Finite Group Databasebeta

← Group #10601055

Character table — Group #10601055

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111122222222222222222222444444444444444444444444444488888888888888888888202020202020202040404040
order1222222244445510101010101010101010101010108888202020202020202040404040404040404040404040404040444420202020202020202020202020202020444488884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ9222222222222−1+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+52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ10222222222222−1+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+52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000
χ11222222222222−1+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+52−1−52-2-2-2-2−1+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+5222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ12222222222222−1+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+52−1−52-2-2-2-2−1+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+52-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000
χ13222222222222−1−52−1+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+522222−1−52−1−52−1−52−1+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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ14222222222222−1−52−1+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+522222−1−52−1−52−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000
χ15222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ16222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000
χ1722222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-200000000000000000000000000000000000022-2-200000000
χ1822222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-22200000000
χ19222-22-2-2-222-2-22222-2-2-222-2-2-2-2-222000022-222-2-2-200000000000000002-2000000000022-2-222-2-2000000000000
χ20222-22-2-2-222-2-22222-2-2-222-2-2-2-2-222000022-222-2-2-20000000000000000-220000000000-2-222-2-222000000000000
χ21222-22-2-2-222-2-2−1+52−1−52−1+52−1+521−521−521−52−1−52−1−521+521+521+521−521+52−1+52−1−520000−1+52−1+521−52−1−52−1−521+521−521+52−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ142-200−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−1+52−1+521−521−52−1−52−1−521+521+52000000000000
χ22222-22-2-2-222-2-2−1+52−1−52−1+52−1+521−521−521−52−1−52−1−521+521+521+521−521+52−1+52−1−520000−1+52−1+521−52−1−52−1−521+521−521+52−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14-2200ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ141−521−52−1+52−1+521+521+52−1−52−1−52000000000000
χ23222-22-2-2-222-2-2−1+52−1−52−1+52−1+521−521−521−52−1−52−1−521+521+521+521−521+52−1+52−1−520000−1+52−1+521−52−1−52−1−521+521−521+52ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ142-200ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−1+52−1+521−521−52−1−52−1−521+521+52000000000000
χ24222-22-2-2-222-2-2−1+52−1−52−1+52−1+521−521−521−52−1−52−1−521+521+521+521−521+52−1+52−1−520000−1+52−1+521−52−1−52−1−521+521−521+52ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14-2200−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ141−521−52−1+52−1+521+521+52−1−52−1−52000000000000
χ25222-22-2-2-222-2-2−1−52−1+52−1−52−1−521+521+521+52−1+52−1+521−521−521−521+521−52−1−52−1+520000−1−52−1−521+52−1+52−1+521−521+521−52ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ382-200ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−1−52−1−521+521+52−1+52−1+521−521−52000000000000
χ26222-22-2-2-222-2-2−1−52−1+52−1−52−1−521+521+521+52−1+52−1+521−521−521−521+521−52−1−52−1+520000−1−52−1−521+52−1+52−1+521−521+521−52ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38-2200−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ381+521+52−1−52−1−521−521−52−1+52−1+52000000000000
χ27222-22-2-2-222-2-2−1−52−1+52−1−52−1−521+521+521+52−1+52−1+521−521−521−521+521−52−1−52−1+520000−1−52−1−521+52−1+52−1+521−521+521−52−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ382-200−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−1−52−1−521+521+52−1+52−1+521−521−52000000000000
χ28222-22-2-2-222-2-2−1−52−1+52−1−52−1−521+521+521+52−1+52−1+521−521−521−521+521−52−1−52−1+520000−1−52−1−521+52−1+52−1+521−521+521−52−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38ζ22−ζ38-2200ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ381+521+52−1−52−1−521−521−52−1+52−1+52000000000000
χ29222-22-2-2-2-2-2222222-2-2-222-2-2-2-2-2220000-2-22-2-2222000000000000000000000000000000000000000000002i−2i00
χ30222-22-2-2-2-2-2222222-2-2-222-2-2-2-2-2220000-2-22-2-222200000000000000000000000000000000000000000000−2i2i00
χ3122-22-22-2-20000222-222-22-222-2-2-2-2-222−2−20000000022−2−222−2−222−2−222−2−2000000000000000000002-20022−2−20000
χ3222-22-22-2-20000222-222-22-222-2-2-2-2-222−2−20000000022−2−222−2−222−2−222−2−200000000000000000000-2200−2−2220000
χ3322-22-22-2-20000222-222-22-222-2-2-2-2-2−2−22200000000−2−222−2−222−2−222−2−222000000000000000000002-200−2−2220000
χ3422-22-22-2-20000222-222-22-222-2-2-2-2-2−2−22200000000−2−222−2−222−2−222−2−22200000000000000000000-220022−2−20000
χ352-22-2-222-2000022-222-2-2-222-2-222-2-2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000002i−2i2−22−20000
χ362-22-2-222-2000022-222-2-2-222-2-222-2-2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000−2i2i−22−220000
χ372-22-2-222-2000022-222-2-2-222-2-222-2-2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000002i−2i−22−220000
χ382-22-2-222-2000022-222-2-2-222-2-222-2-2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000−2i2i2−22−20000
χ392-2-222-22-22-22-222-2-2-22-2-2-2-22-2222200002-222-22-2-200000000000000000000000000000000000000000000002i−2i
χ402-2-222-22-22-22-222-2-2-22-2-2-2-22-2222200002-222-22-2-20000000000000000000000000000000000000000000000−2i2i
χ412-2-222-22-2-22-2222-2-2-22-2-2-2-22-222220000-22-2-22-2220000000000000000002-22-22-22-22-200000000000000000000
χ422-2-222-22-2-22-2222-2-2-22-2-2-2-22-222220000-22-2-22-222000000000000000000-22-22-22-22-2200000000000000000000
χ432-2-222-22-2-22-22−1+52−1−521−521−521−52−1+521−521+521+521+52−1−521+52−1+52−1−52−1+52−1−5200001−52−1+521−521+52−1−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36002-2−1+521−52−1+521−52−1−521+52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ442-2-222-22-2-22-22−1+52−1−521−521−521−52−1+521−521+521+521+52−1−521+52−1+52−1−52−1+52−1−5200001−52−1+521−521+52−1−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ3600-221−52−1+521−52−1+521+52−1−521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ452-2-222-22-2-22-22−1+52−1−521−521−521−52−1+521−521+521+521+52−1−521+52−1+52−1−52−1+52−1−5200001−52−1+521−521+52−1−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36002-2−1+521−52−1+521−52−1−521+52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ462-2-222-22-2-22-22−1+52−1−521−521−521−52−1+521−521+521+521+52−1−521+52−1+52−1−52−1+52−1−5200001−52−1+521−521+52−1−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ3600-221−52−1+521−52−1+521+52−1−521+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ472-2-222-22-2-22-22−1−52−1+521+521+521+52−1−521+521−521−521−52−1+521−52−1−52−1+52−1−52−1+5200001+52−1−521+521−52−1+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28002-2−1−521+52−1−521+52−1+521−52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ482-2-222-22-2-22-22−1−52−1+521+521+521+52−1−521+521−521−521−52−1+521−52−1−52−1+52−1−52−1+5200001+52−1−521+521−52−1+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ2800-221+52−1−521+52−1−521−52−1+521−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ492-2-222-22-2-22-22−1−52−1+521+521+521+52−1−521+521−521−521−52−1+521−52−1−52−1+52−1−52−1+5200001+52−1−521+521−52−1+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28002-2−1−521+52−1−521+52−1+521−52−1+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ502-2-222-22-2-22-22−1−52−1+521+521+521+52−1−521+521−521−521−52−1+521−52−1−52−1+52−1−52−1+5200001+52−1−521+521−52−1+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ2800-221+52−1−521+52−1−521−52−1+521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ512-2-2-222-222-2-2222-2-22-22-2-22-22-2-22200002-2-22-2-22200000000000000000000000000000000000000002-2-220000
χ522-2-2-222-222-2-2222-2-22-22-2-22-22-2-22200002-2-22-2-2220000000000000000000000000000000000000000-222-20000
χ532-2-2-222-22-222-222-2-22-22-2-22-22-2-2222i−2i−2i2i-222-222-2-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ542-2-2-222-22-222-222-2-22-22-2-22-22-2-222−2i2i2i−2i-222-222-2-2−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ552-2-2-222-22-222-2−1+52−1−521−521−52−1+521−52−1+521+521+52−1−521+52−1−521−521+52−1+52−1−522i−2i−2i2i1−52−1+52−1+521+52−1−52−1−521−521+52−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ140000−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ562-2-2-222-22-222-2−1+52−1−521−521−52−1+521−52−1+521+521+52−1−521+52−1−521−521+52−1+52−1−522i−2i−2i2i1−52−1+52−1+521+52−1−52−1−521−521+52−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ140000ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ572-2-2-222-22-222-2−1+52−1−521−521−52−1+521−52−1+521+521+52−1−521+52−1−521−521+52−1+52−1−52−2i2i2i−2i1−52−1+52−1+521+52−1−52−1−521−521+52ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ140000−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ582-2-2-222-22-222-2−1+52−1−521−521−52−1+521−52−1+521+521+52−1−521+52−1−521−521+52−1+52−1−52−2i2i2i−2i1−52−1+52−1+521+52−1−52−1−521−521+52ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ140000ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ592-2-2-222-22-222-2−1−52−1+521+521+52−1−521+52−1−521−521−52−1+521−52−1+521+521−52−1−52−1+522i−2i−2i2i1+52−1−52−1−521−52−1+52−1+521+521−52−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ380000ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ602-2-2-222-22-222-2−1−52−1+521+521+52−1−521+52−1−521−521−52−1+521−52−1+521+521−52−1−52−1+522i−2i−2i2i1+52−1−52−1−521−52−1+52−1+521+521−52−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ380000−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ612-2-2-222-22-222-2−1−52−1+521+521+52−1−521+52−1−521−521−52−1+521−52−1+521+521−52−1−52−1+52−2i2i2i−2i1+52−1−52−1−521−52−1+52−1+521+521−52ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ380000ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ622-2-2-222-22-222-2−1−52−1+521+521+52−1−521+52−1−521−521−52−1+521−52−1+521+521−52−1−52−1+52−2i2i2i−2i1+52−1−52−1−521−52−1+52−1+521+521−52ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ380000−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ6344444444-4-4-4-4−1+5−1−5−1+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5−1−5−1+5−1−5−1+5−1−500001−51−51−51+51+51+51−51+5000000000000000000000000000000000000000000000000
χ6444444444-4-4-4-4−1−5−1+5−1−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5−1+5−1−5−1+5−1−5−1+500001+51+51+51−51−51−51+51−5000000000000000000000000000000000000000000000000
χ65444-44-4-4-4-4-444−1+5−1−5−1+5−1+51−51−51−5−1−5−1−51+51+51+51−51+5−1+5−1−500001−51−5−1+51+51+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000
χ66444-44-4-4-4-4-444−1−5−1+5−1−5−1−51+51+51+5−1+5−1+51−51−51−51+51−5−1−5−1+500001+51+5−1−51−51−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000
χ6744-44-44-4-40000−1+5−1−5−1+51−5−1+5−1+51−5−1−51+5−1−5−1−51+51−51+51−51+52222−22−2200000000−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000000000000000000
χ6844-44-44-4-40000−1+5−1−5−1+51−5−1+5−1+51−5−1−51+5−1−5−1−51+51−51+51−51+5−22−22222200000000ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ3900000000000000000000000000000000
χ6944-44-44-4-40000−1−5−1+5−1−51+5−1−5−1−51+5−1+51−5−1+5−1+51−51+51−51+51−52222−22−2200000000ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ3700000000000000000000000000000000
χ7044-44-44-4-40000−1−5−1+5−1−51+5−1−5−1−51+5−1+51−5−1+5−1+51−51+51−51+51−5−22−22222200000000−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000000000000000000
χ7144-4-4-4-4440000444-4-4-444-4-4-4444-4-4000000000000000000000000000000000000000000000000000000000000
χ7244-4-4-4-4440000−1+5−1−5−1+51−51−51−5−1+5−1−51+51+51+5−1−5−1+5−1−51−51+5000000000000ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ3900000000000000000000000000000000
χ7344-4-4-4-4440000−1+5−1−5−1+51−51−51−5−1+5−1−51+51+51+5−1−5−1+5−1−51−51+5000000000000−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ3900000000000000000000000000000000
χ7444-4-4-4-4440000−1−5−1+5−1−51+51+51+5−1−5−1+51−51−51−5−1+5−1−5−1+51+51−5000000000000−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ3700000000000000000000000000000000
χ7544-4-4-4-4440000−1−5−1+5−1−51+51+51+5−1−5−1+51−51−51−5−1+5−1−5−1+51+51−5000000000000ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ3700000000000000000000000000000000
χ764-444-4-4-44000044-44-444-44-444-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ774-444-4-4-440000−1+5−1−51−5−1+51−5−1+5−1+51+5−1−51+5−1−5−1−51−51+51−51+5000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000000000000000000
χ784-444-4-4-440000−1+5−1−51−5−1+51−5−1+5−1+51+5−1−51+5−1−5−1−51−51+51−51+5000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000000000000000000
χ794-444-4-4-440000−1−5−1+51+5−1−51+5−1−5−1−51−5−1+51−5−1+5−1+51+51−51+51−5000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000000000000
χ804-444-4-4-440000−1−5−1+51+5−1−51+5−1−5−1−51−5−1+51−5−1+5−1+51+51−51+51−5000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000000000000000000
χ814-44-4-444-40000−1+5−1−51−5−1+5−1+51−51−51+5−1−5−1−51+51+5−1+5−1−51−51+52i2−2i22i2−2i200000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900000000000000000000000000000000
χ824-44-4-444-40000−1+5−1−51−5−1+5−1+51−51−51+5−1−5−1−51+51+5−1+5−1−51−51+5−2i22i2−2i22i200000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900000000000000000000000000000000
χ834-44-4-444-40000−1−5−1+51+5−1−5−1−51+51+51−5−1+5−1+51−51−5−1−5−1+51+51−52i2−2i22i2−2i200000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000000000000000000
χ844-44-4-444-40000−1−5−1+51+5−1−5−1−51+51+51−5−1+5−1+51−51−5−1−5−1+51+51−5−2i22i2−2i22i200000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000000000000000000000
χ854-4-444-44-44-44-4−1+5−1−51−51−51−5−1+51−51+51+51+5−1−51+5−1+5−1−5−1+5−1−50000−1+51−5−1+5−1−51+5−1−51−51+5000000000000000000000000000000000000000000000000
χ864-4-444-44-44-44-4−1−5−1+51+51+51+5−1−51+51−51−51−5−1+51−5−1−5−1+5−1−5−1+50000−1−51+5−1−5−1+51−5−1+51+51−5000000000000000000000000000000000000000000000000
χ874-4-4-444-444-4-44−1+5−1−51−51−5−1+51−5−1+51+51+5−1−51+5−1−51−51+5−1+5−1−50000−1+51−51−5−1−51+51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ884-4-4-444-444-4-44−1−5−1+51+51+5−1−51+5−1−51−51−5−1+51−5−1+51+51−5−1−5−1+50000−1−51+51+5−1+51−51−5−1−5−1+5000000000000000000000000000000000000000000000000

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