Finite Group Databasebeta

← Group #12253182

Character table — Group #12253182

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112222222444444444444888888888888881616161616161616162020404040404080112222222444444444444888888888888881616161616161616162020404040404080
order122445510108810102020202040404040241616404080808080808080802101010101010202024248161642224410101010881010202020204040404024161640408080808080808080210101010101020202424816164
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1111
χ5111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1111-1111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1111-1
χ6111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11
χ7111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-111-1-11-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-111-1-11-1-11
χ8111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-111-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-111-1
χ9222222222-2-2222222-2-2-2-20000-2-2000000000000000002200-2000222222222-2-2222222-2-2-2-20000-2-2000000000000000002200-2000
χ10222222222-2-2222222-2-2-2-20000-2-200000000000000000-2-2002000222222222-2-2222222-2-2-2-20000-2-200000000000000000-2-2002000
χ1122222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−520000000022222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200000000
χ1222222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1−521−521−521−521−521+521+521+521+52-2−1+52−1−521−521−521+521+52−1+52−1−520000000022222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1−521−521−521−521−521+521+521+521+52-2−1+52−1−521−521−521+521+52−1+52−1−5200000000
χ1322222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521−521+521+521−521+520000000022222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521−521+521+521−521+5200000000
χ1422222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+5221−521+52−1+52−1+52−1−52−1−521−521+520000000022222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+5221−521+52−1+52−1+52−1−52−1−521−521+5200000000
χ1522222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+520000000022222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200000000
χ1622222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+521+521+521−521−52−1−52−1+520000000022222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+521+521+521+521+521−521−521−521−52-2−1−52−1+521+521+521−521−52−1−52−1+5200000000
χ1722222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521+521−521−521+521−520000000022222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521+521−521−521+521−5200000000
χ1822222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−5221+521−52−1−52−1−52−1+52−1+521+521−520000000022222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−5221+521−52−1−52−1−52−1+52−1+521+521−5200000000
χ19222-2-222220022-2-2-2-20000002−20022−2−222−2−20000000002-20002−20222-2-222220022-2-2-2-20000002−20022−2−222−2−20000000002-20002−20
χ20222-2-222220022-2-2-2-20000002−20022−2−222−2−2000000000-22000−220222-2-222220022-2-2-2-20000002−20022−2−222−2−2000000000-22000−220
χ21222-2-222220022-2-2-2-2000000−2200−2−222−2−2220000000002-2000−220222-2-222220022-2-2-2-2000000−2200−2−222−2−2220000000002-2000−220
χ22222-2-222220022-2-2-2-2000000−2200−2−222−2−222000000000-220002−20222-2-222220022-2-2-2-2000000−2200−2−222−2−222000000000-220002−20
χ2322-2-2222222-2-2-2-2-22222222-200-2-2000000000220000-2-20000000022-2-2222222-2-2-2-2-22222222-200-2-2000000000220000-2-200000000
χ2422-2-2222222-2-2-2-2-2222222-2200-2-2000000000-2-20000220000000022-2-2222222-2-2-2-2-2222222-2200-2-2000000000-2-200002200000000
χ2522-2-222222-22-2-2-2-222-2-2-2-200002200000000000000000002-2000022-2-222222-22-2-2-2-222-2-2-2-200002200000000000000000002-20000
χ2622-2-222222-22-2-2-2-222-2-2-2-20000220000000000000000000-22000022-2-222222-22-2-2-2-222-2-2-2-20000220000000000000000000-220000
χ2722-2-22−1+52−1−52−1+52−1−522-21−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−522-2001−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ360−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+520000000022-2-22−1+52−1−52−1+52−1−522-21−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−522-2001−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ360−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+5200000000
χ2822-2-22−1+52−1−52−1+52−1−522-21−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−522-2001−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ360−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+520000000022-2-22−1+52−1−52−1+52−1−522-21−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−522-2001−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ360−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+5200000000
χ2922-2-22−1+52−1−52−1+52−1−522-21−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52-22001−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3601−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−520000000022-2-22−1+52−1−52−1+52−1−522-21−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52-22001−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3601−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−5200000000
χ3022-2-22−1+52−1−52−1+52−1−522-21−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52-22001−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3601−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−520000000022-2-22−1+52−1−52−1+52−1−522-21−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52-22001−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3601−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−5200000000
χ3122-2-22−1−52−1+52−1−52−1+522-21+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+522-2001+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ280−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−520000000022-2-22−1−52−1+52−1−52−1+522-21+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+522-2001+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ280−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−5200000000
χ3222-2-22−1−52−1+52−1−52−1+522-21+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+522-2001+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ280−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−520000000022-2-22−1−52−1+52−1−52−1+522-21+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+522-2001+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ280−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−5200000000
χ3322-2-22−1−52−1+52−1−52−1+522-21+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52-22001+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2801+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+520000000022-2-22−1−52−1+52−1−52−1+522-21+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52-22001+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2801+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+5200000000
χ3422-2-22−1−52−1+52−1−52−1+522-21+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52-22001+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2801+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+520000000022-2-22−1−52−1+52−1−52−1+522-21+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52-22001+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2801+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+5200000000
χ3544444−1+5−1−5−1+5−1−5-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+500001−51+5000000000000000000000000044444−1+5−1−5−1+5−1−5-4-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+500001−51+50000000000000000000000000
χ3644444−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−500001+51−5000000000000000000000000044444−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−500001+51−50000000000000000000000000
χ37444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+500000022−2200−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+ζ3900000000000000000444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+500000022−2200−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+ζ3900000000000000000
χ38444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+5000000−222200ζ7−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−ζ3900000000000000000444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+5000000−222200ζ7−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−ζ3900000000000000000
χ39444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−500000022−2200ζ21+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−ζ3700000000000000000444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−500000022−2200ζ21+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−ζ3700000000000000000
χ40444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−5000000−222200−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+ζ3700000000000000000444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−5000000−222200−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+ζ3700000000000000000
χ4144-44-4444400-4-444-4-40000000000000000000000000000000000044-44-4444400-4-444-4-400000000000000000000000000000000000
χ4244-44-4−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+50000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ390000000000000000044-44-4−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+50000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000
χ4344-44-4−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+50000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ390000000000000000044-44-4−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+50000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000
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χ90444-4-4−1+5−1−5−1+5−1−500−1+5−1−51−51+51−51+5000000−222200ζ7−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−ζ3900000000000000000-4-4-4441−51+51−51+5001−51+5−1+5−1−5−1+5−1−500000022−2200−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+ζ3900000000000000000
χ91444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−500000022−2200ζ21+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−ζ3700000000000000000-4-4-4441+51−51+51−5001+51−5−1−5−1+5−1−5−1+5000000−222200−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+ζ3700000000000000000
χ92444-4-4−1−5−1+5−1−5−1+500−1−5−1+51+51−51+51−5000000−222200−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+ζ3700000000000000000-4-4-4441+51−51+51−5001+51−5−1−5−1+5−1−5−1+500000022−2200ζ21+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−ζ3700000000000000000
χ9344-44-4444400-4-444-4-400000000000000000000000000000000000-4-44-44-4-4-4-40044-4-44400000000000000000000000000000000000
χ9444-44-4−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+50000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000-4-44-441−51+51−51+500−1+5−1−51−51+5−1+5−1−50000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000
χ9544-44-4−1+5−1−5−1+5−1−5001−51+5−1+5−1−51−51+50000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900000000000000000-4-44-441−51+51−51+500−1+5−1−51−51+5−1+5−1−50000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900000000000000000
χ9644-44-4−1−5−1+5−1−5−1+5001+51−5−1−5−1+51+51−50000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000-4-44-441+51−51+51−500−1−5−1+51+51−5−1−5−1+50000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000
χ9744-44-4−1−5−1+5−1−5−1+5001+51−5−1−5−1+51+51−50000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000-4-44-441+51−51+51−500−1−5−1+51+51−5−1−5−1+50000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700000000000000000
χ9844-4-44−1+5−1−5−1+5−1−5-441−51+51−51+5−1+5−1−51−51−51+51+50000−1+5−1−50000000000000000000000000-4-444-41−51+51−51+54-4−1+5−1−5−1+5−1−51−51+5−1+5−1+5−1−5−1−500001−51+50000000000000000000000000
χ9944-4-44−1−5−1+5−1−5−1+5-441+51−51+51−5−1−5−1+51+51+51−51−50000−1−5−1+50000000000000000000000000-4-444-41+51−51+51−54-4−1−5−1+5−1−5−1+51+51−5−1−5−1−5−1+5−1+500001+51−50000000000000000000000000
χ1008-800088-8-80000000000000000000000000000000000000000000-88000-8-8880000000000000000000000000000000000000000000
χ1018-8000−2+25−2−252−252+2500000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ390000000000000000000000000000000-880002−252+25−2+25−2−25000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ390000000000000000000000000000000
χ1028-8000−2+25−2−252−252+25000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ390000000000000000000000000000000-880002−252+25−2+25−2−2500000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ390000000000000000000000000000000
χ1038-8000−2−25−2+252+252−2500000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000-880002+252−25−2−25−2+25000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000
χ1048-8000−2−25−2+252+252−25000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ370000000000000000000000000000000-880002+252−25−2−25−2+2500000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ370000000000000000000000000000000

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