Finite Group Databasebeta

← Group #13104248

Character table — Group #13104248

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size111122444444444444444488888888888888884040404040404040404040404040404040404040505050505050505050505050
order1244245555101010102020202020202020510101010101010202020202020202022441010101010101010202020202020202088881616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ611-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ711-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111-1-1-111-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ811-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1
χ92222222222222222222222222222222222222200000000000000000000-2-2-2-200000000
χ102222-2-222222222222222222-2-2-2-2-2-22-2-2-2-2-2-22200000000000000000000000022−2−222−2−2
χ112222-2-222222222222222222-2-2-2-2-2-22-2-2-2-2-2-222000000000000000000000000−2−222−2−222
χ1222-2-22-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000022−2−2−2−222
χ1322-2-22-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000−2−22222−2−2
χ1422-2-2-2222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-22222222-2-20000000000000000000022-2-200000000
χ152-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i2000000-20000002i−2i00000000000000000000i2−i22−2ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79
χ162-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i2000000-20000002i−2i00000000000000000000i2−i22−2−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79
χ172-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i2000000-20000002i−2i00000000000000000000−i2i2−22−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77
χ182-22i−2i002222-2-2-2-22i2i2i2i−2i−2i−2i−2i2000000-20000002i−2i00000000000000000000−i2i2−22ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77
χ192-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2000000-2000000−2i2i00000000000000000000i2−i2−22−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77
χ202-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2000000-2000000−2i2i00000000000000000000i2−i2−22ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77
χ212-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2000000-2000000−2i2i00000000000000000000−i2i22−2ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79
χ222-2−2i2i002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2000000-2000000−2i2i00000000000000000000−i2i22−2−ζ9+ζ31−ζ41+ζ47−ζ57+ζ63−ζ73+ζ79ζ9−ζ31+ζ41−ζ47+ζ57−ζ63+ζ73−ζ79ζ11−ζ13+ζ27−ζ29+ζ43+ζ59−ζ61−ζ77−ζ11+ζ13−ζ27+ζ29−ζ43−ζ59+ζ61+ζ77−ζ11−ζ13−ζ27−ζ29−ζ43−ζ59−ζ61−ζ77ζ11+ζ13+ζ27+ζ29+ζ43+ζ59+ζ61+ζ77−ζ9−ζ31−ζ41−ζ47−ζ57−ζ63−ζ73−ζ79ζ9+ζ31+ζ41+ζ47+ζ57+ζ63+ζ73+ζ79
χ23444444−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5-1−1+53−523+52−1−5-1-1-1−1+53−523+52−1−5-1-1-1-102020000−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−52000000000000
χ24444444−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5-1−1+53−523+52−1−5-1-1-1−1+53−523+52−1−5-1-1-1-10-20-200001−521−521+521+5200001−521−521+521+52000000000000
χ254444443−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52-13−52−1−5−1+53+52-1-1-13−52−1−5−1+53+52-1-1-1-12020−1+52−1+52−1−52−1−520000−1+52−1+52−1−52−1−520000000000000000
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χ274444443+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52-13+52−1+5−1−53−52-1-1-13+52−1+5−1−53−52-1-1-1-12020−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+520000000000000000
χ284444443+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52-13+52−1+5−1−53−52-1-1-13+52−1+5−1−53−52-1-1-1-1-20-201+521+521−521−5200001+521+521−521−520000000000000000
χ29444444−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5-1−1−53+523−52−1+5-1-1-1−1−53+523−52−1+5-1-1-1-102020000−1−52−1−52−1+52−1+520000−1−52−1−52−1+52−1+52000000000000
χ30444444−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5-1−1−53+523−52−1+5-1-1-1−1−53+523−52−1+5-1-1-1-10-20-200001+521+521−521−5200001+521+521−521−52000000000000
χ314444-4-4−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5-11−5−3+52−3−521+511-11−5−3+52−3−521+511-1-100000000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72000000000000
χ324444-4-4−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5−1+53−523+52−1−5-11−5−3+52−3−521+511-11−5−3+52−3−521+511-1-100000000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72000000000000
χ334444-4-43−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52-1−3+521+51−5−3−5211-1−3+521+51−5−3−5211-1-10000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000000000000000
χ344444-4-43−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+523−52−1−5−1+53+52-1−3+521+51−5−3−5211-1−3+521+51−5−3−5211-1-10000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000000000
χ354444-4-43+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52-1−3−521−51+5−3+5211-1−3−521−51+5−3+5211-1-10000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000000000000000
χ364444-4-43+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−523+52−1+5−1−53−52-1−3−521−51+5−3+5211-1−3−521−51+5−3+5211-1-10000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000000000000000
χ374444-4-4−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5-11+5−3−52−3+521−511-11+5−3−52−3+521−511-1-100000000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56000000000000
χ384444-4-4−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5−1−53+523−52−1+5-11+5−3−52−3+521−511-11+5−3−52−3+521−511-1-100000000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56000000000000
χ3944-4-44-4−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5-1−1+53−523+52−1−5-1-1-11−5−3+52−3−521+5111100000000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72000000000000
χ4044-4-44-4−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5-1−1+53−523+52−1−5-1-1-11−5−3+52−3−521+5111100000000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72000000000000
χ4144-4-44-43−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52-13−52−1−5−1+53+52-1-1-1−3+521+51−5−3−5211110000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000000000000000
χ4244-4-44-43−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52-13−52−1−5−1+53+52-1-1-1−3+521+51−5−3−5211110000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ720000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ720000000000000000
χ4344-4-44-43+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52-13+52−1+5−1−53−52-1-1-1−3−521−51+5−3+5211110000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000000000000000
χ4444-4-44-43+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52-13+52−1+5−1−53−52-1-1-1−3−521−51+5−3+5211110000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000000000000000
χ4544-4-44-4−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5-1−1−53+523−52−1+5-1-1-11+5−3−52−3+521−5111100000000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ560000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56000000000000
χ4644-4-44-4−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5-1−1−53+523−52−1+5-1-1-11+5−3−52−3+521−5111100000000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ560000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56000000000000
χ4744-4-4-44−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5-11−5−3+52−3−521+511-1−1+53−523+52−1−5-1-111020-20000−1+52−1+52−1−52−1−5200001−521−521+521+52000000000000
χ4844-4-4-44−1+53−523+52−1−5−1+53−523+52−1−51−5−3+52−3−521+51−5−3+52−3−521+5-11−5−3+52−3−521+511-1−1+53−523+52−1−5-1-1110-20200001−521−521+521+520000−1+52−1+52−1−52−1−52000000000000
χ4944-4-4-443−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52-1−3+521+51−5−3−5211-13−52−1−5−1+53+52-1-11120-20−1+52−1+52−1−52−1−5200001−521−521+521+520000000000000000
χ5044-4-4-443−52−1−5−1+53+523−52−1−5−1+53+52−3+521+51−5−3−52−3+521+51−5−3−52-1−3+521+51−5−3−5211-13−52−1−5−1+53+52-1-111-20201−521−521+521+520000−1+52−1+52−1−52−1−520000000000000000
χ5144-4-4-443+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52-1−3−521−51+5−3+5211-13+52−1+5−1−53−52-1-11120-20−1−52−1−52−1+52−1+5200001+521+521−521−520000000000000000
χ5244-4-4-443+52−1+5−1−53−523+52−1+5−1−53−52−3−521−51+5−3+52−3−521−51+5−3+52-1−3−521−51+5−3+5211-13+52−1+5−1−53−52-1-111-20201+521+521−521−520000−1−52−1−52−1+52−1+520000000000000000
χ5344-4-4-44−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5-11+5−3−52−3+521−511-1−1−53+523−52−1+5-1-111020-20000−1−52−1−52−1+52−1+5200001+521+521−521−52000000000000
χ5444-4-4-44−1−53+523−52−1+5−1−53+523−52−1+51+5−3−52−3+521−51+5−3−52−3+521−5-11+5−3−52−3+521−511-1−1−53+523−52−1+5-1-1110-20200001+521+521−521−520000−1−52−1−52−1+52−1+52000000000000
χ55888888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23-2-2-2-2333-2-2-2-2333300000000000000000000000000000000
χ568888-8-8-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-232222-3-332222-3-33300000000000000000000000000000000
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χ5888-8-8-88-2-2-2-2-2-2-2-22222222232222-3-33-2-2-2-233-3-300000000000000000000000000000000
χ598-88i−8i00-2-2-2-22222−2i−2i−2i−2i2i2i2i2i300005-5-300005i−5i3i−3i00000000000000000000000000000000
χ608-88i−8i00-2-2-2-22222−2i−2i−2i−2i2i2i2i2i30000-55-30000−5i5i3i−3i00000000000000000000000000000000
χ618-88i−8i00−2+253−53+5−2−252−25−3+5−3−52+25−4ζ44−4ζ762ζ12+2ζ28+4ζ44+4ζ764ζ12+4ζ28+2ζ44+2ζ76−4ζ12−4ζ284ζ44+4ζ76−2ζ12−2ζ28−4ζ44−4ζ76−4ζ12−4ζ28−2ζ44−2ζ764ζ12+4ζ28-20000002000000−2i2i00000000000000000000000000000000
χ628-88i−8i003−5−2−25−2+253+5−3+52+252−25−3−52ζ12+2ζ28+4ζ44+4ζ76−4ζ12−4ζ28−4ζ44−4ζ764ζ12+4ζ28+2ζ44+2ζ76−2ζ12−2ζ28−4ζ44−4ζ764ζ12+4ζ284ζ44+4ζ76−4ζ12−4ζ28−2ζ44−2ζ76-20000002000000−2i2i00000000000000000000000000000000
χ638-88i−8i003+5−2+25−2−253−5−3−52−252+25−3+54ζ12+4ζ28+2ζ44+2ζ76−4ζ44−4ζ76−4ζ12−4ζ282ζ12+2ζ28+4ζ44+4ζ76−4ζ12−4ζ28−2ζ44−2ζ764ζ44+4ζ764ζ12+4ζ28−2ζ12−2ζ28−4ζ44−4ζ76-20000002000000−2i2i00000000000000000000000000000000
χ648-88i−8i00−2−253+53−5−2+252+25−3−5−3+52−25−4ζ12−4ζ284ζ12+4ζ28+2ζ44+2ζ762ζ12+2ζ28+4ζ44+4ζ76−4ζ44−4ζ764ζ12+4ζ28−4ζ12−4ζ28−2ζ44−2ζ76−2ζ12−2ζ28−4ζ44−4ζ764ζ44+4ζ76-20000002000000−2i2i00000000000000000000000000000000
χ658-8−8i8i00-2-2-2-222222i2i2i2i−2i−2i−2i−2i300005-5-30000−5i5i−3i3i00000000000000000000000000000000
χ668-8−8i8i00-2-2-2-222222i2i2i2i−2i−2i−2i−2i30000-55-300005i−5i−3i3i00000000000000000000000000000000
χ678-8−8i8i00−2+253−53+5−2−252−25−3+5−3−52+254ζ44+4ζ76−2ζ12−2ζ28−4ζ44−4ζ76−4ζ12−4ζ28−2ζ44−2ζ764ζ12+4ζ28−4ζ44−4ζ762ζ12+2ζ28+4ζ44+4ζ764ζ12+4ζ28+2ζ44+2ζ76−4ζ12−4ζ28-200000020000002i−2i00000000000000000000000000000000
χ688-8−8i8i003−5−2−25−2+253+5−3+52+252−25−3−5−2ζ12−2ζ28−4ζ44−4ζ764ζ12+4ζ284ζ44+4ζ76−4ζ12−4ζ28−2ζ44−2ζ762ζ12+2ζ28+4ζ44+4ζ76−4ζ12−4ζ28−4ζ44−4ζ764ζ12+4ζ28+2ζ44+2ζ76-200000020000002i−2i00000000000000000000000000000000
χ698-8−8i8i003+5−2+25−2−253−5−3−52−252+25−3+5−4ζ12−4ζ28−2ζ44−2ζ764ζ44+4ζ764ζ12+4ζ28−2ζ12−2ζ28−4ζ44−4ζ764ζ12+4ζ28+2ζ44+2ζ76−4ζ44−4ζ76−4ζ12−4ζ282ζ12+2ζ28+4ζ44+4ζ76-200000020000002i−2i00000000000000000000000000000000
χ708-8−8i8i00−2−253+53−5−2+252+25−3−5−3+52−254ζ12+4ζ28−4ζ12−4ζ28−2ζ44−2ζ76−2ζ12−2ζ28−4ζ44−4ζ764ζ44+4ζ76−4ζ12−4ζ284ζ12+4ζ28+2ζ44+2ζ762ζ12+2ζ28+4ζ44+4ζ76−4ζ44−4ζ76-200000020000002i−2i00000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.