Finite Group Databasebeta

← Group #13178234

Character table — Group #13178234

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order122222333666666666333334466666666666666666666612121212666666666612121212121212121212121212121212121212121212121222224444446666222444466666612121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-11-1111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1111-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-11-11-1-111111111-1-1-1-1-1-111
χ811111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-11-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-1-1-111-1-111-1-111-1-1-111-1
χ101111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-111-1-1-1-11111-1-1-1-1111-1-11
χ111111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-11-1111111-1-1-1-111-1-111-11-11
χ121111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-1-111-1-111-1-11111-1-11-11-1
χ131111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-11-1-1-11-1-111-1-1-1-11111-1-11-1-11
χ141111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-11-1111-1-1-1-1-111-1-111-1-111-111-1
χ151111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11-11-111-11111-1-111-1-1-1-1111-11-1
χ161111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111-11-1-1111-1-11111-1-111-1-1-11-11
χ1722222222-122-1-1-122222-1-1-1-1222222-1-12-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100220000000000022200000-1-1-1-100000000-1-100
χ1822222222-122-1-1-122222-1-1-1-1222222-1-12-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200000000000-2-2-2000001111000000001100
χ1922222222-122-1-1-122222-1-1-1-1-2-22222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-111-2-2-2-211111111-2-2111111110022000000000002-2-200000-1-1-1-1000000001100
χ2022222222-122-1-1-122222-1-1-1-1-2-22222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-111-2-2-2-211111111-2-21111111100-2-200000000000-22200000111100000000-1-100
χ212222222-122-12222-1-12-12-1-1-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200222200-1-1-1-12000000-1-10000-1-1-1-100000000
χ222222222-122-12222-1-12-12-1-1-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2-2-2001111-2000000110000111100000000
χ232222222-122-12222-1-12-12-1-1-1-2-222-1-122-12-1-1-1-1-122-1-1-1-1-1-11111-1-122-1-1-1-1-1-1-2-2-2-211-2-211111111-2-21111112200-2-2-2-200-1-1-1-12000000-1-10000111100000000
χ242222222-122-12222-1-12-12-1-1-1-2-222-1-122-12-1-1-1-1-122-1-1-1-1-1-11111-1-122-1-1-1-1-1-1-2-2-2-211-2-211111111-2-2111111-2-2002222001111-2000000110000-1-1-1-100000000
χ25222222-122-12222-122-1-1-12-1-122-1-12222-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000022000000002220000000000-1-1-1-100-1-1
χ26222222-122-12222-122-1-1-12-1-122-1-12222-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000-2-200000000-2-2-2000000000011110011
χ27222222-122-12222-122-1-1-12-1-1-2-2-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-2111111-2-211111111-2-21111000000002200000000-22-20000000000-1-1-1-10011
χ28222222-122-12222-122-1-1-12-1-1-2-2-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-2111111-2-211111111-2-2111100000000-2-2000000002-220000000000111100-1-1
χ292222-2-222-122-1-1-122222-1-1-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-211111111-112-222-1-1-1-1-1-1-1-1-2-211111111002200000000000-2-2200000-1-111000000001-100
χ302222-2-222-122-1-1-122222-1-1-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-211111111-112-222-1-1-1-1-1-1-1-1-2-21111111100-2-20000000000022-20000011-1-100000000-1100
χ312222-2-222-122-1-1-122222-1-1-1-1-22-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-222-2-2111111111-1-22-2-21111111122-1-1-1-1-1-1-1-1002200000000000-22-200000-1-11100000000-1100
χ322222-2-222-122-1-1-122222-1-1-1-1-22-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-222-2-2111111111-1-22-2-21111111122-1-1-1-1-1-1-1-100-2-2000000000002-220000011-1-1000000001-100
χ332222-2-22-122-12222-1-12-12-1-1-12-2-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-21111112-22-2-1-122-1-1-1-1-1-111-2-2111111220022-2-200-1-1-1-1-2000000110000-1-11100000000
χ342222-2-22-122-12222-1-12-12-1-1-12-2-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-21111112-22-2-1-122-1-1-1-1-1-111-2-2111111-2-200-2-2220011112000000-1-1000011-1-100000000
χ352222-2-22-122-12222-1-12-12-1-1-1-22-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-111-1-111-2-2111111-22-2211-2-2111111-1-122-1-1-1-1-1-12200-2-22200-1-1-1-1-200000011000011-1-100000000
χ362222-2-22-122-12222-1-12-12-1-1-1-22-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-111-1-111-2-2111111-22-2211-2-2111111-1-122-1-1-1-1-1-1-2-20022-2-20011112000000-1-10000-1-11100000000
χ372222-2-2-122-12222-122-1-1-12-1-12-211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-211112-2-11-1-1-1-122-1-1-1-11111-2-211110000000022000000002-2-20000000000-1-11100-11
χ382222-2-2-122-12222-122-1-1-12-1-12-211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-211112-2-11-1-1-1-122-1-1-1-11111-2-2111100000000-2-200000000-222000000000011-1-1001-1
χ392222-2-2-122-12222-122-1-1-12-1-1-2211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-21111-221-11111-2-21111-1-1-1-122-1-1-1-1000000002200000000-2-220000000000-1-111001-1
χ402222-2-2-122-12222-122-1-1-12-1-1-2211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-21111-221-11111-2-21111-1-1-1-122-1-1-1-100000000-2-20000000022-2000000000011-1-100-11
χ4122-2-22-222222-2-22-2-2-2-222222002-22-22-222222-2-2-2-2-2-2-2-2-2-200002-22-22-222-2-200000000000000000000000000002i−2i2i−2i00000000000000000002i−2i2i−2i00000000
χ4222-2-22-222222-2-22-2-2-2-222222002-22-22-222222-2-2-2-2-2-2-2-2-2-200002-22-22-222-2-20000000000000000000000000000−2i2i−2i2i0000000000000000000−2i2i−2i2i00000000
χ4322-2-22-22-122-1-2-22-211-2-12-1-1-1002-2-112-2-12-1-1-111-2-21111113−33−3-112-2-11-1-11100003−3003−333−3−33−3003−333−3−300002i−2i2i−2i00−i3−i3i3i30000000−i3i30000−ii−ii00000000
χ4422-2-22-22-122-1-2-22-211-2-12-1-1-1002-2-112-2-12-1-1-111-2-21111113−33−3-112-2-11-1-11100003−3003−333−3−33−3003−333−3−30000−2i2i−2i2i00i3i3−i3−i30000000i3−i30000i−ii−i00000000
χ4522-2-22-22-122-1-2-22-211-2-12-1-1-1002-2-112-2-12-1-1-111-2-2111111−33−33-112-2-11-1-1110000−3300−33−3−333−3300−33−3−33300002i−2i2i−2i00i3i3−i3−i30000000i3−i30000−ii−ii00000000
χ4622-2-22-22-122-1-2-22-211-2-12-1-1-1002-2-112-2-12-1-1-111-2-2111111−33−33-112-2-11-1-1110000−3300−33−3−333−3300−33−3−3330000−2i2i−2i2i00−i3−i3i3i30000000−i3i30000i−ii−i00000000
χ4722-2-2-2222222-2-22-2-2-2-22222200-22-22-2222222-2-2-2-2-2-2-2-2-2-20000-22-22-22-2-22200000000000000000000000000002i−2i−2i2i00000000000000000002i−2i−2i2i00000000
χ4822-2-2-2222222-2-22-2-2-2-22222200-22-22-2222222-2-2-2-2-2-2-2-2-2-20000-22-22-22-2-2220000000000000000000000000000−2i2i2i−2i0000000000000000000−2i2i2i−2i00000000
χ4922-2-2-222-122-1-2-22-211-2-12-1-1-100-221-1-22-12-1-1-111-2-21111113−3−331-1-221-111-1-100003−3003−333−3−3−3300−33−3−33300002i−2i−2i2i00−i3−i3i3i30000000i3−i30000−iii−i00000000
χ5022-2-2-222-122-1-2-22-211-2-12-1-1-100-221-1-22-12-1-1-111-2-21111113−3−331-1-221-111-1-100003−3003−333−3−3−3300−33−3−3330000−2i2i2i−2i00i3i3−i3−i30000000−i3i30000i−i−ii00000000
χ5122-2-2-222-122-1-2-22-211-2-12-1-1-100-221-1-22-12-1-1-111-2-2111111−333−31-1-221-111-1-10000−3300−33−3−3333−3003−333−3−300002i−2i−2i2i00i3i3−i3−i30000000−i3i30000−iii−i00000000
χ5222-2-2-222-122-1-2-22-211-2-12-1-1-100-221-1-22-12-1-1-111-2-2111111−333−31-1-221-111-1-10000−3300−33−3−3333−3003−333−3−30000−2i2i2i−2i00−i3−i3i3i30000000i3−i30000i−i−ii00000000
χ532-2-2200222-2-22-2-2-22-222222200000000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000002-22-200002-22-22-20000000002-20000002-2000000
χ542-2-2200222-2-22-2-2-22-222222200000000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000002-2-220000-222-22-2000000000-22000000-22000000
χ552-2-2200222-2-22-2-2-22-222222200000000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000-222-20000-22-22-220000000002-2000000-22000000
χ562-2-2200222-2-22-2-2-22-222222200000000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000-22-2200002-2-22-22000000000-220000002-2000000
χ574444444-2-24-2-2-2-24-2-24-2-21114444-2-2-2-2-2-2111-2-2-2-2111111-2-2-2-2-2-2-2-2111111-2-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ584444444-2-24-2-2-2-24-2-24-2-2111-4-444-2-2-2-2-2-2111-2-2-2-21111112222-2-2-2-211111122-4-42222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ59444444-24-2-24-2-2-2-244-2-21-21144-2-244-2-2-21-211-2-211-2-211114444-2-211-2-21111-2-2-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ60444444-24-2-24-2-2-2-244-2-21-211-4-4-2-244-2-2-21-211-2-211-2-21111-4-4-4-4-2-211-2-21111222222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ61444444-2-24-2-2444-2-2-2-21-2-21144-2-2-2-2441-2-21111-2-2-2-21111-2-2-2-211-2-2-2-2111144-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ62444444-2-24-2-2444-2-2-2-21-2-211-4-4-2-2-2-2441-2-21111-2-2-2-21111222211-2-2-2-21111-4-422-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ63444444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ64444444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i322222111111−1−3i32−1+3i32−1−3i32−1+3i322222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ65444444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ66444444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i322222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ674444-4-44-2-24-2-2-2-24-2-24-2-21114-4-4-42222-2-2111-2-2-2-2111111-2-2222222-1-1-1-1-1-1-224-4-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ684444-4-44-2-24-2-2-2-24-2-24-2-2111-44-4-42222-2-2111-2-2-2-211111122-2-22222-1-1-1-1-1-12-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ694444-4-4-24-2-24-2-2-2-244-2-21-2114-422-4-422-21-211-2-211-2-2111144-4-422-1-122-1-1-1-1-22-22-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ704444-4-4-24-2-24-2-2-2-244-2-21-211-4422-4-422-21-211-2-211-2-21111-4-44422-1-122-1-1-1-12-22-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
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χ8844-4-44-4-2-2-2-2-222-22222111−1+3i32−1−3i3200-22-22-22111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2323−23231-11-11-1−1+3i32−1−3i321−3i321+3i3200003−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
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χ9144-4-4-444-2-24-222-2-422-4-2-211100-442-22-2-2-21112222-1-1-1-1-1-1−232323−232-22-2-11-1-1110000−2323003−333−3−323−2300−33−3−333000000000000000000000000000000000000000
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χ9544-4-4-44-2-24-2-2-4-4422221-2-211002-22-2-441-2-211-1-12222-1-1-1-123−23−2323-112-22-2-1-1110000−330023−23−3−3333−300−232333−3−3000000000000000000000000000000000000000
χ9644-4-4-44-2-24-2-2-4-4422221-2-211002-22-2-441-2-211-1-12222-1-1-1-1−232323−23-112-22-2-1-11100003−300−232333−3−3−330023−23−3−333000000000000000000000000000000000000000
χ9744-4-4-44-2-2-2-2-222-22222111−1−3i32−1+3i32002-22-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−23−2323-11-11-111+3i321−3i32−1−3i32−1+3i320000−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ9844-4-4-44-2-2-2-2-222-22222111−1−3i32−1+3i32002-22-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−232323−23-11-11-111+3i321−3i32−1−3i32−1+3i3200003−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ9944-4-4-44-2-2-2-2-222-22222111−1+3i32−1−3i32002-22-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−23−2323-11-11-111−3i321+3i32−1+3i32−1−3i320000−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ10044-4-4-44-2-2-2-2-222-22222111−1+3i32−1−3i32002-22-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−232323−23-11-11-111−3i321+3i32−1+3i32−1−3i3200003−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ1014-44-400444-4-4-44-44-44-44444400000000-4-4-4-4-4-44-44-44-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1054-44-4004-24-42-44-442-2-4-24-2-2-2000000002-42222-2-442-222-2-20000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ1064-44-400-2442-4-44-4-2-442-2-24-2-20000000022-4222-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000023−230000
χ1074-44-400-2442-4-44-4-2-442-2-24-2-20000000022-4222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000000000−23230000
χ1084-4-440044-2-4-4-222-44-444-2-2-2-200000000-422224-4-22-22-2-22200000000000000000000000000000000000000004-40000000000000000000-2200000000000000
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χ1178-88-800-4-4-4444-44-44-44222−1−3i3−1+3i300000000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-800-4-4-4444-44-44-44222−1+3i3−1−3i300000000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88008-4-4-84-444-8-448-4-42220000000044-2-2-2-44-442-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1218-8-8800-4-48448-8-84-44-42-4-42200000000-244-2-22-2-44-4422-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-8800-4-4-444-4444-44-4222−1−3i3−1+3i300000000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-8800-4-4-444-4444-44-4222−1+3i3−1−3i300000000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000

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