Finite Group Databasebeta

← Group #14512824

Character table — Group #14512824

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222244445555668888888810101212121212121212121616161616161616161616161616161624242424242424242424242430304040404040404040484848486060606060120120
order122244551010101010102020202044444436661212121222488882020202015153030303030306060606060606060222020404040404040404044666612121212101010104888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111111111-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-11111111111-1-11-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-111-1-11-1
χ61111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-111-11
χ71111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-1111111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11-1-111-11
χ81111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-11-1
χ9222222222222222222222222-1-1-1-1-1-1-1-122200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000000022-1-1-1-1-1-1-1-100002000000
χ10222222222222222222-2-2-2-222-1-1-1-1-1-1-1-1-2-2200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000-2-2111111110000-2000000
χ11222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022222222220022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000−1−52−1+52−1−52−1+520000000
χ12222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200002222222222002-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1+521+521+521−521−521+521+521−521−5200000000001+521−521+521−520000000
χ13222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022222222220022222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−52−1+52−1−520000000
χ14222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200002222222222002-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52-2-2−1+52−1−521−521−521+521+521−521−521+521+5200000000001−521+521−521+520000000
χ152222-2-222222222-2-2-2-2222222-1-1-1-11111-2-2-200002222-1-1-1-1-1-1-1-11111111100-2-200000000221111-1-1-1-10000-2000000
χ162222-2-222222222-2-2-2-2-2-2-2-222-1-1-1-1111122-200002222-1-1-1-1-1-1-1-11111111100-2-200000000-2-2-1-1-1-1111100002000000
χ172222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000222222-2-2-2-200-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000−1−52−1+521+521−520000000
χ182222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000222222-2-2-2-200-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-221+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000001+521−52−1−52−1+520000000
χ192222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000222222-2-2-2-200-222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000−1+52−1−521−521+520000000
χ202222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000222222-2-2-2-200-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-221−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−520000000
χ2122-2-20022-2-22-22-200002i2i−2i−2i2-222-2-200000000000-2-222222-22-2-2-2000000000000000000002i−2i00002i2i−2i−2i00000000000
χ2222-2-20022-2-22-22-200002i2i−2i−2i2-2-1-11133−3−30000000-2-222-1-1-11-111133−3−333−3−30000000000002i−2i−i3−i3i3i3−i−iii00000000000
χ2322-2-20022-2-22-22-200002i2i−2i−2i2-2-1-111−3−3330000000-2-222-1-1-11-1111−3−333−3−3330000000000002i−2ii3i3−i3−i3−i−iii00000000000
χ2422-2-20022-2-22-22-20000−2i−2i2i2i2-222-2-200000000000-2-222222-22-2-2-200000000000000000000−2i2i0000−2i−2i2i2i00000000000
χ2522-2-20022-2-22-22-20000−2i−2i2i2i2-2-1-11133−3−30000000-2-222-1-1-11-111133−3−333−3−3000000000000−2i2ii3i3−i3−i3ii−i−i00000000000
χ2622-2-20022-2-22-22-20000−2i−2i2i2i2-2-1-111−3−3330000000-2-222-1-1-11-1111−3−333−3−333000000000000−2i2i−i3−i3i3i3ii−i−i00000000000
χ272-2-222-22222-2-2-2-22-22-22-22-200-111-11-11-12-20−i2i2−i2i20000-1-11111-1-11-11-11-11-10000−i2i2−i2i2−i2i2−i2i2001-11-11-11-100000−i2i2−i2i200
χ282-2-222-22222-2-2-2-22-22-22-22-200-111-11-11-12-20i2−i2i2−i20000-1-11111-1-11-11-11-11-10000i2−i2i2−i2i2−i2i2−i2001-11-11-11-100000i2−i2i2−i200
χ292-2-222-22222-2-2-2-22-22-2-22-2200-111-11-11-1-220−i2i2−i2i20000-1-11111-1-11-11-11-11-10000−i2i2−i2i2−i2i2−i2i200-11-11-11-1100000i2−i2i2−i200
χ302-2-222-22222-2-2-2-22-22-2-22-2200-111-11-11-1-220i2−i2i2−i20000-1-11111-1-11-11-11-11-10000i2−i2i2−i2i2−i2i2−i200-11-11-11-1100000−i2i2−i2i200
χ312-2-22-222222-2-2-2-2-22-222-22-200-111-1-11-11-220−i2i2i2−i20000-1-11111-1-1-11-11-11-110000−i2i2−i2i2i2−i2i2−i200-11-111-11-100000−i2i2i2−i200
χ322-2-22-222222-2-2-2-2-22-222-22-200-111-1-11-11-220i2−i2−i2i20000-1-11111-1-1-11-11-11-110000i2−i2i2−i2−i2i2−i2i200-11-111-11-100000i2−i2−i2i200
χ332-2-22-222222-2-2-2-2-22-22-22-2200-111-1-11-112-20−i2i2i2−i20000-1-11111-1-1-11-11-11-110000−i2i2−i2i2i2−i2i2−i2001-11-1-11-1100000i2−i2−i2i200
χ342-2-22-222222-2-2-2-2-22-22-22-2200-111-1-11-112-20i2−i2−i2i20000-1-11111-1-1-11-11-11-110000i2−i2i2−i2−i2i2−i2i2001-11-1-11-1100000−i2i2i2−i200
χ353333333333333333333333-1-10000000033-11111-1-1-1-10000000000000000-1-1-1-111111111-1-100000000-1-1-1-1-11111-1-1
χ363333333333333333333333-1-10000000033-1-1-1-1-1-1-1-1-1000000000000000011-1-1-1-1-1-1-1-1-1-1-1-1000000001111-1-1-1-1-111
χ37333333333333333333-3-3-3-3-1-100000000-3-3-11111-1-1-1-10000000000000000-1-1-1-1111111111100000000-1-1-1-11-1-1-1-111
χ38333333333333333333-3-3-3-3-1-100000000-3-3-1-1-1-1-1-1-1-1-1000000000000000011-1-1-1-1-1-1-1-1-1-11100000000111111111-1-1
χ393333-3-333333333-3-3-3-33333-1-100000000-3-3111-1-1-1-1-1-10000000000000000-11111111-1-1-1-1-1-100000000-1-111111-1-1-11
χ403333-3-333333333-3-3-3-33333-1-100000000-3-31-1-111-1-1-1-100000000000000001-111-1-1-1-11111-1-10000000011-1-11-1-1111-1
χ413333-3-333333333-3-3-3-3-3-3-3-3-1-10000000033111-1-1-1-1-1-10000000000000000-11111111-1-1-1-11100000000-1-111-1-1-1111-1
χ423333-3-333333333-3-3-3-3-3-3-3-3-1-100000000331-1-111-1-1-1-100000000000000001-111-1-1-1-11111110000000011-1-1-111-1-1-11
χ43444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5000044-2-2-2-2-2-2-2-20040000−1−5−1+5−1−5−1+51+521−521+521+521−521−521+521−521+521+521+521+521−521−521−521−5200−1−5−1+500000000000000000000000000000
χ44444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5000044-2-2-2-2-2-2-2-20040000−1+5−1−5−1+5−1−51−521+521−521−521+521+521−521+521−521−521−521−521+521+521+521+5200−1+5−1−500000000000000000000000000000
χ454444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5000044-2-2-2-2222200-40000−1−5−1+5−1−5−1+51+521−521+521+521−521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52001+51−500000000000000000000000000000
χ464444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5000044-2-2-2-2222200-40000−1+5−1−5−1+5−1−51−521+521−521−521+521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52001−51+500000000000000000000000000000
χ4744-4-400−1−5−1+51+51−5−1−51+5−1+51−5000000004-444-4-4000000000001+51−5−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51−500000000000000000000000000000000000000000
χ4844-4-400−1−5−1+51+51−5−1−51+5−1+51−5000000004-4-2-2222323−23−2300000001+51−5−1−5−1+51+521−521+52−1−521−52−1+52−1−52−1+52−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000000000000
χ4944-4-400−1−5−1+51+51−5−1−51+5−1+51−5000000004-4-2-222−23−23232300000001+51−5−1−5−1+51+521−521+52−1−521−52−1+52−1−52−1+52ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000000000000
χ5044-4-400−1+5−1−51−51+5−1+51−5−1−51+5000000004-444-4-4000000000001−51+5−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51+500000000000000000000000000000000000000000
χ5144-4-400−1+5−1−51−51+5−1+51−5−1−51+5000000004-4-2-2222323−23−2300000001−51+5−1+5−1−51−521+521−52−1+521+52−1−52−1+52−1−52ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000000
χ5244-4-400−1+5−1−51−51+5−1+51−5−1−51+5000000004-4-2-222−23−23232300000001−51+5−1+5−1−51−521+521−52−1+521+52−1−52−1+52−1−52−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000000
χ534-44-40044-4-4-44-4400004i−4i−4i4i001-11-13−3−330000000000011-11-11-1-13−3−333−3−3300000000000000−i3i3i3−i3−iii−i00000000000
χ544-44-40044-4-4-44-4400004i−4i−4i4i001-11-1−333−30000000000011-11-11-1-1−333−3−333−300000000000000i3−i3−i3i3−iii−i00000000000
χ554-44-40044-4-4-44-4400004i−4i−4i4i00-22-22000000000000000-2-22-22-222000000000000000000000000002i−2i−2i2i00000000000
χ564-44-40044-4-4-44-440000−4i4i4i−4i001-11-13−3−330000000000011-11-11-1-13−3−333−3−3300000000000000i3−i3−i3i3i−i−ii00000000000
χ574-44-40044-4-4-44-440000−4i4i4i−4i001-11-1−333−30000000000011-11-11-1-1−333−3−333−300000000000000−i3i3i3−i3i−i−ii00000000000
χ584-44-40044-4-4-44-440000−4i4i4i−4i00-22-22000000000000000-2-22-22-22200000000000000000000000000−2i2i2i−2i00000000000
χ594-4-444-44444-4-4-4-44-44-44-44-4001-1-11-11-114-400000000011-1-1-1-111-11-11-11-1100000000000000-11-11-11-1100000000000
χ604-4-444-44444-4-4-4-44-44-4-44-44001-1-11-11-11-4400000000011-1-1-1-111-11-11-11-11000000000000001-11-11-11-100000000000
χ614-4-444-4−1−5−1+5−1−5−1+51+51+51−51−5−1−51+5−1+51−5000000-222-22-22-2000−2i22i2−2i22i200001+521−52−1−52−1−52−1+52−1+521+521−52−1−521+52−1−521+52−1+521−52−1+521−520000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119000000000000000000000
χ624-4-444-4−1−5−1+5−1−5−1+51+51+51−51−5−1−51+5−1+51−5000000-222-22-22-20002i2−2i22i2−2i200001+521−52−1−52−1−52−1+52−1+521+521−52−1−521+52−1−521+52−1+521−52−1+521−520000−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119000000000000000000000
χ634-4-444-4−1+5−1−5−1+5−1−51−51−51+51+5−1+51−5−1−51+5000000-222-22-22-2000−2i22i2−2i22i200001−521+52−1+52−1+52−1−52−1−521−521+52−1+521−52−1+521−52−1−521+52−1−521+520000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103000000000000000000000
χ644-4-444-4−1+5−1−5−1+5−1−51−51−51+51+5−1+51−5−1−51+5000000-222-22-22-20002i2−2i22i2−2i200001−521+52−1+52−1+52−1−52−1−521−521+52−1+521−52−1+521−52−1−521+52−1−521+520000−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103000000000000000000000
χ654-4-44-444444-4-4-4-4-44-444-44-4001-1-111-11-1-4400000000011-1-1-1-1111-11-11-11-1000000000000001-11-1-11-1100000000000
χ664-4-44-444444-4-4-4-4-44-44-44-44001-1-111-11-14-400000000011-1-1-1-1111-11-11-11-100000000000000-11-111-11-100000000000
χ674-4-44-44−1−5−1+5−1−5−1+51+51+51−51−51+5−1−51−5−1+5000000-222-2-22-22000−2i22i22i2−2i200001+521−52−1−52−1−52−1+52−1+521+521−521+52−1−521+52−1−521−52−1+521−52−1+520000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119000000000000000000000
χ684-4-44-44−1−5−1+5−1−5−1+51+51+51−51−51+5−1−51−5−1+5000000-222-2-22-220002i2−2i2−2i22i200001+521−52−1−52−1−52−1+52−1+521+521−521+52−1−521+52−1−521−52−1+521−52−1+520000−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119000000000000000000000
χ694-4-44-44−1+5−1−5−1+5−1−51−51−51+51+51−5−1+51+5−1−5000000-222-2-22-22000−2i22i22i2−2i200001−521+52−1+52−1+52−1−52−1−521−521+521−52−1+521−52−1+521+52−1−521+52−1−520000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103000000000000000000000
χ704-4-44-44−1+5−1−5−1+5−1−51−51−51+51+51−5−1+51+5−1−5000000-222-2-22-220002i2−2i2−2i22i200001−521+52−1+52−1+52−1−52−1−521−521+521−52−1+521−52−1+521+52−1−521+52−1−520000−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103000000000000000000000
χ71666666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3−352−3+352−3+3520000-2-20000000000-222221+521−521+521−520000000000000000-2-21+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000001+521−521+521−520000000
χ72666666−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3−352−3+352−3+3520000-2-20000000000-2-2-2-2-21+521−521+521−520000000000000000221+521−521+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+520000000
χ73666666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3+352−3−352−3−3520000-2-20000000000-222221−521+521−521+520000000000000000-2-21−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+521−521+520000000
χ74666666−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3+352−3−352−3−3520000-2-20000000000-2-2-2-2-21−521+521−521+520000000000000000221−521+521−521−521+521+521−521−521+521+520000000000−1+52−1−52−1+52−1−520000000
χ756666-6-6−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+3523+3523+3523−3523−3520000-2-20000000000222-2-21+521−521+521−520000000000000000-22−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000001+521−52−1−52−1+520000000
χ766666-6-6−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+3523+3523+3523−3523−3520000-2-200000000002-2-2221+521−521+521−5200000000000000002-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000−1−52−1+521+521−520000000
χ776666-6-6−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−3523−3523−3523+3523+3520000-2-20000000000222-2-21−521+521−521+520000000000000000-22−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000001−521+52−1+52−1−520000000
χ786666-6-6−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−3523−3523−3523+3523+3520000-2-200000000002-2-2221−521+521−521+5200000000000000002-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000−1+52−1−521−521+520000000
χ7966-6-60066-6-66-66-600006i6i−6i−6i-2200000000000000022-2-20000000000000000000000000000−2i2i0000000000000000000
χ8066-6-60066-6-66-66-60000−6i−6i6i6i-2200000000000000022-2-200000000000000000000000000002i−2i0000000000000000000
χ818-88-800−2−25−2+252+252−252+25−2−252−25−2+2500000000002-22-223−23−232300000000000−1−52−1+521+52−1−521−52−1+521+521−52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000000000000
χ828-88-800−2−25−2+252+252−252+25−2−252−25−2+2500000000002-22-2−232323−2300000000000−1−52−1+521+52−1−521−52−1+521+521−52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000000000000
χ838-88-800−2−25−2+252+252−252+25−2−252−25−2+250000000000-44-440000000000000001+51−5−1−51+5−1+51−5−1−5−1+500000000000000000000000000000000000000000
χ848-88-800−2+25−2−252−252+252−25−2+252+25−2−2500000000002-22-223−23−232300000000000−1+52−1−521−52−1+521+52−1−521−521+52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000000
χ858-88-800−2+25−2−252−252+252−25−2+252+25−2−2500000000002-22-2−232323−2300000000000−1+52−1−521−52−1+521+52−1−521−521+52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000000
χ868-88-800−2+25−2−252−252+252−25−2+252+25−2−250000000000-44-440000000000000001−51+5−1+51−5−1−51+5−1+5−1−500000000000000000000000000000000000000000
χ878-8-888-8−2−25−2+25−2−25−2+252+252+252−252−25−2−252+25−2+252−250000002-2-22-22-2200000000000−1−52−1+521+521+521−521−52−1−52−1+521+52−1−521+52−1−521−52−1+521−52−1+52000000000000000000000000000000000
χ888-8-888-8−2+25−2−25−2+25−2−252−252−252+252+25−2+252−25−2−252+250000002-2-22-22-2200000000000−1+52−1−521−521−521+521+52−1+52−1−521−52−1+521−52−1+521+52−1−521+52−1−52000000000000000000000000000000000
χ898-8-88-88−2−25−2+25−2−25−2+252+252+252−252−252+25−2−252−25−2+250000002-2-222-22-200000000000−1−52−1+521+521+521−521−52−1−52−1+52−1−521+52−1−521+52−1+521−52−1+521−52000000000000000000000000000000000
χ908-8-88-88−2+25−2−25−2+25−2−252−252−252+252+252−25−2+252+25−2−250000002-2-222-22-200000000000−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1+521−52−1−521+52−1−521+52000000000000000000000000000000000
χ911212-12-1200−3−35−3+353+353−35−3−353+35−3+353−3500000000-44000000000000000−1−5−1+51+51−50000000000000000000000000000000000000000000000000
χ921212-12-1200−3+35−3−353−353+35−3+353−35−3−353+3500000000-44000000000000000−1+5−1−51−51+50000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.