Finite Group Databasebeta

← Group #14301746

Character table — Group #14301746

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222444444444444558888888888888888888888101010101010101212202020202020202020202020244040404040404040404048484848606060606060120120120
order12222366644566101010121212124410101520202020303030303030306060606060606060444121212122422666688881212488242424242424242410202020248888488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111111-1-1111111111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ5111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1ii−i−i-1-11i−iiiii−i−i−i−i1111-1-1ii−i−i-1i−i
χ6111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1−i−iii-1-11−ii−i−i−i−iiiii1111-1-1−i−iii-1−ii
χ7111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1i−iiiii−i−i−i−i-1-1-1-111−i−iii1−ii
χ8111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1−ii−i−i−i−iiiii-1-1-1-111ii−i−i1i−i
χ9111111111-1-1111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-111-1-111-1-11-1-11111111-1-1-1
χ10111111111-1-1111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1111-1-1111-1-1-1-1-111
χ11111111111-1-1111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-111-1-111-1-1-111-1-1-1-1-1-1-1111
χ12111111111-1-1111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-111-1-1-111111-1-1
χ13111111111-1-1111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1−iiii−i−i−i−iii1-1-11-1-1ii−i−i1−ii
χ14111111111-1-1111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-1-1i−i−i−iiiii−i−i1-1-11-1-1−i−iii1i−i
χ15111111111-1-1111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i-1-11−iiii−i−i−i−iii-111-111−i−iii-1i−i
χ16111111111-1-1111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iii-1-11i−i−i−iiiii−i−i-111-111ii−i−i-1−ii
χ1722222-1-1-1-1222-1-1222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-10022-1-1-1-12222-1-1022-1-1-1-1-1-1-1-10000000000000
χ1822222-1-1-1-1222-1-1222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-10022-1-1-1-1-2-2-2-2-1-10-2-2111111110000000000000
χ1922222-1-1-1-1222-1-1222-1-1-1-1-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111100-2-211112i2i−2i−2i1102i−2i−i−i−i−iiiii0000000000000
χ2022222-1-1-1-1222-1-1222-1-1-1-1-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111100-2-21111−2i−2i2i2i110−2i2iiiii−i−i−i−i0000000000000
χ2122222-1-1-1-1-2-22-1-122211112222-1-2-2-2-2-1-1-1-1-1-1-111111111222-1-1-1-100-2-211112222-1-10-2-2-1-111-1-1110000000000000
χ2222222-1-1-1-1-2-22-1-122211112222-1-2-2-2-2-1-1-1-1-1-1-111111111222-1-1-1-100-2-21111-2-2-2-2-1-102211-1-111-1-10000000000000
χ2322222-1-1-1-1-2-22-1-12221111-2-222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-211110022-1-1-1-12i2i−2i−2i110−2i2i−i−iiiii−i−i0000000000000
χ2422222-1-1-1-1-2-22-1-12221111-2-222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-211110022-1-1-1-1−2i−2i2i2i1102i−2iii−i−i−i−iii0000000000000
χ25222-2-22222002-2-2-2-220000222-22000022-2-2-2-2200000000-22-22222000000002-22-2-2-20002-2002-2000000000000000
χ26222-2-22222002-2-2-2-220000222-22000022-2-2-2-2200000000-22-2222200000000-22-22-2-2000-2200-22000000000000000
χ27222-2-22222002-2-2-2-220000-2-22-22000022-2-2-2-22000000002-22-2-2-2-2000000002i−2i−2i2i220002i−2i00−2i2i000000000000000
χ28222-2-22222002-2-2-2-220000-2-22-22000022-2-2-2-22000000002-22-2-2-2-200000000−2i2i2i−2i22000−2i2i002i−2i000000000000000
χ29222-2-2-1-1-1-100211-2-22−i3−i3i3i3222-2-10000-1-11111-1−i3−i3−i3−i3i3i3i3i3-22-2-1-1-1-10000−i3−i3i3i32-22-211000-11−i3i3-11−i3i30000000000000
χ30222-2-2-1-1-1-100211-2-22−i3−i3i3i3222-2-10000-1-11111-1−i3−i3−i3−i3i3i3i3i3-22-2-1-1-1-10000−i3−i3i3i3-22-22110001-1i3−i31-1i3−i30000000000000
χ31222-2-2-1-1-1-100211-2-22−i3−i3i3i3-2-22-2-10000-1-11111-1−i3−i3−i3−i3i3i3i3i32-2211110000i3i3−i3−i32i−2i−2i2i-1-1000−ii3−3i−i−330000000000000
χ32222-2-2-1-1-1-100211-2-22−i3−i3i3i3-2-22-2-10000-1-11111-1−i3−i3−i3−i3i3i3i3i32-2211110000i3i3−i3−i3−2i2i2i−2i-1-1000i−i−33−ii3−30000000000000
χ33222-2-2-1-1-1-100211-2-22i3i3−i3−i3222-2-10000-1-11111-1i3i3i3i3−i3−i3−i3−i3-22-2-1-1-1-10000i3i3−i3−i32-22-211000-11i3−i3-11i3−i30000000000000
χ34222-2-2-1-1-1-100211-2-22i3i3−i3−i3222-2-10000-1-11111-1i3i3i3i3−i3−i3−i3−i3-22-2-1-1-1-10000i3i3−i3−i3-22-22110001-1−i3i31-1−i3i30000000000000
χ35222-2-2-1-1-1-100211-2-22i3i3−i3−i3-2-22-2-10000-1-11111-1i3i3i3i3−i3−i3−i3−i32-2211110000−i3−i3i3i32i−2i−2i2i-1-1000−ii−33i−i3−30000000000000
χ36222-2-2-1-1-1-100211-2-22i3i3−i3−i3-2-22-2-10000-1-11111-1i3i3i3i3−i3−i3−i3−i32-2211110000−i3−i3i3i3−2i2i2i−2i-1-1000i−i3−3−ii−330000000000000
χ3722-22-22-2-220022-2-2-22000022-2220000-2-222-2-2200000000-2-2222-2-20000000000002-2000000000000000002-22-2000
χ3822-22-22-2-220022-2-2-22000022-2220000-2-222-2-2200000000-2-2222-2-20000000000002-200000000000000000-22-22000
χ3922-22-22-2-220022-2-2-220000-2-2-2220000-2-222-2-220000000022-2-2-222000000000000-22000000000000000002i−2i−2i2i000
χ4022-22-22-2-220022-2-2-220000-2-2-2220000-2-222-2-220000000022-2-2-222000000000000-2200000000000000000−2i2i2i−2i000
χ4122-2-222-2-22002-22222000022-2-220000-2-2-2-2222000000002-2-222-2-22-20000000000-2200000000000200-2-220000000
χ4222-2-222-2-22002-22222000022-2-220000-2-2-2-2222000000002-2-222-2-2-220000000000-2200000000000-20022-20000000
χ4322-2-222-2-22002-222220000-2-2-2-220000-2-2-2-222200000000-222-2-2222-200000000002-200000000000200-22-20000000
χ4422-2-222-2-22002-222220000-2-2-2-220000-2-2-2-222200000000-222-2-222-2200000000002-200000000000-2002-220000000
χ4544444444444-144-1-1-1444400-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000004400000000000040000000000-1-1-1-1000000000
χ4644444444444-144-1-1-1444400-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-4-4000000000000-400000000001111000000000
χ47444444444-4-4-144-1-1-1-4-4-4-400-1-1-11111-1-1-1-1-1-1-111111111000000044000000000000-40000000000-111-1000000000
χ48444444444-4-4-144-1-1-1-4-4-4-400-1-1-11111-1-1-1-1-1-1-1111111110000000-4-4000000000000400000000001-1-11000000000
χ4944-44-4-222-2004-22-4-44000044-44-2000022-2-222-200000000-4-44-2-222000000000000-22000000000000000000000000
χ5044-44-4-222-2004-22-4-440000-4-4-44-2000022-2-222-20000000044-422-2-20000000000002-2000000000000000000000000
χ5144-4-444-4-4400-1-44-1-1-100000011-1−5−5551111-1-1-1−5−555−5−55500000004-400000000000000000000000-1−551000000000
χ5244-4-444-4-4400-1-44-1-1-100000011-1−5−5551111-1-1-1−5−555−5−5550000000-440000000000000000000000015−5-1000000000
χ5344-4-444-4-4400-1-44-1-1-100000011-155−5−51111-1-1-155−5−555−5−500000004-400000000000000000000000-15−51000000000
χ5444-4-444-4-4400-1-44-1-1-100000011-155−5−51111-1-1-155−5−555−5−50000000-44000000000000000000000001−55-1000000000
χ5544-4-44-222-20042-2444000044-4-4-200002222-2-2-2000000004-4-4-2-2220000000000002-2000000000000000000000000
χ5644-4-44-222-20042-24440000-4-4-4-4-200002222-2-2-200000000-44422-2-2000000000000-22000000000000000000000000
χ574-4000400-42i−2i40000-42i−2i2i−2i4i−4i0042i−2i2i−2i000000-42i−2i2i−2i2i−2i2i−2i0004i−4i00002-22-22-2000000000000000000000000000000
χ584-4000400-42i−2i40000-42i−2i2i−2i−4i4i0042i−2i2i−2i000000-42i−2i2i−2i2i−2i2i−2i000−4i4i0000-22-22-22000000000000000000000000000000
χ594-4000400-4−2i2i40000-4−2i2i−2i2i4i−4i004−2i2i−2i2i000000-4−2i2i−2i2i−2i2i−2i2i0004i−4i0000-22-22-22000000000000000000000000000000
χ604-4000400-4−2i2i40000-4−2i2i−2i2i−4i4i004−2i2i−2i2i000000-4−2i2i−2i2i−2i2i−2i2i000−4i4i00002-22-22-2000000000000000000000000000000
χ614-4000-2−2i32i322i−2i40000-4−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ434i−4i00-22i−2i2i−2i−2i32i300002−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43000−2i2i23−23002-2−1+i31−i3−1−i31+i3000000000000000000000000000000
χ624-4000-2−2i32i322i−2i40000-4−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−4i4i00-22i−2i2i−2i−2i32i300002−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ430002i−2i−232300-221−i3−1+i31+i3−1−i3000000000000000000000000000000
χ634-4000-2−2i32i32−2i2i40000-42ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ434i−4i00-2−2i2i−2i2i−2i32i3000022ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43000−2i2i23−2300-221−i3−1+i31+i3−1−i3000000000000000000000000000000
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χ654-4000-22i3−2i322i−2i40000-4−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ594i−4i00-22i−2i2i−2i2i3−2i300002−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59000−2i2i−2323002-2−1−i31+i3−1+i31−i3000000000000000000000000000000
χ664-4000-22i3−2i322i−2i40000-4−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−4i4i00-22i−2i2i−2i2i3−2i300002−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ590002i−2i23−2300-221+i3−1−i31−i3−1+i3000000000000000000000000000000
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χ73888-8-8-4-4-4-400-24422-24i34i3−4i3−4i300-221000011-1-1-1-11−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000000000000000000
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χ798-8000800-84i−4i-200−252524i−4i4i−4i0000-2−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000−25252−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000
χ808-8000800-84i−4i-20025−2524i−4i4i−4i0000-2−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000025−252−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000
χ818-8000800-8−4i4i-200−25252−4i4i−4i4i0000-22ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000−252522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000
χ828-8000800-8−4i4i-20025−252−4i4i−4i4i0000-22ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000025−2522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000
χ838-8000-4−4i34i344i−4i-200−25252−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ59−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ4300001−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47i3−i3−i15i155−5-1−ζ7+ζ11+ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31+ζ43+ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31−ζ43−ζ47−ζ59ζ7+ζ11+ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7−ζ11−ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7−ζ11+ζ19+ζ23+ζ31+ζ43+ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31−ζ43−ζ47+ζ59000000000000000000000000000000000000000000000
χ848-8000-4−4i34i344i−4i-20025−252−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ59−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ4300001−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59i3−i3i15−i15−55-1ζ7+ζ11−ζ19+ζ23−ζ31+ζ43+ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31−ζ43−ζ47−ζ59−ζ7+ζ11+ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47−ζ59ζ7−ζ11+ζ19+ζ23+ζ31+ζ43+ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31−ζ43−ζ47+ζ59ζ7+ζ11+ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7−ζ11−ζ19+ζ23−ζ31−ζ43+ζ47−ζ59000000000000000000000000000000000000000000000
χ858-8000-4−4i34i34−4i4i-200−252524ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ594ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ43000012ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47i3−i3−i15i155−5-1ζ7−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7+ζ11+ζ19+ζ23+ζ31−ζ43+ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31−ζ43−ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31+ζ43+ζ47+ζ59−ζ7−ζ11−ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7+ζ11+ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7+ζ11−ζ19−ζ23−ζ31−ζ43−ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31+ζ43+ζ47−ζ59000000000000000000000000000000000000000000000
χ868-8000-4−4i34i34−4i4i-20025−2524ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ594ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ43000012ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59i3−i3i15−i15−55-1−ζ7−ζ11+ζ19−ζ23+ζ31−ζ43−ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31+ζ43+ζ47+ζ59ζ7−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7+ζ11+ζ19+ζ23+ζ31−ζ43+ζ47+ζ59−ζ7+ζ11−ζ19−ζ23−ζ31−ζ43−ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31+ζ43+ζ47−ζ59−ζ7−ζ11−ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7+ζ11+ζ19−ζ23+ζ31+ζ43−ζ47+ζ59000000000000000000000000000000000000000000000
χ878-8000-44i3−4i344i−4i-200−25252−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ43−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ5900001−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−i3i3i15−i155−5-1ζ7+ζ11+ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7−ζ11−ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7−ζ11+ζ19+ζ23+ζ31+ζ43+ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31+ζ43+ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31−ζ43−ζ47−ζ59000000000000000000000000000000000000000000000
χ888-8000-44i3−4i344i−4i-20025−252−4ζ7−4ζ19−4ζ31−4ζ434ζ7+4ζ19+4ζ31+4ζ43−4ζ11−4ζ23−4ζ47−4ζ594ζ11+4ζ23+4ζ47+4ζ5900001−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−i3i3−i15i15−55-1ζ7−ζ11+ζ19+ζ23+ζ31+ζ43+ζ47−ζ59−ζ7+ζ11−ζ19−ζ23−ζ31−ζ43−ζ47+ζ59ζ7+ζ11+ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7−ζ11−ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31+ζ43+ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31−ζ43−ζ47−ζ59−ζ7+ζ11+ζ19+ζ23+ζ31−ζ43+ζ47+ζ59ζ7−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47−ζ59000000000000000000000000000000000000000000000
χ898-8000-44i3−4i34−4i4i-200−252524ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ434ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ59000012ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−i3i3i15−i155−5-1−ζ7−ζ11−ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7+ζ11+ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7+ζ11−ζ19−ζ23−ζ31−ζ43−ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7+ζ11+ζ19+ζ23+ζ31−ζ43+ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31−ζ43−ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31+ζ43+ζ47+ζ59000000000000000000000000000000000000000000000
χ908-8000-44i3−4i34−4i4i-20025−2524ζ7+4ζ19+4ζ31+4ζ43−4ζ7−4ζ19−4ζ31−4ζ434ζ11+4ζ23+4ζ47+4ζ59−4ζ11−4ζ23−4ζ47−4ζ59000012ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−i3i3−i15i15−55-1−ζ7+ζ11−ζ19−ζ23−ζ31−ζ43−ζ47+ζ59ζ7−ζ11+ζ19+ζ23+ζ31+ζ43+ζ47−ζ59−ζ7−ζ11−ζ19+ζ23−ζ31−ζ43+ζ47−ζ59ζ7+ζ11+ζ19−ζ23+ζ31+ζ43−ζ47+ζ59−ζ7−ζ11+ζ19−ζ23+ζ31−ζ43−ζ47−ζ59ζ7+ζ11−ζ19+ζ23−ζ31+ζ43+ζ47+ζ59ζ7−ζ11−ζ19−ζ23−ζ31+ζ43−ζ47−ζ59−ζ7+ζ11+ζ19+ζ23+ζ31−ζ43+ζ47+ζ59000000000000000000000000000000000000000000000

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