Finite Group Databasebeta

← Group #13161772

Character table — Group #13161772

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1122222222222444444444444444444444444444444444488888888888888888888888888888888889918181818181818363636363636363636363636363636367272727272727272
order122333446661212333336666666688121212121212121212121212121212242424246666612121212122424242424242424242424242424242424242424242424244422466121222446888888122424242466121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1-111
χ511111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1111111-1-1-1-111
χ811111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-11111-1-11111-1-1
χ9111111-1-1111-1-11111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-11-1-1111-11-1-1i−ii−ii−i1ii−i−i1-11-1i−ii−i
χ10111111-1-1111-1-11111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i11-1-11-1-111-11-11-1i−i−ii−ii1ii−i−i-11-11−ii−ii
χ11111111-1-1111-1-11111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111-111-1-11-1-111−iii−i−ii-1−i−iii1-1-11i−i−ii
χ12111111-1-1111-1-11111111111111i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11111-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-1-111-111-1-1-111-11−ii−iii−i-1−i−iii-111-1−iii−i
χ13111111-1-1111-1-11111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-11-1-1111-11-1-1−ii−ii−ii1−i−iii1-11-1−ii−ii
χ14111111-1-1111-1-11111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii11-1-11-1-111-11-11-1−iii−ii−i1−i−iii-11-11i−ii−i
χ15111111-1-1111-1-11111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111-111-1-11-1-111i−i−iii−i-1ii−i−i1-1-11−iii−i
χ16111111-1-1111-1-11111111111111−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-1-111-111-1-1-111-11i−ii−i−ii-1ii−i−i-111-1i−i−ii
χ1722222-122-122222-1-1-1-122-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-10000000002200000220000000-1-100-1-100
χ1822222-122-122222-1-1-1-122-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000-2-200000-2-2000000011001100
χ1922222-122-122222-1-1-1-122-12-1-1-1-1-2-22-1222-1-1-1-1-1-1-1-1-12-2-2-2-22-1-1-1-12-1-1-1-1-2-2-2111111111-2-2-21111111110000000002200000-2-20000000-1-1001100
χ2022222-122-122222-1-1-1-122-12-1-1-1-1-2-22-1222-1-1-1-1-1-1-1-1-12-2-2-2-22-1-1-1-12-1-1-1-1-2-2-2111111111-2-2-2111111111000000000-2-2000002200000001100-1-100
χ2122222-1-2-2-122-2-22-1-1-1-122-12-1-1-1-12i−2i-21-2-2-2111111111-22i2i−2i−2i2-1-1-1-1-211112i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2iiiiiiiiii0000000002-2000002i−2i0000000-1100−ii00
χ2222222-1-2-2-122-2-22-1-1-1-122-12-1-1-1-12i−2i-21-2-2-2111111111-22i2i−2i−2i2-1-1-1-1-211112i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2iiiiiiiiii000000000-2200000−2i2i00000001-100i−i00
χ2322222-1-2-2-122-2-22-1-1-1-122-12-1-1-1-1−2i2i-21-2-2-2111111111-2−2i−2i2i2i2-1-1-1-1-21111−2i−2i−2iiiiiiiiii2i2i2i−i−i−i−i−i−i−i−i−i0000000002-200000−2i2i0000000-1100i−i00
χ2422222-1-2-2-122-2-22-1-1-1-122-12-1-1-1-1−2i2i-21-2-2-2111111111-2−2i−2i2i2i2-1-1-1-1-21111−2i−2i−2iiiiiiiiii2i2i2i−i−i−i−i−i−i−i−i−i000000000-22000002i−2i00000001-100−ii00
χ252222-12222-12-1-1-12-1-1-12-12-12-1-1-122-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-12-1-1-12-1-1222-1-1-1-1-1-12-1-1222-1-1-1-1-1-122222-1-1-1-10000-1220000-1-1-1-1-100000000
χ262222-12222-12-1-1-12-1-1-12-12-12-1-1-122-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-12-1-1-12-1-1222-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-2-2-2-2-2111100001-2-200001111100000000
χ272222-12222-12-1-1-12-1-1-12-12-12-1-1-1-2-2-122-1-122-1-1-1-1-1-1221111-12-1-1-1-12-1-1-1-211-2-2-2111111-211-2-2-211111122222-1-1-1-10000-1-2-20000-1111100000000
χ282222-12222-12-1-1-12-1-1-12-12-12-1-1-1-2-2-122-1-122-1-1-1-1-1-1221111-12-1-1-1-12-1-1-1-211-2-2-2111111-211-2-2-2111111-2-2-2-2-21111000012200001-1-1-1-100000000
χ292222-12-2-22-1211-12-1-1-12-12-12-1-1-12i−2i1-2-211-2-2111111-2-2−i−iii-12-1-1-11-21112i−i−i2i2i2i−i−i−i−i−i−i−2iii−2i−2i−2iiiiiii22-2-2211-1-1000012i−2i0000-1−i−iii00000000
χ302222-12-2-22-1211-12-1-1-12-12-12-1-1-12i−2i1-2-211-2-2111111-2-2−i−iii-12-1-1-11-21112i−i−i2i2i2i−i−i−i−i−i−i−2iii−2i−2i−2iiiiiii-2-222-2-1-1110000-1−2i2i00001ii−i−i00000000
χ312222-12-2-22-1211-12-1-1-12-12-12-1-1-1−2i2i1-2-211-2-2111111-2-2ii−i−i-12-1-1-11-2111−2iii−2i−2i−2iiiiiii2i−i−i2i2i2i−i−i−i−i−i−i22-2-2211-1-100001−2i2i0000-1ii−i−i00000000
χ322222-12-2-22-1211-12-1-1-12-12-12-1-1-1−2i2i1-2-211-2-2111111-2-2ii−i−i-12-1-1-11-2111−2iii−2i−2i−2iiiiiii2i−i−i2i2i2i−i−i−i−i−i−i-2-222-2-1-1110000-12i−2i00001−i−iii00000000
χ33222-1222222-122-1-12-1-1-122-1-12-1-12222-1-1-1-1-122-1-1-1-12-12222-1-12-1-1-1-12-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1000000000002200000220000000-1-100-1-1
χ34222-1222222-122-1-12-1-1-122-1-12-1-12222-1-1-1-1-122-1-1-1-12-12222-1-12-1-1-1-12-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-122-1-1-1-100000000000-2-200000-2-20000000110011
χ35222-1222222-122-1-12-1-1-122-1-12-1-1-2-222-1-1-1-1-122-1-1-1-12-1-2-2-2-2-1-12-1-1-1-12-1-1111-211-2-21111111-211-2-21111000000000002200000-2-20000000-1-10011
χ36222-1222222-122-1-12-1-1-122-1-12-1-1-2-222-1-1-1-1-122-1-1-1-12-1-2-2-2-2-1-12-1-1-1-12-1-1111-211-2-21111111-211-2-2111100000000000-2-2000002200000001100-1-1
χ37222-122-2-222-1-2-2-1-12-1-1-122-1-12-1-12i−2i-2-211111-2-21111-212i2i−2i−2i-1-12-1-111-211−i−i−i2i−i−i2i2i−i−i−i−iiii−2iii−2i−2iiiii000000000002-2000002i−2i0000000-1100−ii
χ38222-122-2-222-1-2-2-1-12-1-1-122-1-12-1-12i−2i-2-211111-2-21111-212i2i−2i−2i-1-12-1-111-211−i−i−i2i−i−i2i2i−i−i−i−iiii−2iii−2i−2iiiii00000000000-2200000−2i2i00000001-100i−i
χ39222-122-2-222-1-2-2-1-12-1-1-122-1-12-1-1−2i2i-2-211111-2-21111-21−2i−2i2i2i-1-12-1-111-211iii−2iii−2i−2iiiii−i−i−i2i−i−i2i2i−i−i−i−i000000000002-200000−2i2i0000000-1100i−i
χ40222-122-2-222-1-2-2-1-12-1-1-122-1-12-1-1−2i2i-2-211111-2-21111-21−2i−2i2i2i-1-12-1-111-211iii−2iii−2i−2iiiii−i−i−i2i−i−i2i2i−i−i−i−i00000000000-22000002i−2i00000001-100−ii
χ4122-22222-22222222222-2-2-22222200-2222222222222-2-20000-2-2-2-2-2-2-2-2-2-2000000000000000000000000222-2-222220000-2000000-2000000000000
χ4222-22222-22222222222-2-2-22222200-2222222222222-2-20000-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-222-2-2-2-2000020000002000000000000
χ4322-2222-22222-2-222222-2-2-222222002-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-2-22222200000000000000000000000022-22-2-2-22200002000000-2000000000000
χ4422-2222-22222-2-222222-2-2-222222002-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-2-222222000000000000000000000000-2-22-2222-2-20000-20000002000000000000
χ4522-22-122-22-12-1-1-12-1-1-1-21-2-12-1-1-100122-1-122-1-1-1-1-1-1-2-2−i3i3−i3i31-21111-21110−i3i3000−i3i3−i3−i3i3i30−i3i3000−i3i3−i3−i3i3i3222-2-2-1-1-1-1000010000001−i3i3−i3i300000000
χ4622-22-122-22-12-1-1-12-1-1-1-21-2-12-1-1-100122-1-122-1-1-1-1-1-1-2-2−i3i3−i3i31-21111-21110−i3i3000−i3i3−i3−i3i3i30−i3i3000−i3i3−i3−i3i3i3-2-2-22211110000-1000000-1i3−i3i3−i300000000
χ4722-22-122-22-12-1-1-12-1-1-1-21-2-12-1-1-100122-1-122-1-1-1-1-1-1-2-2i3−i3i3−i31-21111-21110i3−i3000i3−i3i3i3−i3−i30i3−i3000i3−i3i3i3−i3−i3222-2-2-1-1-1-1000010000001i3−i3i3−i300000000
χ4822-22-122-22-12-1-1-12-1-1-1-21-2-12-1-1-100122-1-122-1-1-1-1-1-1-2-2i3−i3i3−i31-21111-21110i3−i3000i3−i3i3i3−i3−i30i3−i3000i3−i3i3i3−i3−i3-2-2-22211110000-1000000-1−i3i3−i3i300000000
χ4922-22-12-222-1211-12-1-1-1-21-2-12-1-1-100-1-2-211-2-2111111223−3−331-2111-12-1-1-103−30003−333−3−30−33000−33−3−33322-22-211-1-10000-100000013−3−3300000000
χ5022-22-12-222-1211-12-1-1-1-21-2-12-1-1-100-1-2-211-2-2111111223−3−331-2111-12-1-1-103−30003−333−3−30−33000−33−3−333-2-22-22-1-11100001000000-1−333−300000000
χ5122-22-12-222-1211-12-1-1-1-21-2-12-1-1-100-1-2-211-2-211111122−333−31-2111-12-1-1-10−33000−33−3−33303−30003−333−3−322-22-211-1-10000-10000001−333−300000000
χ5222-22-12-222-1211-12-1-1-1-21-2-12-1-1-100-1-2-211-2-211111122−333−31-2111-12-1-1-10−33000−33−3−33303−30003−333−3−3-2-22-22-1-11100001000000-13−3−3300000000
χ534444-2-244-2-24-2-2-2-21114-2-2-2-211144-2-24-2-2-2-2111111-24-2-2-2-2-2-2111-2-21114-2-2-2-2-21111114-2-2-2-2-2111111000000000000000000000000000000000
χ544444-2-244-2-24-2-2-2-21114-2-2-2-2111-4-4-2-24-2-2-2-2111111-242222-2-2111-2-2111-422222-1-1-1-1-1-1-422222-1-1-1-1-1-1000000000000000000000000000000000
χ554444-2-2-4-4-2-2422-2-21114-2-2-2-21114i−4i22-42222-1-1-1-1-1-12-4−2i−2i2i2i-2-211122-1-1-14i−2i−2i−2i−2i−2iiiiiii−4i2i2i2i2i2i−i−i−i−i−i−i000000000000000000000000000000000
χ564444-2-2-4-4-2-2422-2-21114-2-2-2-2111−4i4i22-42222-1-1-1-1-1-12-42i2i−2i−2i-2-211122-1-1-1−4i2i2i2i2i2i−i−i−i−i−i−i4i−2i−2i−2i−2i−2iiiiiii000000000000000000000000000000000
χ57444-24-244-24-244-21-211-24-2-21-211444-2-2-2-211-2-21111-2-24444-21-211-21-211-2-2-2-211-2-21111-2-2-2-211-2-21111000000000000000000000000000000000
χ58444-24-244-24-244-21-211-24-2-21-211-4-44-2-2-2-211-2-21111-2-2-4-4-4-4-21-211-21-2112222-1-122-1-1-1-12222-1-122-1-1-1-1000000000000000000000000000000000
χ59444-24-2-4-4-24-2-4-4-21-211-24-2-21-2114i−4i-42222-1-122-1-1-1-1224i4i−4i−4i-21-2112-12-1-1−2i−2i−2i−2iii−2i−2iiiii2i2i2i2i−i−i2i2i−i−i−i−i000000000000000000000000000000000
χ60444-24-2-4-4-24-2-4-4-21-211-24-2-21-211−4i4i-42222-1-122-1-1-1-122−4i−4i4i4i-21-2112-12-1-12i2i2i2i−i−i2i2i−i−i−i−i−2i−2i−2i−2iii−2i−2iiiii000000000000000000000000000000000
χ61444-2-24444-2-2-2-21-2-211-2-241-2-21144-24-211-2-2-2-211114-2-2-2-2-21-2-2111-2-211-2114-2-2-2-21111-2114-2-2-2-21111000000000000000000000000000000000
χ62444-2-24444-2-2-2-21-2-211-2-241-2-211-4-4-24-211-2-2-2-211114-222221-2-2111-2-2112-1-1-42222-1-1-1-12-1-1-42222-1-1-1-1000000000000000000000000000000000
χ63444-2-24-4-44-2-2221-2-211-2-241-2-2114i−4i2-42-1-12222-1-1-1-1-42−2i−2i2i2i1-2-211-122-1-1−2iii4i−2i−2i−2i−2iiiii2i−i−i−4i2i2i2i2i−i−i−i−i000000000000000000000000000000000
χ64444-2-24-4-44-2-2221-2-211-2-241-2-211−4i4i2-42-1-12222-1-1-1-1-422i2i−2i−2i1-2-211-122-1-12i−i−i−4i2i2i2i2i−i−i−i−i−2iii4i−2i−2i−2i−2iiiii000000000000000000000000000000000
χ65444-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i3244-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-211-21111−1−3i32−1+3i32−1−3i32−1+3i32-211-21111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000
χ66444-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i32-4-4-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-22222111−1−3i32−1+3i32111−1−3i32−1+3i322-1-12-1-1-1-11+3i321−3i321+3i321−3i322-1-12-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
χ67444-2-2-244-2-2-2-2-2111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i3244-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-211-21111−1+3i32−1−3i32−1+3i32−1−3i32-211-21111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000
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χ70444-2-2-2-4-4-2-2-222111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i32−4i4i222-1-1-1-1-1-11+3i321+3i321−3i321−3i32222i2i−2i−2i111−1−3i32−1+3i32-1-1-11+3i321−3i322i−i−i2i−i−i−i−iζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11−2iii−2iiiii−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ11000000000000000000000000000000000
χ71444-2-2-2-4-4-2-2-222111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i324i−4i222-1-1-1-1-1-11−3i321−3i321+3i321+3i3222−2i−2i2i2i111−1+3i32−1−3i32-1-1-11−3i321+3i32−2iii−2iiiii2ζ7−ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ112i−i−i2i−i−i−i−i−2ζ7+ζ11ζ7−2ζ11−2ζ7+ζ11ζ7−2ζ11000000000000000000000000000000000
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χ7344-444-24-4-244444-2-2-2-2-4-424-2-2-2-200-4-2444-2-2-2-2-2-2-2-22-40000-42222-42222000000000000000000000000000000000000000000000000000000000
χ7444-444-2-44-244-4-44-2-2-2-2-4-424-2-2-2-20042-4-4-422222222-240000-422224-2-2-2-2000000000000000000000000000000000000000000000000000000000
χ7544-44-2-24-4-2-24-2-2-2-2111-422-2-2111002-24-2-2-2-21111112-4−2i32i3−2i32i322-1-1-122-1-1-10−2i32i3000i3−i3i3i3−i3−i30−2i32i3000i3−i3i3i3−i3−i3000000000000000000000000000000000
χ7644-44-2-24-4-2-24-2-2-2-2111-422-2-2111002-24-2-2-2-21111112-42i3−2i32i3−2i322-1-1-122-1-1-102i3−2i3000−i3i3−i3−i3i3i302i3−2i3000−i3i3−i3−i3i3i3000000000000000000000000000000000
χ7744-44-2-2-44-2-2422-2-2111-422-2-211100-22-42222-1-1-1-1-1-1-2423−23−232322-1-1-1-2-2111023−23000−33−3−3330−23230003−333−3−3000000000000000000000000000000000
χ7844-44-2-2-44-2-2422-2-2111-422-2-211100-22-42222-1-1-1-1-1-1-24−232323−2322-1-1-1-2-21110−23230003−333−3−3023−23000−33−3−333000000000000000000000000000000000
χ7944-4-2444-444-244-2-24-2-22-4-4-2-24-2-200-44-2-2-2-2-244-2-2-2-2-42000022-42222-422000000000000000000000000000000000000000000000000000000000
χ8044-4-244-4444-2-4-4-2-24-2-22-4-4-2-24-2-2004-422222-4-422224-2000022-422-2-24-2-2000000000000000000000000000000000000000000000000000000000
χ8144-4-24-24-4-24-244-21-2112-42-21-21100-4-2-2-2-211-2-211112200002-12-1-12-12-1-100003-3003-3-3300003-3003-3-33000000000000000000000000000000000
χ8244-4-24-24-4-24-244-21-2112-42-21-21100-4-2-2-2-211-2-211112200002-12-1-12-12-1-10000-3300-333-30000-3300-333-3000000000000000000000000000000000
χ8344-4-24-2-44-24-2-4-4-21-2112-42-21-2110042222-1-122-1-1-1-1-2-200002-12-1-1-21-21100003i−3i003i−3i−3i3i0000−3i3i00−3i3i3i−3i000000000000000000000000000000000
χ8444-4-24-2-44-24-2-4-4-21-2112-42-21-2110042222-1-122-1-1-1-1-2-200002-12-1-1-21-2110000−3i3i00−3i3i3i−3i00003i−3i003i−3i−3i3i000000000000000000000000000000000
χ8544-4-2-244-44-2-2-2-21-2-21122-41-2-2110024-211-2-2-2-21111-42−2i32i3−2i32i3-122-1-1-122-1-10i3−i3000−2i32i3i3i3−i3−i30i3−i3000−2i32i3i3i3−i3−i3000000000000000000000000000000000
χ8644-4-2-244-44-2-2-2-21-2-21122-41-2-2110024-211-2-2-2-21111-422i3−2i32i3−2i3-122-1-1-122-1-10−i3i30002i3−2i3−i3−i3i3i30−i3i30002i3−2i3−i3−i3i3i3000000000000000000000000000000000
χ8744-4-2-24-444-2-2221-2-21122-41-2-21100-2-42-1-12222-1-1-1-14-223−23−2323-122-1-11-2-2110−3300023−23−3−33303−3000−232333−3−3000000000000000000000000000000000
χ8844-4-2-24-444-2-2221-2-21122-41-2-21100-2-42-1-12222-1-1-1-14-2−232323−23-122-1-11-2-21103−3000−232333−3−30−3300023−23−3−333000000000000000000000000000000000
χ8944-4-2-2-24-4-2-2-2-2-2111−1−3i32−1+3i32222111−1−3i32−1+3i32002-2-2111111−1−3i32−1−3i32−1+3i32−1+3i3222−2i32i3−2i32i3-1-1-11+3i321−3i32-1-1-11+3i321−3i320i3−i303-3i3−i3−3−i323−i323+i32−3+i320i3−i303-3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000
χ9044-4-2-2-24-4-2-2-2-2-2111−1−3i32−1+3i32222111−1−3i32−1+3i32002-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32222i3−2i32i3−2i3-1-1-11+3i321−3i32-1-1-11+3i321−3i320−i3i30-33−i3i33+i32−3+i32−3−i323−i320−i3i30-33−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000
χ9144-4-2-2-24-4-2-2-2-2-2111−1+3i32−1−3i32222111−1+3i32−1−3i32002-2-2111111−1+3i32−1+3i32−1−3i32−1−3i3222−2i32i3−2i32i3-1-1-11−3i321+3i32-1-1-11−3i321+3i320i3−i30-33i3−i33−i32−3−i32−3+i323+i320i3−i30-33i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000
χ9244-4-2-2-24-4-2-2-2-2-2111−1+3i32−1−3i32222111−1+3i32−1−3i32002-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32222i3−2i32i3−2i3-1-1-11−3i321+3i32-1-1-11−3i321+3i320−i3i303-3−i3i3−3+i323+i323−i32−3−i320−i3i303-3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000
χ9344-4-2-2-2-44-2-2-222111−1−3i32−1+3i32222111−1−3i32−1+3i3200-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-223−23−2323-1-1-11+3i321−3i32111−1−3i32−1+3i320−3303i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ1103−30−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000
χ9444-4-2-2-2-44-2-2-222111−1−3i32−1+3i32222111−1−3i32−1+3i3200-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-2−232323−23-1-1-11+3i321−3i32111−1−3i32−1+3i3203−30−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ110−3303i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000
χ9544-4-2-2-2-44-2-2-222111−1+3i32−1−3i32222111−1+3i32−1−3i3200-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-223−23−2323-1-1-11−3i321+3i32111−1+3i32−1−3i320−330−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ1103−303i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000
χ9644-4-2-2-2-44-2-2-222111−1+3i32−1−3i32222111−1+3i32−1−3i3200-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-2−232323−23-1-1-11−3i321+3i32111−1+3i32−1−3i3203−303i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ110−330−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000
χ974-4044400-4-4-40044444000-4-4-4-4-400000000000000000000000000000000000000000000000000000004i−4i000004i−4i000000000000000000000000
χ984-4044400-4-4-40044444000-4-4-4-4-40000000000000000000000000000000000000000000000000000000−4i4i00000−4i4i000000000000000000000000
χ994-404-2400-42-423−23-24-2-2-20002-42220000023−230023−2323−2323−2300000000000000000000000000000000000000004i−4i000−2i32i3−2i2i000000000000000000000000
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χ1014-404-2400-42-4−2323-24-2-2-20002-422200000−232300−2323−2323−232300000000000000000000000000000000000000004i−4i0002i3−2i3−2i2i000000000000000000000000
χ1024-404-2400-42-4−2323-24-2-2-20002-422200000−232300−2323−2323−23230000000000000000000000000000000000000000−4i4i000−2i32i32i−2i000000000000000000000000
χ1038-8088-4004-8-8008-4-4-4-4000-844440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-808-4-40044-843−43-4-422200044-2-2-20000043−4300−2323−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-808-4-40044-8−4343-4-422200044-2-2-200000−43430023−2323−2323−230000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-80-48800-8-8400-4-48-4-400044-8440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-80-48-4004-8400-42-4220004-24-2-200000006i−6i006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-80-48-4004-8400-42-4220004-24-2-20000000−6i6i00−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-80-4-4800-84443−432-4-422000-244-2-200000−23230043−43−2323−23230000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-80-4-4800-844−43432-4-422000-244-2-20000023−2300−434323−2323−230000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-80-4-4-40044443−43222−1−3i3−1+3i3000-2-2-21+3i31−3i300000−23236i−6i−23232ζ7+4ζ11−2ζ7−4ζ11−4ζ7−2ζ114ζ7+2ζ110000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-80-4-4-40044443−43222−1+3i3−1−3i3000-2-2-21−3i31+3i300000−2323−6i6i−2323−4ζ7−2ζ114ζ7+2ζ112ζ7+4ζ11−2ζ7−4ζ110000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-80-4-4-400444−4343222−1−3i3−1+3i3000-2-2-21+3i31−3i30000023−23−6i6i23−23−2ζ7−4ζ112ζ7+4ζ114ζ7+2ζ11−4ζ7−2ζ110000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-80-4-4-400444−4343222−1+3i3−1−3i3000-2-2-21−3i31+3i30000023−236i−6i23−234ζ7+2ζ11−4ζ7−2ζ11−2ζ7−4ζ112ζ7+4ζ110000000000000000000000000000000000000000000000000000000000000000000000000

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