Finite Group Databasebeta

← Group #12011723

Character table — Group #12011723

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111122222222224444444444444488888888888816161616161616161616161616161616161616161616161616161616168080808080808080
order1222225510101010101044101010102020202020202020444420202020202020202448810101010202020202020202020202020404040404040404024448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-111-1-1-1-1-1-1-1-11-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-11-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ71111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-1-111
χ81111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1111-1-1
χ9222222222222222222222222222222-2-2222222220-200000000000-2-2-2-2-2-2-2-20000000000000000
χ102222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20200000000000-2-2-2-222220000000000000000
χ1122222222222222-2-22222-2-2-2-2-2-2-2-2002-200000000000000000000022-2-2000000000000020-20000
χ1222222222222222-2-22222-2-2-2-2-2-2-2-2002-200000000000000000000022-2-20000000000000-2020000
χ1322222222222222-2-22222-2-2-2-2-2-2-2-200-22000000000000000000000-2-22200000000000020-200000
χ1422222222222222-2-22222-2-2-2-2-2-2-2-200-22000000000000000000000-2-222000000000000-20200000
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+52−1−52−1−52−1−52−1−52-22-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+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+52−1−52−1−52−1−52−1−520-2000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521+521−521−521+521+52ζ12−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+52−1−52−1−52−1−52−1−520-2000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521+521−521−521+521+52−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+522-22-2-2−1+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+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+52-2-2-2221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000
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+5202000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521+52−1+52−1+52−1−52−1−52−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+5202000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521+52−1+52−1+52−1−52−1−52ζ12−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+52-22-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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+520-2000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521−521+521+521−521−52−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+520-2000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521−521+521+521−521−52ζ4−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+521−521−521−521−522-22-2-2−1−52−1−52−1+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+521−521−521−521−5200000000
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+521−521−521−521−52-2-2-2221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+521−521−521−521−5202000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521−52−1−52−1−52−1+52−1+52ζ4−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+521−521−521−521−5202000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521−52−1−52−1−52−1+52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000
χ312-2-22-2222-2-222-2-2-22-2-222-2-2-2-222222-20022-2-222-2-20000000000000000000000000000000002−22−2
χ322-2-22-2222-2-222-2-2-22-2-222-2-2-2-222222-20022-2-222-2-2000000000000000000000000000000000−22−22
χ332-2-22-2222-2-222-2-2-22-2-222-2-2-2-22222-2200-2-222-2-2220000000000000000000000000000000002−2−22
χ342-2-22-2222-2-222-2-2-22-2-222-2-2-2-22222-2200-2-222-2-222000000000000000000000000000000000−222−2
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+5004-4000000000000000000000−1+5−1−51−51+500000000000000000000
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+500-440000000000000000000001−51+5−1+5−1−500000000000000000000
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+51−51−5004-4000000000000000000000−1−5−1+51+51−500000000000000000000
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+51−51−500-440000000000000000000001+51−5−1−5−1+500000000000000000000
χ394444-4-44444444400-4-4-4-40000000000000000000020-2002222-2-2-2-2000000000000000000000000
χ404444-4-44444444400-4-4-4-400000000000000000000-20200-2-2-2-22222000000000000000000000000
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+2ζ362ζ4−2ζ3600000000000020-200−2ζ28−2ζ12−2ζ4−2ζ362ζ282ζ122ζ42ζ36000000000000000000000000
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+2ζ362ζ4−2ζ36000000000000-202002ζ282ζ122ζ42ζ36−2ζ28−2ζ12−2ζ4−2ζ36000000000000000000000000
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+2ζ3600000000000020-200−2ζ12−2ζ28−2ζ36−2ζ42ζ122ζ282ζ362ζ4000000000000000000000000
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+2ζ36000000000000-202002ζ122ζ282ζ362ζ4−2ζ12−2ζ28−2ζ36−2ζ4000000000000000000000000
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+2ζ282ζ12−2ζ2800000000000020-200−2ζ4−2ζ36−2ζ12−2ζ282ζ42ζ362ζ122ζ28000000000000000000000000
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+2ζ282ζ12−2ζ28000000000000-202002ζ42ζ362ζ122ζ28−2ζ4−2ζ36−2ζ12−2ζ28000000000000000000000000
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+2ζ2800000000000020-200−2ζ36−2ζ4−2ζ28−2ζ122ζ362ζ42ζ282ζ12000000000000000000000000
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+2ζ28000000000000-202002ζ362ζ42ζ282ζ12−2ζ36−2ζ4−2ζ28−2ζ12000000000000000000000000
χ494-4-444-444-4-444-4-40044-4-4000000000000000000000002i−2i00000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ504-4-444-444-4-444-4-40044-4-400000000000000000000000−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ514-4-444-4−1+5−1−51−51+5−1+5−1−51−51+500−1+5−1−51−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000002i−2i0000000000000000−2ζ222ζ22−2ζ382ζ38−2ζ62ζ6−2ζ142ζ1400000000
χ524-4-444-4−1+5−1−51−51+5−1+5−1−51−51+500−1+5−1−51−51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000000−2i2i00000000000000002ζ22−2ζ222ζ38−2ζ382ζ6−2ζ62ζ14−2ζ1400000000
χ534-4-444-4−1+5−1−51−51+5−1+5−1−51−51+500−1+5−1−51−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000002i−2i0000000000000000−2ζ382ζ38−2ζ222ζ22−2ζ142ζ14−2ζ62ζ600000000
χ544-4-444-4−1+5−1−51−51+5−1+5−1−51−51+500−1+5−1−51−51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000000−2i2i00000000000000002ζ38−2ζ382ζ22−2ζ222ζ14−2ζ142ζ6−2ζ600000000
χ554-4-444-4−1−5−1+51+51−5−1−5−1+51+51−500−1−5−1+51+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000002i−2i0000000000000000−2ζ62ζ6−2ζ142ζ14−2ζ382ζ38−2ζ222ζ2200000000
χ564-4-444-4−1−5−1+51+51−5−1−5−1+51+51−500−1−5−1+51+51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000000−2i2i00000000000000002ζ6−2ζ62ζ14−2ζ142ζ38−2ζ382ζ22−2ζ2200000000
χ574-4-444-4−1−5−1+51+51−5−1−5−1+51+51−500−1−5−1+51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000002i−2i0000000000000000−2ζ142ζ14−2ζ62ζ6−2ζ222ζ22−2ζ382ζ3800000000
χ584-4-444-4−1−5−1+51+51−5−1−5−1+51+51−500−1−5−1+51+51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000−2i2i00000000000000002ζ14−2ζ142ζ6−2ζ62ζ22−2ζ222ζ38−2ζ3800000000
χ594-4-44-4444-4-444-4-44-4-4-4444444-4-4-4-40000000000000000000000000000000000000000000000000
χ604-4-44-44−1+5−1−51−51+5−1+5−1−51−51+54-41−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000
χ614-4-44-44−1+5−1−51−51+5−1+5−1−51−51+54-41−51+5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000
χ624-4-44-44−1+5−1−51−51+5−1+5−1−51−51+5-441−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−54-400−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000
χ634-4-44-44−1+5−1−51−51+5−1+5−1−51−51+5-441−51+5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5-44001−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000
χ644-4-44-44−1−5−1+51+51−5−1−5−1+51+51−54-41+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000
χ654-4-44-44−1−5−1+51+51−5−1−5−1+51+51−54-41+51−5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000
χ664-4-44-44−1−5−1+51+51−5−1−5−1+51+51−5-441+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+54-400−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000
χ674-4-44-44−1−5−1+51+51−5−1−5−1+51+51−5-441+51−5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5-44001+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000
χ6888-8-8008888-8-8-8-8000000000000000000000000000000000000000000000000000000000000000
χ6988-8-800−2+25−2−25−2+25−2−252−252+252−252+250000000000000000002ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000
χ7088-8-800−2+25−2−25−2+25−2−252−252+252−252+25000000000000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000
χ7188-8-800−2−25−2+25−2−25−2+252+252−252+252−25000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000
χ7288-8-800−2−25−2+25−2−25−2+252+252−252+252−250000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000
χ738-88-80088-8-8-8-888000000000000000000000000000000000000000000000000000000000000000
χ748-88-800−2+25−2−252−252+252−252+25−2+25−2−250000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000
χ758-88-800−2+25−2−252−252+252−252+25−2+25−2−25000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000
χ768-88-800−2−25−2+252+252−252+252−25−2−25−2+25000000000000000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000
χ778-88-800−2−25−2+252+252−252+252−25−2−25−2+250000000000000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000

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