Finite Group Databasebeta

← Group #11752415

Character table — Group #11752415

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222222222224444444444444444444444444444444444444444444444445555101010101010101010101010101010101010101010106060606060606060
order122222344446666666121212121212121251010101010101015152020202020202020303030303030303030303030303060606060606060606060606060606060444422224466666666121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ61111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i
χ91111-1-1111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ101111-1-1111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111-1-1111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii
χ121111-1-1111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i
χ131111-1-11-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11
χ141111-1-11-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1
χ151111-1-11-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111i−i−ii−iii−i
χ161111-1-11-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111−iii−ii−i−ii
χ17222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2111111111111111100000000
χ19222222-1-2-2-2-2-1-1-1-1-1-1-11111111122222222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-22211111111-1-1-1-1-1-1-1-100000000
χ20222222-1-2-2-2-2-1-1-1-1-1-1-11111111122222222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-22222-2-2-1-1-1-1-1-1-1-11111111100000000
χ212222-2-2-122-2-2-1-11111-1-1-1-1-11111222-2-2-2-22-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000
χ222222-2-2-122-2-2-1-11111-1-1-1-1-11111222-2-2-2-22-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-222221111-1-1-1-11111-1-1-1-100000000
χ232222-2-2-1-2-222-1-11111-11111-1-1-1-1222-2-2-2-22-1-1-2-2-2-22222-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-12222-2-222-2-21111-1-1-1-1-1-1-1-1111100000000
χ242222-2-2-1-2-222-1-11111-11111-1-1-1-1222-2-2-2-22-1-1-2-2-2-22222-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222-2-222-1-1-1-111111111-1-1-1-100000000
χ2522-2-2002002i−2i2-20000-200002i2i−2i−2i22-20000-22200002i2i−2i−2i22-2-200000000-2-2000000002i2i2i2i−2i−2i−2i−2i2i2i−2i−2i002-200000022-2-22i2i−2i−2i000000000000
χ2622-2-2002002i−2i2-20000-200002i2i−2i−2i22-20000-22200002i2i−2i−2i22-2-200000000-2-2000000002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i00-22000000-2-222−2i−2i2i2i000000000000
χ2722-2-200200−2i2i2-20000-20000−2i−2i2i2i22-20000-2220000−2i−2i2i2i22-2-200000000-2-200000000−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i00-22000000-2-2222i2i−2i−2i000000000000
χ2822-2-200200−2i2i2-20000-20000−2i−2i2i2i22-20000-2220000−2i−2i2i2i22-2-200000000-2-200000000−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i002-200000022-2-2−2i−2i2i2i000000000000
χ2922-2-200-1002i−2i-11−i3−i3i3i3133−3−3−i−iii22-20000-2-1-100002i2i−2i−2i-1-111−i3−i3−i3−i3i3i3i3i3113333−3−3−3−3−i−i−i−iiiii2i2i−2i−2i002-200−i3−i3i3i3-1-111−i−iii33−3−300000000
χ3022-2-200-1002i−2i-11−i3−i3i3i3133−3−3−i−iii22-20000-2-1-100002i2i−2i−2i-1-111−i3−i3−i3−i3i3i3i3i3113333−3−3−3−3−i−i−i−iiiii−2i−2i2i2i00-2200i3i3−i3−i311-1-1ii−i−i−3−33300000000
χ3122-2-200-1002i−2i-11i3i3−i3−i31−3−333−i−iii22-20000-2-1-100002i2i−2i−2i-1-111i3i3i3i3−i3−i3−i3−i311−3−3−3−33333−i−i−i−iiiii2i2i−2i−2i002-200i3i3−i3−i3-1-111−i−iii−3−33300000000
χ3222-2-200-1002i−2i-11i3i3−i3−i31−3−333−i−iii22-20000-2-1-100002i2i−2i−2i-1-111i3i3i3i3−i3−i3−i3−i311−3−3−3−33333−i−i−i−iiiii−2i−2i2i2i00-2200−i3−i3i3i311-1-1ii−i−i33−3−300000000
χ3322-2-200-100−2i2i-11−i3−i3i3i31−3−333ii−i−i22-20000-2-1-10000−2i−2i2i2i-1-111−i3−i3−i3−i3i3i3i3i311−3−3−3−33333iiii−i−i−i−i2i2i−2i−2i00-2200i3i3−i3−i311-1-1−i−iii33−3−300000000
χ3422-2-200-100−2i2i-11−i3−i3i3i31−3−333ii−i−i22-20000-2-1-10000−2i−2i2i2i-1-111−i3−i3−i3−i3i3i3i3i311−3−3−3−33333iiii−i−i−i−i−2i−2i2i2i002-200−i3−i3i3i3-1-111ii−i−i−3−33300000000
χ3522-2-200-100−2i2i-11i3i3−i3−i3133−3−3ii−i−i22-20000-2-1-10000−2i−2i2i2i-1-111i3i3i3i3−i3−i3−i3−i3113333−3−3−3−3iiii−i−i−i−i2i2i−2i−2i00-2200−i3−i3i3i311-1-1−i−iii−3−33300000000
χ3622-2-200-100−2i2i-11i3i3−i3−i3133−3−3ii−i−i22-20000-2-1-10000−2i−2i2i2i-1-111i3i3i3i3−i3−i3−i3−i3113333−3−3−3−3iiii−i−i−i−i−2i−2i2i2i002-200i3i3−i3−i3-1-111ii−i−i33−3−300000000
χ372-22-22-220000-222-22-2-2000000002-2222-2-2-22200000000-2-22222-2-222-2-2-2-200000000000000002i−2i2i−2i00002i−2i000000002i−2i2i−2i2i−2i2i−2i00000000
χ382-22-22-220000-222-22-2-2000000002-2222-2-2-22200000000-2-22222-2-222-2-2-2-20000000000000000−2i2i−2i2i0000−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000
χ392-22-22-2-100001-1-11-1113−33−33−33−32-2222-2-2-2-1-10000000011-1-1-1-111-1-1111133−3−333−3−333−3−333−3−32i−2i2i−2i00002i−2i−i3i3−i3i3−i3i3−i3i3−ii−ii−ii−ii00000000
χ402-22-22-2-100001-1-11-1113−33−33−33−32-2222-2-2-2-1-10000000011-1-1-1-111-1-1111133−3−333−3−333−3−333−3−3−2i2i−2i2i0000−2i2ii3−i3i3−i3i3−i3i3−i3i−ii−ii−ii−i00000000
χ412-22-22-2-100001-1-11-111−33−33−33−332-2222-2-2-2-1-10000000011-1-1-1-111-1-11111−3−333−3−333−3−333−3−3332i−2i2i−2i00002i−2ii3−i3i3−i3i3−i3i3−i3−ii−ii−ii−ii00000000
χ422-22-22-2-100001-1-11-111−33−33−33−332-2222-2-2-2-1-10000000011-1-1-1-111-1-11111−3−333−3−333−3−333−3−333−2i2i−2i2i0000−2i2i−i3i3−i3i3−i3i3−i3i3i−ii−ii−ii−i00000000
χ432-22-2-2220000-22-22-22-2000000002-22-2-222-22200000000-2-222-2-222-2-222-2-200000000000000002i−2i2i−2i0000−2i2i000000002i−2i2i−2i−2i2i−2i2i00000000
χ442-22-2-2220000-22-22-22-2000000002-22-2-222-22200000000-2-222-2-222-2-222-2-20000000000000000−2i2i−2i2i00002i−2i00000000−2i2i−2i2i2i−2i2i−2i00000000
χ452-22-2-22-100001-11-11-113−33−3−33−332-22-2-222-2-1-10000000011-1-111-1-111-1-11133−3−333−3−3−3−333−3−3332i−2i2i−2i0000−2i2i−i3i3−i3i3i3−i3i3−i3−ii−iii−ii−i00000000
χ462-22-2-22-100001-11-11-113−33−3−33−332-22-2-222-2-1-10000000011-1-111-1-111-1-11133−3−333−3−3−3−333−3−333−2i2i−2i2i00002i−2ii3−i3i3−i3−i3i3−i3i3i−ii−i−ii−ii00000000
χ472-22-2-22-100001-11-11-11−33−333−33−32-22-2-222-2-1-10000000011-1-111-1-111-1-111−3−333−3−33333−3−333−3−32i−2i2i−2i0000−2i2ii3−i3i3−i3−i3i3−i3i3−ii−iii−ii−i00000000
χ482-22-2-22-100001-11-11-11−33−333−33−32-22-2-222-2-1-10000000011-1-111-1-111-1-111−3−333−3−33333−3−333−3−3−2i2i−2i2i00002i−2i−i3i3−i3i3i3−i3i3−i3i−ii−i−ii−ii00000000
χ492-2-220022-200-2-2000022-2-2200002-2-2000022222-2-20000-2-2-2-2000000002222-2-2-2-222000000002-2-222-200002-2-2200002-2-22000000000000
χ502-2-220022-200-2-2000022-2-2200002-2-2000022222-2-20000-2-2-2-2000000002222-2-2-2-22200000000-222-2-220000-222-20000-222-2000000000000
χ512-2-22002-2200-2-200002-222-200002-2-20000222-2-2220000-2-2-2-20000000022-2-22222-2-2000000002-2-22-220000-222-200002-2-22000000000000
χ522-2-22002-2200-2-200002-222-200002-2-20000222-2-2220000-2-2-2-20000000022-2-22222-2-200000000-222-22-200002-2-220000-222-2000000000000
χ532-2-2200-12-20011−i3i3i3−i3-1-111-1−i3i3i3−i32-2-200002-1-122-2-200001111−i3−i3i3i3i3i3−i3−i3-1-1-1-11111-1-1−i3−i3i3i3i3i3−i3−i32-2-222-20000-111-1−i3i3i3−i3-111-1−i3i3i3−i300000000
χ542-2-2200-12-20011−i3i3i3−i3-1-111-1−i3i3i3−i32-2-200002-1-122-2-200001111−i3−i3i3i3i3i3−i3−i3-1-1-1-11111-1-1−i3−i3i3i3i3i3−i3−i3-222-2-2200001-1-11i3−i3−i3i31-1-11i3−i3−i3i300000000
χ552-2-2200-12-20011i3−i3−i3i3-1-111-1i3−i3−i3i32-2-200002-1-122-2-200001111i3i3−i3−i3−i3−i3i3i3-1-1-1-11111-1-1i3i3−i3−i3−i3−i3i3i32-2-222-20000-111-1i3−i3−i3i3-111-1i3−i3−i3i300000000
χ562-2-2200-12-20011i3−i3−i3i3-1-111-1i3−i3−i3i32-2-200002-1-122-2-200001111i3i3−i3−i3−i3−i3i3i3-1-1-1-11111-1-1i3i3−i3−i3−i3−i3i3i3-222-2-2200001-1-11−i3i3i3−i31-1-11−i3i3i3−i300000000
χ572-2-2200-1-220011−i3i3i3−i3-11-1-11i3−i3−i3i32-2-200002-1-1-2-22200001111−i3−i3i3i3i3i3−i3−i3-1-111-1-1-1-111i3i3−i3−i3−i3−i3i3i32-2-22-2200001-1-11i3−i3−i3i3-111-1−i3i3i3−i300000000
χ582-2-2200-1-220011−i3i3i3−i3-11-1-11i3−i3−i3i32-2-200002-1-1-2-22200001111−i3−i3i3i3i3i3−i3−i3-1-111-1-1-1-111i3i3−i3−i3−i3−i3i3i3-222-22-20000-111-1−i3i3i3−i31-1-11i3−i3−i3i300000000
χ592-2-2200-1-220011i3−i3−i3i3-11-1-11−i3i3i3−i32-2-200002-1-1-2-22200001111i3i3−i3−i3−i3−i3i3i3-1-111-1-1-1-111−i3−i3i3i3i3i3−i3−i32-2-22-2200001-1-11−i3i3i3−i3-111-1i3−i3−i3i300000000
χ602-2-2200-1-220011i3−i3−i3i3-11-1-11−i3i3i3−i32-2-200002-1-1-2-22200001111i3i3−i3−i3−i3−i3i3i3-1-111-1-1-1-111−i3−i3i3i3i3i3−i3−i3-222-22-20000-111-1i3−i3−i3i31-1-11−i3i3i3−i300000000
χ6144444444444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ624444444-4-4-4-44444444-4-4-4-4-4-4-4-4-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000000000
χ63444444-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11−i1521+i152-1-1-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000000000000000000000000000000000
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χ994-4-44004-4400-4-400004-444-40000-111−555−5-1-1-111-1-15−5−551111−555−55−5−55-1-111-1-1-1-1115−5−55−555−50000000000000000000000000000000000
χ1004-4-44004-4400-4-400004-444-40000-1115−5−55-1-1-111-1-1−555−511115−5−55−555−5-1-111-1-1-1-111−555−55−5−550000000000000000000000000000000000
χ1014-4-4400-24-40022−2i32i32i3−2i3-2-222-2−2i32i32i3−2i3-111−555−5-11+i1521−i152-1-111−555−5−1−i152−1+i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ581+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1521+i1521−i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ580000000000000000000000000000000000
χ1024-4-4400-24-40022−2i32i32i3−2i3-2-222-2−2i32i32i3−2i3-1115−5−55-11−i1521+i152-1-1115−5−55−1+i152−1−i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ461−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1521−i1521+i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ460000000000000000000000000000000000
χ1034-4-4400-24-400222i3−2i3−2i32i3-2-222-22i3−2i3−2i32i3-111−555−5-11−i1521+i152-1-111−555−5−1+i152−1−i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ461−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i1521−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ460000000000000000000000000000000000
χ1044-4-4400-24-400222i3−2i3−2i32i3-2-222-22i3−2i3−2i32i3-1115−5−55-11+i1521−i152-1-1115−5−55−1−i152−1+i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ581+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i1521+i1521−i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ580000000000000000000000000000000000
χ1054-4-4400-2-440022−2i32i32i3−2i3-22-2-222i3−2i3−2i32i3-111−555−5-11+i1521−i15211-1-15−5−55−1−i152−1+i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ581+i1521−i152−1−i152−1+i1521+i1521−i1521+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ580000000000000000000000000000000000
χ1064-4-4400-2-440022−2i32i32i3−2i3-22-2-222i3−2i3−2i32i3-1115−5−55-11−i1521+i15211-1-1−555−5−1+i152−1−i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ461−i1521+i152−1+i152−1−i1521−i1521+i1521−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ460000000000000000000000000000000000
χ1074-4-4400-2-4400222i3−2i3−2i32i3-22-2-22−2i32i32i3−2i3-111−555−5-11−i1521+i15211-1-15−5−55−1+i152−1−i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ461−i1521+i152−1+i152−1−i1521−i1521+i1521−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ460000000000000000000000000000000000
χ1084-4-4400-2-4400222i3−2i3−2i32i3-22-2-22−2i32i32i3−2i3-1115−5−55-11+i1521−i15211-1-1−555−5−1−i152−1+i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ581+i1521−i152−1−i152−1+i1521+i1521−i1521+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ580000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.