Finite Group Databasebeta

← Group #10623957

Character table — Group #10623957

Order 720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112244556881010101010101010121230303011224455688101010101010101012123030301122445568810101010101010101212303030
order1236510222153044661212121210102443636153066615301212661212121230306121236361530666153012126612121212303061212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-111-1-1-1-1111-1-111111111111-1-111-1-1-1-1111-1-111111111111-1-111-1-1-1-1111-1-1
χ311111111-11111111111-1-1-1-1-111111111-11111111111-1-1-1-1-111111111-11111111111-1-1-1-1-1
χ411111111-111-1-111-1-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-111
χ5111111-1-1111i−i-1-1ii−i−i11-1i−i111111-1-1111i−i-1-1ii−i−i11-1i−i111111-1-1111i−i-1-1ii−i−i11-1i−i
χ6111111-1-1111−ii-1-1−i−iii11-1−ii111111-1-1111−ii-1-1−i−iii11-1−ii111111-1-1111−ii-1-1−i−iii11-1−ii
χ7111111-1-1-111i−i-1-1ii−i−i-1-11−ii111111-1-1-111i−i-1-1ii−i−i-1-11−ii111111-1-1-111i−i-1-1ii−i−i-1-11−ii
χ8111111-1-1-111−ii-1-1−i−iii-1-11i−i111111-1-1-111−ii-1-1−i−iii-1-11i−i111111-1-1-111−ii-1-1−i−iii-1-11i−i
χ922-1-122220-1-122-1-1-1-1-1-10000022-1-122220-1-122-1-1-1-1-1-10000022-1-122220-1-122-1-1-1-1-1-100000
χ1022-1-122220-1-1-2-2-1-111110000022-1-122220-1-1-2-2-1-111110000022-1-122220-1-1-2-2-1-1111100000
χ1122-1-122-2-20-1-12i−2i11−i−iii0000022-1-122-2-20-1-12i−2i11−i−iii0000022-1-122-2-20-1-12i−2i11−i−iii00000
χ1222-1-122-2-20-1-1−2i2i11ii−i−i0000022-1-122-2-20-1-1−2i2i11ii−i−i0000022-1-122-2-20-1-1−2i2i11ii−i−i00000
χ132-22-22-22-202-200-220000000002-22-22-22-202-200-220000000002-22-22-22-202-200-22000000000
χ142-22-22-2-2202-2002-20000000002-22-22-2-2202-2002-20000000002-22-22-2-2202-2002-2000000000
χ152-2-112-22-20-11001-1−i3i3−i3i3000002-2-112-22-20-11001-1−i3i3−i3i3000002-2-112-22-20-11001-1−i3i3−i3i300000
χ162-2-112-22-20-11001-1i3−i3i3−i3000002-2-112-22-20-11001-1i3−i3i3−i3000002-2-112-22-20-11001-1i3−i3i3−i300000
χ172-2-112-2-220-1100-113−3−33000002-2-112-2-220-1100-113−3−33000002-2-112-2-220-1100-113−3−3300000
χ182-2-112-2-220-1100-11−333−3000002-2-112-2-220-1100-11−333−3000002-2-112-2-220-1100-11−333−300000
χ194444-1-1004-1-100000000-1-10004444-1-1004-1-100000000-1-10004444-1-1004-1-100000000-1-1000
χ204444-1-100-4-1-100000000110004444-1-100-4-1-100000000110004444-1-100-4-1-10000000011000
χ214-44-4-11000-1100000000−550004-44-4-11000-1100000000−550004-44-4-11000-1100000000−55000
χ224-44-4-11000-11000000005−50004-44-4-11000-11000000005−50004-44-4-11000-11000000005−5000
χ2388-4-4-2-200011000000000000088-4-4-2-200011000000000000088-4-4-2-2000110000000000000
χ248-8-44-220001-100000000000008-8-44-220001-100000000000008-8-44-220001-10000000000000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2611111111111-1-111-1-1-1-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ2711111111-11111111111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ2811111111-111-1-111-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ29111111-1-1111i−i-1-1ii−i−i11-1i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ30111111-1-1111−ii-1-1−i−iii11-1−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ31111111-1-1-111i−i-1-1ii−i−i-1-11−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ32111111-1-1-111−ii-1-1−i−iii-1-11i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ3322-1-122220-1-122-1-1-1-1-1-100000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i301−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i301+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000
χ3422-1-122220-1-1-2-2-1-1111100000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i301−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i301+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000
χ3522-1-122-2-20-1-12i−2i11−i−iii00000−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i301−i321−i32−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−1+i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ5900000−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i301+i321+i32−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−1−i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ4300000
χ3622-1-122-2-20-1-1−2i2i11ii−i−i00000−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i301−i321−i322ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ5900000−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i301+i321+i322ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ4300000
χ372-22-22-22-202-200-22000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i30−1+i31−i3001−i3−1+i3000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i30−1−i31+i3001+i3−1−i3000000000
χ382-22-22-2-2202-2002-2000000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i30−1+i31−i300−1+i31−i3000000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i30−1−i31+i300−1−i31+i3000000000
χ392-2-112-22-20-11001-1−i3i3−i3i300000−1+i31−i31−i32−1+i32−1+i31−i3−1+i31−i301−i32−1+i3200−1+i321−i323+i32−3−i323+i32−3−i3200000−1−i31+i31+i32−1−i32−1−i31+i3−1−i31+i301+i32−1−i3200−1−i321+i32−3+i323−i32−3+i323−i3200000
χ402-2-112-22-20-11001-1i3−i3i3−i300000−1+i31−i31−i32−1+i32−1+i31−i3−1+i31−i301−i32−1+i3200−1+i321−i32−3−i323+i32−3−i323+i3200000−1−i31+i31+i32−1−i32−1−i31+i3−1−i31+i301+i32−1−i3200−1−i321+i323−i32−3+i323−i32−3+i3200000
χ412-2-112-2-220-1100-113−3−3300000−1+i31−i31−i32−1+i32−1+i31−i31−i3−1+i301−i32−1+i32001−i32−1+i322ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ5900000−1−i31+i31+i32−1−i32−1−i31+i31+i3−1−i301+i32−1−i32001+i32−1−i32−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ5900000
χ422-2-112-2-220-1100-11−333−300000−1+i31−i31−i32−1+i32−1+i31−i31−i3−1+i301−i32−1+i32001−i32−1+i32−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ5900000−1−i31+i31+i32−1−i32−1−i31+i31+i3−1−i301+i32−1−i32001+i32−1−i32ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ5900000
χ434444-1-1004-1-100000000-1-1000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i3200−2+2i31−i321−i32000000001−i321−i32000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i3200−2−2i31+i321+i32000000001+i321+i32000
χ444444-1-100-4-1-10000000011000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i32002−2i31−i321−i3200000000−1+i32−1+i32000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i32002+2i31+i321+i3200000000−1−i32−1−i32000
χ454-44-4-11000-1100000000−55000−2+2i32−2i3−2+2i32−2i31−i32−1+i320001−i32−1+i3200000000ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38000−2−2i32+2i3−2−2i32+2i31+i32−1−i320001+i32−1−i3200000000ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58000
χ464-44-4-11000-11000000005−5000−2+2i32−2i3−2+2i32−2i31−i32−1+i320001−i32−1+i3200000000−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38000−2−2i32+2i3−2−2i32+2i31+i32−1−i320001+i32−1−i3200000000−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58000
χ4788-4-4-2-2000110000000000000−4+4i3−4+4i32−2i32−2i31−i31−i3000−1+i32−1+i320000000000000−4−4i3−4−4i32+2i32+2i31+i31+i3000−1−i32−1−i320000000000000
χ488-8-44-220001-10000000000000−4+4i34−4i32−2i3−2+2i31−i3−1+i3000−1+i321−i320000000000000−4−4i34+4i32+2i3−2−2i31+i3−1−i3000−1−i321+i320000000000000
χ49111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5011111111111-1-111-1-1-1-1111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ5111111111-11111111111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32
χ5211111111-111-1-111-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ53111111-1-1111i−i-1-1ii−i−i11-1i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ54111111-1-1111−ii-1-1−i−iii11-1−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ55111111-1-1-111i−i-1-1ii−i−i-1-11−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ56111111-1-1-111−ii-1-1−i−iii-1-11i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ5722-1-122220-1-122-1-1-1-1-1-100000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i301+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i301−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000
χ5822-1-122220-1-1-2-2-1-1111100000−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i301+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i301−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000
χ5922-1-122-2-20-1-12i−2i11−i−iii00000−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i301+i321+i32−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−1−i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ4300000−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i301−i321−i32−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59−1+i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ5900000
χ6022-1-122-2-20-1-1−2i2i11ii−i−i00000−1−i3−1−i31+i321+i32−1−i3−1−i31+i31+i301+i321+i322ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ4300000−1+i3−1+i31−i321−i32−1+i3−1+i31−i31−i301−i321−i322ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ59−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ5900000
χ612-22-22-22-202-200-22000000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i30−1−i31+i3001+i3−1−i3000000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i30−1+i31−i3001−i3−1+i3000000000
χ622-22-22-2-2202-2002-2000000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i30−1−i31+i300−1−i31+i3000000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i30−1+i31−i300−1+i31−i3000000000
χ632-2-112-22-20-11001-1−i3i3−i3i300000−1−i31+i31+i32−1−i32−1−i31+i3−1−i31+i301+i32−1−i3200−1−i321+i32−3+i323−i32−3+i323−i3200000−1+i31−i31−i32−1+i32−1+i31−i3−1+i31−i301−i32−1+i3200−1+i321−i323+i32−3−i323+i32−3−i3200000
χ642-2-112-22-20-11001-1i3−i3i3−i300000−1−i31+i31+i32−1−i32−1−i31+i3−1−i31+i301+i32−1−i3200−1−i321+i323−i32−3+i323−i32−3+i3200000−1+i31−i31−i32−1+i32−1+i31−i3−1+i31−i301−i32−1+i3200−1+i321−i32−3−i323+i32−3−i323+i3200000
χ652-2-112-2-220-1100-113−3−3300000−1−i31+i31+i32−1−i32−1−i31+i31+i3−1−i301+i32−1−i32001+i32−1−i32−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ5900000−1+i31−i31−i32−1+i32−1+i31−i31−i3−1+i301−i32−1+i32001−i32−1+i322ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ5900000
χ662-2-112-2-220-1100-11−333−300000−1−i31+i31+i32−1−i32−1−i31+i31+i3−1−i301+i32−1−i32001+i32−1−i32ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59−ζ7−2ζ11−ζ19−2ζ23−ζ31−ζ43−2ζ47−2ζ59ζ7+2ζ11+ζ19+2ζ23+ζ31+ζ43+2ζ47+2ζ5900000−1+i31−i31−i32−1+i32−1+i31−i31−i3−1+i301−i32−1+i32001−i32−1+i32−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ592ζ7+ζ11+2ζ19+ζ23+2ζ31+2ζ43+ζ47+ζ59−2ζ7−ζ11−2ζ19−ζ23−2ζ31−2ζ43−ζ47−ζ5900000
χ674444-1-1004-1-100000000-1-1000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i3200−2−2i31+i321+i32000000001+i321+i32000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i3200−2+2i31−i321−i32000000001−i321−i32000
χ684444-1-100-4-1-10000000011000−2−2i3−2−2i3−2−2i3−2−2i31+i321+i32002+2i31+i321+i3200000000−1−i32−1−i32000−2+2i3−2+2i3−2+2i3−2+2i31−i321−i32002−2i31−i321−i3200000000−1+i32−1+i32000
χ694-44-4-11000-1100000000−55000−2−2i32+2i3−2−2i32+2i31+i32−1−i320001+i32−1−i3200000000ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58000−2+2i32−2i3−2+2i32−2i31−i32−1+i320001−i32−1+i3200000000ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ38000
χ704-44-4-11000-11000000005−5000−2−2i32+2i3−2−2i32+2i31+i32−1−i320001+i32−1−i3200000000−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58000−2+2i32−2i3−2+2i32−2i31−i32−1+i320001−i32−1+i3200000000−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ38000
χ7188-4-4-2-2000110000000000000−4−4i3−4−4i32+2i32+2i31+i31+i3000−1−i32−1−i320000000000000−4+4i3−4+4i32−2i32−2i31−i31−i3000−1+i32−1+i320000000000000
χ728-8-44-220001-10000000000000−4−4i34+4i32+2i3−2−2i31+i3−1−i3000−1−i321+i320000000000000−4+4i34−4i32−2i3−2+2i31−i3−1+i3000−1+i321−i320000000000000

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