Finite Group Databasebeta

← Group #14513339

Character table — Group #14513339

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122666688888888121212121212121222224412121212161616161616161624242424242424242222441212121216161616161616162424242424242424555510103030303040404040404040406060606060606060
order1222224444366666664444888851010101010202020201530303030303030202020204040404051010101010202020201530303030303030202020204040404022222244446666666644448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ31111-1-11-1-111111-1-1-1-111-1-111-1-11111-1-11-1-111111-1-1-1-111-1-111-1-11111-1-11-1-111111-1-1-1-111-1-111-1-11111-1-11-1-111111-1-1-1-111-1-111-1-1
χ41111-1-11-1-111111-1-1-1-1-1-111-1-1111111-1-11-1-111111-1-1-1-1-1-111-1-1111111-1-11-1-111111-1-1-1-1-1-111-1-1111111-1-11-1-111111-1-1-1-1-1-111-1-111
χ511-1-11-111-1-111-1-111-1-1i−ii−ii−ii−i11-1-11-111-1-111-1-111-1-1i−ii−ii−ii−i11-1-11-111-1-111-1-111-1-1i−ii−ii−ii−i11-1-11-111-1-111-1-111-1-1i−ii−ii−ii−i
χ611-1-11-111-1-111-1-111-1-1−ii−ii−ii−ii11-1-11-111-1-111-1-111-1-1−ii−ii−ii−ii11-1-11-111-1-111-1-111-1-1−ii−ii−ii−ii11-1-11-111-1-111-1-111-1-1−ii−ii−ii−ii
χ711-1-1-111-11-111-1-1-1-111i−i−iii−i−ii11-1-1-111-11-111-1-1-1-111i−i−iii−i−ii11-1-1-111-11-111-1-1-1-111i−i−iii−i−ii11-1-1-111-11-111-1-1-1-111i−i−iii−i−ii
χ811-1-1-111-11-111-1-1-1-111−iii−i−iii−i11-1-1-111-11-111-1-1-1-111−iii−i−iii−i11-1-1-111-11-111-1-1-1-111−iii−i−iii−i11-1-1-111-11-111-1-1-1-111−iii−i−iii−i
χ92222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-100000000
χ102222-2-22-2-22-1-1-1-11111000000002222-2-22-2-22-1-1-1-11111000000002222-2-22-2-22-1-1-1-11111000000002222-2-22-2-22-1-1-1-1111100000000
χ1122-2-22-222-2-2-1-111-1-1110000000022-2-22-222-2-2-1-111-1-1110000000022-2-22-222-2-2-1-111-1-1110000000022-2-22-222-2-2-1-111-1-11100000000
χ1222-2-2-222-22-2-1-11111-1-10000000022-2-2-222-22-2-1-11111-1-10000000022-2-2-222-22-2-1-11111-1-10000000022-2-2-222-22-2-1-11111-1-100000000
χ13333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1
χ14333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111
χ153333-3-3-111-10000000011-1-1-1-1113333-3-3-111-10000000011-1-1-1-1113333-3-3-111-10000000011-1-1-1-1113333-3-3-111-10000000011-1-1-1-111
χ163333-3-3-111-100000000-1-11111-1-13333-3-3-111-100000000-1-11111-1-13333-3-3-111-100000000-1-11111-1-13333-3-3-111-100000000-1-11111-1-1
χ1733-3-33-3-1-11100000000i−ii−i−ii−ii33-3-33-3-1-11100000000i−ii−i−ii−ii33-3-33-3-1-11100000000i−ii−i−ii−ii33-3-33-3-1-11100000000i−ii−i−ii−ii
χ1833-3-33-3-1-11100000000−ii−iii−ii−i33-3-33-3-1-11100000000−ii−iii−ii−i33-3-33-3-1-11100000000−ii−iii−ii−i33-3-33-3-1-11100000000−ii−iii−ii−i
χ1933-3-3-33-11-1100000000i−i−ii−iii−i33-3-3-33-11-1100000000i−i−ii−iii−i33-3-3-33-11-1100000000i−i−ii−iii−i33-3-3-33-11-1100000000i−i−ii−iii−i
χ2033-3-3-33-11-1100000000−iii−ii−i−ii33-3-3-33-11-1100000000−iii−ii−i−ii33-3-3-33-11-1100000000−iii−ii−i−ii33-3-3-33-11-1100000000−iii−ii−i−ii
χ214-44-40000001-11-1−i3i3−i3i3000000004-44-40000001-11-1−i3i3−i3i3000000004-44-40000001-11-1−i3i3−i3i3000000004-44-40000001-11-1−i3i3−i3i300000000
χ224-44-40000001-11-1i3−i3i3−i3000000004-44-40000001-11-1i3−i3i3−i3000000004-44-40000001-11-1i3−i3i3−i3000000004-44-40000001-11-1i3−i3i3−i300000000
χ234-44-4000000-22-220000000000004-44-4000000-22-220000000000004-44-4000000-22-220000000000004-44-4000000-22-22000000000000
χ244-4-440000001-1-11−i3i3i3−i3000000004-4-440000001-1-11−i3i3i3−i3000000004-4-440000001-1-11−i3i3i3−i3000000004-4-440000001-1-11−i3i3i3−i300000000
χ254-4-440000001-1-11i3−i3−i3i3000000004-4-440000001-1-11i3−i3−i3i3000000004-4-440000001-1-11i3−i3−i3i3000000004-4-440000001-1-11i3−i3−i3i300000000
χ264-4-44000000-222-20000000000004-4-44000000-222-20000000000004-4-44000000-222-20000000000004-4-44000000-222-2000000000000
χ27111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ28111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ291111-1-11-1-111111-1-1-1-111-1-111-1-11111-1-11-1-111111-1-1-1-111-1-111-1-11111-1-11-1-111111-1-1-1-111-1-111-1-1-1-1-1-111-111-1-1-1-1-11111-1-111-1-111
χ301111-1-11-1-111111-1-1-1-1-1-111-1-1111111-1-11-1-111111-1-1-1-1-1-111-1-1111111-1-11-1-111111-1-1-1-1-1-111-1-111-1-1-1-111-111-1-1-1-1-1111111-1-111-1-1
χ3111-1-11-111-1-111-1-111-1-1i−ii−ii−ii−i11-1-11-111-1-111-1-111-1-1i−ii−ii−ii−i11-1-11-111-1-111-1-111-1-1i−ii−ii−ii−i-1-111-11-1-111-1-111-1-111−ii−ii−ii−ii
χ3211-1-11-111-1-111-1-111-1-1−ii−ii−ii−ii11-1-11-111-1-111-1-111-1-1−ii−ii−ii−ii11-1-11-111-1-111-1-111-1-1−ii−ii−ii−ii-1-111-11-1-111-1-111-1-111i−ii−ii−ii−i
χ3311-1-1-111-11-111-1-1-1-111i−i−iii−i−ii11-1-1-111-11-111-1-1-1-111i−i−iii−i−ii11-1-1-111-11-111-1-1-1-111i−i−iii−i−ii-1-1111-1-11-11-1-11111-1-1−iii−i−iii−i
χ3411-1-1-111-11-111-1-1-1-111−iii−i−iii−i11-1-1-111-11-111-1-1-1-111−iii−i−iii−i11-1-1-111-11-111-1-1-1-111−iii−i−iii−i-1-1111-1-11-11-1-11111-1-1i−i−iii−i−ii
χ352222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-21111111100000000
χ362222-2-22-2-22-1-1-1-11111000000002222-2-22-2-22-1-1-1-11111000000002222-2-22-2-22-1-1-1-1111100000000-2-2-2-222-222-21111-1-1-1-100000000
χ3722-2-22-222-2-2-1-111-1-1110000000022-2-22-222-2-2-1-111-1-1110000000022-2-22-222-2-2-1-111-1-11100000000-2-222-22-2-22211-1-111-1-100000000
χ3822-2-2-222-22-2-1-11111-1-10000000022-2-2-222-22-2-1-11111-1-10000000022-2-2-222-22-2-1-11111-1-100000000-2-2222-2-22-2211-1-1-1-11100000000
χ39333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1333333-1-1-1-1000000001111-1-1-1-1-3-3-3-3-3-3111100000000-1-1-1-11111
χ40333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111333333-1-1-1-100000000-1-1-1-11111-3-3-3-3-3-31111000000001111-1-1-1-1
χ413333-3-3-111-10000000011-1-1-1-1113333-3-3-111-10000000011-1-1-1-1113333-3-3-111-10000000011-1-1-1-111-3-3-3-3331-1-1100000000-1-11111-1-1
χ423333-3-3-111-100000000-1-11111-1-13333-3-3-111-100000000-1-11111-1-13333-3-3-111-100000000-1-11111-1-1-3-3-3-3331-1-110000000011-1-1-1-111
χ4333-3-33-3-1-11100000000i−ii−i−ii−ii33-3-33-3-1-11100000000i−ii−i−ii−ii33-3-33-3-1-11100000000i−ii−i−ii−ii-3-333-3311-1-100000000−ii−iii−ii−i
χ4433-3-33-3-1-11100000000−ii−iii−ii−i33-3-33-3-1-11100000000−ii−iii−ii−i33-3-33-3-1-11100000000−ii−iii−ii−i-3-333-3311-1-100000000i−ii−i−ii−ii
χ4533-3-3-33-11-1100000000i−i−ii−iii−i33-3-3-33-11-1100000000i−i−ii−iii−i33-3-3-33-11-1100000000i−i−ii−iii−i-3-3333-31-11-100000000−iii−ii−i−ii
χ4633-3-3-33-11-1100000000−iii−ii−i−ii33-3-3-33-11-1100000000−iii−ii−i−ii33-3-3-33-11-1100000000−iii−ii−i−ii-3-3333-31-11-100000000i−i−ii−iii−i
χ474-44-40000001-11-1−i3i3−i3i3000000004-44-40000001-11-1−i3i3−i3i3000000004-44-40000001-11-1−i3i3−i3i300000000-44-44000000-11-11i3−i3i3−i300000000
χ484-44-40000001-11-1i3−i3i3−i3000000004-44-40000001-11-1i3−i3i3−i3000000004-44-40000001-11-1i3−i3i3−i300000000-44-44000000-11-11−i3i3−i3i300000000
χ494-44-4000000-22-220000000000004-44-4000000-22-220000000000004-44-4000000-22-22000000000000-44-440000002-22-2000000000000
χ504-4-440000001-1-11−i3i3i3−i3000000004-4-440000001-1-11−i3i3i3−i3000000004-4-440000001-1-11−i3i3i3−i300000000-444-4000000-111-1i3−i3−i3i300000000
χ514-4-440000001-1-11i3−i3−i3i3000000004-4-440000001-1-11i3−i3−i3i3000000004-4-440000001-1-11i3−i3−i3i300000000-444-4000000-111-1−i3i3i3−i300000000
χ524-4-44000000-222-20000000000004-4-44000000-222-20000000000004-4-44000000-222-2000000000000-444-40000002-2-22000000000000
χ5322222222222222222222222222−1+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+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000
χ54222222222222222222-2-2-2-2-2-2-2-2−1+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+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+5200000000000000000000000000
χ552222-2-22-2-222222-2-2-2-222-2-222-2-2−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−521+521+5200000000000000000000000000
χ562222-2-22-2-222222-2-2-2-2-2-222-2-222−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−521+521+52−1−52−1−5200000000000000000000000000
χ5722-2-22-222-2-222-2-222-2-22i−2i2i−2i2i−2i2i−2i−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000000000
χ5822-2-22-222-2-222-2-222-2-2−2i2i−2i2i−2i2i−2i2i−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000000000
χ5922-2-2-222-22-222-2-2-2-2222i−2i−2i2i2i−2i−2i2i−1+52−1+521−521−521−52−1+52−1+521−52−1+521−52−1+52−1+521−521−521−521−52−1+52−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−1−52−1−521+521+521+52−1−52−1−521+52−1−521+52−1−52−1−521+521+521+521+52−1−52−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ5900000000000000000000000000
χ6022-2-2-222-22-222-2-2-2-222−2i2i2i−2i−2i2i2i−2i−1+52−1+521−521−521−52−1+52−1+521−52−1+521−52−1+52−1+521−521−521−521−52−1+52−1+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1−521+521+521+52−1−52−1−521+52−1−521+52−1−52−1−521+521+521+521+52−1−52−1−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ5900000000000000000000000000
χ614444444444-2-2-2-2-2-2-2-200000000−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+5−1+51−521−521−521−521−521−521−521−5200000000−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−5−1−51+521+521+521+521+521+521+521+520000000000000000000000000000000000
χ624444-4-44-4-44-2-2-2-2222200000000−1+5−1+5−1+5−1+51−51−5−1+51−51−5−1+51−521−521−521−52−1+52−1+52−1+52−1+5200000000−1−5−1−5−1−5−1−51+51+5−1−51+51+5−1−51+521+521+521+52−1−52−1−52−1−52−1−520000000000000000000000000000000000
χ6344-4-44-444-4-4-2-222-2-22200000000−1+5−1+51−51−5−1+51−5−1+5−1+51−51−51−521−52−1+52−1+521−521−52−1+52−1+5200000000−1−5−1−51+51+5−1−51+5−1−5−1−51+51+51+521+52−1−52−1−521+521+52−1−52−1−520000000000000000000000000000000000
χ6444-4-4-444-44-4-2-22222-2-200000000−1+5−1+51−51−51−5−1+5−1+51−5−1+51−51−521−52−1+52−1+52−1+52−1+521−521−5200000000−1−5−1−51+51+51+5−1−5−1−51+5−1−51+51+521+52−1−52−1−52−1−52−1−521+521+520000000000000000000000000000000000
χ65666666-2-2-2-2000000002222-2-2-2-2−3+352−3+352−3+352−3+352−3+352−3+3521−521−521−521−5200000000−1+52−1+52−1+52−1+521−521−521−521−52−3−352−3−352−3−352−3−352−3−352−3−3521+521+521+521+5200000000−1−52−1−52−1−52−1−521+521+521+521+5200000000000000000000000000
χ66666666-2-2-2-200000000-2-2-2-22222−3+352−3+352−3+352−3+352−3+352−3+3521−521−521−521−52000000001−521−521−521−52−1+52−1+52−1+52−1+52−3−352−3−352−3−352−3−352−3−352−3−3521+521+521+521+52000000001+521+521+521+52−1−52−1−52−1−52−1−5200000000000000000000000000
χ676666-6-6-222-20000000022-2-2-2-222−3+352−3+352−3+352−3+3523−3523−3521−52−1+52−1+521−5200000000−1+52−1+521−521−521−521−52−1+52−1+52−3−352−3−352−3−352−3−3523+3523+3521+52−1−52−1−521+5200000000−1−52−1−521+521+521+521+52−1−52−1−5200000000000000000000000000
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χ748-88-80000002-22-22i3−2i32i3−2i300000000−2+252−25−2+252−25000000−1+521−52−1+521−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ5800000000−2−252+25−2−252+25000000−1−521+52−1−521+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000000000
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χ768-8-880000002-2-22−2i32i32i3−2i300000000−2+252−252−25−2+25000000−1+521−521−52−1+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ5800000000−2−252+252+25−2−25000000−1−521+521+52−1−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000000000
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χ822222-2-22-2-222222-2-2-2-2-2-222-2-222−1−52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1+52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+521−521−52−1+52−1+5200000000000000000000000000
χ8322-2-22-222-2-222-2-222-2-22i−2i2i−2i2i−2i2i−2i−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000000000000000
χ8422-2-22-222-2-222-2-222-2-2−2i2i−2i2i−2i2i−2i2i−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000000000000000000000
χ8522-2-2-222-22-222-2-2-2-2222i−2i−2i2i2i−2i−2i2i−1−52−1−521+521+521+52−1−52−1−521+52−1−521+52−1−52−1−521+521+521+521+52−1−52−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−1+52−1+521−521−521−52−1+52−1+521−52−1+521−52−1+52−1+521−521−521−521−52−1+52−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000000000000000000000
χ8622-2-2-222-22-222-2-2-2-222−2i2i2i−2i−2i2i2i−2i−1−52−1−521+521+521+52−1−52−1−521+52−1−521+52−1−52−1−521+521+521+521+52−1−52−1−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1+521−521−521−52−1+52−1+521−52−1+521−52−1+52−1+521−521−521−521−52−1+52−1+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000000000000000
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χ91666666-2-2-2-2000000002222-2-2-2-2−3−352−3−352−3−352−3−352−3−352−3−3521+521+521+521+5200000000−1−52−1−52−1−52−1−521+521+521+521+52−3+352−3+352−3+352−3+352−3+352−3+3521−521−521−521−5200000000−1+52−1+52−1+52−1+521−521−521−521−5200000000000000000000000000
χ92666666-2-2-2-200000000-2-2-2-22222−3−352−3−352−3−352−3−352−3−352−3−3521+521+521+521+52000000001+521+521+521+52−1−52−1−52−1−52−1−52−3+352−3+352−3+352−3+352−3+352−3+3521−521−521−521−52000000001−521−521−521−52−1+52−1+52−1+52−1+5200000000000000000000000000
χ936666-6-6-222-20000000022-2-2-2-222−3−352−3−352−3−352−3−3523+3523+3521+52−1−52−1−521+5200000000−1−52−1−521+521+521+521+52−1−52−1−52−3+352−3+352−3+352−3+3523−3523−3521−52−1+52−1+521−5200000000−1+52−1+521−521−521−521−52−1+52−1+5200000000000000000000000000
χ946666-6-6-222-200000000-2-22222-2-2−3−352−3−352−3−352−3−3523+3523+3521+52−1−52−1−521+52000000001+521+52−1−52−1−52−1−52−1−521+521+52−3+352−3+352−3+352−3+3523−3523−3521−52−1+52−1+521−52000000001−521−52−1+52−1+52−1+52−1+521−521−5200000000000000000000000000
χ9566-6-66-6-2-222000000002i−2i2i−2i−2i2i−2i2i−3−352−3−3523+3523+352−3−3523+3521+521+52−1−52−1−5200000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−3+352−3+3523−3523−352−3+3523−3521−521−52−1+52−1+5200000000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000000000000000000000
χ9666-6-66-6-2-22200000000−2i2i−2i2i2i−2i2i−2i−3−352−3−3523+3523+352−3−3523+3521+521+52−1−52−1−5200000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−3+352−3+3523−3523−352−3+3523−3521−521−52−1+52−1+5200000000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000000000000000
χ9766-6-6-66-22-22000000002i−2i−2i2i−2i2i2i−2i−3−352−3−3523+3523+3523+352−3−3521+52−1−521+52−1−5200000000−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−3+352−3+3523−3523−3523−352−3+3521−52−1+521−52−1+5200000000−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ4700000000000000000000000000
χ9866-6-6-66-22-2200000000−2i2i2i−2i2i−2i−2i2i−3−352−3−3523+3523+3523+352−3−3521+52−1−521+52−1−5200000000ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−3+352−3+3523−3523−3523−352−3+3521−52−1+521−52−1+5200000000ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ4700000000000000000000000000
χ998-88-80000002-22-2−2i32i3−2i32i300000000−2−252+25−2−252+25000000−1−521+52−1−521+52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600000000−2+252−25−2+252−25000000−1+521−52−1+521−52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000000000
χ1008-88-80000002-22-22i3−2i32i3−2i300000000−2−252+25−2−252+25000000−1−521+52−1−521+52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600000000−2+252−25−2+252−25000000−1+521−52−1+521−52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000000000000
χ1018-88-8000000-44-44000000000000−2−252+25−2−252+250000001+5−1−51+5−1−5000000000000−2+252−25−2+252−250000001−5−1+51−5−1+500000000000000000000000000000000000000
χ1028-8-880000002-2-22−2i32i32i3−2i300000000−2−252+252+25−2−25000000−1−521+521+52−1−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ4600000000−2+252−252−25−2+25000000−1+521−521−52−1+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000000000000
χ1038-8-880000002-2-222i3−2i3−2i32i300000000−2−252+252+25−2−25000000−1−521+521+52−1−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ4600000000−2+252−252−25−2+25000000−1+521−521−52−1+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000000000
χ1048-8-88000000-444-4000000000000−2−252+252+25−2−250000001+5−1−5−1−51+5000000000000−2+252−252−25−2+250000001−5−1+5−1+51−500000000000000000000000000000000000000

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