Finite Group Databasebeta

← Group #11748255

Character table — Group #11748255

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1122222222244444444444444444888888888888888888812122020242424242424242424404040404060606060
order12234455610106101012121515202020203030606060608242430304040404060601201201201201201201201204424820202020404040402666122444
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-11-1-1111-1-1
χ61111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11-111-1-1-111
χ71111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1-11-1-111
χ81111111111111111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-111-111-1-1
χ9222222−1−52−1+522−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000
χ10222222−1−52−1+522−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-21+521+521−521−521+521+521−521−52000000000
χ11222222−1−52−1+522−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−522200-2−1−52−1−52−1+52−1+521+521+521−521−52000000000
χ12222222−1−52−1+522−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521+521+521−521−521−521−52-2-20021+521+521−521−52−1−52−1−52−1+52−1+52000000000
χ13222222−1+52−1−522−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000
χ14222222−1+52−1−522−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-21−521−521+521+521−521−521+521+52000000000
χ15222222−1+52−1−522−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+522200-2−1+52−1+52−1−52−1−521−521−521+521+52000000000
χ16222222−1+52−1−522−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52-2-20021−521−521+521+52−1+52−1+52−1−52−1−52000000000
χ172222-2-222222222-2-222-2-2-2-222-2-2-2-2000220000-2-2000000002-20002-22-20000000000000
χ182222-2-222222222-2-222-2-2-2-222-2-2-2-2000220000-2-200000000-22000-22-220000000000000
χ192222-2-2−1−52−1+522−1−52−1+522−1−52−1+52-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52000−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+521−52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ472-2000−1−521+52−1+521−52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000
χ202222-2-2−1−52−1+522−1−52−1+522−1−52−1+52-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52000−1−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ471+521−52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47-220001+52−1−521−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000
χ212222-2-2−1−52−1+522−1−52−1+522−1−52−1+52-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52000−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ471+521−52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ472-2000−1−521+52−1+521−52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000
χ222222-2-2−1−52−1+522−1−52−1+522−1−52−1+52-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52000−1−52−1+52ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ471+521−52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47-220001+52−1−521−52−1+52−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000
χ232222-2-2−1+52−1−522−1+52−1−522−1+52−1−52-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+52000−1+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ591−521+52ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ592-2000−1+521−52−1−521+52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000
χ242222-2-2−1+52−1−522−1+52−1−522−1+52−1−52-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+52000−1+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ591−521+52ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59-220001−52−1+521+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000
χ252222-2-2−1+52−1−522−1+52−1−522−1+52−1−52-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+52000−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ591−521+52−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ592-2000−1+521−52−1−521+52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000
χ262222-2-2−1+52−1−522−1+52−1−522−1+52−1−52-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+52000−1+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ591−521+52−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59-220001−52−1+521+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000
χ27222-12222-122-122-1-1-1-12222-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-100220000000002-1-1-1-10000
χ28222-12222-122-122-1-1-1-12222-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-2-2000000000-211110000
χ29222-12222-122-122-1-1-1-12222-1-1-1-1-1-1-211-1-1-2-2-2-2-1-1111111110022000000000-2-111-10000
χ30222-12222-122-122-1-1-1-12222-1-1-1-1-1-1-211-1-1-2-2-2-2-1-11111111100-2-200000000021-1-110000
χ3122-222-222222-2-2-2-222222-2-2222222000-2-20000-2-200000000002-20000000000200-20000
χ3222-222-222222-2-2-2-222222-2-2222222000-2-20000-2-20000000000-220000000000-20020000
χ3322-22-2222222-2-2-22-222-2-22222-2-2-2-2000-2-2000022000000000000000000000000002-200
χ3422-22-2222222-2-2-22-222-2-22222-2-2-2-2000-2-200002200000000000000000000000000-2200
χ3522-2-12-222-1221-2-21-1-1-122-2-2-1-1-1-1-1-10−i3i311000011−i3i3−i3i3−i3i3−i3i3002-20000000000-1−i3i310000
χ3622-2-12-222-1221-2-21-1-1-122-2-2-1-1-1-1-1-10−i3i311000011−i3i3−i3i3−i3i3−i3i300-2200000000001i3−i3-10000
χ3722-2-12-222-1221-2-21-1-1-122-2-2-1-1-1-1-1-10i3−i311000011i3−i3i3−i3i3−i3i3−i3002-20000000000-1i3−i310000
χ3822-2-12-222-1221-2-21-1-1-122-2-2-1-1-1-1-1-10i3−i311000011i3−i3i3−i3i3−i3i3−i300-2200000000001−i3i3-10000
χ39444-244−1−5−1+5-2−1−5−1+5-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−524-2-21+521−52−1−5−1−5−1+5−1+51+521−521+521+521+521+521−521−521−521−520000000000000000000000
χ40444-244−1−5−1+5-2−1−5−1+5-2−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−52-4221+521−521+51+51−51−51+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000
χ41444-244−1+5−1−5-2−1+5−1−5-2−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+521−521−521+521+524-2-21−521+52−1+5−1+5−1−5−1−51−521+521−521−521−521−521+521+521+521+520000000000000000000000
χ42444-244−1+5−1−5-2−1+5−1−5-2−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+521−521−521+521+52-4221−521+521−51−51+51+51−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000
χ43444-2-4-444-244-24422-2-2-4-4-4-4-2-22222000-2-2000022000000000000000000000000000000
χ44444-2-4-4−1−5−1+5-2−1−5−1+5-2−1−5−1+5221+521−521+51−51+51−51+521−52−1−52−1−52−1+52−1+520001+521−52−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−1−52−1+52ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ470000000000000000000000
χ45444-2-4-4−1−5−1+5-2−1−5−1+5-2−1−5−1+5221+521−521+51−51+51−51+521−52−1−52−1−52−1+52−1+520001+521−522ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−1−52−1+52−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ470000000000000000000000
χ46444-2-4-4−1+5−1−5-2−1+5−1−5-2−1+5−1−5221−521+521−51+51−51+51−521+52−1+52−1+52−1−52−1−520001−521+522ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+52−1−52−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ590000000000000000000000
χ47444-2-4-4−1+5−1−5-2−1+5−1−5-2−1+5−1−5221−521+521−51+51−51+51−521+52−1+52−1+52−1−52−1−520001−521+52−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+52−1−52ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ590000000000000000000000
χ4844-444-4−1−5−1+54−1−5−1+5-41+51−5-44−1−5−1+5−1−5−1+51+51−5−1−5−1+5−1−5−1−5−1+5−1+50001+51−500001+51−5000000000000000000000000000000
χ4944-444-4−1+5−1−54−1+5−1−5-41−51+5-44−1+5−1−5−1+5−1−51−51+5−1+5−1−5−1+5−1+5−1−5−1−50001−51+500001−51+5000000000000000000000000000000
χ5044-44-44−1−5−1+54−1−5−1+5-41+51−54-4−1−5−1+51+51−5−1−5−1+5−1−5−1+51+51+51−51−50001+51−50000−1−5−1+5000000000000000000000000000000
χ5144-44-44−1+5−1−54−1+5−1−5-41−51+54-4−1+5−1−51−51+5−1+5−1−5−1+5−1−51−51−51+51+50001−51+50000−1+5−1−5000000000000000000000000000000
χ5244-4-24-4−1−5−1+5-2−1−5−1+521+51−52-21+521−52−1−5−1+51+51−51+521−521+521+521−521−520−2i32i3−1−52−1+520000−1−52−1+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000
χ5344-4-24-4−1−5−1+5-2−1−5−1+521+51−52-21+521−52−1−5−1+51+51−51+521−521+521+521−521−5202i3−2i3−1−52−1+520000−1−52−1+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000
χ5444-4-24-4−1+5−1−5-2−1+5−1−521−51+52-21−521+52−1+5−1−51−51+51−521+521−521−521+521+520−2i32i3−1+52−1−520000−1+52−1−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000000
χ5544-4-24-4−1+5−1−5-2−1+5−1−521−51+52-21−521+52−1+5−1−51−51+51−521+521−521−521+521+5202i3−2i3−1+52−1−520000−1+52−1−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000
χ5644-4-2-4444-2442-4-4-22-2-2-4-444-2-22222000220000-2-2000000000000000000000000000000
χ5744-4-2-44−1−5−1+5-2−1−5−1+521+51−5-221+521−521+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+52000−1−52−1+5200001+521−52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000000000000
χ5844-4-2-44−1−5−1+5-2−1−5−1+521+51−5-221+521−521+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+52000−1−52−1+5200001+521−52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000000000000
χ5944-4-2-44−1+5−1−5-2−1+5−1−521−51+5-221−521+521−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−52000−1+52−1−5200001−521+52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000000000000
χ6044-4-2-44−1+5−1−5-2−1+5−1−521−51+5-221−521+521−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−52000−1+52−1−5200001−521+52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000000000000
χ614-4040044-4-4-400000440000-4-400000000000000000000000000000000000000000002i−2i
χ624-4040044-4-4-400000440000-4-40000000000000000000000000000000000000000000−2i2i
χ638-80800−2−25−2+25-82+252−2500000−2−25−2+2500002+252−25000000000000000000000000000000000000000000000
χ648-80800−2+25−2−25-82−252+2500000−2+25−2−2500002−252+25000000000000000000000000000000000000000000000
χ658-80-400884-8-800000-4-4000044000000000000000000000000000000000000000000000
χ668-80-400−2−25−2+2542+252−25000001+51−50000−1−5−1+52ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ4700000000000000000000000000000000000000000
χ678-80-400−2−25−2+2542+252−25000001+51−50000−1−5−1+5−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000
χ688-80-400−2+25−2−2542−252+25000001−51+50000−1+5−1−5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000
χ698-80-400−2+25−2−2542−252+25000001−51+50000−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000

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