-222-2-2-2-22222000000000000000000000000000000000000000000000000000000000000-22-2200
χ272222-22-2222-2-22222-2-222-2-2222220000-2222-2-2-2-22-2-2-22-2-222-2-222-2-20000000000000000000000000000000000002-22-200000000000000002-22-2000000
χ282222-22-2222-2-22222-2-222-2-2222220000-2222-2-2-2-22-2-2-22-2-222-2-222-2-2000000000000000000000000000000000000-22-220000000000000000-22-22000000
χ292222-22-22-12-2-22-12211221122-1-1-10000-2-1-1-111-21-111-2-1-21-1-111-1-111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−300002-22-2000000003−33−30000-11-11000000
χ302222-22-22-12-2-22-12211221122-1-1-10000-2-1-1-111-21-111-2-1-21-1-111-1-111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−30000-22-2200000000−33−3300001-11-1000000
χ312222-22-22-12-2-22-12211221122-1-1-10000-2-1-1-111-21-111-2-1-21-1-111-1-1110000−3−333−3−3−3−333330000−3−333−3−3−3−3333300002-22-200000000−33−330000-11-11000000
χ322222-22-22-12-2-22-12211221122-1-1-10000-2-1-1-111-21-111-2-1-21-1-111-1-1110000−3−333−3−3−3−333330000−3−333−3−3−3−333330000-22-22000000003−33−300001-11-1000000
χ332222-2-2222-22-222-2-222-2-2222222200002-2-2-222-2-22-2-22-2-2-2-2-22222-2-2000000000000000000000000000000002-22-200000000000000002-22-20000000000
χ342222-2-2222-22-222-2-222-2-2222222200002-2-2-222-2-22-2-22-2-2-2-2-22222-2-200000000000000000000000000000000-22-220000000000000000-22-220000000000
χ352222-2-22-12-22-2-1211221122-1-122-10000-1-211-1-11-2-111-1-21-211-1-1-1-11133−3−3000033−3−333−3−333−3−3000033−3−333−3−32-22-2000000003−33−30000-11-110000000000
χ362222-2-22-12-22-2-1211221122-1-122-10000-1-211-1-11-2-111-1-21-211-1-1-1-11133−3−3000033−3−333−3−333−3−3000033−3−333−3−3-22-2200000000−33−3300001-11-10000000000
χ372222-2-22-12-22-2-1211221122-1-122-10000-1-211-1-11-2-111-1-21-211-1-1-1-111−3−3330000−3−333−3−333−3−3330000−3−333−3−3332-22-200000000−33−330000-11-110000000000
χ382222-2-22-12-22-2-1211221122-1-122-10000-1-211-1-11-2-111-1-21-211-1-1-1-111−3−3330000−3−333−3−333−3−3330000−3−333−3−333-22-22000000003−33−300001-11-10000000000
χ3922-2-222222-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000002-2-2200
χ4022-2-222222-2-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000-222-200
χ4122-2-22-2-22-122-22-1-2-21122-1-1-2-211-122-2-2-2111112-1-1-1-12-1-21-1-1-1-111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100002i2i−2i−2i002i−2i0000−i−iii0000−i−iii000000
χ4222-2-22-2-22-122-22-1-2-21122-1-1-2-211-122-2-2-2111112-1-1-1-12-1-21-1-1-1-111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000−2i−2i2i2i00−2i2i0000ii−i−i0000ii−i−i000000
χ4322-2-22-2-22-122-22-1-2-21122-1-1-2-211-1-2-222-2111112-1-1-1-12-1-21-1-1-1-11111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100002i2i−2i−2i00−2i2i0000ii−i−i0000−i−iii000000
χ4422-2-22-2-22-122-22-1-2-21122-1-1-2-211-1-2-222-2111112-1-1-1-12-1-21-1-1-1-11111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000−2i−2i2i2i002i−2i0000−i−iii0000ii−i−i000000
χ4522-2-22-2-2-1222-2-1211-2-2-1-12211-2-2-122-2-21-21111-12-1-1-1-121-2-1-1-1-11111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112i2i−2i−2i00002i−2i00−i−iii0000−i−iii0000000000
χ4622-2-22-2-2-1222-2-1211-2-2-1-12211-2-2-122-2-21-21111-12-1-1-1-121-2-1-1-1-11111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111−2i−2i2i2i0000−2i2i00ii−i−i0000ii−i−i0000000000
χ4722-2-22-2-2-1222-2-1211-2-2-1-12211-2-2-1-2-2221-21111-12-1-1-1-121-2-1-1-1-111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-12i2i−2i−2i0000−2i2i00ii−i−i0000−i−iii0000000000
χ4822-2-22-2-2-1222-2-1211-2-2-1-12211-2-2-1-2-2221-21111-12-1-1-1-121-2-1-1-1-111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1−2i−2i2i2i00002i−2i00−i−iii0000ii−i−i0000000000
χ4922-2-2-22-222-2222222-2-2-2-222-2-2-2-220000-2222-2-2-2-22-2-22-222-2-222-2-222000000000000000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ5022-2-2-22-222-2222222-2-2-2-222-2-2-2-220000-2222-2-2-2-22-2-22-222-2-222-2-22200000000000000000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ5122-2-2-22-2-12-222-12-1-1-2-2112211-2-2-1000012-1-1111-2-111-1-2-1211-1-111-1-133−3−3000033−3−333−3−3−3−3330000−3−333−3−3332i−2i−2i2i00000000i3−i3−i3i30000−iii−i0000000000
χ5222-2-2-22-2-12-222-12-1-1-2-2112211-2-2-1000012-1-1111-2-111-1-2-1211-1-111-1-133−3−3000033−3−333−3−3−3−3330000−3−333−3−333−2i2i2i−2i00000000−i3i3i3−i30000i−i−ii0000000000
χ5322-2-2-22-2-12-222-12-1-1-2-2112211-2-2-1000012-1-1111-2-111-1-2-1211-1-111-1-1−3−3330000−3−333−3−33333−3−3000033−3−333−3−32i−2i−2i2i00000000−i3i3i3−i30000−iii−i0000000000
χ5422-2-2-22-2-12-222-12-1-1-2-2112211-2-2-1000012-1-1111-2-111-1-2-1211-1-111-1-1−3−3330000−3−333−3−33333−3−3000033−3−333−3−3−2i2i2i−2i00000000i3−i3−i3i30000i−i−ii0000000000
χ5522-2-2-2-22222-2222-2-22222-2-2-2-2-2-2200002-2-2-222-2-22-2-2-222222-2-2-2-2220000000000000000000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000
χ5622-2-2-2-22222-2222-2-22222-2-2-2-2-2-2200002-2-2-222-2-22-2-2-222222-2-2-2-222000000000000000000000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000
χ5722-2-2-2-222-12-222-1-2-2-1-12211-2-211-100002111-1-1-21-111-2-12-1-1-11111-1-1000033−3−33333−3−3−3−30000−3−333−3−3−3−3333300002i−2i−2i2i00000000i3−i3−i3i30000−iii−i000000
χ5822-2-2-2-222-12-222-1-2-2-1-12211-2-211-100002111-1-1-21-111-2-12-1-1-11111-1-1000033−3−33333−3−3−3−30000−3−333−3−3−3−333330000−2i2i2i−2i00000000−i3i3i3−i30000i−i−ii000000
χ5922-2-2-2-222-12-222-1-2-2-1-12211-2-211-100002111-1-1-21-111-2-12-1-1-11111-1-10000−3−333−3−3−3−33333000033−3−33333−3−3−3−300002i−2i−2i2i00000000−i3i3i3−i30000−iii−i000000
χ6022-2-2-2-222-12-222-1-2-2-1-12211-2-211-100002111-1-1-21-111-2-12-1-1-11111-1-10000−3−333−3−3−3−33333000033−3−33333−3−3−3−30000−2i2i2i−2i00000000i3−i3−i3i30000i−i−ii000000
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-21111-2-2111-2-2-2-211111111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-21111-2-2111-2-2-2-21111111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
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χ6544444-4-4-2-2-4-44-2-222222222-2-2-2-21000022-1-1-1-1-2-211122-2-2-1-1-1-111110000000033-3-3-3-3330000000033-3-3-3-3330000000000000000000000000000000000
χ6644444-4-4-2-2-4-44-2-222222222-2-2-2-21000022-1-1-1-1-2-211122-2-2-1-1-1-1111100000000-3-33333-3-300000000-3-33333-3-30000000000000000000000000000000000
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χ684444-44-4-2-24-4-4-2-2-2-222-2-222-2-2-2-2100002-211-1-1221-1-12-22211-1-111-1-100002323−23−23−3−3−3−3333300002323−23−23−3−3−3−333330000000000000000000000000000000000
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χ704444-4-444-2-44-44-2-4-4-2-2-4-4-2-244-2-2-200004222-2-2-42-22242-4222-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000
χ714444-4-44-2-2-44-4-2-222-2-222-2-2-2-2-2-210000-22-1-111221-1-1-2222-1-11111-1-12323−23−230000−3−333−3−3332323−23−230000−3−333−3−3330000000000000000000000000000000000
χ724444-4-44-2-2-44-4-2-222-2-222-2-2-2-2-2-210000-22-1-111221-1-1-2222-1-11111-1-1−23−232323000033−3−333−3−3−23−232323000033−3−333−3−30000000000000000000000000000000000
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χ1154-4−4i4i000-2-200022−2i32i32i3−2i3−232323−232i−2i2i−2i12-2−2i2i00i3−i3−i3i300-1-3300003−3−33−ii3i−3i−1−31+3−1+31−3−1+31−3−1−31+3-112−3−2+32+3−2−3-11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11i−iζ2+2ζ7−ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ11i−i0000000000000000000000000000000000
χ1164-4−4i4i000-2-200022−2i32i32i3−2i3−232323−232i−2i2i−2i1-222i−2i00i3−i3−i3i300-1-3300003−3−33−ii3i−3i1+3−1−31−3−1+31−3−1+31+3−1−31-1−2+32−3−2−32+31-1−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ii−ζ2−2ζ7+ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ11−ii0000000000000000000000000000000000
χ1174-4−4i4i000-2-2000222i3−2i3−2i32i323−23−23232i−2i2i−2i12-2−2i2i00−i3i3i3−i300-1-330000−333−3−ii3i−3i−1+31−3−1−31+3−1−31+3−1+31−3-112+3−2−32−3−2+3-11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11i−i−ζ2+2ζ7+ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ11i−i0000000000000000000000000000000000
χ1184-4−4i4i000-2-2000222i3−2i3−2i32i323−23−23232i−2i2i−2i1-222i−2i00−i3i3i3−i300-1-330000−333−3−ii3i−3i1−3−1+31+3−1−31+3−1−31−3−1+31-1−2−32+3−2+32−31-1ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−iiζ2−2ζ7−ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11−ii0000000000000000000000000000000000
χ1194-4−4i4i000-2-2000222i3−2i32i3−2i323−2323−232i−2i2i−2i12-2−2i2i00−i3i3−i3i300-13-30000−33−33−ii−3i3i−1+31−3−1−31+3−1+31−3−1−31+32−3−2+3-11-112+3−2−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+2ζ7−ζ10+2ζ11−ζ2−2ζ7+ζ10−2ζ11i−ii−i−ζ2+2ζ7+ζ10+2ζ11ζ2−2ζ7−ζ10−2ζ110000000000000000000000000000000000
χ1204-4−4i4i000-2-2000222i3−2i32i3−2i323−2323−232i−2i2i−2i1-222i−2i00−i3i3−i3i300-13-30000−33−33−ii−3i3i1−3−1+31+3−1−31−3−1+31+3−1−3−2+32−31-11-1−2−32+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−2ζ7+ζ10−2ζ11ζ2+2ζ7−ζ10+2ζ11−ii−iiζ2−2ζ7−ζ10−2ζ11−ζ2+2ζ7+ζ10+2ζ110000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.