Finite Group Databasebeta

← Group #13017690

Character table — Group #13017690

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size111122224444444444444444444444488888888888888888888888888810101010202020204040404040404040404040404080808080
order12222244224444451010101010101010101010101010104442020202020202020202020202020202020202020202020204444224444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1
χ611111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ911111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-111-1-111-1-111-1-11-11-1
χ1011111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-111-1-111-11-11
χ1111111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111ii−i−i−i−iiii−i−ii
χ1211111111-1-111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111−i−iiiii−i−i−iii−i
χ1311111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-11111-1-111-1-1-11-11
χ1411111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-111-1-111-1-1111-11-1
χ1511111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ1611111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222-2-222-200002222222222222222-200-2-2-2-2-2-2-2-20000000000000000222222-2-2-20000000000000000
χ18222222-2-222-200002222222222222222-200-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-22220000000000000000
χ19222222-2-2-2-2-20000222222-2-2-2-2-2-2-2-222200-2-2-2-2222200000000000000002222-2-2-2-220000000000000000
χ20222222-2-2-2-2-20000222222-2-2-2-2-2-2-2-222200-2-2-2-222220000000000000000-2-2-2-22222-20000000000000000
χ212222-2-22200-222-2-222-2-2-2-2000000002200022-2-200002222-2-2-2-2000000002-22-2002-202-200000000000000
χ222222-2-22200-222-2-222-2-2-2-2000000002200022-2-200002222-2-2-2-200000000-22-2200-220-2200000000000000
χ232222-2-22200-2-2-22222-2-2-2-2000000002200022-2-20000-2-2-2-22222000000002-22-2002-20-2200000000000000
χ242222-2-22200-2-2-22222-2-2-2-2000000002200022-2-20000-2-2-2-2222200000000-22-2200-2202-200000000000000
χ252222-2-2-2-2002000022-2-2-2-2000000002202-2-2-2220000000000002222-2-2-2-22-22-200-220002-2000000000000
χ262222-2-2-2-2002000022-2-2-2-2000000002202-2-2-2220000000000002222-2-2-2-2-22-22002-2000-22000000000000
χ272222-2-2-2-2002000022-2-2-2-200000000220-22-2-222000000000000-2-2-2-222222-22-200-22000-22000000000000
χ282222-2-2-2-2002000022-2-2-2-200000000220-22-2-222000000000000-2-2-2-22222-22-22002-20002-2000000000000
χ2922-2-22-2002-2000002222-2-22222-2-2-2-2-2-200000000000000000000000000022-2-22-200000002−22−22−22−20000
χ3022-2-22-2002-2000002222-2-22222-2-2-2-2-2-200000000000000000000000000022-2-22-20000000−22−22−22−220000
χ3122-2-22-2002-2000002222-2-22222-2-2-2-2-2-2000000000000000000000000000-2-222-220000000i2−i2i2−i2−i2i2−i2i20000
χ3222-2-22-2002-2000002222-2-22222-2-2-2-2-2-2000000000000000000000000000-2-222-220000000−i2i2−i2i2i2−i2i2−i20000
χ3322-2-22-200-22000002222-2-2-2-2-2-22222-2-200000000000000000000000000022-2-2-2200000002−2−222−2−220000
χ3422-2-22-200-22000002222-2-2-2-2-2-22222-2-200000000000000000000000000022-2-2-220000000−222−2−222−20000
χ3522-2-22-200-22000002222-2-2-2-2-2-22222-2-2000000000000000000000000000-2-2222-20000000i2−i2−i2i2−i2i2i2−i20000
χ3622-2-22-200-22000002222-2-2-2-2-2-22222-2-2000000000000000000000000000-2-2222-20000000−i2i2i2−i2i2−i2−i2i20000
χ37444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000
χ3844444444444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-4-4-1-1-1-1-1-1-1-111111111111111110000000000000000000000000
χ3944444444-4-444444-1-1-1-1-1-111111111-1-1-4-4-4-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000000000000
χ4044444444-4-44-4-4-4-4-1-1-1-1-1-111111111-1-1-444-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000000000000
χ41444444-4-444-40000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4001111111155−5−555−5−555−5−555−5−50000000000000000000000000
χ42444444-4-444-40000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-40011111111−5−555−5−555−5−555−5−5550000000000000000000000000
χ43444444-4-4-4-4-40000-1-1-1-1-1-111111111-1-14001111-1-1-1-155−5−555−5−5−5−555−5−5550000000000000000000000000
χ44444444-4-4-4-4-40000-1-1-1-1-1-111111111-1-14001111-1-1-1-1−5−555−5−55555−5−555−5−50000000000000000000000000
χ454444-4-44400-444-4-4-1-1111155−5−555−5−5-1-1000-1-11155−5−5-1-1-1-1111155−5−5−5−5550000000000000000000000000
χ464444-4-44400-444-4-4-1-11111−5−555−5−555-1-1000-1-111−5−555-1-1-1-11111−5−55555−5−50000000000000000000000000
χ474444-4-44400-4-4-444-1-1111155−5−555−5−5-1-1000-1-11155−5−51111-1-1-1-1−5−55555−5−50000000000000000000000000
χ484444-4-44400-4-4-444-1-11111−5−555−5−555-1-1000-1-111−5−5551111-1-1-1-155−5−5−5−5550000000000000000000000000
χ494444-4-4-4-40040000-1-1111155−5−555−5−5-1-104-411-1-1−5−55555−5−5−5−555-1-1-1-111110000000000000000000000000
χ504444-4-4-4-40040000-1-1111155−5−555−5−5-1-10-4411-1-1−5−555−5−55555−5−51111-1-1-1-10000000000000000000000000
χ514444-4-4-4-40040000-1-11111−5−555−5−555-1-104-411-1-155−5−5−5−55555−5−5-1-1-1-111110000000000000000000000000
χ524444-4-4-4-40040000-1-11111−5−555−5−555-1-10-4411-1-155−5−555−5−5−5−5551111-1-1-1-10000000000000000000000000
χ5344-4-4-4400000000044-4-44400000000-4-40000000000000000000000000004-4-44000000000000000000000
χ5444-4-4-4400000000044-4-44400000000-4-4000000000000000000000000000-444-4000000000000000000000
χ554-44-4004-4000004i−4i4-40000000000004-40004-400000000004i−4i4i−4i000000000000000000000000000000000
χ564-44-4004-4000004i−4i-115−55−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36-11000-115−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36i5−i5i5−i5−ii−iiζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ380000000000000000000000000
χ574-44-4004-4000004i−4i-115−55−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36-11000-115−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36i5−i5i5−i5−ii−ii−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ380000000000000000000000000
χ584-44-4004-4000004i−4i-11−55−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36-11000-11−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−i5i5−i5i5−ii−ii−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000000000000000
χ594-44-4004-4000004i−4i-11−55−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36-11000-11−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−i5i5−i5i5−ii−iiζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000000000000000
χ604-44-4004-400000−4i4i4-40000000000004-40004-40000000000−4i4i−4i4i000000000000000000000000000000000
χ614-44-4004-400000−4i4i-115−55−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36-11000-115−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−i5i5−i5i5i−ii−i−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ380000000000000000000000000
χ624-44-4004-400000−4i4i-115−55−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36-11000-115−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−i5i5−i5i5i−ii−iζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ380000000000000000000000000
χ634-44-4004-400000−4i4i-11−55−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36-11000-11−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36i5−i5i5−i5i−ii−iζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000000000000000
χ644-44-4004-400000−4i4i-11−55−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36-11000-11−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36i5−i5i5−i5i−ii−i−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000000000000000
χ654-44-400-440004i−4i004-40000000000004-4000-440000004i−4i−4i4i0000000000000000000000000000000000000
χ664-44-400-440004i−4i00-115−55−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36-110001-1−55ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−iii−ii5−i5−i5i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000000000000000
χ674-44-400-440004i−4i00-115−55−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36-110001-1−55−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−iii−ii5−i5−i5i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000000000000000
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χ714-44-400-44000−4i4i00-115−55−5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36-110001-1−55ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36i−i−ii−i5i5i5−i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000000000000000
χ724-44-400-44000−4i4i00-115−55−5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36-110001-1−55−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36i−i−ii−i5i5i5−i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000000000000000
χ734-44-400-44000−4i4i00-11−55−55−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36-110001-15−5ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36i−i−iii5−i5−i5i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ380000000000000000000000000
χ744-44-400-44000−4i4i00-11−55−55ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36-110001-15−5−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36i−i−iii5−i5−i5i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ380000000000000000000000000
χ7588-8-88-8008-800000-2-2-2-222-2-2-2-22222220000000000000000000000000000000000000000000000000000
χ7688-8-88-800-8800000-2-2-2-2222222-2-2-2-2220000000000000000000000000000000000000000000000000000
χ7788-8-8-88000000000-2-222-2-22525−25−25−25−252525220000000000000000000000000000000000000000000000000000
χ7888-8-8-88000000000-2-222-2-2−25−2525252525−25−25220000000000000000000000000000000000000000000000000000
χ798-8-88000000000008-8000000000000-880000000000000000000000000000000000000000000000000000
χ808-8-8800000000000-2225−25−2525−2ζ4+2ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−2ζ36−2ζ4−2ζ12+2ζ28+2ζ362ζ4+2ζ12−2ζ28−2ζ362ζ4−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28+2ζ362ζ4+2ζ12−2ζ28−2ζ36−2ζ4−2ζ12+2ζ28+2ζ362-20000000000000000000000000000000000000000000000000000
χ818-8-8800000000000-2225−25−25252ζ4−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28+2ζ362ζ4+2ζ12−2ζ28−2ζ36−2ζ4−2ζ12+2ζ28+2ζ36−2ζ4+2ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−2ζ36−2ζ4−2ζ12+2ζ28+2ζ362ζ4+2ζ12−2ζ28−2ζ362-20000000000000000000000000000000000000000000000000000
χ828-8-8800000000000-22−252525−25−2ζ4−2ζ12+2ζ28+2ζ362ζ4+2ζ12−2ζ28−2ζ362ζ4−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28+2ζ362ζ4+2ζ12−2ζ28−2ζ36−2ζ4−2ζ12+2ζ28+2ζ36−2ζ4+2ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−2ζ362-20000000000000000000000000000000000000000000000000000
χ838-8-8800000000000-22−252525−252ζ4+2ζ12−2ζ28−2ζ36−2ζ4−2ζ12+2ζ28+2ζ36−2ζ4+2ζ12−2ζ28+2ζ362ζ4−2ζ12+2ζ28−2ζ36−2ζ4−2ζ12+2ζ28+2ζ362ζ4+2ζ12−2ζ28−2ζ362ζ4−2ζ12+2ζ28−2ζ36−2ζ4+2ζ12−2ζ28+2ζ362-20000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.