Finite Group Databasebeta

← Group #14512246

Character table — Group #14512246

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1346612161616161346612161616162681212243232323226812122432323232268121224323232322681212243232323251520303060808080805152030306080808080
order122444336622244466665101020202015153030510102020201515303010101020202030303030101010202020303030304444441212121244444412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32
χ3111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32
χ411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1
χ511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32
χ611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32
χ7333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000
χ833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000
χ96-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000
χ106-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000
χ11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ12111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32
χ13111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32
χ1411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111
χ1511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32
χ1611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32
χ17333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000
χ1833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000
χ196-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000
χ206-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000
χ211111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i
χ22111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32iiiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−i−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59
χ23111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32iiiiii−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−i−i−i−i−i−iζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43
χ2411-111-111-1-1-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111ii−iii−iii−i−i−i−ii−i−ii−i−iii
χ2511-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32ii−iii−i−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−i−ii−i−iiζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59
χ2611-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32ii−iii−i−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−i−ii−i−iiζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43
χ27333-1-1-10000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-311100003i3i3i−i−i−i0000−3i−3i−3iiii0000
χ2833-3-1-110000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-100003i3i−3i−i−ii0000−3i−3i3iii−i0000
χ296-202i−2i00000-620−2i2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i000006i−2i0-2200000−6i2i02-200000
χ306-20−2i2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i000006i−2i02-200000−6i2i0-2200000
χ311111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii
χ32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32−i−i−i−i−i−iζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59iiiiii−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59
χ33111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−iζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43iiiiii−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43
χ3411-111-111-1-1-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111−i−ii−i−ii−i−iiiii−iii−iii−i−i
χ3511-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32−i−ii−i−iiζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ii−iii−i−ζ7−ζ19−ζ31−ζ43−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43ζ11+ζ23+ζ47+ζ59
χ3611-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32−i−ii−i−iiζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43ii−iii−i−ζ11−ζ23−ζ47−ζ59−ζ7−ζ19−ζ31−ζ43ζ11+ζ23+ζ47+ζ59ζ7+ζ19+ζ31+ζ43
χ37333-1-1-10000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000−3i−3i−3iiii00003i3i3i−i−i−i0000
χ3833-3-1-110000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000−3i−3i3iii−i00003i3i−3i−i−ii0000
χ396-202i−2i00000-620−2i2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000−6i2i02-2000006i−2i0-2200000
χ406-20−2i2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000−6i2i0-22000006i−2i02-200000
χ4122222222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000
χ42222222−1−i3−1+i3−1−i3−1+i3222222−1−i3−1+i3−1−i3−1+i3−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−ζ22−ζ58−ζ2−ζ38−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−ζ34−ζ46−ζ14−ζ26−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−ζ22−ζ58−ζ2−ζ38−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−ζ34−ζ46−ζ14−ζ2600000000000000000000
χ43222222−1+i3−1−i3−1+i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−ζ2−ζ38−ζ22−ζ58−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−ζ14−ζ26−ζ34−ζ46−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−ζ2−ζ38−ζ22−ζ58−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−ζ14−ζ26−ζ34−ζ4600000000000000000000
χ4422-222-222-2-222-222-222-2-2−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−52−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+52−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−52−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+5200000000000000000000
χ4522-222-2−1−i3−1+i31+i31−i322-222-2−1−i3−1+i31+i31−i3−1+52−1+521−52−1+52−1+521−52−ζ22−ζ58−ζ2−ζ38ζ22+ζ58ζ2+ζ38−1−52−1−521+52−1−52−1−521+52−ζ34−ζ46−ζ14−ζ26ζ34+ζ46ζ14+ζ26−1+52−1+521−52−1+52−1+521−52−ζ22−ζ58−ζ2−ζ38ζ22+ζ58ζ2+ζ38−1−52−1−521+52−1−52−1−521+52−ζ34−ζ46−ζ14−ζ26ζ34+ζ46ζ14+ζ2600000000000000000000
χ4622-222-2−1+i3−1−i31−i31+i322-222-2−1+i3−1−i31−i31+i3−1+52−1+521−52−1+52−1+521−52−ζ2−ζ38−ζ22−ζ58ζ2+ζ38ζ22+ζ58−1−52−1−521+52−1−52−1−521+52−ζ14−ζ26−ζ34−ζ46ζ14+ζ26ζ34+ζ46−1+52−1+521−52−1+52−1+521−52−ζ2−ζ38−ζ22−ζ58ζ2+ζ38ζ22+ζ58−1−52−1−521+52−1−52−1−521+52−ζ14−ζ26−ζ34−ζ46ζ14+ζ26ζ34+ζ4600000000000000000000
χ47666-2-2-20000666-2-2-20000−3+352−3+352−3+3521−521−521−520000−3−352−3−352−3−3521+521+521+520000−3+352−3+352−3+3521−521−521−520000−3−352−3−352−3−3521+521+521+52000000000000000000000000
χ4866-6-2-22000066-6-2-220000−3+352−3+3523−3521−521−52−1+520000−3−352−3−3523+3521+521+52−1−520000−3+352−3+3523−3521−521−52−1+520000−3−352−3−3523+3521+521+52−1−52000000000000000000000000
χ4912-404i−4i0000012-404i−4i00000−3+351−50−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000−3−351+50−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000−3+351−50−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000−3−351+50−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000000000000
χ5012-40−4i4i0000012-40−4i4i00000−3+351−502ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000−3−351+502ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000−3+351−502ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000−3−351+502ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000000
χ5122222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ52222222−1−i3−1+i3−1−i3−1+i3222222−1−i3−1+i3−1−i3−1+i3−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−ζ34−ζ46−ζ14−ζ26−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−ζ22−ζ58−ζ2−ζ38−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−ζ34−ζ46−ζ14−ζ26−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−ζ22−ζ58−ζ2−ζ3800000000000000000000
χ53222222−1+i3−1−i3−1+i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−ζ14−ζ26−ζ34−ζ46−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−ζ2−ζ38−ζ22−ζ58−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−ζ14−ζ26−ζ34−ζ46−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−ζ2−ζ38−ζ22−ζ5800000000000000000000
χ5422-222-222-2-222-222-222-2-2−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+52−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−52−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+52−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−5200000000000000000000
χ5522-222-2−1−i3−1+i31+i31−i322-222-2−1−i3−1+i31+i31−i3−1−52−1−521+52−1−52−1−521+52−ζ34−ζ46−ζ14−ζ26ζ34+ζ46ζ14+ζ26−1+52−1+521−52−1+52−1+521−52−ζ22−ζ58−ζ2−ζ38ζ22+ζ58ζ2+ζ38−1−52−1−521+52−1−52−1−521+52−ζ34−ζ46−ζ14−ζ26ζ34+ζ46ζ14+ζ26−1+52−1+521−52−1+52−1+521−52−ζ22−ζ58−ζ2−ζ38ζ22+ζ58ζ2+ζ3800000000000000000000
χ5622-222-2−1+i3−1−i31−i31+i322-222-2−1+i3−1−i31−i31+i3−1−52−1−521+52−1−52−1−521+52−ζ14−ζ26−ζ34−ζ46ζ14+ζ26ζ34+ζ46−1+52−1+521−52−1+52−1+521−52−ζ2−ζ38−ζ22−ζ58ζ2+ζ38ζ22+ζ58−1−52−1−521+52−1−52−1−521+52−ζ14−ζ26−ζ34−ζ46ζ14+ζ26ζ34+ζ46−1+52−1+521−52−1+52−1+521−52−ζ2−ζ38−ζ22−ζ58ζ2+ζ38ζ22+ζ5800000000000000000000
χ57666-2-2-20000666-2-2-20000−3−352−3−352−3−3521+521+521+520000−3+352−3+352−3+3521−521−521−520000−3−352−3−352−3−3521+521+521+520000−3+352−3+352−3+3521−521−521−52000000000000000000000000
χ5866-6-2-22000066-6-2-220000−3−352−3−3523+3521+521+52−1−520000−3+352−3+3523−3521−521−52−1+520000−3−352−3−3523+3521+521+52−1−520000−3+352−3+3523−3521−521−52−1+52000000000000000000000000
χ5912-404i−4i0000012-404i−4i00000−3−351+50−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000−3+351−50−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000−3−351+50−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000−3+351−50−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000000
χ6012-40−4i4i0000012-40−4i4i00000−3−351+502ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000−3+351−502ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000−3−351+502ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000−3+351−502ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000
χ612222222222-2-2-2-2-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+5200000000000000000000
χ62222222−1−i3−1+i3−1−i3−1+i3-2-2-2-2-2-21+i31−i31+i31−i3−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−ζ22−ζ58−ζ2−ζ38−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−ζ34−ζ46−ζ14−ζ261−521−521−521−521−521−52ζ22+ζ58ζ2+ζ38ζ22+ζ58ζ2+ζ381+521+521+521+521+521+52ζ34+ζ46ζ14+ζ26ζ34+ζ46ζ14+ζ2600000000000000000000
χ63222222−1+i3−1−i3−1+i3−1−i3-2-2-2-2-2-21−i31+i31−i31+i3−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−ζ2−ζ38−ζ22−ζ58−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−ζ14−ζ26−ζ34−ζ461−521−521−521−521−521−52ζ2+ζ38ζ22+ζ58ζ2+ζ38ζ22+ζ581+521+521+521+521+521+52ζ14+ζ26ζ34+ζ46ζ14+ζ26ζ34+ζ4600000000000000000000
χ6422-222-222-2-2-2-22-2-22-2-222−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−52−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+521−521−52−1+521−521−52−1+521−521−52−1+52−1+521+521+52−1−521+521+52−1−521+521+52−1−52−1−5200000000000000000000
χ6522-222-2−1−i3−1+i31+i31−i3-2-22-2-221+i31−i3−1−i3−1+i3−1+52−1+521−52−1+52−1+521−52−ζ22−ζ58−ζ2−ζ38ζ22+ζ58ζ2+ζ38−1−52−1−521+52−1−52−1−521+52−ζ34−ζ46−ζ14−ζ26ζ34+ζ46ζ14+ζ261−521−52−1+521−521−52−1+52ζ22+ζ58ζ2+ζ38−ζ22−ζ58−ζ2−ζ381+521+52−1−521+521+52−1−52ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ2600000000000000000000
χ6622-222-2−1+i3−1−i31−i31+i3-2-22-2-221−i31+i3−1+i3−1−i3−1+52−1+521−52−1+52−1+521−52−ζ2−ζ38−ζ22−ζ58ζ2+ζ38ζ22+ζ58−1−52−1−521+52−1−52−1−521+52−ζ14−ζ26−ζ34−ζ46ζ14+ζ26ζ34+ζ461−521−52−1+521−521−52−1+52ζ2+ζ38ζ22+ζ58−ζ2−ζ38−ζ22−ζ581+521+52−1−521+521+52−1−52ζ14+ζ26ζ34+ζ46−ζ14−ζ26−ζ34−ζ4600000000000000000000
χ67666-2-2-20000-6-6-62220000−3+352−3+352−3+3521−521−521−520000−3−352−3−352−3−3521+521+521+5200003−3523−3523−352−1+52−1+52−1+5200003+3523+3523+352−1−52−1−52−1−52000000000000000000000000
χ6866-6-2-220000-6-6622-20000−3+352−3+3523−3521−521−52−1+520000−3−352−3−3523+3521+521+52−1−5200003−3523−352−3+352−1+52−1+521−5200003+3523+352−3−352−1−52−1−521+52000000000000000000000000
χ6912-404i−4i00000-1240−4i4i00000−3+351−50−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000−3−351+50−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000003−35−1+502ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000003+35−1−502ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000000000000000000000000
χ7012-40−4i4i00000-12404i−4i00000−3+351−502ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000−3−351+502ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000003−35−1+50−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000003+35−1−50−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000000000000
χ712222222222-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−5200000000000000000000
χ72222222−1−i3−1+i3−1−i3−1+i3-2-2-2-2-2-21+i31−i31+i31−i3−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−ζ34−ζ46−ζ14−ζ26−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−ζ22−ζ58−ζ2−ζ381+521+521+521+521+521+52ζ34+ζ46ζ14+ζ26ζ34+ζ46ζ14+ζ261−521−521−521−521−521−52ζ22+ζ58ζ2+ζ38ζ22+ζ58ζ2+ζ3800000000000000000000
χ73222222−1+i3−1−i3−1+i3−1−i3-2-2-2-2-2-21−i31+i31−i31+i3−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−ζ14−ζ26−ζ34−ζ46−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−ζ2−ζ38−ζ22−ζ581+521+521+521+521+521+52ζ14+ζ26ζ34+ζ46ζ14+ζ26ζ34+ζ461−521−521−521−521−521−52ζ2+ζ38ζ22+ζ58ζ2+ζ38ζ22+ζ5800000000000000000000
χ7422-222-222-2-2-2-22-2-22-2-222−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+52−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−521+521+52−1−521+521+52−1−521+521+52−1−52−1−521−521−52−1+521−521−52−1+521−521−52−1+52−1+5200000000000000000000
χ7522-222-2−1−i3−1+i31+i31−i3-2-22-2-221+i31−i3−1−i3−1+i3−1−52−1−521+52−1−52−1−521+52−ζ34−ζ46−ζ14−ζ26ζ34+ζ46ζ14+ζ26−1+52−1+521−52−1+52−1+521−52−ζ22−ζ58−ζ2−ζ38ζ22+ζ58ζ2+ζ381+521+52−1−521+521+52−1−52ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ261−521−52−1+521−521−52−1+52ζ22+ζ58ζ2+ζ38−ζ22−ζ58−ζ2−ζ3800000000000000000000
χ7622-222-2−1+i3−1−i31−i31+i3-2-22-2-221−i31+i3−1+i3−1−i3−1−52−1−521+52−1−52−1−521+52−ζ14−ζ26−ζ34−ζ46ζ14+ζ26ζ34+ζ46−1+52−1+521−52−1+52−1+521−52−ζ2−ζ38−ζ22−ζ58ζ2+ζ38ζ22+ζ581+521+52−1−521+521+52−1−52ζ14+ζ26ζ34+ζ46−ζ14−ζ26−ζ34−ζ461−521−52−1+521−521−52−1+52ζ2+ζ38ζ22+ζ58−ζ2−ζ38−ζ22−ζ5800000000000000000000
χ77666-2-2-20000-6-6-62220000−3−352−3−352−3−3521+521+521+520000−3+352−3+352−3+3521−521−521−5200003+3523+3523+352−1−52−1−52−1−5200003−3523−3523−352−1+52−1+52−1+52000000000000000000000000
χ7866-6-2-220000-6-6622-20000−3−352−3−3523+3521+521+52−1−520000−3+352−3+3523−3521−521−52−1+5200003+3523+352−3−352−1−52−1−521+5200003−3523−352−3+352−1+52−1+521−52000000000000000000000000
χ7912-404i−4i00000-1240−4i4i00000−3−351+50−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000−3+351−50−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000003+35−1−502ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000003−35−1+502ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000000000000000000000000
χ8012-40−4i4i00000-12404i−4i00000−3−351+502ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000−3+351−502ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000003+35−1−50−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000003−35−1+50−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000000

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