Finite Group Databasebeta

← Group #12012316

Character table — Group #12012316

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122222222224444444444444488888888888816161616161616161616161616161616161616161616161616161616168080808080808080
order1222225510101010101044101010102020202020202020444420202020202020204448820202020202020202020202020202020404040404040404022448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111
χ71111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111
χ81111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1
χ9222222222222222222222222222222-2-222222222-20000-2-2-2-2-2-2-2-2000000000000000000000000
χ102222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-220000-2-2-2-22222000000000000000000000000
χ1122222222222222-2-22222-2-2-2-2-2-2-2-2002-2000000000000022-2-200000000000000000000020-20000
χ1222222222222222-2-22222-2-2-2-2-2-2-2-2002-2000000000000022-2-2000000000000000000000-2020000
χ1322222222222222-2-22222-2-2-2-2-2-2-2-200-220000000000000-2-2220000000000000000000020-200000
χ1422222222222222-2-22222-2-2-2-2-2-2-2-200-220000000000000-2-22200000000000000000000-20200000
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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−52−1−52−1−5200000000
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+52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-2−1+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+5200000000
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+52−1−52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-200001−521+521−521+521−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000
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+52−1−52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-200001−521+521−521+521−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000
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+52−1−52−1−52-2-2221−521−521−521−521+521+521+521+52-222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000000
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+52−1−52−1−52-2-2221−521−521−521−521+521+521+521+52-2-2-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000
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+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+52200001−521+521−521+52−1+52−1+52−1−52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000
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+52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+52200001−521+521−521+52−1+52−1+52−1−52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000
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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1+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+5200000000
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+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000
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+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-200001+521−521+521−521+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000
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+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-200001+521−521+521−521+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000
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+52-2-2221+521+521+521+521−521−521−521−52-222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000
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+52-2-2221+521+521+521+521−521−521−521−52-2-2-222−1−52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000
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+52-2-2-2-21+521+521+521+521−521−521−521−52200001+521−521+521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000
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+52-2-2-2-21+521+521+521+521−521−521−521−52200001+521−521+521−52−1−52−1−52−1+52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000
χ3122-2-2-222222-2-2-2-22-2-2-2222222-2-2-2-22-20022-2-222-2-2000000000000000000000000000000000i2−i2i2−i2
χ3222-2-2-222222-2-2-2-22-2-2-2222222-2-2-2-22-20022-2-222-2-2000000000000000000000000000000000−i2i2−i2i2
χ3322-2-2-222222-2-2-2-22-2-2-2222222-2-2-2-2-2200-2-222-2-222000000000000000000000000000000000i2−i2−i2i2
χ3422-2-2-222222-2-2-2-22-2-2-2222222-2-2-2-2-2200-2-222-2-222000000000000000000000000000000000−i2i2i2−i2
χ35444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5004-40000000000000−1+5−1−51−51+50000000000000000000000000000
χ36444444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-4−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+500-4400000000000001−51+5−1+5−1−50000000000000000000000000000
χ37444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5004-40000000000000−1−5−1+51+51−50000000000000000000000000000
χ38444444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-4−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−500-4400000000000001+51−5−1−5−1+50000000000000000000000000000
χ394444-4-44444444400-4-4-4-40000000000000000000002-200000000002-22-22-22-20000000000000000
χ404444-4-44444444400-4-4-4-4000000000000000000000-220000000000-22-22-22-220000000000000000
χ414444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5001−51+51−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000002-20000000000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ360000000000000000
χ424444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5001−51+51−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000-2200000000002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ360000000000000000
χ434444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5001−51+51−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000002-20000000000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ40000000000000000
χ444444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5001−51+51−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000-2200000000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ40000000000000000
χ454444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−51+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000002-20000000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ280000000000000000
χ464444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−51+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000-2200000000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ280000000000000000
χ474444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000002-20000000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ120000000000000000
χ484444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5001+51−51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000-2200000000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ120000000000000000
χ4944-4-44-44444-4-4-4-40044-4-4000000000000000000000002-200000000000000002-22-22-22-200000000
χ5044-4-44-44444-4-4-4-40044-4-400000000000000000000000-220000000000000000-22-22-22-2200000000
χ5144-4-44-4−1+5−1−5−1+5−1−51−51−51+51+500−1+5−1−51−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000002-20000000000000000−2ζ282ζ28−2ζ122ζ12−2ζ42ζ4−2ζ362ζ3600000000
χ5244-4-44-4−1+5−1−5−1+5−1−51−51−51+51+500−1+5−1−51−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000-2200000000000000002ζ28−2ζ282ζ12−2ζ122ζ4−2ζ42ζ36−2ζ3600000000
χ5344-4-44-4−1+5−1−5−1+5−1−51−51−51+51+500−1+5−1−51−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000002-20000000000000000−2ζ122ζ12−2ζ282ζ28−2ζ362ζ36−2ζ42ζ400000000
χ5444-4-44-4−1+5−1−5−1+5−1−51−51−51+51+500−1+5−1−51−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000-2200000000000000002ζ12−2ζ122ζ28−2ζ282ζ36−2ζ362ζ4−2ζ400000000
χ5544-4-44-4−1−5−1+5−1−5−1+51+51+51−51−500−1−5−1+51+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000002-20000000000000000−2ζ42ζ4−2ζ362ζ36−2ζ122ζ12−2ζ282ζ2800000000
χ5644-4-44-4−1−5−1+5−1−5−1+51+51+51−51−500−1−5−1+51+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000-2200000000000000002ζ4−2ζ42ζ36−2ζ362ζ12−2ζ122ζ28−2ζ2800000000
χ5744-4-44-4−1−5−1+5−1−5−1+51+51+51−51−500−1−5−1+51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000002-20000000000000000−2ζ362ζ36−2ζ42ζ4−2ζ282ζ28−2ζ122ζ1200000000
χ5844-4-44-4−1−5−1+5−1−5−1+51+51+51−51−500−1−5−1+51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000-2200000000000000002ζ36−2ζ362ζ4−2ζ42ζ28−2ζ282ζ12−2ζ1200000000
χ5944-4-4-444444-4-4-4-4-44-4-444-4-4-4-444440000000000000000000000000000000000000000000000000
χ6044-4-4-44−1+5−1−5−1+5−1−51−51−51+51+54-41−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+54-400−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000
χ6144-4-4-44−1+5−1−5−1+5−1−51−51−51+51+54-41−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5-44001−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000
χ6244-4-4-44−1+5−1−5−1+5−1−51−51−51+51+5-441−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000
χ6344-4-4-44−1+5−1−5−1+5−1−51−51−51+51+5-441−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000
χ6444-4-4-44−1−5−1+5−1−5−1+51+51+51−51−54-41+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−54-400−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000
χ6544-4-4-44−1−5−1+5−1−5−1+51+51+51−51−54-41+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5-44001+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000
χ6644-4-4-44−1−5−1+5−1−5−1+51+51+51−51−5-441+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000
χ6744-4-4-44−1−5−1+5−1−5−1+51+51+51−51−5-441+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000
χ688-88-80088-8-88-88-8000000000000000000000000000000000000000000000000000000000000000
χ698-88-800−2+25−2−252−252+25−2+252−25−2−252+25000000000000000000−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000
χ708-88-800−2+25−2−252−252+25−2+252−25−2−252+250000000000000000002ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000
χ718-88-800−2−25−2+252+252−25−2−252+25−2+252−250000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000
χ728-88-800−2−25−2+252+252−25−2−252+25−2+252−25000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000
χ738-8-880088-8-8-88-88000000000000000000000000000000000000000000000000000000000000000
χ748-8-8800−2+25−2−252−252+252−25−2+252+25−2−25000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000000
χ758-8-8800−2+25−2−252−252+252−25−2+252+25−2−250000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000000
χ768-8-8800−2−25−2+252+252−252+25−2−252−25−2+250000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000000
χ778-8-8800−2−25−2+252+252−252+25−2−252−25−2+25000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000000

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