Finite Group Databasebeta

← Group #11774031

Character table — Group #11774031

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222233444466666666663666666666121212121212121244442466666666121212121212121212121212448888121212121212121224668812122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1ii−i−i1111-1-1-1-1-11-1-1i−i11ii−i−iii−i−iii−i−ii−i
χ1011111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1−i−iii1111-1-1-1-1-11-1-1−ii11−i−iii−i−iii−i−iii−ii
χ1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111-1ii−i−i1111-1-1-1-11-111−ii-1-1ii−i−i−i−iiiii−i−i−ii
χ1211111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111-1−i−iii1111-1-1-1-11-111i−i-1-1−i−iiiii−i−i−i−iiii−i
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11ii−i−i-1-1-1-111111-111i−i-1-1ii−i−iii−i−i−i−iii−ii
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11−i−iii-1-1-1-111111-111−ii-1-1−i−iii−i−iiiii−i−ii−i
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-11ii−i−i-1-1-1-11111-11-1-1−ii11ii−i−i−i−iii−i−iiii−i
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-11−i−iii-1-1-1-11111-11-1-1i−i11−i−iiiii−i−iii−i−i−ii
χ172222222-122222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-122-1-100-1-100000000000000
χ182222222-122222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2111111-2-211-1-1-1-11111220000-1-1-1-1-1-1-1-1-2-211001100000000000000
χ192222222-122222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2000011111111-2-211001100000000000000
χ202222222-122222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2111111-2-211-1-1-1-11111-2-200001111111122-1-100-1-100000000000000
χ212222222-1-2-2-2-22-1-1-1-122-1-1-1-122-1-1-1-1-1-1-11111-2-2-2-222-2-22-222-1-1-1-1-1-1-2-211111111112-20000-1-1-1-11111-221100-1-100000000000000
χ222222222-1-2-2-2-22-1-1-1-122-1-1-1-122-1-1-1-1-1-1-11111-2-2-2-222-2-2-22-2-211111122-1-11111-1-1-1-12-20000-1-1-1-111112-2-1-1001100000000000000
χ232222222-1-2-2-2-22-1-1-1-122-1-1-1-122-1-1-1-1-1-1-11111-2-2-2-2-2-2222-222-1-1-1-1-1-1-2-21111111111-2200001111-1-1-1-12-2-1-1001100000000000000
χ242222222-1-2-2-2-22-1-1-1-122-1-1-1-122-1-1-1-1-1-1-11111-2-2-2-2-2-222-22-2-211111122-1-11111-1-1-1-1-2200001111-1-1-1-1-221100-1-100000000000000
χ25222222-122222-12222-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000022-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10022220000000000002200-1-1-1-1-1-1-1-1000000
χ26222222-122222-12222-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000022-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-2000000000000-2-20011111111000000
χ27222222-122222-12222-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-211-2-2111111-2-2-1-1-1-11111002222000000000000-2-200-1-1-1-11111000000
χ28222222-122222-12222-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-211-2-2111111-2-2-1-1-1-1111100-2-2-2-200000000000022001111-1-1-1-1000000
χ29222222-12-2-2-2-2-12222-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100002-2-1-122-1-1-1-111-2-211111111002i2i−2i−2i0000000000002i−2i00−i−iii−i−iii000000
χ30222222-12-2-2-2-2-12222-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100002-2-1-122-1-1-1-111-2-21111111100−2i−2i2i2i000000000000−2i2i00ii−i−iii−i−i000000
χ31222222-12-2-2-2-2-12222-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2211-2-21111-1-1221111-1-1-1-1002i2i−2i−2i000000000000−2i2i00−i−iiiii−i−i000000
χ32222222-12-2-2-2-2-12222-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2211-2-21111-1-1221111-1-1-1-100−2i−2i2i2i0000000000002i−2i00ii−i−i−i−iii000000
χ332222-2-22222-2-22-2-2-2-2222222-2-22-2-2-2-22222-2-222-2-222220000000000000022-2-20000-2-2000022-2-222-2-20000000000000000000000
χ342222-2-22222-2-22-2-2-2-2222222-2-22-2-2-2-22222-2-222-2-2-2-2-2-20000000000000022-2-20000220000-2-222-2-2220000000000000000000000
χ352222-2-222-2-2222-2-2-2-2222222-2-22-2-2-2-222-2-222-2-22222-2-200000000000000-2-2220000-22000022-2-2-2-2220000000000000000000000
χ362222-2-222-2-2222-2-2-2-2222222-2-22-2-2-2-222-2-222-2-222-2-22200000000000000-2-22200002-20000-2-22222-2-20000000000000000000000
χ372222-2-22-122-2-22111122-1-1-1-1-2-2-11111-1-1-1-11122-2-222220000−i3i3−i3−i3i3i300−i3i3-1-111−i3−i3i3i3-2-20000-1-111-1-11100−i3i300−i3i300000000000000
χ382222-2-22-122-2-22111122-1-1-1-1-2-2-11111-1-1-1-11122-2-222220000i3−i3i3i3−i3−i300i3−i3-1-111i3i3−i3−i3-2-20000-1-111-1-11100i3−i300i3−i300000000000000
χ392222-2-22-122-2-22111122-1-1-1-1-2-2-11111-1-1-1-11122-2-2-2-2-2-20000−i3i3−i3−i3i3i300−i3i3-1-111−i3−i3i3i322000011-1-111-1-100i3−i300i3−i300000000000000
χ402222-2-22-122-2-22111122-1-1-1-1-2-2-11111-1-1-1-11122-2-2-2-2-2-20000i3−i3i3i3−i3−i300i3−i3-1-111i3i3−i3−i322000011-1-111-1-100−i3i300−i3i300000000000000
χ412222-2-22-1-2-2222111122-1-1-1-1-2-2-11111-1-111-1-1-2-22222-2-20000−i3i3−i3−i3i3i300i3−i311-1-1i3i3−i3−i3-220000-1-11111-1-100i3−i300−i3i300000000000000
χ422222-2-22-1-2-2222111122-1-1-1-1-2-2-11111-1-111-1-1-2-22222-2-20000i3−i3i3i3−i3−i300−i3i311-1-1−i3−i3i3i3-220000-1-11111-1-100−i3i300i3−i300000000000000
χ432222-2-22-1-2-2222111122-1-1-1-1-2-2-11111-1-111-1-1-2-222-2-2220000−i3i3−i3−i3i3i300i3−i311-1-1i3i3−i3−i32-2000011-1-1-1-11100−i3i300i3−i300000000000000
χ442222-2-22-1-2-2222111122-1-1-1-1-2-2-11111-1-111-1-1-2-222-2-2220000i3−i3i3i3−i3−i300−i3i311-1-1−i3−i3i3i32-2000011-1-1-1-11100i3−i300−i3i300000000000000
χ452-22-22-2222i−2i2i−2i222-2-2-2-2-22-222-2222-2-2-2-22i−2i2i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i00000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300
χ462-22-22-2222i−2i2i−2i222-2-2-2-2-22-222-2222-2-2-2-22i−2i2i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i0000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300
χ472-22-22-222−2i2i−2i2i222-2-2-2-2-22-222-2222-2-2-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i0000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300
χ482-22-22-222−2i2i−2i2i222-2-2-2-2-22-222-2222-2-2-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000−2i2i−2i2i00000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300
χ492-22-2-22222i−2i−2i2i2-2-222-2-2-22-22-222-2-222-2-22i−2i−2i2i2i−2i−2i2i0000000000000000002i−2i−2i2i0000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000
χ502-22-2-22222i−2i−2i2i2-2-222-2-2-22-22-222-2-222-2-22i−2i−2i2i2i−2i−2i2i0000000000000000002i−2i−2i2i000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000
χ512-22-2-2222−2i2i2i−2i2-2-222-2-2-22-22-222-2-222-2-2−2i2i2i−2i−2i2i2i−2i000000000000000000−2i2i2i−2i000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000
χ522-22-2-2222−2i2i2i−2i2-2-222-2-2-22-22-222-2-222-2-2−2i2i2i−2i−2i2i2i−2i000000000000000000−2i2i2i−2i0000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000
χ532-22-2-22-122i−2i−2i2i-1-2-22211-22-2-11-1-111-1-1112i−2i−2i2i−iii−i000000−i3i300−i3i3−i3i33−300−iii−i3−33−3002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ542-22-2-22-122i−2i−2i2i-1-2-22211-22-2-11-1-111-1-1112i−2i−2i2i−iii−i000000−i3i300−i3i3−i3i33−300−iii−i3−33−300−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ552-22-2-22-122i−2i−2i2i-1-2-22211-22-2-11-1-111-1-1112i−2i−2i2i−iii−i000000i3−i300i3−i3i3−i3−3300−iii−i−33−33002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ562-22-2-22-122i−2i−2i2i-1-2-22211-22-2-11-1-111-1-1112i−2i−2i2i−iii−i000000i3−i300i3−i3i3−i3−3300−iii−i−33−3300−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ572-22-2-22-12−2i2i2i−2i-1-2-22211-22-2-11-1-111-1-111−2i2i2i−2ii−i−ii000000−i3i300−i3i3−i3i3−3300i−i−ii−33−3300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ582-22-2-22-12−2i2i2i−2i-1-2-22211-22-2-11-1-111-1-111−2i2i2i−2ii−i−ii000000−i3i300−i3i3−i3i3−3300i−i−ii−33−33002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ592-22-2-22-12−2i2i2i−2i-1-2-22211-22-2-11-1-111-1-111−2i2i2i−2ii−i−ii000000i3−i300i3−i3i3−i33−300i−i−ii3−33−300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ602-22-2-22-12−2i2i2i−2i-1-2-22211-22-2-11-1-111-1-111−2i2i2i−2ii−i−ii000000i3−i300i3−i3i3−i33−300i−i−ii3−33−3002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
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χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-20000-4-42222-1-1-1-122221111-1-1-1-1000000000000000000000000000000000000
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χ64444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000-442222-1-1-1-1-2-2-2-2-1-1-1-11111000000000000000000000000000000000000
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χ694444-4-4-2-2-4-444-22222-2-2-2-2-21221-1-1-1-11122-2-222-2-200000000−2i32i3i3i3−i3−i3002i3−2i3-1-111−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-4-2-2-4-444-22222-2-2-2-2-21221-1-1-1-11122-2-222-2-2000000002i3−2i3−i3−i3i3i300−2i32i3-1-111i3i3−i3−i3000000000000000000000000000000000000
χ7144-4-400440000-400004-44-4-4400-400004-4000000004i−4i0000000000000000000000000000004i−4i0000000000000000000000000000
χ7244-4-400440000-400004-44-4-4400-400004-400000000−4i4i000000000000000000000000000000−4i4i0000000000000000000000000000
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χ7444-4-4004-20000-4−2i32i3−2i32i34-4-222-2002−2i32i3−2i32i3-2200000000−4i4i0000000000000000000000000000002i−2i−232300000000000000000000000000
χ7544-4-4004-20000-42i3−2i32i3−2i34-4-222-20022i3−2i32i3−2i3-22000000004i−4i000000000000000000000000000000−2i2i−232300000000000000000000000000
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χ774-44-44-44-24i−4i4i−4i4-2-222-4-42-22-24-4-2-2-22222−2i2i−2i2i4i−4i4i−4i000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ784-44-44-44-2−4i4i−4i4i4-2-222-4-42-22-24-4-2-2-222222i−2i2i−2i−4i4i−4i4i0000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
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χ804-44-44-4-24−4i4i−4i4i-244-4-422-44-4-2-22-2-2-22222−4i4i−4i4i2i−2i2i−2i0000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ814-44-44-4-2-24i−4i4i−4i-2-2-222222-221-22111-1-1-1-1−2i2i−2i2i−2i2i−2i2i00000000003-3-330000i−ii−i3i−3i−3i3i000000000000000000000000000000000000
χ824-44-44-4-2-24i−4i4i−4i-2-2-222222-221-22111-1-1-1-1−2i2i−2i2i−2i2i−2i2i0000000000-333-30000i−ii−i−3i3i3i−3i000000000000000000000000000000000000
χ834-44-44-4-2-2−4i4i−4i4i-2-2-222222-221-22111-1-1-1-12i−2i2i−2i2i−2i2i−2i00000000003-3-330000−ii−ii−3i3i3i−3i000000000000000000000000000000000000
χ844-44-44-4-2-2−4i4i−4i4i-2-2-222222-221-22111-1-1-1-12i−2i2i−2i2i−2i2i−2i0000000000-333-30000−ii−ii3i−3i−3i3i000000000000000000000000000000000000
χ854-44-4-444-24i−4i−4i4i422-2-2-4-42-22-2-44-222-2-222−2i2i2i−2i4i−4i−4i4i000000000000000000−2i2i2i−2i0000000000000000000000000000000000000000
χ864-44-4-444-2−4i4i4i−4i422-2-2-4-42-22-2-44-222-2-2222i−2i−2i2i−4i4i4i−4i0000000000000000002i−2i−2i2i0000000000000000000000000000000000000000
χ874-44-4-44-2-24i−4i−4i4i-222-2-2222-2212-21-1-111-1-1−2i2i2i−2i−2i2i2i−2i000000−2i32i300i3−i3i3−i323−2300i−i−ii−33−33000000000000000000000000000000000000
χ884-44-4-44-2-24i−4i−4i4i-222-2-2222-2212-21-1-111-1-1−2i2i2i−2i−2i2i2i−2i0000002i3−2i300−i3i3−i3i3−232300i−i−ii3−33−3000000000000000000000000000000000000
χ894-44-4-44-2-2−4i4i4i−4i-222-2-2222-2212-21-1-111-1-12i−2i−2i2i2i−2i−2i2i000000−2i32i300i3−i3i3−i3−232300−iii−i3−33−3000000000000000000000000000000000000
χ904-44-4-44-2-2−4i4i4i−4i-222-2-2222-2212-21-1-111-1-12i−2i−2i2i2i−2i−2i2i0000002i3−2i300−i3i3−i3i323−2300−iii−i−33−33000000000000000000000000000000000000
χ914-4-4400440000-40000-44-4-44400-40000-4400000000004-4000000000000000000000000000000004-4000000000000000000000000
χ924-4-4400440000-40000-44-4-44400-40000-440000000000-4400000000000000000000000000000000-44000000000000000000000000
χ934-4-44004-20000-4−2i32i32i3−2i3-4422-2-2002−2i32i32i3−2i32-200000000004-400000000000000000000000000000000-22−2i32i30000000000000000000000
χ944-4-44004-20000-4−2i32i32i3−2i3-4422-2-2002−2i32i32i3−2i32-20000000000-44000000000000000000000000000000002-22i3−2i30000000000000000000000
χ954-4-44004-20000-42i3−2i3−2i32i3-4422-2-20022i3−2i3−2i32i32-200000000004-400000000000000000000000000000000-222i3−2i30000000000000000000000
χ964-4-44004-20000-42i3−2i3−2i32i3-4422-2-20022i3−2i3−2i32i32-20000000000-44000000000000000000000000000000002-2−2i32i30000000000000000000000
χ9788-8-800-48000040000-448-8-8-40040000-440000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-400004−4i34i3−4i34i3-44-444200-22i3−2i32i3−2i32-20000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-4000044i3−4i34i3−4i3-44-444200-2−2i32i3−2i32i32-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-480000400004-4-8-88-400400004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004−4i34i34i3−4i34-444-4200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-4000044i3−4i3−4i34i34-444-4200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.