Finite Group Databasebeta

← Group #11786592

Character table — Group #11786592

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444412121212121212122424242424242424242424242424242424242424363636367272
order12222233444466666666661212121234444666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122222444444666688121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1
χ911-1-11-111-1-11111-111-1-1-1-1-1-1-1111ii−i−i111-1-1-11-1-1111-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1i−ii−ii−i11-1-11-1ii−i−iii−i−i11-1-1i−ii−i1-1
χ1011-1-11-111-1-11111-111-1-1-1-1-1-1-1111ii−i−i111-1-1-11-1-1111-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-1−ii−iii−i11-1-1-11−i−iiiii−i−i-1-111−ii−ii-11
χ1111-1-11-111-1-11111-111-1-1-1-1-1-1-1111ii−i−i111-1-1-11-1-1111-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111i−ii−i−ii-1-1111-1ii−i−i−i−iii11-1-1−ii−ii-11
χ1211-1-11-111-1-11111-111-1-1-1-1-1-1-1111ii−i−i111-1-1-11-1-1111-1-1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111−ii−ii−ii-1-111-11−i−iii−i−iii-1-111i−ii−i1-1
χ1311-1-11-111-1-11111-111-1-1-1-1-1-1-1111−i−iii111-1-1-11-1-1111-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1i−ii−i−ii11-1-1-11ii−i−i−i−iii-1-111i−ii−i-11
χ1411-1-11-111-1-11111-111-1-1-1-1-1-1-1111−i−iii111-1-1-11-1-1111-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-1−ii−ii−ii11-1-11-1−i−iii−i−iii11-1-1−ii−ii1-1
χ1511-1-11-111-1-11111-111-1-1-1-1-1-1-1111−i−iii111-1-1-11-1-1111-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111i−ii−ii−i-1-111-11ii−i−iii−i−i-1-111−ii−ii1-1
χ1611-1-11-111-1-11111-111-1-1-1-1-1-1-1111−i−iii111-1-1-11-1-1111-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111−ii−iii−i-1-1111-1−i−iiiii−i−i11-1-1i−ii−i-11
χ1722222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000002-22-20000002-22-200000000000000000000
χ1822222222-2-2-2-22222222222-2-2-2-220000222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000-22-22000000-22-2200000000000000000000
χ192222222-12222-1-1-12-1-1-122-12222-122222-1-1-1-12-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000022-1-1-1-1000000-1-1-1-10000000000
χ202222222-12222-1-1-12-1-1-122-12222-122222-1-1-1-12-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-2-2111100000011110000000000
χ212222222-12222-1-1-12-1-1-122-12222-1-2-2-2-22-1-1-1-12-1-1-12-1-12-1-111111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-21111111122220000-2-2-1-1-1-100000011110000000000
χ222222222-12222-1-1-12-1-1-122-12222-1-2-2-2-22-1-1-1-12-1-1-12-1-12-1-111111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-20000221111000000-1-1-1-10000000000
χ232222222-1-2-2-2-2-1-1-12-1-1-122-1-2-2-2-2-100002-1-1-1-12-1-1-1-211-211−i3−i3i3i3−i3−i3i3i3111111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i32-22-2000000-11-11000000−i3i3−i3i30000000000
χ242222222-1-2-2-2-2-1-1-12-1-1-122-1-2-2-2-2-100002-1-1-1-12-1-1-1-211-211−i3−i3i3i3−i3−i3i3i3111111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i3-22-220000001-11-1000000i3−i3i3−i30000000000
χ252222222-1-2-2-2-2-1-1-12-1-1-122-1-2-2-2-2-100002-1-1-1-12-1-1-1-211-211i3i3−i3−i3i3i3−i3−i3111111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i32-22-2000000-11-11000000i3−i3i3−i30000000000
χ262222222-1-2-2-2-2-1-1-12-1-1-122-1-2-2-2-2-100002-1-1-1-12-1-1-1-211-211i3i3−i3−i3i3i3−i3−i3111111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-22-220000001-11-1000000−i3i3−i3i30000000000
χ27222222-122222222-1222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000022-1-1-1-10000-1-1-1-1000000
χ28222222-122222222-1222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-2111100001111000000
χ29222222-122222222-1222-1-12-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-122-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111111111111100002222000000-2-2-1-1-1-100001111000000
χ30222222-122222222-1222-1-12-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-122-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111111111110000-2-2-2-20000002211110000-1-1-1-1000000
χ312222-2-2222-22-2-2-2222-2-2222222220000-2-2-222-22-2-2-22-2-22-20000000022-2-222-2-2000000000000000000000000000000000000000000000000000022-2-200
χ322222-2-2222-22-2-2-2222-2-2222222220000-2-2-222-22-2-2-22-2-22-20000000022-2-222-2-20000000000000000000000000000000000000000000000000000-2-22200
χ332222-2-222-22-22-2-2222-2-2222-2-2-2-220000-2-2-222-22-2-22-222-2200000000-2-222-2-222000000000000000000000000000022-2-2000000002-22-200000000000000
χ342222-2-222-22-22-2-2222-2-2222-2-2-2-220000-2-2-222-22-2-22-222-2200000000-2-222-2-2220000000000000000000000000000-2-22200000000-22-2200000000000000
χ352222-2-2-12-22-22-2-22-12-2-2-1-121111-10000111-1-11-111-1-22-1-220000000011-1-111-1-133−3−333−3−333−3−333−3−333−3−333−3−3000022-2-200000000-11-1100003−33−3000000
χ362222-2-2-12-22-22-2-22-12-2-2-1-121111-10000111-1-11-111-1-22-1-220000000011-1-111-1-133−3−333−3−333−3−333−3−333−3−333−3−30000-2-222000000001-11-10000−33−33000000
χ372222-2-2-12-22-22-2-22-12-2-2-1-121111-10000111-1-11-111-1-22-1-220000000011-1-111-1-1−3−333−3−333−3−333−3−333−3−333−3−333000022-2-200000000-11-110000−33−33000000
χ382222-2-2-12-22-22-2-22-12-2-2-1-121111-10000111-1-11-111-1-22-1-220000000011-1-111-1-1−3−333−3−333−3−333−3−333−3−333−3−3330000-2-222000000001-11-100003−33−3000000
χ3922-2-22-22222-2-222-222-2-2-2-2-222-2-220000222-2-2-22-2-2-2-2-222200000000-2-2-2-222220000000000000000000000002-2-220000002-2-2200000000000000000000
χ4022-2-22-22222-2-222-222-2-2-2-2-222-2-220000222-2-2-22-2-2-2-2-222200000000-2-2-2-22222000000000000000000000000-222-2000000-222-200000000000000000000
χ4122-2-22-22-122-2-2-1-112-111-2-2122-2-2-100002-1-111-2-111-2112-1-133−3−3−3−3331111-1-1-1-100003333−3−3−3−30000−3−3−3−333332-2-22000000-111-10000003−3−330000000000
χ4222-2-22-22-122-2-2-1-112-111-2-2122-2-2-100002-1-111-2-111-2112-1-133−3−3−3−3331111-1-1-1-100003333−3−3−3−30000−3−3−3−33333-222-20000001-1-11000000−333−30000000000
χ4322-2-22-22-122-2-2-1-112-111-2-2122-2-2-100002-1-111-2-111-2112-1-1−3−33333−3−31111-1-1-1-10000−3−3−3−3333300003333−3−3−3−32-2-22000000-111-1000000−333−30000000000
χ4422-2-22-22-122-2-2-1-112-111-2-2122-2-2-100002-1-111-2-111-2112-1-1−3−33333−3−31111-1-1-1-10000−3−3−3−3333300003333−3−3−3−3-222-20000001-1-110000003−3−330000000000
χ4522-2-22-22-1-2-222-1-112-111-2-21-2-222-12i2i−2i−2i2-1-111-2-1112-1-1-211−i−i−i−iiiii-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii22-2-200002i−2i-1-111000000−i−iii0000000000
χ4622-2-22-22-1-2-222-1-112-111-2-21-2-222-12i2i−2i−2i2-1-111-2-1112-1-1-211−i−i−i−iiiii-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii-2-2220000−2i2i11-1-1000000ii−i−i0000000000
χ4722-2-22-22-1-2-222-1-112-111-2-21-2-222-1−2i−2i2i2i2-1-111-2-1112-1-1-211iiii−i−i−i−i-1-1-1-11111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i22-2-20000−2i2i-1-111000000ii−i−i0000000000
χ4822-2-22-22-1-2-222-1-112-111-2-21-2-222-1−2i−2i2i2i2-1-111-2-1112-1-1-211iiii−i−i−i−i-1-1-1-11111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i-2-22200002i−2i11-1-1000000−i−iii0000000000
χ4922-2-22-2-12-2-22222-2-12-2-211-211-1-1-12i2i−2i−2i-1-1-1111-111-1221-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii00002i−2i2i−2i0000002-2−i−iii0000-1-111000000
χ5022-2-22-2-12-2-22222-2-12-2-211-211-1-1-12i2i−2i−2i-1-1-1111-111-1221-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii0000−2i2i−2i2i000000-22ii−i−i000011-1-1000000
χ5122-2-22-2-12-2-22222-2-12-2-211-211-1-1-1−2i−2i2i2i-1-1-1111-111-1221-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i00002i−2i2i−2i000000-22−i−iii000011-1-1000000
χ5222-2-22-2-12-2-22222-2-12-2-211-211-1-1-1−2i−2i2i2i-1-1-1111-111-1221-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i0000−2i2i−2i2i0000002-2ii−i−i0000-1-111000000
χ5322-2-2-22222-2-22-2-2-22222-2-2-222-2-220000-2-2-2-2-222222-22-22-200000000-2-22222-2-200000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i00000000000000
χ5422-2-2-22222-2-22-2-2-22222-2-2-222-2-220000-2-2-2-2-222222-22-22-200000000-2-22222-2-20000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000
χ5522-2-2-2222-222-2-2-2-22222-2-2-2-2-22220000-2-2-2-2-22222-22-22-220000000022-2-2-2-22200000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ5622-2-2-2222-222-2-2-2-22222-2-2-2-2-22220000-2-2-2-2-22222-22-22-220000000022-2-2-2-2220000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ5722-2-2-22-122-2-22-2-2-2-122211-2-1-111-1000011111-1-1-1-1-1-2212-20000000011-1-1-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002i−2i−2i2i00000000−iii−i0000−333−3000000
χ5822-2-2-22-122-2-22-2-2-2-122211-2-1-111-1000011111-1-1-1-1-1-2212-20000000011-1-1-1-111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000−2i2i2i−2i00000000i−i−ii00003−3−33000000
χ5922-2-2-22-122-2-22-2-2-2-122211-2-1-111-1000011111-1-1-1-1-1-2212-20000000011-1-1-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002i−2i−2i2i00000000−iii−i00003−3−33000000
χ6022-2-2-22-122-2-22-2-2-2-122211-2-1-111-1000011111-1-1-1-1-1-2212-20000000011-1-1-1-111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−2i2i2i−2i00000000i−i−ii0000−333−3000000
χ61444444-24-4-4-4-4444-2444-2-242222-20000-2-2-2-2-2-2-2-2-22-4-42-4-400000000222222220000000000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-21111-2111-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-211111111-2-2-2-2111111110000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-21111-2111-2-2-2-2-2-222222222111111112222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-2111222222−2i3−2i32i32i3−2i3−2i32i32i3-1-1-1-1-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2222210000-21111-21112222222i32i3−2i3−2i32i32i3−2i3−2i3-1-1-1-1-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ664444-4-44-24-44-422-24-22244-24444-20000-422-2-2-4-222-4-22-4-2200000000-2-222-2-2220000000000000000000000000000000000000000000000000000000000
χ674444-4-44-2-44-4422-24-22244-2-4-4-4-4-20000-422-2-2-4-22242-242-20000000022-2-222-2-20000000000000000000000000000000000000000000000000000000000
χ684444-4-4-244-44-4-4-44-24-4-4-2-24-2-2-2-2-20000222-2-22-22224-424-400000000-2-222-2-2220000000000000000000000000000000000000000000000000000000000
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χ1144-4-4400-2-20000−2i32i32222i3−2i32-2-223−23−23231-222-20i3−i3-110-1−i3i30000001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i33−3−3i3i−333i−3i1−3−1+31+3−1−3−2ζ7−ζ10−ζ112ζ7+ζ10+ζ112ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ11−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ11−1+31−3−1−31+32ζ7+ζ10+ζ11−2ζ7−ζ10−ζ11−2ζ7+ζ10−ζ112ζ7−ζ10+ζ11ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ11ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ110000000000000000000000000000000000
χ1154-4-4400-2-20000−2i32i32222i3−2i32-2-2−232323−2312-2-220i3−i3-110-1−i3i3000000−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i3−333i−3i3−3−3i3i−1−31+3−1+31−3−2ζ7+ζ10−ζ112ζ7−ζ10+ζ112ζ7+ζ10+ζ11−2ζ7−ζ10−ζ11ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ11ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ111+3−1−31−3−1+32ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−2ζ7−ζ10−ζ112ζ7+ζ10+ζ11−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ11−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ110000000000000000000000000000000000
χ1164-4-4400-2-20000−2i32i32222i3−2i32-2-2−232323−231-222-20i3−i3-110-1−i3i30000001−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i3−333i−3i3−3−3i3i1+3−1−31−3−1+32ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−2ζ7−ζ10−ζ112ζ7+ζ10+ζ11−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ11−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ11−1−31+3−1+31−3−2ζ7+ζ10−ζ112ζ7−ζ10+ζ112ζ7+ζ10+ζ11−2ζ7−ζ10−ζ11ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ11ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ110000000000000000000000000000000000
χ1174-4-4400-2-200002i3−2i3222−2i32i32-2-223−23−232312-2-220−i3i3-110-1i3−i3000000−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i33−33i−3i−33−3i3i−1+31−3−1−31+3ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ11ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ112ζ7+ζ10+ζ11−2ζ7−ζ10−ζ11−2ζ7+ζ10−ζ112ζ7−ζ10+ζ111−3−1+31+3−1−3−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ11−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ11−2ζ7−ζ10−ζ112ζ7+ζ10+ζ112ζ7−ζ10+ζ11−2ζ7+ζ10−ζ110000000000000000000000000000000000
χ1184-4-4400-2-200002i3−2i3222−2i32i32-2-223−23−23231-222-20−i3i3-110-1i3−i30000001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i33−33i−3i−33−3i3i1−3−1+31+3−1−3−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ11−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ11−2ζ7−ζ10−ζ112ζ7+ζ10+ζ112ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−1+31−3−1−31+3ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ11ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ112ζ7+ζ10+ζ11−2ζ7−ζ10−ζ11−2ζ7+ζ10−ζ112ζ7−ζ10+ζ110000000000000000000000000000000000
χ1194-4-4400-2-200002i3−2i3222−2i32i32-2-2−232323−2312-2-220−i3i3-110-1i3−i3000000−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i3−33−3i3i3−33i−3i−1−31+3−1+31−3ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ11ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ11−2ζ7+ζ10−ζ112ζ7−ζ10+ζ112ζ7+ζ10+ζ11−2ζ7−ζ10−ζ111+3−1−31−3−1+3−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ11−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ112ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−2ζ7−ζ10−ζ112ζ7+ζ10+ζ110000000000000000000000000000000000
χ1204-4-4400-2-200002i3−2i3222−2i32i32-2-2−232323−231-222-20−i3i3-110-1i3−i30000001+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i3−33−3i3i3−33i−3i1+3−1−31−3−1+3−ζ2−ζ7−2ζ11ζ2+ζ7+2ζ11−ζ2+ζ7+2ζ11ζ2−ζ7−2ζ112ζ7−ζ10+ζ11−2ζ7+ζ10−ζ11−2ζ7−ζ10−ζ112ζ7+ζ10+ζ11−1−31+3−1+31−3ζ2+ζ7+2ζ11−ζ2−ζ7−2ζ11ζ2−ζ7−2ζ11−ζ2+ζ7+2ζ11−2ζ7+ζ10−ζ112ζ7−ζ10+ζ112ζ7+ζ10+ζ11−2ζ7−ζ10−ζ110000000000000000000000000000000000

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