Finite Group Databasebeta

← Group #12011925

Character table — Group #12011925

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111222222222244444444444444888888888888881616161616161616161616161616161616161616161616161616161640404040808080808080
order1222225510101010101022101010101010101010101010444444202020202020202024441010101020202020202020202020202020202020202020204444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-11-1-111
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111-111-1-1
χ9222222222222222222222222222222-2-2-2-22222222200000000-2-2-2-20000-2-2-2-2000000000000000000
χ102222222222222222222222222222-2-222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-200002222000000000000000000
χ1122222222222222-2-222-2-2-2-222-2-2-2-200002-2000000000000000022-2-200000000000000000022-200000
χ1222222222222222-2-222-2-2-2-222-2-2-2-200002-2000000000000000022-2-2000000000000000000-2-2200000
χ1322222222222222-2-222-2-2-2-222-2-2-2-20000-220000000000000000-2-222000000000000000022000-20000
χ1422222222222222-2-222-2-2-2-222-2-2-2-20000-220000000000000000-2-2220000000000000000-2-200020000
χ15222222−1+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+52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−520000000000
χ16222222−1+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+52−1−52−1−52222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000000000
χ17222222−1+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+52−1−52−1−5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360000000000
χ18222222−1+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+52−1−52−1−5222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360000000000
χ19222222−1+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+52−1−52−1−52-2-222-2-21−521−521−521−521+521+521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ360000000000
χ20222222−1+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+52−1−52−1−52-2-222-2-21−521−521−521−521+521+521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ360000000000
χ21222222−1+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+52−1−52−1−52-2-2-2-2221−521−521−521−521+521+521+521+5222-2-2−1+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+521−521−521−521−521+521+521+521+520000000000
χ22222222−1+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+52−1−52−1−52-2-2-2-2221−521−521−521−521+521+521+521+52-2-2221−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000
χ23222222−1−52−1+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+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+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+520000000000
χ24222222−1−52−1+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+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000000000
χ25222222−1−52−1+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+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280000000000
χ26222222−1−52−1+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+52−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280000000000
χ27222222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-222-2-21+521+521+521+521−521−521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ280000000000
χ28222222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-222-2-21+521+521+521+521−521−521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ280000000000
χ29222222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-2221+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+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+521−521−521−521−520000000000
χ30222222−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-2221+521+521+521+521−521−521−521−52-2-2221+521+521−521−52−1−52−1+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+520000000000
χ312-2-222-222-2-2-2-2222-2222222-2-2-2-2-2-2002i−2i000000000000000000000000002i−2i2i−2i000000000000002−2i2−i2
χ322-2-222-222-2-2-2-2222-2222222-2-2-2-2-2-2002i−2i000000000000000000000000002i−2i2i−2i00000000000000−22−i2i2
χ332-2-222-222-2-2-2-2222-2222222-2-2-2-2-2-200−2i2i00000000000000000000000000−2i2i−2i2i000000000000002−2−i2i2
χ342-2-222-222-2-2-2-2222-2222222-2-2-2-2-2-200−2i2i00000000000000000000000000−2i2i−2i2i00000000000000−22i2−i2
χ35444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+500004-40000000000000000−1+5−1−51−51+500000000000000000000000000
χ36444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4−1+5−1−51−51−51+51+5−1+5−1−51−51−51+51+50000-4400000000000000001−51+5−1+5−1−500000000000000000000000000
χ37444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−500004-40000000000000000−1−5−1+51+51−500000000000000000000000000
χ38444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1+51+51+51−51−50000-4400000000000000001+51−5−1−5−1+500000000000000000000000000
χ394444-4-44444444400-4-40000-4-40000000000000000002-20022220000-2-2-2-20000000000000000000000
χ404444-4-44444444400-4-40000-4-4000000000000000000-2200-2-2-2-2000022220000000000000000000000
χ414444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000002-200−2ζ28−2ζ12−2ζ4−2ζ3600002ζ282ζ122ζ42ζ360000000000000000000000
χ424444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000-22002ζ282ζ122ζ42ζ360000−2ζ28−2ζ12−2ζ4−2ζ360000000000000000000000
χ434444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000002-200−2ζ12−2ζ28−2ζ36−2ζ400002ζ122ζ282ζ362ζ40000000000000000000000
χ444444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000-22002ζ122ζ282ζ362ζ40000−2ζ12−2ζ28−2ζ36−2ζ40000000000000000000000
χ454444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000002-200−2ζ4−2ζ36−2ζ12−2ζ2800002ζ42ζ362ζ122ζ280000000000000000000000
χ464444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000-22002ζ42ζ362ζ122ζ280000−2ζ4−2ζ36−2ζ12−2ζ280000000000000000000000
χ474444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000002-200−2ζ36−2ζ4−2ζ28−2ζ1200002ζ362ζ42ζ282ζ120000000000000000000000
χ484444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000-22002ζ362ζ42ζ282ζ120000−2ζ36−2ζ4−2ζ28−2ζ120000000000000000000000
χ494-44-400444-44-4-4-4000000000000002i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i2-2000000
χ504-44-400444-44-4-4-4000000000000002i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i-22000000
χ514-44-400444-44-4-4-400000000000000−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i-22000000
χ524-44-400444-44-4-4-400000000000000−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i2-2000000
χ534-4-444-444-4-4-4-444-4444-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000
χ544-4-444-4−1+5−1−51−51−51+51+5−1+5−1−54-4−1+5−1−5−1+5−1+5−1−5−1−51−51+51−51−51+51+5004i−4i00000000000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14000000000000000000
χ554-4-444-4−1+5−1−51−51−51+51+5−1+5−1−54-4−1+5−1−5−1+5−1+5−1−5−1−51−51+51−51−51+51+500−4i4i000000000000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14000000000000000000
χ564-4-444-4−1+5−1−51−51−51+51+5−1+5−1−5-44−1+5−1−51−51−51+51+51−51+5−1+5−1+5−1−5−1−50000002ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000
χ574-4-444-4−1+5−1−51−51−51+51+5−1+5−1−5-44−1+5−1−51−51−51+51+51−51+5−1+5−1+5−1−5−1−5000000−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000
χ584-4-444-4−1−5−1+51+51+51−51−5−1−5−1+54-4−1−5−1+5−1−5−1−5−1+5−1+51+51−51+51+51−51−5004i−4i00000000000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38000000000000000000
χ594-4-444-4−1−5−1+51+51+51−51−5−1−5−1+54-4−1−5−1+5−1−5−1−5−1+5−1+51+51−51+51+51−51−500−4i4i000000000000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38000000000000000000
χ604-4-444-4−1−5−1+51+51+51−51−5−1−5−1+5-44−1−5−1+51+51+51−51−51+51−5−1−5−1−5−1+5−1+5000000−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000
χ614-4-444-4−1−5−1+51+51+51−51−5−1−5−1+5-44−1−5−1+51+51+51−51−51+51−5−1−5−1−5−1+5−1+50000002ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000
χ624-4-44-4444-4-4-4-44400-4-4000044000000000000000000002-200000000000000002-22-22-22-20000000000
χ634-4-44-4444-4-4-4-44400-4-400004400000000000000000000-220000000000000000-22-22-22-220000000000
χ644-4-44-44−1+5−1−51−51−51+51+5−1+5−1−5001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000002-20000000000000000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000000000
χ654-4-44-44−1+5−1−51−51−51+51+5−1+5−1−5001−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000-2200000000000000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000000000
χ664-4-44-44−1+5−1−51−51−51+51+5−1+5−1−5001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000002-20000000000000000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000000000
χ674-4-44-44−1+5−1−51−51−51+51+5−1+5−1−5001−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000-2200000000000000002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000000000
χ684-4-44-44−1−5−1+51+51+51−51−5−1−5−1+5001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000002-20000000000000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000000000
χ694-4-44-44−1−5−1+51+51+51−51−5−1−5−1+5001+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000-2200000000000000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000000000
χ704-4-44-44−1−5−1+51+51+51−51−5−1−5−1+5001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000002-20000000000000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000000000
χ714-4-44-44−1−5−1+51+51+51−51−5−1−5−1+5001+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000-2200000000000000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000000000
χ7288-8-80088-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000
χ7388-8-800−2+25−2−252−25−2+252+25−2−252−252+2500000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000
χ7488-8-800−2+25−2−252−25−2+252+25−2−252−252+25000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000
χ7588-8-800−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000
χ7688-8-800−2−25−2+252+25−2−252−25−2+252+252−2500000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000
χ778-88-800−2+25−2−25−2+252−25−2−252+252−252+25000000000000004i−4i0000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ1400000000000000000000000000000000000000
χ788-88-800−2+25−2−25−2+252−25−2−252+252−252+2500000000000000−4i4i00002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000
χ798-88-800−2−25−2+25−2−252+25−2+252−252+252−25000000000000004i−4i0000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ3800000000000000000000000000000000000000
χ808-88-800−2−25−2+25−2−252+25−2+252−252+252−2500000000000000−4i4i00002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000

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